import logging
import numpy as np
import unittest

# disable logging messages
logging.disable(logging.CRITICAL)

#-------------------------------------------------------------------------------------------------------------------------------------------
class FixturesTestCase(unittest.TestCase):

    # start and end year of the precipitation, temperature, and PET datasets
    fixture_data_year_start_monthly = 1895
    fixture_data_year_end_monthly = 2017

    # start and end year of the calibration period used for SPI/SPEI Pearson calculations
    fixture_calibration_year_start_monthly = 1981
    fixture_calibration_year_end_monthly = 2010

    # start and end years relevant to the daily datasets
    fixture_data_year_start_daily = 1998
    fixture_calibration_year_start_daily = 1998 
    fixture_calibration_year_end_daily = 2016
    
    # latitude value used for computing the fixture datasets (PET, Palmers)
    fixture_latitude_degrees = 25.2292
        
    # available water capacity value used for computing the fixture datasets (Palmers)
    fixture_awc_inches = 4.5
    
    # array of daily from CMORPH 1998 - 2017, lat/lon indices: 0/7
    fixture_precips_mm_daily = np.array([ \
        [0.00,  0.00,  2.36,  9.45,  0.00,  0.74,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.73,  0.00,  0.00,  0.36,  0.16,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.18,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 10.95,  1.79, 17.85,  0.00,  \
         0.00,  0.00,  0.15,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  9.59,  \
        11.08,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  1.16,  \
        29.35,  0.28,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.18,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  3.28,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  4.78,  0.44,  0.00,  0.00,  0.07,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.67,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00 ], \
        [0.00,  0.00,  0.00,  0.00,  0.36,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.21,  0.00,  0.00,  0.00,  \
         0.05,  0.00,  0.00,  0.00,  0.00,  0.00,  0.42,  2.41,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  2.81,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.23,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.15,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.30,  0.00,  \
         0.00,  0.00,  0.25,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  5.84,  0.00,  0.00,  0.11,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.16,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.16,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  1.57,  0.65,  0.00,  0.00,  0.00,  0.00,  0.13,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.11,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.86, 43.79,  0.00,  0.07,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00, 16.19, 28.34,  1.28,  0.25,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00, 65.41,  0.38,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.13,  0.15,  0.44,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.93,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00 ], \
        [0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.18,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.15,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.72,  0.90,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.15,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.10,  0.00,  0.00,  0.00, 10.95,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  1.29,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.35, 12.31,  0.30,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.20,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  2.35,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.36,  0.08,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  2.17,  9.12,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.93 ], \
        [1.87,  8.66, 10.89,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.18,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  3.94,  0.18,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.08,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.46,  0.00,  0.22,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  1.01,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 25.48,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  3.81, 46.76,  0.11,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  1.78,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.08,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  1.17,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
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         0.00,  0.00,  0.00,  0.00,  0.00,  0.15,  1.07,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.10,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.74,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.06,  7.63,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.37,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.13,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.06, 16.91,  0.57,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 16.17, 27.33,  \
         3.67,  0.32,  0.18,  0.00,  0.00,  0.00,  0.00,  0.00,  0.53,  0.00,  \
         0.00,  0.00,  0.00,  0.00, 25.78,  2.23,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 14.61,  0.58,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.08,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.29,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.02,  1.66,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00 ], \
        [0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  2.62,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  1.77,  0.21,  0.00,  0.00,  0.01,  5.32,  \
         0.65,  0.27,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.56,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.01,  \
         0.03, 42.32,  9.86,  0.02,  0.00,  0.00,  0.00,  0.01,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.40,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.34,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.29,  0.06,  \
         0.00,  1.00,  0.14,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 21.44,  4.97,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  7.96, 10.27,  0.00,  0.00,  \
        10.60, 55.93,  0.68,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.69, 79.28,  4.66,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00, 22.92,  \
         0.00,  0.00,  0.00,  0.00, 31.35,  2.81,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.80,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  7.83,  1.71,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.28,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.65,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00 ], \
        [0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.78,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.09,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00, 11.16,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.28,  \
         0.05, 59.45,  0.21,  0.00,  2.32,  5.54,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00, 60.70,  5.19,  6.72,  0.00,  0.00,  0.00,  \
         0.00,  0.00, 18.10, 34.26, 18.10,  1.03,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.09,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00 ], \
        [0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.93,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  0.00,  \
         0.00,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
         np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,  \
          np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN,   np.NaN ]
        ])

    # array of gamma transformed/fitted values corresponding to the daily precipitation values array above 
    fixture_transformed_gamma_daily = np.array([ 
        [np.NaN,    np.NaN,  1.108,  2.145,    np.NaN,  2.147,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.373,    np.NaN,    np.NaN,  1.377,  1.123,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.378,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
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           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.142,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  1.980,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  0.662,  2.146,  2.084,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  2.089,  1.974,  \
         1.375,  0.483,  0.633,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.014,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  2.190,  1.138,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.976,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN ], \
        [ np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.608,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.019,  0.937,    np.NaN,    np.NaN,  1.090,  2.144,  \
         2.143,  2.148,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  2.145,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.369,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  1.981,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.976,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.246,  1.646,    np.NaN,    np.NaN,  \
         2.028,  2.223,  0.792,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  0.785,  1.790,  1.190,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.420,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.981,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  0.900,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.145,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN ], \
        [ np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,  1.142,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  1.976,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.135,  \
         0.733,  2.111,  0.990,    np.NaN,  1.291,  1.621,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,  2.049,  1.974,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,  2.138,  1.993,  1.573,  2.008,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN ], \
        [ 
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  1.359,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,  \
           np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN,    np.NaN ]
        ])
    
    # array of monthly precipitation observations (122 years and 2 months, Jan 1895 through Feb 2017)
    fixture_precips_mm_monthly = np.array(
        [[ 37.3095703125, 85.7001953125, 28.0400390625, 129.400390625, 189.330078125, 146.099609375, 141.169921875, 170.290039063, 149.459960938, 141.919921875, 91.669921875, 29.66015625], \
         [ 63.259765625, 54.9697265625, 28.58984375, 12.7001953125, 89.240234375, 325.719726563, 137.51953125, 122.889648438, 157.030273438, 85.509765625, 88.169921875, 27.330078125], \
         [ 21.580078125, 82.0302734375, 25.669921875, 86.9404296875, 52.7099609375, 155.0703125, 232.76953125, 182.540039063, 320.4296875, 151.3203125, 39.3798828125, 40.1904296875], \
         [ 8.9404296875, 17.98046875, 10.8603515625, 16.6201171875, 33.66015625, 116.009765625, 183.040039063, 302.629882813, 230.9296875, 263.719726563, 65.3701171875, 53.8203125], \
         [ 91.1796875, 157.280273438, 26.3603515625, 101.0703125, 31.2802734375, 205.200195313, 162.209960938, 150.530273438, 223.059570313, 207.75, 14.849609375, 29.4296875], \
         [ 67.66015625, 80.330078125, 140.360351563, 102.240234375, 179.860351563, 204.290039063, 165.860351563, 136.469726563, 141.780273438, 133.540039063, 39.990234375, 84.7001953125], \
         [ 44.0, 49.1796875, 67.8203125, 45.0595703125, 127.8203125, 294.169921875, 151.969726563, 278.580078125, 175.740234375, 39.080078125, 24.25, 61.6796875], \
         [ 17.9296875, 115.76953125, 30.919921875, 31.509765625, 50.41015625, 160.540039063, 108.259765625, 104.23046875, 218.0703125, 294.450195313, 48.599609375, 54.4404296875], \
         [ 106.0703125, 107.620117188, 142.030273438, 1.5302734375, 57.83984375, 162.110351563, 159.809570313, 143.440429688, 232.040039063, 42.8896484375, 96.759765625, 29.9404296875], \
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         [ 10.3095703125, 9.669921875, 46.3095703125, 83.2802734375, 157.4296875, 108.009765625, 225.620117188, 214.33984375, 164.559570313, 91.6796875, 11.76953125, 132.9296875], \
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         [ 75.419921875, 17.919921875, 62.33984375, 58.0400390625, 123.5703125, 379.099609375, 158.940429688, 168.080078125, 216.66015625, 70.2099609375, 58.9697265625, 141.849609375], \
         [ 49.5595703125, 152.0, 135.73046875, 5.330078125, 74.4296875, 42.900390625, 141.299804688, 145.530273438, 347.6796875, 75.830078125, 176.209960938, 29.8095703125], \
         [ 87.7900390625, 6.4404296875, 22.1201171875, 31.7802734375, 94.3203125, 212.389648438, 116.919921875, 213.940429688, 263.200195313, 366.639648438, 52.4599609375, 31.6201171875], \
         [ 24.990234375, 46.330078125, 57.740234375, 71.2802734375, 24.6298828125, 213.1796875, 110.240234375, 205.639648438, 137.16015625, 207.299804688, 13.0595703125, 56.26953125], \
         [ 11.3896484375, 0.740234375, 72.7802734375, 73.7998046875, 107.690429688, 134.110351563, 210.280273438, 247.669921875, 273.51953125, 242.08984375, 44.9404296875, 55.4296875], \
         [ 39.4697265625, 77.650390625, 34.25, 15.4697265625, 143.110351563, 348.809570313, 233.669921875, 101.950195313, 131.580078125, 43.650390625, 46.6904296875, 56.6396484375], \
         [ 13.48046875, 29.7998046875, 136.809570313, 73.3095703125, 216.719726563, 159.139648438, 72.919921875, 197.16015625, 257.099609375, 56.1201171875, 124.040039063, 29.0703125], \
         [ 58.23046875, 69.83984375, 8.2197265625, 46.5703125, 24.3203125, 28.2802734375, 213.139648438, 186.450195313, 158.8203125, 114.900390625, 32.419921875, 5.5], \
         [ 19.400390625, 3.3896484375, 64.3896484375, 27.849609375, 57.0400390625, 300.809570313, 117.349609375, 271.23046875, 251.240234375, 87.51953125, 22.23046875, 31.75], \
         [ 7.5703125, 60.1396484375, 12.0595703125, 30.23046875, 92.919921875, 127.919921875, 239.01953125, 195.4296875, 214.629882813, 37.0703125, 38.900390625, 60.1103515625], \
         [ 39.8798828125, 86.6298828125, 30.16015625, 115.190429688, 114.620117188, 282.759765625, 163.73046875, 84.4404296875, 211.639648438, 167.209960938, 12.75, 47.8095703125], \
         [ 12.6904296875, 62.5, 67.3603515625, 66.919921875, 17.4404296875, 148.940429688, 132.360351563, 262.5, 151.049804688, 109.740234375, 14.6298828125, 12.7900390625], \
         [ 4.650390625, 19.0, 32.41015625, 5.0498046875, 175.059570313, 219.76953125, 116.870117188, 149.740234375, 208.830078125, 20.98046875, 113.919921875, 86.3603515625], \
         [ 33.919921875, 117.900390625, 53.1396484375, 87.76953125, 48.400390625, 111.75, 171.299804688, 224.150390625, 372.209960938, 87.73046875, 66.5595703125, 28.509765625], \
         [ 100.040039063, 3.9697265625, 44.849609375, 42.099609375, 47.0400390625, 119.98046875, 172.419921875, 295.299804688, 247.349609375, 308.620117188, 26.759765625, 12.0703125], \
         [ 5.5498046875, 74.75, 28.3603515625, 207.5, 235.41015625, 183.349609375, 174.120117188, 245.01953125, 155.490234375, 117.860351563, 17.3701171875, 21.5], \
         [ 10.1396484375, 41.650390625, 39.9296875, 133.940429688, 234.559570313, 155.900390625, 207.26953125, 101.620117188, 181.01953125, 61.51953125, 162.830078125, 42.009765625], \
         [ 56.580078125, 47.7099609375, 61.0400390625, 14.0595703125, 60.25, 173.330078125, 174.440429688, 99.9404296875, 127.169921875, 97.5400390625, 40.5498046875, 30.759765625], \
         [ 16.7998046875, 46.7099609375, 39.9697265625, 147.809570313, 29.169921875, 158.099609375, 177.040039063, 196.879882813, 241.0703125, 81.3203125, 99.51953125, 188.700195313], \
         [ 142.169921875, 55.7197265625, 45.1103515625, 33.8095703125, 99.6796875, 164.169921875, 96.6796875, 194.830078125, 141.259765625, 121.040039063, 11.3203125, 32.41015625], \
         [ 34.8896484375, 29.4599609375, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ]])

    # PNP values calculated at 6-month scale corresponding to the monthly precipitation array
    fixture_pnp_6month = np.array(
        [ np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  1.199,  1.171,  1.071,  1.038,  0.978,  0.910,  0.941,  \
          0.971,  0.999,  1.031,  0.855,  0.772,  1.118,  1.055,  0.954,  0.948,  0.957,  0.993,  0.803,  \
          0.755,  0.869,  0.831,  1.010,  0.822,  0.825,  1.033,  0.980,  1.156,  1.141,  1.171,  1.255,  \
          1.116,  1.088,  0.676,  0.408,  0.356,  0.397,  0.615,  0.883,  0.990,  1.178,  1.258,  1.428,  \
          1.514,  1.623,  1.654,  1.508,  1.279,  1.192,  1.112,  0.901,  0.979,  1.021,  1.044,  1.023,  \
          1.041,  1.173,  1.359,  1.324,  1.664,  1.508,  1.420,  1.237,  1.044,  1.002,  0.890,  0.912,  \
          0.872,  0.928,  1.055,  1.007,  1.161,  1.222,  1.197,  1.285,  1.204,  1.112,  1.044,  0.950,  \
          0.897,  0.818,  0.729,  0.859,  0.855,  0.792,  0.809,  0.647,  0.755,  0.975,  1.012,  1.075,  \
          1.241,  1.561,  1.895,  1.402,  1.302,  1.123,  1.026,  0.888,  0.849,  0.832,  0.906,  0.915,  \
          0.931,  0.980,  0.833,  0.992,  0.932,  1.090,  0.972,  0.906,  0.845,  1.060,  1.075,  0.984,  \
          0.985,  1.012,  1.180,  0.765,  0.902,  0.808,  1.025,  1.112,  1.069,  1.002,  0.884,  1.092,  \
          1.043,  0.997,  1.054,  1.072,  1.467,  1.274,  1.211,  1.227,  1.061,  1.073,  0.943,  0.797,  \
          0.693,  0.465,  0.438,  0.292,  0.763,  0.842,  0.878,  0.891,  0.953,  0.908,  0.766,  0.796,  \
          0.800,  0.779,  0.604,  0.694,  0.785,  0.739,  0.751,  0.878,  1.107,  1.141,  1.133,  1.164,  \
          1.216,  1.132,  0.728,  0.706,  0.959,  1.039,  1.081,  1.211,  1.122,  1.072,  0.959,  0.941,  \
          0.873,  0.669,  0.652,  0.470,  0.716,  0.788,  0.788,  0.823,  0.871,  1.133,  1.061,  1.043,  \
          1.060,  1.015,  0.933,  0.375,  0.824,  0.790,  0.971,  1.012,  1.009,  0.976,  1.038,  1.150,  \
          1.185,  1.302,  1.524,  1.816,  1.574,  1.341,  1.135,  0.985,  0.979,  1.020,  1.110,  1.141,  \
          1.228,  1.431,  1.533,  1.511,  1.183,  1.103,  0.965,  0.895,  0.856,  0.744,  0.796,  0.768,  \
          0.837,  0.873,  0.874,  1.443,  1.178,  1.000,  1.174,  1.044,  1.087,  1.010,  1.024,  1.204,  \
          1.123,  1.364,  1.392,  1.270,  1.229,  1.249,  1.234,  1.030,  1.032,  1.055,  1.022,  0.886,  \
          0.777,  0.873,  0.724,  0.761,  0.848,  1.023,  1.144,  1.019,  0.958,  1.080,  1.072,  0.982,  \
          0.860,  0.905,  1.167,  0.778,  0.692,  0.763,  0.861,  0.896,  0.981,  0.986,  0.956,  0.965,  \
          0.949,  0.919,  0.665,  0.752,  0.897,  0.973,  0.953,  0.909,  0.872,  0.851,  0.824,  0.796,  \
          0.782,  0.900,  1.023,  0.932,  1.206,  1.210,  1.102,  1.104,  0.951,  0.882,  0.800,  0.688,  \
          0.703,  0.562,  0.542,  0.803,  1.397,  1.072,  1.217,  1.015,  1.118,  1.052,  0.891,  1.038,  \
          0.863,  1.076,  1.056,  0.961,  0.883,  0.630,  0.704,  0.645,  0.483,  0.832,  0.768,  0.881,  \
          0.876,  0.924,  1.126,  0.408,  0.878,  0.969,  1.031,  1.110,  1.275,  1.612,  1.551,  1.644,  \
          1.676,  1.729,  1.579,  0.807,  0.945,  0.971,  1.062,  1.065,  1.063,  0.974,  0.850,  0.778,  \
          0.813,  0.808,  0.699,  0.875,  1.050,  0.865,  0.848,  0.835,  0.842,  0.888,  0.826,  0.918,  \
          0.973,  0.973,  1.167,  0.959,  1.443,  1.278,  1.053,  1.140,  0.934,  0.820,  0.707,  0.789,  \
          0.966,  0.769,  0.892,  1.233,  1.108,  0.993,  0.981,  1.196,  1.369,  1.338,  1.361,  1.356,  \
          1.254,  1.147,  0.780,  0.741,  0.585,  0.578,  0.695,  0.627,  0.677,  0.762,  0.808,  0.869,  \
          0.791,  0.865,  0.867,  0.543,  0.716,  0.745,  0.871,  1.003,  1.088,  1.093,  1.047,  1.137,  \
          1.106,  0.942,  0.722,  0.715,  0.956,  0.870,  0.908,  0.910,  1.008,  1.186,  1.122,  1.221,  \
          1.308,  1.436,  1.459,  1.203,  1.366,  1.498,  1.319,  1.177,  1.022,  1.023,  0.943,  0.743,  \
          0.900,  0.972,  1.269,  1.465,  1.471,  1.060,  0.800,  0.718,  0.751,  0.680,  0.664,  0.753,  \
          0.854,  0.926,  0.741,  0.617,  1.231,  1.254,  1.074,  1.175,  1.098,  1.215,  1.065,  1.023,  \
          1.103,  0.950,  1.139,  1.148,  1.164,  0.958,  1.059,  1.132,  0.962,  1.147,  1.084,  1.194,  \
          1.152,  1.111,  1.387,  0.715,  1.683,  1.479,  1.349,  1.254,  1.263,  1.168,  0.781,  0.740,  \
          0.702,  0.634,  0.295,  0.498,  0.664,  0.845,  0.967,  0.943,  1.170,  1.111,  1.164,  1.158,  \
          1.184,  1.443,  1.292,  1.217,  1.290,  1.537,  1.556,  1.519,  1.337,  1.381,  1.330,  1.176,  \
          1.049,  0.911,  1.075,  0.904,  1.030,  0.973,  1.014,  0.965,  1.011,  1.045,  0.962,  0.976,  \
          0.954,  0.904,  0.591,  0.361,  0.585,  0.600,  0.711,  0.624,  0.635,  0.681,  0.628,  0.631,  \
          0.565,  0.662,  0.682,  0.701,  0.816,  0.776,  0.889,  0.864,  0.827,  0.968,  0.916,  1.020,  \
          0.936,  1.013,  1.198,  0.818,  0.823,  0.677,  0.821,  0.853,  1.135,  1.084,  1.091,  1.260,  \
          1.289,  1.506,  1.214,  1.834,  1.676,  1.320,  1.337,  1.031,  0.927,  0.793,  0.920,  0.986,  \
          0.864,  1.038,  1.109,  1.535,  1.336,  1.386,  1.183,  1.035,  0.955,  0.766,  0.753,  0.656,  \
          0.724,  0.737,  0.750,  0.766,  0.810,  0.541,  0.700,  0.769,  0.784,  0.974,  1.074,  1.190,  \
          1.167,  1.165,  1.240,  0.764,  0.708,  0.581,  0.788,  0.820,  0.834,  0.926,  0.804,  0.916,  \
          0.806,  0.772,  0.664,  0.409,  0.440,  0.376,  0.448,  0.632,  0.825,  0.938,  0.982,  1.148,  \
          1.148,  1.101,  0.949,  0.660,  0.965,  0.954,  1.072,  1.010,  0.961,  0.945,  0.902,  0.942,  \
          0.865,  0.977,  1.022,  1.138,  1.099,  1.305,  1.430,  1.402,  1.312,  1.537,  1.555,  1.515,  \
          1.488,  1.433,  1.634,  1.128,  1.029,  0.746,  0.776,  0.926,  1.121,  1.196,  1.179,  1.337,  \
          1.301,  1.213,  0.834,  0.602,  0.866,  0.886,  1.199,  1.221,  1.228,  1.320,  1.353,  1.471,  \
          1.295,  1.325,  1.288,  0.918,  0.762,  0.492,  0.709,  0.776,  0.759,  0.927,  0.899,  1.121,  \
          1.019,  1.017,  1.063,  0.938,  0.888,  0.600,  0.757,  0.812,  0.810,  0.741,  0.740,  0.837,  \
          0.726,  0.683,  0.796,  0.690,  0.787,  0.733,  0.881,  0.845,  0.746,  0.947,  0.923,  0.992,  \
          1.053,  1.124,  1.309,  0.824,  0.797,  1.148,  1.120,  1.085,  1.164,  1.238,  1.293,  1.175,  \
          1.083,  1.161,  1.130,  1.253,  1.568,  1.457,  1.450,  1.287,  1.221,  1.052,  0.954,  0.890,  \
          0.795,  0.726,  0.497,  0.529,  0.540,  0.957,  1.052,  0.993,  1.020,  0.970,  0.932,  0.781,  \
          0.672,  0.685,  0.462,  0.456,  0.476,  0.398,  0.426,  0.481,  0.621,  0.688,  0.687,  0.735,  \
          0.752,  0.899,  0.844,  0.798,  1.150,  0.927,  1.037,  0.966,  0.957,  0.980,  0.893,  1.080,  \
          1.257,  1.286,  1.663,  1.606,  2.131,  1.769,  1.529,  1.408,  1.152,  1.168,  0.945,  0.999,  \
          0.887,  0.918,  1.164,  1.110,  1.508,  1.344,  1.456,  1.336,  1.293,  1.466,  1.420,  1.406,  \
          1.292,  1.425,  1.309,  1.236,  1.468,  1.320,  1.401,  1.331,  1.547,  1.449,  1.308,  1.335,  \
          1.356,  1.397,  0.949,  0.615,  0.863,  0.779,  0.641,  0.626,  0.579,  0.650,  0.513,  0.503,  \
          0.573,  0.545,  0.684,  0.663,  0.613,  0.941,  0.925,  0.996,  0.998,  0.941,  1.043,  0.918,  \
          0.884,  0.884,  0.688,  0.666,  0.748,  0.810,  0.755,  0.726,  0.982,  0.986,  0.959,  1.027,  \
          1.102,  1.178,  0.805,  1.046,  0.952,  1.152,  1.152,  1.042,  1.057,  1.077,  1.096,  0.953,  \
          0.948,  1.104,  1.067,  0.766,  0.634,  0.616,  0.617,  0.498,  0.701,  0.929,  0.981,  1.033,  \
          1.202,  1.433,  1.333,  0.904,  1.181,  1.663,  1.596,  1.423,  1.426,  1.406,  1.284,  0.991,  \
          0.900,  0.954,  0.765,  0.527,  0.565,  1.062,  0.971,  0.887,  0.968,  1.115,  1.155,  0.984,  \
          1.034,  1.230,  1.111,  0.737,  1.663,  1.847,  1.743,  1.520,  1.569,  1.738,  1.408,  1.168,  \
          1.280,  1.454,  1.370,  1.117,  1.440,  1.968,  1.699,  1.537,  1.500,  1.616,  1.513,  1.202,  \
          1.287,  1.415,  1.443,  0.785,  1.122,  1.110,  1.083,  0.926,  0.862,  0.968,  0.820,  0.746,  \
          0.631,  0.659,  0.551,  0.185,  0.355,  0.548,  0.558,  0.621,  0.691,  0.825,  0.824,  0.884,  \
          0.951,  1.045,  1.108,  1.198,  1.439,  1.345,  1.379,  1.199,  1.216,  1.104,  1.065,  0.997,  \
          0.957,  1.090,  0.991,  0.970,  0.759,  0.977,  0.950,  1.140,  1.110,  1.108,  1.121,  1.117,  \
          1.132,  0.792,  0.647,  0.569,  0.731,  0.658,  0.767,  0.803,  0.805,  0.814,  0.795,  0.785,  \
          0.675,  0.646,  0.586,  0.456,  0.749,  0.889,  0.958,  0.942,  0.978,  1.029,  0.915,  0.849,  \
          0.799,  0.873,  0.752,  0.796,  1.201,  1.235,  1.137,  1.222,  1.225,  1.122,  1.022,  0.970,  \
          1.072,  0.867,  0.721,  0.763,  1.107,  0.964,  0.912,  0.898,  1.031,  0.991,  0.909,  1.003,  \
          1.066,  1.219,  1.154,  1.493,  1.470,  1.306,  1.178,  1.078,  1.043,  1.063,  1.005,  1.006,  \
          1.076,  1.027,  0.937,  1.141,  1.244,  0.974,  1.004,  0.960,  1.087,  0.979,  0.920,  1.074,  \
          1.068,  1.208,  1.033,  1.099,  1.130,  1.023,  1.085,  1.045,  1.029,  0.966,  1.120,  1.126,  \
          1.033,  1.204,  1.294,  1.197,  0.746,  0.700,  0.778,  1.036,  1.194,  1.167,  1.202,  1.302,  \
          1.330,  0.937,  0.660,  1.220,  1.511,  1.575,  1.434,  1.326,  1.176,  1.009,  0.984,  0.847,  \
          1.181,  1.570,  2.012,  2.331,  1.840,  1.784,  1.315,  1.059,  0.975,  0.946,  1.028,  0.975,  \
          0.975,  0.967,  1.019,  1.023,  1.152,  0.879,  1.020,  0.984,  0.949,  0.880,  0.799,  0.821,  \
          0.683,  0.585,  0.486,  0.636,  0.741,  0.670,  0.926,  0.889,  0.860,  0.876,  0.869,  1.008,  \
          0.902,  1.005,  1.208,  1.145,  0.940,  0.831,  0.750,  0.765,  0.662,  0.641,  0.709,  0.808,  \
          0.882,  0.883,  1.166,  1.239,  1.291,  0.759,  0.672,  0.627,  0.674,  0.778,  0.793,  0.959,  \
          1.066,  1.205,  1.024,  0.861,  0.896,  1.174,  1.346,  1.482,  1.341,  1.295,  1.215,  1.042,  \
          0.820,  0.462,  0.492,  0.508,  0.464,  0.519,  0.639,  0.716,  0.688,  0.665,  0.696,  0.730,  \
          0.641,  0.545,  0.525,  0.611,  0.881,  0.840,  0.857,  0.924,  0.886,  0.871,  0.784,  0.786,  \
          0.846,  0.762,  0.867,  0.912,  1.166,  1.161,  1.097,  1.084,  1.077,  1.159,  1.041,  1.032,  \
          1.031,  1.057,  0.995,  0.788,  0.717,  1.399,  1.294,  1.247,  1.189,  1.088,  1.320,  0.964,  \
          1.189,  1.228,  1.340,  1.612,  1.204,  1.057,  0.840,  0.813,  0.747,  0.831,  0.779,  0.796,  \
          0.833,  1.006,  1.108,  1.092,  1.208,  0.997,  0.898,  0.786,  0.938,  0.937,  1.046,  1.255,  \
          1.372,  1.452,  1.410,  1.495,  1.203,  1.350,  1.320,  1.408,  1.313,  1.399,  1.363,  1.204,  \
          1.197,  1.036,  1.097,  0.676,  1.006,  1.168,  1.033,  1.041,  0.999,  1.121,  1.010,  0.892,  \
          1.024,  1.009,  1.078,  0.748,  0.972,  1.394,  1.301,  1.265,  1.239,  1.164,  1.139,  1.058,  \
          1.060,  1.297,  1.530,  1.655,  1.550,  0.895,  0.898,  0.726,  0.849,  0.862,  1.007,  1.190,  \
          1.296,  1.362,  1.002,  1.079,  0.755,  0.885,  0.787,  0.921,  1.046,  1.321,  1.327,  1.357,  \
          1.431,  1.478,  1.458,  0.866,  0.712,  0.853,  0.851,  0.909,  0.855,  0.936,  0.960,  0.948,  \
          0.948,  0.802,  0.909,  0.695,  0.895,  0.779,  0.975,  1.127,  1.174,  1.266,  1.248,  1.395,  \
          1.357,  1.380,  1.242,  0.814,  1.013,  1.282,  1.388,  1.168,  1.093,  1.045,  0.982,  0.798,  \
          0.592,  0.606,  0.823,  1.086,  1.461,  1.225,  1.120,  1.140,  1.095,  1.000,  0.938,  0.956,  \
          1.084,  1.119,  0.869,  1.023,  0.655,  0.458,  0.635,  0.675,  0.737,  0.756,  0.795,  0.924,  \
          0.777,  0.629,  0.604,  0.466,  0.492,  0.920,  0.929,  1.117,  1.150,  1.131,  1.138,  1.015,  \
          1.009,  0.867,  0.557,  0.499,  0.651,  0.644,  0.915,  0.929,  1.010,  0.945,  0.924,  1.020,  \
          0.880,  0.898,  0.736,  1.130,  1.239,  1.302,  1.290,  1.053,  1.091,  1.067,  0.999,  0.893,  \
          0.806,  0.968,  0.931,  0.822,  0.762,  0.731,  0.806,  0.926,  0.874,  0.857,  0.887,  0.887,  \
          0.834,  0.587,  0.486,  0.270,  0.690,  0.887,  0.924,  0.931,  0.982,  0.929,  0.899,  0.905,  \
          0.922,  1.095,  1.072,  1.502,  1.186,  0.881,  0.960,  0.927,  1.139,  1.058,  1.119,  1.234,  \
          1.321,  1.240,  0.834,  0.871,  0.739,  0.697,  0.700,  0.961,  1.036,  1.241,  1.268,  1.380,  \
          1.345,  1.270,  1.147,  1.081,  1.563,  1.430,  1.470,  1.430,  1.347,  1.158,  0.967,  0.950,  \
          0.852,  0.685,  0.625,  0.806,  1.336,  1.199,  1.323,  1.163,  1.138,  0.982,  0.942,  0.982,  \
          0.910,  1.038,  1.086,  1.170,  0.781,  0.804,  0.864,  0.776,  0.728,  0.763,  0.772,  0.741,  \
          0.620,  0.677,  0.685,  0.983,  0.863,  0.853,  0.974,  0.997,  1.065,  0.921,  1.033,  1.279,  \
          1.427,  1.522,  1.541,  1.721,  1.568,  1.052,  0.806,  0.845,  0.819,  0.852,  0.790,  0.776,  \
          0.805,  0.697,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN, ])
    
    # 30-day PNP values corresponding to the daily precipitation array
    fixture_pnp_30day = np.array([
        [ 
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  0.764,  \
         0.778,  0.834,  0.788,  0.056,  0.101,  0.048,  0.048,  0.071,  0.080,  0.079,  \
         0.073,  0.064,  0.067,  0.071,  0.071,  0.071,  0.073,  0.092,  0.094,  0.094,  \
         0.094,  0.095,  0.094,  0.094,  0.101,  0.108,  0.131,  0.134,  0.134,  0.139,  \
         0.139,  0.112,  0.107,  0.114,  0.055,  0.079,  0.079,  0.039,  0.021,  0.022,  \
         0.026,  0.039,  0.049,  0.051,  0.052,  0.052,  0.051,  0.051,  0.053,  0.053,  \
         0.053,  0.053,  0.055,  0.055,  0.055,  0.055,  0.056,  0.056,  0.056,  0.056,  \
         0.056,  0.180,  0.029,  0.029,  0.029,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  5.719,  6.345, 10.433, 10.042,  \
         9.523,  9.682,  9.668,  9.410,  8.157,  6.146,  6.007,  4.841,  4.649,  5.662,  \
         6.652,  6.594,  6.552,  6.552,  6.513,  6.406,  6.373,  5.060,  5.051,  5.042,  \
         5.063,  5.063,  4.999,  4.919,  4.945,  5.144,  4.308,  4.159,  2.486,  2.633,  \
         5.205,  5.225,  5.225,  5.271,  5.553,  6.406,  6.500,  7.690,  7.778,  6.802,  \
         5.537,  5.612,  5.079,  5.079,  5.119,  5.703,  3.216,  3.621,  3.614,  3.550,  \
         3.507,  2.525,  2.494,  2.532,  2.373,  2.459,  2.224,  2.065,  1.960,  1.754,  \
         0.208,  0.158,  0.147,  0.139,  0.138,  0.137,  0.125,  0.124,  0.112,  0.112,  \
         0.111,  0.101,  0.086,  0.072,  0.070,  0.069,  0.075,  0.073,  0.073,  0.071,  \
         0.071,  0.076,  0.076,  0.075,  0.072,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.409,  0.388,  0.329,  0.327,  0.310,  0.304,  0.304,  0.304,  \
         0.304,  0.290,  0.290,  0.289,  0.287,  0.276,  0.265,  0.317,  0.318,  0.320,  \
         0.320,  0.320,  0.320,  0.320,  0.398,  0.455,  0.468,  0.484,  0.490,  0.502,  \
         0.536,  0.536,  0.099,  0.064,  0.077,  0.077], \
        [ 
         0.072,  0.066,  0.054,  0.054,  0.083,  0.090,  0.090,  0.090,  0.092,  0.098,  \
         0.107,  0.107,  0.089,  0.081,  0.081,  0.080,  0.078,  0.060,  0.059,  0.021,  \
         0.021,  0.020,  0.020,  0.020,  0.019,  0.018,  0.030,  0.034,  0.035,  0.035,  \
         0.038,  0.041,  0.048,  0.047,  0.018,  0.017,  0.045,  0.201,  0.199,  0.195,  \
         0.180,  0.158,  0.166,  0.175,  0.175,  0.175,  0.179,  0.227,  0.232,  0.232,  \
         0.232,  0.234,  0.443,  0.445,  0.476,  0.511,  0.595,  0.608,  0.609,  0.631,  \
         0.627,  0.504,  0.482,  0.516,  0.598,  0.638,  0.588,  0.320,  0.327,  0.337,  \
         0.403,  0.612,  0.769,  0.801,  0.805,  0.807,  0.858,  0.866,  0.888,  0.889,  \
         0.889,  0.888,  0.070,  0.070,  0.070,  0.115,  0.117,  0.118,  0.118,  0.118,  \
         0.118,  0.380,  0.062,  0.062,  0.062,  0.063,  0.063,  0.064,  0.114,  0.115,  \
         0.098,  0.098,  0.134,  0.134,  0.134,  0.134,  0.102,  0.102,  0.102,  0.102,  \
         0.102,  0.102,  0.102,  0.906,  0.907,  0.888,  0.902,  0.902,  0.902,  0.902,  \
         0.896,  0.896,  4.288,  4.136,  4.201,  4.201,  4.232,  4.232,  4.079,  4.079,  \
        12.466, 13.017, 12.169, 12.169, 12.285, 12.285, 12.285,  3.324,  3.324,  3.244,  \
         3.193,  3.193,  3.193,  0.171,  0.171,  0.171,  0.102,  0.102,  0.100,  0.100,  \
         0.103,  0.103,  0.103,  0.107,  0.107,  0.107,  0.107,  0.107,  0.106,  0.106,  \
         0.106,  0.102,  0.104,  0.104,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  1.211,  1.211,  1.211,  0.226,  0.226,  0.226,  0.239,  0.239,  \
         0.225,  0.225,  0.225,  0.187,  0.176,  0.122,  0.084,  0.080,  0.055,  0.053,  \
         0.050,  0.051,  0.050,  0.530,  0.632,  0.476,  0.465,  0.375,  0.360,  0.352,  \
         0.325,  0.322,  0.300,  0.300,  0.298,  0.293,  0.291,  0.231,  0.231,  0.230,  \
         0.231,  0.231,  0.228,  0.225,  0.226,  0.235,  0.250,  0.253,  0.281,  0.281,  \
         0.238,  0.238,  0.239,  0.080,  0.026,  0.030,  0.030,  0.036,  0.036,  0.018,  \
         0.020,  0.020,  0.018,  0.018,  0.018,  0.180,  4.676,  5.233,  5.231,  5.139,  \
         5.076,  3.655,  3.610,  3.665,  3.435,  3.218,  2.911,  2.702,  2.566,  2.377,  \
         2.494,  2.783,  3.802,  3.629,  3.631,  3.602,  3.281,  3.246,  2.951,  2.931,  \
         2.908,  2.649,  2.262,  3.253,  3.150,  3.106,  2.438,  2.496,  2.494,  2.427,  \
         2.411,  2.591,  2.608,  2.554,  2.455,  2.494,  2.533,  2.554,  2.606,  2.623,  \
         2.672,  2.523,  1.852,  1.842,  1.551,  1.553,  1.626,  1.545,  1.612,  1.486,  \
         1.495,  1.606,  1.909,  0.014,  0.000,  0.000,  0.000,  0.005,  0.011,  0.030,  \
         0.031,  0.031,  0.030,  0.030,  0.034,  0.034,  0.035,  0.037,  0.037,  0.039,  \
         0.039,  0.090,  0.090,  0.095,  0.152,  0.154,  0.163,  0.149,  0.167,  0.263,  \
         0.262,  0.262,  0.261,  0.261,  0.173,  0.168,  0.164,  0.146,  0.140,  0.092,  \
         0.086,  0.086,  0.080,  0.069,  0.059,  0.058,  0.054,  0.054,  0.053,  0.053,  \
         0.053,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000], \
        [ 
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.012,  0.014,  0.014,  0.012,  0.012,  0.012,  0.012,  0.012,  0.011,  \
         0.010,  0.009,  0.010,  0.010,  0.010,  0.019,  0.019,  0.024,  0.025,  0.025,  \
         0.025,  0.025,  0.025,  0.025,  0.027,  0.029,  0.035,  0.035,  0.035,  0.037,  \
         0.037,  0.013,  0.013,  0.014,  0.016,  0.098,  0.199,  0.201,  0.206,  0.212,  \
         0.254,  0.386,  0.484,  0.505,  0.507,  0.465,  0.457,  0.462,  0.473,  0.474,  \
         0.474,  0.517,  0.539,  0.539,  0.538,  0.538,  0.547,  0.550,  0.550,  0.551,  \
         0.549,  1.772,  0.289,  0.289,  0.289,  0.173,  0.025,  0.025,  0.025,  0.025,  \
         0.022,  0.022,  0.022,  0.022,  0.022,  0.022,  0.022,  0.022,  0.022,  0.022,  \
         0.022,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.809,  0.757,  0.757,  0.757, 15.598, 15.598, 15.598, 16.506, 16.506,  \
        15.552, 15.552, 15.552, 12.936, 12.143,  8.425,  5.771,  5.503,  3.769,  3.627,  \
         3.440,  3.497,  3.475,  3.382,  2.932,  2.209,  2.159,  1.740,  1.671,  1.551,  \
         1.430,  1.404,  1.396,  1.396,  1.387,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.195,  0.210,  \
         0.232,  0.235,  0.213,  0.213,  0.214,  0.239,  0.135,  0.151,  0.151,  0.148,  \
         0.146,  0.105,  0.104,  0.105,  0.099,  0.093,  0.084,  0.078,  0.074,  0.068,  \
         0.072,  0.059,  0.070,  0.558,  0.570,  0.565,  0.515,  0.510,  0.421,  0.418,  \
         0.415,  0.378,  0.323,  0.274,  0.265,  0.263,  0.287,  0.293,  0.293,  0.286,  \
         0.284,  0.305,  0.307,  0.300,  0.289,  0.293,  0.298,  0.301,  0.307,  0.309,  \
         0.314,  0.347,  0.352,  0.014,  0.060,  0.060,  0.063,  0.060,  0.062,  0.058,  \
         0.058,  0.062,  0.074,  0.088,  0.094,  0.096,  0.096,  0.111,  0.111,  0.117,  \
         0.119,  0.120,  0.117,  0.118,  0.131,  0.132,  0.137,  0.143,  0.143,  0.152,  \
         0.152,  0.152,  0.152,  0.161,  0.041,  0.041,  0.043,  0.040,  0.045,  0.070,  \
         0.070,  0.070,  0.070,  0.070,  0.046,  0.045,  0.044,  0.008,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  0.000,  \
         0.000,  0.000,  0.000,  0.000,  0.000,  0.113,  0.565,  0.677,  0.678,  0.682,  \
         0.684,  0.684,  0.684,  0.684,  0.849,  0.863,  0.886,  0.916,  0.929,  0.952,  \
         1.015,  1.015,  0.946,  0.969,  1.174,  1.277], \
        [ 
         1.521,  2.250,  2.731,  2.715,  2.711,  2.933,  2.923,  2.929,  2.996,  3.006,  \
         2.321,  2.331,  1.932,  1.753,  1.752,  1.745,  1.699,  1.316,  1.286,  1.292,  \
         1.292,  1.282,  1.282,  1.277,  1.213,  1.157,  1.173,  1.328,  1.376,  1.314,  \
         1.223,  0.735,  0.014,  0.014,  0.012,  0.012,  0.012,  0.012,  0.012,  0.011,  \
         0.010,  0.210,  0.231,  0.243,  0.243,  0.244,  0.239,  0.303,  0.310,  0.310,  \
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         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN ]
    ])
         
    # array of expected SPI/gamma values at 30-day scale corresponding to the input array of daily precipitation values,
    # using a calibration period of 1998 - 2016
    fixture_spi_gamma_30day = np.array([
        [
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  0.347,  \
         0.353,  0.394,  0.375, -0.520, -0.365, -0.632, -0.650, -0.592, -0.641, -0.692,  \
        -0.707, -0.780, -0.794, -0.633, -0.634, -0.649, -0.644, -0.582, -0.448, -0.448,  \
        -0.448, -0.391, -0.399, -0.393, -0.320, -0.299, -0.069, -0.026,  0.019,  0.040,  \
         0.048,  0.003, -0.028, -0.022, -0.205, -0.065, -0.087, -0.176, -0.329, -0.324,  \
        -0.331, -0.298, -0.256, -0.134, -0.135, -0.134, -0.318, -0.139, -0.131, -0.130,  \
        -0.130, -0.128, -0.094, -0.094, -0.105, -0.111, -0.078,  0.078,  0.080,  0.080,  \
         0.071, -0.102,  0.029,  0.040, -0.026,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  1.663,  1.772,  2.204,  2.285,  \
         2.240,  2.177,  2.160,  2.273,  2.281,  1.837,  1.865,  1.710,  1.664,  1.858,  \
         2.031,  2.081,  2.128,  2.128,  2.237,  2.161,  2.159,  1.939,  1.936,  1.941,  \
         1.892,  1.892,  1.906,  1.886,  1.855,  1.846,  1.661,  1.625,  1.141,  1.189,  \
         1.766,  1.770,  1.743,  1.731,  1.810,  1.882,  1.877,  2.032,  2.093,  1.948,  \
         1.768,  1.778,  1.765,  1.765,  1.774,  1.860,  1.329,  1.451,  1.447,  1.415,  \
         1.424,  1.117,  1.108,  1.103,  1.073,  1.113,  1.049,  1.004,  0.958,  0.860,  \
        -0.321, -0.450, -0.463, -0.547, -0.547, -0.643, -0.710, -0.714, -0.721, -0.729,  \
        -0.762, -0.915, -0.940, -0.919, -0.928, -1.004, -0.983, -0.992, -0.992, -0.985,  \
        -0.957, -0.901, -0.901, -0.940, -0.857,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  0.217,  0.225,  0.172,  0.107,  0.030,  0.027,  0.026,  0.025,  \
         0.025, -0.044, -0.044, -0.044,  0.001, -0.107, -0.156, -0.103, -0.101, -0.057,  \
        -0.054, -0.054, -0.053, -0.053, -0.017,  0.053,  0.056,  0.096,  0.129,  0.199,  \
         0.306,  0.306, -0.118, -0.174, -0.041,  0.001 ] ,
        [
         0.009,  0.115,  0.111,  0.111,  0.161,  0.212,  0.141,  0.142,  0.191,  0.219,  \
         0.180,  0.193,  0.188,  0.164,  0.163,  0.207,  0.101, -0.037, -0.068, -0.101,  \
        -0.100, -0.188, -0.199, -0.295, -0.334, -0.342, -0.404, -0.436, -0.498, -0.565,  \
        -0.556, -0.622, -0.571, -0.556, -0.698, -0.835, -0.666, -0.270, -0.324, -0.370,  \
        -0.393, -0.472, -0.479, -0.356, -0.357, -0.371, -0.363, -0.278, -0.170, -0.170,  \
        -0.170, -0.118,  0.129,  0.134,  0.204,  0.237,  0.395,  0.432,  0.448,  0.472,  \
         0.475,  0.397,  0.382,  0.399,  0.422,  0.478,  0.431,  0.247,  0.223,  0.234,  \
         0.266,  0.403,  0.504,  0.567,  0.568,  0.570,  0.543,  0.597,  0.610,  0.612,  \
         0.612,  0.613, -0.055, -0.055, -0.067,  0.019,  0.053,  0.185,  0.187,  0.187,  \
         0.178,  0.083,  0.125,  0.136,  0.079,  0.217,  0.238,  0.304,  0.376,  0.468,  \
         0.461,  0.380,  0.422,  0.422,  0.491,  0.491,  0.623,  0.623,  0.623,  0.623,  \
         0.623,  0.705,  0.784,  0.927,  0.933,  0.928,  0.932,  0.932,  0.932,  0.932,  \
         0.964,  0.964,  1.368,  1.367,  1.377,  1.377,  1.382,  1.382,  1.361,  1.361,  \
         2.174,  2.084,  2.203,  2.203,  2.209,  2.209,  2.209,  1.275,  1.275,  1.249,  \
         1.238,  1.238,  1.238,  0.556,  0.556,  0.556,  0.509,  0.509,  0.396,  0.396,  \
         0.445,  0.452,  0.452,  0.525,  0.525,  0.525,  0.525,  0.466,  0.457,  0.456,  \
         0.520,  0.506,  0.599,  0.599,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  0.866,  0.866,  0.866,  0.740,  0.740,  0.740,  0.886,  0.886,  \
         0.739,  0.739,  0.739,  0.579,  0.507,  0.418,  0.172,  0.204,  0.231,  0.108,  \
         0.097,  0.135,  0.209,  0.407,  0.342,  0.320,  0.270,  0.119,  0.112,  0.118,  \
         0.097,  0.035, -0.045, -0.045, -0.139, -0.093, -0.099, -0.264, -0.265, -0.272,  \
        -0.214, -0.214, -0.250, -0.256, -0.199, -0.125, -0.119, -0.118, -0.106, -0.095,  \
        -0.004, -0.004,  0.039, -0.155, -0.261, -0.123,  0.045, -0.012, -0.106, -0.155,  \
        -0.249, -0.245, -0.483, -0.483, -0.483, -0.057,  1.680,  1.834,  1.829,  1.795,  \
         1.823,  1.437,  1.429,  1.410,  1.353,  1.348,  1.295,  1.262,  1.216,  1.138,  \
         1.174,  1.293,  1.617,  1.601,  1.602,  1.631,  1.538,  1.525,  1.403,  1.398,  \
         1.402,  1.342,  1.153,  1.534,  1.495,  1.514,  1.234,  1.261,  1.260,  1.225,  \
         1.209,  1.277,  1.285,  1.272,  1.204,  1.183,  1.200,  1.202,  1.219,  1.221,  \
         1.234,  1.170,  0.912,  0.914,  0.788,  0.789,  0.829,  0.790,  0.820,  0.768,  \
         0.772,  0.833,  0.946, -0.510,  np.NaN,  np.NaN,  np.NaN, -0.571, -0.666, -0.544,  \
        -0.544, -0.428, -0.392, -0.392, -0.337, -0.251, -0.101, -0.029, -0.015, -0.011,  \
        -0.011,  0.078,  0.078,  0.078,  0.264,  0.356,  0.317,  0.201,  0.240,  0.358,  \
         0.292,  0.292,  0.272,  0.272,  0.073,  0.066,  0.093,  0.120,  0.217,  0.161,  \
        -0.008, -0.008, -0.169, -0.165, -0.227, -0.297, -0.368, -0.368, -0.369, -0.370,  \
        -0.370,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN], \
        [
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN, -0.801, -0.765, -0.751, -0.746, -0.893, -0.910, -0.947, -1.116, -1.167,  \
        -1.171, -1.227, -1.248, -1.001, -1.002, -0.928, -0.925, -0.888, -0.715, -0.715,  \
        -0.715, -0.663, -0.669, -0.664, -0.599, -0.585, -0.311, -0.270, -0.201, -0.183,  \
        -0.175, -0.286, -0.351, -0.352, -0.376, -0.026,  0.104,  0.124,  0.091,  0.101,  \
         0.121,  0.230,  0.316,  0.393,  0.394,  0.365,  0.274,  0.359,  0.371,  0.372,  \
         0.372,  0.404,  0.441,  0.441,  0.431,  0.427,  0.457,  0.531,  0.532,  0.533,  \
         0.524,  0.830,  0.405,  0.415,  0.379,  0.373,  0.130,  0.207,  0.202,  0.309,  \
         0.308,  0.212,  0.209,  0.209,  0.298,  0.298,  0.495,  0.495,  0.495,  0.495,  \
         0.495,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  0.897,  0.771,  0.771,  0.771,  2.178,  2.178,  2.178,  2.094,  2.094,  \
         2.176,  2.176,  2.176,  2.161,  2.152,  1.876,  1.671,  1.634,  1.315,  1.312,  \
         1.274,  1.286,  1.260,  1.235,  1.152,  0.957,  1.011,  0.864,  0.840,  0.798,  \
         0.751,  0.731,  0.722,  0.722,  0.690,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  0.109,  0.119,  \
         0.087,  0.096, -0.064, -0.064, -0.062,  0.014, -0.180, -0.196, -0.191, -0.154,  \
        -0.199, -0.206, -0.216, -0.124, -0.134, -0.319, -0.476, -0.636, -0.670, -0.675,  \
        -0.622, -0.742, -0.687,  0.071,  0.083,  0.050, -0.025, -0.031, -0.122, -0.130,  \
        -0.155, -0.290, -0.356, -0.379, -0.394, -0.457, -0.417, -0.404, -0.405, -0.407,  \
        -0.386, -0.325, -0.323, -0.358, -0.305, -0.193, -0.196, -0.172, -0.158, -0.141,  \
        -0.115, -0.014, -0.031, -0.743, -0.522, -0.521, -0.578, -0.607, -0.602, -0.587,  \
        -0.586, -0.499, -0.384, -0.214, -0.148, -0.102, -0.110, -0.118, -0.241, -0.253,  \
        -0.252, -0.167, -0.167, -0.167, -0.099, -0.040,  0.056,  0.145,  0.162,  0.170,  \
         0.170,  0.160,  0.161,  0.162,  0.103,  0.210,  0.148,  0.021,  0.078,  0.187,  \
         0.098,  0.098,  0.050,  0.050, -0.161, -0.165, -0.137, -0.219,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN, -0.366,  0.157,  0.237,  0.239,  0.259,  \
         0.262,  0.262,  0.263,  0.263,  0.345,  0.365,  0.374,  0.411,  0.439,  0.484,  \
         0.567,  0.567,  0.555,  0.577,  0.698,  0.760], \
        [
         0.838,  1.051,  1.157,  1.154,  1.152,  1.203,  1.205,  1.207,  1.227,  1.232,  \
         1.103,  1.109,  1.014,  0.968,  0.967,  0.965,  0.928,  0.790,  0.765,  0.787,  \
         0.788,  0.772,  0.766,  0.751,  0.710,  0.686,  0.628,  0.673,  0.709,  0.663,  \
         0.615,  0.325, -0.765, -0.751, -0.746, -0.893, -0.910, -0.947, -1.116, -1.167,  \
        -1.171, -0.357, -0.342, -0.233, -0.234, -0.246, -0.255, -0.161, -0.061, -0.061,  \
        -0.061, -0.012, -0.020, -0.014,  0.058,  0.087,  0.273,  0.319,  0.341,  0.364,  \
         0.372,  0.301,  0.284,  0.298,  0.312,  0.373,  0.354,  0.372,  0.358,  0.370,  \
         0.414, -0.240, -0.369, -0.237, -0.238, -0.237, -0.449, -0.242, -0.235, -0.234,  \
        -0.234, -0.232, -0.202, -0.202, -0.212, -0.217, -0.187,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  0.110,  0.243,  0.321,  0.381,  0.376,  0.468,  \
         0.461,  0.380,  0.377,  0.377,  0.450,  0.450,  0.620,  0.620,  0.620,  0.620,  \
         0.620,  0.702,  0.781,  0.581,  0.588,  0.588,  0.588,  0.588,  0.588,  0.588,  \
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         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  \
         np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN]
    ])
    
