Are studies included in most meta-analyses based on a narrow range of participants?
Hunter and Schmidt offer a a set of procedures to correct range restriction, these are included in many packages based on their meta-analytic methodology, here are some relevant references:

https://pdfs.semanticscholar.org/75e8/97a797dc876b785042dfd8ac4023a5fc85df.pdf
http://onlinelibrary.wiley.com/doi/10.1111/peps.12122/abstract
https://www.researchgate.net/publication/6644262_Correcting_for_indirect_range_restriction_in_meta-analysis_Testing_a_new_meta-analytic_procedure
mypages.iit.edu/~morriss/siop2009/Le09.ppt
mypages.iit.edu/~morriss/siop2005/Oswald05.doc
https://www.corwin.com/sites/default/files/upm-binaries/5063_Hunter_Chapter_3.pdf
https://utsa.influuent.utsystem.edu/en/publications/implications-of-direct-and-indirect-range-restriction-for-meta-an

hth,

larry