text: Secondly, our methodological approach in this study also has some important limitations, including our use 
  of a single crop model to estimate maize yields. There are some limitations for the DSSAT model to simulate 
  yield loss caused by climate extreme events67, in which the impacts of pests and diseases are also ignored68. 
  However, the DSSAT model has been applied in a lot of researches to simulate historical maize yield69–71, in 
  which the results are reliable and credible72. The results of this research could be an important reference to the 
  other studies which simulate global maize yield in the future, applying crop models such as APSIM, WOFOST, 
  ORYZA and so on. 
  
  Thirdly, there are relatively more researches on the prediction of climate change trend under the background 
  of 1.5 °C and 2.0 °C; but the research on the impact assessment of the main grain crops including global trade in 
  worldwide is few. In the meantime, we do not assess the effect of future changes on agriculture, such as increases 
  in farm productivity due to new technology. The maize planting area in the future is assumed to be the same as 
  the current situation of maize cultivation in the world. 