    # array of expected transformed/fitted values corresponding to the array of monthly precipitation values
    fixture_transformed_gamma_monthly = np.array(
        [ [0.0269261753998, 1.05366328957, -0.386771122501, 1.15292908542, 0.948669169315, -0.261359890123, -0.163136989545, 0.12004322861, -0.558579836534, 0.0249385877191, 0.882960392341, -0.0726065029934], \
          [0.6866894432, 0.471519124486, -0.365621048157, -1.31792288211, -0.276262375404, 1.32216128873, -0.23876434331, -0.738692736854, -0.439063535109, -0.757026195636, 0.825134507555, -0.165031994217], \
          [-0.549376012951, 0.992105041396, -0.481433409888, 0.590528745841, -0.974828423395, -0.157748001474, 1.41615142932, 0.315091880086, 1.52442621083, 0.133232227897, -0.214733478769, 0.292531245546], \
          [-1.30965336576, -0.668014642533, -1.29101682922, -1.10814015156, -1.49258432694, -0.644485380651, 0.623388545579, 1.88463123265, 0.563228433262, 1.17694300031, 0.406083048095, 0.680038880634], \
          [1.21981090449, 2.02110165532, -0.453244132455, 0.794165222718, -1.5715449132, 0.357216136776, 0.249020553563, -0.215372575332, 0.467735900953, 0.703965427529, -1.17394876632, -0.0815210247929], \
          [0.779583412558, 0.962991924111, 1.92641227112, 0.810176563938, 0.85472308966, 0.348663176683, 0.316836609803, -0.47257024347, -0.684122641347, -0.0757475701431, -0.197331165839, 1.36687821089], \
          [0.220715552014, 0.33913307035, 0.720258931921, -0.186792363641, 0.270430856022, 1.09564659238, 0.0531927394092, 1.60792212895, -0.159578574327, -1.75898090542, -0.724246172148, 0.874798141673], \
          [-0.724377508678, 1.50479813897, -0.279014498608, -0.547199241799, -1.02922163287, -0.0965550729147, -0.900597043979, -1.1395452721, 0.406042187464, 1.40957027203, 0.0306941277158, 0.696050039811], \
          [1.46220588119, 1.39057288121, 1.94890072427, -2.61833874033, -0.859358027562, -0.0792482185374, 0.203872500162, -0.342928358052, 0.57652760376, -1.65071890706, 0.964576945243, -0.0618292742623], \
          [0.922155046993, 0.216945529588, 0.0956001300735, -0.380898305859, -0.00237626490275, 0.783628281206, -0.806786224911, -0.647971771969, -1.15788440918, 1.45764457663, 0.740594900783, -0.582570760702], \
          [-1.19801496565, -1.16058749697, 0.202658447403, 0.534301125637, 0.618629698523, -0.757768994639, 1.30943929872, 0.783971634795, -0.324018641178, -0.656607002963, -1.36813155987, 2.17582330317], \
          [1.00470915932, 0.351674839267, 0.395379155914, -0.767101897699, 0.943489537796, 0.819639917786, 0.376012987675, 0.955614879088, -1.96925952064, -0.405135716165, -0.535421783543, -2.2717096157], \
          [-0.782111968159, -0.978715258548, -1.8337549426, -0.59033924888, 1.12871002273, -0.107863802341, -0.533293944607, -0.371574239683, -0.0174106978496, -1.41209688174, -0.0793876538537, 0.942840555304], \
          [0.212474248023, -0.442767128471, -1.18842498424, -0.311586577778, -0.116574675435, -0.0879412327094, -0.496683314938, 0.877933322173, 1.70870569575, 0.0868003490185, 0.0885600445372, -0.986386175583], \
          [0.0645310727967, -0.945670373912, -0.391051099161, 0.630415026873, 0.699017461392, 0.307054199048, 0.376386365577, 1.36481145754, -1.10115132769, -0.274432127007, -0.822195227527, 0.241254492439], \
          [-0.378055822026, -0.0973113426154, -0.639651776238, -1.29502427889, 0.245944884824, 0.16291934858, -0.971086113091, 0.0609595008843, -0.0874782069557, 1.61718897266, -1.03079468624, -1.26308767711], \
          [-1.33763450608, -4.24057316636, -1.15847802944, 0.412628116533, 0.970449114085, -0.627829643161, 0.900308495022, 0.00937956206793, -0.522635491638, -0.339390670327, 2.36752058487, 0.419239762828], \
          [1.40834381184, 0.709244198269, 0.68519200923, 0.825396011203, 0.90044200103, -0.0339490414966, -0.827735264213, -1.05257527699, 0.170478197514, 0.716560495276, 2.52728867816, -0.494281685058], \
          [0.389351111136, 0.382972411313, 0.265582163191, 0.720509483416, 0.65208099335, -0.0988777697029, -1.76963346303, -0.589755068868, -0.726175101694, -1.5372824136, 2.04288833639, -0.704351684848], \
          [0.194736035247, 0.0150543941791, -0.601143551496, 1.62450521877, 0.324334311534, -0.797613839198, 1.68072961121, -1.26643095272, 0.285939838497, 0.372645610439, 1.13528761718, 1.4155460313], \
          [0.851323744973, 0.893624442054, -0.0763862219015, -0.37900878079, 0.349876114503, 1.03183210193, 0.703415750326, -1.4418728585, -0.0418770814627, -0.128207122623, 0.407294414104, -0.309760641549], \
          [-0.499968088557, 0.0645394057211, -1.54141583351, 0.656831616692, 0.186060145048, 0.700984606319, 0.91024975441, -1.22719109284, -1.53143284492, 1.25108087597, 0.591856417212, -1.09464621645], \
          [-0.800509367504, -1.2217432429, 0.964204122047, 0.223821093182, -0.631063282973, -0.180945396433, 0.0824167101699, -0.181358912185, 1.13070602918, -0.0397081650511, -1.85235421939, -0.930102169469], \
          [0.178246304335, -1.19770069581, 0.488015143208, 1.0261692371, -0.384071243081, 0.204103971338, -0.439062168595, -1.08870297623, -0.521052632258, 0.211417321082, -0.637807825029, 0.32983249193], \
          [-0.0155895008894, 0.670318618675, 0.964391724421, 0.086552932658, 0.597103037325, 0.565164708368, -1.32983078018, 0.80994360656, -1.49326594469, -1.32551108862, 0.00798840136007, -0.535900518238], \
          [-0.198920786015, 0.274574854234, -0.965068713993, 0.835527264143, 1.78464313361, -1.47508948893, 1.34625349876, -2.33204576761, 0.792438692191, -0.29291861266, 1.03034823364, 0.356449101727], \
          [-1.92684539491, 0.532240511863, 1.29784518673, -1.34565670464, -0.0535850913507, -1.9019851081, -0.785248589597, -1.0280162965, -2.99462693793, 1.98835964909, -1.23151030429, -0.638140749679], \
          [-0.740365139628, -0.712388535356, -2.71465783728, 0.257705677652, 1.0185698995, 0.296817135203, 0.0806716980849, 0.815093293466, 1.36948735413, 2.54970248802, 0.708407595685, 0.0396893782003], \
          [-2.03575060591, -0.586208770991, -1.08249731587, 0.966857707588, 0.615437658823, 0.218721777495, 0.149312115797, 0.0611209400704, -0.356194016676, -0.521987691419, -1.69822573946, -1.66805845961], \
          [1.34671082818, 0.469537221747, -1.28334414937, 0.911812337677, -0.123145189017, -1.38025120366, 0.498209076111, -0.0397964988708, -0.808376361906, 0.736443329861, -1.5256161451, -0.798523922275], \
          [1.62517401648, -0.198706056383, 0.99436960823, 0.174234733108, 1.19209970464, -0.201822126872, -0.928730174378, 1.1179518446, -2.55201985863, -2.64705183088, 0.707701905857, 1.7542223776], \
          [1.97383061923, -1.66135814931, -2.08423999675, 0.256436586536, -0.498826906223, 0.463911952454, 1.44974156264, 1.84932202667, 1.58726581454, -0.119945074323, 0.0386247717027, -1.90261678465], \
          [-0.358697512615, 0.845544975721, -0.398045705372, 0.19116308723, -2.1948298153, -1.04134990683, 0.142412753957, -0.857866937925, -0.384980489432, 0.546232803881, -0.475579285684, -0.925910889467], \
          [-0.934166298111, 0.361085783221, 0.190284710484, -0.785241043809, 0.0469906754747, -0.368778027054, 0.332855008699, 1.48522629533, 0.929028252903, -0.489428652669, -0.54924077287, 0.470624981873], \
          [-0.306282085035, -0.111689241991, 0.286997718812, -0.069182278894, 0.406757336626, -0.234382277315, -0.221225903545, -0.0858079000984, 0.950915821656, 1.37303009645, -0.275482302591, 0.64132244702], \
          [0.798705661706, 0.368555785268, 0.999866102047, 0.84050962936, 0.360850905506, 1.34855663441, -0.873382196588, -0.71943617749, -1.28010941789, 0.381286606348, -0.718620151995, -0.00902652098265], \
          [1.89744269551, 0.128729656378, 1.27808536875, 1.39234199177, -0.540379107922, -1.95908198297, -1.57490262083, -1.51168392129, 0.521160168262, -0.0763585735106, -0.341419874487, -0.981204712935], \
          [0.865472964467, -0.987594524258, -0.308572893661, -0.27891255556, 1.69955789464, 0.422262685799, -1.44186141787, 1.05969807407, -0.944930987519, 0.88061819953, 0.933965325364, -0.730597638209], \
          [-0.06055206264, -1.55755779775, 0.862552913271, 1.40287455664, 0.388183434837, -1.06516477376, 0.798175653544, 0.646397435933, -1.85774502216, 2.07315212049, -0.266265930172, -1.41289672169], \
          [0.13504313094, -0.268083083198, 0.125905410003, 0.44471310356, 2.60107210682, -0.0996560626209, -0.858503145711, -0.400416171949, 0.531076463521, -0.999808895776, -1.48314138268, -1.18832399565], \
          [-1.47844135882, -1.13953923035, -1.4649979772, 1.01674378034, -0.328229241824, 0.34593230935, 0.351553710922, -0.727735899147, 1.75057391415, 0.00531638838106, 0.941935051271, -0.460201599712], \
          [0.706886059623, 1.31055802542, 1.16743596155, -0.716998319029, 0.657283944999, 1.45517530935, 1.3890538268, 1.70125010158, -0.679476346166, 0.223312200958, 0.368911293255, -0.360263863113], \
          [-0.458164425957, 0.827985065494, 1.06541587218, -0.638207822025, 0.396826251459, -0.195610823346, -0.0526297792012, 0.185372484341, 0.917547510632, -0.121311963811, -0.719798508625, -0.780258184844], \
          [-0.211648436989, -0.598802482145, -0.926988423755, -1.28688807637, 0.129440027449, -0.699288879648, 0.184560049315, -2.66394192109, -1.18994053591, -0.511123725405, -0.117868314938, -0.580412811189], \
          [0.350644879662, -0.309684185464, -0.206131357721, 0.135991632517, -0.00507828333617, -0.554910650293, 0.858655753462, -0.613058936336, -1.05318525467, 1.08271232927, -0.702229172888, 0.871713793341], \
          [-0.0406278027438, 0.21821463442, 0.510945881184, -0.200765661466, -0.969018975174, -0.691371105345, 0.769423923291, 0.279611584023, 2.4874878632, -0.980077670574, -0.890888353461, 1.18328341501], \
          [1.01310600961, 1.59094047726, 1.51966050001, 1.80168036312, -1.90907951423, -0.222983703062, 1.27767180323, -1.89711429999, -0.326722185019, -0.156075545942, 1.16944891659, 0.823207616383], \
          [0.0918962726597, 0.377650759711, 0.390392532766, 1.78446958953, -0.294201130504, 1.06418984997, -2.56833258621, -1.20273242142, -0.930750800927, -0.968727696095, 0.0292153090381, 1.6528692143], \
          [-0.188724520127, -1.04069966352, -0.172256589053, -0.701857710528, -0.281264036918, -1.09500302818, 0.616988825928, -0.0758791207489, -0.459300949018, 1.16783058116, 1.6392250146, -1.07293301905], \
          [0.197804135696, -2.60072389212, -0.315605910432, -0.940778041186, 0.537322262312, -1.73455407923, 1.35612864813, -0.553436920725, -0.431006501067, 0.29325772994, -2.19097967023, -0.633650594539], \
          [0.613560943494, -1.55755779775, -1.23967749789, -0.415185548047, -1.67922399452, -1.79528448284, -0.139377040088, 0.646397435933, 1.03212315473, 0.644446910668, -0.370542039469, -0.0807258474592], \
          [-0.517854129924, -0.350735368563, 0.650204865523, -0.295282696875, 0.705846550634, 0.0263843350745, 0.757340808239, -0.692042796411, -0.34922146419, -0.675589547236, 0.883294996611, 0.925722538182], \
          [0.163317461276, 0.744754937831, 0.304521734966, 0.083966030335, 0.095592033924, 1.40756018409, 1.66804279647, 1.15962782654, -0.284066275044, 1.87420079895, 0.603916051073, 1.03191688968], \
          [0.922155046993, -0.934111549147, 0.435526931923, 0.529624259651, -0.494518585439, -1.19150232997, 0.359964979664, 1.02166353905, 1.88866867868, 0.910123805274, -1.0267459877, -0.411537649605], \
          [-1.7951982563, -1.11680815725, 0.201853926124, 0.739339919221, 0.328537503449, -0.0514918275545, 2.15372468561, 0.432221567483, 0.481592416572, 1.21786247128, 1.24361445084, 0.50275887664], \
          [-0.81475912471, -0.134160230705, -0.234413858891, 0.101606793238, -0.284478966291, -2.63799054508, 0.901775437829, 0.258073057202, -0.96731553512, 1.23963464031, -0.532597992562, 0.778569456202], \
          [-0.877053108651, 0.133554845244, -1.56815404505, 1.45863316248, -1.25533325077, -1.95961208859, 0.438588065574, 0.356441339452, -1.06398932164, 0.0689372605728, -1.19851762851, -1.5113733474], \
          [-1.08580145091, 0.669911307446, 0.841403159018, 0.0536008819134, -0.586395147173, -0.886288982119, 0.506897400429, -0.0904295989392, -1.37770083083, 1.44991767526, -1.17626875956, -1.05950021147], \
          [1.57227220353, 0.445105015063, -0.399608611075, -0.0746607542094, -1.56168730766, 1.23559542262, 1.09867379584, 0.284634870159, 0.793349214928, 0.626941236014, -0.255953300697, -0.287121630999], \
          [-0.296113539504, 0.894510996921, 1.0288448284, 1.50447274875, 0.971999898479, 0.383651749518, 0.393104300599, -0.189611735793, 0.242196958052, -0.814208396938, 0.367676416018, -0.970979932707], \
          [-0.940254308329, -1.24220553448, -0.881134831091, 0.0962816071668, -0.353120813, 1.206184579, 0.365261072594, -1.0505599524, -0.0879055536986, -0.857580762461, -1.22664456541, 0.588423776037], \
          [-0.905236140636, -0.383137832899, -3.15934226817, -0.177837110078, -1.42506048631, -1.14676875321, -1.93261268876, -0.717009110103, 0.087187665803, 0.139084128214, -1.48396917814, -0.809972150288], \
          [-1.54636957368, 1.29942101094, 0.336031276132, 0.454803673325, 0.676513692695, -1.27718546873, 0.345884019098, 0.416900868077, -0.104028181466, 0.287203588902, -0.0275684049644, 1.34953201154], \
          [2.34788344411, -0.0282921320136, 2.14961446912, -0.545985298494, 1.78142290408, 0.531551193154, 0.973904387401, -0.176973534415, -0.9339881169, -0.186833924913, -0.209284060743, 1.99840366135], \
          [-0.39241279686, 0.350270367452, 1.36038369814, -0.703226618928, 1.22171034137, 0.895852268099, 1.36866516208, -0.0858079000984, 0.80584414275, 1.30974840978, 1.35192989464, 0.260854691563], \
          [-1.47534554649, 0.465998947874, -1.00321751728, 1.55154685294, 1.46462428643, 0.193003194239, 0.737454438974, 0.476370452875, 2.19865120443, 0.414429857797, 0.382967100547, -1.29955267764], \
          [0.714137272585, -0.0982229912581, -0.324522977529, -2.44325135307, 0.791470259852, -0.921670948466, -2.39390171105, -1.03419906866, -2.02289911528, -0.394847141151, -0.743343182005, -1.10354386205], \
          [0.448504112086, -0.697106404862, 0.508119153322, 0.0323582947106, -1.72640902175, 0.934387317806, -0.23207454045, 0.532689026294, 0.173379141351, -1.06470627446, 0.809855823573, -0.706139141247], \
          [-0.622288054152, 0.924384989287, -2.11319241881, -1.27203071413, 0.399704470733, -0.0731084106456, -2.05427157749, -0.0710906136508, 1.65440437773, -0.777310932803, 0.650552115853, 1.00737345881], \
          [-1.15779172109, 0.388976931563, -0.384050211256, 0.883909133209, -0.4657069345, 1.25229712775, -0.46082617175, -0.672834438177, 0.0136464064914, 0.620539765077, 0.209211170273, 0.216563823654], \
          [-0.429026011763, 0.980496331093, -0.472404876527, -0.724620762941, -1.50949020101, -0.511175141078, -1.46670176034, -1.84817819797, 1.07790192321, 1.39579454619, 0.0182432952607, -0.77276885302], \
          [1.22680728747, 0.0468078669108, 0.160471226821, 0.117120595703, 0.829798594875, 2.06198956796, 1.19712068279, -0.676227193077, 0.753261820959, -0.0299432331625, -1.25179256684, -0.46615762843], \
          [0.483632552731, -0.0598120451206, 0.144112541852, -1.8247435436, -1.18935379173, 1.57054833584, -0.964315814963, -1.15666200252, 0.67989552746, 0.752680323319, -0.16420915429, 0.673016917657], \
          [-0.00527041713984, 0.750296240994, -0.34663256534, -1.28463974645, 2.5340193551, 1.82512548347, 0.173535080246, -0.420900891915, 1.17979303399, 1.31900464403, -0.462432169022, -2.24227185119], \
          [1.53667977888, 0.576538980107, 0.502223593581, 0.836869283821, 0.897066979528, 2.34290127866, -0.102575402897, 0.113353282188, 0.685954934824, 1.57435505707, -0.497081289628, -0.37232634519], \
          [0.931819677322, 0.677442631999, 0.618909296848, -2.65280337261, 0.829281729068, 0.192100417097, 0.411209765443, -1.36695715104, -0.777611526434, 0.247477842369, -1.88592499686, -1.64003411848], \
          [-0.78747604264, -0.38884615834, -1.89985777807, -2.16873676891, -0.551046742935, -0.118764130389, -1.71566790172, -0.267596619357, -0.476373402826, 0.431500783701, -0.136907894715, 1.23691639923], \
          [-0.168868097139, 0.773066750859, 0.00985543817003, 1.18821249811, 0.72599385922, 0.754119805146, 0.709188299835, -0.751713326167, 0.473257721501, -0.410664592457, 0.874627588618, 0.113919831455], \
          [0.561495023079, 0.666125100422, -0.0408690464434, -0.508915375413, -1.135913609, 0.858445052114, -0.201917137876, 2.25703269615, -0.22401642182, -0.430166669568, -1.04266867449, 1.44322785193], \
          [-0.120494741453, -1.75947798906, -1.54428801504, -0.409412970929, -0.203539957773, -0.0630456113237, 0.321804481076, -0.497814904757, -1.0112577782, -0.54461668638, -0.00412986368395, 0.083914596909], \
          [-1.11545355178, -0.235890240259, -1.14411995005, -1.16487525475, 0.728531446701, 0.497917828818, -0.110671589774, -0.278718954312, -0.131484974196, -0.1147044301, -0.666919084911, -0.0877440929556], \
          [-0.52710084731, 0.93225410822, -1.14140174164, 0.679148880195, 1.02646690567, 0.589650193942, -1.49171678273, 1.82296499638, 0.0133778870049, -0.894948525482, 0.376163339265, 0.101774373202], \
          [0.439258885973, 0.218985581669, -1.05952627293, -0.28116651854, 1.16764470956, -0.449596960552, -0.681305505093, -0.0849544699807, 0.892608281127, -0.989074429007, 1.03785557969, 0.922705900481], \
          [0.487680459394, 1.22428838068, 0.773834714344, 0.830256453598, 0.436559502192, 0.352704191441, -0.92403915833, 0.313693507304, 0.0428305031813, 0.576135444124, 0.0489684282296, 0.621175980643], \
          [0.349621415195, -1.00888978878, -0.897704210029, 1.83470872569, 0.212576366949, -0.820788087838, 0.312584472909, -0.899912226748, 0.958590755876, 0.300248378348, -0.408969615044, 1.29704417442], \
          [0.366920374999, 0.262962299725, -0.157721951657, 0.997139892116, -0.437307846699, 0.304563672795, 0.750934679203, 0.0149015225521, -0.279913428924, -0.174529923123, 2.09945318837, 0.0393366623307], \
          [-1.1269782552, 1.50905097596, 0.0851194526879, -2.03575439127, -0.759999593977, -0.549075508685, -0.394157851328, 3.02641440491, 1.60160810488, -1.23445022576, 0.116222422101, -0.730597638209], \
          [-1.00195058859, -0.253111975194, 1.20362228392, 1.85594703843, 1.01723924543, 0.989443862665, -1.50761461792, -0.355934329768, -0.623899114431, -0.277235430029, 1.53156480327, -0.320986422103], \
          [2.84597650712, 2.38221022928, 1.50380345122, 0.534133741727, -1.44932936823, 0.965463092495, -0.828937760985, 0.243539827529, -0.0346240821216, -0.224532670032, 0.630367637642, 1.23894896199], \
          [-1.26916386809, 0.185559787818, 0.883318276202, -0.0234572970032, 0.610367630805, -0.663764207569, 0.651302413063, -0.142589367145, -0.0501128853206, -1.45757396379, 0.0757981043013, -1.23975155205], \
          [-1.53429002951, -1.05558542848, 0.678659576965, 0.240656874399, 0.0206189691366, -1.10846524409, 1.39588099608, -1.00625947285, -0.323416493386, 0.000804396031305, 0.509388330468, 0.816868159314], \
          [0.527960496056, 0.19539847074, 1.49770403337, -0.428485225688, -1.48519215082, -0.247720701465, -1.37729718809, -0.0990172459642, -0.94818226421, -1.2301630988, 0.567181179073, 1.88711703866], \
          [0.513699636102, 0.0784744886288, 1.64777939549, -2.11293040752, 0.325575542397, -2.15742012666, -1.70582710111, -1.31523564015, 0.794714642767, 0.107153691668, 1.27790316116, 0.434464623527], \
          [0.391330572487, -0.28820612937, -0.862076702238, -0.780858780216, 0.628075797449, 1.31701779613, 2.00591881126, 1.99414075142, -1.45539367417, -1.00471837147, -0.256527682182, -1.7206333649], \
          [-0.684463210451, -1.00045776452, 0.321108807361, -0.245674315463, -1.3416378153, -0.813928107057, -0.0946719175616, -0.0971371330291, -0.948533945962, -1.09246135311, -0.11517715997, -0.309760641549], \
          [-1.3297069922, -0.55836891224, 0.184744107808, 0.110866836477, 0.646102588476, -0.357482876397, -1.00605635283, 0.384706043299, -0.683797521689, -0.462712756998, 0.0252333448348, -0.507004543121], \
          [0.652761592083, -0.235555969778, 0.998164816467, 0.11731148238, 0.745480832874, 0.268994959403, -0.20088519046, 0.0943717565084, 0.525997148171, 0.737344304248, -1.0109802219, -0.0718532204003], \
          [-0.193625467659, 0.221519747637, 0.581031155973, 0.397629997367, -2.14622270441, 2.32018020726, -0.92773829885, 0.357359396343, -0.0190622210204, -1.27170985909, 2.15669625321, -0.889220753195], \
          [2.16027079107, 0.262453501382, 0.681482773224, 0.0253578437635, -0.152693530474, -0.557976640502, -0.401321950287, -0.396520645224, -1.04520545918, 0.50288806155, -0.985051046254, -0.689681990409], \
          [0.856102141015, 1.57070122971, -0.424019526666, 0.839695349935, -0.176047495729, -0.981641285346, -0.831107905138, -0.0692067985276, 1.03600394594, 0.314801330911, 1.83358639428, 1.52825629062], \
          [0.571324779819, -0.696627558702, 0.580120041151, 0.758563441473, -0.0329382898049, 1.50727179664, 0.494847157051, 1.42665970027, -0.173570533898, 1.22714538795, -0.848985518357, -0.414438696638], \
          [0.262728166558, -0.716861549237, 0.559527643446, 0.0497315653336, 0.668102479077, 0.828018287011, -1.66680277886, 0.0102132345666, -0.242215140869, 0.992669257104, -0.96254157619, -0.905707120694], \
          [0.934323493004, -0.670915138685, 0.600053591905, 0.0931094461422, 0.216196387189, 1.67558075683, 0.187413997915, 0.0838690806526, 0.388436373133, -1.03024485368, 0.271415005786, 2.30463715651], \
          [0.36716777111, 1.96044054849, 1.86319704058, -1.91474865692, -0.529591646742, -2.03174281173, -0.160470488283, -0.30489489682, 1.78188205519, -0.925386220553, 1.98877000246, -0.0668525111123], \
          [1.16121732455, -1.44537373388, -0.63553000944, -0.539019035726, -0.196085312325, 0.423911292417, -0.693182348256, 0.778376296735, 0.9338811386, 1.90151699628, 0.1240165999, 0.00135431524274], \
          [-0.40410499221, 0.270141951286, 0.493719428775, 0.337658500591, -1.81909724202, 0.43114888704, -0.852187812973, 0.660510126703, -0.761909183905, 0.699844425463, -1.28261472368, 0.742597921298], \
          [-1.11762266124, -2.63662712089, 0.823725870961, 0.380666965358, 0.00173290616125, -0.406844295248, 1.07286311233, 1.22880704813, 1.04610572598, 1.00262913895, -0.0625371941617, 0.721348913583], \
          [0.0918962726597, 0.916297662242, -0.162783219917, -1.16542479646, 0.456188493592, 1.47921669825, 1.42944006978, -1.1918557869, -0.858298317131, -1.62996378931, -0.0173282480966, 0.751897115732], \
          [-0.976973176947, -0.20072660953, 1.87804697084, 0.372375967568, 1.20447675695, -0.112085957925, -1.89184531772, 0.536836064731, 0.866184838663, -1.32258101024, 1.36110195645, -0.0955176757891], \
          [0.575221100722, 0.774006175891, -1.51723201855, -0.151571921106, -1.83179816709, -2.51422857998, 1.11779022622, 0.375514802823, -0.411378868984, -0.31616884263, -0.427894940859, -1.60618888928], \
          [-0.651039208343, -1.84760813956, 0.645789243944, -0.663178225088, -0.876866603807, 1.1445622151, -0.683168882796, 1.52032975621, 0.800172085711, -0.723773980669, -0.808352182973, 0.0061436881278], \
          [-1.43532352059, 0.582148887853, -1.20194879329, -0.58658071154, -0.217885985199, -0.485478601067, 1.5077216462, 0.511168988665, 0.362954769145, -1.81930313762, -0.228536077317, 0.837247244303], \
          [0.103958044652, 1.06899097882, -0.306738603415, 0.980033040735, 0.0977667834734, 1.00990250115, 0.277390012894, -1.62365039533, 0.325132637195, 0.306478923547, -1.30253118958, 0.518212709594], \
          [-1.0280691555, 0.630588091352, 0.710418796954, 0.260768957212, -2.15254847839, -0.228091411117, -0.347992776499, 1.41427913126, -0.533143761518, -0.387397953548, -1.18673866326, -0.923786405348], \
          [-1.7777849085, -0.620205840981, -0.225980411838, -1.94848651667, 0.805872851301, 0.490840998, -0.694344623883, -0.229382972878, 0.289271582475, -2.42318114858, 1.22112028462, 1.39891056283], \
          [-0.0804035792869, 1.53383946196, 0.381629994213, 0.603049295399, -1.07823705547, -0.704102644594, 0.416077769834, 0.919319513743, 2.00288120688, -0.720315133917, 0.430133802722, -0.117588562747], \
          [1.36677854762, -1.75334251271, 0.162143067509, -0.258248161056, -1.11225415294, -0.59026840363, 0.436254133305, 1.80182678719, 0.755782347675, 1.51166304631, -0.626485084899, -0.975330866458], \
          [-1.65763751044, 0.864580898176, -0.374414299551, 1.93775341507, 1.36741220794, 0.144473022364, 0.466714431884, 1.19491075784, -0.463053860901, -0.276296269173, -1.03646556706, -0.423081984654], \
          [-1.21123451595, 0.150382982512, 0.0186786826941, 1.20561882808, 1.36017861604, -0.148368365787, 1.02512647438, -1.19949517245, -0.0843779360191, -1.20490101241, 1.84008678064, 0.348839276214], \
          [0.537275392536, 0.30389367297, 0.570540962819, -1.24021462391, -0.807617268735, 0.0412331019148, 0.472431058684, -1.23864025431, -0.936492652548, -0.565509589377, -0.181537263563, -0.030714505094], \
          [-0.78373977421, 0.279500198468, 0.0198932802241, 1.3599459156, -1.64540812263, -0.123680327992, 0.518572086139, 0.532689026294, 0.683165481536, -0.828150316296, 1.00768596717, 2.91264359532], \
          [1.97331069847, 0.487980941052, 0.16944326923, -0.479183080698, -0.114636500518, -0.0567198985763, -1.19660668395, 0.502240385404, -0.692798415444, -0.234219604707, -1.39958407667, 0.0302826250921], \
          [-0.0489758279722, -0.212121189472, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN] ])
        
    # array of expected transformed/fitted values corresponding to the input array of monthly precipitation values, with calibration period 1981 - 2010
    fixture_transformed_pearson3 = np.array(
        [ [0.207575563962, 0.891472366179, -1.00922952101, 1.6391167868, 1.44792196375, -0.286418872701, 0.116741312905, -0.0596514411755, -0.685648026181, 0.447044252343, 0.735170581984, -0.072222809394], \
         [0.724333615467, 0.393733685862, -0.988154960072, -1.27760052346, -0.1728092956, 1.11642624969, 0.0491679239984, -1.05195738633, -0.544508959748, -0.266910852317, 0.684934159863, -0.159359162222], \
         [-0.272975597532, 0.839071201463, -1.1016288904, 0.827265384606, -0.813015327763, -0.198982104152, 1.41782010836, 0.132421760134, 1.46605968339, 0.543128090868, -0.251543431848, 0.265479075629], \
         [-1.06398226605, -0.609864537376, -1.74842724111, -1.12111894676, -1.15900421229, -0.601930234281, 0.785582612438, 1.49531366586, 0.532426688656, 1.4526337741, 0.31658203345, 0.615957948268], \
         [1.13082712988, 1.71055282105, -1.07444678185, 1.11558192945, -1.20285234384, 0.246437592434, 0.473968587972, -0.41202226006, 0.435698063725, 1.04331330225, -1.29599088556, -0.0805926901626], \
         [0.795655754265, 0.814272779928, 1.9054988102, 1.13854835468, 1.30195116831, 0.238909991914, 0.531213416075, -0.708542275474, -0.83833333152, 0.357261521823, -0.235053050376, 1.2257951022], \
         [0.361734103974, 0.27967820504, 0.265830138956, -0.188662551388, 0.473321744295, 0.909055143391, 0.306379142303, 1.27043298103, -0.227625318449, -1.31960388927, -0.760589953661, 0.790045865638], \
         [-0.430221673927, 1.2743108433, -0.900269150291, -0.596594886023, -0.854324235063, -0.146965823549, -0.580536495999, -1.69887209927, 0.372703844611, 1.65289791892, -0.0225225403981, 0.630313709788], \
         [1.31392096415, 1.17755224507, 1.9374248557, -1.7849412448, -0.721316334703, -0.132205542065, 0.435641250367, -0.555591005175, 0.545826534929, -1.18902387117, 0.805877809441, -0.0621133708199], \
         [0.904665454401, 0.174026027587, -0.492995724978, -0.414447529978, 0.134955196701, 0.626278101623, -0.486103386692, -0.929620052225, -1.47130078145, 1.69421975008, 0.611263559811, -0.565993658358], \
         [-0.920200825975, -1.07791396138, -0.369316263373, 0.748984675648, 0.950443004057, -0.692564482678, 1.33442473993, 0.567040102644, -0.412025305139, -0.172493522681, -1.59371678179, 1.93430620261], \
         [0.967566169659, 0.290500945052, -0.139560055561, -0.819665623601, 1.43978511084, 0.658726325313, 0.580859435965, 0.718795686401, -3.12269855151, 0.0597812143979, -0.564760983201, -3.29052673149], \
         [-0.483991357547, -0.900268442681, -2.02727996345, -0.6420093933, 1.73709917582, -0.156599054035, -0.221517908257, -0.588729808079, -0.0722702726206, -0.9215411971, -0.124356546002, 0.850615744871], \
         [0.355227652093, -0.405936777383, -1.68163469901, -0.335378482332, 0.00272303188144, -0.139622095958, -0.187148721189, 0.650525058886, 1.63887323376, 0.501988693956, 0.0305086892225, -0.994700327026], \
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         [0.601824980934, 0.155352399512, 1.30446813173, -0.467683817152, -1.15478342299, -0.2749561786, -1.10125535872, -0.286082041893, -1.17792325956, -0.730789127814, 0.459196167854, 1.68223168625], \
         [0.590773972841, 0.0537740004357, 1.51309386032, -1.67059448794, 0.545535049832, -1.66835062379, -1.52162668983, -2.08503019043, 0.763376337949, 0.520032359004, 1.07548718862, 0.394600489801], \
         [0.495605439309, -0.268170278183, -1.43920433059, -0.832903611917, 0.964078925856, 1.11170008836, 1.87155936485, 1.58314220399, -1.94290955856, -0.505144553518, -0.291328587447, -2.18231046649], \
         [-0.393651275582, -0.921140105821, -0.229134931723, -0.258566035902, -1.06880375086, -0.736994586201, 0.177320294198, -0.284082281639, -1.17839538369, -0.591790182582, -0.157760378651, -0.297593359886], \
         [-1.09201261731, -0.510060208464, -0.390217367058, 0.181628790893, 0.990201469459, -0.366779590324, -0.689366835101, 0.199155703073, -0.837931452195, 0.00706016645774, -0.0275439551872, -0.490416214783], \
         [0.69821930968, -0.221562039797, 0.627591192403, 0.189933272206, 1.13655135371, 0.168984485706, 0.0831020502837, -0.0855513085425, 0.494822089787, 1.07232025336, -1.08577085539, -0.0715158715571], \
         [0.0284784969277, 0.177988528738, 0.0895539537457, 0.561371381294, -1.45846597166, 2.04542901348, -0.608262188031, 0.173045387704, -0.0740554456391, -0.773563541262, 1.82118354855, -0.886625880794], \
         [1.83784257953, 0.213422094422, 0.216377200094, 0.0725380153584, -0.0379369384098, -0.531852509863, -0.0986381515324, -0.617881079904, -1.31055520071, 0.868077691844, -1.05442919049, -0.67514383107], \
         [0.854225214268, 1.33009056213, -1.04596626574, 1.18099567742, -0.0639293191457, -0.86757086075, -0.510385833433, -0.254498442148, 0.999503216017, 0.703260523604, 1.54836098509, 1.36775152549], \
         [0.63538159065, -0.636101652425, 0.0884124277279, 1.06466344486, 0.0990201951193, 1.2870100759, 0.679746097658, 1.12051058194, -0.243108726926, 1.49589968428, -0.896904968055, -0.399199200004], \
         [0.394841982052, -0.654708121533, 0.0626557657338, 0.103422654897, 1.02225875248, 0.666283097807, -1.46781239338, -0.171590376724, -0.319612099382, 1.29355765671, -1.02759945734, -0.904689573201], \
         [0.913946481228, -0.612520336722, 0.113423717972, 0.158805731697, 0.40354563118, 1.44288387336, 0.42162458843, -0.096192638361, 0.354651084732, -0.530213074856, 0.196163682812, 2.04656618324], \
         [0.476735611813, 1.65937837768, 1.81594702668, -1.60036267876, -0.428847782978, -1.59428467956, 0.11911101325, -0.512122154663, 1.70708309427, -0.427903097772, 1.67954940342, -0.0668240887647], \
         [1.08643695604, -1.3761141437, -1.24504742648, -0.587895685787, -0.0860444103, 0.305269631629, -0.374404008264, 0.562035732259, 0.900086774217, 2.07495794498, 0.0628486032868, -0.0030425985666], \
         [-0.147502398942, 0.22007234394, -0.0190883233588, 0.480318460672, -1.32614162782, 0.311667826993, -0.531543218281, 0.455702534491, -0.935537101625, 1.03973055874, -1.45387488167, 0.672001972462], \
         [-0.826318852928, -3.29052673149, 0.399064388532, 0.538363576467, 0.13981721547, -0.407749011985, 1.1478312565, 0.954114408959, 1.00929819272, 1.30216713957, -0.108681880845, 0.652979913592], \
         [0.25954612129, 0.774476346478, -0.7784516207, -1.16609189111, 0.721632306837, 1.26109702127, 1.42817403918, -1.80371385023, -1.05913029514, -1.16475289839, -0.0667859783922, 0.680322169277], \
         [-0.675143672231, -0.190809110587, 1.83695768323, 0.527141366471, 1.86242320689, -0.16019330867, -1.79828471602, 0.342104655869, 0.833770233142, -0.826537929636, 1.14666204366, -0.0937485575358], \
         [0.638393299318, 0.653020861444, -1.8796719318, -0.146289929561, -1.33190818755, -1.86064523179, 1.18345938498, 0.190394830944, -0.512341973782, 0.140780438325, -0.457497045412, -1.88969475268], \
         [-0.363371393319, -1.89882412598, 0.171096542039, -0.716887181303, -0.735573205318, 0.953699383432, -0.364687237577, 1.19826550209, 0.768765838909, -0.235525291095, -0.851766791124, 0.00142175169065], \
         [-1.25597422931, 0.488757523517, -1.69069960678, -0.638083863046, -0.109909425619, -0.472577840966, 1.48903334964, 0.318246983301, 0.328461206926, -1.3957318463, -0.264653791542, 0.756566550205], \
         [0.269160785414, 0.904513079691, -0.928677108617, 1.38458680301, 0.255495969358, 0.830993191234, 0.497962501928, -3.43488292326, 0.289450810139, 0.695944390465, -1.48498314823, 0.470355364534], \
         [-0.728470659837, 0.530289733197, 0.253255175609, 0.377618260029, -1.46070697136, -0.25843375451, -0.0497411732081, 1.11018659173, -0.655286168039, 0.0759739940714, -1.3136827699, -0.924620922653], \
         [-3.29052673149, -0.566209244214, -0.845223417542, -1.61350315433, 1.22740785186, 0.364537778007, -0.375533143872, -0.427493378916, 0.25230759031, -2.51826234005, 1.02681902803, 1.25400325539], \
         [0.120982812116, 1.298895092, -0.156236261541, 0.844778913954, -0.890525364691, -0.649792713871, 0.614316683699, 0.686978677394, 1.91179253171, -0.232267677777, 0.337966233838, -0.114530066961], \
         [1.24193567049, -1.75630595586, -0.416470351701, -0.273338230047, -0.91508312755, -0.558095695256, 0.631119529187, 1.42848170036, 0.724858467413, 1.74062777468, -0.657856935721, -0.982196958754], \
         [-1.84669436232, 0.730365638237, -0.996935588719, 2.83311001255, 2.13901828276, 0.0604164155884, 0.656429743418, 0.925288602324, -0.572537735145, 0.176912963221, -1.11706330674, -0.407658721984], \
         [-0.936313242818, 0.116295661703, -0.579974999513, 1.71741995156, 2.12653671998, -0.191026774502, 1.10986973435, -1.8196359995, -0.145016105446, -0.704981941009, 1.55386262126, 0.316822879971], \
         [0.609039059437, 0.24924791299, 0.0764207111969, -1.22227802207, -0.678442846158, -0.0288799362942, 0.661172282951, -1.90399179549, -1.16226402724, -0.0877198307179, -0.220123678649, -0.032982576482], \
         [-0.485523485627, 0.228164777721, -0.578614288999, 1.94855033866, -1.24185364796, -0.170056811973, 0.699365523755, 0.338256787956, 0.652675231051, -0.334476870927, 0.843137287951, 2.57513389808], \
         [1.69788135272, 0.407888998498, -0.408004835557, -0.523429338106, 0.00492069766551, -0.112960527545, -0.894426175186, 0.309923952877, -0.849070546489, 0.214937088911, -1.6499790112, 0.0238953042084], \
         [0.14644073154, -0.200863345231, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN] ])

    # array of expected transformed/fitted values corresponding to the input array of monthly precipitation values, 
    # with calibration period corresponding to the full period of record
    fixture_transformed_pearson3_monthly_fullperiod = np.array([
        0.065,  1.113, -0.475,  1.205,  0.952, -0.284, -0.244,  0.167, -0.545,  0.045,  0.875, -0.016, \
        0.688,  0.420, -0.454, -1.295, -0.361,  1.342, -0.318, -0.701, -0.425, -0.726,  0.824, -0.104,  \
        -0.489,  1.039, -0.569,  0.555, -0.994, -0.180,  1.500,  0.354,  1.507,  0.150, -0.130,  0.329,  \
        -1.259, -0.812, -1.279, -1.141, -1.383, -0.666,  0.576,  1.786,  0.570,  1.157,  0.446,  0.689,  \
         1.188,  2.302, -0.541,  0.788, -1.436,  0.344,  0.173, -0.162,  0.476,  0.703, -1.132, -0.024,  \
         0.775,  1.004,  2.092,  0.807,  0.845,  0.335,  0.244, -0.422, -0.673, -0.054, -0.113,  1.320,  \
         0.249,  0.267,  0.706, -0.292,  0.200,  1.106, -0.029,  1.540, -0.145, -1.766, -0.632,  0.869,  \
        -0.661,  1.664, -0.367, -0.651, -1.038, -0.118, -0.919, -1.144,  0.415,  1.380,  0.101,  0.704,  \
         1.414,  1.524,  2.118, -1.843, -0.897, -0.101,  0.126, -0.290,  0.583, -1.648,  0.948, -0.005,  \
         0.909,  0.127,  0.022, -0.489, -0.086,  0.783, -0.839, -0.605, -1.158,  1.426,  0.748, -0.512,  \
        -1.141, -1.241,  0.137,  0.492,  0.579, -0.777,  1.370,  0.793, -0.310, -0.626, -1.386,  2.056,  \
         0.986,  0.281,  0.346, -0.855,  0.946,  0.820,  0.307,  0.951, -2.021, -0.377, -0.441, -3.291,  \
        -0.718, -1.093, -1.634, -0.692,  1.159, -0.130, -0.595, -0.319, -0.004, -1.395, -0.002,  0.931,  \
         0.241, -0.589, -1.199, -0.420, -0.202, -0.109, -0.561,  0.880,  1.685,  0.105,  0.155, -0.929,  \
         0.101, -1.065, -0.480,  0.601,  0.669,  0.292,  0.307,  1.323, -1.099, -0.248, -0.734,  0.281,  \
        -0.323, -0.224, -0.721, -1.279,  0.174,  0.145, -0.979,  0.110, -0.073,  1.579, -0.963, -1.242,  \
        -1.289, -1.959, -1.175,  0.355,  0.977, -0.649,  0.888,  0.060, -0.509, -0.312,  2.185,  0.447,  \
         1.364,  0.700,  0.667,  0.824,  0.897, -0.055, -0.857, -1.045,  0.183,  0.715,  2.325, -0.424,  \
         0.408,  0.317,  0.205,  0.704,  0.617, -0.121, -1.593, -0.544, -0.715, -1.527,  1.901, -0.634,  \
         0.224, -0.100, -0.684,  1.764,  0.258, -0.816,  1.829, -1.292,  0.297,  0.382,  1.100,  1.364,  \
         0.843,  0.921, -0.159, -0.487,  0.285,  1.040,  0.665, -1.504, -0.028, -0.105,  0.447, -0.243,  \
        -0.441, -0.045, -1.457,  0.631,  0.110,  0.697,  0.899, -1.245, -1.549,  1.229,  0.614, -1.048,  \
        -0.736, -1.288,  0.981,  0.146, -0.696, -0.203,  0.001, -0.128,  1.124, -0.019, -2.546, -0.869,  \
         0.208, -1.270,  0.448,  1.057, -0.465,  0.187, -0.508, -1.086, -0.508,  0.226, -0.544,  0.364,  \
         0.024,  0.654,  0.982, -0.003,  0.556,  0.557, -1.269,  0.817, -1.508, -1.305,  0.080, -0.465,  \
        -0.151,  0.193, -1.014,  0.836,  1.934, -1.461,  1.415, -2.863,  0.794, -0.267,  1.007,  0.389,  \
        -2.007,  0.491,  1.363, -1.314, -0.138, -1.845, -0.820, -1.017, -3.230,  1.934, -1.203, -0.567,  \
        -0.677, -0.854, -1.962,  0.183,  1.032,  0.282, -0.001,  0.822,  1.356,  2.469,  0.719,  0.091,  \
        -2.176, -0.732, -1.113,  0.988,  0.576,  0.202,  0.069,  0.110, -0.342, -0.493, -1.976, -1.796,  \
         1.306,  0.418, -1.273,  0.924, -0.209, -1.373,  0.439,  0.011, -0.799,  0.734, -1.628, -0.731,  \
         1.566, -0.334,  1.016,  0.092,  1.233, -0.224, -0.943,  1.099, -2.683, -2.860,  0.718,  1.673,  \
         1.891, -1.573, -1.758,  0.182, -0.574,  0.453,  1.541,  1.755,  1.568, -0.097,  0.108, -2.289,  \
        -0.304,  0.863, -0.487,  0.110, -1.783, -1.052,  0.062, -0.829, -0.371,  0.550, -0.382, -0.864,  \
        -0.870,  0.292,  0.124, -0.871, -0.035, -0.392,  0.261,  1.431,  0.928, -0.460, -0.455,  0.495,  \
        -0.254, -0.240,  0.228, -0.170,  0.347, -0.257, -0.301, -0.034,  0.949,  1.345, -0.188,  0.653,  \
         0.793,  0.301,  1.022,  0.842,  0.297,  1.370, -0.896, -0.680, -1.285,  0.391, -0.626,  0.045,  \
         1.820,  0.027,  1.340,  1.488, -0.613, -1.895, -1.454, -1.592,  0.528, -0.054, -0.251, -0.924,  \
         0.856, -1.101, -0.397, -0.387,  1.832,  0.410, -1.355,  1.046, -0.938,  0.873,  0.921, -0.661,  \
        -0.019, -1.514,  0.866,  1.500,  0.327, -1.075,  0.771,  0.666, -1.899,  2.015, -0.179, -1.427,  \
         0.168, -0.408,  0.055,  0.391,  2.930, -0.121, -0.883, -0.349,  0.538, -0.971, -1.558, -1.154,  \
        -1.444, -1.225, -1.405,  1.046, -0.411,  0.332,  0.281, -0.689,  1.726,  0.025,  0.928, -0.390,  \
         0.707,  1.426,  1.213, -0.810,  0.622,  1.481,  1.467,  1.624, -0.668,  0.238,  0.412, -0.292,  \
        -0.401,  0.842,  1.097, -0.737,  0.336, -0.218, -0.135,  0.230,  0.916, -0.098, -0.627, -0.712,  \
        -0.163, -0.745, -0.982, -1.274,  0.051, -0.720,  0.106, -3.715, -1.191, -0.482, -0.038, -0.509,  \
         0.372, -0.451, -0.293,  0.050, -0.089, -0.577,  0.840, -0.568, -1.050,  1.067, -0.609,  0.866,  \
         0.000,  0.128,  0.473, -0.307, -0.989, -0.712,  0.739,  0.320,  2.436, -0.951, -0.808,  1.152,  \
         0.994,  1.770,  1.618,  1.975, -1.639, -0.246,  1.332, -2.119, -0.312, -0.132,  1.130,  0.821,  \
         0.127,  0.311,  0.341,  1.955, -0.378,  1.074, -2.097, -1.217, -0.924, -0.939,  0.100,  1.580,  \
        -0.141, -1.145, -0.258, -0.796, -0.366, -1.104,  0.569, -0.024, -0.445,  1.149,  1.546, -1.024,  \
         0.227, -1.885, -0.404, -1.005,  0.490, -1.697,  1.427, -0.506, -0.417,  0.305, -3.291, -0.563,  \
         0.619, -1.514, -1.239, -0.523, -1.505, -1.751, -0.221,  0.666,  1.028,  0.645, -0.279, -0.023,  \
        -0.459, -0.494,  0.628, -0.403,  0.677,  0.006,  0.725, -0.651, -0.335, -0.645,  0.876,  0.915,  \
         0.194,  0.743,  0.247, -0.006,  0.015,  1.431,  1.813,  1.137, -0.270,  1.825,  0.625,  1.013,  \
         0.909, -1.055,  0.390,  0.486, -0.570, -1.196,  0.290,  1.012,  1.859,  0.901, -0.959, -0.343,  \
        -1.825, -1.207,  0.136,  0.725,  0.262, -0.073,  2.441,  0.465,  0.489,  1.197,  1.196,  0.525,  \
        -0.751, -0.264, -0.322,  0.013, -0.369, -2.442,  0.890,  0.300, -0.961,  1.218, -0.438,  0.780,  \
        -0.813,  0.032, -1.474,  1.566, -1.214, -1.895,  0.374,  0.393, -1.061,  0.087, -1.162, -1.559,  \
        -1.024,  0.654,  0.843, -0.039, -0.655, -0.902,  0.448, -0.038, -1.387,  1.419, -1.135, -1.009,  \
         1.517,  0.390, -0.488, -0.175, -1.429,  1.252,  1.119,  0.325,  0.795,  0.628, -0.169, -0.221,  \
        -0.244,  0.922,  1.055,  1.621,  0.978,  0.371,  0.325, -0.136,  0.253, -0.784,  0.411, -0.913,  \
        -0.876, -1.303, -0.941,  0.007, -0.436,  1.221,  0.296, -1.042, -0.074, -0.827, -1.197,  0.604,  \
        -0.841, -0.528, -2.033, -0.283, -1.337, -1.153, -1.705, -0.678,  0.100,  0.156, -1.559, -0.743,  \
        -1.521,  1.412,  0.281,  0.402,  0.644, -1.277,  0.275,  0.451, -0.090,  0.300,  0.047,  1.304,  \
         2.240, -0.148,  2.353, -0.650,  1.930,  0.523,  0.973, -0.124, -0.927, -0.162, -0.124,  1.895,  \
        -0.337,  0.280,  1.435, -0.797,  1.267,  0.899,  1.442, -0.034,  0.807,  1.285,  1.292,  0.299,  \
        -1.441,  0.414, -1.047,  1.677,  1.553,  0.176,  0.703,  0.507,  2.158,  0.423,  0.425, -1.285,  \
         0.714, -0.225, -0.413, -1.807,  0.773, -0.937, -1.996, -1.024, -2.080, -0.367, -0.652, -1.058,  \
         0.464, -0.839,  0.470, -0.062, -1.533,  0.939, -0.311,  0.560,  0.185, -1.037,  0.810, -0.636,  \
        -0.561,  0.957, -1.771, -1.263,  0.339, -0.094, -1.785, -0.019,  1.633, -0.747,  0.667,  0.990,  \
        -1.099,  0.324, -0.473,  0.892, -0.543,  1.269, -0.528, -0.631,  0.027,  0.622,  0.266,  0.258,  \
        -0.372,  1.025, -0.560, -0.816, -1.395, -0.534, -1.373, -2.047,  1.073,  1.367,  0.089, -0.704,  \
         1.194, -0.065,  0.092,  0.030,  0.816,  2.116,  1.235, -0.634,  0.756, -0.009, -1.229, -0.396,  \
         0.497, -0.183,  0.074, -1.593, -1.164,  1.601, -0.973, -1.163,  0.684,  0.749, -0.082,  0.683,  \
         0.034,  0.749, -0.435, -1.272,  2.848,  1.868,  0.094, -0.369,  1.172,  1.294, -0.369, -3.291,  \
         1.484,  0.543,  0.464,  0.837,  0.893,  2.412, -0.185,  0.160,  0.690,  1.538, -0.403, -0.304,  \
         0.918,  0.663,  0.593, -1.849,  0.816,  0.175,  0.345, -1.412, -0.767,  0.261, -2.825, -1.750,  \
        -0.723, -0.534, -1.669, -1.731, -0.623, -0.141, -1.555, -0.214, -0.463,  0.439, -0.056,  1.201,  \
        -0.122,  0.776, -0.069,  1.247,  0.699,  0.752,  0.671, -0.715,  0.481, -0.382,  0.868,  0.161,  \
         0.570,  0.649, -0.122, -0.614, -1.123,  0.860, -0.282,  2.114, -0.210, -0.402, -0.977,  1.389,  \
        -0.076, -1.623, -1.459, -0.517, -0.289, -0.084,  0.249, -0.448, -1.006, -0.515,  0.069,  0.133,  \
        -1.055, -0.373, -1.164, -1.184,  0.702,  0.488, -0.193, -0.225, -0.117, -0.092, -0.573, -0.030,  \
        -0.468,  0.967, -1.162,  0.656,  1.041,  0.583, -1.392,  1.732,  0.027, -0.865,  0.419,  0.150,  \
         0.455,  0.129, -1.094, -0.389,  1.204, -0.472, -0.728, -0.033,  0.892, -0.960,  1.013,  0.913,  \
         0.501,  1.321,  0.766,  0.830,  0.379,  0.339, -0.939,  0.353,  0.056,  0.579,  0.118,  0.635,  \
         0.371, -1.119, -0.956,  2.015,  0.138, -0.839,  0.240, -0.875,  0.957,  0.312, -0.316,  1.256,  \
         0.387,  0.179, -0.243,  1.023, -0.516,  0.290,  0.718,  0.065, -0.265, -0.150,  1.950,  0.091,  \
        -1.067,  1.669,  0.011, -1.683, -0.811, -0.571, -0.466,  2.782,  1.581, -1.211,  0.180, -0.661,  \
        -0.939, -0.392,  1.254,  2.040,  1.030,  0.996, -1.404, -0.303, -0.612, -0.251,  1.451, -0.254,  \
         2.703,  2.752,  1.600,  0.491, -1.354,  0.971, -0.858,  0.286, -0.021, -0.199,  0.649,  1.203,  \
        -1.216,  0.091,  0.890, -0.121,  0.570, -0.685,  0.607, -0.090, -0.036, -1.443,  0.143, -1.214,  \
        -1.508, -1.157,  0.660,  0.164, -0.062, -1.117,  1.475, -0.993, -0.309,  0.021,  0.540,  0.815,  \
         0.539,  0.102,  1.593, -0.536, -1.378, -0.270, -1.305, -0.047, -0.942, -1.206,  0.592,  1.794,  \
         0.525, -0.030,  1.767, -1.712,  0.259, -2.063, -1.548, -1.350,  0.796,  0.125,  1.227,  0.461,  \
         0.410, -0.429, -0.924, -0.867,  0.590,  1.337,  2.247,  1.883, -1.469, -0.976, -0.169, -1.886,  \
        -0.622, -1.111,  0.265, -0.353, -1.278, -0.832, -0.177, -0.045, -0.942, -1.065, -0.035, -0.243,  \
        -1.281, -0.705,  0.118,  0.023,  0.610, -0.381, -1.008,  0.420, -0.672, -0.434,  0.096, -0.436,  \
         0.656, -0.373,  1.020,  0.030,  0.721,  0.253, -0.281,  0.142,  0.533,  0.735, -0.941, -0.015,  \
        -0.146,  0.132,  0.551,  0.338, -1.760,  2.388, -0.942,  0.394, -0.005, -1.249,  2.001, -0.826,  \
         2.065,  0.179,  0.663, -0.069, -0.238, -0.580, -0.472, -0.345, -1.041,  0.508, -0.912, -0.619,  \
         0.847,  1.745, -0.512,  0.841, -0.262, -0.995, -0.860, -0.017,  1.032,  0.326,  1.717,  1.467,  \
         0.580, -0.839,  0.550,  0.747, -0.117,  1.535,  0.435,  1.378, -0.159,  1.206, -0.763, -0.345,  \
         0.288, -0.858,  0.527, -0.043,  0.635,  0.829, -1.520,  0.060, -0.228,  0.980, -0.886, -0.843,  \
         0.920, -0.814,  0.572,  0.004,  0.142,  1.711,  0.109,  0.132,  0.398, -1.002,  0.323,  2.173,  \
         0.387,  2.227,  2.018, -1.634, -0.603, -1.957, -0.242, -0.252,  1.756, -0.896,  1.853, -0.010,  \
         1.133, -1.444, -0.717, -0.643, -0.282,  0.412, -0.739,  0.788,  0.932,  1.851,  0.188,  0.055,  \
        -0.348,  0.187,  0.454,  0.271, -1.588,  0.420, -0.878,  0.679, -0.752,  0.699, -1.269,  0.747,  \
        -1.057, -1.890,  0.823,  0.319, -0.082, -0.430,  1.088,  1.200,  1.042,  0.990,  0.014,  0.727,  \
         0.127,  0.948, -0.249, -1.185,  0.401,  1.506,  1.517, -1.204, -0.850, -1.626,  0.056,  0.755,  \
        -0.913, -0.336,  2.035,  0.310,  1.247, -0.134, -1.677,  0.563,  0.866, -1.302,  1.300, -0.037,  \
         0.583,  0.777, -1.441, -0.256, -1.596, -2.349,  1.141,  0.411, -0.397, -0.289, -0.335, -1.698,  \
        -0.589, -1.665,  0.623, -0.760, -0.912,  1.157, -0.730,  1.462,  0.802, -0.693, -0.720,  0.059,  \
        -1.396,  0.550, -1.210, -0.689, -0.303, -0.508,  1.613,  0.539,  0.373, -1.832, -0.143,  0.834,  \
         0.138,  1.132, -0.395,  1.003,  0.018,  1.017,  0.203, -1.737,  0.335,  0.318, -1.296,  0.539,  \
        -0.965,  0.607,  0.695,  0.186, -1.763, -0.251, -0.422,  1.367, -0.520, -0.360, -1.148, -0.862,  \
        -1.802, -0.766, -0.313, -1.648,  0.789,  0.481, -0.740, -0.176,  0.300, -2.550,  1.176,  1.349,  \
        -0.037,  1.700,  0.331,  0.570, -1.077, -0.724,  0.350,  0.918,  1.969, -0.690,  0.468, -0.058,  \
         1.325, -1.620,  0.093, -0.366, -1.104, -0.612,  0.372,  1.713,  0.758,  1.478, -0.532, -0.917,  \
        -1.652,  0.886, -0.463,  2.139,  1.438,  0.126,  0.404,  1.169, -0.449, -0.250, -0.970, -0.354,  \
        -1.155,  0.051, -0.059,  1.267,  1.429, -0.170,  1.032, -1.213, -0.070, -1.180,  1.723,  0.382,  \
         0.548,  0.226,  0.539, -1.240, -0.852,  0.021,  0.411, -1.259, -0.930, -0.536, -0.098,  0.024,  \
        -0.720,  0.198, -0.058,  1.449, -1.483, -0.146,  0.461,  0.560,  0.687, -0.798,  0.987,  2.724,  \
         1.891,  0.440,  0.101, -0.586, -0.200, -0.078, -1.164,  0.531, -0.681, -0.209, -1.431,  0.082,  \
        -0.007, -0.348,  np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])
    
