The fertility rate of the Muslims is highest among the religious faiths.Further, the size of the Muslim population is also impacted by considerable conversion ,and de-conversion,if any. The size and percentage of conversion from other faiths to Islam would give an idea of the causal factors to the growth of the size of Muslim population. Gender-specific data of such conversion would be useful.Further, such data from major countries would help to understand the scenario.
There's a little research data on the Pew Research Center, which is a good place to start for religious research data: http://www.pewresearch.org/fact-tank/2007/07/21/converts-to-islam/
There is a Harvard research report on conversion in different countries at https://scholar.harvard.edu/files/barro/files/conversion_paper_072209_2_.pdf
Sone good literature review in the article at https://digitalcommons.usu.edu/cgi/viewcontent.cgi?referer=https://www.google.com/&httpsredir=1&article=1003&context=imwjournal
Hello Bedprakas, you might also contact Barna Research, they may have some information to answer your question.
https://www.barna.com/
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