First off, can you not post that huge graphic on every post? It makes my screen completely wonky.
Secondly, as far as I can tell, reproduction rates are nothing close to declining. Since the dawn of civilization, they have only grown.
That said, reproduction has NEVER been without risk on a number of levels beyond STDs. There are numerous risks of many genetic diseases being passed from mother to child, or genetically through both parents, and any number of complications through the birth process as a whole.
All in all, you can't really make those risks go away, and enough people find that having children outweighs those risks for them that I highly doubt we have to worry about extinction. If anything, if our reproduction rates DID go down, it truthfully wouuld only improve the quality of life and health for everyone.