    # array of monthly temperature observations (122 years and 2 months, Jan 1895 through Feb 2017)
    fixture_temps_celsius = np.array(
        [[ 19.650390625, 15.66015625, 21.1103515625, 22.2802734375, 25.5595703125, 27.009765625, 27.73046875, 27.83984375, 27.16015625, 24.51953125, 22.259765625, 18.3701171875], \
         [ 17.0498046875, 17.9296875, 20.5, 23.0703125, 25.330078125, 27.1103515625, 27.5, 28.2802734375, 27.009765625, 24.33984375, 24.58984375, 18.58984375], \
         [ 17.009765625, 21.5302734375, 23.8798828125, 23.16015625, 24.0595703125, 27.650390625, 27.76953125, 27.759765625, 26.349609375, 24.3095703125, 22.650390625, 19.75], \
         [ 19.7802734375, 17.98046875, 22.8603515625, 22.330078125, 25.1103515625, 27.669921875, 27.6396484375, 27.259765625, 27.6201171875, 24.5302734375, 23.0400390625, 18.830078125], \
         [ 20.41015625, 20.009765625, 22.099609375, 22.009765625, 26.4501953125, 27.150390625, 27.2099609375, 28.240234375, 26.7001953125, 25.150390625, 21.66015625, 19.509765625], \
         [ 17.6298828125, 19.150390625, 20.490234375, 22.9296875, 24.8095703125, 27.0302734375, 27.9404296875, 27.8203125, 27.599609375, 26.48046875, 21.41015625, 18.8896484375], \
         [ 18.349609375, 17.669921875, 19.6201171875, 20.599609375, 24.5703125, 26.9501953125, 27.7900390625, 27.08984375, 27.2900390625, 25.1103515625, 18.5595703125, 18.3896484375], \
         [ 16.6904296875, 16.599609375, 21.4599609375, 22.259765625, 25.83984375, 27.1396484375, 27.6298828125, 27.8095703125, 26.9599609375, 26.1396484375, 23.73046875, 19.98046875], \
         [ 19.08984375, 21.5595703125, 23.1796875, 21.58984375, 23.9296875, 26.330078125, 27.349609375, 28.0400390625, 26.41015625, 23.6201171875, 20.759765625, 16.41015625], \
         [ 18.0595703125, 20.5595703125, 22.240234375, 22.9404296875, 24.759765625, 26.1201171875, 26.830078125, 26.9697265625, 26.7900390625, 25.150390625, 19.9697265625, 18.8603515625], \
         [ 16.400390625, 20.5, 22.41015625, 23.2001953125, 26.6796875, 27.0498046875, 27.650390625, 27.51953125, 27.5703125, 25.8798828125, 22.4697265625, 20.0498046875], \
         [ 19.25, 19.41015625, 19.9501953125, 23.08984375, 25.0595703125, 26.650390625, 27.2099609375, 26.990234375, 27.23046875, 24.6796875, 22.58984375, 19.2998046875], \
         [ 20.7998046875, 19.0, 23.2001953125, 22.4697265625, 25.7001953125, 26.4599609375, 27.490234375, 27.509765625, 27.2900390625, 24.6396484375, 22.6904296875, 20.0703125], \
         [ 18.900390625, 17.8798828125, 22.7998046875, 26.23046875, 25.3095703125, 26.2099609375, 27.5703125, 27.3798828125, 26.6904296875, 24.16015625, 21.9599609375, 21.400390625], \
         [ 20.91015625, 19.6796875, 21.740234375, 23.9296875, 25.4599609375, 27.2099609375, 27.349609375, 27.5, 26.5703125, 24.669921875, 22.1298828125, 18.1796875], \
         [ 17.9599609375, 19.0498046875, 20.3095703125, 21.8203125, 24.580078125, 26.0595703125, 26.58984375, 26.8798828125, 26.0302734375, 24.33984375, 18.8896484375, 15.5498046875], \
         [ 19.6396484375, 19.259765625, 20.509765625, 23.4404296875, 23.25, 26.240234375, 26.3603515625, 26.849609375, 26.51953125, 25.9404296875, 23.740234375, 21.0400390625], \
         [ 19.6298828125, 17.0595703125, 22.8798828125, 24.490234375, 25.0595703125, 26.5498046875, 26.740234375, 28.0703125, 27.509765625, 26.3798828125, 21.5595703125, 20.8603515625], \
         [ 20.8798828125, 20.76953125, 23.330078125, 21.08984375, 22.91015625, 24.9501953125, 26.83984375, 26.6298828125, 25.5595703125, 23.580078125, 21.490234375, 19.5400390625], \
         [ 17.9501953125, 18.900390625, 16.58984375, 23.01953125, 22.9296875, 26.0595703125, 26.66015625, 26.5400390625, 25.990234375, 24.490234375, 21.1904296875, 20.009765625], \
         [ 18.4501953125, 18.490234375, 15.76953125, 20.16015625, 24.9697265625, 25.5498046875, 26.8798828125, 27.740234375, 26.5, 25.2197265625, 21.330078125, 17.5], \
         [ 21.0595703125, 17.990234375, 17.6201171875, 20.900390625, 23.98046875, 25.490234375, 26.3603515625, 26.3203125, 26.099609375, 24.1396484375, 21.4501953125, 18.8896484375], \
         [ 19.3095703125, 17.73046875, 21.599609375, 21.1904296875, 22.8701171875, 25.73046875, 26.490234375, 26.1904296875, 25.849609375, 24.51953125, 18.419921875, 16.75], \
         [ 16.2197265625, 20.599609375, 21.5, 22.58984375, 23.23046875, 26.3203125, 26.400390625, 26.7099609375, 26.0400390625, 26.0498046875, 21.490234375, 18.419921875], \
         [ 17.849609375, 18.919921875, 21.400390625, 21.3798828125, 24.0498046875, 25.48046875, 26.8603515625, 27.33984375, 26.2197265625, 25.759765625, 22.08984375, 18.8203125], \
         [ 19.080078125, 17.7197265625, 19.830078125, 23.9697265625, 23.759765625, 25.0703125, 26.7998046875, 26.5400390625, 26.16015625, 23.1796875, 21.6201171875, 20.1103515625], \
         [ 18.830078125, 20.01953125, 21.4404296875, 22.7998046875, 22.7998046875, 25.6796875, 27.080078125, 27.0595703125, 26.91015625, 25.6904296875, 23.5498046875, 20.400390625], \
         [ 18.0302734375, 20.1298828125, 21.33984375, 23.1796875, 24.23046875, 26.4697265625, 26.599609375, 26.6103515625, 26.0703125, 25.0703125, 22.01953125, 21.490234375], \
         [ 19.3203125, 20.3701171875, 21.9599609375, 23.7197265625, 24.830078125, 27.3798828125, 27.5595703125, 27.4296875, 26.3701171875, 23.5302734375, 19.4404296875, 20.2197265625], \
         [ 19.2802734375, 17.4404296875, 19.6201171875, 23.3603515625, 26.23046875, 27.2197265625, 28.16015625, 27.599609375, 26.1396484375, 25.51953125, 22.259765625, 20.9501953125], \
         [ 21.400390625, 18.98046875, 20.1298828125, 21.400390625, 23.6103515625, 26.23046875, 27.0595703125, 27.099609375, 27.3095703125, 25.6298828125, 21.6298828125, 19.509765625], \
         [ 18.16015625, 18.2099609375, 18.259765625, 22.66015625, 23.8896484375, 25.990234375, 26.91015625, 27.5498046875, 27.4697265625, 25.0, 21.2802734375, 20.6796875], \
         [ 18.150390625, 21.76953125, 20.91015625, 23.3095703125, 25.509765625, 27.5703125, 27.400390625, 27.5703125, 26.2197265625, 24.1103515625, 22.080078125, 19.150390625], \
         [ 17.490234375, 21.0498046875, 21.83984375, 23.1103515625, 23.7099609375, 26.33984375, 27.2197265625, 26.7802734375, 26.6298828125, 25.1904296875, 21.5302734375, 18.48046875], \
         [ 20.3603515625, 21.5302734375, 22.5703125, 23.599609375, 25.099609375, 25.7197265625, 26.1103515625, 26.9599609375, 26.76953125, 23.830078125, 23.7001953125, 19.6201171875], \
         [ 21.51953125, 20.2001953125, 20.080078125, 22.6201171875, 25.2998046875, 25.169921875, 27.48046875, 27.6103515625, 26.91015625, 24.01953125, 20.4404296875, 17.259765625], \
         [ 16.7001953125, 17.7197265625, 17.349609375, 21.5703125, 23.9599609375, 26.2099609375, 27.98046875, 27.8603515625, 27.150390625, 25.25, 22.419921875, 22.6298828125], \
         [ 21.2099609375, 22.26953125, 20.6298828125, 21.990234375, 24.0595703125, 26.7900390625, 27.98046875, 27.4296875, 27.080078125, 25.080078125, 20.66015625, 20.6904296875], \
         [ 19.51953125, 21.0703125, 20.2802734375, 23.2998046875, 25.4296875, 25.8603515625, 27.16015625, 27.169921875, 27.1298828125, 25.26953125, 20.0400390625, 19.259765625], \
         [ 19.2802734375, 18.41015625, 20.66015625, 22.5302734375, 24.4599609375, 26.33984375, 26.8095703125, 26.8896484375, 26.5400390625, 24.98046875, 21.76953125, 18.849609375], \
         [ 18.490234375, 18.6103515625, 21.5595703125, 23.51953125, 25.490234375, 26.25, 26.900390625, 27.349609375, 26.51953125, 25.01953125, 20.9404296875, 15.6298828125], \
         [ 19.48046875, 19.73046875, 19.7099609375, 22.9501953125, 23.8701171875, 25.91015625, 27.3203125, 27.169921875, 26.58984375, 26.2802734375, 21.759765625, 20.51953125], \
         [ 22.8203125, 19.900390625, 20.4404296875, 22.6396484375, 24.0, 26.51953125, 27.0, 27.2998046875, 26.1904296875, 24.2099609375, 20.8095703125, 18.1796875], \
         [ 18.669921875, 19.919921875, 21.9296875, 22.6904296875, 24.759765625, 26.099609375, 26.6396484375, 27.33984375, 26.8701171875, 23.8095703125, 22.5498046875, 18.9404296875], \
         [ 19.48046875, 22.0595703125, 21.919921875, 23.75, 24.669921875, 26.599609375, 27.0302734375, 27.2001953125, 26.990234375, 25.6904296875, 20.4501953125, 18.51953125], \
         [ 15.5595703125, 17.2001953125, 19.4296875, 21.509765625, 23.490234375, 26.7001953125, 27.5703125, 27.330078125, 26.1396484375, 23.48046875, 21.240234375, 21.4501953125], \
         [ 18.3896484375, 17.3896484375, 18.58984375, 22.2900390625, 23.3701171875, 26.6796875, 27.0498046875, 28.099609375, 26.9501953125, 25.9404296875, 22.51953125, 21.7197265625], \
         [ 18.0302734375, 17.2197265625, 20.1796875, 22.0, 24.3095703125, 26.6396484375, 27.8095703125, 27.349609375, 26.8095703125, 24.7197265625, 21.759765625, 20.419921875], \
         [ 19.830078125, 17.6298828125, 20.8203125, 22.1103515625, 25.1396484375, 26.6298828125, 27.080078125, 27.5703125, 26.7998046875, 23.7900390625, 21.25, 18.7802734375], \
         [ 17.8798828125, 21.0498046875, 22.4501953125, 24.169921875, 23.91015625, 27.2802734375, 27.7001953125, 27.48046875, 27.330078125, 23.849609375, 20.3896484375, 17.76953125], \
         [ 18.2998046875, 20.48046875, 22.33984375, 24.5498046875, 24.3603515625, 27.1396484375, 27.2099609375, 27.4296875, 26.7900390625, 25.1904296875, 20.849609375, 19.16015625], \
         [ 19.9599609375, 20.75, 21.740234375, 23.23046875, 25.580078125, 26.4697265625, 27.1396484375, 27.5498046875, 26.900390625, 25.0498046875, 23.6904296875, 21.599609375], \
         [ 21.9296875, 17.08984375, 19.490234375, 24.98046875, 25.0595703125, 26.6298828125, 26.830078125, 27.2998046875, 26.9296875, 25.0302734375, 24.009765625, 20.7197265625], \
         [ 19.0302734375, 21.6298828125, 22.990234375, 24.2099609375, 25.2197265625, 27.330078125, 27.580078125, 27.669921875, 27.16015625, 24.900390625, 24.76953125, 22.6103515625], \
         [ 21.150390625, 22.8701171875, 21.259765625, 23.91015625, 24.759765625, 26.73046875, 27.6103515625, 27.5, 27.26953125, 25.6396484375, 20.2998046875, 21.2802734375], \
         [ 21.580078125, 20.509765625, 21.73046875, 20.9501953125, 25.08984375, 27.3095703125, 27.1298828125, 27.6103515625, 27.1298828125, 25.830078125, 20.509765625, 18.0400390625], \
         [ 17.8095703125, 18.0498046875, 20.76953125, 22.98046875, 24.900390625, 27.3095703125, 27.66015625, 28.3603515625, 27.8798828125, 25.259765625, 21.490234375, 21.9404296875], \
         [ 19.7998046875, 19.330078125, 22.5703125, 21.8701171875, 25.1796875, 27.419921875, 27.6298828125, 28.0498046875, 27.599609375, 25.330078125, 22.2802734375, 18.7802734375], \
         [ 18.6904296875, 20.6796875, 22.48046875, 23.51953125, 25.9599609375, 26.580078125, 27.580078125, 27.7802734375, 27.25, 23.9404296875, 22.0498046875, 20.8896484375], \
         [ 20.2900390625, 19.169921875, 20.26953125, 24.0703125, 25.26953125, 26.58984375, 27.490234375, 28.259765625, 26.9697265625, 24.75, 21.08984375, 17.91015625], \
         [ 18.08984375, 19.6103515625, 21.5400390625, 23.2001953125, 24.7802734375, 26.400390625, 26.91015625, 28.25, 27.2099609375, 23.9404296875, 21.8203125, 20.240234375], \
         [ 16.400390625, 21.1396484375, 20.3203125, 22.3896484375, 25.7001953125, 26.3603515625, 27.7099609375, 28.2802734375, 26.5, 25.0400390625, 20.2900390625, 19.8701171875], \
         [ 20.080078125, 21.75, 20.7900390625, 24.1298828125, 25.33984375, 27.16015625, 27.849609375, 27.8203125, 27.1201171875, 24.26953125, 23.0595703125, 18.2001953125], \
         [ 16.169921875, 15.169921875, 20.4697265625, 23.259765625, 24.48046875, 27.1796875, 27.75, 28.259765625, 27.6201171875, 24.650390625, 24.0400390625, 20.240234375], \
         [ 18.7802734375, 23.2900390625, 21.4404296875, 23.490234375, 24.98046875, 26.9404296875, 27.23046875, 27.169921875, 26.8203125, 26.33984375, 23.0302734375, 19.099609375], \
         [ 18.599609375, 19.25, 19.26953125, 22.8798828125, 24.1396484375, 26.6396484375, 27.9296875, 27.5703125, 27.0595703125, 26.0302734375, 23.1796875, 18.330078125], \
         [ 17.75, 20.400390625, 22.16015625, 22.7802734375, 24.73046875, 26.7998046875, 27.8203125, 27.7998046875, 27.0498046875, 24.4404296875, 22.1396484375, 19.7197265625], \
         [ 19.33984375, 21.01953125, 20.7099609375, 22.48046875, 24.1904296875, 26.669921875, 28.4296875, 28.1396484375, 27.2099609375, 25.2900390625, 19.9501953125, 17.0400390625], \
         [ 19.150390625, 18.7001953125, 22.3203125, 22.58984375, 24.3701171875, 27.1103515625, 27.990234375, 28.080078125, 27.48046875, 24.48046875, 21.3203125, 16.7001953125], \
         [ 18.8203125, 17.9599609375, 22.6396484375, 24.0, 24.8896484375, 26.73046875, 27.8095703125, 28.0498046875, 27.259765625, 24.3701171875, 23.1103515625, 21.5302734375], \
         [ 18.990234375, 21.0595703125, 22.0498046875, 23.919921875, 24.0703125, 26.580078125, 27.0703125, 27.650390625, 27.0400390625, 24.9501953125, 22.6298828125, 19.669921875], \
         [ 18.349609375, 19.6796875, 20.4697265625, 22.5302734375, 25.2197265625, 25.8896484375, 27.76953125, 28.0703125, 27.6103515625, 25.5498046875, 20.990234375, 18.58984375], \
         [ 20.6904296875, 19.7099609375, 21.7900390625, 23.0498046875, 25.2998046875, 26.3896484375, 27.76953125, 27.349609375, 26.91015625, 24.7998046875, 21.9697265625, 21.3798828125], \
         [ 18.8701171875, 16.919921875, 18.9296875, 23.669921875, 25.0498046875, 26.599609375, 27.5595703125, 28.01953125, 27.240234375, 24.9296875, 21.0498046875, 18.75], \
         [ 19.1298828125, 18.0, 19.16015625, 24.3095703125, 25.5, 27.400390625, 28.509765625, 28.2099609375, 27.25, 25.9697265625, 20.76953125, 18.169921875], \
         [ 17.41015625, 17.650390625, 21.23046875, 24.83984375, 24.5, 26.75, 27.66015625, 28.25, 27.150390625, 25.75, 20.48046875, 20.2900390625], \
         [ 19.150390625, 20.330078125, 20.3095703125, 22.33984375, 25.41015625, 26.6396484375, 27.4697265625, 27.3701171875, 27.08984375, 25.8798828125, 22.76953125, 22.669921875], \
         [ 22.259765625, 20.3701171875, 22.2998046875, 23.6904296875, 25.23046875, 26.5400390625, 27.400390625, 28.0595703125, 27.240234375, 25.669921875, 23.2099609375, 21.259765625], \
         [ 20.3798828125, 17.419921875, 22.4404296875, 23.4697265625, 25.5302734375, 27.080078125, 27.7802734375, 27.509765625, 27.2900390625, 25.1796875, 23.7001953125, 18.5703125], \
         [ 22.8798828125, 19.4697265625, 22.9404296875, 23.3701171875, 25.349609375, 27.009765625, 27.490234375, 27.8798828125, 28.1103515625, 24.740234375, 21.8203125, 19.9599609375], \
         [ 21.9697265625, 22.48046875, 22.5595703125, 24.4296875, 26.1103515625, 27.41015625, 27.33984375, 27.8798828125, 27.5498046875, 26.0, 22.0703125, 19.6103515625], \
         [ 17.5400390625, 19.4697265625, 23.099609375, 22.5, 25.7099609375, 26.0, 27.7001953125, 27.7099609375, 27.169921875, 24.669921875, 21.9501953125, 19.740234375], \
         [ 15.76953125, 18.3603515625, 23.0400390625, 23.16015625, 24.2001953125, 27.330078125, 28.0703125, 28.0302734375, 27.6103515625, 24.1904296875, 22.3896484375, 19.7802734375], \
         [ 16.8798828125, 16.6103515625, 20.16015625, 23.1298828125, 25.849609375, 27.6103515625, 28.16015625, 27.7998046875, 27.25, 25.6103515625, 23.7197265625, 22.490234375], \
         [ 18.3203125, 18.8203125, 20.509765625, 24.41015625, 25.419921875, 27.349609375, 28.3701171875, 28.1103515625, 27.7001953125, 25.4296875, 23.4296875, 20.419921875], \
         [ 19.2998046875, 17.25, 22.0498046875, 23.7802734375, 25.580078125, 27.2099609375, 28.0400390625, 28.349609375, 27.4404296875, 25.9697265625, 22.5302734375, 18.51953125], \
         [ 14.4599609375, 19.7998046875, 19.7900390625, 23.7998046875, 25.400390625, 27.6904296875, 28.0595703125, 27.76953125, 26.4599609375, 25.740234375, 21.080078125, 18.990234375], \
         [ 19.26953125, 22.5, 23.3701171875, 24.580078125, 24.25, 27.33984375, 28.3095703125, 28.0302734375, 27.5703125, 25.23046875, 23.3701171875, 21.6298828125], \
         [ 19.1396484375, 19.509765625, 20.0595703125, 22.080078125, 25.1103515625, 27.3896484375, 28.3603515625, 28.3603515625, 27.5302734375, 25.8701171875, 22.6904296875, 21.490234375], \
         [ 19.099609375, 20.3603515625, 21.4404296875, 23.490234375, 25.5400390625, 26.4599609375, 27.6201171875, 27.7900390625, 26.7802734375, 25.3896484375, 22.0400390625, 21.330078125], \
         [ 16.8798828125, 20.0, 22.349609375, 23.330078125, 25.5400390625, 27.9404296875, 27.419921875, 28.1201171875, 27.0703125, 26.6298828125, 24.0498046875, 19.4296875], \
         [ 18.51953125, 20.5400390625, 20.6904296875, 21.7197265625, 25.1904296875, 27.01953125, 28.009765625, 27.9296875, 27.8203125, 26.2197265625, 25.740234375, 22.7998046875], \
         [ 19.009765625, 21.5400390625, 21.5302734375, 20.6298828125, 25.2900390625, 27.9501953125, 28.5703125, 28.91015625, 28.0400390625, 24.599609375, 23.4404296875, 20.4296875], \
         [ 19.1904296875, 19.2998046875, 20.83984375, 23.4697265625, 24.4501953125, 27.0302734375, 27.9501953125, 27.990234375, 28.0, 25.2802734375, 24.0498046875, 20.6103515625], \
         [ 21.8095703125, 20.990234375, 22.1103515625, 24.2197265625, 26.3095703125, 27.25, 27.75, 28.3095703125, 28.330078125, 25.2802734375, 23.830078125, 18.599609375], \
         [ 22.400390625, 22.849609375, 22.8798828125, 23.669921875, 26.2197265625, 27.6396484375, 28.150390625, 28.2900390625, 27.919921875, 26.150390625, 23.1904296875, 22.4296875], \
         [ 22.4697265625, 21.1396484375, 22.8798828125, 25.4404296875, 26.599609375, 27.919921875, 28.4296875, 28.3603515625, 27.4501953125, 25.4501953125, 22.2802734375, 21.8896484375], \
         [ 19.419921875, 21.0595703125, 21.740234375, 23.0302734375, 24.0703125, 27.0498046875, 28.3798828125, 28.3603515625, 27.7900390625, 25.3701171875, 24.6298828125, 20.9501953125], \
         [ 22.26953125, 19.8701171875, 21.1103515625, 22.2900390625, 25.0, 27.740234375, 28.6396484375, 28.4599609375, 27.740234375, 26.650390625, 23.66015625, 19.509765625], \
         [ 20.1298828125, 22.41015625, 22.349609375, 25.0703125, 26.3603515625, 28.6103515625, 28.1298828125, 27.8203125, 27.330078125, 25.76953125, 24.41015625, 22.0595703125], \
         [ 19.2001953125, 18.8896484375, 21.8603515625, 24.2802734375, 27.349609375, 27.48046875, 28.41015625, 28.580078125, 28.080078125, 26.759765625, 22.4501953125, 19.3095703125], \
         [ 19.3095703125, 18.5302734375, 20.1201171875, 23.3203125, 26.3603515625, 26.9697265625, 28.5595703125, 27.73046875, 27.76953125, 25.4296875, 22.76953125, 20.3798828125], \
         [ 19.6201171875, 22.919921875, 23.6201171875, 24.1201171875, 26.0400390625, 27.580078125, 28.3798828125, 28.6103515625, 27.330078125, 25.2197265625, 22.919921875, 20.6796875], \
         [ 20.8603515625, 20.650390625, 20.7001953125, 23.650390625, 26.26953125, 29.0400390625, 28.900390625, 28.9501953125, 28.1103515625, 26.4501953125, 24.25, 22.3203125], \
         [ 20.7001953125, 20.33984375, 20.2001953125, 24.3095703125, 25.2197265625, 26.830078125, 28.23046875, 28.490234375, 27.5302734375, 25.8095703125, 22.8203125, 21.0595703125], \
         [ 19.9599609375, 20.3701171875, 22.900390625, 23.259765625, 25.76953125, 27.1396484375, 28.23046875, 28.1396484375, 28.330078125, 25.0400390625, 22.48046875, 20.16015625], \
         [ 16.4697265625, 23.0302734375, 22.349609375, 23.5400390625, 24.76953125, 27.5595703125, 27.66015625, 28.4296875, 27.349609375, 26.009765625, 23.16015625, 22.6201171875], \
         [ 20.5703125, 20.9404296875, 23.2802734375, 24.9501953125, 26.3603515625, 26.6796875, 27.990234375, 28.330078125, 28.080078125, 26.73046875, 22.259765625, 20.650390625], \
         [ 16.48046875, 21.919921875, 25.26953125, 23.2802734375, 26.9599609375, 27.650390625, 28.400390625, 27.990234375, 27.91015625, 26.66015625, 24.0703125, 19.01953125], \
         [ 19.0703125, 21.1298828125, 22.1796875, 22.4296875, 25.4296875, 28.01953125, 27.75, 28.349609375, 27.830078125, 25.83984375, 23.41015625, 20.08984375], \
         [ 19.6396484375, 20.080078125, 21.400390625, 22.400390625, 25.2197265625, 27.41015625, 29.1904296875, 29.2900390625, 28.1103515625, 25.9501953125, 23.6103515625, 20.3095703125], \
         [ 19.990234375, 19.2900390625, 21.5595703125, 23.8701171875, 25.3603515625, 27.5703125, 27.83984375, 28.51953125, 28.08984375, 25.7900390625, 21.76953125, 23.01953125], \
         [ 21.9296875, 20.01953125, 22.3701171875, 23.169921875, 25.16015625, 27.08984375, 29.009765625, 28.990234375, 27.919921875, 27.150390625, 23.0595703125, 22.76953125], \
         [ 20.169921875, 22.7900390625, 22.509765625, 23.4501953125, 26.169921875, 27.8203125, 28.009765625, 28.48046875, 27.7900390625, 25.1904296875, 21.169921875, 21.240234375], \
         [ 19.009765625, 18.8896484375, 21.240234375, 24.0, 26.0595703125, 27.7001953125, 28.5703125, 28.8701171875, 28.26953125, 27.009765625, 23.509765625, 21.8203125], \
         [ 16.400390625, 17.23046875, 18.759765625, 22.9697265625, 27.1103515625, 29.3701171875, 28.8203125, 29.0703125, 28.1201171875, 25.73046875, 22.4296875, 16.009765625], \
         [ 18.8603515625, 21.2001953125, 22.240234375, 25.6796875, 26.3603515625, 27.7998046875, 28.5498046875, 28.7099609375, 28.2001953125, 25.2099609375, 23.5, 21.8095703125], \
         [ 19.83984375, 22.5302734375, 23.740234375, 23.650390625, 25.8095703125, 27.4501953125, 27.9501953125, 28.3701171875, 27.580078125, 25.8701171875, 21.169921875, 21.8896484375], \
         [ 22.7900390625, 22.009765625, 19.58984375, 25.33984375, 25.5400390625, 28.0498046875, 27.990234375, 28.5703125, 28.1396484375, 26.5, 24.830078125, 23.849609375], \
         [ 19.75, 23.3798828125, 22.51953125, 24.6796875, 26.25, 27.4404296875, 28.6796875, 29.240234375, 27.8701171875, 25.9296875, 22.240234375, 21.1904296875], \
         [ 21.419921875, 19.599609375, 24.41015625, 26.2001953125, 26.4599609375, 28.150390625, 28.9296875, 29.150390625, 28.75, 27.169921875, 26.3203125, 25.6103515625], \
         [ 19.7998046875, 19.900390625, 24.2900390625, 24.4599609375, 26.5, 28.650390625, 29.3203125, 29.01953125, 28.6396484375, 26.580078125, 23.169921875, 24.2998046875], \
         [ 21.0595703125, 22.3798828125, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN] ])

    # array of PET values corresponding to the above monthly temperature observations, latitude, and initial year
    fixture_pet_mm = np.array(
        [ [ 51.4528292999, 24.9829418803, 70.9155712234, 85.5725510116, 139.11249103, 162.079128774, 178.994770539, 173.714448362, 147.425865169, 105.695535216, 72.7273694435, 41.51324644], \
          [ 33.8624496097, 38.5963817846, 65.1792535189, 95.0039859854, 135.629503137, 163.895561956, 174.485214783, 181.627995811, 144.732450102, 103.216327333, 97.3804913621, 42.9852233553], \
          [ 33.6286320526, 63.8386136504, 101.980473002, 95.9194583316, 116.401839971, 173.671840464, 179.738861669, 172.246016323, 134.832986723, 103.050418749, 76.5531674092, 51.3909530417], \
          [ 52.4615447677, 37.5388604277, 89.6752351962, 86.1375093985, 132.029693444, 174.033620268, 177.272631644, 163.262379722, 154.90565313, 105.832059515, 80.4995555538, 44.651761014], \
          [ 57.5390026213, 51.4452188881, 81.1625856057, 82.5467705689, 153.887904379, 164.57864324, 169.273200162, 181.180762443, 140.188690849, 113.912185395, 67.1040612061, 49.5704611423], \
          [ 37.3713736728, 45.202388092, 64.950366884, 93.1336555934, 127.423074217, 162.442068181, 183.018291067, 173.355534636, 154.566937953, 132.595235591, 64.8470940775, 45.0693419891], \
          [ 42.0485598163, 35.6601020942, 57.1535851395, 67.9130814395, 123.835520487, 161.027915456, 180.130326277, 160.28137582, 149.513241923, 113.378575822, 42.561840339, 41.6434556731], \
          [ 31.8018646763, 29.6625979496, 74.4327857954, 85.3406345321, 143.656189803, 164.386815962, 177.088109981, 173.158341086, 144.246338091, 127.628607856, 87.8180560453, 53.1784406741], \
          [ 47.2463577638, 64.0949545533, 93.4173480307, 77.9911465815, 114.559682854, 150.351295182, 171.846271897, 177.421658125, 135.748094763, 94.6728993726, 59.2117281452, 29.7703242453], \
          [ 40.119847703, 57.7727616586, 82.8690237742, 93.4363508658, 126.825868375, 146.873274983, 162.253283837, 157.925677162, 141.289974103, 113.677871672, 52.7359539151, 44.8548192921], \
          [ 30.2006112752, 55.248945879, 84.569905375, 96.4089748772, 157.856107953, 162.788223576, 177.47575214, 167.889977382, 154.083908492, 123.926843497, 74.7676262765, 53.7241258575], \
          [ 48.4240705511, 47.0333304782, 60.0338909015, 95.0637986688, 131.244359419, 155.805722745, 169.273200162, 158.550727968, 148.553466419, 107.743084823, 75.9516668481, 48.0147158527], \
          [ 60.8367827333, 44.1642209046, 93.6611295801, 87.7347375235, 141.380196366, 152.547526511, 174.463316106, 167.71445954, 149.513241923, 107.228762863, 76.952657537, 53.8862316229], \
          [ 45.8778344986, 38.2812758141, 89.1653465249, 138.690738869, 135.306146218, 148.3670888, 175.803248596, 165.109014286, 139.747376242, 100.986810271, 69.7750989894, 65.0907692733], \
          [ 61.7929064171, 48.9842098201, 77.3342307388, 105.618912798, 137.520826539, 165.645097197, 171.846271897, 167.53906297, 138.188463518, 107.617490499, 71.4838657397, 40.257776388], \
          [ 39.4712051561, 44.5062653197, 63.2771180523, 80.4702830986, 123.980628087, 145.844466588, 158.154643026, 156.647907741, 130.073909821, 103.429077638, 44.8314608088, 25.4014559424], \
          [ 51.3699803165, 45.9674590742, 65.132989768, 99.3807691771, 105.233062752, 148.844386566, 154.165614629, 156.128545668, 137.411576738, 124.783232534, 87.924602513, 61.9255633256], \
          [ 51.2947395838, 33.3331731837, 90.0914307128, 113.288735541, 131.405136946, 154.108358285, 160.657293107, 177.682675484, 152.771497631, 130.846697342, 66.092049728, 60.3680182803], \
          [ 61.5296261297, 57.4172149078, 95.2148456702, 72.7873181907, 100.76416289, 128.295212557, 162.577088421, 152.39303835, 123.263440772, 94.2007296217, 65.5644793221, 49.7974873834], \
          [ 39.407988334, 43.4853515897, 34.8596851444, 94.2131972866, 101.017533367, 145.844466588, 159.390316557, 150.882805115, 129.485157826, 105.323787737, 62.9053405142, 53.4085628846], \
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          [ 47.1040426962, 62.6243291464, 82.2059214204, 87.437685493, 137.207357441, 180.628301396, 179.201402777, 182.943466768, 158.073378109, 123.108907147, 84.2457783108, 54.0302770296], \
          [ 51.3699803165, 51.979792929, 73.8255203544, 86.9392847781, 133.731713424, 169.262516777, 208.214168446, 201.756578014, 163.1492085, 124.921724888, 86.514504363, 55.8014011069], \
          [ 54.1196592597, 46.1807209198, 75.4555699814, 104.845931258, 135.941240689, 172.193738145, 181.083370218, 186.512537202, 162.798685051, 122.663242828, 68.1075809582, 80.7145967546], \
          [ 71.0999624471, 51.519247042, 84.1253900145, 96.0387008309, 132.80293445, 163.49936495, 204.43923264, 195.73100303, 159.91347024, 142.726505675, 80.7008288687, 78.1584669913], \
          [ 55.5658885136, 78.2614221658, 85.8637891796, 99.6885353658, 149.314429696, 176.869642312, 184.190236849, 185.44330699, 157.404098928, 114.212036803, 62.6334149269, 63.665618049], \
          [ 46.664666465, 43.4125548141, 72.2091232539, 106.5361178, 147.286088743, 174.59536238, 195.446352763, 193.350616199, 165.886907599, 140.558867405, 85.4327996059, 68.9407284552], \
          [ 30.2006112752, 33.1092323883, 50.0785869788, 93.613740441, 165.484144585, 207.469907403, 200.529517659, 197.328634619, 163.316299532, 121.8301318, 74.3756736112, 27.68014561], \
          [ 45.5920046527, 60.9971681828, 82.6940565792, 130.039939724, 152.35253084, 176.452127859, 195.033194989, 190.206629083, 164.690712521, 114.709158884, 85.3282582141, 68.8407544707], \
          [ 52.9285253618, 75.6616017206, 100.444984006, 102.21750928, 143.336128369, 170.024531993, 183.038177045, 183.333752348, 153.925098769, 123.534450786, 62.6334149269, 69.5746209782], \
          [ 79.6383623319, 68.1199865182, 56.8940843928, 125.033305046, 138.799445844, 181.169596286, 183.981393733, 187.492950423, 163.650820697, 132.883659743, 100.359273778, 89.5966646726], \
          [ 52.225273561, 81.3891625057, 85.7920942787, 115.675107919, 150.480584974, 169.81404206, 197.659629399, 200.747217356, 159.07425344, 124.631008148, 72.5394707173, 63.239123897], \
          [ 66.3386377157, 48.3991264583, 108.79954311, 137.962068112, 154.055406098, 183.090897618, 202.780586213, 198.934857988, 174.334075877, 143.029301744, 119.167014699, 110.52402415], \
          [ 52.6143519467, 52.4825827444, 107.456179572, 112.876523845, 154.932986939, 192.878063161, 210.762057473, 195.979100346, 172.012143603, 133.794753501, 81.723342221, 94.6544035536], \
          [ 63.1032276015, 71.5514172987, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ]])

