Found this:
South America:
http://www.indexmundi.com/map.aspx?v=Birth+rate(births%2F1%2C000+population)&co=sa
Africa:
http://www.indexmundi.com/map.aspx?v=Birth+rate(births%2f1%2c000+population)&co=af
Asia:
http://www.indexmundi.com/map.aspx?v=Birth+rate(births%2f1%2c000+population)&co=as
It would be interesting to overlay a religious boundaries map over these, but that option isn’t available.
I don’t know if you noticed, but South America is not growing in population like Africa, or the Middle East. Russia is shrinking before our eyes.