    # array of expected SPI/gamma values at 1-month scale corresponding to the fixture precipitation values when using full period (1895 - 2017) as calibration period 
    fixture_spi_1_month_gamma = np.array(
        [ 0.0269261754002, 1.05366328957, -0.386771122501, 1.15292908542, 0.948669169317, -0.261359890122, -0.16313698954, 0.120043228605, -0.558579836538, 0.0249385877211, 0.882960392342, -0.0726065029932, \
          0.686689443201, 0.471519124487, -0.365621048157, -1.31792288211, -0.276262375403, 1.32216128873, -0.238764343306, -0.73869273686, -0.439063535113, -0.757026195635, 0.825134507555, -0.165031994217, \
          -0.549376012951, 0.992105041397, -0.481433409888, 0.590528745842, -0.974828423395, -0.157748001472, 1.41615142933, 0.315091880082, 1.52442621083, 0.133232227899, -0.214733478769, 0.292531245547, \
          -1.30965336576, -0.668014642533, -1.29101682922, -1.10814015156, -1.49258432694, -0.644485380649, 0.623388545576, 1.88463123265, 0.563228433266, 1.17694300031, 0.406083048095, 0.680038880635, \
          1.21981090449, 2.02110165532, -0.453244132455, 0.79416522272, -1.5715449132, 0.357216136773, 0.249020553558, -0.215372575338, 0.467735900951, 0.703965427531, -1.17394876632, -0.0815210247926, \
          0.779583412559, 0.962991924112, 1.92641227112, 0.810176563939, 0.854723089657, 0.348663176681, 0.316836609799, -0.472570243475, -0.684122641352, -0.0757475701474, -0.197331165839, 1.36687821089, \
          0.220715552014, 0.33913307035, 0.720258931922, -0.18679236364, 0.270430856024, 1.09564659238, 0.053192739404, 1.60792212895, -0.159578574323, -1.75898090542, -0.724246172148, 0.874798141674, \
          -0.724377508678, 1.50479813897, -0.279014498608, -0.547199241798, -1.02922163287, -0.0965550729184, -0.900597043975, -1.1395452721, 0.406042187467, 1.40957027203, 0.0306941277161, 0.696050039812, \
          1.46220588119, 1.39057288121, 1.94890072426, -2.61833874033, -0.859358027562, -0.079248218541, 0.203872500157, -0.342928358057, 0.576527603757, -1.65071890706, 0.964576945243, -0.061829274262, \
          0.922155046994, 0.216945529588, 0.095600130074, -0.380898305859, -0.00237626490131, 0.783628281204, -0.806786224919, -0.647971771965, -1.15788440918, 1.45764457664, 0.740594900783, -0.582570760702, \
          -1.19801496565, -1.16058749697, 0.202658447403, 0.534301125638, 0.618629698525, -0.757768994637, 1.30943929872, 0.783971634798, -0.324018641181, -0.656607002961, -1.36813155987, 2.17582330317, \
          1.00470915932, 0.351674839268, 0.395379155915, -0.767101897699, 0.943489537793, 0.819639917784, 0.376012987679, 0.955614879091, -1.96925952064, -0.405135716163, -0.535421783543, -2.2717096157, \
          -0.782111968159, -0.978715258548, -1.8337549426, -0.59033924888, 1.12871002273, -0.107863802339, -0.533293944603, -0.371574239689, -0.017410697853, -1.41209688174, -0.0793876538534, 0.942840555305, \
          0.212474248023, -0.442767128471, -1.18842498424, -0.311586577777, -0.116574675434, -0.0879412327075, -0.496683314945, 0.87793332217, 1.70870569575, 0.0868003490204, 0.0885600445375, -0.986386175583, \
          0.0645310727971, -0.945670373912, -0.391051099161, 0.630415026875, 0.699017461394, 0.30705419905, 0.376386365573, 1.36481145754, -1.10115132769, -0.274432127005, -0.822195227527, 0.241254492439, \
          -0.378055822026, -0.0973113426151, -0.639651776238, -1.29502427889, 0.245944884819, 0.162919348582, -0.971086113087, 0.0609595008795, -0.0874782069591, 1.61718897266, -1.03079468624, -1.26308767711, \
          -1.33763450608, -3.09, -1.15847802944, 0.412628116534, 0.970449114088, -0.627829643166, 0.900308495019, 0.00937956207142, -0.522635491642, -0.339390670332, 2.36752058488, 0.419239762828, \
          1.40834381184, 0.709244198269, 0.685192009231, 0.825396011197, 0.900442001032, -0.0339490414947, -0.827735264209, -1.05257527698, 0.17047819751, 0.716560495274, 2.52728867815, -0.494281685058, \
          0.389351111137, 0.382972411314, 0.265582163192, 0.720509483418, 0.652080993352, -0.098877769701, -1.76963346302, -0.589755068874, -0.72617510169, -1.5372824136, 2.04288833639, -0.704351684848, \
          0.194736035248, 0.0150543941794, -0.601143551496, 1.62450521877, 0.32433431153, -0.797613839203, 1.68072961121, -1.26643095271, 0.285939838501, 0.372645610436, 1.13528761718, 1.4155460313, \
          0.851323744974, 0.893624442054, -0.0763862219011, -0.379008780789, 0.349876114499, 1.03183210193, 0.703415750323, -1.4418728585, -0.0418770814661, -0.128207122627, 0.407294414105, -0.309760641549, \
          -0.499968088557, 0.0645394057214, -1.54141583351, 0.656831616694, 0.18606014505, 0.700984606317, 0.910249754407, -1.22719109284, -1.53143284492, 1.25108087597, 0.591856417213, -1.09464621646, \
          -0.800509367504, -1.2217432429, 0.964204122048, 0.223821093183, -0.631063282972, -0.180945396437, 0.0824167101648, -0.18135891219, 1.13070602918, -0.0397081650492, -1.85235421939, -0.930102169469, \
          0.178246304336, -1.19770069581, 0.488015143209, 1.02616923709, -0.38407124308, 0.204103971335, -0.439062168591, -1.08870297623, -0.521052632262, 0.211417321079, -0.637807825029, 0.32983249193, \
          -0.0155895008891, 0.670318618675, 0.964391724422, 0.0865529326588, 0.597103037327, 0.56516470837, -1.32983078018, 0.809943606557, -1.49326594468, -1.32551108862, 0.00798840136034, -0.535900518238, \
          -0.198920786015, 0.274574854235, -0.965068713993, 0.835527264137, 1.78464313361, -1.47508948893, 1.34625349877, -2.33204576761, 0.792438692189, -0.292918612665, 1.03034823364, 0.356449101727, \
          -1.92684539491, 0.532240511863, 1.29784518673, -1.34565670464, -0.0535850913494, -1.9019851081, -0.785248589593, -1.02801629651, -2.99462693792, 1.9883596491, -1.23151030429, -0.638140749679, \
          -0.740365139628, -0.712388535356, -2.71465783728, 0.257705677653, 1.0185698995, 0.296817135205, 0.0806716980798, 0.81509329347, 1.36948735413, 2.54970248802, 0.708407595686, 0.0396893782006, \
          -2.03575060591, -0.586208770991, -1.08249731587, 0.96685770759, 0.615437658819, 0.218721777492, 0.149312115792, 0.0611209400656, -0.356194016672, -0.521987691417, -1.69822573946, -1.66805845961, \
          1.34671082819, 0.469537221748, -1.28334414937, 0.911812337672, -0.123145189016, -1.38025120366, 0.498209076107, -0.0397964988673, -0.808376361911, 0.736443329863, -1.5256161451, -0.798523922275, \
          1.62517401647, -0.198706056383, 0.994369608231, 0.174234733109, 1.19209970464, -0.201822126876, -0.928730174387, 1.1179518446, -2.55201985862, -2.64705183088, 0.707701905858, 1.75422237759, \
          1.97383061923, -1.66135814931, -2.08423999675, 0.256436586537, -0.498826906222, 0.463911952451, 1.44974156264, 1.84932202667, 1.58726581454, -0.119945074327, 0.038624771703, -1.90261678465, \
          -0.358697512615, 0.845544975722, -0.398045705372, 0.191163087231, -2.1948298153, -1.04134990683, 0.142412753962, -0.857866937932, -0.384980489436, 0.546232803878, -0.475579285684, -0.925910889467, \
          -0.934166298112, 0.361085783222, 0.190284710485, -0.785241043809, 0.0469906754762, -0.368778027052, 0.332855008704, 1.48522629533, 0.929028252907, -0.489428652675, -0.54924077287, 0.470624981873, \
          -0.306282085035, -0.11168924199, 0.286997718812, -0.0691822788934, 0.406757336628, -0.234382277313, -0.221225903551, -0.0858079001035, 0.95091582166, 1.37303009645, -0.275482302591, 0.641322447021, \
          0.798705661707, 0.368555785268, 0.999866102048, 0.840509629361, 0.360850905501, 1.34855663441, -0.873382196596, -0.719436177487, -1.28010941789, 0.38128660635, -0.718620151995, -0.00902652098237, \
          1.89744269551, 0.128729656378, 1.27808536875, 1.39234199177, -0.540379107921, -1.95908198297, -1.57490262082, -1.51168392129, 0.52116016826, -0.0763585735087, -0.341419874487, -0.981204712936, \
          0.865472964468, -0.987594524258, -0.308572893661, -0.278912555559, 1.69955789464, 0.422262685796, -1.44186141787, 1.05969807406, -0.944930987525, 0.880618199532, 0.933965325364, -0.73059763821, \
          -0.0605520626397, -1.55755779775, 0.862552913272, 1.40287455664, 0.388183434832, -1.06516477376, 0.798175653549, 0.646397435936, -1.85774502215, 2.07315212049, -0.266265930172, -1.41289672169, \
          0.13504313094, -0.268083083198, 0.125905410003, 0.444713103562, 2.60107210682, -0.099656062619, -0.858503145707, -0.400416171946, 0.531076463525, -0.999808895775, -1.48314138268, -1.18832399565, \
          -1.47844135883, -1.13953923036, -1.4649979772, 1.01674378034, -0.328229241823, 0.345932309353, 0.351553710927, -0.727735899143, 1.75057391415, 0.00531638838298, 0.941935051272, -0.460201599712, \
          0.706886059624, 1.31055802541, 1.16743596155, -0.716998319029, 0.657283944996, 1.45517530935, 1.3890538268, 1.70125010158, -0.67947634617, 0.223312200954, 0.368911293256, -0.360263863113, \
          -0.458164425956, 0.827985065495, 1.06541587218, -0.638207822025, 0.396826251461, -0.195610823344, -0.0526297792067, 0.185372484345, 0.917547510629, -0.121311963815, -0.719798508625, -0.780258184844, \
          -0.211648436988, -0.598802482145, -0.926988423755, -1.28688807637, 0.129440027444, -0.699288879646, 0.18456004931, -2.66394192108, -1.1899405359, -0.511123725403, -0.117868314938, -0.580412811189, \
          0.350644879662, -0.309684185464, -0.20613135772, 0.135991632518, -0.00507828334183, -0.554910650298, 0.858655753467, -0.613058936332, -1.05318525468, 1.08271232927, -0.702229172888, 0.871713793342, \
          -0.0406278027435, 0.21821463442, 0.510945881185, -0.200765661465, -0.969018975173, -0.691371105344, 0.769423923287, 0.279611584026, 2.4874878632, -0.980077670572, -0.890888353462, 1.18328341501, \
          1.01310600961, 1.59094047726, 1.5196605, 1.80168036312, -1.90907951423, -0.222983703066, 1.27767180323, -1.89711429999, -0.326722185023, -0.15607554594, 1.16944891659, 0.823207616384, \
          0.0918962726601, 0.377650759711, 0.390392532767, 1.78446958953, -0.294201130503, 1.06418984997, -2.5683325862, -1.20273242142, -0.930750800924, -0.968727696093, 0.0292153090383, 1.6528692143, \
          -0.188724520127, -1.04069966352, -0.172256589053, -0.701857710528, -0.281264036917, -1.09500302818, 0.616988825933, -0.075879120754, -0.459300949014, 1.16783058116, 1.6392250146, -1.07293301905, \
          0.197804135697, -2.60072389212, -0.315605910431, -0.940778041186, 0.537322262314, -1.73455407923, 1.35612864813, -0.553436920721, -0.431006501071, 0.293257729937, -2.19097967023, -0.633650594539, \
          0.613560943495, -1.55755779775, -1.23967749789, -0.415185548047, -1.67922399452, -1.79528448284, -0.139377040083, 0.646397435936, 1.03212315473, 0.644446910665, -0.370542039469, -0.080725847459, \
          -0.517854129924, -0.350735368563, 0.650204865524, -0.295282696875, 0.705846550636, 0.0263843350764, 0.757340808244, -0.692042796417, -0.349221464194, -0.675589547234, 0.883294996612, 0.925722538183, \
          0.163317461276, 0.744754937832, 0.304521734967, 0.0839660303357, 0.0955920339188, 1.40756018409, 1.66804279647, 1.15962782654, -0.284066275041, 1.87420079895, 0.603916051073, 1.03191688968, \
          0.922155046994, -0.934111549147, 0.435526931923, 0.529624259652, -0.494518585438, -1.19150232997, 0.35996497966, 1.02166353905, 1.88866867868, 0.910123805276, -1.0267459877, -0.411537649605, \
          -1.7951982563, -1.11680815725, 0.201853926125, 0.739339919222, 0.328537503451, -0.0514918275526, 2.15372468561, 0.432221567487, 0.481592416569, 1.21786247128, 1.24361445084, 0.50275887664, \
          -0.81475912471, -0.134160230704, -0.234413858891, 0.101606793239, -0.28447896629, -2.63799054508, 0.901775437826, 0.258073057205, -0.967315535125, 1.23963464031, -0.532597992561, 0.778569456202, \
          -0.877053108651, 0.133554845244, -1.56815404505, 1.45863316248, -1.25533325077, -1.95961208859, 0.43858806557, 0.356441339448, -1.06398932165, 0.068937260569, -1.19851762851, -1.5113733474, \
          -1.08580145091, 0.669911307446, 0.841403159019, 0.0536008819141, -0.586395147172, -0.886288982117, 0.506897400425, -0.0904295989443, -1.37770083084, 1.44991767526, -1.17626875956, -1.05950021147, \
          1.57227220352, 0.445105015064, -0.399608611075, -0.0746607542087, -1.56168730766, 1.23559542262, 1.09867379585, 0.284634870162, 0.793349214926, 0.626941236011, -0.255953300696, -0.287121630999, \
          -0.296113539503, 0.894510996922, 1.0288448284, 1.50447274875, 0.971999898481, 0.383651749516, 0.393104300595, -0.18961173579, 0.242196958056, -0.814208396936, 0.367676416018, -0.970979932707, \
          -0.940254308329, -1.24220553448, -0.881134831091, 0.0962816071676, -0.353120812999, 1.206184579, 0.365261072599, -1.05055995241, -0.087905553695, -0.85758076246, -1.22664456541, 0.588423776038, \
          -0.905236140636, -0.383137832899, -3.09, -0.177837110078, -1.42506048631, -1.14676875321, -1.93261268875, -0.717009110109, 0.0871876657998, 0.139084128216, -1.48396917814, -0.809972150288, \
          -1.54636957368, 1.29942101093, 0.336031276133, 0.454803673326, 0.676513692697, -1.27718546873, 0.345884019094, 0.416900868081, -0.104028181469, 0.287203588898, -0.0275684049642, 1.34953201155, \
          2.3478834441, -0.0282921320133, 2.14961446912, -0.545985298494, 1.78142290407, 0.531551193156, 0.973904387407, -0.17697353442, -0.933988116905, -0.186833924918, -0.209284060743, 1.99840366135, \
          -0.39241279686, 0.350270367453, 1.36038369814, -0.703226618928, 1.22171034137, 0.895852268098, 1.36866516209, -0.0858079001035, 0.805844142753, 1.30974840978, 1.35192989463, 0.260854691563, \
          -1.4753455465, 0.465998947874, -1.00321751728, 1.55154685294, 1.46462428643, 0.193003194236, 0.737454438971, 0.476370452878, 2.19865120443, 0.414429857799, 0.382967100548, -1.29955267764, \
          0.714137272586, -0.0982229912579, -0.324522977529, -2.44325135307, 0.791470259854, -0.921670948465, -2.39390171105, -1.03419906865, -2.02289911528, -0.394847141156, -0.743343182005, -1.10354386205, \
          0.448504112086, -0.697106404862, 0.508119153323, 0.0323582947113, -1.72640902175, 0.934387317804, -0.232074540445, 0.53268902629, 0.173379141354, -1.06470627445, 0.809855823573, -0.706139141247, \
          -0.622288054152, 0.924384989288, -2.11319241881, -1.27203071413, 0.399704470735, -0.0731084106437, -2.05427157749, -0.0710906136472, 1.65440437773, -0.777310932802, 0.650552115854, 1.00737345881, \
          -1.15779172109, 0.388976931563, -0.384050211256, 0.883909133211, -0.465706934499, 1.25229712775, -0.460826171745, -0.672834438173, 0.0136464064881, 0.62053976508, 0.209211170274, 0.216563823654, \
          -0.429026011763, 0.980496331093, -0.472404876527, -0.724620762941, -1.50949020101, -0.511175141083, -1.46670176033, -1.84817819797, 1.07790192321, 1.39579454619, 0.018243295261, -0.77276885302, \
          1.22680728747, 0.0468078669111, 0.160471226822, 0.117120595704, 0.829798594877, 2.06198956796, 1.1971206828, -0.676227193074, 0.753261820956, -0.0299432331666, -1.25179256684, -0.46615762843, \
          0.483632552731, -0.0598120451203, 0.144112541853, -1.82474354361, -1.18935379173, 1.57054833584, -0.964315814971, -1.15666200251, 0.679895527458, 0.752680323317, -0.16420915429, 0.673016917657, \
          -0.00527041713947, 0.750296240994, -0.34663256534, -1.28463974645, 2.5340193551, 1.82512548347, 0.173535080241, -0.420900891921, 1.17979303399, 1.31900464403, -0.462432169022, -2.2422718512, \
          1.53667977888, 0.576538980108, 0.502223593582, 0.836869283815, 0.89706697953, 2.34290127866, -0.102575402903, 0.113353282183, 0.685954934821, 1.57435505706, -0.497081289628, -0.37232634519, \
          0.931819677323, 0.677442631999, 0.618909296849, -2.65280337261, 0.829281729071, 0.192100417099, 0.411209765439, -1.36695715104, -0.77761152643, 0.247477842371, -1.88592499686, -1.64003411848, \
          -0.78747604264, -0.38884615834, -1.89985777807, -2.16873676891, -0.551046742934, -0.118764130393, -1.71566790171, -0.267596619353, -0.47637340283, 0.431500783703, -0.136907894714, 1.23691639923, \
          -0.168868097139, 0.773066750859, 0.00985543817048, 1.18821249811, 0.725993859216, 0.754119805148, 0.709188299831, -0.751713326163, 0.473257721505, -0.410664592456, 0.874627588619, 0.113919831455, \
          0.56149502308, 0.666125100423, -0.040869046443, -0.508915375412, -1.135913609, 0.858445052112, -0.201917137882, 2.25703269616, -0.224016421824, -0.430166669574, -1.04266867449, 1.44322785193, \
          -0.120494741453, -1.75947798906, -1.54428801505, -0.409412970929, -0.203539957772, -0.0630456113218, 0.321804481071, -0.497814904763, -1.0112577782, -0.544616686378, -0.00412986368368, 0.0839145969093, \
          -1.11545355178, -0.235890240259, -1.14411995005, -1.16487525475, 0.728531446698, 0.497917828815, -0.11067158977, -0.278718954308, -0.1314849742, -0.114704430104, -0.666919084911, -0.0877440929554, \
          -0.52710084731, 0.93225410822, -1.14140174164, 0.679148880196, 1.02646690568, 0.58965019394, -1.49171678273, 1.82296499638, 0.0133778870016, -0.894948525481, 0.376163339265, 0.101774373203, \
          0.439258885973, 0.218985581669, -1.05952627293, -0.281166518539, 1.16764470955, -0.449596960557, -0.681305505089, -0.0849544699772, 0.892608281124, -0.989074429005, 1.03785557969, 0.922705900482, \
          0.487680459394, 1.22428838068, 0.773834714345, 0.830256453593, 0.436559502188, 0.352704191438, -0.924039158338, 0.3136935073, 0.042830503178, 0.576135444126, 0.0489684282299, 0.621175980643, \
          0.349621415196, -1.00888978878, -0.897704210029, 1.83470872569, 0.212576366944, -0.820788087837, 0.312584472905, -0.899912226755, 0.958590755873, 0.300248378344, -0.408969615044, 1.29704417442, \
          0.366920374999, 0.262962299725, -0.157721951657, 0.997139892111, -0.437307846698, 0.304563672792, 0.750934679208, 0.0149015225556, -0.27991342892, -0.174529923121, 2.09945318837, 0.039336662331, \
          -1.1269782552, 1.50905097596, 0.0851194526884, -2.03575439127, -0.759999593976, -0.54907550869, -0.394157851335, 3.02641440492, 1.60160810488, -1.23445022576, 0.116222422101, -0.73059763821, \
          -1.00195058859, -0.253111975194, 1.20362228392, 1.85594703843, 1.01723924543, 0.989443862668, -1.50761461791, -0.355934329764, -0.623899114428, -0.277235430034, 1.53156480327, -0.320986422103, \
          2.84597650712, 2.38221022928, 1.50380345121, 0.534133741728, -1.44932936823, 0.965463092494, -0.828937760993, 0.243539827532, -0.034624082118, -0.224532670037, 0.630367637643, 1.238948962, \
          -1.26916386809, 0.185559787818, 0.883318276203, -0.0234572970025, 0.610367630807, -0.663764207575, 0.651302413068, -0.142589367141, -0.050112885324, -1.45757396379, 0.0757981043016, -1.23975155205, \
          -1.53429002951, -1.05558542848, 0.678659576966, 0.2406568744, 0.020618969131, -1.10846524409, 1.39588099609, -1.00625947286, -0.323416493382, 0.000804396027282, 0.509388330469, 0.816868159315, \
          0.527960496057, 0.19539847074, 1.49770403336, -0.428485225688, -1.48519215082, -0.247720701463, -1.37729718809, -0.0990172459693, -0.948182264206, -1.23016309879, 0.567181179073, 1.88711703865, \
          0.513699636103, 0.0784744886291, 1.64777939549, -2.11293040752, 0.325575542399, -2.15742012666, -1.70582710111, -1.31523564014, 0.79471464277, 0.10715369167, 1.27790316116, 0.434464623527, \
          0.391330572487, -0.28820612937, -0.862076702238, -0.780858780216, 0.628075797446, 1.31701779614, 2.00591881126, 1.99414075142, -1.45539367418, -1.00471837147, -0.256527682182, -1.7206333649, \
          -0.684463210451, -1.00045776452, 0.321108807362, -0.245674315462, -1.3416378153, -0.813928107063, -0.0946719175672, -0.0971371330342, -0.948533945958, -1.09246135311, -0.11517715997, -0.309760641549, \
          -1.3297069922, -0.55836891224, 0.184744107808, 0.110866836478, 0.646102588472, -0.357482876395, -1.00605635284, 0.384706043294, -0.683797521693, -0.462712757004, 0.025233344835, -0.507004543121, \
          0.652761592084, -0.235555969778, 0.998164816468, 0.11731148238, 0.745480832876, 0.2689949594, -0.200885190455, 0.0943717565037, 0.525997148175, 0.73734430425, -1.0109802219, -0.0718532204, \
          -0.193625467659, 0.221519747638, 0.581031155974, 0.397629997368, -2.14622270441, 2.32018020727, -0.927738298846, 0.357359396346, -0.0190622210238, -1.27170985909, 2.15669625321, -0.889220753195, \
          2.16027079107, 0.262453501383, 0.681482773225, 0.0253578437642, -0.152693530473, -0.557976640507, -0.401321950293, -0.39652064523, -1.04520545919, 0.502888061552, -0.985051046254, -0.689681990409, \
          0.856102141016, 1.57070122971, -0.424019526666, 0.839695349937, -0.176047495727, -0.981641285344, -0.831107905146, -0.0692067985326, 1.03600394594, 0.314801330913, 1.83358639428, 1.52825629063, \
          0.571324779819, -0.696627558702, 0.580120041152, 0.758563441474, -0.0329382898035, 1.50727179664, 0.494847157047, 1.42665970027, -0.173570533894, 1.22714538795, -0.848985518357, -0.414438696638, \
          0.262728166559, -0.716861549237, 0.559527643447, 0.0497315653344, 0.668102479074, 0.828018287013, -1.66680277886, 0.0102132345617, -0.242215140872, 0.992669257102, -0.96254157619, -0.905707120694, \
          0.934323493005, -0.670915138685, 0.600053591906, 0.093109446143, 0.216196387191, 1.67558075683, 0.18741399791, 0.0838690806561, 0.388436373136, -1.03024485368, 0.271415005786, 2.30463715651, \
          0.36716777111, 1.96044054849, 1.86319704059, -1.91474865692, -0.529591646741, -2.03174281173, -0.160470488289, -0.304894896825, 1.78188205519, -0.925386220552, 1.98877000246, -0.066852511112, \
          1.16121732455, -1.44537373388, -0.63553000944, -0.539019035726, -0.196085312324, 0.423911292415, -0.693182348251, 0.778376296731, 0.933881138597, 1.90151699628, 0.124016599901, 0.00135431524302, \
          -0.40410499221, 0.270141951286, 0.493719428775, 0.337658500592, -1.81909724202, 0.431148887042, -0.852187812969, 0.660510126699, -0.761909183902, 0.699844425461, -1.28261472368, 0.742597921298, \
          -1.11762266124, -2.63662712089, 0.823725870962, 0.380666965359, 0.00173290615562, -0.406844295253, 1.07286311232, 1.22880704813, 1.04610572599, 1.00262913895, -0.0625371941614, 0.721348913583, \
          0.0918962726601, 0.916297662243, -0.162783219917, -1.16542479646, 0.456188493588, 1.47921669825, 1.42944006979, -1.19185578691, -0.858298317127, -1.62996378931, -0.0173282480963, 0.751897115733, \
          -0.976973176947, -0.20072660953, 1.87804697083, 0.372375967569, 1.20447675695, -0.112085957929, -1.89184531771, 0.536836064734, 0.866184838666, -1.32258101024, 1.36110195644, -0.0955176757888, \
          0.575221100722, 0.774006175892, -1.51723201855, -0.151571921106, -1.83179816709, -2.51422857998, 1.11779022621, 0.375514802819, -0.41137886898, -0.316168842628, -0.427894940859, -1.60618888928, \
          -0.651039208343, -1.84760813956, 0.645789243945, -0.663178225088, -0.876866603807, 1.14456221509, -0.683168882792, 1.52032975621, 0.800172085714, -0.723773980667, -0.808352182974, 0.00614368812808, \
          -1.43532352059, 0.582148887853, -1.2019487933, -0.58658071154, -0.217885985198, -0.485478601066, 1.5077216462, 0.511168988668, 0.362954769142, -1.81930313762, -0.228536077317, 0.837247244304, \
          0.103958044653, 1.06899097882, -0.306738603415, 0.98003304073, 0.0977667834682, 1.00990250115, 0.277390012899, -1.62365039533, 0.325132637192, 0.306478923544, -1.30253118958, 0.518212709595, \
          -1.0280691555, 0.630588091353, 0.710418796955, 0.260768957213, -2.15254847839, -0.228091411121, -0.347992776506, 1.41427913126, -0.533143761522, -0.387397953547, -1.18673866326, -0.923786405348, \
          -1.7777849085, -0.620205840981, -0.225980411838, -1.94848651667, 0.805872851298, 0.490840998002, -0.694344623891, -0.229382972875, 0.289271582479, -2.42318114858, 1.22112028462, 1.39891056283, \
          -0.0804035792866, 1.53383946196, 0.381629994213, 0.6030492954, -1.07823705547, -0.704102644592, 0.41607776983, 0.919319513746, 2.00288120687, -0.720315133915, 0.430133802722, -0.117588562747, \
          1.36677854761, -1.75334251271, 0.162143067509, -0.258248161055, -1.11225415294, -0.590268403629, 0.43625413331, 1.80182678719, 0.755782347678, 1.51166304631, -0.626485084899, -0.975330866458, \
          -1.65763751044, 0.864580898177, -0.374414299551, 1.93775341507, 1.36741220794, 0.144473022366, 0.46671443188, 1.19491075784, -0.463053860897, -0.276296269178, -1.03646556706, -0.423081984654, \
          -1.21123451595, 0.150382982512, 0.0186786826946, 1.20561882807, 1.36017861604, -0.148368365785, 1.02512647439, -1.19949517245, -0.0843779360155, -1.20490101241, 1.84008678065, 0.348839276214, \
          0.537275392537, 0.30389367297, 0.57054096282, -1.24021462391, -0.807617268735, 0.0412331019167, 0.47243105868, -1.23864025431, -0.936492652544, -0.565509589375, -0.181537263563, -0.0307145050938, \
          -0.78373977421, 0.279500198468, 0.0198932802246, 1.35994591559, -1.64540812263, -0.12368032799, 0.518572086135, 0.53268902629, 0.683165481539, -0.828150316294, 1.00768596717, 2.91264359531, \
          1.97331069847, 0.487980941052, 0.16944326923, -0.479183080697, -0.114636500517, -0.0567198985744, -1.19660668394, 0.502240385407, -0.69279841544, -0.234219604712, -1.39958407667, 0.0302826250924, \
          -0.0489758279718, -0.212121189472, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    # array of expected SPI/gamma values at 6-month scale corresponding to the fixture precipitation values (full period of record as calibration period)
    fixture_spi_6_month_gamma = np.array(
        [ np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, 0.656108097182, 0.627886213919, 0.382608720573, 0.211570963222, -0.20001105126, -0.405801859489, -0.27512605032, \
          -0.064820303961, 0.00767727976002, 0.212957522072, -0.0795632931615, -0.686949446822, 0.429504483247, 0.213566572417, -0.129754935307, -0.229380986693, -0.310923852523, 0.0288602315302, -1.02643255469, \
          -1.12782957733, -0.48459259028, -0.408775607911, 0.331443586847, -0.518926637711, -0.500054266549, 0.131126098322, -0.015064278075, 0.747485069236, 0.603507307728, 0.891651088243, 1.20591417769, \
          0.562433429561, 0.319492062001, -0.96294725702, -1.66551436371, -2.5377640325, -2.40583129368, -1.72671819222, -0.465516489745, -0.0194204000261, 0.773250381114, 1.28056520704, 1.91522304393, \
          2.0453784263, 1.90718698213, 1.74063040129, 1.42138401773, 0.781348445018, 0.637299295584, 0.419394113663, -0.377561002753, -0.071843164133, 0.0225380455305, 0.283654943371, 0.142209589414, \
          0.247930738012, 0.599800407441, 1.07447750633, 1.05156403689, 1.65466579161, 1.44320777339, 1.43797205658, 1.05142946488, 0.23673406324, -0.0738142944294, -0.516312917957, -0.423877227414, \
          -0.529022834309, -0.254761133992, 0.278995067162, 0.324008790815, 0.480845792732, 0.720804384281, 0.719037587833, 1.23504376561, 0.9565618987, 0.468277848791, 0.284675574484, -0.227193172691, \
          -0.40738447125, -0.691491087097, -0.765537982123, -0.0692405822301, -0.410124456616, -0.617833559547, -0.783264140266, -1.72023645137, -1.27502304396, -0.2125055227, 0.124176317487, 0.394417003069, \
          1.06021657547, 1.7419183244, 2.22834666448, 1.21148710015, 0.839640217143, 0.444726372314, 0.105025142612, -0.440333330569, -0.746001548194, -0.999435870411, -0.426733466544, -0.406416970939, \
          -0.247126972648, -0.0627220355409, -0.401901934606, 0.284006868294, -0.166243076426, 0.349362714684, -0.103791680815, -0.351287059578, -0.765643815722, 0.215724018087, 0.440096809747, -0.0542127530132, \
          -0.0014441434938, 0.0544916526115, 0.621603838872, -0.343146069693, -0.258958533448, -0.562235464527, 0.101200953962, 0.552992767613, 0.355997671627, -0.0746765757893, -0.55188306602, 0.473259745574, \
          0.255263501963, -0.000205643421242, 0.276695375138, 0.484090887809, 1.22818360173, 0.859350744623, 0.766546166451, 1.01366389925, 0.31938331792, 0.27996182605, -0.233369236013, -1.06095060825, \
          -1.46769796902, -2.43834369709, -2.01679657113, -2.27626780341, -0.71999092275, -0.442034093754, -0.486933088658, -0.424985678737, -0.204108541651, -0.568755473073, -1.23222693447, -1.06941026582, \
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          0.965383824341, 0.46537245907, -0.767277940872, -0.526460718421, -0.086739656847, 0.195241921224, 0.306371084145, 0.95250543988, 0.596314496273, 0.273403166296, -0.146049234752, -0.274177603028, \
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          -0.0459125912816, -0.10814329717, 0.177601714285, 0.362529640434, 0.45796065335, -0.313230665637, 0.0810343561492, 0.00306264665432, -0.221715021647, -0.7253527933, -1.03355068891, -0.922250925872, \
          -1.52971837932, -1.76361388664, -1.77702713702, -0.759327510641, -0.795332033868, -1.08755239578, -0.28973234561, -0.432241151129, -0.685719453513, -0.746567599704, -0.633928194389, 0.0659576872206, \
          -0.382666002283, 0.0275818618673, 0.695060264413, 0.654925536607, -0.141691456412, -0.478841231343, -1.05335279339, -1.05656347066, -1.84217757405, -2.20189143011, -1.58914968582, -1.00058688578, \
          -0.478425892839, -0.428484738603, 0.584389390258, 0.868316435909, 0.812284585658, -0.740427196102, -1.4304504565, -1.83985946762, -1.76707835436, -1.31987198236, -1.07412926271, -0.181438538768, \
          0.354770911237, 0.704505104517, 0.192059788276, -0.0642982315235, -0.279786812733, 0.587091879196, 1.20789540501, 1.9363220271, 1.52417263965, 1.29517619806, 1.09200549679, 0.232404861794, \
          -0.787632713884, -2.4584039242, -1.74855739003, -1.23399571497, -1.94955761951, -1.75502254205, -1.60224016003, -1.3221371729, -1.67744317275, -2.03901014674, -1.67639564497, -1.46178474603, \
          -1.77677621106, -1.97744592388, -1.5946811536, -0.845559206246, -0.32700524811, -0.447315659806, -0.573333273103, -0.270663595767, -0.547932643041, -0.778252690577, -1.12649053474, -1.1240690265, \
          -0.656805337005, -0.92632766928, -0.288880374615, 0.0772120748279, 0.494501501783, 0.551762626059, 0.365559594901, 0.43775374152, 0.392903830587, 0.689234060178, 0.270405986933, 0.186961856479, \
          0.201172511262, 0.212968678819, 0.105432764448, -0.273054228866, -0.883297910675, 1.17887226866, 1.04029228161, 1.08776161434, 0.89400679648, 0.351444655026, 1.54566841969, -0.156373190682, \
          0.860078491675, 0.776680409288, 1.02865124089, 1.61784182437, 0.593608333715, 0.25149350392, -0.649517535132, -0.808757626605, -1.32229002828, -1.00209250389, -1.15833831594, -1.06744916509, \
          -0.7218398026, 0.0327806688065, 0.42890407569, 0.530598363089, 0.604163520957, 0.0693941875187, -0.401201309012, -0.946628452578, -0.280757325053, -0.412077841367, 0.297795760614, 1.2032972223, \
          1.54893580147, 1.44293501991, 1.19454156005, 1.39689790801, 0.591885212579, 1.05640125961, 1.12442665298, 1.68083053307, 1.41208063489, 1.73181245826, 1.72727780073, 0.982865565509, \
          0.891019475571, 0.13844153789, 0.399106925448, -0.623803846165, 0.0517872016257, 0.572857548475, 0.129953101934, 0.253824209431, 0.0257150155473, 0.511869398588, 0.118141079865, -0.533164860269, \
          0.173623653364, 0.043169895581, 0.344625802332, -0.394525762315, -0.048179047233, 1.16749478999, 1.0644993754, 1.15804566415, 1.10455840511, 0.708817693662, 0.743562960692, 0.311684577147, \
          0.325794320094, 0.990156302667, 1.4703167838, 1.69800804885, 1.41196018148, -0.260023996197, -0.404830473913, -1.26895222981, -0.743576193142, -0.823476417219, 0.0984146023258, 0.920974859063, \
          1.27133035093, 1.18406158802, 0.125923746724, 0.499370560697, -0.746659391562, -0.293347661984, -0.881245912683, -0.284652475747, 0.247564285272, 1.40541105802, 1.5778491348, 1.63023109799, \
          1.76149199673, 1.51511079911, 1.30770703788, -0.0491558813665, -0.902861236651, -0.40399635142, -0.598747136952, -0.339413546415, -0.713529736129, -0.420154415031, -0.140674501654, -0.238129413251, \
          -0.170834797449, -0.758180565479, -0.154364436114, -0.563278091776, -0.28238705529, -0.664447617771, -0.0924344610367, 0.614974071786, 0.829142304542, 1.17152527933, 1.23738704152, 1.78319441324, \
          1.49456225641, 1.23549953612, 0.784209983766, -0.198150369548, 0.0739498593327, 0.880487122548, 1.3378756714, 0.781257461452, 0.466276396764, 0.141070467139, -0.0294727745546, -1.05853549284, \
          -2.0780725424, -1.65733559351, -0.435899348581, 0.518225169187, 1.21346718109, 0.727186353358, 0.450233611526, 0.667698335447, 0.475289138856, -0.0878774473368, -0.255435623675, -0.19302956285, \
          0.430309475147, 0.422117469873, -0.282839293499, 0.363826555028, -1.11572941111, -2.06478182863, -1.62148940508, -1.55558067392, -1.37738011018, -1.4491038953, -1.06059140648, -0.36293046179, \
          -1.00810637328, -1.53875690955, -1.2510359404, -1.40712082318, -1.81186114387, -0.176800954824, -0.277422976318, 0.573162344415, 0.723030498708, 0.55627529054, 0.735567641067, 0.10059686051, \
          0.105154770428, -0.493544886591, -1.45241040264, -1.26722446132, -1.13279886468, -1.19454568191, -0.333910124646, -0.246745565255, 0.0744791843257, -0.371090967864, -0.333577401088, 0.12517398722, \
          -0.488602402161, -0.369852397263, -0.736976078552, 0.620045441592, 0.681432614133, 0.933865930446, 1.02850853016, 0.306624271298, 0.454941400122, 0.252165490464, 0.0603281156427, -0.526231936955, \
          -0.859239695938, -0.104333224703, -0.0855541493162, -0.173300955126, -0.722701719897, -0.844253313074, -0.796917953228, -0.259489558302, -0.611056070627, -0.856731518855, -0.532486109597, -0.557798501222, \
          -0.715642858128, -1.75365422075, -1.77763325432, -2.4142927834, -0.981309703903, -0.286161098061, -0.295017028794, -0.238581396903, -0.0609925098749, -0.458673929248, -0.467712738312, -0.462811534339, \
          -0.29005523059, 0.342964580437, 0.328742240411, 1.40915743955, 0.545585748846, -0.30620402496, -0.150963036917, -0.253365418144, 0.673594912828, 0.206852625888, 0.650678916642, 1.11534416145, \
          1.36277047955, 0.815022564532, -0.397295899979, -0.0355532556426, -0.803262022327, -0.979685195712, -1.29175042133, -0.0992597033534, 0.203286940082, 1.05846581323, 1.32183318877, 1.72364402203, \
          1.45365104008, 0.908821772663, 0.535571077652, 0.505520167767, 1.4406122453, 1.25657626542, 1.58817310309, 1.75706645427, 1.54780847692, 0.683195932388, -0.103197151503, -0.226787471337, \
          -0.625652049428, -1.27185391373, -1.16376015079, -0.22192525333, 0.921647117761, 0.657393290077, 1.13432860683, 0.75975846306, 0.667252846713, -0.180465057927, -0.234293667881, -0.0617590170238, \
          -0.347926828754, 0.14651343538, 0.367285745274, 0.713911858778, -0.656001333374, -0.576462647597, -0.547147136938, -0.998576711764, -1.4336973978, -1.40575346709, -1.19733682995, -1.39692443266, \
          -1.90178772657, -1.31130186568, -0.927753140357, 0.260997512461, -0.383278783097, -0.401256506229, -0.0962737080761, 0.06368936608, 0.339485378144, -0.501731307069, 0.231650625281, 1.30502760841, \
          1.74464244702, 1.63597199307, 1.49394557926, 1.81645316844, 1.4499384823, 0.2362389686, -0.799471807399, -0.651006075687, -0.907907651423, -0.882623055721, -1.09097517206, -1.18515555108, \
          -0.865341823441, -1.21636145299, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    # array of expected SPI/Pearson values at 6-month scale corresponding to the fixture array of precipitation values
    # and using a calibration period of 1981 - 2010
    fixture_spi_6_month_pearson3 = np.array(
        [ np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, 0.700770796933, 0.760562407541, 0.396188979217, 0.145364504129, -0.0660125105321, -0.409718134124, -0.156060458797, \
          -0.0591445790703, 0.00376396548059, 0.160469538613, -0.202926011309, -0.612096633242, 0.479387243261, 0.329446116067, -0.134113259343, -0.317029578717, -0.177642656992, 0.0387527820229, -1.18602402036, \
          -1.10318084957, -0.424553086353, -0.416259264126, 0.176722243938, -0.440185594906, -0.452396641112, 0.242622658616, -0.0150916881666, 0.782130242912, 0.753564262667, 0.915171975151, 1.30441508367, \
          0.562802287166, 0.294821351147, -0.899338451446, -1.71787331134, -2.58393936418, -2.62507918648, -1.86198079221, -0.483717668414, -0.103167089228, 0.92896004447, 1.30530421363, 1.89458415979, \
          2.04579146127, 2.02038753155, 1.69975812309, 1.17059798116, 0.871058016148, 0.68246325172, 0.544655507998, -0.391960279106, -0.157603850914, 0.159118398365, 0.299325069437, 0.302951690002, \
          0.250489428647, 0.569723113059, 1.01015167151, 0.835047650123, 1.73931320626, 1.45769254742, 1.5830546379, 1.08361727392, 0.173322843859, 0.0614642203413, -0.524616148922, -0.334242286211, \
          -0.516786129566, -0.229293632933, 0.223658190688, 0.169883675602, 0.570412689297, 0.763653997678, 0.854348982582, 1.27153231262, 1.05642703217, 0.614368855588, 0.300365677906, -0.100498636412, \
          -0.397106113585, -0.593345321299, -0.730887620223, -0.193347534565, -0.329240605412, -0.573984409884, -0.750421811722, -1.80957475704, -1.23580158347, -0.078607038997, 0.136418053984, 0.558164936027, \
          1.05884635243, 1.82155278278, 2.21928434289, 0.980329438705, 0.929249445373, 0.494316522986, 0.215055330614, -0.457432702893, -0.799239401883, -0.861493553313, -0.431451829418, -0.312843728767, \
          -0.239164554973, -0.0598169781956, -0.41007430039, 0.13307270488, -0.0815203741929, 0.400639876832, -0.0069354092645, -0.364575516819, -0.816430235351, 0.355736512438, 0.45854822949, 0.0934675372232, \
          0.00351977876391, 0.0464775370263, 0.556887728785, -0.448379030011, -0.175546129105, -0.516467179724, 0.21101305336, 0.571788009942, 0.308306999124, 0.0605915460043, -0.56167950528, 0.635236249301, \
          0.257760704635, -0.00339436105817, 0.221451865985, 0.316918161524, 1.31619297485, 0.897872737983, 0.903092923385, 1.04492715377, 0.266426290429, 0.421352510672, -0.231172872648, -1.24426865075, \
          -1.43370866684, -1.76618151047, -1.72172013196, -2.34300466871, -0.645990853306, -0.392848771886, -0.421731521419, -0.441418813735, -0.29186660074, -0.435615513702, -1.27906787605, -1.2587678191, \
          -0.871136531741, -0.721726757498, -1.13542033484, -0.65544346927, -0.565042681321, -0.778589592137, -1.04996946548, -0.504141452466, 0.514335591413, 0.752207935559, 0.735332278418, 0.948717341762, \
          0.964193261513, 0.436314287039, -0.73239041903, -0.620183241621, -0.00103001075513, 0.248475571733, 0.426748415715, 0.982241552556, 0.593318251649, 0.414647814281, -0.141082564868, -0.15495279325, \
          -0.514200463796, -1.08621701189, -0.977236815432, -1.44633223633, -0.81688757996, -0.590412598691, -0.855466160327, -0.789116022758, -0.690500154608, 0.717522662096, 0.384478853908, 0.399889893114, \
          0.331305341528, 0.054732281049, -0.115120045901, -1.87834601276, -0.431542853972, -0.583284353051, -0.0130855176712, 0.13539890639, -0.00860751610944, -0.0739168592541, 0.271290774485, 0.889384584109, \
          0.841111992863, 0.987979124453, 1.40386112419, 1.67748854874, 1.54980438804, 1.06700876319, 0.632285879505, 0.00900486906034, -0.158976350583, 0.152978505484, 0.624654879862, 0.849545882426, \
          1.01069982274, 1.40637359515, 1.42350526713, 1.1761349314, 0.627971212025, 0.436683349483, -0.0381051546465, -0.4200838058, -0.765890734591, -1.37058389246, -1.08875411022, -1.56430027658, \
          -0.685573512824, -0.41179371816, -0.288895265382, 1.05504634413, 0.614696321931, 0.130560216553, 0.772461931237, 0.275839938866, 0.405935359657, 0.102499389795, 0.198455229806, 1.1089217111, \
          0.590473450344, 1.19044786287, 1.08867647362, 0.729779692394, 0.748098500679, 0.833190174537, 0.979646653106, 0.21410683902, 0.114978257136, 0.3305974416, 0.189569269112, -0.513204809247, \
          -0.990439131975, -0.410425902353, -0.74501561938, -0.458909567754, -0.351880365357, 0.202644891527, 0.663920181513, 0.165007180326, -0.26619261908, 0.453460128419, 0.440634262778, 0.0848461307397, \
          -0.573959881167, -0.304523377128, 0.524400678212, -0.410286699236, -0.907465280182, -0.684717609459, -0.500582955634, -0.417771734735, -0.152034032209, -0.0242831453584, -0.155712743348, -0.0133333102752, \
          -0.157169663197, -0.258113157472, -0.932923803179, -0.484880651946, -0.192442584573, 0.0475266442796, -0.0886923082238, -0.350045230358, -0.688990360061, -0.751479893247, -0.917844604342, -1.25979497125, \
          -0.963577676114, -0.320547692765, 0.135834940767, -0.0105069474807, 0.68844373696, 0.73076090294, 0.508564430864, 0.53898838611, -0.300778025916, -0.580746528735, -1.0659536242, -2.99586905308, \
          -1.37877216236, -1.44211960826, -1.3476826452, -0.342000800888, 1.15588377741, 0.346466423591, 0.924147725849, 0.147607605704, 0.574710479893, 0.31585950365, -0.518907602524, 0.376123164406, \
          -0.559021242598, 0.255861755871, 0.227633163913, 0.0600059523677, -0.238429004241, -1.24995721526, -1.3102222371, -1.82181020505, -2.40457668364, -0.857177963233, -1.27033976196, -0.544078345477, \
          -0.497172579824, -0.242403626071, 0.416305937062, -1.71731790491, -0.252371521947, 0.0359684197874, 0.234531399421, 0.563028596293, 1.47894784537, 2.82143538038, 2.48928265221, 2.52697190531, \
          2.58066388959, 2.35917119046, 1.53030104888, -0.332455353381, -0.0436102961705, 0.0395406203703, 0.353840543777, 0.368329200459, 0.277926369795, -0.0869695671528, -0.758462158146, -1.44279445915, \
          -0.806469313301, -0.625534603581, -0.825420592714, -0.152638598703, 0.267272243759, -0.310964728004, -0.559249670943, -0.725869508836, -0.830889745693, -0.54639359647, -0.903091954745, -0.298032596074, \
          -0.0498552357446, -0.0832580767766, 0.523424221122, 0.0550506975861, 1.26185767155, 0.909488968061, 0.319793689214, 0.691878861273, -0.387451325621, -0.928233676836, -1.67864664174, -1.32384382425, \
          -0.0817954650308, -0.755081731262, -0.234520959245, 0.655001272134, 0.428313861118, 0.109059207133, 0.0296398046975, 0.918120575317, 2.07428349113, 1.66703331672, 1.74435981728, 1.65923905272, \
          1.11184346548, 0.485159074534, -0.570798203769, -0.517451137166, -1.35010481539, -1.50120423585, -1.36178050126, -1.93790589087, -1.58343774954, -1.26389720513, -1.01592606543, -0.635111627793, \
          -0.91669562412, -0.437635424854, -0.307134446714, -1.16124833139, -0.817713915298, -0.758196870691, -0.455219430524, 0.0932490578839, 0.410593096578, 0.517949574708, 0.315103668289, 0.833314574136, \
          0.521936977267, -0.184545431881, -0.750817079252, -0.593477367633, -0.00850792951745, -0.29331490183, -0.286365046758, -0.348015179548, -0.0125356151247, 0.967990203975, 0.685256960294, 1.17455119415, \
          1.31233536297, 1.42078394165, 1.24935943987, 0.594307299334, 1.08359806188, 1.43641339761, 1.26393822225, 0.843690516682, 0.061077070869, 0.16567599423, -0.229928816646, -1.87691833149, \
          -0.382202511049, -0.0861028224623, 0.787113602097, 1.09525158002, 1.32523367021, 0.312448383641, -0.798625164578, -1.37376635171, -1.25344405016, -1.76765810807, -1.98465348353, -1.74204549456, \
          -0.602022815991, -0.235966108579, -0.690153700401, -0.901739424537, 0.753098185258, 0.845832982876, 0.400982535915, 0.83537481112, 0.464562312456, 1.10340537115, 0.408719358982, 0.299703369863, \
          0.508951049798, -0.156863052202, 0.451147781235, 0.481621589188, 0.578105670401, -0.00155907383341, 0.343334819829, 0.656981704159, -0.243710708823, 0.782055688215, 0.499310634837, 1.06973547692, \
          0.711943536776, 0.369284997639, 1.07673510047, -0.593468513719, 1.77970271522, 1.39303571778, 1.3604616865, 1.14903483754, 1.40755276456, 0.881696305369, -1.18717961479, -1.92108066465, \
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          1.36126732211, 0.789381343168, -0.405927245972, -0.162105722888, -0.731547313389, -0.954265998345, -1.33488398598, -0.102447629053, 0.136199283689, 1.22529454375, 1.34654659632, 1.73943604664, \
          1.45223266891, 0.887460074079, 0.472384790929, 0.336568555208, 1.52713608658, 1.27967041485, 1.73316939304, 1.80416254529, 1.92770816313, 0.835814566057, -0.0969479819197, -0.100031936937, \
          -0.611731310211, -1.03215069168, -1.06631343786, -0.335280135198, 1.01105014312, 0.702021309208, 1.2774837655, 0.78443135886, 0.680965551655, -0.0463002789996, -0.232127777595, 0.0852038637303, \
          -0.338542097729, 0.131450075495, 0.308678441369, 0.527293210238, -0.580376819203, -0.531164438921, -0.487915680612, -1.04281176762, -1.35666739492, -1.25704068444, -1.24184894316, -1.91298140714, \
          -1.85306799615, -1.06015256785, -0.869614069925, 0.111885650076, -0.301908822696, -0.351128550999, 0.001103217699, 0.0665262673346, 0.289370803829, -0.368764359587, 0.246270207759, 1.38969692792, \
          1.74385778988, 1.69645148442, 1.44148783763, 1.52761250431, 1.53638820908, 0.289048900118, -0.76862637623, -0.67766241568, -0.938602007879, -0.746631580559, -1.12869504376, -1.46714147325, \
          -0.846728946775, -0.992371133098, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    # array of expected SPEI/Pearson values at 6-month scale corresponding to the fixture array of 
    # precipitation values and temperature values, and using a calibration period of 1981 - 2010 (the default)
    fixture_spei_6_month_pearson3 = np.array(
        [ np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  0.750,  0.728,  0.363,  0.166, -0.150, -0.305, -0.089,  \
           0.140,  0.268,  0.577,  0.330, -0.214,  0.554,  0.297, -0.147, -0.308, -0.237, -0.026, -0.960,  \
          -0.981, -0.478, -0.609,  0.049, -0.427, -0.588, -0.105, -0.175,  0.788,  0.707,  0.895,  1.259,  \
           0.648,  0.469, -0.843, -1.434, -2.011, -2.103, -1.523, -0.491, -0.065,  0.741,  1.176,  1.846,  \
           2.146,  2.016,  1.706,  1.357,  0.629,  0.446,  0.322, -0.470, -0.137, -0.021,  0.360,  0.286,  \
           0.346,  0.771,  1.270,  1.245,  1.730,  1.496,  1.403,  1.040,  0.154, -0.165, -0.585, -0.441,  \
          -0.525, -0.201,  0.507,  0.890,  0.981,  1.030,  0.989,  1.484,  1.165,  0.551,  0.504,  0.152,  \
           0.056, -0.153, -0.090,  0.624,  0.032, -0.348, -0.585, -1.547, -1.200, -0.281,  0.018,  0.276,  \
           0.898,  1.626,  1.949,  1.004,  0.812,  0.489,  0.203, -0.257, -0.420, -0.560, -0.045,  0.107,  \
           0.214,  0.347, -0.014,  0.528,  0.059,  0.401,  0.031, -0.092, -0.441,  0.503,  0.790,  0.390,  \
           0.415,  0.324,  0.806, -0.020, -0.310, -0.655, -0.149,  0.331,  0.155, -0.220, -0.561,  0.414,  \
           0.142, -0.140,  0.298,  0.600,  1.251,  0.920,  0.870,  1.174,  0.423,  0.459, -0.010, -0.734,  \
          -1.228, -1.892, -1.848, -2.202, -0.781, -0.504, -0.446, -0.426, -0.167, -0.422, -1.027, -0.895,  \
          -0.766, -0.699, -1.085, -0.932, -0.934, -0.941, -1.143, -0.685,  0.405,  0.769,  0.916,  0.910,  \
           0.987,  0.421, -0.783, -0.751, -0.364, -0.007,  0.196,  0.835,  0.560,  0.375,  0.036,  0.054,  \
          -0.212, -0.884, -0.568, -0.640, -0.232, -0.175, -0.310, -0.208, -0.136,  0.939,  0.890,  0.931,  \
           0.907,  0.570,  0.460, -0.872,  0.053, -0.276,  0.309,  0.561,  0.478,  0.235,  0.467,  0.821,  \
           0.754,  0.931,  1.236,  1.687,  1.209,  0.914,  0.506, -0.082, -0.129,  0.049,  0.625,  0.642,  \
           0.748,  1.163,  1.122,  1.275,  0.556,  0.597,  0.298,  0.182,  0.082, -0.563, -0.256, -0.479,  \
          -0.106, -0.010,  0.359,  1.624,  1.069,  0.617,  1.148,  0.902,  0.948,  0.543,  0.667,  1.342,  \
           0.959,  1.534,  1.599,  1.501,  1.190,  1.288,  1.385,  0.797,  0.577,  0.455,  0.494, -0.147,  \
          -0.775, -0.257, -0.289,  0.338,  0.298,  0.638,  1.160,  0.912,  0.483,  0.863,  0.957,  0.551,  \
          -0.092,  0.032,  0.836,  0.161, -0.205, -0.120,  0.135,  0.292,  0.648,  0.512,  0.549,  0.669,  \
           0.641,  0.305, -0.316,  0.262,  0.285,  0.313,  0.187,  0.154, -0.071, -0.329, -0.419, -0.500,  \
          -0.551, -0.113,  0.336,  0.556,  0.968,  1.014,  0.781,  0.911,  0.272, -0.255, -0.602, -1.283,  \
          -1.070, -1.349, -1.040,  0.065,  1.271,  0.635,  1.141,  0.617,  1.029,  0.788,  0.187,  0.722,  \
          -0.081,  0.537,  0.484,  0.315,  0.034, -0.694, -0.666, -1.012, -2.062, -0.478, -0.946, -0.468,  \
          -0.470, -0.375,  0.349, -1.562, -0.131,  0.149,  0.332,  0.824,  1.662,  2.583,  2.514,  2.708,  \
           2.916,  2.440,  1.470, -0.387, -0.271, -0.121,  0.120,  0.280,  0.338,  0.029, -0.323, -0.604,  \
          -0.359, -0.240, -0.217,  0.396,  0.254, -0.286, -0.560, -0.734, -0.854, -0.691, -0.783, -0.325,  \
          -0.133, -0.173,  0.492,  0.325,  1.295,  1.076,  0.637,  1.081,  0.071, -0.686, -1.287, -0.815,  \
           0.036, -0.699,  0.165,  1.215,  0.818,  0.520,  0.454,  1.268,  1.964,  1.568,  1.770,  1.624,  \
           1.181,  0.426, -0.510, -0.348, -1.332, -1.447, -1.311, -1.649, -1.554, -1.189, -0.725, -0.265,  \
          -0.513, -0.258, -0.139, -0.904, -0.544, -0.530, -0.314,  0.359,  0.747,  0.683,  0.581,  0.963,  \
           0.717, -0.201, -0.847, -0.610, -0.265, -0.418, -0.217, -0.065,  0.361,  1.143,  0.986,  1.294,  \
           1.362,  1.384,  1.277,  0.687,  0.918,  1.445,  1.259,  1.031,  0.319,  0.318,  0.202, -0.813,  \
           0.093,  0.418,  1.532,  1.922,  1.799,  0.820, -0.179, -0.725, -0.991, -1.703, -1.790, -1.462,  \
          -0.863, -0.706, -1.121, -1.145,  0.464,  0.756,  0.318,  0.962,  0.625,  0.993,  0.514,  0.258,  \
           0.584, -0.199,  0.558,  0.704,  0.387,  0.019,  0.332,  0.812, -0.019,  0.765,  0.763,  1.145,  \
           0.902,  0.568,  1.371,  0.000,  1.786,  1.493,  1.414,  1.387,  1.563,  0.980, -0.687, -0.853,  \
          -0.940, -1.041, -1.956, -0.879, -0.807, -0.296,  0.025, -0.058,  0.957,  0.645,  1.096,  1.151,  \
           1.170,  1.779,  1.229,  1.144,  1.131,  1.646,  1.979,  2.340,  1.876,  1.712,  1.630,  0.908,  \
           0.092, -0.577,  0.065, -0.025,  0.116,  0.046,  0.339,  0.245,  0.385,  0.508,  0.283,  0.410,  \
           0.277,  0.012, -0.834, -1.271, -0.957, -1.036, -0.827, -1.328, -1.472, -1.374, -1.613, -1.520,  \
          -1.646, -1.158, -0.867, -0.706, -0.583, -0.725, -0.424, -0.388, -0.680, -0.035, -0.084,  0.430,  \
           0.132,  0.410,  1.134,  0.624,  0.387, -0.277, -0.147, -0.139,  0.995,  0.688,  0.813,  1.398,  \
           1.542,  2.038,  1.110,  2.202,  1.928,  1.321,  1.529,  0.564, -0.100, -0.954, -0.283, -0.099,  \
          -0.678,  0.110,  0.478,  1.607,  1.153,  1.387,  0.905,  0.459, -0.007, -1.081, -1.049, -1.656,  \
          -1.044, -0.786, -0.441, -0.023, -0.260, -1.176, -0.803, -0.717, -0.846,  0.056,  0.701,  1.186,  \
           1.082,  0.784,  0.901, -0.341, -0.762, -1.378, -0.928, -0.758, -0.802, -0.231, -0.726,  0.007,  \
          -0.398, -0.500, -0.568, -1.365, -1.699, -2.270, -2.397, -1.622, -0.796, -0.187,  0.177,  0.938,  \
           0.826,  0.395, -0.008, -0.550, -0.156, -0.142,  0.252,  0.158, -0.102, -0.195, -0.301, -0.250,  \
          -0.799, -0.285,  0.082,  0.372,  0.154,  0.860,  1.517,  1.716,  1.485,  2.198,  2.345,  2.115,  \
           1.987,  1.226,  1.387,  0.120, -0.256, -1.060, -1.177, -0.455,  0.461,  0.824,  0.788,  1.264,  \
           0.933,  0.138, -1.054, -1.924, -0.851, -0.495,  0.544,  0.970,  1.070,  1.338,  1.656,  1.962,  \
           1.174,  0.911,  0.702,  0.157, -0.711, -1.689, -0.951, -0.740, -1.000, -0.400, -0.314,  0.798,  \
           0.344,  0.308,  0.620,  0.605,  0.122, -1.010, -0.776, -0.782, -1.054, -1.631, -1.463, -0.968,  \
          -1.395, -1.292, -0.683, -0.568, -0.672, -0.800, -0.445, -0.670, -1.268, -0.407, -0.385,  0.023,  \
           0.270,  0.380,  0.891, -0.185, -0.683,  0.350,  0.263,  0.291,  0.696,  1.028,  1.454,  0.896,  \
           0.403,  0.556,  0.592,  0.826,  1.275,  1.245,  1.472,  1.170,  0.963,  0.238, -0.007, -0.269,  \
          -0.620, -0.691, -1.122, -0.659, -1.056,  0.083,  0.340,  0.129,  0.178, -0.004, -0.042, -0.876,  \
          -1.205, -0.971, -1.289, -0.959, -1.425, -1.794, -2.320, -2.286, -1.796, -1.773, -1.431, -1.147,  \
          -0.925, -0.317, -0.301, -0.257,  0.233, -0.338, -0.046, -0.184, -0.342, -0.125, -0.447,  0.513,  \
           1.335,  1.350,  2.173,  1.861,  2.725,  2.166,  1.818,  1.637,  0.627,  0.685, -0.343, -0.115,  \
          -0.607, -0.624,  0.284,  0.217,  1.050,  0.838,  1.322,  1.443,  1.460,  1.872,  1.826,  1.750,  \
           1.281,  1.383,  0.994,  1.027,  1.435,  1.152,  1.466,  1.545,  2.605,  1.810,  1.352,  1.422,  \
           1.559,  1.315, -0.105, -0.657, -0.143, -0.519, -1.383, -1.607, -1.999, -1.946, -2.943, -2.855,  \
          -1.745, -1.583, -0.755, -0.486, -0.879,  0.042, -0.200,  0.108, -0.002, -0.349,  0.317, -0.210,  \
          -0.241, -0.125, -0.522, -0.156, -0.335, -0.401, -0.850, -1.182, -0.111, -0.099, -0.097,  0.336,  \
           0.677,  0.892, -0.148,  0.580,  0.056,  0.479,  0.473,  0.099,  0.192,  0.364,  0.537, -0.260,  \
          -0.266,  0.200,  0.127, -0.668, -1.204, -1.156, -1.423, -2.134, -1.307, -0.175,  0.131,  0.331,  \
           0.967,  1.512,  1.109,  0.268,  0.677,  1.870,  1.966,  1.799,  1.994,  1.612,  1.360,  0.051,  \
          -0.429, -0.192, -0.559, -0.909, -1.296,  0.218, -0.073, -0.362, -0.073,  0.582,  0.925,  0.043,  \
           0.260,  0.885,  0.678, -0.118,  1.673,  2.256,  2.391,  2.113,  2.571,  2.737,  1.848,  0.920,  \
           1.326,  1.736,  1.433,  0.851,  1.219,  2.348,  2.049,  1.926,  2.006,  2.162,  2.028,  0.896,  \
           1.350,  1.637,  1.526,  0.053,  0.567,  0.483,  0.332, -0.342, -0.769, -0.206, -0.804, -1.263,  \
          -1.585, -1.193, -1.164, -2.018, -1.942, -1.264, -1.581, -1.436, -1.383, -0.921, -0.784, -0.663,  \
          -0.521, -0.322, -0.153,  0.242,  0.635,  0.772,  1.156,  0.791,  0.980,  0.431,  0.364, -0.098,  \
          -0.398,  0.151, -0.129,  0.053, -0.818, -0.079, -0.224,  0.513,  0.440,  0.421,  0.578,  0.579,  \
           0.392, -0.985, -1.387, -1.445, -1.067, -1.371, -0.966, -0.926, -1.066, -1.089, -1.004, -1.047,  \
          -1.578, -1.597, -1.578, -2.201, -1.475, -0.857, -0.547, -0.463, -0.346, -0.085, -0.421, -0.725,  \
          -0.839, -0.470, -0.719, -0.131,  0.529,  0.748,  0.447,  0.918,  1.116,  0.583,  0.349,  0.022,  \
           0.572, -0.203, -0.512, -0.117,  0.533,  0.093, -0.354, -0.508,  0.065, -0.079, -0.425,  0.056,  \
           0.431,  0.985,  0.930,  1.614,  1.369,  1.002,  0.598,  0.264,  0.004,  0.063, -0.096, -0.223,  \
           0.129, -0.133, -0.212,  0.440,  0.529, -0.025, -0.121, -0.331,  0.096, -0.360, -0.575,  0.139,  \
           0.120,  0.603,  0.136,  0.454,  0.322,  0.081,  0.197, -0.001, -0.097, -0.431,  0.464,  0.503,  \
           0.255,  0.803,  1.149,  1.037, -0.306, -0.737, -0.921,  0.107,  0.774,  0.611,  0.964,  1.403,  \
           1.537, -0.253, -1.197,  0.522,  0.991,  1.260,  1.044,  1.073,  0.620, -0.085, -0.194, -1.030,  \
           0.577,  1.711,  2.473,  2.702,  1.944,  2.041,  1.058,  0.265, -0.271, -0.553, -0.024, -0.394,  \
          -0.329, -0.382, -0.057,  0.191,  0.250, -0.322,  0.034, -0.021, -0.230, -0.603, -0.846, -0.844,  \
          -1.268, -1.414, -1.573, -0.708, -0.792, -1.107, -0.452, -0.633, -0.831, -0.921, -0.901, -0.097,  \
          -0.594, -0.230,  0.490,  0.715,  0.105, -0.296, -0.859, -0.888, -1.684, -2.436, -2.077, -1.656,  \
          -1.051, -1.096, -0.071,  0.532,  0.683, -0.694, -1.417, -1.836, -1.854, -1.666, -1.500, -0.511,  \
           0.053,  0.545,  0.185, -0.102, -0.130,  0.613,  1.151,  1.888,  1.473,  1.155,  0.857, -0.009,  \
          -1.148, -2.373, -2.079, -2.016, -2.559, -2.130, -1.787, -1.549, -1.907, -2.413, -2.008, -1.649,  \
          -1.969, -2.151, -2.088, -1.631, -0.947, -1.077, -1.062, -0.676, -0.927, -1.133, -1.488, -1.600,  \
          -1.240, -1.480, -1.046, -0.887, -0.471, -0.170, -0.303, -0.227, -0.197,  0.333,  0.037, -0.076,  \
          -0.057, -0.078, -0.166, -0.477, -0.876,  1.100,  0.891,  0.966,  0.771,  0.262,  1.190, -0.539,  \
           0.329,  0.291,  0.637,  1.309,  0.444,  0.101, -0.685, -0.931, -1.474, -1.369, -1.701, -1.514,  \
          -1.072, -0.458, -0.078, -0.000,  0.031, -0.604, -1.089, -1.462, -0.790, -0.732, -0.054,  0.840,  \
           1.264,  1.223,  0.894,  1.049,  0.110,  0.707,  0.669,  1.157,  0.891,  1.156,  1.295,  0.616,  \
           0.562, -0.081,  0.385, -0.340,  0.097,  0.519,  0.009,  0.079, -0.277,  0.287, -0.017, -0.693,  \
           0.009, -0.323, -0.132, -1.019, -0.669,  0.654,  0.455,  0.627,  0.732,  0.430,  0.497,  0.080,  \
           0.021,  0.762,  1.320,  1.474,  1.072, -0.695, -0.902, -1.810, -1.430, -1.597, -0.634,  0.228,  \
           0.605,  0.627, -0.339,  0.079, -0.971, -0.363, -0.882, -0.428, -0.034,  1.160,  1.309,  1.282,  \
           1.527,  1.333,  0.986, -0.356, -1.197, -0.621, -0.829, -0.608, -0.989, -0.608, -0.298, -0.407,  \
          -0.232, -0.913, -0.300, -0.726, -0.372, -0.779, -0.357,  0.398,  0.669,  0.973,  0.978,  1.396,  \
           1.095,  0.841,  0.203, -1.016, -0.734,  0.431,  0.876,  0.329,  0.050, -0.165, -0.241, -1.394,  \
          -1.994, -1.679, -0.983,  0.152,  0.628,  0.214, -0.271,  0.033,  0.035, -0.529, -0.664, -0.532,  \
           0.103,  0.017, -0.661,  0.222, -1.011, -2.050, -1.671, -1.615, -1.492, -1.730, -1.386, -0.570,  \
          -1.216, -1.559, -1.321, -1.311, -1.483, -0.184, -0.438,  0.207,  0.290,  0.111,  0.207, -0.494,  \
          -0.412, -0.779, -1.527, -1.424, -1.117, -1.234, -0.440, -0.485, -0.270, -0.602, -0.535, -0.219,  \
          -1.013, -0.841, -1.207,  0.224,  0.234,  0.693,  0.741, -0.072,  0.066, -0.180, -0.443, -1.324,  \
          -1.487, -0.848, -0.916, -0.864, -1.461, -1.320, -1.244, -0.645, -0.975, -1.136, -0.659, -0.666,  \
          -0.805, -1.478, -1.418, -2.076, -1.052, -0.424, -0.549, -0.672, -0.617, -1.016, -1.056, -1.161,  \
          -0.779,  0.054,  0.345,  1.545,  0.605, -0.377, -0.480, -0.836, -0.105, -0.527,  0.065,  0.832,  \
           1.243,  0.743, -0.369, -0.201, -1.072, -1.472, -1.883, -0.759, -0.492,  0.630,  0.906,  1.234,  \
           1.059,  0.408, -0.075, -0.161,  0.819,  0.792,  1.080,  1.369,  1.341,  0.438, -0.212, -0.399,  \
          -1.009, -1.593, -1.439, -0.756,  0.326,  0.157,  0.734,  0.394,  0.141, -0.558, -0.767, -0.786,  \
          -1.111, -0.767, -0.592, -0.247, -1.691, -1.124, -1.184, -1.579, -1.917, -1.981, -1.654, -1.938,  \
          -2.161, -1.468, -1.436, -0.542, -1.413, -1.250, -0.960, -0.949, -0.581, -1.308, -0.695,  0.104,  \
           0.641,  0.686,  0.409,  0.839,  0.529, -0.411, -1.651, -1.602, -1.721, -1.783, -2.013, -2.350,  \
          -1.687, -1.947,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN,  np.NaN ])

    # array of expected SPEI/gamma values at 6-month scale corresponding to the fixture array of 
    # precipitation values and temperature values, and using a calibration period of 1981 - 2010 (the default)
    fixture_spei_6_month_gamma = np.array(
        [ np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, 0.71824, 0.70785, 0.33452, 0.16317, -0.22781, -0.38073, -0.16792, 
         0.12962, 0.27097, 0.54272, 0.21255, -0.31207, 0.49932, 0.24304, -0.18691, -0.31300, -0.31025, -0.10923, -0.97052, 
         -0.99769, -0.48518, -0.65987, -0.07868, -0.51086, -0.64672, -0.16973, -0.21561, 0.79063, 0.65696, 0.87830, 1.31118, 
         0.65161, 0.47464, -0.87516, -1.28643, -1.71464, -1.83502, -1.45934, -0.52828, -0.06919, 0.69394, 1.20902, 2.04755, 
         2.22734, 2.04580, 1.85717, 1.45056, 0.56809, 0.38184, 0.26894, -0.50781, -0.14165, -0.10263, 0.28768, 0.21361, 
         0.34060, 0.78128, 1.32962, 1.30237, 1.94267, 1.60986, 1.48331, 1.05814, 0.15099, -0.24167, -0.63964, -0.50714, 
         -0.54347, -0.20499, 0.46595, 0.85297, 0.97921, 1.04192, 1.00119, 1.55176, 1.17216, 0.48632, 0.44132, 0.07468, 
         0.04379, -0.15583, -0.15580, 0.53810, -0.07074, -0.42397, -0.63494, -1.51654, -1.20495, -0.35184, -0.06552, 0.20347, 
         0.90992, 1.64960, 2.16204, 0.99296, 0.77912, 0.42824, 0.14476, -0.29774, -0.42520, -0.60765, -0.12869, 0.02842, 
         0.20468, 0.35055, -0.07899, 0.42960, -0.04360, 0.33266, -0.03264, -0.13177, -0.44627, 0.43473, 0.75931, 0.32351, 
         0.41139, 0.32794, 0.79576, -0.14678, -0.40290, -0.70721, -0.21369, 0.30141, 0.15192, -0.29419, -0.61871, 0.34989, 
         0.13138, -0.14315, 0.24279, 0.51073, 1.31312, 0.91315, 0.86571, 1.20615, 0.42231, 0.38804, -0.09378, -0.77352, 
         -1.24244, -1.91589, -1.72166, -1.71556, -0.82205, -0.56926, -0.50325, -0.46450, -0.17086, -0.48338, -1.02295, -0.91486, 
         -0.78403, -0.70884, -1.09038, -0.93607, -0.94899, -0.95662, -1.13870, -0.71616, 0.40411, 0.72537, 0.90292, 0.89967, 
         1.00256, 0.42595, -0.82010, -0.79547, -0.45342, -0.09109, 0.13673, 0.83587, 0.56004, 0.29928, -0.04723, -0.02551, 
         -0.22797, -0.89622, -0.62098, -0.70551, -0.32933, -0.25721, -0.37218, -0.24838, -0.14057, 0.91693, 0.87255, 0.92414, 
         0.91984, 0.57671, 0.41612, -0.89026, -0.04879, -0.35558, 0.25467, 0.54287, 0.47747, 0.15499, 0.40144, 0.79866, 
         0.76064, 0.94393, 1.29012, 1.90854, 1.25977, 0.90650, 0.46499, -0.12205, -0.13362, -0.03282, 0.57370, 0.59766, 
         0.75427, 1.17914, 1.15632, 1.34131, 0.48605, 0.54617, 0.24340, 0.14707, 0.07850, -0.61076, -0.33386, -0.54207, 
         -0.12112, -0.01088, 0.30799, 1.81918, 1.08647, 0.56927, 1.18392, 0.90866, 0.95302, 0.47819, 0.62044, 1.41253, 
         0.97361, 1.55553, 1.72596, 1.64765, 1.23607, 1.35240, 1.46223, 0.79521, 0.57730, 0.38413, 0.43050, -0.22541, 
         -0.79363, -0.26173, -0.35335, 0.22043, 0.20458, 0.59163, 1.19769, 0.91856, 0.48306, 0.83068, 0.95011, 0.49810, 
         -0.10615, 0.03117, 0.82934, 0.03548, -0.30355, -0.20305, 0.07431, 0.26132, 0.64973, 0.44501, 0.49055, 0.62760, 
         0.64409, 0.30851, -0.37959, 0.13969, 0.19063, 0.23921, 0.12792, 0.11882, -0.07456, -0.39719, -0.48814, -0.56141, 
         -0.56990, -0.11509, 0.28310, 0.46086, 0.96416, 1.02271, 0.76682, 0.91765, 0.26993, -0.32756, -0.65538, -1.23766, 
         -1.08593, -1.36712, -1.05141, -0.06214, 1.33782, 0.58833, 1.17530, 0.60201, 1.03475, 0.74681, 0.10631, 0.68684, 
         -0.09511, 0.54382, 0.44147, 0.19657, -0.06828, -0.74135, -0.71080, -1.02660, -2.06163, -0.53442, -0.95477, -0.53225, 
         -0.48850, -0.38111, 0.29714, -1.36678, -0.23148, 0.06728, 0.27921, 0.82338, 1.67669, 3.01217, 2.96176, 3.09000, 
         3.05826, 2.47686, 1.56870, -0.48881, -0.36611, -0.20483, 0.05872, 0.24831, 0.33700, -0.05329, -0.39822, -0.65731, 
         -0.37642, -0.24435, -0.28227, 0.28395, 0.15855, -0.36510, -0.61195, -0.76280, -0.85970, -0.72411, -0.81537, -0.39782, 
         -0.14778, -0.17611, 0.44955, 0.20645, 1.36869, 1.09665, 0.60719, 1.10350, 0.06750, -0.71910, -1.23295, -0.84544, 
         0.02386, -0.70904, 0.10401, 1.26352, 0.78609, 0.46153, 0.40966, 1.30993, 1.98335, 1.66698, 1.95093, 1.76265, 
         1.20597, 0.43103, -0.56646, -0.45380, -1.25703, -1.36530, -1.28283, -1.60734, -1.55728, -1.13871, -0.76454, -0.34052, 
         -0.53142, -0.26219, -0.20531, -0.91504, -0.61642, -0.59339, -0.37608, 0.33022, 0.74943, 0.63058, 0.52548, 0.96145, 
         0.72239, -0.20524, -0.87880, -0.68105, -0.36084, -0.48985, -0.28083, -0.10439, 0.35976, 1.15246, 0.98464, 1.35370, 
         1.39529, 1.40297, 1.33824, 0.61088, 0.90457, 1.54572, 1.31331, 1.04833, 0.31763, 0.23994, 0.12174, -0.84346, 
         0.08180, 0.42328, 1.64402, 2.25278, 2.03740, 0.79716, -0.24301, -0.75419, -0.99669, -1.52552, -1.60912, -1.37902, 
         -0.88101, -0.71581, -1.12221, -1.09213, 0.38389, 0.72504, 0.26418, 0.97291, 0.62638, 0.97837, 0.45238, 0.18507, 
         0.58472, -0.20274, 0.52172, 0.63131, 0.29983, -0.06443, 0.27970, 0.81091, -0.02295, 0.72128, 0.72820, 1.17498, 
         0.91470, 0.57544, 1.45023, -0.12649, 2.01979, 1.60598, 1.49649, 1.44280, 1.57630, 0.96407, -0.73082, -0.87850, 
         -0.95749, -1.05540, -1.80522, -0.89564, -0.84367, -0.37387, -0.03828, -0.09725, 0.96184, 0.58904, 1.11342, 1.18190, 
         1.19397, 1.80530, 1.28127, 1.17099, 1.16350, 1.80129, 2.19126, 2.54456, 1.89451, 1.84710, 1.77005, 0.89810, 
         0.08057, -0.58525, 0.00068, -0.15168, 0.01459, -0.03768, 0.28708, 0.21180, 0.38376, 0.44028, 0.20635, 0.34534, 
         0.26946, 0.01066, -0.86738, -1.17915, -0.96749, -1.03611, -0.85820, -1.31850, -1.47561, -1.28246, -1.48115, -1.42306, 
         -1.65126, -1.17432, -0.89648, -0.75970, -0.65129, -0.76899, -0.48195, -0.42746, -0.68601, -0.11628, -0.16727, 0.36674, 
         0.12175, 0.41507, 1.17082, 0.53789, 0.30074, -0.35653, -0.21214, -0.17938, 1.00030, 0.63609, 0.78491, 1.48120, 
         1.58513, 2.06782, 1.14239, 2.68255, 2.21740, 1.39178, 1.63490, 0.54595, -0.10365, -0.94791, -0.36005, -0.17869, 
         -0.69621, 0.11027, 0.43531, 1.79591, 1.19025, 1.47345, 0.90551, 0.43554, -0.01023, -1.05185, -1.04096, -1.52605, 
         -1.06090, -0.79765, -0.50069, -0.14946, -0.35547, -1.15202, -0.83630, -0.74695, -0.85132, -0.02580, 0.65821, 1.22392, 
         1.10179, 0.79449, 0.90237, -0.44837, -0.80592, -1.31243, -0.94969, -0.78601, -0.80782, -0.30491, -0.76596, -0.07218, 
         -0.41595, -0.50756, -0.62117, -1.24143, -1.51467, -1.94432, -2.12936, -1.58286, -0.80134, -0.26355, 0.09595, 0.93295, 
         0.83564, 0.39962, -0.07316, -0.63049, -0.25609, -0.22473, 0.19524, 0.12285, -0.10604, -0.27075, -0.37694, -0.32539, 
         -0.81695, -0.28940, 0.01828, 0.25753, 0.05360, 0.84402, 1.62028, 1.81615, 1.49683, 2.48278, 2.72455, 2.40307, 
         2.05741, 1.24304, 1.46951, -0.00686, -0.35234, -1.05619, -1.16822, -0.49291, 0.46070, 0.78714, 0.75671, 1.31775, 
         0.94656, 0.13878, -1.06368, -1.57415, -0.88071, -0.56167, 0.50621, 0.98253, 1.07572, 1.38498, 1.80421, 2.19879, 
         1.19807, 0.92281, 0.68022, 0.03101, -0.76307, -1.54685, -0.96962, -0.76908, -1.00585, -0.46281, -0.38971, 0.77183, 
         0.33860, 0.31139, 0.58896, 0.51614, 0.02150, -1.01513, -0.81184, -0.80911, -1.05899, -1.47392, -1.36921, -0.97711, 
         -1.40614, -1.30990, -0.72808, -0.64519, -0.72926, -0.83489, -0.50243, -0.70157, -1.27290, -0.46940, -0.45652, -0.05613, 
         0.26225, 0.38425, 0.89103, -0.30466, -0.73828, 0.27874, 0.20690, 0.25943, 0.69734, 1.01947, 1.54833, 0.88418, 
         0.39861, 0.56321, 0.55836, 0.77556, 1.34350, 1.29913, 1.56573, 1.20201, 0.96738, 0.15738, -0.09084, -0.34434, 
         -0.63835, -0.70096, -1.12309, -0.72146, -1.04643, 0.00020, 0.28830, 0.09234, 0.17548, -0.08569, -0.12598, -0.89823, 
         -1.21927, -0.98435, -1.26620, -0.95688, -1.32478, -1.62226, -2.07422, -2.15624, -1.79760, -1.57487, -1.34504, -1.12681, 
         -0.94222, -0.32202, -0.36472, -0.37168, 0.13653, -0.41458, -0.11057, -0.22447, -0.34662, -0.20340, -0.51433, 0.45679, 
         1.36678, 1.36871, 2.45059, 2.16270, 3.09000, 2.49111, 1.98965, 1.72555, 0.62836, 0.63212, -0.41673, -0.19369, 
         -0.62577, -0.63330, 0.22872, 0.09325, 1.06365, 0.81848, 1.38766, 1.50595, 1.47171, 2.05294, 2.02315, 1.92300, 
         1.31039, 1.40220, 1.00899, 1.02236, 1.54983, 1.18647, 1.55882, 1.62111, 2.63779, 1.97212, 1.42263, 1.50997, 
         1.60239, 1.33300, -0.17126, -0.71972, -0.24376, -0.58315, -1.34360, -1.56969, -1.99917, -1.69418, -2.32397, -2.31604, 
         -1.74765, -1.60390, -0.79456, -0.57528, -0.90403, -0.04108, -0.26447, 0.07128, -0.00546, -0.41600, 0.24176, -0.28711, 
         -0.25746, -0.12797, -0.57773, -0.27735, -0.42635, -0.47428, -0.87954, -1.18486, -0.11468, -0.17810, -0.17970, 0.26696, 
         0.68109, 0.90389, -0.21453, 0.48771, -0.04574, 0.41733, 0.42991, 0.06234, 0.18939, 0.28837, 0.47719, -0.33530, 
         -0.28302, 0.20179, 0.06459, -0.72858, -1.16115, -1.13517, -1.37733, -2.02772, -1.31202, -0.25163, 0.04823, 0.26152, 
         0.98193, 1.53307, 1.14087, 0.14647, 0.62218, 2.09223, 2.17511, 1.91111, 2.01409, 1.72218, 1.43195, -0.02849, 
         -0.44670, -0.19582, -0.61209, -0.91874, -1.23023, 0.13903, -0.13726, -0.40090, -0.07648, 0.51961, 0.91359, -0.03661, 
         0.25189, 0.89696, 0.65350, -0.24132, 1.86471, 2.61540, 2.72307, 2.27650, 2.60295, 3.09000, 2.05267, 0.91193, 
         1.35773, 1.76158, 1.52470, 0.80546, 1.27286, 2.74384, 2.28021, 2.05755, 2.02656, 2.43409, 2.29171, 0.88356, 
         1.38222, 1.66074, 1.63633, -0.07390, 0.49834, 0.42130, 0.27963, -0.38174, -0.77441, -0.28137, -0.83341, -1.22144, 
         -1.59184, -1.20959, -1.15960, -1.62404, -1.67229, -1.22223, -1.50705, -1.41642, -1.38751, -0.92061, -0.81647, -0.71034, 
         -0.53985, -0.32777, -0.21873, 0.11944, 0.57503, 0.74275, 1.19310, 0.78864, 0.98526, 0.35814, 0.29181, -0.17711, 
         -0.41570, 0.15160, -0.19470, -0.07471, -0.85344, -0.16293, -0.28811, 0.49193, 0.43925, 0.34778, 0.52281, 0.52810, 
         0.38764, -0.99889, -1.34892, -1.29339, -1.05534, -1.30681, -0.98324, -0.94586, -1.07124, -1.05812, -1.00396, -1.04419, 
         -1.58496, -1.61754, -1.50647, -1.71513, -1.36086, -0.88456, -0.59936, -0.50074, -0.35140, -0.16526, -0.48957, -0.76567, 
         -0.85725, -0.47732, -0.76199, -0.25339, 0.45569, 0.71585, 0.40130, 0.92525, 1.12243, 0.52151, 0.27574, -0.05771, 
         0.57217, -0.20666, -0.56785, -0.24067, 0.46090, 0.00982, -0.41440, -0.54497, 0.06168, -0.15933, -0.49371, -0.02292, 
         0.42798, 0.99860, 0.93554, 1.80474, 1.46310, 1.00835, 0.56485, 0.23176, 0.00097, -0.01957, -0.17939, -0.29987, 
         0.11837, -0.13541, -0.27761, 0.33117, 0.45607, -0.10887, -0.18614, -0.37051, 0.09334, -0.42550, -0.63100, 0.06141, 
         0.10927, 0.61073, 0.07429, 0.34658, 0.23029, -0.00212, 0.13847, -0.04009, -0.10141, -0.49133, 0.39820, 0.44543, 
         0.24705, 0.81340, 1.18764, 1.03497, -0.39933, -0.77976, -0.94340, 0.07032, 0.77702, 0.55132, 0.95848, 1.48706, 
         1.57988, -0.25777, -1.18767, 0.42308, 0.99170, 1.31810, 1.06366, 1.09448, 0.62138, -0.16448, -0.27437, -1.02950, 
         0.57830, 1.73591, 2.84534, 3.09000, 2.24006, 2.32172, 1.07997, 0.23257, -0.27597, -0.60204, -0.10793, -0.46311, 
         -0.34604, -0.38856, -0.12249, 0.06647, 0.15381, -0.39889, -0.03004, -0.06023, -0.23459, -0.64641, -0.87007, -0.87023, 
         -1.28201, -1.43235, -1.50292, -0.76152, -0.83175, -1.09504, -0.50904, -0.66595, -0.83641, -0.92041, -0.91706, -0.17628, 
         -0.61256, -0.23407, 0.44774, 0.64364, 0.00346, -0.37427, -0.88747, -0.91006, -1.68610, -2.00709, -1.80542, -1.52611, 
         -1.06795, -1.11126, -0.13664, 0.43337, 0.62944, -0.74163, -1.37191, -1.77139, -1.85486, -1.49881, -1.39704, -0.57168, 
         0.04059, 0.55199, 0.12431, -0.22565, -0.23119, 0.56485, 1.18650, 2.01392, 1.48455, 1.16699, 0.83539, -0.08891, 
         -1.16329, -2.40162, -1.89843, -1.62299, -2.02468, -1.85330, -1.67161, -1.51802, -1.90774, -1.99262, -1.75962, -1.52140, 
         -1.96476, -2.17775, -1.90498, -1.40804, -0.95940, -1.07076, -1.06820, -0.70736, -0.93296, -1.09391, -1.38795, -1.48412, 
         -1.25428, -1.49980, -1.05676, -0.90206, -0.55171, -0.25243, -0.36557, -0.26764, -0.20171, 0.25576, -0.04709, -0.15508, 
         -0.07123, -0.07973, -0.23156, -0.56760, -0.90100, 1.12486, 0.88914, 0.97736, 0.77330, 0.18191, 1.22605, -0.59715, 
         0.32288, 0.29437, 0.60782, 1.38679, 0.36256, 0.01828, -0.72868, -0.95081, -1.47789, -1.27908, -1.54510, -1.41913, 
         -1.08789, -0.46498, -0.14369, -0.12722, -0.07130, -0.66120, -1.09168, -1.44017, -0.79584, -0.75969, -0.13730, 0.82065, 
         1.29189, 1.23970, 0.89418, 1.04929, 0.00885, 0.66983, 0.64248, 1.18747, 0.89530, 1.16857, 1.35279, 0.56869, 
         0.56237, -0.08293, 0.33499, -0.44742, -0.00401, 0.46061, -0.05476, 0.04147, -0.28137, 0.20804, -0.10112, -0.73728, 
         -0.00359, -0.32793, -0.19835, -1.00094, -0.72648, 0.60987, 0.40975, 0.61251, 0.73408, 0.35748, 0.43363, 0.00082, 
         0.00810, 0.77213, 1.38906, 1.61053, 1.09076, -0.74277, -0.92629, -1.74924, -1.43389, -1.44896, -0.68399, 0.15301, 
         0.60705, 0.63538, -0.40154, -0.04816, -0.97906, -0.43811, -0.90813, -0.46670, -0.03734, 1.17329, 1.36973, 1.33876, 
         1.56931, 1.35190, 0.99955, -0.46143, -1.15583, -0.67665, -0.86052, -0.64139, -0.99482, -0.65069, -0.37469, -0.47544, 
         -0.24868, -0.92618, -0.36391, -0.77588, -0.46102, -0.81671, -0.41733, 0.37128, 0.67006, 0.95625, 0.97477, 1.47806, 
         1.11555, 0.85249, 0.14379, -0.99895, -0.78229, 0.36576, 0.87290, 0.29952, 0.04674, -0.24221, -0.31988, -1.32591, 
         -1.98831, -1.70106, -1.00060, 0.02571, 0.56656, 0.13469, -0.33404, -0.00512, 0.03198, -0.58009, -0.71100, -0.59097, 
         0.09219, 0.01600, -0.70766, 0.09819, -1.01057, -1.79973, -1.57955, -1.57702, -1.49609, -1.54429, -1.31005, -0.62598, 
         -1.23071, -1.57980, -1.29338, -1.20556, -1.36652, -0.26578, -0.49612, 0.17268, 0.28855, 0.02889, 0.12692, -0.55601, 
         -0.43036, -0.79040, -1.46545, -1.27980, -1.09463, -1.19859, -0.49777, -0.52184, -0.27516, -0.64562, -0.59448, -0.29559, 
         -1.02949, -0.85313, -1.19642, 0.09996, 0.13746, 0.65391, 0.72241, -0.11137, 0.06261, -0.25682, -0.51011, -1.27038, 
         -1.49634, -0.86007, -0.94121, -0.88415, -1.35035, -1.26661, -1.22556, -0.67736, -0.98033, -1.09599, -0.70683, -0.71318, 
         -0.82364, -1.49749, -1.37516, -1.65360, -1.04384, -0.49518, -0.60122, -0.70395, -0.62276, -0.99916, -1.04658, -1.13820, 
         -0.79703, 0.05323, 0.29276, 1.70857, 0.54142, -0.45159, -0.53594, -0.86047, -0.10880, -0.57795, -0.01817, 0.81140, 
         1.26996, 0.75217, -0.43087, -0.31993, -1.05889, -1.38449, -1.74649, -0.78687, -0.49757, 0.57277, 0.89165, 1.28071, 
         1.07819, 0.41306, -0.14087, -0.28200, 0.78752, 0.76551, 1.10453, 1.42262, 1.35082, 0.36580, -0.29231, -0.46751, 
         -1.02542, -1.61370, -1.39275, -0.79986, 0.23452, 0.07576, 0.71444, 0.36743, 0.13834, -0.60578, -0.80187, -0.81980, 
         -1.12705, -0.77845, -0.64384, -0.36203, -1.50951, -1.10955, -1.17475, -1.54497, -1.91825, -1.71760, -1.51152, -1.73107, 
         -2.14971, -1.48782, -1.39032, -0.62391, -1.31647, -1.21119, -0.97815, -0.96708, -0.58660, -1.23142, -0.73810, 0.02569, 
         0.64385, 0.69472, 0.36053, 0.79117, 0.45645, -0.48280, -1.56355, -1.56522, -1.72289, -1.58167, -1.76307, -2.00846, 
         -1.69154, -1.97184, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN])

    #=================================================================================================================
    # Fixtures below are initially relevant to the test of the Palmer code (palmer.py).
    
    # expected Z-Index computed from palmer.pdsi() function using monthly precip, PET, and AWC= 4.5 as inputs, 
    # with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_zindex_monthly = np.array([
        -1.020,  1.631, -0.828,  1.453,  0.802, -8.602,  0.291,  0.476,  0.226,  1.368,  0.415, -0.219,  \
         0.856, -0.302, -0.738, -0.703, -0.040,  8.376, -0.183, -1.259,  0.575, -1.228,  0.569,  0.011,  \
        -0.029,  0.975, -1.302,  0.602, -0.698,  0.716,  2.791, -2.360,  2.602,  0.977, -0.908,  0.132,  \
        -0.557, -0.153, -1.040, -0.547, -1.509, -0.975,  1.474,  1.723, -1.149,  4.663, -0.343,  0.408,  \
         0.044,  1.927, -1.001,  0.981, -3.831,  3.176,  0.598, -0.365,  3.006,  2.586, -1.352, -0.018,  \
         0.901,  0.201,  1.429,  0.709,  0.753, -6.114,  0.426, -0.593, -0.274,  1.040, -0.214,  0.885,  \
        -0.749, -0.395,  0.132, -0.058,  1.240, -1.138,  0.102,  4.308, -2.879, -3.039, -0.112,  0.558,  \
        -1.163,  2.273, -0.820, -0.276, -1.258,  1.264, -0.575, -1.615,  2.701,  5.135, -0.863,  0.338,  \
         1.281,  0.568,  1.069, -0.926, -0.523,  1.806,  0.481, -0.485,  3.462, -2.435,  1.378, -0.105,  \
        -0.066, -0.837, -0.333, -0.252,  0.622,  5.872, -0.638, -0.447, -0.756,  7.124,  0.526, -0.426,  \
        -0.222, -0.609, -0.283,  0.532,  1.437, -0.938,  2.639, -1.223, -3.415, -1.550, -0.920,  1.554,  \
        -0.088, -0.549, -0.181, -0.488,  2.788, -3.563,  0.787, -0.428, -6.219,  0.836, -0.619, -0.430,  \
        -0.504, -0.384, -1.201, -0.324,  3.143, -7.703, -0.557, -0.261,  1.413, -2.442, -0.169,  0.489,  \
        -0.808, -0.620, -1.006, -0.643,  0.250,  1.839, -0.538,  2.339,  3.110,  0.893, -0.522, -0.436,  \
        -0.055, -0.442, -0.539,  0.555,  2.013, -6.411,  0.736,  1.901, -4.496,  1.157, -1.251,  0.212,  \
        -0.023,  0.100, -0.460, -0.555,  1.184, -1.006, -0.741,  0.842, -2.067,  6.730, -0.938, -0.116,  \
        -0.549, -0.701, -0.666,  0.370,  3.339, -9.395,  2.385, -2.510, -3.313, -0.852,  3.739, -0.181,  \
         1.455,  0.047, -0.353,  0.724,  2.665, -7.466, -0.631, -1.620,  1.787,  2.201,  3.864, -0.545,  \
         0.202,  0.337, -0.385,  0.982,  0.704, -6.849, -1.616, -0.197,  0.665, -2.280,  3.318, -0.506,  \
         0.349, -0.614, -0.052,  2.151, -0.083, -9.806,  3.698, -4.430,  2.856,  1.662,  0.964,  0.566,  \
        -0.179,  0.172, -0.093, -0.153,  1.307, -1.484,  1.417, -5.252,  1.759, -0.060, -0.084, -0.257,  \
        -0.411,  0.311, -0.435,  0.922, -0.646, -3.537,  1.942, -4.267, -1.046,  6.524,  0.131, -0.550,  \
        -0.347, -0.345,  0.487,  0.256,  0.046,  1.749,  0.613, -0.729,  1.498,  0.414, -1.160, -0.111,  \
         0.476, -1.639,  0.067,  1.232, -1.520,  2.980, -0.051, -0.997,  0.871,  0.618, -1.047,  0.240,  \
         0.206,  0.856,  0.136,  0.089,  2.141, -4.212, -1.211,  2.194, -4.997, -1.289,  0.005, -0.130,  \
        -0.027,  0.525, -0.903,  0.804,  5.866, -10.959,  3.019, -5.643,  4.234,  0.165,  0.736, -0.142,  \
        -0.572,  0.582,  0.490, -0.868,  1.024, -12.052, -0.243, -1.079, -3.264,  9.583, -1.671, -0.271,  \
        -0.200, -0.392, -0.998,  0.242,  3.229, -6.020,  0.572,  2.249,  2.195, 11.622,  0.202, -0.401,  \
        -0.633, -0.356, -0.845,  1.015,  0.120, -6.906,  0.325,  0.571,  0.708, -0.484, -1.237, -0.449,  \
         1.410, -0.259, -0.970,  0.982, -1.893, -2.639,  1.083,  0.300,  0.231,  3.045, -1.565, -0.356,  \
         1.554, -0.974,  0.713,  0.167,  3.906, -7.930, -0.860,  3.043, -6.976, -2.558,  0.885,  0.896,  \
         1.362, -1.497, -0.579,  0.301, -0.008,  4.345,  2.706,  1.477,  2.251,  0.037, -0.475, -0.507,  \
        -0.030,  0.747, -0.806,  0.163, -2.093, -2.043,  0.837, -1.082,  1.085,  2.365, -1.024, -0.253,  \
        -0.227,  0.249, -0.209, -0.501,  0.996,  0.728,  1.185,  4.139,  0.479, -0.936, -0.367,  0.311,  \
        -1.160, -0.194, -0.247, -0.100,  1.400, -7.767,  0.327,  0.525,  4.412,  5.745, -1.131,  0.331,  \
         0.044, -0.345,  0.596,  0.784, -0.620,  0.306, -0.952, -0.888, -1.043,  3.251, -0.956,  0.152,  \
         2.442, -0.597,  0.943,  1.717, -1.947, -3.135, -1.397, -2.135,  2.926,  0.069, -0.975, -0.544,  \
         0.620, -1.819, -0.346, -0.076,  5.479, -5.632, -1.731,  2.745, -4.454,  4.693,  0.719, -0.598,  \
         0.016, -0.777,  0.564,  1.542, -0.595, -10.428,  1.934, -1.357, -6.011, 10.190, -0.586, -0.348,  \
         0.177,  0.040, -0.088,  0.510,  9.055, -7.603, -0.693, -0.004,  3.267, -1.901, -0.854, -0.285,  \
        -0.466, -0.401, -0.884,  1.110, -2.029,  3.651,  0.861, -4.037,  7.287,  0.374,  0.692, -0.211,  \
         0.568,  0.628,  0.567, -0.639,  2.337,  0.582,  2.448,  1.263, -3.673,  0.577, -0.188, -0.250,  \
        -0.621,  0.949,  0.369, -0.560,  1.674, -8.071,  0.413,  0.879,  0.651,  0.291, -1.005, -0.156,  \
         0.006, -0.312, -0.790, -0.648,  0.889, -0.213,  1.170, -3.069, -0.864,  0.867, -0.771, -0.151,  \
         0.326, -0.403, -0.468,  0.058,  0.644, -0.045,  2.081, -3.779, -0.677,  5.285, -0.947,  0.548,  \
        -0.715, -0.489, -0.028, -0.159, -0.549, -0.533,  1.739, -2.206,  6.492, -1.386, -0.531,  0.551,  \
         0.006,  1.353,  1.108,  2.374, -3.216,  1.058,  2.802, -5.982,  0.850, -0.387,  0.826, -0.002,  \
         0.265,  0.689, -0.213,  2.563, -1.644,  7.119, -2.593, -1.469, -0.352, -0.348,  0.074,  1.018,  \
        -1.180, -0.278, -0.295, -0.345,  0.009, -1.615,  1.670, -3.028,  0.629,  4.858,  1.868, -0.539,  \
         0.358, -1.859, -0.609, -0.703,  2.028, -12.706,  2.709, -3.814,  0.426,  1.615, -1.447, -0.093,  \
         0.677, -1.714, -0.946, -0.472, -1.453, -3.404,  0.515,  1.781,  0.715,  2.357, -0.772,  0.006,  \
        -0.292, -0.263,  0.170, -0.226,  1.995, -7.176,  1.411, -4.081,  0.825, -1.300,  0.811,  0.087,  \
        -0.542,  1.112, -0.195, -0.150,  0.736,  9.196,  3.151, -0.222, -2.985,  7.796, -0.260,  0.501,  \
        -0.158, -1.710, -0.203,  0.400, -0.364, -2.272,  1.093,  2.532,  3.546,  3.457, -1.797, -0.390,  \
        -0.809, -0.903, -0.116,  0.690,  1.317, -7.640,  3.854, -1.984, -1.194,  4.463,  1.263, -0.156,  \
        -0.613, -0.086, -0.456,  0.336,  0.017, -4.651,  2.117, -2.399, -4.533,  5.901, -0.845,  0.518,  \
        -1.315,  0.385, -1.054,  1.864, -3.088, -3.781,  1.179,  0.677, -2.706,  1.885, -1.338, -0.571,  \
        -0.498,  0.789, -0.160,  0.199, -0.491, -1.534,  1.298, -0.027, -1.562,  7.026, -1.443, -0.256,  \
         1.777, -0.595, -0.824, -0.095, -1.814,  8.162,  1.827, -2.433, -0.270,  2.701, -0.851, -0.199,  \
        -0.213,  1.113,  0.352,  1.620,  0.952, -5.694,  0.710, -0.931,  2.250, -1.480,  0.530, -0.276,  \
        -0.281, -0.534, -0.718,  0.089, -0.012,  8.089,  0.878, -4.988,  1.281, -1.304, -0.770,  0.255,  \
        -0.130, -0.364, -0.878, -0.046, -1.623, -1.590, -1.607, -1.225,  2.093,  0.760, -1.278, -0.276,  \
        -0.642,  1.403, -0.333,  0.329,  1.989, -11.693,  0.967,  1.088, -2.656,  1.460, -0.807,  0.914,  \
         2.176, -0.534,  1.763, -0.580,  5.668, -5.343,  1.547, -3.574, -0.785,  1.387, -1.135,  1.358,  \
        -1.188, -0.034,  0.942, -0.694,  3.634, -3.322,  2.440, -2.846,  2.717,  4.611,  1.060, -0.118,  \
        -0.476,  0.568, -0.849,  2.035,  2.785, -6.576,  1.088, -1.918,  4.823,  1.277, -0.391, -0.270,  \
         0.824, -1.054, -0.567, -0.854,  2.462, -10.581, -2.012, -1.461, -2.252,  0.938, -1.207, -0.329,  \
         0.424, -1.327,  0.192,  0.115, -1.443,  6.372, -0.534,  1.167, -2.001, -2.120,  1.251, -0.352,  \
        -0.256,  1.200, -1.475, -0.632,  1.584, -7.950, -2.161, -0.015,  6.434, -1.319,  0.851,  0.464,  \
        -1.500,  0.616, -1.053,  0.865, -0.641,  8.175, -0.583, -1.033,  1.517,  2.549, -0.575, -0.044,  \
        -0.147,  1.018, -1.003, -0.568, -1.241,  0.109, -0.957, -2.427,  4.678,  5.490, -0.695, -0.253,  \
         1.347, -0.858, -0.040,  0.185,  2.428,  4.812,  1.929, -4.325,  3.361,  0.093, -1.290, -0.094,  \
         0.307,  0.060, -0.231, -0.814, -1.276, 10.389, -1.161, -1.405,  3.512,  2.883, -0.761,  0.214,  \
         0.118,  1.116, -0.540, -0.765,  8.585,  2.685,  0.363, -0.600,  4.917,  5.157, -0.866, -0.392,  \
         1.684, -0.172, -0.003,  0.574,  2.532,  6.112, -0.393,  0.268,  3.353,  5.969, -0.854, -0.037,  \
         1.083, -0.024, -0.164, -1.124,  2.626, -6.644,  0.674, -2.155, -0.226,  2.248, -1.407, -0.451,  \
        -0.326, -0.238, -0.791, -0.780, -0.501,  1.474, -1.633, -0.008,  0.441,  1.381, -0.860,  0.483,  \
        -0.625,  0.797, -0.777,  1.340,  0.288, -3.845,  1.241, -4.430,  2.753, -0.920,  0.881, -0.349,  \
         0.414,  0.913, -0.828, -0.393, -1.286,  5.715, -0.243,  5.962, -3.033, -0.802, -0.988,  0.967,  \
        -1.519, -0.630, -1.109, -0.319,  0.084,  1.473,  0.910, -0.666, -1.202,  0.496,  0.033,  0.019,  \
        -0.766, -0.411, -0.953, -0.820,  1.896, -5.646,  0.043, -0.289,  0.994, -0.299, -1.150, -0.028,  \
        -0.062,  1.107, -1.420,  0.782,  0.977, -4.375, -1.672,  4.597, -2.381, -1.602,  0.419,  0.043,  \
         0.721, -0.573, -1.383, -0.208,  3.680, -9.456, -0.491, -0.015,  3.788, -1.625,  1.259,  0.216,  \
        -0.399,  0.807,  0.116,  0.712, -0.606, -2.161, -1.267,  0.884, -2.359,  1.970, -0.843,  0.085,  \
         0.439, -1.384, -0.584,  2.374, -0.981, -1.304,  0.716, -1.425,  3.945,  1.115, -1.189,  0.720,  \
        -0.723, -0.452, -0.841,  1.048, -2.236,  2.900,  1.068, -3.255,  0.711, -0.440,  2.668, -0.182,  \
        -0.073,  1.984, -0.385, -0.936, -0.795, -0.685, -0.136,  8.335,  2.825, -2.555,  0.257, -0.195,  \
        -0.415, -0.425,  0.467,  2.393,  1.362, -3.046, -1.925, -0.503, -0.132,  0.963,  1.572, -0.552,  \
         3.989,  2.777,  0.919,  0.468, -3.306,  6.113, -1.238,  0.446,  1.242, -0.540,  0.243,  0.416,  \
        -1.558,  0.165,  0.427, -0.108,  1.761, -9.633,  1.529, -3.256,  1.607, -2.752,  0.080, -0.478,  \
        -0.338, -0.517,  0.105,  0.208,  0.448, -2.448,  2.884, -4.855,  0.796, -0.216, -0.388,  0.452,  \
        -0.505, -0.824,  1.210, -0.337, -1.525,  0.766, -1.219,  0.011, -0.922, -1.310, -0.007,  1.031,  \
        -0.566, -1.050,  1.286, -0.790,  1.161, -4.476, -1.748, -2.447,  3.250,  0.806,  0.862, -0.125,  \
         0.390, -0.654, -0.617, -0.542,  2.111, -0.931,  3.420,  1.673, -5.855, -0.594, -0.547, -0.484,  \
        -0.590, -0.613, -0.152, -0.313, -1.728, -1.223,  0.375, -0.186, -1.207, -0.752, -0.390, -0.043,  \
        -0.882, -0.661, -0.369,  0.045,  1.650, -9.330, -0.890,  0.773, -4.393,  0.191, -0.151, -0.404,  \
         0.238, -0.234,  0.328, -0.184,  1.789, -7.022, -0.493,  0.151,  2.781,  2.606, -1.371, -0.201,  \
        -0.058,  0.112,  0.108,  0.401, -1.674, 15.466, -1.353,  0.688, -0.709, -2.476,  3.072, -0.658,  \
         2.296, -0.686,  0.213,  0.130,  0.275, -0.745, -0.373, -0.802, -1.061,  2.747, -1.581, -0.220,  \
         0.736,  0.762, -1.025,  0.666, -0.169, -2.557, -0.688,  0.124,  4.391,  1.041,  1.762,  0.493,  \
        -0.532, -1.260,  0.092,  0.667, -0.221,  9.325,  0.513,  3.055, -3.343,  4.091, -1.314, -0.125,  \
         0.272, -0.250,  0.308,  0.031,  1.659, -3.707, -2.167,  0.328,  0.622,  3.604, -1.421, -0.337,  \
         0.876, -1.736, -0.168, -0.028,  0.701, 10.383,  0.065, -0.005,  2.458, -2.036,  0.149,  1.645,  \
        -0.896,  2.736,  1.312, -1.091, -0.726, -5.015, -0.165, -0.912,  6.561, -2.289,  2.755, -0.518,  \
         1.019, -1.674, -0.444, -0.516,  0.135,  3.676, -1.030,  1.523,  0.015,  7.668, -0.619, -0.101,  \
        -0.235,  0.243, -0.141,  0.311, -1.952,  3.524, -1.210,  1.455, -4.772,  4.026, -1.516,  0.353,  \
        -0.608, -1.151,  0.238,  0.324,  0.630, -0.128,  2.215, -0.636,  0.468,  3.432, -0.856,  0.133,  \
         0.005,  0.945, -1.034, -0.890,  1.142,  9.625,  2.269, -5.230, -0.891, -2.060, -0.045,  0.321,  \
        -0.161, -0.310,  0.974,  0.156,  2.984, -8.433, -1.842,  1.254, -0.403, -3.028,  1.527, -0.270,  \
         0.567, -0.303, -1.367, -0.030, -1.861, -4.966,  2.263, -2.537, -3.745, -0.753, -0.571, -0.432,  \
        -0.320, -0.709,  0.215, -0.356, -0.894,  7.125, -1.406,  2.904, -0.717, -1.714, -0.853, -0.040,  \
        -0.609,  0.716, -1.200, -0.488,  0.056, -0.401,  2.936, -2.351, -1.971, -3.343, -0.160,  0.168,  \
        -0.154,  1.264, -0.969,  1.100, -1.146,  6.544, -0.057, -2.883,  1.965,  0.496, -1.617,  0.001,  \
        -0.520,  0.302,  0.106,  0.211, -2.272,  0.344, -0.054,  3.086, -3.991,  0.713, -0.660, -0.409,  \
        -0.569, -0.215, -0.382, -0.950,  2.116, -5.860, -1.166, -0.733,  1.672, -4.338,  1.379,  0.407,  \
        -0.801,  1.265, -0.054,  0.448, -1.712, -2.287,  0.691,  1.528,  3.458, -1.628,  0.409,  0.172,  \
         1.279, -1.835, -0.286, -0.522, -1.510, -0.886,  0.831,  3.998, -0.902,  5.938, -1.352, -0.469,  \
        -0.636,  0.629, -0.850,  2.673,  1.997, -7.270,  0.652,  2.588, -3.724, -0.664, -0.594, -0.329,  \
        -0.906, -0.042, -0.025,  1.151,  2.056, -8.826,  2.007, -5.370,  0.785, -2.786,  2.326, -0.477,  \
         0.461, -1.068, -0.015, -0.879, -1.111,  1.630,  0.472, -2.530, -0.926,  0.040, -0.190, -0.125,  \
        -0.581,  0.367, -0.740,  1.271, -3.892,  0.527,  0.804,  0.613,  2.510, -2.383,  0.500,  1.891,  \
         1.198, -0.487, -1.001, -0.502, -0.104,  0.458, -1.561,  0.631, -0.864,  0.592, -1.041, -0.394 ])
    
    # expected PDSI computed from palmer.pdsi() function using monthly Z-Index computed from precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_pdsi_monthly = np.array([
        -0.340,  0.544,  0.212,  0.674,  0.872, -2.867,  0.097,  0.245,  0.295,  0.721,  0.785,  0.631,  \
         0.851,  0.663,  0.349,  0.079,  0.057,  2.844, -0.061, -0.474, -0.234, -0.619,  0.190,  0.174,  \
         0.146,  0.456, -0.434, -0.189, -0.402,  0.239,  1.144, -0.787,  0.867,  1.104, -0.303, -0.227,  \
        -0.390, -0.401, -0.706, -0.816, -1.235, -1.432,  0.491,  1.015, -0.383,  1.554,  1.280,  1.284,  \
         1.167,  1.689, -0.334,  0.327, -1.277,  1.059,  1.149,  0.909,  1.817,  2.492,  1.785,  1.595,  \
         1.731,  1.620,  1.929,  1.967,  2.015, -2.038,  0.142, -0.198, -0.269,  0.347,  0.240,  0.510,  \
         0.208,  0.055,  0.093,  0.064,  0.471,  0.043,  0.072,  1.501, -0.960, -1.874, -1.718, -1.355,  \
        -1.603,  0.758, -0.273, -0.337, -0.722, -0.226, -0.395, -0.893,  0.900,  2.519,  1.972,  1.881,  \
         2.115,  2.086,  2.228,  1.690,  1.341,  1.805,  1.780,  1.435,  2.441, -0.812, -0.269, -0.276,  \
        -0.270, -0.521, -0.578, -0.603,  0.207,  2.143,  1.710,  1.385,  0.990,  3.263,  3.102,  2.640,  \
         2.294,  1.855,  1.569,  1.585,  1.901,  1.392,  2.129, -0.408, -1.504, -1.866, -1.980,  0.518,  \
        -0.029, -0.209, -0.248, -0.385,  0.929, -1.188, -0.803, -0.863, -2.847, -2.275, -2.247, -2.159,  \
        -2.105, -2.016, -2.209, -2.089, -0.826, -3.309, -3.154, -2.916, -2.145, -2.738, -2.512, -2.090,  \
        -2.144, -2.130, -2.246, -2.229,  0.083,  0.688,  0.438,  1.172,  2.088,  2.171, -0.174, -0.301,  \
        -0.288, -0.406, -0.544,  0.185,  0.837, -2.137, -1.671, -0.865, -2.275, -1.655, -1.901, -1.635,  \
        -1.474, -1.289, -1.309, -1.360, -0.825, -1.075, -1.212, -0.806, -1.412,  2.243, -0.313, -0.319,  \
        -0.469, -0.655, -0.809,  0.123,  1.223, -3.132, -2.014, -2.643, -3.476, -3.402,  1.246,  1.057,  \
         1.434,  1.302,  1.050,  1.183,  1.949, -2.489, -2.443, -2.731,  0.596,  1.268,  2.425,  1.994,  \
         1.856,  1.777,  1.466,  1.642,  1.708, -2.283, -2.586, -2.386, -1.918, -2.481,  1.106,  0.823,  \
         0.855,  0.562,  0.487,  1.154, -0.028, -3.294, -1.722, -3.021,  0.952,  1.408,  1.584,  1.610,  \
         1.384,  1.299,  1.134,  0.967,  1.303, -0.495,  0.472, -1.751,  0.586,  0.506,  0.426,  0.297,  \
         0.129,  0.219,  0.052,  0.354, -0.215, -1.372, -0.584, -1.946, -2.094,  2.175,  1.994,  1.605,  \
         1.324,  1.073,  1.125,  1.094,  0.997,  1.477,  1.529,  1.129,  1.512,  1.494, -0.387, -0.384,  \
        -0.185, -0.712, -0.617, -0.142, -0.634,  0.993,  0.874,  0.452,  0.695,  0.830,  0.395,  0.435,  \
         0.459,  0.697,  0.670,  0.631,  1.280, -1.404, -1.663, -0.760, -2.348, -2.535,  0.002, -0.043,  \
        -0.048,  0.175, -0.301,  0.268,  2.196, -3.653, -2.270, -3.917,  1.411,  1.321,  1.430,  1.236,  \
         0.918,  1.017,  1.076,  0.676,  0.947, -4.017, -3.684, -3.665, -4.375,  3.194,  2.308,  1.980,  \
         1.709,  1.403,  0.926,  0.911,  1.894, -2.007,  0.191,  0.921,  1.558,  5.271,  4.796, -0.134,  \
        -0.331, -0.415, -0.654, -0.248, -0.183, -2.466, -2.104, -1.697, -1.286, -1.315, -1.592, -1.578,  \
        -0.945, -0.934, -1.161, -0.715, -1.272, -2.021,  0.361,  0.424,  0.457,  1.425,  0.757,  0.560,  \
         1.021,  0.591,  0.768,  0.744,  1.970, -2.643, -2.658, -1.370, -3.554, -4.040,  0.295,  0.563,  \
         0.959,  0.361,  0.131,  0.218,  0.193,  1.622,  2.356,  2.606,  3.088,  0.012, -0.158, -0.311,  \
        -0.289, -0.010, -0.278, -0.195, -0.873, -1.464,  0.279, -0.361,  0.362,  1.113, -0.341, -0.390,  \
        -0.426, -0.299, -0.338, -0.470,  0.332,  0.540,  0.880,  2.169,  2.105, -0.312, -0.402, -0.257,  \
        -0.617, -0.618, -0.637, -0.605, -0.076, -2.657,  0.109,  0.273,  1.715,  3.454, -0.377, -0.228,  \
        -0.190, -0.285,  0.199,  0.440, -0.207, -0.083, -0.392, -0.648, -0.929,  1.084,  0.653,  0.637,  \
         1.385,  1.044,  1.250,  1.694, -0.649, -1.627, -1.925, -2.439,  0.975,  0.898, -0.325, -0.473,  \
        -0.218, -0.802, -0.834, -0.774,  1.826, -1.877, -2.261, -1.113, -2.483,  1.564,  1.643, -0.199,  \
        -0.174, -0.415,  0.188,  0.683, -0.198, -3.654, -2.633, -2.814, -4.528,  3.397,  2.851,  2.442,  \
         2.249,  2.031,  1.792,  1.778,  4.613, -2.534, -2.504, -2.247, -0.927, -1.465, -1.599, -1.529,  \
        -1.527, -1.504, -1.643, -1.104, -1.667,  1.217,  1.379, -1.346,  2.429,  2.303,  2.297,  1.990,  \
         1.974,  1.980,  1.965,  1.550,  2.169,  2.140,  2.735,  2.874, -1.224, -0.906, -0.875, -0.869,  \
        -0.986,  0.316,  0.407,  0.178,  0.718, -2.690,  0.138,  0.417,  0.591,  0.627, -0.335, -0.352,  \
        -0.314, -0.386, -0.609, -0.763,  0.296,  0.195,  0.565, -1.023, -1.206,  0.289, -0.257, -0.281,  \
        -0.143, -0.263, -0.392,  0.019,  0.232,  0.193,  0.867, -1.260, -1.356,  1.762, -0.316, -0.100,  \
        -0.328, -0.458, -0.420, -0.430, -0.569, -0.688, -0.037, -0.769,  2.164,  1.479,  1.150,  1.215,  \
         1.092,  1.430,  1.652,  2.273,  0.967,  1.220,  2.028, -1.994,  0.283,  0.125,  0.387,  0.347,  \
         0.400,  0.588,  0.456,  1.264,  0.586,  2.898, -0.864, -1.265, -1.252, -1.239, -1.087, -0.636,  \
        -0.964, -0.957, -0.957, -0.973, -0.870, -1.319, -0.626, -1.571,  0.210,  1.807,  2.244, -0.180,  \
        -0.042, -0.657, -0.793, -0.945, -0.172, -4.390, -3.035, -3.993, -3.440, -2.547, -2.767, -2.513,  \
        -2.029, -2.391, -2.460, -2.364, -2.605, -3.471,  0.172,  0.748,  0.909,  1.601,  1.179,  1.059,  \
         0.853,  0.677,  0.664,  0.521,  1.132, -2.392, -1.675, -2.863, -2.293, -2.490,  0.270,  0.272,  \
         0.063,  0.427,  0.318,  0.236,  0.457,  3.475,  4.167,  3.664,  2.292,  4.654,  4.088,  3.834,  \
         3.387,  2.468,  2.146,  2.058,  1.725,  0.790,  1.073,  1.806,  2.802,  3.666, -0.599, -0.667,  \
        -0.868, -1.080, -1.007, -0.673, -0.165, -2.695,  1.285,  0.491,  0.043,  1.526,  1.790, -0.052,  \
        -0.251, -0.254, -0.380, -0.229, -0.199, -1.729, -0.845, -1.558, -2.909,  1.967,  1.483,  1.503,  \
         0.910,  0.944,  0.496,  1.066, -1.029, -2.184, -1.566, -1.179, -1.959, -1.129, -1.459, -1.499,  \
        -1.510, -1.092, -1.033, -0.860, -0.935, -1.350,  0.433, -0.009, -0.529,  2.342, -0.481, -0.517,  \
         0.592, -0.198, -0.453, -0.438, -0.997,  2.721,  3.049,  1.924,  1.636,  2.368,  1.841,  1.585,  \
         1.351,  1.583,  1.537,  1.919,  2.038, -1.898,  0.237, -0.310,  0.750, -0.493, -0.266, -0.330,  \
        -0.390, -0.528, -0.713,  0.030,  0.022,  2.717,  2.730, -1.663, -1.064, -1.390, -1.503, -1.263,  \
        -1.176, -1.176, -1.348, -1.224, -1.639, -2.001, -2.330, -2.499,  0.698,  0.879, -0.426, -0.474,  \
        -0.640,  0.468,  0.308,  0.386,  1.010, -3.898, -3.174, -2.485, -3.114,  0.487,  0.167,  0.455,  \
         1.133,  0.839,  1.340,  1.009,  2.794, -1.781, -1.082, -2.161, -2.201,  0.462,  0.036,  0.485,  \
         0.039,  0.024,  0.335,  0.069,  1.274, -1.107,  0.813, -0.949,  0.906,  2.350,  2.461,  2.168,  \
         1.786,  1.791,  1.324,  1.866,  2.602, -2.192, -1.604, -2.078,  1.608,  1.868, -0.130, -0.207,  \
         0.275, -0.351, -0.504, -0.737,  0.821, -3.527, -3.834, -3.926, -4.273, -3.520, -3.560, -3.303,  \
        -2.821, -2.973, -2.603, -2.296, -2.540,  2.124,  1.727,  1.938, -0.667, -1.305,  0.417,  0.257,  \
         0.145,  0.530, -0.492, -0.652, -0.057, -2.701, -3.143, -0.005,  2.145, -0.440,  0.284,  0.409,  \
        -0.500, -0.243, -0.569,  0.288,  0.045,  2.765,  2.286,  1.706,  2.036,  2.676, -0.192, -0.186,  \
        -0.216,  0.339, -0.334, -0.489, -0.853, -0.729, -0.973, -1.681,  1.559,  3.229,  2.665,  2.306,  \
         2.517,  1.972,  1.756,  1.637,  2.277,  3.647,  3.914, -1.442, -0.173, -0.124, -0.541, -0.517,  \
        -0.361, -0.304, -0.350, -0.585, -0.950,  3.463,  2.719,  1.971,  2.938,  3.597,  2.972,  2.738,  \
         2.495,  2.610,  2.161,  1.684,  4.372,  4.817,  4.442,  3.784,  5.033,  6.234,  5.303,  4.626,  \
         4.711,  4.168,  3.738,  3.544,  4.023,  5.646,  4.934,  4.515,  5.168,  6.625,  5.658,  5.063,  \
         4.902,  4.389,  3.883,  3.108,  3.663, -2.215, -1.762, -2.299, -2.137, -1.168, -1.516, -1.511,  \
        -1.464, -1.392, -1.513, -1.617, -1.618,  0.491, -0.544, -0.491,  0.147,  0.592,  0.245,  0.380,  \
         0.133,  0.385,  0.086,  0.524,  0.566, -1.282, -0.736, -2.137,  0.918,  0.516,  0.757,  0.563,  \
         0.643,  0.881, -0.276, -0.379, -0.768,  1.905,  1.628,  3.447, -1.011, -1.174, -1.383, -0.918,  \
        -1.329, -1.403, -1.628, -1.567,  0.028,  0.516,  0.766, -0.222, -0.600, -0.373, -0.323, -0.283,  \
        -0.510, -0.594, -0.851, -1.037,  0.632, -1.882,  0.014, -0.096,  0.331, -0.100, -0.473, -0.433,  \
        -0.409,  0.369, -0.473,  0.261,  0.560, -1.458, -1.866,  1.532, -0.794, -1.246,  0.140,  0.140,  \
         0.366, -0.191, -0.633, -0.637,  1.227, -3.152, -2.991, -0.005,  1.263,  0.591,  0.950,  0.924,  \
         0.696,  0.893,  0.840,  0.990, -0.202, -0.902, -1.231, -0.809, -1.512,  0.657, -0.281, -0.224,  \
        -0.054, -0.510, -0.652,  0.791, -0.327, -0.728, -0.414, -0.847,  1.315,  1.551, -0.396, -0.115,  \
        -0.345, -0.460, -0.692, -0.272, -0.989,  0.967,  1.223, -1.085,  0.237,  0.066,  0.949,  0.790,  \
         0.685,  1.275, -0.128, -0.427, -0.648, -0.810, -0.771,  2.778,  3.434, -0.852, -0.678, -0.674,  \
        -0.743, -0.808,  0.156,  0.937,  1.295, -1.015, -1.552, -1.560, -0.044,  0.321,  0.812,  0.544,  \
         1.818,  2.556,  2.599,  2.488,  1.129,  3.051,  2.324,  2.233,  2.417, -0.180,  0.081,  0.211,  \
        -0.519,  0.055,  0.192,  0.136,  0.709, -3.211, -2.370, -3.212, -2.345, -3.021, -2.683, -2.566,  \
        -2.414, -2.338, -2.062, -1.781, -1.448, -2.115, -0.935, -2.457, -1.939, -1.811, -1.754, -1.423,  \
        -1.444, -1.570, -1.005, -1.014, -1.418, -1.017, -1.318, -1.179, -1.365, -1.661, -0.002,  0.344,  \
        -0.189, -0.519,  0.429,  0.121,  0.496, -1.492, -1.921, -2.538,  1.083,  1.241,  1.400, -0.042,  \
         0.130, -0.218, -0.401, -0.541,  0.704,  0.321,  1.428,  1.838, -1.952, -1.949, -1.930, -1.893,  \
        -1.895, -1.904, -1.758, -1.682, -2.084, -2.277, -1.918, -1.782, -2.001, -2.046, -1.965, -1.777,  \
        -1.888, -1.913, -1.839, -1.635, -0.917, -3.932, -3.824, -3.172, -4.310, -3.802, -3.461, -3.239,  \
        -2.826, -2.613, -2.235, -2.066, -1.257, -3.468, -3.275,  0.050,  0.972,  1.740,  1.104,  0.923,  \
         0.809,  0.763,  0.720,  0.780,  0.141,  5.282, -0.451, -0.175, -0.394, -1.179,  1.024,  0.699,  \
         1.393,  1.021,  0.986,  0.928,  0.924, -0.248, -0.347, -0.579, -0.873,  0.916,  0.294,  0.191,  \
         0.416,  0.628, -0.342, -0.084, -0.132, -0.971, -1.100,  0.041,  1.501,  1.693,  2.106,  2.054,  \
         1.665,  1.074,  0.994,  1.114,  0.925,  3.939,  3.704,  4.341,  2.779,  3.857, -0.438, -0.435,  \
        -0.299, -0.351,  0.103,  0.103,  0.645, -1.236, -1.831,  0.109,  0.305,  1.475, -0.474, -0.537,  \
        -0.190, -0.749, -0.728, -0.662,  0.234,  3.671,  3.314,  2.971,  3.485,  2.447,  2.245,  2.562,  \
         1.999,  2.705,  2.864, -0.364, -0.568, -2.181, -2.012, -2.109,  2.187,  1.199,  1.993,  1.615,  \
         1.789, -0.558, -0.648, -0.754,  0.045,  1.266,  0.792,  1.218,  1.098,  3.541, -0.206, -0.219,  \
        -0.275, -0.165, -0.195, -0.072, -0.715,  1.175,  0.650,  1.068, -1.591,  1.342, -0.505, -0.336,  \
        -0.504, -0.836,  0.079,  0.179,  0.371,  0.290,  0.998,  0.683,  0.769,  1.834, -0.285,  0.044,  \
         0.041,  0.352, -0.345, -0.606,  0.381,  3.550,  3.940, -1.743, -1.861, -2.356, -0.015,  0.107,  \
        -0.054, -0.151,  0.325,  0.343,  1.302, -2.811, -3.136, -2.394, -2.282, -3.056, -2.233, -2.093,  \
        -1.688, -1.615, -1.905, -1.718, -2.162, -3.594, -2.470, -3.061, -3.994, -3.834, -3.629, -3.399,  \
        -3.156, -3.067, -2.680, -2.522, -2.561,  2.375,  1.662,  2.459, -0.239, -0.786, -0.989, -0.901,  \
        -1.011, -0.668, -0.999, -1.059, -0.931, -0.969,  0.979, -0.784, -1.360, -2.334, -2.147,  0.056,  \
        -0.051,  0.421,  0.055,  0.416, -0.382,  2.181, -0.019, -0.978, -0.222, -0.034, -0.569, -0.511,  \
        -0.631, -0.466, -0.382, -0.273, -1.002,  0.115,  0.085,  1.105, -1.330, -0.956, -1.077, -1.103,  \
        -1.179, -1.129, -1.140, -1.339,  0.705, -1.953, -2.141, -2.165, -1.384, -2.687, -1.951, -1.614,  \
        -1.715, -1.116, -1.020, -0.765, -1.257, -1.890,  0.230,  0.716,  1.795, -0.543,  0.136,  0.180,  \
         0.588, -0.612, -0.644, -0.751, -1.177, -1.351,  0.277,  1.581,  1.117,  2.982,  2.224,  1.839,  \
         1.437,  1.499,  1.062,  1.843,  2.319, -2.423, -1.956, -0.892, -2.042, -2.053, -2.039, -1.939,  \
        -2.041, -0.014, -0.021,  0.384,  1.029, -2.942, -1.970, -3.557, -2.929, -3.556, -2.415, -2.325,  \
        -1.932, -2.089, -1.879, -1.978, -2.145, -1.380, -1.081, -1.813, -1.935, -1.722, -1.608, -1.484,  \
        -1.525, -1.246, -1.364, -0.800, -2.015,  0.176,  0.426,  0.586,  1.362, -0.794,  0.167,  0.780,  \
         1.099, -0.162, -0.479, -0.597, -0.570, -0.359, -0.842, -0.545, -0.777, -0.500, -0.795, -0.845 ])

    # expected PHDI computed from palmer.pdsi() function using monthly Z-Index computed from precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_phdi_monthly = np.array([
        -0.340,  0.544,  0.212,  0.674,  0.872, -2.867, -2.475, -2.062, -1.774, -1.135, -0.880, -0.862,  \
         0.851,  0.663,  0.349,  0.079,  0.057,  2.844,  2.490,  1.813,  1.818,  1.222,  1.286,  1.157,  \
         1.028,  1.247,  0.685,  0.815, -0.402,  0.239,  1.144, -0.787,  0.867,  1.104,  0.687,  0.660,  \
        -0.390, -0.401, -0.706, -0.816, -1.235, -1.432, -0.793,  1.015, -0.383,  1.554,  1.280,  1.284,  \
         1.167,  1.689,  1.181,  1.386, -1.277,  1.059,  1.149,  0.909,  1.817,  2.492,  1.785,  1.595,  \
         1.731,  1.620,  1.929,  1.967,  2.015, -2.038, -1.686, -1.710, -1.625, -1.111, -1.068, -0.663,  \
        -0.844, -0.889, -0.754, -0.695,  0.471,  0.043,  0.072,  1.501, -0.960, -1.874, -1.718, -1.355,  \
        -1.603, -0.681, -0.884, -0.885, -1.213, -0.667, -0.790, -1.247,  0.900,  2.519,  1.972,  1.881,  \
         2.115,  2.086,  2.228,  1.690,  1.341,  1.805,  1.780,  1.435,  2.441,  1.378,  1.695,  1.485,  \
         1.310,  0.897,  0.693, -0.603,  0.207,  2.143,  1.710,  1.385,  0.990,  3.263,  3.102,  2.640,  \
         2.294,  1.855,  1.569,  1.585,  1.901,  1.392,  2.129,  1.502, -1.504, -1.866, -1.980, -1.258,  \
        -1.158, -1.222, -1.156, -1.200,  0.929, -1.188, -0.803, -0.863, -2.847, -2.275, -2.247, -2.159,  \
        -2.105, -2.016, -2.209, -2.089, -0.826, -3.309, -3.154, -2.916, -2.145, -2.738, -2.512, -2.090,  \
        -2.144, -2.130, -2.246, -2.229, -1.916, -1.106, -1.171,  1.172,  2.088,  2.171,  1.773,  1.445,  \
         1.278,  0.999,  0.716,  0.828,  1.413, -2.137, -1.671, -0.865, -2.275, -1.655, -1.901, -1.635,  \
        -1.474, -1.289, -1.309, -1.360, -0.825, -1.075, -1.212, -0.806, -1.412,  2.243,  1.700,  1.486,  \
         1.150,  0.798, -0.809,  0.123,  1.223, -3.132, -2.014, -2.643, -3.476, -3.402, -1.805, -1.679,  \
        -1.021, -0.901, -0.926, -0.589,  1.949, -2.489, -2.443, -2.731, -1.854, -0.929,  2.425,  1.994,  \
         1.856,  1.777,  1.466,  1.642,  1.708, -2.283, -2.586, -2.386, -1.918, -2.481, -1.119, -1.172,  \
        -0.935, -1.043, -0.953,  1.154,  1.008, -3.294, -1.722, -3.021, -1.758, -1.023, -0.596,  1.610,  \
         1.384,  1.299,  1.134,  0.967,  1.303,  0.674,  1.077, -1.751, -0.984, -0.903, -0.838, -0.837,  \
        -0.888, -0.693, -0.766,  0.354, -0.215, -1.372, -0.584, -1.946, -2.094,  2.175,  1.994,  1.605,  \
         1.324,  1.073,  1.125,  1.094,  0.997,  1.477,  1.529,  1.129,  1.512,  1.494,  0.953,  0.818,  \
         0.893, -0.712, -0.617, -0.142, -0.634,  0.993,  0.874,  0.452,  0.695,  0.830,  0.395,  0.435,  \
         0.459,  0.697,  0.670,  0.631,  1.280, -1.404, -1.663, -0.760, -2.348, -2.535, -2.273, -2.082,  \
        -1.876, -1.508, -1.654, -1.215,  2.196, -3.653, -2.270, -3.917, -2.103, -1.831, -1.397, -1.300,  \
        -1.357, -1.023, -0.754, -0.966,  0.947, -4.017, -3.684, -3.665, -4.375, -0.730, -1.212, -1.178,  \
        -1.123, -1.138, -1.353, -1.133,  1.894, -2.007, -1.609, -0.694,  1.558,  5.271,  4.796,  4.168,  \
         3.528,  3.046,  2.451,  2.537,  2.315, -2.466, -2.104, -1.697, -1.286, -1.315, -1.592, -1.578,  \
        -0.945, -0.934, -1.161, -0.715, -1.272, -2.021, -1.452, -1.202, -1.001,  1.425,  0.757,  0.560,  \
         1.021,  0.591,  0.768,  0.744,  1.970, -2.643, -2.658, -1.370, -3.554, -4.040, -3.329, -2.688,  \
        -1.957, -2.254, -2.215, -1.886, -1.695,  1.622,  2.356,  2.606,  3.088,  2.782,  2.337,  1.927,  \
         1.719,  1.791,  1.338,  1.254, -0.873, -1.464, -1.034, -1.288, -0.794,  1.113,  0.657, -0.390,  \
        -0.426, -0.299, -0.338, -0.470,  0.332,  0.540,  0.880,  2.169,  2.105,  1.576,  1.291,  1.262,  \
         0.745,  0.604, -0.637, -0.605, -0.076, -2.657, -2.275, -1.865,  1.715,  3.454,  2.721,  2.551,  \
         2.303,  1.951,  1.949,  2.009,  1.596,  1.533,  1.058,  0.653, -0.929,  1.084,  0.653,  0.637,  \
         1.385,  1.044,  1.250,  1.694,  0.871, -1.627, -1.925, -2.439, -1.212, -1.064, -1.280, -1.329,  \
        -0.986, -1.490, -1.452, -1.328,  1.826, -1.877, -2.261, -1.113, -2.483, -0.663,  1.643,  1.274,  \
         1.148,  0.771,  0.879,  1.303,  0.970, -3.654, -2.633, -2.814, -4.528, -0.665, -0.792, -0.826,  \
        -0.682, -0.598, -0.566,  1.778,  4.613,  1.604,  1.207,  1.082,  2.059,  1.213,  0.804,  0.626,  \
        -1.527, -1.504, -1.643, -1.104, -1.667,  1.217,  1.379, -1.346,  2.429,  2.303,  2.297,  1.990,  \
         1.974,  1.980,  1.965,  1.550,  2.169,  2.140,  2.735,  2.874,  1.354,  1.407,  1.199,  0.992,  \
         0.683,  0.929,  0.956,  0.671,  1.160, -2.690, -2.275, -1.748, -1.351, -1.115, -1.335, -1.249,  \
        -1.119, -1.107, -1.257, -1.343, -0.909, -0.886,  0.565, -1.023, -1.206, -0.792, -0.968, -0.918,  \
        -0.715, -0.776, -0.852, -0.745,  0.232,  0.193,  0.867, -1.260, -1.356,  1.762,  1.265,  1.317,  \
         0.943,  0.683,  0.603, -0.430, -0.569, -0.688, -0.037, -0.769,  2.164,  1.479,  1.150,  1.215,  \
         1.092,  1.430,  1.652,  2.273,  0.967,  1.220,  2.028, -1.994, -1.505, -1.479, -1.052, -0.944,  \
        -0.758,  0.588,  0.456,  1.264,  0.586,  2.898,  1.736,  1.067,  0.840,  0.637,  0.596,  0.874,  \
        -0.964, -0.957, -0.957, -0.973, -0.870, -1.319, -0.626, -1.571, -1.200,  1.807,  2.244,  1.833,  \
         1.763,  0.962,  0.660, -0.945, -0.172, -4.390, -3.035, -3.993, -3.440, -2.547, -2.767, -2.513,  \
        -2.029, -2.391, -2.460, -2.364, -2.605, -3.471, -2.942, -2.045, -1.596, -0.646, -0.837, -0.749,  \
        -0.769, -0.778, -0.641, -0.650,  1.132, -2.392, -1.675, -2.863, -2.293, -2.490, -1.963, -1.732,  \
        -1.734, -1.185, -1.128, -1.062, -0.707,  3.475,  4.167,  3.664,  2.292,  4.654,  4.088,  3.834,  \
         3.387,  2.468,  2.146,  2.058,  1.725,  0.790,  1.073,  1.806,  2.802,  3.666,  2.689,  2.282,  \
         1.778,  1.293,  1.122,  1.236,  1.548, -2.695, -1.132, -1.677, -1.902,  1.526,  1.790,  1.554,  \
         1.189,  1.038,  0.779,  0.811,  0.733, -1.729, -0.845, -1.558, -2.909, -0.642, -0.857, -0.597,  \
        -0.973, -0.745, -1.019,  1.066, -1.029, -2.184, -1.566, -1.179, -1.959, -1.129, -1.459, -1.499,  \
        -1.510, -1.092, -1.033, -0.860, -0.935, -1.350, -0.778, -0.707, -1.155,  2.342,  1.620,  1.368,  \
         1.819,  1.434,  1.011,  0.875, -0.997,  2.721,  3.049,  1.924,  1.636,  2.368,  1.841,  1.585,  \
         1.351,  1.583,  1.537,  1.919,  2.038, -1.898, -1.466, -1.625, -0.708, -1.128, -0.835, -0.841,  \
        -0.848, -0.939, -1.082, -0.941, -0.848,  2.717,  2.730,  0.786,  1.132,  0.580, -1.503, -1.263,  \
        -1.176, -1.176, -1.348, -1.224, -1.639, -2.001, -2.330, -2.499, -1.543, -1.131, -1.441, -1.384,  \
        -1.456, -0.838, -0.863, -0.664,  1.010, -3.898, -3.174, -2.485, -3.114, -2.307, -2.338, -1.792,  \
        -0.882, -0.970,  1.340,  1.009,  2.794,  0.725,  1.166, -2.161, -2.201, -1.511, -1.734, -1.103,  \
        -1.385, -1.254, -0.811, -0.959,  1.274, -1.107,  0.813, -0.949,  0.906,  2.350,  2.461,  2.168,  \
         1.786,  1.791,  1.324,  1.866,  2.602, -2.192, -1.604, -2.078,  1.608,  1.868,  1.545,  1.296,  \
         1.437,  0.938,  0.652, -0.737,  0.821, -3.527, -3.834, -3.926, -4.273, -3.520, -3.560, -3.303,  \
        -2.821, -2.973, -2.603, -2.296, -2.540,  2.124,  1.727,  1.938,  1.071, -1.305, -0.753, -0.793,  \
        -0.797,  0.530, -0.492, -0.652, -0.057, -2.701, -3.143, -2.824,  2.145,  1.484,  1.615,  1.603,  \
         0.938,  1.047,  0.588,  0.816,  0.045,  2.765,  2.286,  1.706,  2.036,  2.676,  2.209,  1.967,  \
         1.715,  1.878,  1.350,  1.022, -0.853, -0.729, -0.973, -1.681,  1.559,  3.229,  2.665,  2.306,  \
         2.517,  1.972,  1.756,  1.637,  2.277,  3.647,  3.914,  2.069,  2.977,  2.701,  1.993,  1.756,  \
         1.678,  1.525,  1.291,  0.886, -0.950,  3.463,  2.719,  1.971,  2.938,  3.597,  2.972,  2.738,  \
         2.495,  2.610,  2.161,  1.684,  4.372,  4.817,  4.442,  3.784,  5.033,  6.234,  5.303,  4.626,  \
         4.711,  4.168,  3.738,  3.544,  4.023,  5.646,  4.934,  4.515,  5.168,  6.625,  5.658,  5.063,  \
         4.902,  4.389,  3.883,  3.108,  3.663,  1.071,  1.186, -2.299, -2.137, -1.168, -1.516, -1.511,  \
        -1.464, -1.392, -1.513, -1.617, -1.618, -0.959, -1.405, -1.263, -0.986,  0.592,  0.245,  0.380,  \
         0.133,  0.385,  0.086,  0.524,  0.566, -1.282, -0.736, -2.137, -0.999, -1.203, -0.785, -0.821,  \
        -0.598,  0.881, -0.276, -0.379, -0.768,  1.905,  1.628,  3.447,  2.081,  1.600,  1.106,  1.314,  \
         0.673, -1.403, -1.628, -1.567, -1.377, -0.744,  0.766, -0.222, -0.600, -0.373, -0.323, -0.283,  \
        -0.510, -0.594, -0.851, -1.037,  0.632, -1.882, -1.674, -1.597, -1.101, -1.088, -1.359, -1.228,  \
        -1.122, -0.638, -1.045, -0.677,  0.560, -1.458, -1.866,  1.532,  0.581, -1.246, -0.978, -0.863,  \
         0.366, -0.191, -0.633, -0.637,  1.227, -3.152, -2.991, -2.688, -1.149, -1.572, -0.990, -0.816,  \
        -0.865,  0.893,  0.840,  0.990, -0.202, -0.902, -1.231, -0.809, -1.512, -0.700, -0.909, -0.787,  \
        -0.559, -0.963, -1.059,  0.791, -0.327, -0.728, -0.414, -0.847,  1.315,  1.551,  0.995,  1.133,  \
         0.775, -0.460, -0.692, -0.272, -0.989,  0.967,  1.223, -1.085, -0.736, -0.807,  0.949,  0.790,  \
         0.685,  1.275,  1.016,  0.599, -0.648, -0.810, -0.771,  2.778,  3.434,  2.229,  2.085,  1.805,  \
         1.480,  1.186,  1.220,  1.892,  2.151,  0.914, -1.552, -1.560, -1.443, -0.974,  0.812,  0.544,  \
         1.818,  2.556,  2.599,  2.488,  1.129,  3.051,  2.324,  2.233,  2.417,  1.988,  1.865,  1.811,  \
         1.105,  1.047,  1.081,  0.934,  1.424, -3.211, -2.370, -3.212, -2.345, -3.021, -2.683, -2.566,  \
        -2.414, -2.338, -2.062, -1.781, -1.448, -2.115, -0.935, -2.457, -1.939, -1.811, -1.754, -1.423,  \
        -1.444, -1.570, -1.005, -1.014, -1.418, -1.017, -1.318, -1.179, -1.365, -1.661, -1.492, -0.995,  \
        -1.081, -1.319, -0.755, -0.940,  0.496, -1.492, -1.921, -2.538, -1.193, -0.802,  1.400,  1.214,  \
         1.219,  0.876,  0.580, -0.541,  0.704,  0.321,  1.428,  1.838, -1.952, -1.949, -1.930, -1.893,  \
        -1.895, -1.904, -1.758, -1.682, -2.084, -2.277, -1.918, -1.782, -2.001, -2.046, -1.965, -1.777,  \
        -1.888, -1.913, -1.839, -1.635, -0.917, -3.932, -3.824, -3.172, -4.310, -3.802, -3.461, -3.239,  \
        -2.826, -2.613, -2.235, -2.066, -1.257, -3.468, -3.275, -2.888, -1.663, -0.623, -1.016, -0.979,  \
        -0.897, -0.767, -0.652,  0.780,  0.141,  5.282,  4.287,  4.075,  3.419,  2.241,  3.034,  2.503,  \
         3.010,  2.472,  2.288,  2.096,  1.971,  1.520,  1.239,  0.844, -0.873,  0.916,  0.294,  0.191,  \
         0.416,  0.628, -0.342, -0.084, -0.132, -0.971, -1.100, -0.945,  1.501,  1.693,  2.106,  2.054,  \
         1.665,  1.074,  0.994,  1.114,  0.925,  3.939,  3.704,  4.341,  2.779,  3.857,  3.021,  2.669,  \
         2.484,  2.145,  2.027,  1.829,  2.194,  0.732, -1.831, -1.533, -1.168,  1.475,  0.850,  0.650,  \
         0.875, -0.749, -0.728, -0.662,  0.234,  3.671,  3.314,  2.971,  3.485,  2.447,  2.245,  2.562,  \
         1.999,  2.705,  2.864,  2.205,  1.736, -2.181, -2.012, -2.109,  2.187,  1.199,  1.993,  1.615,  \
         1.789,  1.047,  0.791, -0.754,  0.045,  1.266,  0.792,  1.218,  1.098,  3.541,  2.969,  2.630,  \
         2.281,  2.127,  1.861,  1.773,  0.939,  2.017,  1.406,  1.746, -1.591,  1.342,  0.698,  0.744,  \
        -0.504, -0.836,  0.079,  0.179,  0.371,  0.290,  0.998,  0.683,  0.769,  1.834,  1.360,  1.264,  \
         1.135,  1.333,  0.851, -0.606,  0.381,  3.550,  3.940,  1.791,  1.310, -2.356, -2.128, -1.802,  \
        -1.670, -1.601, -1.112, -0.945,  1.302, -2.811, -3.136, -2.394, -2.282, -3.056, -2.233, -2.093,  \
        -1.688, -1.615, -1.905, -1.718, -2.162, -3.594, -2.470, -3.061, -3.994, -3.834, -3.629, -3.399,  \
        -3.156, -3.067, -2.680, -2.522, -2.561,  2.375,  1.662,  2.459,  1.967,  1.193,  0.786,  0.691,  \
        -1.011, -0.668, -0.999, -1.059, -0.931, -0.969,  0.979, -0.784, -1.360, -2.334, -2.147, -1.870,  \
        -1.729, -1.129, -1.336, -0.832, -1.128,  2.181,  1.938,  0.777,  1.352,  1.378,  0.697,  0.626,  \
        -0.631, -0.466, -0.382, -0.273, -1.002, -0.784, -0.721,  1.105, -1.330, -0.956, -1.077, -1.103,  \
        -1.179, -1.129, -1.140, -1.339,  0.705, -1.953, -2.141, -2.165, -1.384, -2.687, -1.951, -1.614,  \
        -1.715, -1.116, -1.020, -0.765, -1.257, -1.890, -1.465, -0.805,  1.795,  1.067,  1.094,  1.039,  \
         1.358,  0.607, -0.644, -0.751, -1.177, -1.351, -0.935,  1.581,  1.117,  2.982,  2.224,  1.839,  \
         1.437,  1.499,  1.062,  1.843,  2.319, -2.423, -1.956, -0.892, -2.042, -2.053, -2.039, -1.939,  \
        -2.041, -1.845, -1.663, -1.108,  1.029, -2.942, -1.970, -3.557, -2.929, -3.556, -2.415, -2.325,  \
        -1.932, -2.089, -1.879, -1.978, -2.145, -1.380, -1.081, -1.813, -1.935, -1.722, -1.608, -1.484,  \
        -1.525, -1.246, -1.364, -0.800, -2.015, -1.632, -1.196, -0.868,  1.362, -0.794,  0.167,  0.780,  \
         1.099,  0.823, -0.479, -0.597, -0.570, -0.359, -0.842, -0.545, -0.777, -0.500, -0.795, -0.845 ])
    
    # expected PMDI computed from palmer.pdsi() function using monthly Z-Index computed from precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_pmdi_monthly = np.array([
        -0.340,  0.544, -0.276,  0.674,  0.872, -2.867, -2.293, -1.622, -1.191,  0.030,  0.420,  0.312,  \
         0.851,  0.663,  0.349, -0.536, -0.494,  2.844,  2.351,  1.093,  1.291,  0.169,  0.447,  0.312,  \
         0.172,  0.675, -0.309,  0.035, -0.402,  0.239,  1.144, -0.787,  0.867,  1.104, -0.026, -0.018,  \
        -0.390, -0.401, -0.706, -0.816, -1.235, -1.432,  0.093,  1.015, -0.383,  1.554,  1.024,  1.160,  \
         0.985,  1.689,  0.608,  1.229, -1.277,  1.059,  1.149,  0.576,  1.817,  2.492,  1.140,  0.898,  \
         1.361,  1.275,  1.929,  1.967,  2.015, -2.038, -1.422, -1.647, -1.621, -0.505, -0.516,  0.351,  \
        -0.171, -0.355, -0.140, -0.091,  0.471, -0.379, -0.306,  1.501, -0.960, -1.874, -1.700, -0.991,  \
        -1.603,  0.557, -0.063, -0.170, -0.963,  0.254, -0.130, -1.223,  0.900,  2.519,  1.538,  1.534,  \
         2.115,  2.086,  2.228,  1.211,  0.581,  1.762,  1.780,  1.126,  2.441,  0.261,  1.139,  0.843,  \
         0.607, -0.139, -0.432, -0.603, -0.333,  2.143,  1.354,  0.770,  0.009,  3.263,  3.102,  2.406,  \
         1.911,  1.175,  0.743,  0.934,  1.703,  0.742,  2.129,  0.882, -1.504, -1.866, -1.980, -0.468,  \
        -0.374, -0.644, -0.613, -0.794,  0.929, -1.188, -0.214, -0.469, -2.847, -1.867, -2.036, -2.059,  \
        -2.105, -2.016, -2.209, -2.089,  0.671, -3.309, -3.154, -2.916, -1.500, -2.738, -2.512, -1.817,  \
        -2.144, -2.130, -2.246, -2.229, -1.738, -0.049, -0.338,  1.172,  2.088,  2.171,  1.472,  0.888,  \
         0.650,  0.150, -0.350, -0.006,  1.194, -2.137, -1.272,  0.435, -2.275, -1.078, -1.809, -1.381,  \
        -1.167, -0.879, -1.024, -1.242, -0.026, -0.736, -1.144, -0.164, -1.412,  2.243,  1.217,  0.899,  \
         0.287, -0.359, -0.809, -0.603,  1.223, -3.132, -0.986, -2.572, -3.476, -3.402, -0.255, -0.222,  \
         0.929,  0.957,  0.712,  1.151,  1.949, -2.489, -2.443, -2.731, -1.043,  0.807,  2.425,  1.693,  \
         1.581,  1.581,  1.043,  1.566,  1.708, -2.283, -2.586, -2.386, -1.564, -2.481,  0.372,  0.075,  \
         0.421,  0.049,  0.096,  1.154,  0.857, -3.294, -0.178, -3.021, -0.529,  0.855,  1.535,  1.610,  \
         1.217,  1.143,  0.857,  0.543,  1.303, -0.278,  0.874, -1.751, -0.051,  0.018,  0.054, -0.049,  \
        -0.251,  0.069, -0.158,  0.354, -0.215, -1.372,  0.591, -1.946, -2.094,  2.175,  1.985,  1.274,  \
         0.773,  0.322,  0.551,  0.587,  0.471,  1.477,  1.529,  0.667,  1.512,  1.494,  0.257,  0.024,  \
         0.303, -0.712, -0.617,  0.431, -0.634,  0.993,  0.874,  0.452,  0.695,  0.830,  0.395,  0.435,  \
         0.459,  0.697,  0.670,  0.631,  1.280, -1.404, -1.663,  0.415, -2.348, -2.535, -2.206, -2.005,  \
        -1.746, -1.082, -1.551, -0.666,  2.196, -3.653, -1.024, -3.917, -0.399, -0.097,  0.546,  0.508,  \
         0.192,  0.622,  0.919,  0.386,  0.947, -4.017, -3.684, -3.665, -4.375,  2.988,  1.623,  1.384,  \
         1.211,  0.934,  0.339,  0.518,  1.894, -2.007, -1.276,  0.725,  1.558,  5.271,  4.796,  3.960,  \
         3.026,  2.363,  1.420,  1.845,  1.631, -2.466, -1.899, -1.185, -0.429, -0.631, -1.324, -1.424,  \
        -0.075, -0.163, -0.762,  0.128, -1.095, -2.021, -0.884, -0.450, -0.120,  1.425, -0.182, -0.571,  \
         0.644, -0.277,  0.206,  0.223,  1.970, -2.643, -2.658, -0.023, -3.554, -4.040, -2.929, -1.891,  \
        -0.616, -1.456, -1.589, -1.126, -0.916,  1.622,  2.356,  2.606,  3.088,  2.736,  2.035,  1.362,  \
         1.097,  1.416,  0.610,  0.564, -0.873, -1.464, -0.503, -1.257, -0.056,  1.113, -0.127, -0.390,  \
        -0.426, -0.299, -0.338, -0.470,  0.332,  0.540,  0.880,  2.169,  2.105,  1.084,  0.582,  0.650,  \
        -0.378, -0.558, -0.637, -0.605,  0.467, -2.657, -2.073, -1.382,  1.715,  3.454,  2.212,  2.121,  \
         1.838,  1.307,  1.487,  1.760,  1.042,  1.057,  0.180, -0.538, -0.929,  1.084, -0.106, -0.068,  \
         1.385,  0.627,  1.250,  1.694, -0.171, -1.627, -1.925, -2.439,  0.117,  0.272, -0.347, -0.587,  \
        -0.015, -1.052, -1.066, -0.915,  1.826, -1.877, -2.261,  0.168, -2.483,  1.418,  1.643,  0.896,  \
         0.712, -0.097,  0.256,  1.300,  0.535, -3.654, -1.813, -2.478, -4.528,  3.266,  2.603,  2.185,  \
         2.138,  1.994,  1.782,  1.778,  4.613, -1.336, -1.811, -1.734,  0.404, -0.914, -1.405, -1.477,  \
        -1.527, -1.504, -1.643, -0.469, -1.667,  1.217,  1.379, -1.346,  2.429,  2.303,  2.297,  1.831,  \
         1.974,  1.980,  1.965,  1.183,  2.169,  2.140,  2.735,  2.874, -0.227,  0.091, -0.164, -0.417,  \
        -0.861, -0.244, -0.066, -0.446,  0.433, -2.690, -2.039, -1.083, -0.382, -0.025, -0.621, -0.570,  \
        -0.421, -0.498, -0.773, -0.996, -0.144, -0.193,  0.565, -1.023, -1.206, -0.162, -0.735, -0.677,  \
        -0.190, -0.406, -0.640, -0.389,  0.232,  0.193,  0.867, -1.260, -1.356,  1.762,  0.730,  0.987,  \
         0.218, -0.283, -0.356, -0.430, -0.569, -0.688,  0.580, -0.769,  2.164,  0.789,  0.188,  0.470,  \
         0.326,  1.111,  1.652,  2.273, -0.519,  0.214,  2.028, -1.994, -1.042, -1.135, -0.280, -0.151,  \
         0.152,  0.588,  0.456,  1.264, -0.484,  2.898,  0.603, -0.653, -0.935, -1.152, -1.045, -0.371,  \
        -0.964, -0.957, -0.957, -0.973, -0.870, -1.319,  0.424, -1.571, -0.798,  1.807,  2.244,  1.527,  \
         1.553, -0.120, -0.659, -0.945,  0.676, -4.390, -1.943, -3.993, -3.217, -1.645, -2.376, -2.106,  \
        -1.326, -2.243, -2.460, -2.364, -2.605, -3.471, -2.678, -1.021, -0.282,  1.498,  0.899,  0.883,  \
         0.676,  0.510,  0.603,  0.460,  1.132, -2.392, -0.997, -2.863, -1.890, -2.490, -1.551, -1.226,  \
        -1.402, -0.346, -0.349, -0.324,  0.294,  3.475,  4.167,  3.521,  0.945,  4.654,  3.933,  3.811,  \
         3.244,  1.607,  1.177,  1.214,  0.731, -0.967, -0.242,  1.192,  2.802,  3.666,  1.924,  1.328,  \
         0.499, -0.293, -0.444, -0.048,  0.682, -2.695,  0.551, -0.829, -1.480,  1.526,  1.790,  1.405,  \
         0.674,  0.429, -0.073,  0.096,  0.013, -1.729,  0.270, -1.549, -2.909,  1.853,  1.139,  1.455,  \
         0.519,  0.779,  0.134,  1.066, -1.029, -2.184, -0.971, -0.242, -1.959, -0.181, -1.085, -1.303,  \
        -1.470, -0.570, -0.534, -0.213, -0.478, -1.350,  0.044,  0.129, -1.062,  2.342,  0.923,  0.521,  \
         1.657,  0.950,  0.130, -0.051, -0.997,  2.721,  3.049,  0.871,  0.460,  2.187,  1.261,  0.885,  \
         0.541,  1.141,  1.150,  1.919,  2.038, -1.898, -1.060, -1.587,  0.516, -0.607, -0.036, -0.146,  \
        -0.247, -0.465, -0.779, -0.530, -0.389,  2.717,  2.730, -1.367, -0.398, -1.357, -1.503, -1.049,  \
        -0.953, -1.057, -1.348, -1.164, -1.639, -2.001, -2.330, -2.499, -0.581,  0.164, -0.663, -0.687,  \
        -0.959,  0.173,  0.013,  0.286,  1.010, -3.898, -2.740, -1.580, -3.114, -1.653, -1.960, -1.003,  \
         0.757,  0.402,  1.340,  0.592,  2.794, -1.562, -0.382, -2.161, -2.201, -0.825, -1.496, -0.223,  \
        -0.973, -0.807,  0.037, -0.364,  1.274, -1.107,  0.813, -0.949,  0.906,  2.350,  2.461,  2.052,  \
         1.402,  1.588,  0.699,  1.866,  2.602, -2.192, -1.050, -2.078,  1.608,  1.868,  1.288,  0.844,  \
         1.297,  0.214, -0.363, -0.737,  0.821, -3.527, -3.834, -3.926, -4.273, -3.103, -3.547, -3.303,  \
        -2.591, -2.973, -2.462, -2.048, -2.540,  2.124,  1.418,  1.938,  0.065, -1.305,  0.062, -0.140,  \
        -0.235,  0.530, -0.492, -0.652,  0.528, -2.701, -3.143, -2.770,  2.145,  0.822,  1.281,  1.402,  \
         0.012,  0.372, -0.524,  0.061, -0.413,  2.765,  1.980,  0.914,  1.813,  2.676,  1.904,  1.584,  \
         1.217,  1.727,  0.702,  0.099, -0.853, -0.729, -0.973, -1.681,  1.559,  3.229,  2.324,  1.809,  \
         2.496,  1.523,  1.236,  1.144,  2.277,  3.647,  3.914,  0.330,  2.511,  2.221,  1.006,  0.725,  \
         0.746,  0.608,  0.308, -0.305, -0.950,  3.463,  2.198,  0.850,  2.938,  3.597,  2.613,  2.407,  \
         2.155,  2.610,  1.869,  1.010,  4.372,  4.817,  4.442,  3.498,  5.033,  6.234,  4.931,  4.059,  \
         4.702,  4.038,  3.550,  3.515,  4.023,  5.646,  4.733,  4.359,  5.168,  6.625,  5.292,  4.631,  \
         4.807,  4.230,  3.609,  2.371,  3.663, -1.600, -1.074, -2.299, -2.137, -0.086, -1.031, -1.163,  \
        -1.178, -1.134, -1.513, -1.617, -1.618, -0.133, -1.332, -1.116, -0.532,  0.592, -0.287,  0.380,  \
        -0.295,  0.385, -0.259,  0.524,  0.566, -1.282,  0.085, -2.137,  0.310, -0.307,  0.476,  0.265,  \
         0.594,  0.881,  0.514, -0.379, -0.768,  1.905,  1.443,  3.447,  0.816,  0.025, -0.785, -0.159,  \
        -1.216, -1.403, -1.628, -1.567, -1.256,  0.215,  0.766,  0.465, -0.600, -0.373, -0.323, -0.283,  \
        -0.510, -0.594, -0.851, -1.037,  0.632, -1.882, -1.582, -1.570, -0.499, -0.581, -1.331, -1.132,  \
        -0.975,  0.220, -0.896,  0.031,  0.560, -1.458, -1.866,  1.532, -0.745, -1.246, -0.634, -0.413,  \
         0.366, -0.191, -0.633, -0.637,  1.227, -3.152, -2.991, -2.633,  0.525, -0.580,  0.469,  0.655,  \
         0.404,  0.893,  0.840,  0.990,  0.686, -0.902, -1.231, -0.179, -1.512,  0.419, -0.216, -0.022,  \
         0.408, -0.529, -0.766,  0.791,  0.383, -0.728, -0.414, -0.847,  1.315,  1.551,  0.299,  0.752,  \
        -0.018, -0.460, -0.692,  0.349, -0.989,  0.967,  1.223, -1.085, -0.146, -0.435,  0.949,  0.790,  \
         0.685,  1.275,  0.699, -0.342, -0.648, -0.810, -0.771,  2.778,  3.434,  1.152,  1.088,  0.717,  \
         0.242, -0.173,  0.053,  1.372,  2.019, -0.557, -1.552, -1.560, -1.434, -0.364,  0.812,  0.544,  \
         1.818,  2.556,  2.599,  2.488, -0.355,  3.051,  1.758,  1.797,  2.417,  1.690,  1.609,  1.666,  \
         0.211,  0.207,  0.398,  0.189,  1.238, -3.211, -1.693, -3.212, -1.637, -3.021, -2.589, -2.566,  \
        -2.414, -2.338, -1.951, -1.513, -0.924, -2.115,  0.438, -2.457, -1.531, -1.438, -1.486, -0.910,  \
        -1.085, -1.467, -0.251, -0.383, -1.411, -0.510, -1.318, -1.086, -1.365, -1.661, -1.420, -0.328,  \
        -0.644, -1.314,  0.075, -0.508,  0.496, -1.492, -1.921, -2.538,  0.259,  0.939,  1.400,  1.062,  \
         1.198,  0.370, -0.350, -0.541,  0.704,  0.321,  1.428,  1.838, -1.952, -1.949, -1.930, -1.893,  \
        -1.895, -1.904, -1.758, -1.682, -2.084, -2.277, -1.686, -1.568, -2.001, -2.046, -1.965, -1.726,  \
        -1.888, -1.913, -1.839, -1.542,  0.038, -3.932, -3.824, -2.812, -4.310, -3.672, -3.331, -3.205,  \
        -2.638, -2.458, -1.892, -1.740, -0.189, -3.468, -3.275, -2.767, -0.367,  1.657,  0.623,  0.516,  \
         0.505,  0.588,  0.646,  0.780, -0.672,  5.282,  3.727,  3.719,  2.752,  0.643,  2.512,  1.718,  \
         2.935,  2.063,  1.910,  1.716,  1.641,  0.855,  0.408, -0.273, -0.873,  0.916, -0.527, -0.546,  \
         0.416,  0.628, -0.342,  0.421,  0.321, -0.971, -1.100, -0.760,  1.501,  1.693,  2.106,  2.054,  \
         1.353,  0.130,  0.078,  0.461,  0.162,  3.939,  3.704,  4.341,  1.444,  3.857,  2.451,  2.002,  \
         1.878,  1.405,  1.365,  1.146,  2.004, -1.015, -1.831, -1.304, -0.574,  1.475,  0.008, -0.386,  \
         0.260, -0.749, -0.728, -0.662, -0.360,  3.671,  3.281,  2.876,  3.485,  1.580,  1.401,  2.298,  \
         1.343,  2.705,  2.864,  1.692,  0.877, -2.181, -2.012, -2.109,  2.187,  0.107,  1.993,  1.306,  \
         1.789,  0.164, -0.317, -0.754, -0.631,  1.266,  0.089,  1.218,  1.014,  3.541,  2.665,  2.230,  \
         1.736,  1.629,  1.265,  1.252, -0.305,  1.942,  0.731,  1.643, -1.591,  1.342, -0.252, -0.028,  \
        -0.504, -0.836, -0.670, -0.493,  0.371,  0.290,  0.998,  0.683,  0.769,  1.834,  0.878,  0.787,  \
         0.607,  1.151,  0.095, -0.606,  0.381,  3.550,  3.940, -0.298, -1.030, -2.356, -2.082, -1.548,  \
        -1.423, -1.419, -0.428, -0.163,  1.302, -2.811, -3.136, -1.825, -1.825, -3.056, -1.549, -1.474,  \
        -0.807, -0.826, -1.558, -1.330, -2.162, -3.594, -1.518, -3.051, -3.994, -3.834, -3.629, -3.399,  \
        -3.156, -3.067, -2.531, -2.457, -2.561,  2.375,  0.984,  2.459,  1.593,  0.033, -0.707, -0.746,  \
        -1.011, -0.024, -0.999, -1.059, -0.786, -0.969,  0.979, -0.784, -1.360, -2.334, -2.147, -1.727,  \
        -1.588, -0.357, -0.949,  0.065, -0.675,  2.181,  1.845, -0.673,  0.767,  0.951, -0.399, -0.431,  \
        -0.631, -0.466, -0.382, -0.273, -1.002, -0.412, -0.290,  1.105, -1.330, -0.460, -0.881, -1.044,  \
        -1.179, -1.129, -1.140, -1.339,  0.705, -1.953, -2.141, -2.165, -0.566, -2.687, -1.308, -0.760,  \
        -1.150, -0.026,  0.036,  0.419, -0.649, -1.890, -1.067,  0.362,  1.795,  0.207,  0.397,  0.384,  \
         1.179, -0.530, -0.644, -0.751, -1.177, -1.351, -0.379,  1.581,  0.576,  2.982,  1.609,  0.989,  \
         0.314,  0.611, -0.134,  1.495,  2.319, -2.423, -1.609,  0.619, -2.042, -2.053, -2.039, -1.939,  \
        -2.041, -1.795, -1.555, -0.395,  1.029, -2.942, -1.083, -3.557, -2.560, -3.556, -1.436, -1.503,  \
        -0.906, -1.432, -1.194, -1.532, -2.023, -0.508,  0.003, -1.676, -1.935, -1.634, -1.536, -1.398,  \
        -1.525, -0.974, -1.364,  0.001, -2.015, -1.319, -0.454,  0.172,  1.362, -0.794, -0.546,  0.780,  \
         1.099,  0.392, -0.479, -0.597, -0.570, -0.359, -0.842, -0.545, -0.777, -0.500, -0.795, -0.845 ])
    
    # expected self-calibrated PDSI computed from palmer.scpdsi() function using monthly precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_scpdsi_monthly = np.array([
        -0.391,  0.556,  0.181,  0.657,  0.862, -3.300,  0.099,  0.251,  0.302,  0.737,  0.802,  0.635,  \
         0.862, -0.116, -0.387, -0.616, -0.568,  2.853, -0.070, -0.546, -0.294, -0.735, -0.465, -0.414,  \
        -0.382, -0.011, -0.509, -0.252, -0.494,  0.244,  1.169, -0.905,  0.886,  1.128, -0.349, -0.267,  \
        -0.454, -0.466, -0.817, -0.943, -1.424, -1.652,  0.502,  1.037, -0.441,  1.589,  1.293,  1.299,  \
         1.180,  1.715, -0.384, -0.010, -1.479,  1.082,  1.174,  0.913,  1.843,  2.534,  1.754,  1.567,  \
         1.712,  1.604,  1.926,  1.969,  2.023, -2.346, -1.959, -1.985, -1.885,  0.354,  0.236,  0.513,  \
         0.173,  0.003,  0.048,  0.021,  0.441, -0.437,  0.035,  1.498, -1.105, -2.157, -1.978, -1.584,  \
        -1.867, -0.900, -1.122, -1.113, -1.481, -0.898, -1.026, -1.540,  0.920,  2.574,  1.978,  1.889,  \
         2.131,  2.105,  2.252,  1.665,  1.293,  1.775,  1.756,  1.389,  2.425, -0.934, -0.369, -0.371,  \
        -0.358, -0.642, -0.704, -0.728,  0.212,  2.190,  1.720,  1.371,  0.940,  3.269,  3.112,  2.628,  \
         2.272,  1.804,  1.510,  1.536,  1.867,  1.315,  2.078, -0.469, -1.731, -2.147, -2.279,  0.529,  \
        -0.034, -0.241, -0.286, -0.443,  0.950, -1.367, -0.958, -1.024, -3.304, -2.679, -2.641, -2.534,  \
        -2.466, -2.360, -2.577, -2.436, -1.115, -3.955, -3.761, -3.474, -2.635, -3.300, -3.025, -2.547,  \
        -2.595, -2.565, -2.687, -2.657,  0.085,  0.703,  0.424,  1.177,  2.115,  2.202, -0.200, -0.347,  \
        -0.332, -0.468, -0.626,  0.189,  0.855, -2.459, -1.955, -1.106, -2.717, -2.043, -2.312, -2.002,  \
        -1.805, -1.585, -1.598, -1.646, -1.073, -1.349, -1.494, -1.054, -1.738,  2.293, -0.360, -0.367,  \
        -0.540, -0.753, -0.931,  0.126,  1.250, -3.604, -2.421, -3.134, -4.083, -3.989,  1.274,  1.073,  \
         1.458,  1.324,  1.052,  1.190,  1.975, -2.864, -2.811, -3.143,  0.609,  1.295,  2.478,  2.014,  \
         1.875,  1.797,  1.464,  1.648,  1.718, -2.628, -2.977, -2.746, -2.236, -2.880,  1.130,  0.820,  \
         0.854,  0.531,  0.456,  1.142, -0.032, -3.791, -2.141, -3.619,  0.973,  1.439,  1.619,  1.645,  \
         1.407,  1.321,  1.149,  0.972,  1.317, -0.569, -0.028, -2.040,  0.599,  0.514,  0.429,  0.287,  \
         0.100,  0.195,  0.008,  0.321, -0.248, -1.579, -0.755, -2.314, -2.477,  2.222,  2.038,  1.617,  \
         1.317,  1.049,  1.107,  1.080,  0.984,  1.479,  1.535,  1.097,  1.495,  1.482, -0.445, -0.441,  \
        -0.234, -0.838, -0.729, -0.234, -0.793,  1.015, -0.020, -0.400,  0.297,  0.477,  0.026,  0.105,  \
         0.164,  0.439,  0.440,  0.425,  1.111, -1.616, -1.914, -0.970, -2.787, -2.994,  0.002, -0.050,  \
        -0.055,  0.179, -0.346,  0.274,  2.244, -4.204, -2.743, -4.625, -2.706, -2.372, -1.877, -1.738,  \
        -1.778, -1.397, -1.086, -1.307, -0.824, -5.362, -4.903, -4.812, -5.569,  3.264,  2.287,  1.947,  \
         1.670,  1.348,  0.826,  0.824,  1.839, -2.310,  0.195,  0.941,  1.592,  5.387,  4.901, -0.154,  \
        -0.381, -0.478, -0.753, -0.330, -0.255, -2.878, -2.471, -2.022, -1.573, -1.596, -1.906, -1.882,  \
        -1.208, -1.183, -1.434, -0.952, -1.580, -2.430,  0.369,  0.433,  0.467,  1.456, -0.600, -0.675,  \
         0.529,  0.101,  0.334,  0.356,  1.650, -3.042, -3.059, -1.707, -4.208, -4.755,  0.301,  0.576,  \
         0.980,  0.305,  0.052,  0.149,  0.130,  1.597,  2.354,  2.615,  3.112,  0.012, -0.182, -0.358,  \
        -0.333, -0.044, -0.349, -0.257, -1.034, -1.711, -1.250, -1.536,  0.370,  1.137, -0.393, -0.449,  \
        -0.490, -0.355, -0.398, -0.550,  0.339,  0.552,  0.899,  2.216,  2.151, -0.359, -0.463, -0.309,  \
        -0.722, -0.723, -0.743, -0.705, -0.155, -3.119,  0.111,  0.279,  1.753,  3.529, -0.434, -0.276,  \
        -0.233, -0.341,  0.203,  0.449, -0.238, -0.109, -0.463, -0.756, -1.078,  1.107,  0.627,  0.614,  \
         1.383,  1.011,  1.228,  1.687, -0.747, -1.873, -2.216, -2.807,  0.997,  0.918, -0.374, -0.544,  \
        -0.277, -0.946, -0.982, -0.910,  1.866, -2.161, -2.602, -1.399, -2.964,  1.598,  1.679,  1.276,  \
         1.150,  0.733,  0.850,  1.288, -0.228, -4.205, -3.113, -3.313, -5.278,  3.471,  2.889,  2.458,  \
         2.265,  2.045,  1.801,  1.789,  4.689, -2.917, -2.882, -2.587, -1.207, -1.813, -1.953, -1.861,  \
        -1.848, -1.812, -1.965, -1.384, -2.020,  1.243,  1.409, -1.549,  2.482,  2.354,  2.347,  2.025,  \
         2.009,  2.016,  2.002,  1.550,  2.187,  2.160,  2.771,  2.916, -1.409, -1.067, -1.030, -1.020,  \
        -1.153,  0.323,  0.416,  0.158,  0.712, -3.096, -2.637, -2.066, -1.631, -1.364, -1.609, -1.503,  \
        -1.346, -1.327, -1.494, -1.588, -1.122, -1.088, -0.578, -1.695, -1.852,  0.295, -0.296, -0.323,  \
        -0.179, -0.315, -0.462,  0.020,  0.237,  0.195,  0.884, -1.450, -1.560,  1.800, -0.363, -0.139,  \
        -0.399, -0.546, -0.500, -0.510, -0.668, -0.804, -0.129, -0.962,  2.211,  1.452,  1.098,  1.173,  \
         1.054,  1.406,  1.639,  2.279, -1.234,  0.360,  1.278, -2.295,  0.290,  0.111,  0.381,  0.341,  \
         0.396,  0.590,  0.447,  1.274, -0.631,  2.425, -0.995, -1.456, -1.441, -1.426, -1.254, -0.778,  \
        -1.151, -1.139, -1.135, -1.150, -1.029, -1.543, -0.815, -1.893,  0.214,  1.847,  2.293, -0.207,  \
        -0.064, -0.770, -0.925, -1.099,  0.691, -4.875, -3.450, -4.557, -3.943, -2.987, -3.234, -2.937,  \
        -2.404, -2.813, -2.886, -2.770, -3.042, -4.035,  0.175,  0.764,  0.929,  1.636,  1.171,  1.053,  \
         0.832,  0.646,  0.637,  0.485,  1.114, -2.753, -1.989, -3.350, -2.724, -2.942,  0.276,  0.278,  \
         0.041,  0.416,  0.298,  0.210,  0.439,  3.526,  4.236,  3.715,  2.187,  4.617,  4.042,  3.796,  \
         3.345,  2.344,  2.025,  1.953,  1.612,  0.574,  0.887,  1.658,  2.695,  3.595, -0.689, -0.768,  \
        -0.999, -1.243, -1.159, -0.805, -0.273, -3.176,  1.313, -0.761, -1.141,  1.520,  1.794, -0.060,  \
        -0.289, -0.292, -0.437, -0.278, -0.243, -2.002, -1.075, -1.885, -3.430, -1.066, -1.281, -0.972,  \
        -1.377, -1.104, -1.394, -0.616, -1.737, -3.009, -2.297, -1.830, -2.680, -1.761, -2.093, -2.097,  \
        -2.072, -1.589, -1.487, -1.266, -1.324, -1.776, -1.151, -1.043, -1.535,  2.393, -0.554, -0.595,  \
         0.605, -0.228, -0.521, -0.504, -1.148,  2.780,  3.116,  1.862,  1.567,  2.325,  1.759,  1.502,  \
         1.266,  1.514,  1.479,  1.878,  2.009, -2.184, -1.718, -1.898,  0.767, -0.568, -0.329, -0.401,  \
        -0.467, -0.624, -0.835,  0.030,  0.022,  2.775,  2.789, -1.914, -1.280, -1.649, -1.774, -1.505,  \
        -1.399, -1.395, -1.588, -1.442, -1.916, -2.329, -2.706, -2.897,  0.713,  0.899, -0.490, -0.546,  \
        -0.736,  0.478,  0.301,  0.382,  1.020, -4.486, -3.695, -2.944, -3.659,  0.497,  0.136,  0.434,  \
         1.130,  0.809,  1.326,  0.967,  2.798, -2.050, -1.311, -2.547, -2.586,  0.473, -0.435,  0.462,  \
        -0.456, -0.422,  0.321,  0.021,  1.257, -1.275,  0.831, -1.092,  0.926,  2.401,  2.515,  2.210,  \
         1.800,  1.808,  1.296,  1.856,  2.613, -2.523, -1.892, -2.433,  1.643,  1.909, -0.150, -0.238,  \
         0.281, -0.404, -0.580, -0.848,  0.838, -4.059, -4.413, -4.519, -4.917, -4.091, -4.133, -3.833,  \
        -3.294, -3.464, -3.042, -2.689, -2.966,  2.170,  1.742,  1.960, -0.768, -1.502,  0.426,  0.247,  \
         0.124,  0.520, -0.566, -0.750, -0.133, -3.169, -3.672, -0.006,  2.191,  1.460,  1.599,  1.593,  \
        -0.575, -0.306, -0.679,  0.295,  0.018,  2.801,  2.289,  1.657,  2.003,  2.665, -0.221, -0.215,  \
        -0.249,  0.347, -0.385, -0.563, -0.981, -0.843, -1.123, -1.939,  1.594,  3.299,  2.693,  2.319,  \
         2.539,  1.948,  1.732,  1.617,  2.277,  3.682,  3.960, -1.659, -0.344, -0.276, -0.743, -0.702,  \
        -0.525, -0.451, -0.493, -0.755, -1.166,  3.539,  2.729,  1.908,  2.908,  3.591,  2.929,  2.700,  \
         2.462,  2.589,  2.115,  1.604,  4.363,  4.828,  4.454,  3.765,  5.052,  6.289,  5.309,  4.611,  \
         4.710,  4.159,  3.729,  3.541,  4.039,  5.705,  4.966,  4.546,  5.220,  6.715,  5.696,  5.095,  \
         4.939,  4.421,  3.903,  3.070,  3.648, -2.549, -2.057, -2.672, -2.483, -1.461, -1.851, -1.833,  \
        -1.769, -1.679, -1.809, -1.922, -1.917, -1.217, -1.718, -0.003,  0.150,  0.605,  0.213,  0.355,  \
         0.079,  0.342,  0.009,  0.465,  0.515, -1.475, -0.900, -2.507,  0.938,  0.488,  0.738,  0.528,  \
         0.615,  0.863, -0.318, -0.436, -0.884,  1.947,  1.653,  3.514, -1.163, -1.351, -1.591, -1.098,  \
        -1.567, -1.648, -1.904, -1.830,  0.029,  0.528,  0.783, -0.256, -0.691, -0.450, -0.393, -0.346,  \
        -0.604, -0.699, -0.993, -1.205,  0.646, -2.166, -1.928, -1.840, -1.312, -1.291, -1.600, -1.445,  \
        -1.320, -0.807, -1.269,  0.266,  0.572, -1.678, -2.147,  1.566, -0.913, -1.434, -1.143, -1.011,  \
        -0.661, -0.813, -1.260, -1.210,  1.253, -3.628, -3.442, -0.006,  1.290,  0.534,  0.908,  0.888,  \
         0.643,  0.852,  0.804,  0.963, -0.233, -1.038, -1.417, -0.970, -1.775,  0.671, -0.324, -0.261,  \
        -0.085, -0.607, -0.769,  0.809, -0.376, -0.838, -0.508, -1.002,  1.344,  1.585, -0.456, -0.164,  \
        -0.424, -0.554, -0.819, -0.378, -1.197,  0.988,  1.250, -1.249,  0.242,  0.049,  0.952,  0.785,  \
         0.676,  1.282, -0.148, -0.492, -0.746, -0.932, -0.888,  2.839,  3.509, -0.980, -0.792, -0.785,  \
        -0.864, -0.938,  0.159,  0.958,  1.323, -1.168, -1.786, -1.795, -1.661,  0.328,  0.829,  0.532,  \
         1.836,  2.593,  2.639,  2.527,  0.998,  2.978, -0.475,  0.152,  0.560,  0.295,  0.347,  0.453,  \
        -0.598,  0.056,  0.196,  0.134,  0.720, -3.696, -2.794, -3.755, -2.821, -3.586, -3.190, -3.044,  \
        -2.860, -2.764, -2.444, -2.121, -1.750, -2.509, -1.268, -3.000, -2.420, -2.254, -2.170, -1.793,  \
        -1.802, -1.932, -1.321, -1.314, -1.764, -1.322, -1.653, -1.479, -1.680, -2.010, -1.805, -1.268,  \
        -1.355, -1.618, -1.013, -1.212, -0.691, -2.337, -2.767, -3.421,  1.107,  1.268,  1.431,  1.235,  \
         1.241,  0.862,  0.537,  0.273,  0.964,  0.508,  1.620,  2.023, -2.246, -2.243, -2.222, -2.179,  \
        -2.181, -2.191, -2.024, -1.935, -2.399, -2.621, -2.223, -2.066, -2.316, -2.366, -2.272, -2.054,  \
        -2.181, -2.210, -2.124, -1.890, -1.133, -4.596, -4.464, -3.741, -5.041, -4.457, -4.055, -3.793,  \
        -3.321, -3.069, -2.641, -2.440, -1.579, -4.111, -3.876,  0.051,  0.993,  1.779,  1.069,  0.882,  \
         0.769,  0.728,  0.690,  0.755,  0.035,  5.300, -0.519, -0.231, -0.480, -1.380,  1.046,  0.686,  \
         1.398,  0.991,  0.961,  0.907,  0.907, -0.286, -0.399, -0.666, -1.004,  0.936, -0.607, -0.628,  \
        -0.313, -0.021, -0.412, -0.143, -0.193, -1.154, -1.299,  0.042,  1.533,  1.730,  2.152,  2.099,  \
         1.679,  1.022,  0.949,  1.078,  0.882,  3.968,  3.734,  4.390,  2.655,  3.775, -0.504, -0.500,  \
        -0.356, -0.415,  0.105,  0.105,  0.659, -1.422, -2.107,  0.112,  0.312,  1.508, -0.545, -0.618,  \
        -0.256, -0.896, -0.868, -0.789,  0.239,  3.751,  3.387,  3.036,  3.561,  2.413,  2.215,  2.547,  \
         1.941,  2.673,  2.845, -0.419, -0.654, -2.511, -2.315, -2.427,  2.235,  1.126,  1.949,  1.549,  \
         1.737, -0.642, -0.746, -0.868,  0.046,  1.293,  0.765,  1.205,  1.086,  3.586, -0.238, -0.252,  \
        -0.316, -0.201, -0.234, -0.104, -0.842,  1.200,  0.613,  1.045, -1.831,  1.371, -0.582, -0.402,  \
        -0.593, -0.974,  0.081,  0.183,  0.379,  0.291,  1.015,  0.666,  0.757,  1.848, -0.328,  0.045,  \
         0.042,  0.360, -0.397, -0.697,  0.389,  3.627,  4.027, -2.006, -2.141, -2.711, -0.017,  0.109,  \
        -0.062, -0.174,  0.332,  0.351,  1.331, -3.235, -3.609, -2.810, -2.675, -3.561, -2.674, -2.502,  \
        -2.052, -1.956, -2.279, -2.056, -2.558, -4.200, -2.997, -3.661, -4.721, -4.523, -4.276, -4.002,  \
        -3.712, -3.602, -3.158, -2.969, -3.006,  2.427,  1.638,  2.458, -0.275, -0.904, -1.138, -1.037,  \
        -1.164, -0.800, -1.178, -1.243, -1.096, -1.137,  1.000, -0.902, -1.565, -2.686, -2.471,  0.057,  \
        -0.059,  0.431,  0.015,  0.388, -0.440,  2.229, -0.022, -1.126, -0.340, -0.136, -0.743, -0.666,  \
        -0.797, -0.612, -0.513, -0.388, -1.219,  0.117,  0.084,  1.127, -1.531, -1.131, -1.267, -1.294,  \
        -1.379, -1.319, -1.330, -1.557, -0.676, -2.854, -3.007, -2.979, -2.102, -3.550, -2.715, -2.296,  \
        -2.367, -1.692, -1.539, -1.228, -1.758, -2.454,  0.235,  0.732,  1.834, -0.625,  0.139,  0.184,  \
         0.601, -0.704, -0.741, -0.865, -1.355, -1.555,  0.283,  1.616,  1.103,  3.012,  2.183,  1.779,  \
         1.352,  1.427,  0.954,  1.766,  2.264, -2.789, -2.280, -1.163, -2.472, -2.472, -2.446, -2.320,  \
        -2.428, -0.016, -0.024,  0.392,  1.052, -3.386, -2.354, -4.171, -3.475, -4.186, -2.962, -2.840,  \
        -2.391, -2.554, -2.297, -2.397, -2.577, -1.756, -1.414, -2.239, -2.364, -2.107, -1.963, -1.809,  \
        -1.845, -1.530, -1.657, -1.053, -2.438,  0.180,  0.435,  0.599,  1.392, -0.914,  0.170,  0.797,  \
         1.123, -0.187, -0.552, -0.688, -0.657, -0.433, -0.987, -0.671, -0.933, -0.635, -0.969, -1.020,  \
        -0.973, -1.019, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN])
    
    # expected self-calibrated PHDI computed from palmer.scpdsi() function using monthly precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_scphdi_monthly = np.array([
        -0.391,  0.556,  0.181,  0.657,  0.862, -3.300, -2.861, -2.404, -2.080, -1.400, -1.114, -1.083,  \
        -0.680, -0.726, -0.934, -1.108, -1.009,  2.853,  2.489,  1.750,  1.765,  1.113,  1.192,  1.073,  \
         0.951,  1.185,  0.564,  0.710, -0.494,  0.244,  1.169, -0.905,  0.886,  1.128,  0.663,  0.640,  \
        -0.454, -0.466, -0.817, -0.943, -1.424, -1.652, -0.979,  1.037, -0.441,  1.589,  1.293,  1.299,  \
         1.180,  1.715,  1.154,  1.369, -1.479,  1.082,  1.174,  0.913,  1.843,  2.534,  1.754,  1.567,  \
         1.712,  1.604,  1.926,  1.969,  2.023, -2.346, -1.959, -1.985, -1.885, -1.337, -1.281, -0.848,  \
        -1.048, -1.092, -0.934, -0.860,  0.441, -0.437,  0.035,  1.498, -1.105, -2.157, -1.978, -1.584,  \
        -1.867, -0.900, -1.122, -1.113, -1.481, -0.898, -1.026, -1.540,  0.920,  2.574,  1.978,  1.889,  \
         2.131,  2.105,  2.252,  1.665,  1.293,  1.775,  1.756,  1.389,  2.425,  1.241,  1.583,  1.379,  \
         1.212,  0.766,  0.559, -0.728,  0.212,  2.190,  1.720,  1.371,  0.940,  3.269,  3.112,  2.628,  \
         2.272,  1.804,  1.510,  1.536,  1.867,  1.315,  2.078,  1.395, -1.731, -2.147, -2.279, -1.515,  \
        -1.393, -1.460, -1.379, -1.424,  0.950, -1.367, -0.958, -1.024, -3.304, -2.679, -2.641, -2.534,  \
        -2.466, -2.360, -2.577, -2.436, -1.115, -3.955, -3.761, -3.474, -2.635, -3.300, -3.025, -2.547,  \
        -2.595, -2.565, -2.687, -2.657, -2.298, -1.435, -1.494,  1.177,  2.115,  2.202,  1.775,  1.425,  \
         1.257,  0.958,  0.652,  0.774,  1.380, -2.459, -1.955, -1.106, -2.717, -2.043, -2.312, -2.002,  \
        -1.805, -1.585, -1.598, -1.646, -1.073, -1.349, -1.494, -1.054, -1.738,  2.293,  1.697,  1.477,  \
         1.114,  0.731, -0.931,  0.126,  1.250, -3.604, -2.421, -3.134, -4.083, -3.989, -2.304, -2.137,  \
        -1.421, -1.259, -1.264, -0.888,  1.975, -2.864, -2.811, -3.143, -2.211, -1.233,  2.478,  2.014,  \
         1.875,  1.797,  1.464,  1.648,  1.718, -2.628, -2.977, -2.746, -2.236, -2.880, -1.453, -1.498,  \
        -1.225, -1.334, -1.216,  1.142,  0.993, -3.791, -2.141, -3.619, -2.274, -1.473, -0.993, -0.698,  \
        -0.695, -0.565,  1.149,  0.972,  1.317,  0.612,  1.032, -2.040, -1.231, -1.127, -1.043, -1.034,  \
        -1.085, -0.867, -0.945,  0.321, -0.248, -1.579, -0.755, -2.314, -2.477,  2.222,  2.038,  1.617,  \
         1.317,  1.049,  1.107,  1.080,  0.984,  1.479,  1.535,  1.097,  1.495,  1.482,  0.884,  0.751,  \
         0.836, -0.838, -0.729, -0.234, -0.793,  1.015,  0.891, -0.400,  0.297,  0.477,  0.026,  0.105,  \
         0.164,  0.439,  0.440,  0.425,  1.111, -1.616, -1.914, -0.970, -2.787, -2.994, -2.684, -2.457,  \
        -2.215, -1.808, -1.968, -1.491,  2.244, -4.204, -2.743, -4.625, -2.706, -2.372, -1.877, -1.738,  \
        -1.778, -1.397, -1.086, -1.307, -0.824, -5.362, -4.903, -4.812, -5.569, -1.731, -2.194, -2.072,  \
        -1.935, -1.886, -2.074, -1.778,  1.839, -2.310, -1.877, -0.917,  1.592,  5.387,  4.901,  4.242,  \
         3.562,  3.059,  2.420,  2.516,  2.298, -2.878, -2.471, -2.022, -1.573, -1.596, -1.906, -1.882,  \
        -1.208, -1.183, -1.434, -0.952, -1.580, -2.430, -1.811, -1.522, -1.286,  1.456,  0.706, -0.675,  \
         0.529,  0.101,  0.334,  0.356,  1.650, -3.042, -3.059, -1.707, -4.208, -4.755, -3.964, -3.251,  \
        -2.452, -2.774, -2.710, -2.328, -2.092,  1.597,  2.354,  2.615,  3.112,  2.804,  2.333,  1.898,  \
         1.691,  1.771,  1.280,  1.203, -1.034, -1.711, -1.250, -1.536, -1.008,  1.137,  0.627, -0.449,  \
        -0.490, -0.355, -0.398, -0.550,  0.339,  0.552,  0.899,  2.216,  2.151,  1.570,  1.268,  1.243,  \
         0.670, -0.723, -0.743, -0.705, -0.155, -3.119, -2.687, -2.231,  1.753,  3.529,  2.732,  2.563,  \
         2.314,  1.944,  1.947,  2.013,  1.568,  1.511,  0.990, -0.756, -1.078,  1.107,  0.627,  0.614,  \
         1.383,  1.011,  1.228,  1.687,  0.766, -1.873, -2.216, -2.807, -1.521, -1.341, -1.577, -1.623,  \
        -1.245, -1.814, -1.760, -1.608,  1.866, -2.161, -2.602, -1.399, -2.964, -1.060, -0.706, -0.863,  \
        -0.769, -0.988, -0.694,  1.288,  0.927, -4.205, -3.113, -3.313, -5.278, -1.263, -1.358, -1.352,  \
        -1.152, -1.020, -0.948, -0.677,  4.689,  1.289,  0.891,  0.798,  1.828,  0.910, -1.953, -1.861,  \
        -1.848, -1.812, -1.965, -1.384, -2.020, -0.569,  1.409, -1.549,  2.482,  2.354,  2.347,  2.025,  \
         2.009,  2.016,  2.002,  1.550,  2.187,  2.160,  2.771,  2.916,  1.206,  1.279,  1.075,  0.868,  \
        -1.153, -0.711,  0.416,  0.158,  0.712, -3.096, -2.637, -2.066, -1.631, -1.364, -1.609, -1.503,  \
        -1.346, -1.327, -1.494, -1.588, -1.122, -1.088, -0.578, -1.695, -1.852, -1.366, -1.521, -1.422,  \
        -1.165, -1.199, -1.255, -1.106, -0.773, -0.711,  0.884, -1.450, -1.560,  1.800,  1.252,  1.309,  \
         0.900,  0.620, -0.500, -0.510, -0.668, -0.804, -0.129, -0.962,  2.211,  1.452,  1.098,  1.173,  \
         1.054,  1.406,  1.639,  2.279,  0.810,  1.087,  1.930, -2.295, -1.769, -1.735, -1.275, -1.145,  \
        -0.936, -0.605, -0.625,  1.274, -0.631,  2.425,  1.180, -1.456, -1.441, -1.426, -1.254, -0.778,  \
        -1.151, -1.139, -1.135, -1.150, -1.029, -1.543, -0.815, -1.893, -1.484,  1.847,  2.293,  1.850,  \
         1.781,  0.884,  0.560, -1.099,  0.691, -4.875, -3.450, -4.557, -3.943, -2.987, -3.234, -2.937,  \
        -2.404, -2.813, -2.886, -2.770, -3.042, -4.035, -3.444, -2.482, -1.983, -0.976, -1.172, -1.049,  \
        -1.053, -1.046, -0.880, -0.876,  1.114, -2.753, -1.989, -3.350, -2.724, -2.942, -2.363, -2.089,  \
        -2.082, -1.489, -1.410, -1.323, -0.936,  3.526,  4.236,  3.715,  2.187,  4.617,  4.042,  3.796,  \
         3.345,  2.344,  2.025,  1.953,  1.612,  0.574,  0.887,  1.658,  2.695,  3.595,  2.536,  2.125,  \
         1.596,  1.085,  0.929,  1.068,  1.407, -3.176, -1.536, -2.139, -2.377, -0.612,  1.794,  1.549,  \
         1.155,  1.003,  0.724,  0.764,  0.691, -2.002, -1.075, -1.885, -3.430, -1.066, -1.281, -0.972,  \
        -1.377, -1.104, -1.394, -0.616, -1.737, -3.009, -2.297, -1.830, -2.680, -1.761, -2.093, -2.097,  \
        -2.072, -1.589, -1.487, -1.266, -1.324, -1.776, -1.151, -1.043, -1.535,  2.393,  1.593,  1.331,  \
         1.799,  1.386,  0.927,  0.795, -1.148,  2.780,  3.116,  1.862,  1.567,  2.325,  1.759,  1.502,  \
         1.266,  1.514,  1.479,  1.878,  2.009, -2.184, -1.718, -1.898, -0.936, -1.407, -1.082, -1.076,  \
        -1.073, -1.167, -1.323, -1.156, -1.042,  2.775,  2.789,  0.588,  0.964, -1.649, -1.774, -1.505,  \
        -1.399, -1.395, -1.588, -1.442, -1.916, -2.329, -2.706, -2.897, -1.885, -1.432, -1.775, -1.698,  \
        -1.770, -1.109, -1.123, -0.895,  1.020, -4.486, -3.695, -2.944, -3.659, -2.785, -2.808, -2.207,  \
        -1.239, -1.316, -0.580, -0.743,  2.798, -2.050, -1.311, -2.547, -2.586, -1.847, -2.092, -1.414,  \
        -1.725, -1.560, -1.079, -1.234,  1.257, -1.275,  0.831, -1.092,  0.926,  2.401,  2.515,  2.210,  \
         1.800,  1.808,  1.296,  1.856,  2.613, -2.523, -1.892, -2.433,  1.643,  1.909,  1.562,  1.297,  \
         1.445,  0.892,  0.582, -0.848,  0.838, -4.059, -4.413, -4.519, -4.917, -4.091, -4.133, -3.833,  \
        -3.294, -3.464, -3.042, -2.689, -2.966,  2.170,  1.742,  1.960,  0.990, -1.502, -0.921, -0.961,  \
        -0.960,  0.520, -0.566, -0.750, -0.133, -3.169, -3.672, -3.300, -0.768, -1.195, -0.782,  1.593,  \
         0.853,  0.975, -0.679,  0.295,  0.018,  2.801,  2.289,  1.657,  2.003,  2.665,  2.170,  1.929,  \
         1.674,  1.849,  1.273,  0.924, -0.981, -0.843, -1.123, -1.939,  1.594,  3.299,  2.693,  2.319,  \
         2.539,  1.948,  1.732,  1.617,  2.277,  3.682,  3.960,  1.893,  2.843,  2.582,  1.821,  1.597,  \
         1.537,  1.399,  1.166,  0.734, -1.166,  3.539,  2.729,  1.908,  2.908,  3.591,  2.929,  2.700,  \
         2.462,  2.589,  2.115,  1.604,  4.363,  4.828,  4.454,  3.765,  5.052,  6.289,  5.309,  4.611,  \
         4.710,  4.159,  3.729,  3.541,  4.039,  5.705,  4.966,  4.546,  5.220,  6.715,  5.696,  5.095,  \
         4.939,  4.421,  3.903,  3.070,  3.648,  0.724,  0.879, -2.672, -2.483, -1.461, -1.851, -1.833,  \
        -1.769, -1.679, -1.809, -1.922, -1.917, -1.217, -1.718, -1.544, -1.235, -0.637, -0.902, -0.644,  \
        -0.818,  0.342,  0.009,  0.465,  0.515, -1.475, -0.900, -2.507, -1.311, -1.529, -1.072, -1.095,  \
        -0.841,  0.863, -0.318, -0.436, -0.884,  1.947,  1.653,  3.514,  1.988,  1.476,  0.945,  1.177,  \
        -1.567, -1.648, -1.904, -1.830, -1.613, -0.945,  0.783, -0.256, -0.691, -0.450, -0.393, -0.346,  \
        -0.604, -0.699, -0.993, -1.205,  0.646, -2.166, -1.928, -1.840, -1.312, -1.291, -1.600, -1.445,  \
        -1.320, -0.807, -1.269, -0.872,  0.572, -1.678, -2.147,  1.566, -0.913, -1.434, -1.143, -1.011,  \
        -0.661, -0.813, -1.260, -1.210,  1.253, -3.628, -3.442, -3.094, -1.485, -1.955, -1.325, -1.115,  \
        -1.153, -0.759, -0.642,  0.963, -0.233, -1.038, -1.417, -0.970, -1.775, -0.921, -1.150, -1.002,  \
        -0.749, -1.203, -1.303,  0.809, -0.376, -0.838, -0.508, -1.002,  1.344,  1.585,  0.966,  1.112,  \
         0.720, -0.554, -0.819, -0.378, -1.197,  0.988,  1.250, -1.249, -0.878, -0.956,  0.952,  0.785,  \
         0.676,  1.282,  1.002, -0.492, -0.746, -0.932, -0.888,  2.839,  3.509,  2.168,  2.032,  1.747,  \
         1.408,  1.100,  1.146,  1.843,  2.117,  0.730, -1.786, -1.795, -1.661, -1.162,  0.829,  0.532,  \
         1.836,  2.593,  2.639,  2.527,  0.998,  2.978,  2.196,  2.122,  2.326,  1.880,  1.769,  1.728,  \
         0.953,  0.911,  0.962,  0.822,  1.337, -3.696, -2.794, -3.755, -2.821, -3.586, -3.190, -3.044,  \
        -2.860, -2.764, -2.444, -2.121, -1.750, -2.509, -1.268, -3.000, -2.420, -2.254, -2.170, -1.793,  \
        -1.802, -1.932, -1.321, -1.314, -1.764, -1.322, -1.653, -1.479, -1.680, -2.010, -1.805, -1.268,  \
        -1.355, -1.618, -1.013, -1.212, -0.691, -2.337, -2.767, -3.421, -1.961, -1.484, -1.038, -0.979,  \
        -0.745, -0.919, -1.062, -1.160,  0.964,  0.508,  1.620,  2.023, -2.246, -2.243, -2.222, -2.179,  \
        -2.181, -2.191, -2.024, -1.935, -2.399, -2.621, -2.223, -2.066, -2.316, -2.366, -2.272, -2.054,  \
        -2.181, -2.210, -2.124, -1.890, -1.133, -4.596, -4.464, -3.741, -5.041, -4.457, -4.055, -3.793,  \
        -3.321, -3.069, -2.641, -2.440, -1.579, -4.111, -3.876, -3.426, -2.126, -1.019, -1.440, -1.369,  \
        -1.250, -1.083, -0.935, -0.702, -1.272,  5.300,  4.235,  4.033,  3.345,  2.051,  2.886,  2.336,  \
         2.878,  2.318,  2.152,  1.975,  1.865,  1.387,  1.101,  0.680, -1.004,  0.936, -0.607, -0.628,  \
        -0.313, -0.021, -0.412, -0.143, -0.193, -1.154, -1.299, -1.123,  1.533,  1.730,  2.152,  2.099,  \
         1.679,  1.022,  0.949,  1.078,  0.882,  3.968,  3.734,  4.390,  2.655,  3.775,  2.882,  2.538,  \
         2.369,  2.029,  1.925,  1.738,  2.124, -1.422, -2.107, -1.778, -1.383,  1.508,  0.807,  0.595,  \
         0.832, -0.896, -0.868, -0.789,  0.239,  3.751,  3.387,  3.036,  3.561,  2.413,  2.215,  2.547,  \
         1.941,  2.673,  2.845,  2.133,  1.635, -2.511, -2.315, -2.427,  2.235,  1.126,  1.949,  1.549,  \
         1.737,  0.916,  0.651, -0.868,  0.046,  1.293,  0.765,  1.205,  1.086,  3.586,  2.979,  2.633,  \
         2.272,  2.121,  1.848,  1.764,  0.833,  1.948,  1.283,  1.646, -1.831,  1.371,  0.648,  0.702,  \
        -0.593, -0.974,  0.081,  0.183,  0.379,  0.291,  1.015,  0.666,  0.757,  1.848,  1.330,  1.238,  \
         1.112,  1.319,  0.787, -0.697,  0.389,  3.627,  4.027,  1.605,  1.098, -2.711, -2.449, -2.088,  \
        -1.934, -1.854, -1.331, -1.141,  1.331, -3.235, -3.609, -2.810, -2.675, -3.561, -2.674, -2.502,  \
        -2.052, -1.956, -2.279, -2.056, -2.558, -4.200, -2.997, -3.661, -4.721, -4.523, -4.276, -4.002,  \
        -3.712, -3.602, -3.158, -2.969, -3.006,  2.427,  1.638,  2.458,  1.930,  1.074,  0.636,  0.555,  \
        -1.164, -0.800, -1.178, -1.243, -1.096, -1.137,  1.000, -0.902, -1.565, -2.686, -2.471, -2.159,  \
        -1.996, -1.360, -1.592, -1.053, -1.384,  2.229,  1.978,  0.668,  1.269,  1.307,  0.552, -0.666,  \
        -0.797, -0.612, -0.513, -0.388, -1.219, -0.977, -0.897,  1.127, -1.531, -1.131, -1.267, -1.294,  \
        -1.379, -1.319, -1.330, -1.557, -0.676, -2.854, -3.007, -2.979, -2.102, -3.550, -2.715, -2.296,  \
        -2.367, -1.692, -1.539, -1.228, -1.758, -2.454, -1.966, -1.243,  1.834,  1.021,  1.055,  1.005,  \
         1.337, -0.704, -0.741, -0.865, -1.355, -1.555, -1.112,  1.616,  1.103,  3.012,  2.183,  1.779,  \
         1.352,  1.427,  0.954,  1.766,  2.264, -2.789, -2.280, -1.163, -2.472, -2.472, -2.446, -2.320,  \
        -2.428, -2.194, -1.978, -1.382,  1.052, -3.386, -2.354, -4.171, -3.475, -4.186, -2.962, -2.840,  \
        -2.391, -2.554, -2.297, -2.397, -2.577, -1.756, -1.414, -2.239, -2.364, -2.107, -1.963, -1.809,  \
        -1.845, -1.530, -1.657, -1.053, -2.438, -2.007, -1.526, -1.160,  1.392, -0.914,  0.170,  0.797,  \
         1.123,  0.820, -0.552, -0.688, -0.657, -0.433, -0.987, -0.671, -0.933, -0.635, -0.969, -1.020,  \
        -0.973, -1.019, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN])
    
    # expected self-calibrated PMDI computed from palmer.scpdsi() function using monthly precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_scpmdi_monthly = np.array([
        -0.391,  0.556, -0.317,  0.657,  0.862, -3.300, -2.682, -1.972, -1.504, -0.243,  0.188,  0.094,  \
         0.738,  0.506,  0.006, -0.397, -0.313,  2.853,  2.340,  0.940,  1.159, -0.082,  0.231,  0.121,  \
         0.002,  0.554, -0.498, -0.130, -0.494,  0.244,  1.169, -0.905,  0.886,  1.128, -0.125, -0.102,  \
        -0.454, -0.466, -0.817, -0.943, -1.424, -1.652, -0.146,  1.037, -0.441,  1.589,  1.014,  1.156,  \
         0.981,  1.715,  0.511,  1.156, -1.479,  1.082,  1.174,  0.551,  1.843,  2.534,  1.025,  0.790,  \
         1.272,  1.195,  1.926,  1.969,  2.023, -2.346, -1.703, -1.961, -1.885, -0.763, -0.770,  0.116,  \
        -0.445, -0.637, -0.389, -0.313,  0.441, -0.437, -0.357,  1.498, -1.105, -2.157, -1.968, -1.241,  \
        -1.867,  0.274, -0.380, -0.477, -1.376, -0.083, -0.497, -1.540,  0.920,  2.574,  1.492,  1.494,  \
         2.131,  2.105,  2.252,  1.127,  0.444,  1.653,  1.756,  1.043,  2.425, -0.037,  0.893,  0.607,  \
         0.388, -0.411, -0.695, -0.728, -0.441,  2.190,  1.324,  0.691, -0.146,  3.269,  3.112,  2.368,  \
         1.850,  1.052,  0.600,  0.811,  1.600,  0.558,  2.078,  0.685, -1.731, -2.147, -2.279, -0.748,  \
        -0.633, -0.928, -0.886, -1.081,  0.950, -1.367, -0.421, -0.693, -3.304, -2.276, -2.466, -2.493,  \
        -2.466, -2.360, -2.577, -2.436,  0.339, -3.955, -3.761, -3.474, -2.002, -3.300, -3.025, -2.282,  \
        -2.595, -2.565, -2.687, -2.657, -2.127, -0.412, -0.708,  1.177,  2.115,  2.202,  1.440,  0.808,  \
         0.570,  0.031, -0.509, -0.139,  1.070, -2.459, -1.566,  0.165, -2.717, -1.484, -2.294, -1.824,  \
        -1.574, -1.248, -1.415, -1.646, -0.388, -1.176, -1.494, -0.516, -1.738,  2.293,  1.155,  0.827,  \
         0.162, -0.541, -0.931, -0.710,  1.250, -3.604, -1.400, -3.134, -4.083, -3.989, -0.766, -0.689,  \
         0.536,  0.627,  0.402,  0.905,  1.975, -2.864, -2.811, -3.143, -1.410,  0.489,  2.478,  1.680,  \
         1.569,  1.575,  0.997,  1.525,  1.718, -2.628, -2.977, -2.746, -1.889, -2.880,  0.010, -0.288,  \
         0.108, -0.280, -0.193,  1.142,  0.833, -3.791, -0.605, -3.619, -1.065,  0.389,  1.148,  1.501,  \
         1.279,  1.309,  1.149,  0.754,  1.317, -0.462,  0.735, -2.040, -0.338, -0.242, -0.182, -0.279,  \
        -0.491, -0.138, -0.379,  0.321, -0.248, -1.579,  0.344, -2.314, -2.477,  2.222,  2.030,  1.251,  \
         0.711,  0.227,  0.472,  0.518,  0.409,  1.479,  1.535,  0.579,  1.495,  1.482,  0.091, -0.138,  \
         0.168, -0.838, -0.729,  0.440, -0.793,  1.015,  0.736, -0.400,  0.297,  0.477, -0.402, -0.279,  \
        -0.180,  0.439,  0.440,  0.425,  1.111, -1.616, -1.914,  0.156, -2.787, -2.994, -2.620, -2.392,  \
        -2.099, -1.404, -1.935, -1.015,  2.244, -4.204, -1.500, -4.625, -1.010, -0.632,  0.089,  0.103,  \
        -0.209,  0.289,  0.651,  0.081,  0.731, -5.362, -4.903, -4.812, -5.569,  1.952,  0.600,  0.488,  \
         0.430,  0.234, -0.358, -0.072,  1.839, -2.310, -1.554,  0.463,  1.592,  5.387,  4.901,  4.012,  \
         3.004,  2.302,  1.274,  1.722,  1.517, -2.878, -2.272, -1.522, -0.731, -0.947, -1.733, -1.864,  \
        -0.444, -0.519, -1.200, -0.205, -1.580, -2.430, -1.267, -0.798, -0.431,  1.456, -0.347, -0.675,  \
         0.529, -0.442,  0.334,  0.356,  1.650, -3.042, -3.059, -0.379, -4.208, -4.755, -3.566, -2.457,  \
        -1.111, -2.040, -2.171, -1.645, -1.382,  1.597,  2.354,  2.615,  3.112,  2.758,  2.002,  1.275,  \
         1.013,  1.348,  0.465,  0.435, -1.034, -1.711, -0.753, -1.536, -0.350,  1.137, -0.241, -0.449,  \
        -0.490, -0.355, -0.398, -0.550,  0.339,  0.552,  0.899,  2.216,  2.151,  1.018,  0.480,  0.560,  \
        -0.578, -0.723, -0.743, -0.705,  0.477, -3.119, -2.490, -1.758,  1.753,  3.529,  2.157,  2.072,  \
         1.791,  1.226,  1.418,  1.701,  0.930,  0.955,  0.008, -0.756, -1.078,  1.107, -0.212, -0.158,  \
         1.383,  0.544,  1.214,  1.687, -0.424, -1.873, -2.216, -2.807, -0.215, -0.017, -0.692, -0.946,  \
        -0.326, -1.514, -1.546, -1.365,  1.866, -2.161, -2.602, -0.146, -2.964,  0.970,  1.501,  0.954,  \
         0.944,  0.358,  0.736,  1.288,  0.436, -4.205, -2.296, -3.045, -5.278,  2.673,  2.063,  1.706,  \
         1.747,  1.677,  1.516,  1.707,  4.689, -2.078, -2.527, -2.353, -0.114, -1.525, -1.953, -1.861,  \
        -1.848, -1.812, -1.965, -0.786, -2.020,  1.218,  1.409, -1.549,  2.482,  2.354,  2.347,  1.853,  \
         2.009,  2.016,  2.002,  1.141,  2.187,  2.160,  2.771,  2.916, -0.597, -0.230, -0.466, -0.704,  \
        -1.153,  0.012,  0.416, -0.215,  0.712, -3.096, -2.404, -1.411, -0.672, -0.279, -0.941, -0.870,  \
        -0.686, -0.750, -1.094, -1.392, -0.458, -0.494,  0.535, -1.695, -1.852, -0.872, -1.380, -1.287,  \
        -0.793, -0.977, -1.223, -0.952, -0.151, -0.069,  0.884, -1.450, -1.560,  1.800,  0.653,  0.922,  \
         0.080, -0.456, -0.500, -0.510, -0.668, -0.804,  0.592, -0.962,  2.211,  0.674,  0.024,  0.330,  \
         0.200,  1.011,  1.627,  2.279, -0.889, -0.095,  1.838, -2.295, -1.320, -1.423, -0.545, -0.386,  \
        -0.052,  0.530,  0.374,  1.274, -0.631,  2.425, -0.176, -1.456, -1.441, -1.426, -1.130, -0.005,  \
        -1.032, -1.116, -1.135, -1.150, -0.926, -1.543,  0.154, -1.893, -1.109,  1.847,  2.293,  1.511,  \
         1.540, -0.339, -0.913, -1.099,  0.691, -4.875, -2.351, -4.557, -3.721, -2.085, -2.913, -2.603,  \
        -1.769, -2.813, -2.886, -2.770, -3.042, -4.035, -3.182, -1.465, -0.671,  1.183,  0.565,  0.603,  \
         0.415,  0.267,  0.405,  0.275,  1.114, -2.753, -1.323, -3.350, -2.327, -2.942, -1.960, -1.595,  \
        -1.786, -0.691, -0.674, -0.625,  0.041,  3.526,  4.236,  3.559,  0.659,  4.617,  3.872,  3.762,  \
         3.182,  1.365,  0.935,  1.000,  0.502, -1.380, -0.590,  0.932,  2.695,  3.595,  1.660,  1.044,  \
         0.158, -0.685, -0.795, -0.348,  0.424, -3.176,  0.117, -1.396, -2.097,  1.450,  1.794,  1.390,  \
         0.584,  0.337, -0.206, -0.016, -0.083, -2.002, -0.006, -1.885, -3.430,  1.394,  0.678,  1.074,  \
         0.074,  0.407, -0.284,  0.938, -0.972, -3.009, -1.743, -0.949, -2.680, -0.887, -1.815, -2.018,  \
        -2.072, -1.153, -1.075, -0.709, -0.962, -1.776, -0.433, -0.301, -1.535,  2.393,  0.806,  0.386,  \
         1.555,  0.801, -0.073, -0.232, -1.148,  2.780,  3.116,  0.664,  0.243,  2.022,  1.035,  0.665,  \
         0.330,  0.951,  0.960,  1.878,  2.009, -2.184, -1.326, -1.898,  0.220, -1.012, -0.398, -0.494,  \
        -0.585, -0.820, -1.265, -0.966, -0.779,  2.775,  2.789, -1.866, -0.814, -1.649, -1.774, -1.305,  \
        -1.201, -1.321, -1.588, -1.391, -1.916, -2.329, -2.706, -2.897, -0.941, -0.154, -1.064, -1.072,  \
        -1.350, -0.128, -0.281,  0.052,  1.020, -4.486, -3.262, -2.040, -3.659, -2.140, -2.475, -1.464,  \
         0.364,  0.015,  1.297,  0.798,  2.798, -2.050, -0.519, -2.547, -2.586, -1.181, -1.922, -0.609,  \
        -1.428, -1.221, -0.306, -0.746,  1.257, -1.275,  0.831, -1.092,  0.926,  2.401,  2.515,  2.088,  \
         1.380,  1.576,  0.598,  1.856,  2.613, -2.523, -1.352, -2.433,  1.643,  1.909,  1.280,  0.804,  \
         1.270,  0.078, -0.538, -0.848,  0.838, -4.059, -4.413, -4.519, -4.917, -3.674, -4.133, -3.833,  \
        -3.066, -3.464, -2.904, -2.446, -2.966,  2.170,  1.399,  1.960, -0.153, -1.502, -0.164, -0.372,  \
        -0.467,  0.520, -0.566, -0.750,  0.540, -3.169, -3.672, -3.248,  1.933,  0.767,  1.369,  1.593,  \
        -0.109,  0.305, -0.679, -0.314, -0.528,  2.801,  1.947,  0.768,  1.703,  2.665,  1.828,  1.508,  \
         1.130,  1.661,  0.534, -0.108, -0.981, -0.843, -1.123, -1.939,  1.594,  3.299,  2.312,  1.768,  \
         2.471,  1.409,  1.126,  1.043,  2.277,  3.682,  3.960, -0.097,  2.169,  1.903,  0.588,  0.340,  \
         0.402,  0.302,  0.020, -0.613, -1.166,  3.539,  2.140,  0.644,  2.908,  3.591,  2.524,  2.326,  \
         2.082,  2.589,  1.787,  0.848,  4.363,  4.828,  4.454,  3.445,  5.052,  6.289,  4.889,  3.977,  \
         4.644,  3.963,  3.478,  3.448,  4.039,  5.705,  4.744,  4.370,  5.220,  6.715,  5.284,  4.616,  \
         4.804,  4.222,  3.582,  2.230,  3.648, -2.344, -1.706, -2.672, -2.483, -0.409, -1.450, -1.583,  \
        -1.602, -1.559, -1.809, -1.922, -1.917, -0.438, -1.718, -1.475, -0.868,  0.478, -0.254,  0.237,  \
        -0.229,  0.342, -0.342,  0.465,  0.515, -1.475, -0.141, -2.507, -0.041, -0.699,  0.132, -0.063,  \
         0.319,  0.863,  0.456, -0.436, -0.884,  1.947,  1.452,  3.514,  0.546, -0.303, -1.173, -0.490,  \
        -1.567, -1.648, -1.904, -1.830, -1.500, -0.040,  0.783,  0.447, -0.691, -0.450, -0.393, -0.346,  \
        -0.604, -0.699, -0.993, -1.205,  0.646, -2.166, -1.841, -1.834, -0.750, -0.837, -1.600, -1.385,  \
        -1.217, -0.029, -1.269, -0.308,  0.572, -1.678, -2.147,  1.566, -0.913, -1.434, -0.828, -0.597,  \
         0.201, -0.262, -1.260, -1.210,  1.253, -3.628, -3.442, -3.041,  0.172, -1.044,  0.070,  0.316,  \
         0.077,  0.669,  0.731,  0.963,  0.632, -1.038, -1.417, -0.391, -1.775,  0.130, -0.539, -0.313,  \
         0.152, -0.875, -1.191,  0.809, -0.376, -0.838, -0.508, -1.002,  1.344,  1.585,  0.185,  0.658,  \
        -0.184, -0.554, -0.819, -0.378, -1.197,  0.988,  1.250, -1.249, -0.350, -0.656,  0.952,  0.785,  \
         0.676,  1.282,  0.653, -0.492, -0.746, -0.932, -0.888,  2.839,  3.509,  0.943,  0.899,  0.525,  \
         0.029, -0.402, -0.145,  1.216,  1.823, -0.961, -1.786, -1.795, -1.661, -0.593,  0.829,  0.532,  \
         1.836,  2.593,  2.639,  2.527, -0.693,  2.978,  1.550,  1.614,  2.263,  1.488,  1.425,  1.497,  \
        -0.091, -0.056,  0.166, -0.019,  0.995, -3.696, -2.122, -3.755, -2.120, -3.586, -3.098, -3.044,  \
        -2.860, -2.764, -2.336, -1.863, -1.243, -2.509,  0.059, -3.000, -2.026, -1.904, -1.943, -1.325,  \
        -1.502, -1.932, -0.672, -0.795, -1.764, -0.867, -1.653, -1.398, -1.680, -2.010, -1.740, -0.646,  \
        -0.978, -1.618, -0.269, -0.871,  0.275, -2.337, -2.767, -3.421, -0.579,  0.203,  0.910,  0.814,  \
         1.065,  0.560,  0.154, -0.148,  0.964,  0.508,  1.620,  2.023, -2.246, -2.243, -2.222, -2.179,  \
        -2.181, -2.191, -2.024, -1.935, -2.399, -2.621, -1.997, -1.868, -2.316, -2.366, -2.272, -2.009,  \
        -2.181, -2.210, -2.124, -1.801, -0.215, -4.596, -4.464, -3.383, -5.041, -4.327, -3.935, -3.790,  \
        -3.165, -2.959, -2.342, -2.167, -0.550, -4.111, -3.876, -3.307, -0.844,  1.255,  0.158,  0.098,  \
         0.143,  0.285,  0.395,  0.648, -0.425,  5.300,  3.599,  3.608,  2.573,  0.225,  2.168,  1.338,  \
         2.568,  1.669,  1.543,  1.376,  1.327,  0.535,  0.113, -0.553, -1.004,  0.936, -0.607, -0.628,  \
         0.362,  0.585, -0.412,  0.345,  0.244, -1.154, -1.299, -0.961,  1.533,  1.730,  2.152,  2.099,  \
         1.333, -0.033, -0.065,  0.340,  0.033,  3.968,  3.734,  4.390,  1.129,  3.775,  2.232,  1.787,  \
         1.685,  1.203,  1.185,  0.983,  1.859, -1.422, -2.107, -1.558, -0.812,  1.508, -0.137, -0.552,  \
         0.124, -0.896, -0.868, -0.789, -0.469,  3.751,  3.354,  2.942,  3.561,  1.428,  1.262,  2.193,  \
         1.160,  2.673,  2.845,  1.550,  0.666, -2.511, -2.315, -2.427,  2.235, -0.110,  1.895,  1.158,  \
         1.737, -0.103, -0.607, -0.868, -0.732,  1.293, -0.017,  1.205,  1.002,  3.586,  2.639,  2.192,  \
         1.675,  1.574,  1.199,  1.195, -0.549,  1.725,  0.433,  1.341, -1.831,  1.371, -0.416, -0.167,  \
        -0.593, -0.974, -0.792, -0.601,  0.379, -0.340,  1.015,  0.014,  0.372,  1.848,  0.788,  0.706,  \
         0.533,  1.093, -0.064, -0.697,  0.389,  3.627,  4.027, -0.781, -1.549, -2.711, -2.408, -1.843,  \
        -1.707, -1.708, -0.688, -0.392,  1.331, -3.235, -3.609, -2.245, -2.242, -3.561, -1.998, -1.903,  \
        -1.188, -1.195, -2.023, -1.756, -2.558, -4.200, -2.050, -3.661, -4.721, -4.523, -4.276, -4.002,  \
        -3.712, -3.602, -3.012, -2.925, -3.006,  2.427,  0.873,  2.458,  1.510, -0.239, -1.036, -1.031,  \
        -1.164, -0.235, -1.178, -1.243, -0.971, -1.137,  1.000, -0.902, -1.565, -2.686, -2.471, -2.021,  \
        -1.869, -0.614, -1.274, -0.224, -1.025,  2.229,  1.882, -0.968,  0.531,  0.740, -0.740, -0.666,  \
        -0.797, -0.612, -0.513, -0.388, -1.219, -0.669, -0.542,  1.127, -1.531, -0.670, -1.127, -1.294,  \
        -1.379, -1.319, -1.330, -1.557,  0.525, -2.854, -3.007, -2.979, -1.340, -3.550, -2.098, -1.472,  \
        -1.857, -0.659, -0.522, -0.059, -1.203, -2.454, -1.597, -0.152,  1.834,  0.051,  0.263,  0.265,  \
         1.076, -0.704, -0.741, -0.865, -1.355, -1.555, -0.593,  1.616,  0.499,  3.012,  1.486,  0.824,  \
         0.098,  0.424, -0.382,  1.294,  2.264, -2.789, -1.939,  0.323, -2.472, -2.472, -2.446, -2.320,  \
        -2.428, -2.150, -1.880, -0.703,  1.052, -3.386, -1.475, -4.171, -3.108, -4.186, -1.991, -2.044,  \
        -1.387, -1.965, -1.675, -2.049, -2.577, -0.984, -0.407, -2.239, -2.364, -2.024, -1.908, -1.750,  \
        -1.845, -1.280, -1.657, -0.325, -2.438, -1.709, -0.817, -0.156,  1.392, -0.914, -0.650,  0.797,  \
         1.123,  0.350, -0.552, -0.688, -0.657, -0.433, -0.987, -0.671, -0.933, -0.635, -0.969, -1.020,  \
        -0.973, -1.019, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN])
    
    # expected self-calibrated Z-Index computed from palmer.scpdsi() function using monthly precip, PET, and AWC= 4.5 
    # as inputs, with start year == 1895 and calibration period for monthly as 1981 - 2010  
    fixture_palmer_sczindex_monthly = np.array([
        -1.174,  1.667, -0.952,  1.485,  0.819, -9.900,  0.297,  0.486,  0.230,  1.398,  0.424, -0.252,  \
         0.875, -0.347, -0.849, -0.809, -0.046,  8.560, -0.211, -1.449,  0.588, -1.413,  0.581,  0.011,  \
        -0.034,  0.996, -1.498,  0.615, -0.804,  0.731,  2.852, -2.716,  2.659,  0.998, -1.046,  0.135,  \
        -0.642, -0.176, -1.197, -0.630, -1.737, -1.122,  1.507,  1.761, -1.322,  4.766, -0.394,  0.417,  \
         0.045,  1.969, -1.152,  1.003, -4.409,  3.246,  0.611, -0.420,  3.072,  2.643, -1.556, -0.021,  \
         0.921,  0.205,  1.461,  0.724,  0.770, -7.037,  0.435, -0.682, -0.315,  1.063, -0.246,  0.904,  \
        -0.862, -0.455,  0.135, -0.067,  1.267, -1.310,  0.104,  4.402, -3.314, -3.498, -0.128,  0.570,  \
        -1.339,  2.322, -0.944, -0.318, -1.448,  1.292, -0.662, -1.859,  2.760,  5.248, -0.993,  0.345,  \
         1.309,  0.581,  1.092, -1.065, -0.602,  1.845,  0.492, -0.558,  3.538, -2.803,  1.408, -0.121,  \
        -0.076, -0.963, -0.384, -0.289,  0.635,  6.000, -0.735, -0.514, -0.870,  7.279,  0.537, -0.491,  \
        -0.256, -0.701, -0.326,  0.544,  1.469, -1.080,  2.697, -1.408, -3.931, -1.784, -1.059,  1.588,  \
        -0.101, -0.632, -0.208, -0.562,  2.849, -4.100,  0.804, -0.493, -7.158,  0.854, -0.713, -0.495,  \
        -0.581, -0.442, -1.382, -0.373,  3.212, -8.866, -0.641, -0.301,  1.444, -2.811, -0.195,  0.500,  \
        -0.930, -0.713, -1.158, -0.740,  0.256,  1.879, -0.619,  2.390,  3.178,  0.912, -0.600, -0.502,  \
        -0.063, -0.509, -0.621,  0.567,  2.057, -7.378,  0.753,  1.943, -5.175,  1.183, -1.439,  0.216,  \
        -0.026,  0.102, -0.529, -0.639,  1.210, -1.158, -0.853,  0.860, -2.379,  6.878, -1.079, -0.134,  \
        -0.632, -0.807, -0.767,  0.378,  3.412, -10.813,  2.437, -2.889, -3.813, -0.981,  3.821, -0.209,  \
         1.487,  0.048, -0.407,  0.740,  2.723, -8.593, -0.726, -1.864,  1.826,  2.249,  3.949, -0.627,  \
         0.207,  0.344, -0.443,  1.004,  0.720, -7.883, -1.859, -0.226,  0.680, -2.624,  3.391, -0.583,  \
         0.357, -0.706, -0.059,  2.198, -0.096, -11.286,  3.779, -5.098,  2.919,  1.698,  0.985,  0.578,  \
        -0.206,  0.176, -0.107, -0.176,  1.335, -1.708,  1.448, -6.045,  1.797, -0.069, -0.096, -0.295,  \
        -0.472,  0.318, -0.500,  0.942, -0.744, -4.070,  1.984, -4.910, -1.204,  6.667,  0.133, -0.633,  \
        -0.400, -0.397,  0.497,  0.262,  0.047,  1.787,  0.626, -0.839,  1.531,  0.423, -1.335, -0.127,  \
         0.487, -1.886,  0.069,  1.259, -1.749,  3.045, -0.059, -1.147,  0.890,  0.632, -1.205,  0.246,  \
         0.211,  0.875,  0.139,  0.091,  2.188, -4.848, -1.394,  2.242, -5.751, -1.483,  0.005, -0.149,  \
        -0.031,  0.536, -1.039,  0.822,  5.994, -12.613,  3.085, -6.494,  4.327,  0.169,  0.752, -0.163,  \
        -0.658,  0.595,  0.501, -0.999,  1.046, -13.870, -0.279, -1.242, -3.757,  9.793, -1.923, -0.312,  \
        -0.230, -0.451, -1.148,  0.248,  3.299, -6.929,  0.585,  2.298,  2.244, 11.876,  0.207, -0.461,  \
        -0.729, -0.409, -0.972,  1.037,  0.123, -7.948,  0.332,  0.583,  0.723, -0.557, -1.424, -0.517,  \
         1.441, -0.299, -1.117,  1.003, -2.179, -3.037,  1.107,  0.307,  0.236,  3.111, -1.801, -0.410,  \
         1.588, -1.121,  0.729,  0.171,  3.991, -9.126, -0.990,  3.110, -8.029, -2.944,  0.904,  0.916,  \
         1.391, -1.722, -0.666,  0.308, -0.009,  4.440,  2.765,  1.509,  2.300,  0.037, -0.547, -0.584,  \
        -0.034,  0.763, -0.928,  0.166, -2.409, -2.351,  0.855, -1.245,  1.109,  2.417, -1.178, -0.291,  \
        -0.261,  0.254, -0.241, -0.577,  1.018,  0.744,  1.210,  4.229,  0.489, -1.077, -0.422,  0.317,  \
        -1.335, -0.223, -0.285, -0.115,  1.431, -8.940,  0.334,  0.536,  4.508,  5.871, -1.302,  0.338,  \
         0.045, -0.397,  0.609,  0.801, -0.713,  0.313, -1.096, -1.022, -1.200,  3.322, -1.100,  0.156,  \
         2.495, -0.687,  0.963,  1.755, -2.241, -3.608, -1.608, -2.457,  2.990,  0.071, -1.122, -0.626,  \
         0.633, -2.093, -0.399, -0.087,  5.599, -6.482, -1.992,  2.805, -5.126,  4.795,  0.734, -0.689,  \
         0.016, -0.894,  0.576,  1.576, -0.684, -12.001,  1.976, -1.562, -6.918, 10.413, -0.674, -0.401,  \
         0.181,  0.041, -0.101,  0.521,  9.253, -8.750, -0.797, -0.004,  3.338, -2.188, -0.983, -0.328,  \
        -0.536, -0.462, -1.018,  1.134, -2.336,  3.730,  0.880, -4.646,  7.446,  0.382,  0.707, -0.243,  \
         0.580,  0.642,  0.579, -0.736,  2.388,  0.595,  2.502,  1.290, -4.227,  0.589, -0.217, -0.288,  \
        -0.715,  0.970,  0.377, -0.645,  1.711, -9.289,  0.422,  0.898,  0.666,  0.297, -1.156, -0.180,  \
         0.006, -0.359, -0.910, -0.745,  0.908, -0.245,  1.196, -3.532, -0.994,  0.886, -0.888, -0.174,  \
         0.333, -0.464, -0.538,  0.059,  0.658, -0.052,  2.126, -4.349, -0.779,  5.401, -1.090,  0.560,  \
        -0.822, -0.563, -0.032, -0.183, -0.632, -0.614,  1.777, -2.539,  6.634, -1.596, -0.611,  0.563,  \
         0.006,  1.382,  1.132,  2.426, -3.701,  1.081,  2.864, -6.885,  0.869, -0.446,  0.844, -0.003,  \
         0.271,  0.704, -0.245,  2.619, -1.892,  7.275, -2.984, -1.691, -0.405, -0.400,  0.076,  1.040,  \
        -1.358, -0.320, -0.339, -0.397,  0.009, -1.859,  1.706, -3.485,  0.642,  4.964,  1.909, -0.620,  \
         0.366, -2.140, -0.701, -0.809,  2.072, -14.624,  2.769, -4.389,  0.435,  1.650, -1.665, -0.107,  \
         0.692, -1.972, -1.088, -0.543, -1.672, -3.918,  0.526,  1.820,  0.730,  2.409, -0.889,  0.006,  \
        -0.337, -0.303,  0.174, -0.260,  2.039, -8.259,  1.442, -4.697,  0.843, -1.496,  0.829,  0.089,  \
        -0.624,  1.137, -0.224, -0.172,  0.752,  9.397,  3.220, -0.255, -3.436,  7.967, -0.299,  0.512,  \
        -0.182, -1.968, -0.233,  0.409, -0.419, -2.615,  1.117,  2.587,  3.624,  3.532, -2.068, -0.449,  \
        -0.931, -1.039, -0.134,  0.706,  1.346, -8.792,  3.939, -2.283, -1.374,  4.561,  1.291, -0.180,  \
        -0.706, -0.099, -0.525,  0.343,  0.018, -5.353,  2.163, -2.762, -5.217,  6.030, -0.973,  0.529,  \
        -1.514,  0.394, -1.213,  1.905, -3.554, -4.351,  1.204,  0.692, -3.114,  1.927, -1.540, -0.657,  \
        -0.573,  0.806, -0.184,  0.203, -0.565, -1.765,  1.327, -0.031, -1.798,  7.180, -1.661, -0.295,  \
         1.816, -0.685, -0.948, -0.109, -2.088,  8.341,  1.867, -2.800, -0.310,  2.760, -0.979, -0.229,  \
        -0.245,  1.138,  0.360,  1.655,  0.973, -6.553,  0.725, -1.072,  2.300, -1.703,  0.541, -0.317,  \
        -0.324, -0.614, -0.827,  0.091, -0.014,  8.266,  0.898, -5.741,  1.309, -1.501, -0.886,  0.260,  \
        -0.149, -0.418, -1.011, -0.053, -1.868, -1.830, -1.849, -1.410,  2.139,  0.777, -1.471, -0.318,  \
        -0.739,  1.434, -0.384,  0.336,  2.033, -13.458,  0.988,  1.111, -3.056,  1.492, -0.929,  0.934,  \
         2.224, -0.615,  1.802, -0.668,  5.792, -6.149,  1.581, -4.113, -0.904,  1.418, -1.306,  1.387,  \
        -1.368, -0.039,  0.962, -0.799,  3.714, -3.824,  2.493, -3.275,  2.777,  4.712,  1.083, -0.136,  \
        -0.547,  0.580, -0.978,  2.080,  2.846, -7.569,  1.112, -2.208,  4.929,  1.305, -0.450, -0.311,  \
         0.843, -1.213, -0.653, -0.983,  2.515, -12.178, -2.315, -1.681, -2.592,  0.959, -1.389, -0.379,  \
         0.434, -1.527,  0.196,  0.118, -1.660,  6.511, -0.615,  1.192, -2.303, -2.439,  1.279, -0.405,  \
        -0.295,  1.226, -1.698, -0.727,  1.619, -9.150, -2.487, -0.018,  6.574, -1.518,  0.870,  0.474,  \
        -1.726,  0.630, -1.211,  0.884, -0.738,  8.353, -0.671, -1.189,  1.550,  2.604, -0.662, -0.050,  \
        -0.169,  1.040, -1.154, -0.654, -1.429,  0.111, -1.101, -2.793,  4.781,  5.610, -0.799, -0.291,  \
         1.376, -0.987, -0.046,  0.189,  2.481,  4.918,  1.972, -4.978,  3.435,  0.095, -1.485, -0.108,  \
         0.314,  0.061, -0.266, -0.937, -1.468, 10.616, -1.337, -1.617,  3.589,  2.947, -0.876,  0.219,  \
         0.121,  1.140, -0.622, -0.880,  8.773,  2.744,  0.371, -0.691,  5.025,  5.269, -0.997, -0.451,  \
         1.720, -0.198, -0.003,  0.587,  2.588,  6.246, -0.452,  0.274,  3.426,  6.099, -0.983, -0.043,  \
         1.106, -0.027, -0.188, -1.293,  2.683, -7.646,  0.689, -2.480, -0.260,  2.298, -1.620, -0.519,  \
        -0.375, -0.274, -0.911, -0.898, -0.577,  1.507, -1.880, -0.010,  0.451,  1.411, -0.990,  0.493,  \
        -0.720,  0.815, -0.894,  1.370,  0.294, -4.425,  1.268, -5.099,  2.813, -1.059,  0.900, -0.401,  \
         0.423,  0.933, -0.953, -0.452, -1.480,  5.840, -0.279,  6.093, -3.490, -0.923, -1.138,  0.988,  \
        -1.748, -0.725, -1.277, -0.367,  0.086,  1.505,  0.930, -0.767, -1.384,  0.507,  0.034,  0.020,  \
        -0.882, -0.473, -1.097, -0.944,  1.937, -6.498,  0.044, -0.332,  1.016, -0.344, -1.324, -0.032,  \
        -0.072,  1.131, -1.634,  0.799,  0.999, -5.035, -1.924,  4.698, -2.740, -1.843,  0.428,  0.044,  \
         0.737, -0.660, -1.592, -0.239,  3.760, -10.883, -0.565, -0.017,  3.870, -1.870,  1.287,  0.221,  \
        -0.460,  0.825,  0.118,  0.727, -0.698, -2.487, -1.458,  0.904, -2.715,  2.013, -0.971,  0.087,  \
         0.449, -1.593, -0.673,  2.426, -1.129, -1.501,  0.731, -1.640,  4.032,  1.139, -1.368,  0.736,  \
        -0.832, -0.520, -0.968,  1.071, -2.574,  2.964,  1.091, -3.747,  0.727, -0.506,  2.727, -0.209,  \
        -0.084,  2.027, -0.443, -1.078, -0.915, -0.788, -0.156,  8.518,  2.886, -2.940,  0.262, -0.225,  \
        -0.478, -0.489,  0.477,  2.445,  1.392, -3.505, -2.215, -0.578, -0.152,  0.984,  1.606, -0.636,  \
         4.076,  2.838,  0.939,  0.479, -3.805,  6.247, -1.425,  0.456,  1.270, -0.621,  0.248,  0.425,  \
        -1.793,  0.169,  0.436, -0.125,  1.799, -11.087,  1.563, -3.747,  1.642, -3.167,  0.082, -0.550,  \
        -0.389, -0.596,  0.107,  0.212,  0.458, -2.817,  2.947, -5.588,  0.813, -0.248, -0.446,  0.462,  \
        -0.581, -0.949,  1.236, -0.387, -1.755,  0.783, -1.404,  0.012, -1.061, -1.508, -0.008,  1.054,  \
        -0.651, -1.209,  1.314, -0.909,  1.187, -5.151, -2.011, -2.816,  3.322,  0.824,  0.880, -0.144,  \
         0.399, -0.752, -0.710, -0.624,  2.157, -1.071,  3.495,  1.710, -6.738, -0.684, -0.630, -0.558,  \
        -0.679, -0.706, -0.175, -0.361, -1.988, -1.408,  0.384, -0.214, -1.389, -0.865, -0.449, -0.049,  \
        -1.015, -0.761, -0.425,  0.046,  1.686, -10.738, -1.024,  0.790, -5.056,  0.195, -0.174, -0.465,  \
         0.243, -0.270,  0.335, -0.212,  1.828, -8.082, -0.567,  0.154,  2.842,  2.663, -1.578, -0.232,  \
        -0.067,  0.115,  0.111,  0.409, -1.927, 15.804, -1.557,  0.703, -0.816, -2.850,  3.139, -0.757,  \
         2.347, -0.789,  0.218,  0.133,  0.281, -0.857, -0.429, -0.923, -1.221,  2.807, -1.820, -0.253,  \
         0.752,  0.779, -1.180,  0.681, -0.194, -2.942, -0.791,  0.127,  4.487,  1.064,  1.801,  0.504,  \
        -0.612, -1.450,  0.094,  0.682, -0.254,  9.530,  0.525,  3.122, -3.847,  4.180, -1.512, -0.144,  \
         0.278, -0.287,  0.315,  0.032,  1.696, -4.266, -2.495,  0.335,  0.635,  3.683, -1.636, -0.387,  \
         0.895, -1.998, -0.194, -0.032,  0.716, 10.610,  0.067, -0.006,  2.512, -2.343,  0.152,  1.681,  \
        -1.031,  2.796,  1.341, -1.256, -0.835, -5.772, -0.190, -1.050,  6.704, -2.635,  2.815, -0.596,  \
         1.042, -1.926, -0.511, -0.594,  0.138,  3.757, -1.186,  1.556,  0.015,  7.836, -0.713, -0.116,  \
        -0.270,  0.248, -0.163,  0.318, -2.247,  3.601, -1.393,  1.486, -5.492,  4.114, -1.745,  0.361,  \
        -0.700, -1.325,  0.244,  0.331,  0.644, -0.148,  2.263, -0.732,  0.479,  3.507, -0.985,  0.136,  \
         0.005,  0.965, -1.190, -1.025,  1.167,  9.835,  2.318, -6.019, -1.025, -2.371, -0.052,  0.328,  \
        -0.185, -0.357,  0.995,  0.159,  3.049, -9.706, -2.120,  1.282, -0.464, -3.485,  1.560, -0.311,  \
         0.579, -0.348, -1.573, -0.035, -2.142, -5.716,  2.312, -2.920, -4.310, -0.866, -0.657, -0.498,  \
        -0.368, -0.816,  0.220, -0.410, -1.029,  7.281, -1.618,  2.968, -0.825, -1.973, -0.982, -0.046,  \
        -0.701,  0.732, -1.381, -0.561,  0.057, -0.461,  3.000, -2.706, -2.268, -3.848, -0.184,  0.172,  \
        -0.178,  1.292, -1.115,  1.124, -1.319,  6.688, -0.066, -3.318,  2.008,  0.507, -1.861,  0.001,  \
        -0.599,  0.308,  0.109,  0.216, -2.614,  0.352, -0.063,  3.153, -4.593,  0.729, -0.760, -0.471,  \
        -0.655, -0.247, -0.440, -1.093,  2.163, -6.744, -1.342, -0.844,  1.709, -4.992,  1.409,  0.416,  \
        -0.921,  1.293, -0.063,  0.458, -1.970, -2.632,  0.706,  1.561,  3.534, -1.874,  0.418,  0.176,  \
         1.307, -2.111, -0.329, -0.601, -1.738, -1.019,  0.849,  4.085, -1.038,  6.068, -1.556, -0.539,  \
        -0.732,  0.643, -0.978,  2.731,  2.040, -8.367,  0.666,  2.644, -4.286, -0.765, -0.684, -0.378,  \
        -1.042, -0.048, -0.029,  1.176,  2.101, -10.157,  2.051, -6.181,  0.802, -3.207,  2.376, -0.549,  \
         0.471, -1.229, -0.017, -1.011, -1.279,  1.666,  0.483, -2.912, -1.066,  0.040, -0.219, -0.144,  \
        -0.668,  0.375, -0.852,  1.299, -4.479,  0.539,  0.822,  0.626,  2.565, -2.743,  0.511,  1.932,  \
         1.224, -0.561, -1.152, -0.578, -0.119,  0.468, -1.796,  0.645, -0.994,  0.605, -1.198, -0.453,  \
        -0.174, -0.438, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN,  np.NaN ])
    
    # precipitation time series from climate division 0101, 189501 - 201707
    fixture_palmer_precip_AL01 = np.array([
        7.37, 1.41, 7.17, 2.72, 3.06, 4.04, 4.58, 4.00, 3.41, 2.28, 1.83, 5.83, \
        2.47, 7.46, 6.23, 4.34, 2.92, 4.50, 3.78, 1.94, 2.67, 1.59, 6.20, 1.32, \
        3.85, 3.74, 14.40, 4.99, 2.87, 2.12, 3.93, 3.66, 0.03, 1.74, 2.13, 8.54, \
        7.07, 1.34, 4.43, 4.29, 1.86, 2.61, 5.52, 3.67, 2.83, 3.72, 3.55, 2.43, \
        5.79, 6.39, 9.93, 2.99, 1.50, 2.22, 6.04, 3.44, 0.57, 1.85, 3.93, 7.28, \
        3.64, 4.92, 4.17, 10.56, 3.86, 12.40, 4.64, 2.26, 2.76, 6.40, 3.44, 3.25, \
        5.25, 2.73, 4.74, 4.78, 4.28, 3.80, 2.74, 11.41, 5.78, 1.04, 1.81, 6.54, \
        4.75, 3.68, 8.18, 2.59, 1.46, 3.08, 2.96, 2.80, 4.24, 2.60, 5.74, 5.88, \
        4.02, 10.13, 5.09, 3.67, 5.94, 4.45, 3.56, 4.06, 0.62, 2.28, 3.64, 3.55, \
        2.64, 1.45, 6.80, 3.06, 3.81, 3.04, 5.06, 2.56, 1.83, 0.40, 3.27, 5.72, \
        4.37, 6.57, 3.97, 3.67, 5.12, 6.58, 3.64, 4.45, 3.32, 6.29, 1.30, 5.17, \
        4.94, 1.39, 6.40, 1.60, 3.72, 2.84, 8.62, 2.56, 7.58, 4.13, 3.59, 4.37, \
        2.31, 4.75, 3.84, 4.50, 8.14, 3.70, 4.51, 2.43, 5.77, 1.96, 4.83, 4.15, \
        4.08, 6.04, 5.06, 4.82, 6.28, 4.18, 3.49, 3.40, 2.60, 0.99, 1.69, 6.54, \
        2.87, 8.76, 6.18, 6.18, 5.96, 6.74, 4.38, 1.81, 2.77, 2.68, 1.85, 4.30, \
        4.38, 5.02, 0.85, 2.75, 5.66, 6.63, 6.94, 1.78, 2.16, 3.99, 1.74, 4.04, \
        4.79, 5.13, 2.57, 11.59, 2.28, 3.98, 6.40, 5.59, 2.14, 4.07, 3.90, 11.24, \
        4.36, 4.11, 9.59, 8.92, 5.24, 3.90, 6.26, 5.63, 3.28, 2.05, 1.47, 6.85, \
        8.99, 5.29, 5.65, 2.16, 3.98, 4.45, 2.88, 2.42, 4.52, 2.43, 1.23, 3.26, \
        1.72, 4.05, 4.40, 4.44, 1.98, 2.52, 3.42, 4.91, 2.39, 2.44, 2.63, 7.37, \
        4.92, 4.23, 3.10, 0.89, 4.12, 2.85, 5.30, 5.95, 3.38, 3.55, 6.23, 5.99, \
        5.70, 3.40, 2.62, 3.09, 5.18, 4.89, 12.12, 3.30, 0.72, 1.71, 2.31, 5.74, \
        6.21, 4.53, 11.64, 4.23, 3.31, 5.00, 5.98, 2.33, 3.44, 1.96, 1.32, 1.57, \
        6.79, 2.29, 1.12, 6.83, 3.91, 4.87, 3.31, 1.58, 3.43, 8.10, 3.74, 3.85, \
        4.62, 3.60, 9.05, 2.97, 6.95, 5.26, 3.55, 6.69, 0.65, 7.98, 6.56, 3.94, \
        5.46, 3.25, 7.96, 10.92, 5.88, 5.38, 4.01, 5.77, 2.49, 0.53, 3.21, 5.75, \
        3.18, 6.02, 4.37, 6.74, 1.84, 3.31, 4.76, 4.55, 4.16, 2.43, 4.43, 2.79, \
        6.11, 4.89, 10.64, 5.98, 5.58, 4.04, 3.73, 2.83, 1.03, 1.34, 1.96, 8.48, \
        5.51, 5.63, 6.85, 6.39, 7.08, 3.62, 4.36, 6.86, 1.65, 2.15, 4.94, 7.34, \
        6.11, 4.94, 4.39, 6.89, 6.17, 4.47, 1.80, 2.75, 2.32, 0.01, 0.57, 6.18, \
        5.28, 3.16, 2.71, 2.46, 1.93, 2.13, 3.78, 2.17, 2.24, 8.00, 5.57, 2.88, \
        4.25, 2.71, 3.85, 1.98, 3.62, 4.96, 2.74, 6.71, 0.87, 2.94, 6.01, 12.41, \
        3.41, 4.26, 6.83, 4.92, 4.77, 6.23, 2.97, 2.85, 0.91, 2.46, 5.94, 7.58, \
        2.51, 2.14, 6.10, 8.58, 4.37, 10.09, 3.96, 5.91, 1.65, 4.89, 4.22, 1.51, \
        5.73, 4.80, 10.70, 5.53, 6.21, 3.92, 3.64, 1.34, 5.73, 4.72, 8.41, 3.35, \
        2.77, 3.53, 5.33, 0.86, 7.39, 1.32, 2.68, 2.54, 3.20, 2.55, 5.79, 3.09, \
        2.48, 4.38, 4.40, 2.76, 3.32, 1.51, 4.37, 4.13, 0.78, 2.24, 3.92, 11.29, \
        8.00, 7.02, 4.37, 5.76, 2.21, 5.39, 5.67, 5.45, 4.23, 9.60, 3.39, 9.23, \
        2.70, 6.56, 5.32, 4.36, 6.11, 1.55, 5.31, 3.15, 2.08, 1.49, 2.42, 4.22, \
        3.29, 3.24, 7.57, 2.68, 2.62, 6.13, 4.91, 4.32, 3.76, 3.06, 3.88, 3.44, \
        4.73, 4.31, 8.32, 4.28, 5.56, 3.63, 1.53, 2.03, 1.70, 5.06, 5.64, 2.36, \
        5.33, 4.32, 6.56, 7.09, 1.28, 1.72, 7.89, 2.24, 3.32, 4.59, 3.00, 6.05, \
        11.12, 3.94, 2.89, 5.67, 4.41, 2.96, 4.02, 4.04, 3.06, 6.14, 2.07, 3.73, \
        4.85, 1.29, 6.68, 6.32, 4.56, 5.38, 5.71, 5.13, 0.95, 0.37, 5.56, 2.22, \
        6.75, 12.16, 5.89, 4.91, 5.49, 8.58, 3.43, 3.17, 2.73, 0.81, 1.23, 3.09, \
        2.68, 5.80, 5.80, 4.48, 2.97, 3.81, 7.09, 3.52, 1.01, 2.18, 5.22, 4.16, \
        3.71, 1.25, 3.47, 3.11, 0.56, 2.80, 6.31, 3.55, 1.37, 3.53, 3.19, 3.78, \
        2.64, 4.69, 5.23, 1.81, 1.51, 2.40, 2.40, 5.78, 3.06, 2.47, 1.83, 8.58, \
        1.57, 2.92, 6.19, 2.75, 2.83, 2.68, 2.83, 2.43, 5.92, 0.82, 2.14, 3.33, \
        2.97, 9.85, 9.92, 5.06, 3.07, 2.25, 2.98, 4.60, 3.62, 0.58, 2.75, 7.04, \
        4.32, 9.23, 5.77, 4.99, 3.42, 3.99, 2.96, 3.88, 2.43, 2.08, 6.24, 5.67, \
        10.19, 9.26, 5.48, 3.58, 6.09, 3.94, 5.58, 3.26, 5.77, 2.25, 6.46, 3.67, \
        9.87, 2.09, 4.73, 5.09, 3.78, 4.57, 2.23, 3.46, 1.53, 2.09, 6.34, 2.99, \
        3.73, 11.42, 9.09, 2.92, 4.20, 3.12, 4.63, 1.49, 3.95, 1.09, 12.52, 4.48, \
        13.09, 4.34, 6.12, 3.47, 4.18, 7.14, 5.09, 4.04, 3.54, 4.37, 1.04, 4.24, \
        12.16, 7.56, 7.97, 2.75, 4.68, 4.27, 7.82, 7.64, 3.57, 1.10, 4.33, 2.74, \
        7.02, 6.09, 9.64, 4.81, 0.75, 5.10, 4.50, 1.39, 4.72, 2.28, 5.85, 11.11, \
        6.74, 3.43, 6.25, 2.28, 3.21, 1.35, 1.86, 5.96, 2.71, 2.42, 3.80, 4.15, \
        6.04, 8.57, 4.60, 6.65, 4.95, 1.84, 5.02, 0.77, 3.42, 0.27, 0.83, 6.31, \
        9.66, 3.46, 2.06, 5.32, 4.02, 1.99, 2.46, 1.94, 1.30, 2.18, 3.23, 7.34, \
        3.02, 7.14, 8.22, 5.39, 5.70, 2.39, 5.47, 1.89, 0.63, 2.26, 3.40, 3.30, \
        3.01, 9.58, 3.68, 7.51, 2.87, 4.45, 3.45, 3.70, 1.67, 3.37, 2.01, 7.66, \
        8.40, 6.70, 3.11, 3.67, 3.54, 4.82, 2.61, 2.44, 6.49, 3.40, 11.75, 4.59, \
        2.73, 3.73, 3.41, 7.76, 4.13, 3.59, 8.52, 2.81, 5.79, 0.85, 4.46, 0.89, \
        4.65, 3.82, 4.17, 4.69, 5.65, 3.62, 4.16, 4.12, 2.87, 4.57, 3.58, 6.86, \
        5.47, 3.35, 7.07, 2.25, 3.50, 3.67, 2.55, 5.29, 5.55, 4.97, 3.56, 3.03, \
        2.48, 7.50, 8.63, 2.90, 4.38, 5.30, 3.38, 3.71, 1.93, 1.81, 5.65, 11.32, \
        8.67, 7.80, 5.30, 6.28, 1.67, 4.30, 3.14, 2.05, 4.27, 2.36, 4.13, 3.09, \
        2.86, 2.52, 8.83, 6.28, 4.65, 4.45, 5.23, 1.96, 0.93, 0.03, 4.43, 4.68, \
        5.89, 4.39, 10.26, 10.13, 2.55, 1.95, 5.77, 4.05, 4.28, 4.11, 4.30, 4.93, \
        3.47, 5.56, 8.84, 4.04, 1.98, 5.06, 5.13, 4.16, 3.02, 1.25, 1.24, 1.31, \
        5.31, 5.04, 2.13, 4.48, 5.98, 2.13, 4.14, 5.30, 5.11, 2.65, 2.57, 5.77, \
        2.14, 4.47, 1.95, 4.15, 7.95, 3.78, 8.18, 7.27, 2.53, 3.16, 4.43, 9.77, \
        6.27, 1.32, 6.04, 4.47, 6.21, 1.32, 4.18, 3.04, 4.01, 2.10, 3.77, 4.96, \
        4.74, 6.64, 3.44, 7.33, 4.61, 2.76, 4.71, 4.26, 3.57, 4.00, 3.40, 10.10, \
        2.29, 3.21, 6.74, 10.23, 3.39, 4.34, 3.09, 3.15, 2.54, 6.15, 2.43, 4.29, \
        5.84, 8.46, 5.65, 4.00, 3.58, 3.06, 5.40, 3.85, 4.27, 1.86, 2.06, 8.12, \
        7.41, 2.60, 5.87, 3.33, 4.18, 3.54, 5.97, 2.49, 5.67, 3.90, 5.47, 7.34, \
        6.46, 4.84, 15.43, 5.48, 5.15, 5.01, 5.32, 2.10, 2.55, 3.46, 7.64, 6.95, \
        11.61, 6.12, 4.29, 4.60, 7.33, 4.18, 4.18, 4.17, 4.44, 1.70, 4.86, 7.13, \
        6.38, 5.17, 13.23, 3.16, 5.21, 4.20, 6.46, 4.08, 7.01, 8.90, 3.85, 3.71, \
        3.99, 3.72, 7.04, 1.34, 5.69, 5.78, 4.16, 2.92, 4.41, 5.14, 2.57, 3.54, \
        3.60, 3.60, 9.22, 7.21, 2.44, 3.33, 2.47, 2.42, 8.19, 4.99, 10.05, 2.65, \
        4.13, 0.76, 4.81, 2.84, 7.90, 4.19, 3.92, 2.63, 2.15, 1.28, 3.85, 7.04, \
        7.66, 4.52, 4.95, 7.88, 4.83, 2.94, 6.18, 5.34, 7.61, 2.80, 7.21, 2.65, \
        4.88, 1.86, 15.16, 5.42, 7.40, 2.82, 3.24, 2.64, 6.41, 2.40, 4.75, 1.00, \
        1.70, 3.81, 4.86, 3.41, 3.32, 4.24, 4.52, 5.74, 1.70, 3.48, 3.61, 3.56, \
        9.75, 5.04, 3.57, 7.45, 3.04, 3.14, 5.26, 4.95, 1.47, 2.42, 5.61, 9.43, \
        2.99, 5.49, 5.53, 10.98, 10.83, 4.63, 1.73, 2.18, 2.26, 2.21, 7.87, 10.90, \
        3.07, 3.22, 5.59, 5.90, 8.53, 2.46, 4.22, 2.52, 0.43, 8.15, 6.39, 2.34, \
        3.61, 4.43, 2.64, 3.59, 5.19, 3.90, 5.48, 6.05, 2.81, 5.47, 2.72, 2.21, \
        0.80, 3.87, 3.11, 0.65, 6.43, 4.89, 2.98, 4.53, 4.19, 4.78, 10.08, 5.32, \
        4.74, 7.05, 3.86, 1.54, 2.16, 4.02, 3.29, 1.91, 4.64, 1.00, 5.43, 5.55, \
        4.16, 2.45, 3.17, 4.24, 2.07, 0.49, 4.95, 1.70, 7.13, 3.65, 6.72, 4.75, \
        8.44, 8.13, 6.07, 3.23, 4.38, 11.38, 6.99, 3.95, 7.33, 2.72, 5.31, 3.67, \
        7.24, 9.08, 7.62, 4.27, 5.54, 2.86, 3.33, 0.99, 2.28, 3.65, 3.98, 17.41, \
        3.16, 10.18, 8.24, 10.40, 11.35, 2.91, 3.32, 3.10, 3.37, 2.07, 3.59, 12.52, \
        2.62, 3.56, 5.05, 2.44, 2.08, 7.22, 5.90, 4.94, 4.91, 3.17, 5.89, 5.06, \
        4.49, 2.82, 6.50, 4.05, 5.10, 2.97, 2.37, 5.48, 5.55, 1.96, 3.81, 5.30, \
        6.55, 8.24, 9.68, 3.55, 5.37, 7.02, 7.02, 2.68, 3.19, 5.57, 4.65, 3.73, \
        4.94, 4.74, 4.59, 5.57, 3.59, 3.72, 4.11, 3.98, 3.77, 6.45, 5.51, 4.13, \
        7.00, 2.37, 6.84, 5.39, 2.08, 3.12, 6.85, 3.87, 6.44, 3.17, 5.65, 6.80, \
        6.41, 4.98, 5.91, 4.00, 6.76, 10.71, 2.24, 4.45, 4.98, 6.23, 2.90, 4.04, \
        7.60, 6.56, 4.98, 5.80, 3.50, 2.97, 6.05, 3.63, 1.17, 2.19, 3.10, 7.78, \
        10.38, 3.13, 6.17, 4.00, 4.77, 6.81, 3.50, 0.64, 1.16, 1.46, 5.00, 3.11, \
        4.96, 2.91, 4.96, 8.83, 1.45, 4.55, 2.61, 1.35, 2.32, 0.14, 7.82, 4.13, \
        5.92, 6.10, 5.19, 4.91, 6.08, 6.79, 4.60, 5.91, 5.13, 4.74, 4.08, 6.29, \
        6.97, 2.39, 7.59, 1.64, 6.68, 2.58, 4.99, 3.47, 6.91, 4.91, 4.25, 6.55, \
        2.17, 8.60, 2.84, 4.37, 9.43, 5.08, 4.63, 4.45, 5.33, 1.58, 5.57, 3.44, \
        3.41, 7.89, 5.78, 3.77, 4.18, 6.50, 5.90, 4.56, 4.66, 5.34, 7.75, 8.64, \
        3.50, 5.08, 3.10, 5.82, 1.14, 5.58, 5.56, 6.01, 3.92, 0.07, 4.10, 5.08, \
        6.87, 3.24, 2.65, 5.36, 4.06, 2.02, 2.65, 3.08, 3.85, 4.93, 4.95, 4.06, \
        3.68, 2.23, 1.20, 3.68, 1.00, 1.92, 5.35, 2.08, 2.40, 3.80, 3.41, 2.64, \
        2.84, 4.41, 4.83, 4.39, 6.27, 2.15, 3.20, 5.18, 1.19, 3.51, 2.89, 11.31, \
        4.01, 3.56, 5.94, 4.84, 8.26, 2.93, 6.26, 3.80, 8.94, 9.20, 2.45, 6.36, \
        5.40, 3.60, 4.69, 3.01, 6.71, 3.03, 3.87, 3.61, 1.91, 3.82, 6.05, 2.21, \
        4.74, 2.48, 9.15, 10.97, 2.60, 4.47, 3.05, 4.37, 7.06, 1.53, 4.92, 6.54, \
        7.11, 3.00, 4.14, 1.81, 3.23, 2.34, 6.51, 3.90, 5.97, 4.26, 1.63, 6.50, \
        8.61, 3.37, 5.56, 5.93, 5.26, 4.13, 9.63, 4.19, 3.57, 1.52, 3.80, 6.33, \
        2.45, 5.59, 2.85, 7.20, 3.13, 6.89, 4.59, 3.73, 1.76, 8.25, 3.82, 6.01, \
        4.24, 4.27, 6.33, 6.88, 5.48, 2.39, 5.68, 6.89, 1.08, 3.19, 6.37, 11.71, \
        4.23, 5.90, 5.00, 3.95, 1.48, 3.73, 4.89, 5.45, 0.67, 0.45, 3.73, 5.43, \
        5.71, 2.71, 5.42, 4.50, 5.51, 6.03, 5.31, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    fixture_palmer_pet_AL01 = np.array([
        3.37, 0.13, 27.76, 63.94, 94.82, 139.02, 147.91, 145.12, 115.85, 36.22, 22.72, 8.51, \
        5.56, 10.63, 21.81, 81.38, 128.86, 133.82, 163.89, 159.15, 101.62, 48.42, 28.80, 9.37, \
        2.99, 17.16, 41.19, 59.63, 91.67, 153.58, 165.82, 143.55, 114.07, 68.84, 23.14, 9.96, \
        12.79, 8.50, 43.59, 44.23, 118.56, 156.89, 163.54, 147.22, 113.19, 48.27, 15.53, 5.30, \
        5.32, 0.21, 29.55, 56.47, 131.21, 155.23, 164.11, 159.54, 97.72, 66.75, 29.09, 5.66, \
        6.17, 5.89, 24.79, 63.22, 104.54, 136.39, 161.27, 159.54, 122.17, 72.01, 24.63, 10.11, \
        7.48, 4.08, 28.77, 42.98, 95.28, 146.50, 179.79, 137.86, 89.93, 52.27, 13.27, 2.47, \
        4.19, 0.89, 29.81, 55.09, 128.13, 151.38, 172.75, 151.99, 94.41, 57.70, 35.33, 7.03, \
        6.17, 11.17, 43.28, 54.07, 99.86, 110.72, 159.01, 147.75, 97.72, 56.73, 17.55, 2.22, \
        2.99, 11.92, 35.57, 44.67, 97.73, 139.06, 145.54, 141.64, 111.96, 54.95, 19.24, 8.79, \
        0.08, 0.18, 44.80, 61.77, 116.58, 142.74, 146.82, 141.47, 104.48, 56.41, 25.94, 6.02, \
        10.53, 7.28, 17.77, 68.37, 99.40, 142.74, 147.36, 146.70, 120.80, 48.57, 23.56, 14.14, \
        22.85, 9.07, 58.35, 36.36, 83.33, 127.09, 166.40, 153.06, 105.77, 51.96, 16.44, 9.22, \
        5.68, 7.15, 49.63, 73.51, 107.57, 136.95, 155.44, 145.29, 105.02, 46.92, 29.72, 13.28, \
        11.96, 16.61, 29.81, 60.34, 93.02, 140.08, 156.76, 156.29, 101.08, 51.34, 40.72, 1.60, \
        7.08, 4.51, 50.11, 54.75, 87.68, 122.54, 150.65, 141.47, 117.19, 64.36, 16.25, 3.00, \
        13.29, 21.23, 36.58, 57.87, 112.67, 153.03, 145.18, 137.35, 127.68, 68.84, 14.12, 14.14, \
        1.29, 3.41, 20.00, 65.95, 106.61, 122.57, 157.68, 142.68, 111.96, 59.81, 16.03, 7.82, \
        15.04, 6.63, 29.03, 58.92, 107.38, 142.74, 169.27, 155.21, 102.35, 46.17, 28.86, 10.87, \
        11.31, 6.89, 19.28, 62.13, 102.19, 174.44, 173.91, 145.64, 98.97, 57.05, 19.28, 2.73, \
        2.99, 11.65, 9.32, 66.51, 117.57, 140.08, 152.86, 130.25, 108.80, 61.33, 27.72, 9.08, \
        15.94, 8.53, 25.36, 54.21, 111.90, 130.71, 153.22, 145.81, 96.18, 54.31, 22.04, 7.15, \
        10.37, 9.36, 28.52, 62.13, 76.55, 133.26, 156.76, 137.35, 98.14, 35.15, 17.18, 1.01, \
        0.00, 16.42, 49.16, 53.05, 116.09, 150.84, 143.56, 155.21, 81.62, 68.84, 19.28, 17.36, \
        5.80, 9.95, 31.12, 56.82, 91.22, 147.04, 160.70, 142.51, 106.20, 86.40, 27.05, 7.82, \
        6.43, 8.53, 24.87, 54.90, 104.25, 133.82, 156.00, 133.96, 111.52, 59.81, 15.14, 7.42, \
        12.12, 14.30, 58.01, 58.22, 103.59, 160.79, 172.75, 148.28, 134.72, 47.97, 30.02, 13.79, \
        6.30, 17.34, 30.85, 71.40, 108.33, 144.88, 156.76, 137.86, 114.96, 59.01, 26.60, 18.30, \
        14.51, 6.01, 25.52, 54.41, 93.02, 138.50, 156.76, 141.99, 104.91, 51.96, 18.31, 21.04, \
        1.57, 6.75, 16.37, 58.73, 82.19, 148.70, 154.89, 154.83, 92.08, 60.14, 24.36, 6.77, \
        7.48, 17.91, 34.08, 79.97, 94.37, 164.72, 171.59, 148.81, 147.26, 51.65, 17.74, 4.19, \
        4.41, 13.78, 15.11, 48.73, 100.79, 137.97, 159.57, 150.40, 127.22, 65.04, 12.60, 10.72, \
        8.73, 26.95, 31.65, 76.02, 109.77, 134.82, 163.54, 133.27, 116.30, 62.33, 33.85, 7.29, \
        5.32, 8.97, 27.09, 45.94, 94.08, 126.11, 161.62, 151.62, 90.46, 63.82, 19.43, 8.51, \
        7.75, 4.40, 38.86, 68.37, 98.02, 136.92, 160.70, 143.03, 102.77, 47.97, 18.70, 6.64, \
        4.19, 19.05, 21.28, 66.14, 107.38, 135.35, 180.97, 146.70, 114.07, 47.36, 20.47, 3.68, \
        4.86, 12.13, 13.94, 51.37, 87.24, 151.38, 169.27, 134.80, 128.15, 69.19, 37.35, 21.45, \
        17.24, 25.03, 17.83, 60.50, 95.90, 148.16, 170.78, 154.29, 99.09, 48.73, 13.74, 8.37, \
        16.87, 8.79, 26.51, 53.73, 121.05, 144.35, 157.32, 143.55, 125.83, 57.38, 22.72, 23.94, \
        11.31, 3.98, 22.66, 60.34, 106.90, 149.75, 171.59, 156.83, 100.23, 60.33, 27.27, 6.14, \
        7.48, 11.02, 48.84, 58.22, 102.66, 125.56, 166.97, 159.54, 102.77, 59.67, 21.89, 0.83, \
        1.95, 3.61, 39.27, 49.18, 114.33, 156.93, 166.18, 154.29, 119.98, 57.85, 16.03, 12.95, \
        23.70, 9.07, 21.74, 58.92, 107.86, 153.03, 154.53, 155.21, 97.30, 47.36, 16.80, 6.64, \
        8.45, 22.87, 50.43, 62.49, 107.86, 130.16, 159.57, 153.60, 101.92, 63.00, 23.14, 7.96, \
        11.64, 14.64, 36.58, 52.71, 98.94, 144.88, 159.01, 138.89, 116.30, 63.68, 15.17, 10.11, \
        0.00, 5.74, 26.84, 54.90, 85.64, 133.30, 143.91, 145.81, 93.30, 58.83, 19.82, 15.71, \
        7.75, 3.48, 14.92, 69.50, 115.11, 145.96, 161.27, 147.75, 118.09, 80.74, 18.89, 12.62, \
        2.89, 3.78, 30.07, 66.88, 103.59, 147.04, 165.82, 135.30, 93.59, 58.68, 28.63, 7.96, \
        8.73, 12.78, 20.38, 58.22, 115.60, 165.29, 171.59, 161.72, 88.72, 47.97, 16.62, 6.51, \
        6.81, 19.36, 30.68, 55.59, 113.36, 156.38, 155.44, 141.64, 104.17, 53.68, 21.84, 4.09, \
        4.97, 12.29, 57.00, 67.63, 88.12, 133.26, 153.97, 141.47, 113.19, 51.34, 26.82, 1.60, \
        7.61, 13.28, 48.84, 71.78, 91.67, 129.65, 151.76, 127.25, 92.77, 55.44, 34.83, 15.36, \
        11.96, 1.19, 11.90, 67.26, 91.22, 133.26, 136.60, 160.08, 110.98, 76.69, 18.50, 10.11, \
        0.06, 11.43, 36.41, 75.45, 98.65, 147.08, 161.06, 140.09, 95.77, 46.62, 25.00, 11.81, \
        17.81, 15.17, 26.75, 51.04, 106.90, 139.02, 162.40, 138.89, 87.92, 68.84, 19.28, 11.98, \
        29.06, 17.16, 23.13, 47.10, 115.11, 132.74, 144.10, 124.78, 90.73, 66.75, 12.11, 2.64, \
        8.59, 12.45, 30.85, 51.37, 98.48, 142.74, 162.40, 160.63, 104.48, 60.33, 11.95, 13.46, \
        17.62, 16.29, 25.36, 54.90, 106.61, 171.61, 176.02, 149.50, 90.06, 33.72, 19.04, 8.09, \
        14.51, 12.61, 38.28, 50.37, 114.62, 163.03, 157.89, 145.64, 101.92, 62.67, 19.28, 5.66, \
        8.59, 19.64, 25.77, 77.20, 79.07, 143.81, 179.79, 168.34, 121.25, 60.33, 17.36, 6.26, \
        4.86, 10.40, 36.29, 73.31, 113.16, 113.63, 161.83, 151.46, 114.51, 50.72, 18.12, 6.77, \
        3.08, 19.76, 28.35, 53.87, 114.33, 133.82, 159.93, 146.86, 91.27, 62.14, 18.08, 23.93, \
        6.81, 24.34, 23.13, 70.64, 107.86, 143.28, 153.42, 143.55, 98.97, 41.50, 23.56, 13.29, \
        1.57, 0.01, 17.15, 57.52, 100.79, 138.50, 154.53, 137.86, 101.50, 50.72, 26.38, 2.91, \
        3.98, 11.65, 22.66, 57.87, 111.70, 129.13, 156.20, 148.81, 104.48, 61.66, 16.25, 11.34, \
        6.05, 4.02, 4.72, 65.58, 86.96, 136.95, 160.49, 146.34, 102.04, 57.85, 19.43, 2.22, \
        1.03, 18.29, 36.58, 44.87, 84.19, 117.06, 142.48, 133.27, 102.77, 50.10, 24.20, 8.94, \
        2.80, 21.84, 17.99, 48.40, 128.64, 134.82, 159.01, 149.34, 100.66, 61.33, 18.50, 3.10, \
        0.37, 2.05, 39.44, 68.37, 99.86, 133.26, 143.56, 141.47, 95.23, 67.79, 23.77, 0.00, \
        4.75, 4.46, 27.84, 68.56, 105.66, 145.46, 148.81, 134.47, 102.46, 42.80, 28.34, 11.02, \
        8.17, 7.28, 15.51, 71.78, 113.65, 131.19, 151.21, 138.89, 104.48, 49.80, 30.02, 10.72, \
        0.69, 9.65, 27.51, 59.63, 90.78, 125.56, 166.97, 133.78, 94.82, 44.98, 25.72, 7.82, \
        8.17, 4.40, 42.38, 77.59, 90.33, 132.74, 131.87, 116.50, 80.46, 48.27, 14.47, 14.48, \
        2.80, 0.98, 24.39, 60.50, 91.38, 135.91, 149.91, 148.44, 90.06, 53.68, 20.02, 4.51, \
        4.09, 7.02, 11.90, 62.49, 99.40, 137.97, 168.12, 134.80, 91.55, 53.53, 16.25, 4.85, \
        0.59, 6.01, 23.60, 68.37, 101.26, 126.58, 147.36, 145.12, 118.09, 54.17, 16.25, 14.14, \
        5.20, 7.28, 16.94, 54.75, 81.19, 142.74, 146.82, 133.78, 106.20, 72.72, 21.07, 21.45, \
        11.16, 9.41, 29.38, 62.30, 94.54, 122.57, 142.83, 137.01, 112.84, 50.87, 14.96, 10.87, \
        3.67, 7.28, 46.65, 50.04, 85.49, 137.44, 155.65, 133.78, 113.63, 67.45, 32.39, 9.22, \
        18.20, 10.71, 47.27, 57.87, 104.07, 112.66, 150.10, 135.30, 80.84, 46.76, 21.68, 8.94, \
        12.12, 14.12, 22.89, 53.05, 108.81, 131.19, 145.18, 138.89, 82.78, 56.41, 24.85, 8.10, \
        1.72, 21.81, 40.44, 56.97, 75.44, 121.57, 143.37, 126.45, 87.25, 36.11, 7.89, 3.98, \
        0.00, 7.02, 38.86, 70.26, 110.74, 140.08, 168.69, 149.34, 106.63, 44.10, 27.05, 6.14, \
        0.00, 0.04, 19.94, 63.94, 93.02, 138.50, 160.14, 143.55, 111.86, 45.57, 35.83, 9.37, \
        0.00, 3.78, 31.91, 58.92, 93.47, 125.56, 149.55, 135.30, 91.14, 51.96, 19.67, 8.51, \
        7.61, 2.47, 20.22, 51.84, 98.65, 136.95, 177.78, 159.69, 114.61, 43.67, 20.02, 6.77, \
        1.50, 10.10, 22.89, 78.38, 85.06, 147.04, 161.27, 135.30, 86.72, 49.49, 25.72, 5.07, \
        3.08, 8.93, 38.28, 45.82, 110.74, 125.06, 156.76, 135.30, 90.73, 54.17, 23.99, 18.49, \
        3.77, 9.65, 25.77, 40.83, 89.00, 123.54, 159.57, 161.17, 96.89, 57.70, 22.30, 1.67, \
        1.03, 13.26, 24.39, 51.51, 90.49, 138.53, 144.99, 134.47, 93.30, 76.09, 18.85, 24.14, \
        0.00, 4.95, 38.57, 65.04, 99.86, 135.87, 150.10, 134.80, 91.55, 66.07, 39.67, 2.06, \
        4.52, 15.70, 31.65, 60.70, 105.01, 142.74, 170.43, 135.81, 110.98, 56.08, 28.86, 7.55, \
        4.19, 12.45, 33.80, 51.37, 121.55, 141.14, 159.01, 158.45, 98.14, 37.31, 27.72, 13.96, \
        1.57, 6.49, 28.35, 58.02, 92.73, 139.59, 156.56, 155.90, 102.04, 38.02, 27.66, 8.79, \
        14.33, 8.09, 35.18, 52.71, 86.80, 125.56, 148.46, 137.35, 93.59, 51.96, 23.56, 0.00, \
        15.04, 23.91, 36.29, 53.73, 90.33, 137.97, 152.86, 150.40, 113.19, 52.90, 30.49, 13.79, \
        7.61, 14.12, 34.90, 69.13, 115.11, 137.97, 161.83, 144.07, 104.91, 57.05, 16.99, 15.01, \
        6.81, 16.85, 29.38, 56.97, 90.05, 119.57, 153.22, 120.07, 94.94, 49.34, 21.23, 8.79, \
        11.16, 7.15, 22.43, 46.78, 95.28, 136.92, 174.50, 148.81, 93.18, 49.18, 19.28, 8.10, \
        1.43, 12.94, 30.33, 68.75, 84.19, 143.28, 145.18, 130.75, 88.72, 57.70, 33.36, 15.54, \
        7.21, 8.50, 38.86, 62.85, 103.59, 125.06, 159.01, 160.08, 95.23, 52.90, 13.10, 5.90, \
        4.52, 8.11, 18.47, 49.18, 114.33, 135.91, 151.56, 135.48, 89.65, 53.37, 18.46, 13.79, \
        6.30, 16.79, 43.59, 44.87, 82.04, 118.05, 159.01, 133.27, 101.08, 50.41, 14.47, 6.39, \
        12.29, 13.78, 27.76, 55.09, 116.09, 155.78, 164.68, 145.64, 120.80, 66.07, 29.09, 14.48, \
        13.46, 17.91, 21.97, 77.20, 98.94, 136.92, 165.82, 155.21, 102.77, 55.44, 31.20, 11.03, \
        7.08, 19.97, 40.73, 49.51, 117.28, 139.06, 160.49, 154.29, 102.46, 63.82, 21.23, 0.40, \
        2.19, 16.24, 19.94, 70.64, 101.72, 126.58, 154.53, 140.44, 91.14, 46.17, 34.09, 15.01, \
        10.22, 8.23, 29.03, 71.01, 92.57, 140.61, 162.40, 148.81, 117.19, 64.36, 16.44, 7.29, \
        0.97, 8.36, 34.90, 63.94, 101.26, 121.03, 148.46, 146.70, 95.23, 55.12, 34.09, 6.26, \
        5.93, 7.69, 41.32, 55.93, 117.28, 133.82, 146.63, 122.02, 99.09, 69.67, 32.56, 7.28, \
        13.98, 16.06, 26.26, 57.17, 89.45, 133.78, 159.01, 156.29, 111.86, 55.44, 27.05, 4.19, \
        17.05, 6.63, 32.45, 81.17, 98.94, 137.97, 168.69, 163.91, 92.77, 46.47, 21.89, 12.95, \
        8.88, 5.18, 51.40, 51.04, 110.74, 148.66, 151.76, 178.46, 113.63, 67.10, 23.56, 18.11, \
        4.19, 12.75, 31.21, 56.97, 96.81, 145.46, 159.93, 139.06, 103.31, 51.49, 16.40, 10.56, \
        4.75, 12.78, 36.01, 55.78, 101.72, 147.58, 140.87, 136.32, 103.63, 47.97, 25.72, 6.14, \
        0.97, 1.97, 22.89, 68.00, 111.22, 158.00, 172.17, 166.12, 109.67, 56.73, 25.94, 1.98, \
        1.87, 13.95, 34.35, 69.50, 98.02, 155.23, 168.69, 152.53, 88.32, 46.47, 27.27, 12.46, \
        14.33, 17.42, 63.38, 69.31, 118.77, 138.53, 172.52, 138.55, 94.12, 48.73, 18.27, 17.54, \
        11.80, 10.40, 17.15, 56.82, 92.57, 140.61, 143.56, 135.30, 104.91, 58.68, 15.89, 9.37, \
        0.13, 7.41, 21.97, 57.87, 102.66, 140.08, 135.54, 138.37, 107.93, 60.00, 12.60, 13.62, \
        4.52, 1.13, 32.45, 68.00, 105.95, 149.20, 165.82, 135.81, 103.20, 60.00, 36.08, 29.00, \
        4.19, 14.30, 44.33, 64.48, 97.73, 151.97, 169.05, 154.83, 119.98, 75.00, 33.28, 12.46, \
        19.77, 25.63, 37.14, 79.57, 98.02, 132.23, 162.97, 18.25, 16.23, 15.25, 13.54, 13.39 ])
    
    # underlying layer of soil water field capacity (need to add 1 inch to get total AWC for water balance calculation
    fixture_palmer_awc_AL01 = 5.0

    # runoff         
    fixture_palmer_ro_AL01 = np.array([
        4.00, 1.28, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.65, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.42, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.68, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.57, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.65, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.25, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.95, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.66, 0.74, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3.23, \
        2.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.46, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 ])

    # potential runoff    
    fixture_palmer_pro_AL01 = np.array([
        6.00, 6.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.47, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.62, 0.46, 0.39, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.07, 4.63, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.33, 0.99, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.29, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.70, 1.22, 1.73, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.07, 3.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.64, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.56, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.54, 3.06, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.69, 0.19, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.29, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.40, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.53, 4.91, 5.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.68, 2.74, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.91, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.95, 2.30, 1.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.07, 6.00, 2.49, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.90, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.67, 3.66, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.65, 1.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.08, 0.07, 0.03, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.16, 4.88, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 2.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.81, 2.26, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.38, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.49, 2.96, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.68, 5.82, 5.76, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.62, 1.44, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.47, 3.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.45, 1.10, 0.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        5.25, 6.00, 3.50, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.64, 1.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.79, 1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.60, 1.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.13, 4.85, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 2.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        6.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.61, 3.09, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.15, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.59, 0.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.62, 1.11, 0.38, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 5.12, 1.58, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.48, 0.31, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.11, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.73, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.20, 1.43, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.89, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.75, 0.01, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.22, 4.65, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.23, 3.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.32, 1.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 3.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, np.NaN, np.NaN, np.NaN, np.NaN ])

    # loss
    fixture_palmer_l_AL01 = np.array([
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.16, 0.08, 0.39, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.35, 0.99, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.48, 0.00, 1.73, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 3.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.48, 3.06, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.50, 0.19, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.29, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.40, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 5.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 2.74, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.91, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.65, 1.23, 1.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.51, 2.49, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.90, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.01, 3.66, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.01, 0.04, 0.03, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 4.88, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 2.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.26, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 2.96, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.07, 5.76, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.18, 1.44, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 3.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.38, 0.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.50, 3.50, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 1.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.43, 1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.05, 1.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 4.85, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.41, 2.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.52, 3.09, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.15, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.81, 0.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.51, 0.73, 0.38, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.55, 1.58, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.17, 0.31, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.11, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 1.43, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.89, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.74, 0.01, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.18, 1.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 3.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    # potential loss    
    fixture_palmer_pl_AL01 = np.array([
        2.98, 0.13, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.21, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.54, 0.46, 0.39, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.64, 0.89, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.11, 0.99, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.18, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.70, 0.92, 1.73, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.83, 3.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.21, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.39, 3.06, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.69, 0.19, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.29, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.40, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.08, 2.70, 5.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.33, 2.74, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.91, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.29, 2.30, 1.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.07, 6.00, 2.49, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.90, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.67, 3.66, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.65, 1.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.05, 0.07, 0.03, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.01, 4.88, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 2.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.81, 2.26, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.42, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.26, 2.96, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.30, 3.78, 5.76, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 4.62, 1.44, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.98, 3.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.45, 1.10, 0.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.59, 5.18, 3.50, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.64, 1.81, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.79, 1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.60, 1.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.04, 4.85, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.31, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 6.00, 2.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.03, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.72, 3.09, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.15, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.46, 0.78, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.62, 1.11, 0.38, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 5.12, 1.58, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.48, 0.31, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.11, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.54, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 1.20, 1.43, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.89, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.75, 0.01, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.22, 1.59, 6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.23, 3.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 2.32, 1.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 3.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, np.NaN, np.NaN, np.NaN, np.NaN ])

    # recharge
    fixture_palmer_r_AL01 = np.array([
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.86, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.47, 5.53, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.62, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 4.07, \
        0.56, 1.37, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.33, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.29, 1.71, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 2.70, \
        0.00, 0.51, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.04, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.07, 0.70, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 4.64, \
        1.36, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.56, \
        5.44, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.69, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.29, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.40, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.86, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.53, \
        3.38, 0.71, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.68, 0.06, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.91, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.62, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 2.95, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 4.07, \
        1.93, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.90, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.10, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.65, \
        1.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.08, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.16, 3.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.67, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 2.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.81, \
        1.45, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 2.38, \
        3.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.49, 0.47, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 4.68, \
        1.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.62, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.07, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.47, 0.34, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.45, \
        0.65, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 5.25, \
        0.75, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.64, 1.18, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.79, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.60, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        4.13, 0.72, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        6.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 6.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        3.61, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.15, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.55, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.59, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3.67, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3.62, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        5.12, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.48, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.11, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3.73, \
        2.27, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        1.20, 0.24, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.36, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.89, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.75, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.22, \
        4.43, 1.35, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.23, \
        2.87, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        2.32, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 3.14, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, \
        0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 ])
    
    # potential recharge
    fixture_palmer_pr_AL01 = np.array([
        0.00, 0.00, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.14, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.53, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.38, 5.54, 5.61, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        1.93, 1.37, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.67, 5.01, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 1.71, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        3.30, 4.78, 4.27, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.96, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 2.93, 2.22, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        1.36, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.44, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 1.46, 2.94, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.31, 5.81, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.71, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.60, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.14, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.47, 1.09, 0.38, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.32, 3.26, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.09, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.38, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        3.05, 3.70, 4.93, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        1.93, 0.00, 3.51, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.10, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 2.33, 2.34, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.90, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.35, 4.28, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.92, 5.93, 5.97, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 4.41, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 4.84, 1.12, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.33, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 3.65, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.19, 3.74, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        3.62, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.51, 3.04, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        1.32, 0.18, 0.24, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 1.38, 4.56, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.93, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 2.53, 2.19, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.55, 4.90, 5.28, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        0.75, 0.00, 2.50, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.36, 4.19, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.21, 4.64, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.73, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 2.40, 4.45, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 1.87, 1.15, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 0.00, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.80, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 0.00, 3.41, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        0.00, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 2.39, 2.91, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.85, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.45, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.41, 5.22, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.96, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        2.33, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        2.38, 4.89, 5.62, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 0.88, 4.42, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.52, 5.69, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.89, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        2.27, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 4.80, 4.57, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 5.80, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        4.64, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.11, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.25, 5.99, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.78, 1.35, 0.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        5.77, 2.90, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 3.68, 4.86, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 2.86, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 5.96, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, \
        6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, 6.00, np.NaN, np.NaN, np.NaN, np.NaN])

    # evapotranspiration        
    fixture_palmer_et_AL01 = np.array([
        3.37, 0.13, 13.17, 2.72, 3.06, 4.04, 4.58, 4.00, 3.41, 2.28, 1.83, 5.83, \
        2.47, 7.46, 6.23, 4.34, 2.92, 4.50, 3.78, 1.94, 2.67, 1.59, 6.20, 1.32, \
        2.99, 4.60, 14.40, 4.99, 2.87, 2.12, 3.93, 3.66, 0.03, 1.74, 2.13, 8.54, \
        7.07, 1.34, 4.43, 4.29, 1.86, 2.61, 5.52, 3.67, 2.83, 3.72, 3.55, 2.43, \
        5.32, 0.21, 15.93, 2.99, 1.50, 2.22, 6.04, 3.44, 0.57, 1.85, 3.93, 5.66, \
        4.80, 5.00, 4.56, 10.56, 3.86, 12.40, 4.64, 2.26, 2.76, 6.40, 3.44, 3.25, \
        5.25, 2.73, 4.74, 4.78, 4.28, 3.80, 2.74, 11.41, 5.78, 1.04, 1.81, 2.47, \
        4.19, 0.89, 14.18, 2.59, 1.46, 3.08, 2.96, 2.80, 4.24, 2.60, 5.74, 5.88, \
        4.02, 10.13, 5.09, 3.67, 5.94, 4.45, 3.56, 4.06, 0.62, 2.28, 3.64, 2.22, \
        2.99, 2.44, 6.80, 3.06, 3.81, 3.04, 5.06, 2.56, 1.83, 0.40, 3.27, 5.72, \
        0.08, 0.18, 9.97, 3.67, 5.12, 6.58, 3.64, 4.45, 3.32, 6.29, 1.30, 5.17, \
        4.94, 1.39, 6.40, 1.60, 3.72, 2.84, 8.62, 2.56, 7.58, 4.13, 3.59, 4.37, \
        2.31, 4.75, 3.84, 4.50, 8.14, 3.70, 4.51, 2.43, 5.77, 1.96, 4.83, 4.15, \
        4.08, 6.04, 5.06, 4.82, 6.28, 4.18, 3.49, 3.40, 2.60, 0.99, 1.69, 6.54, \
        2.87, 8.76, 6.18, 6.18, 5.96, 6.74, 4.38, 1.81, 2.77, 2.68, 1.85, 1.60, \
        5.86, 4.51, 2.58, 2.75, 5.66, 6.63, 6.94, 1.78, 2.16, 3.99, 1.74, 3.00, \
        5.83, 5.13, 2.57, 11.59, 2.28, 3.98, 6.40, 5.59, 2.14, 4.07, 3.90, 11.24, \
        1.29, 3.41, 13.37, 8.92, 5.24, 3.90, 6.26, 5.63, 3.28, 2.05, 1.47, 6.85, \
        8.99, 5.29, 5.65, 2.16, 3.98, 4.45, 2.88, 2.42, 4.52, 2.43, 1.23, 3.26, \
        1.72, 4.05, 4.40, 4.44, 1.98, 2.52, 3.42, 4.91, 2.39, 2.44, 2.63, 2.73, \
        2.99, 10.23, 3.10, 0.89, 4.12, 2.85, 5.30, 5.95, 3.38, 3.55, 6.23, 5.99, \
        5.70, 3.40, 2.62, 3.09, 5.18, 4.89, 12.12, 3.30, 0.72, 1.71, 2.31, 5.74, \
        6.21, 4.53, 11.64, 4.23, 3.31, 5.00, 5.98, 2.33, 3.44, 1.96, 1.32, 1.01, \
        0.00, 8.29, 1.12, 6.83, 3.91, 4.87, 3.31, 1.58, 3.43, 8.10, 3.74, 3.85, \
        4.62, 3.60, 9.05, 2.97, 6.95, 5.26, 3.55, 6.69, 0.65, 7.98, 6.56, 3.94, \
        5.46, 3.25, 7.96, 10.92, 5.88, 5.38, 4.01, 5.77, 2.49, 0.53, 3.21, 5.75, \
        3.18, 6.02, 4.37, 6.74, 1.84, 3.31, 4.76, 4.55, 4.16, 2.43, 4.43, 2.79, \
        6.11, 4.89, 10.64, 5.98, 5.58, 4.04, 3.73, 2.83, 1.03, 1.34, 1.96, 8.48, \
        5.51, 5.63, 6.85, 6.39, 7.08, 3.62, 4.36, 6.86, 1.65, 2.15, 4.94, 7.34, \
        1.57, 6.42, 7.45, 6.89, 6.17, 4.47, 1.80, 2.75, 2.32, 0.01, 0.57, 6.18, \
        5.28, 3.16, 2.71, 2.46, 1.93, 2.13, 3.78, 2.17, 2.24, 8.00, 5.57, 2.88, \
        4.25, 2.71, 3.85, 1.98, 3.62, 4.96, 2.74, 6.71, 0.87, 2.94, 6.01, 10.72, \
        4.91, 4.45, 6.83, 4.92, 4.77, 6.23, 2.97, 2.85, 0.91, 2.46, 5.94, 7.29, \
        2.80, 2.14, 6.10, 8.58, 4.37, 10.09, 3.96, 5.91, 1.65, 4.89, 4.22, 1.51, \
        5.73, 4.40, 11.10, 5.53, 6.21, 3.92, 3.64, 1.34, 5.73, 4.72, 8.41, 3.35, \
        2.77, 3.53, 5.33, 0.86, 7.39, 1.32, 2.68, 2.54, 3.20, 2.55, 5.79, 3.09, \
        2.48, 4.38, 4.40, 2.76, 3.32, 1.51, 4.37, 4.13, 0.78, 2.24, 3.92, 11.29, \
        8.00, 7.02, 4.37, 5.76, 2.21, 5.39, 5.67, 5.45, 4.23, 9.60, 3.39, 8.37, \
        3.56, 6.56, 5.32, 4.36, 6.11, 1.55, 5.31, 3.15, 2.08, 1.49, 2.42, 4.22, \
        3.29, 3.24, 7.57, 2.68, 2.62, 6.13, 4.91, 4.32, 3.76, 3.06, 3.88, 3.44, \
        4.73, 4.31, 8.32, 4.28, 5.56, 3.63, 1.53, 2.03, 1.70, 5.06, 5.64, 0.83, \
        1.95, 3.61, 12.18, 7.09, 1.28, 1.72, 7.89, 2.24, 3.32, 4.59, 3.00, 6.05, \
        11.12, 3.94, 2.89, 5.67, 4.41, 2.96, 4.02, 4.04, 3.06, 6.14, 2.07, 3.73, \
        4.85, 1.29, 6.68, 6.32, 4.56, 5.38, 5.71, 5.13, 0.95, 0.37, 5.56, 2.22, \
        6.75, 12.16, 5.89, 4.91, 5.49, 8.58, 3.43, 3.17, 2.73, 0.81, 1.23, 3.09, \
        0.00, 5.74, 8.54, 4.48, 2.97, 3.81, 7.09, 3.52, 1.01, 2.18, 5.22, 4.16, \
        3.71, 1.25, 3.47, 3.11, 0.56, 2.80, 6.31, 3.55, 1.37, 3.53, 3.19, 3.78, \
        2.64, 3.78, 6.14, 1.81, 1.51, 2.40, 2.40, 5.78, 3.06, 2.47, 1.83, 7.96, \
        2.19, 2.92, 6.19, 2.75, 2.83, 2.68, 2.83, 2.43, 5.92, 0.82, 2.14, 3.33, \
        2.97, 9.85, 9.92, 5.06, 3.07, 2.25, 2.98, 4.60, 3.62, 0.58, 2.75, 4.09, \
        4.97, 10.46, 6.84, 4.99, 3.42, 3.99, 2.96, 3.88, 2.43, 2.08, 6.24, 1.60, \
        7.61, 12.77, 7.97, 3.58, 6.09, 3.94, 5.58, 3.26, 5.77, 2.25, 6.46, 3.67, \
        9.87, 1.19, 5.63, 5.09, 3.78, 4.57, 2.23, 3.46, 1.53, 2.09, 6.34, 2.99, \
        0.06, 11.43, 12.75, 2.92, 4.20, 3.12, 4.63, 1.49, 3.95, 1.09, 12.52, 4.48, \
        13.09, 4.34, 6.12, 3.47, 4.18, 7.14, 5.09, 4.04, 3.54, 4.37, 1.04, 4.24, \
        12.16, 7.56, 7.97, 2.75, 4.68, 4.27, 7.82, 7.64, 3.57, 1.10, 4.33, 2.64, \
        7.12, 6.09, 9.64, 4.81, 0.75, 5.10, 4.50, 1.39, 4.72, 2.28, 5.85, 11.11, \
        6.74, 3.43, 6.25, 2.28, 3.21, 1.35, 1.86, 5.96, 2.71, 2.42, 3.80, 4.15, \
        6.04, 8.57, 4.60, 6.65, 4.95, 1.84, 5.02, 0.77, 3.42, 0.27, 0.83, 5.66, \
        8.59, 5.18, 2.06, 5.32, 4.02, 1.99, 2.46, 1.94, 1.30, 2.18, 3.23, 6.26, \
        4.03, 7.18, 8.25, 5.39, 5.70, 2.39, 5.47, 1.89, 0.63, 2.26, 3.40, 3.30, \
        3.01, 9.58, 3.68, 7.51, 2.87, 4.45, 3.45, 3.70, 1.67, 3.37, 2.01, 7.66, \
        6.81, 8.29, 3.11, 3.67, 3.54, 4.82, 2.61, 2.44, 6.49, 3.40, 11.75, 4.59, \
        1.57, 0.01, 8.29, 7.76, 4.13, 3.59, 8.52, 2.81, 5.79, 0.85, 4.46, 0.89, \
        3.98, 4.49, 4.17, 4.69, 5.65, 3.62, 4.16, 4.12, 2.87, 4.57, 3.58, 6.86, \
        5.47, 3.35, 4.72, 4.60, 3.50, 3.67, 2.55, 5.29, 5.55, 4.97, 3.56, 2.22, \
        1.03, 9.76, 8.63, 2.90, 4.38, 5.30, 3.38, 3.71, 1.93, 1.81, 5.65, 8.94, \
        2.80, 13.80, 5.30, 6.28, 1.67, 4.30, 3.14, 2.05, 4.27, 2.36, 4.13, 3.09, \
        0.37, 2.05, 11.79, 6.28, 4.65, 4.45, 5.23, 1.96, 0.93, 0.03, 4.43, 0.00, \
        4.75, 4.46, 16.02, 10.13, 2.55, 1.95, 5.77, 4.05, 4.28, 4.11, 4.30, 4.93, \
        3.47, 5.56, 8.84, 4.04, 1.98, 5.06, 5.13, 4.16, 3.02, 1.25, 1.24, 1.31, \
        0.69, 8.22, 3.57, 4.48, 5.98, 2.13, 4.14, 5.30, 5.11, 2.65, 2.57, 5.77, \
        2.14, 4.40, 2.02, 4.15, 7.95, 3.78, 8.18, 7.27, 2.53, 3.16, 4.43, 9.77, \
        2.80, 0.98, 9.85, 4.47, 6.21, 1.32, 4.18, 3.04, 4.01, 2.10, 3.77, 4.51, \
        4.09, 7.02, 4.16, 7.33, 4.61, 2.76, 4.71, 4.26, 3.57, 4.00, 3.40, 4.85, \
        0.59, 5.71, 10.24, 10.23, 3.39, 4.34, 3.09, 3.15, 2.54, 6.15, 2.43, 4.29, \
        5.20, 7.28, 7.46, 4.00, 3.58, 3.06, 5.40, 3.85, 4.27, 1.86, 2.06, 8.12, \
        7.41, 2.60, 5.87, 3.33, 4.18, 3.54, 5.97, 2.49, 5.67, 3.90, 5.47, 7.34, \
        3.67, 6.27, 16.79, 5.48, 5.15, 5.01, 5.32, 2.10, 2.55, 3.46, 7.64, 6.95, \
        11.61, 6.12, 4.29, 4.60, 7.33, 4.18, 4.18, 4.17, 4.44, 1.70, 4.86, 7.13, \
        6.38, 5.17, 13.23, 3.16, 5.21, 4.20, 6.46, 4.08, 7.01, 8.90, 3.85, 3.71, \
        1.72, 5.99, 7.04, 1.34, 5.69, 5.78, 4.16, 2.92, 4.41, 5.14, 2.57, 3.54, \
        0.00, 5.65, 10.77, 7.21, 2.44, 3.33, 2.47, 2.42, 8.19, 4.99, 10.05, 2.65, \
        0.00, 0.04, 9.66, 2.84, 7.90, 4.19, 3.92, 2.63, 2.15, 1.28, 3.85, 7.04, \
        0.00, 3.78, 10.95, 7.88, 4.83, 2.94, 6.18, 5.34, 7.61, 2.80, 7.21, 2.65, \
        4.88, 1.86, 15.16, 5.42, 7.40, 2.82, 3.24, 2.64, 6.41, 2.40, 4.75, 1.00, \
        1.50, 4.01, 4.86, 3.41, 3.32, 4.24, 4.52, 5.74, 1.70, 3.48, 3.61, 3.56, \
        3.08, 8.45, 6.16, 7.45, 3.04, 3.14, 5.26, 4.95, 1.47, 2.42, 5.61, 9.43, \
        2.99, 5.49, 5.53, 10.98, 10.83, 4.63, 1.73, 2.18, 2.26, 2.21, 7.87, 1.67, \
        1.03, 9.22, 5.59, 5.90, 8.53, 2.46, 4.22, 2.52, 0.43, 8.15, 6.39, 2.34, \
        0.00, 4.95, 5.73, 3.59, 5.19, 3.90, 5.48, 6.05, 2.81, 5.47, 2.72, 2.06, \
        0.95, 3.87, 3.11, 0.65, 6.43, 4.89, 2.98, 4.53, 4.19, 4.78, 10.08, 5.32, \
        4.19, 7.60, 3.86, 1.54, 2.16, 4.02, 3.29, 1.91, 4.64, 1.00, 5.43, 5.55, \
        1.57, 4.26, 3.95, 4.24, 2.07, 0.49, 4.95, 1.70, 7.13, 3.65, 6.72, 4.75, \
        8.44, 8.09, 6.11, 3.23, 4.38, 11.38, 6.99, 3.95, 7.33, 2.72, 5.31, 0.00, \
        10.91, 9.08, 7.62, 4.27, 5.54, 2.86, 3.33, 0.99, 2.28, 3.65, 3.98, 13.79, \
        5.67, 10.91, 8.62, 10.40, 11.35, 2.91, 3.32, 3.10, 3.37, 2.07, 3.59, 12.52, \
        2.62, 3.56, 5.05, 2.44, 2.08, 7.22, 5.90, 4.94, 4.91, 3.17, 5.89, 5.06, \
        4.49, 2.82, 6.50, 4.05, 5.10, 2.97, 2.37, 5.48, 5.55, 1.96, 3.81, 5.30, \
        1.43, 11.79, 11.26, 3.55, 5.37, 7.02, 7.02, 2.68, 3.19, 5.57, 4.65, 3.73, \
        4.94, 4.74, 4.59, 5.57, 3.59, 3.72, 4.11, 3.98, 3.77, 6.45, 5.51, 4.13, \
        4.52, 4.54, 7.15, 5.39, 2.08, 3.12, 6.85, 3.87, 6.44, 3.17, 5.65, 6.80, \
        6.30, 5.09, 5.91, 4.00, 6.76, 10.71, 2.24, 4.45, 4.98, 6.23, 2.90, 4.04, \
        7.60, 6.56, 4.98, 5.80, 3.50, 2.97, 6.05, 3.63, 1.17, 2.19, 3.10, 7.78, \
        10.38, 3.13, 6.17, 4.00, 4.77, 6.81, 3.50, 0.64, 1.16, 1.46, 5.00, 3.11, \
        4.96, 2.91, 4.96, 8.83, 1.45, 4.55, 2.61, 1.35, 2.32, 0.14, 7.82, 0.40, \
        2.19, 12.10, 5.19, 4.91, 6.08, 6.79, 4.60, 5.91, 5.13, 4.74, 4.08, 6.29, \
        6.97, 2.39, 7.59, 1.64, 6.68, 2.58, 4.99, 3.47, 6.91, 4.91, 4.25, 6.55, \
        0.97, 8.36, 4.27, 4.37, 9.43, 5.08, 4.63, 4.45, 5.33, 1.58, 5.57, 3.44, \
        3.41, 7.69, 5.98, 3.77, 4.18, 6.50, 5.90, 4.56, 4.66, 5.34, 7.75, 7.28, \
        4.86, 5.08, 3.10, 5.82, 1.14, 5.58, 5.56, 6.01, 3.92, 0.07, 4.10, 4.19, \
        7.76, 3.24, 2.65, 5.36, 4.06, 2.02, 2.65, 3.08, 3.85, 4.93, 4.95, 4.06, \
        3.68, 2.23, 1.20, 3.68, 1.00, 1.92, 5.35, 2.08, 2.40, 3.80, 3.41, 2.64, \
        2.84, 4.41, 4.83, 4.39, 6.27, 2.15, 3.20, 5.18, 1.19, 3.51, 2.89, 10.56, \
        4.75, 3.57, 5.94, 4.84, 8.26, 2.93, 6.26, 3.80, 8.94, 9.20, 2.45, 6.14, \
        0.97, 1.97, 10.69, 3.01, 6.71, 3.03, 3.87, 3.61, 1.91, 3.82, 6.05, 1.98, \
        1.87, 5.58, 9.15, 10.97, 2.60, 4.47, 3.05, 4.37, 7.06, 1.53, 4.92, 6.54, \
        7.11, 3.00, 4.14, 1.81, 3.23, 2.34, 6.51, 3.90, 5.97, 4.26, 1.63, 6.50, \
        8.61, 3.37, 5.56, 5.93, 5.26, 4.13, 9.63, 4.19, 3.57, 1.52, 3.80, 6.33, \
        0.13, 6.77, 3.99, 7.20, 3.13, 6.89, 4.59, 3.73, 1.76, 8.25, 3.82, 6.01, \
        4.24, 1.13, 9.47, 6.88, 5.48, 2.39, 5.68, 6.89, 1.08, 3.19, 6.37, 11.71, \
        4.19, 5.94, 5.00, 3.95, 1.48, 3.73, 4.89, 5.45, 0.67, 0.45, 3.73, 5.43, \
        5.71, 2.71, 5.42, 4.50, 5.51, 6.03, 5.31, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN])                    
    
    # Z-Index        
    fixture_palmer_zindex_AL01 = np.array([
        1.90, 0.52, 2.98, -2.13, -1.09, 0.28, 0.41, 0.52, -0.72, 0.27, -1.84, 0.33, \
        -0.86, 0.57, 0.40, -1.94, -2.80, 1.02, -1.13, -2.57, -0.99, -1.10, 0.23, -1.58, \
        0.31, -2.02, 2.00, 0.17, -1.15, -2.60, -1.01, 0.13, -4.40, -2.08, -1.70, 1.10, \
        -0.79, -1.33, -2.92, 0.65, -3.45, -2.10, 1.00, 0.03, -1.26, 1.04, 0.26, -0.35, \
        0.50, 2.36, 4.07, -1.36, -4.41, -2.53, 1.62, -0.66, -3.17, -1.86, -1.31, 1.46, \
        -0.37, 0.68, -0.72, 4.82, -0.69, 10.73, 0.01, -2.17, -1.68, 2.41, -1.03, -0.98, \
        -0.23, 0.12, -1.09, 1.17, 0.18, -0.28, -2.95, 10.24, 2.93, -1.86, -0.59, 1.80, \
        0.65, 1.37, 3.22, -1.62, -4.31, -1.33, -2.44, -1.24, 1.04, -0.60, -0.95, 0.64, \
        -0.40, 1.47, -2.57, -0.60, 1.73, 1.75, -1.23, 0.51, -3.11, -0.87, 0.05, 0.69, \
        -0.04, -1.78, -0.90, -0.47, -0.43, -0.96, 1.07, -1.22, -2.32, -2.65, -0.42, 0.24, \
        1.21, 2.47, -0.45, -1.14, 0.10, 3.30, -0.70, 1.21, -0.37, 3.17, -2.62, 0.57, \
        -1.08, -1.05, 0.94, -3.43, -0.60, -1.34, 5.35, -1.38, 3.73, 1.44, -0.79, -1.34, \
        -5.09, -0.14, -4.87, 1.39, 4.82, 0.26, -0.33, -1.75, 2.30, -0.93, 0.98, -0.46, \
        -0.25, 0.75, -3.31, -0.96, 1.74, 0.52, -1.19, -0.26, -1.20, -1.62, -2.87, -0.33, \
        -2.24, -0.17, -0.53, 1.17, 2.07, 3.59, -0.15, -2.64, -0.85, -0.17, -4.24, 1.10, \
        -0.16, 1.10, -4.52, -1.45, 1.99, 4.05, 3.19, -2.21, -2.16, 0.42, -1.03, 0.72, \
        -1.69, -2.51, -2.99, 6.11, -2.73, -0.27, 2.72, 2.80, -2.59, 0.25, 0.68, 1.32, \
        0.92, 1.19, 3.95, 3.18, 0.68, 0.66, 2.11, 2.68, -0.71, -1.27, -1.18, 0.86, \
        -0.58, 0.57, -0.69, -2.27, -0.69, 0.66, -2.41, -1.83, 1.04, -0.13, -3.06, -1.13, \
        -2.54, 0.04, -0.16, -0.49, -2.57, -2.81, -1.92, 1.67, -1.19, -0.73, -0.85, 2.06, \
        0.95, 0.42, 0.36, -3.92, -1.01, -1.24, 1.11, 3.49, -0.48, 0.15, 0.39, 0.28, \
        -2.09, -0.55, -1.69, -1.12, 0.38, 1.61, 9.41, -0.40, -2.94, -1.31, -1.43, 0.56, \
        -0.55, -0.29, 2.16, -0.67, 0.01, 1.66, 1.80, -1.38, 0.01, 0.01, -1.43, 0.16, \
        2.17, -1.31, -5.09, 2.26, -1.16, 0.90, -0.99, -2.90, 0.64, 4.29, -0.12, -2.17, \
        -0.07, -0.76, 0.66, -1.41, 3.20, 1.52, -1.30, 4.04, -3.41, 3.19, 0.70, -0.26, \
        0.11, -0.60, 0.86, 5.73, 1.47, 2.11, -0.57, 3.14, -1.57, -2.80, 0.09, 0.52, \
        -2.16, -0.74, -4.59, 1.81, -2.79, -1.37, -0.24, 1.12, -0.62, -0.23, -1.10, -1.88, \
        0.39, -1.80, 1.43, 0.21, 0.96, 0.08, -0.94, -0.75, -3.33, -1.94, -2.28, -0.57, \
        -1.82, 0.82, 0.27, 1.77, 3.25, -0.23, -0.17, 4.28, -2.25, -0.74, 0.80, -1.55, \
        1.53, 1.36, 1.60, 1.91, 2.78, 0.48, -3.23, -1.39, -1.00, -3.33, -2.89, 0.81, \
        -0.22, -2.58, -2.64, -3.49, -2.27, -2.97, -1.40, -1.94, -3.24, 5.14, 1.29, 0.04, \
        0.12, -1.90, 0.05, -1.71, -0.77, 1.45, -2.25, 3.82, -3.98, -0.67, 2.27, 2.45, \
        -1.06, -3.99, -0.44, -1.05, 0.04, 3.13, -2.10, -0.58, -3.51, -1.00, -0.62, 1.25, \
        -0.75, -1.12, -0.26, 4.30, 0.33, 8.22, -0.83, 2.76, -1.68, 1.35, 0.18, -1.34, \
        -0.11, 0.84, 0.73, 0.03, 2.10, 0.20, -1.19, -2.82, 2.37, 2.06, 3.04, -0.26, \
        -0.41, -2.67, 0.04, -3.92, 2.93, -2.97, -3.07, -1.40, -0.88, -0.08, 1.07, 0.22, \
        -0.68, -0.92, 0.44, -1.21, -0.47, -3.28, -0.60, 1.01, -4.12, -1.60, -2.42, -0.10, \
        -1.50, -2.58, -0.01, 0.79, -2.04, 1.64, 0.93, 2.08, 0.85, 6.91, 0.39, 1.68, \
        -3.39, 0.61, -0.56, 0.04, 0.94, -2.99, 0.97, -0.52, -2.58, -1.70, -1.45, -3.32, \
        -1.92, 0.33, 0.93, -1.91, -2.11, 2.50, -0.02, 0.55, 0.28, -0.29, -1.10, -0.13, \
        -0.43, -0.71, -1.70, -0.35, 1.20, 0.23, -3.98, -2.46, -2.11, 1.75, 0.78, 0.50, \
        1.26, 1.43, 1.21, 2.76, -3.87, -3.21, 3.80, -2.03, -0.98, 1.38, -0.17, -0.45, \
        -1.84, -0.45, -1.15, 0.82, -0.26, -1.54, -0.51, 0.25, -0.38, 3.52, -0.89, -0.11, \
        -0.62, -4.32, -2.65, 1.14, -0.10, 2.24, 1.37, 1.69, -2.91, -3.13, 0.56, -0.96, \
        -0.64, 1.53, -1.44, 0.59, 1.30, 5.70, -1.38, -0.35, -1.49, -2.73, -1.22, -1.04, \
        0.57, 1.45, 0.92, 0.06, -0.77, 0.19, 3.60, -0.12, -2.51, -1.09, 0.78, -1.73, \
        -0.90, -0.32, -0.10, -2.18, -4.67, -1.50, 2.05, -0.14, -3.07, -0.95, -0.43, -1.27, \
        -0.15, 0.93, -0.58, -3.14, -3.14, -2.03, -2.88, 3.11, -0.24, -0.79, -2.63, 1.51, \
        -1.90, -1.61, 0.54, -1.70, -2.28, -2.30, -2.56, -2.02, 3.13, -1.85, -0.82, -0.24, \
        -0.96, -0.33, 1.11, 0.52, -1.93, -2.53, -1.81, 1.39, -0.03, -2.40, -1.12, 1.67, \
        0.27, 1.40, -3.32, -0.39, -0.40, 0.41, -1.78, 0.48, -1.70, -0.77, 0.52, 1.63, \
        2.14, 2.00, -1.86, -1.93, 2.27, 0.47, 1.49, 0.14, 2.80, -0.83, -0.41, -1.85, \
        0.50, 0.47, 1.25, -0.28, -0.16, 1.13, -2.06, -0.65, -2.62, -2.17, 1.70, -1.08, \
        0.97, 2.70, 1.79, -2.77, -0.06, -1.14, 0.01, -2.54, 0.67, -1.50, 4.91, -0.84, \
        0.35, -1.56, -0.21, -0.56, -0.46, 4.12, 0.52, 0.77, 0.51, 0.55, -1.90, -0.96, \
        -2.72, -0.74, 1.06, -0.91, -0.30, 0.77, 4.49, 5.82, 0.44, -2.61, 1.23, 0.29, \
        0.21, -0.33, 0.96, 0.60, -3.71, 1.46, -0.20, -3.32, 1.18, -1.07, 2.26, 1.40, \
        -2.09, -2.14, 0.01, -1.88, -1.47, -4.17, -3.89, 2.89, -0.49, 0.55, -0.05, -0.23, \
        -1.61, 0.58, -2.23, 2.29, 0.01, -3.27, 0.59, -3.64, -0.16, -3.21, -2.04, 1.08, \
        1.31, -2.45, -1.99, -0.78, 0.65, -2.43, -3.29, -2.86, -3.27, -1.17, -0.20, 1.36, \
        -0.35, 0.51, -0.31, -0.44, 0.87, -0.90, 1.00, -2.39, -3.75, -0.56, -0.19, -0.30, \
        -0.05, -0.51, -1.53, 2.80, -2.18, 0.96, -1.39, 0.08, -1.69, -0.08, -1.10, -1.99, \
        1.17, -2.22, -1.20, -1.77, -1.18, 1.10, -2.19, -1.43, 3.36, 1.10, 4.59, -1.09, \
        0.21, 1.36, 1.91, 2.76, -0.23, -0.26, 4.98, -0.78, 2.49, -1.97, -0.60, -0.48, \
        0.38, -0.89, -0.66, 0.03, 0.88, 0.09, -0.40, 0.55, -0.87, 1.15, 0.18, 0.18, \
        0.20, 0.37, 2.74, -0.59, -0.26, -0.11, -2.51, 2.13, 2.20, 1.76, -0.26, 0.49, \
        0.33, -0.51, -0.16, -0.62, 0.79, 2.59, -0.87, 0.52, -1.85, -0.97, 0.48, 2.37, \
        2.39, -0.33, 0.40, 2.10, -4.11, 0.74, -1.74, -2.12, 0.83, -1.05, 0.24, 0.34, \
        0.55, 0.74, 1.00, 0.69, 0.36, 0.98, 1.35, -1.98, -2.67, -3.74, -0.27, 1.56, \
        1.04, 1.51, 4.30, 4.07, -2.13, -2.53, 1.82, 0.92, 0.77, 1.74, -0.96, -0.51, \
        -1.09, 0.54, 2.33, -1.52, -3.10, 1.81, 0.96, 0.92, -0.71, -1.52, -3.21, -1.85, \
        1.43, 0.84, -1.48, -0.28, 2.19, -1.63, -0.80, 2.54, 1.99, 0.15, -1.75, 0.45, \
        -1.61, 0.72, -3.90, -1.84, 4.30, 0.17, 5.35, 5.61, -0.32, 0.48, 0.98, 0.68, \
        1.30, 0.46, 1.81, -0.35, 2.41, -2.99, -0.15, -0.82, 0.95, -0.88, -0.20, 0.78, \
        0.44, 1.24, 0.57, 2.03, 0.34, -1.27, -0.14, 1.18, 0.41, 1.03, 0.06, 2.71, \
        0.29, 1.03, 2.08, 4.17, -1.04, 1.07, -1.39, -0.57, -1.77, 3.15, -0.58, -1.37, \
        0.55, 1.78, 1.54, -0.35, 0.08, -1.07, 1.44, 0.68, 0.61, -2.18, -1.47, -1.32, \
        -0.27, -1.03, -0.63, -1.48, 0.11, 0.22, 2.28, -1.16, 1.91, 1.08, 1.60, 0.45, \
        1.16, 0.86, 2.50, 1.28, 1.55, 1.53, 1.04, -1.56, -1.59, -0.28, 0.69, 0.63, \
        -0.32, 0.04, -3.40, -0.05, 3.01, 1.35, -0.16, 1.05, 1.79, -0.90, 0.30, 0.75, \
        -0.90, -1.03, 3.54, -0.97, 0.55, 0.74, 2.79, 0.82, 4.57, 5.78, -0.79, -0.41, \
        0.67, -2.68, -1.34, -2.85, 2.58, 3.03, 0.05, -0.27, 1.51, 3.14, 0.64, 0.34, \
        0.93, 0.62, 0.58, 1.37, -2.48, -0.64, -2.89, -1.64, 4.96, 2.55, 3.00, -0.43, \
        1.14, 0.25, 2.23, -2.03, 4.12, 0.48, -0.83, -1.19, -1.96, -1.25, -2.27, 0.63, \
        2.52, 1.61, 1.47, 2.77, 0.85, -0.63, 2.30, 2.54, 4.91, -0.08, 2.12, -0.90, \
        -0.41, 0.12, 4.75, 1.10, 3.34, -1.17, -2.27, -1.69, 2.67, -0.02, 0.45, -1.19, \
        -0.18, -0.67, -0.36, -2.55, -0.37, 0.25, -0.14, 3.06, -1.48, 0.73, -1.07, 0.13, \
        2.60, 1.29, -1.50, 3.32, -1.84, -0.36, 0.92, 2.04, -1.90, -0.59, 0.48, -0.24, \
        -0.22, 0.02, -0.38, 6.78, 7.41, 1.53, -3.48, -2.32, -1.26, -0.99, 2.20, 3.64, \
        0.54, -0.30, -0.19, 1.55, 4.91, -1.67, 0.07, -1.04, -3.15, 3.93, 1.69, -4.09, \
        0.93, 1.18, -1.73, -1.44, 0.94, 0.21, 1.43, 3.47, -0.44, 1.81, -3.53, 0.20, \
        -1.24, -1.85, -2.17, -3.72, 2.02, 1.20, -2.33, 1.49, 0.34, 1.67, 2.78, 0.32, \
        0.36, 0.15, -2.07, -2.28, -3.27, 0.18, -1.56, -2.58, 1.34, -1.07, -0.14, -0.85, \
        0.77, 0.04, -1.40, -0.37, -2.04, -4.14, 0.55, -2.77, 3.96, 1.54, 0.72, -0.14, \
        -0.63, 1.35, -1.18, -0.89, 0.68, 9.83, 3.32, 0.70, 4.51, -0.16, 0.34, 1.17, \
        -0.85, -1.56, -0.60, -0.04, 1.74, -1.15, -1.29, -3.51, -1.87, 0.71, -1.46, 3.78, \
        -0.67, 1.12, 0.03, 4.26, 6.77, -1.09, -1.62, -0.60, -0.34, -1.10, 0.09, 1.65, \
        -1.10, -2.21, -1.01, -1.88, -1.91, 4.88, 1.83, 2.52, 1.76, 0.43, 1.04, -0.02, \
        -1.41, -0.48, 0.46, 0.25, 1.05, -0.98, -3.22, 2.29, 2.54, -0.77, -0.07, 0.21, \
        1.74, 1.49, 1.78, -1.74, 1.84, 3.83, 3.47, -0.72, 0.09, 2.37, -1.41, -1.86, \
        -0.28, -0.03, -2.30, 0.46, -0.93, 0.35, -0.56, 0.02, 0.49, 3.52, 1.88, 0.19, \
        1.17, -0.32, 1.21, 1.26, -3.02, -0.76, 3.04, 0.66, 3.67, 0.21, 1.25, -0.33, \
        0.51, -1.63, -2.23, 0.35, 3.42, 9.26, -2.83, 1.47, 1.60, 3.44, -0.03, 0.06, \
        -0.47, -0.43, -0.86, 1.21, -1.60, -1.62, 1.61, 0.03, -3.40, -1.48, -1.86, -0.09, \
        0.34, -2.59, 0.36, -1.94, 0.53, 3.78, -1.54, -4.11, -2.71, -1.62, -0.89, -1.21, \
        -0.24, -3.10, -2.34, 4.27, -3.82, 0.91, -2.44, -3.17, -1.41, -3.41, 2.31, 1.27, \
        1.46, 0.18, 0.13, -0.68, 1.80, 4.11, 0.20, 3.11, 2.16, 2.18, -1.88, -0.77, \
        -0.21, -0.87, 0.21, -3.58, 2.85, -1.59, 0.40, -0.28, 3.12, 1.34, 0.60, 0.85, \
        0.13, 1.73, -2.00, -0.68, 5.37, 2.18, 0.45, 1.04, 2.22, -1.48, -0.90, -0.15, \
        -0.58, 1.34, -1.94, -0.64, -0.93, 3.50, 2.06, 1.97, 1.32, 1.48, 0.75, 1.66, \
        -2.33, -1.46, -1.56, 1.08, -2.88, 2.36, 1.21, 2.74, 0.01, -3.01, -0.92, 0.89, \
        -1.80, -0.22, -2.48, -1.03, -0.22, -2.19, -2.67, -1.26, 0.67, 2.36, 0.33, -1.23, \
        -1.18, -0.30, -5.31, -0.37, -4.00, -2.68, 1.21, -3.00, -1.75, 0.08, -0.91, -2.79, \
        -0.38, -1.03, -1.32, -0.17, 2.22, -2.29, -1.70, 2.22, -2.70, 0.65, -0.29, 2.05, \
        0.03, -1.36, -1.35, 0.31, 4.11, -1.39, 2.70, 0.54, 5.91, 6.55, -1.83, 1.00, \
        1.42, 1.26, 2.38, -2.16, 2.03, -1.62, -1.31, -0.65, -2.14, 0.67, 0.51, 0.22, \
        0.95, -1.35, 0.34, 4.74, -1.72, 0.26, -2.19, 0.75, 4.41, -1.05, -0.41, -0.17, \
        -1.15, -2.54, -5.30, -3.31, -2.01, -1.81, 1.90, 0.60, 2.97, 1.56, -1.38, -1.18, \
        0.05, -0.95, 0.62, 1.20, 1.34, 0.33, 6.71, 1.07, -0.11, -1.74, 0.38, 0.36, \
        0.45, 1.02, -0.66, 2.24, -1.37, 3.77, 0.85, 0.38, -2.24, 4.93, 0.83, -0.60, \
        0.09, 1.32, 0.71, 1.24, 0.97, -2.12, 1.12, 4.51, -2.81, -0.14, -0.64, -1.42, \
        0.16, -0.78, -2.74, -1.09, -2.90, -0.55, 0.04, 2.07, -3.92, -3.72, -2.00, -0.60, \
        -3.01, -4.35, -1.72, -1.67, 1.36, 2.97, 0.77, np.NaN, np.NaN, np.NaN, np.NaN, np.NaN ])

    # CAFEC coefficient: alpha    
    fixture_palmer_alpha_AL01 = np.array([ 0.6149, 0.5424, 0.2441, 0.0804, 0.0431, 0.0275, 0.0287, 0.0248, 0.0350, 0.0555, 0.2033, 0.5078 ])
    
    # CAFEC coefficient: beta    
    fixture_palmer_beta_AL01 = np.array([ 0.2054, 0.0344, 0.0079, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.1080 ])
    
    # CAFEC coefficient: gamma    
    fixture_palmer_gamma_AL01 = np.array([ 0.2331, 0.0078, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0 ])
    
    # CAFEC coefficient: delta    
    fixture_palmer_delta_AL01 = np.array([ 0.3191, 0.5389, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ])
    
    # climatic characteristic
    fixture_palmer_K_AL01 = np.array([ 0.3921, 0.3814, 0.4663, 0.8803, 1.0603, 1.2396, 1.2188, 1.2808, 1.1115, 1.0018, 0.6597, 0.387 ])

    # calibration years    
    fixture_palmer_calibration_begin_year = 1931
    fixture_palmer_calibration_end_year = 1990
    fixture_palmer_data_begin_year = 1895

    #=================================================================================================================
    # Fixtures below are initially relevant to the test of the Thornthwaite code (thornthwaite.py).
    
