The agglutinative languages are for the most part in Asia, but the inflective Indo-European family (which is a substantial fraction of the living human language speakers) also has its earliest discernable roots in Central Asia. The African click languages have their earliest discernable roots in Central Africa, but are today for the most part found in southern Africa. The Americas have a massively diverse pile of PreColumbian languages south of Panama, some more large families in southern Canada, the US, and Mexico (along with some of Central America) and just two groups (both of which are fairly homogeneous) in Alaska and Arctic Canada, showing that the settlement of the Americas has probably happened again and again over a very long time.
I’m waiting for someone else to come along and point out that, for most of the last two million years, our ancestors were living on the now-submerged continental shelves, below what is now sealevel, where there was ample food, and the climate was much better than in the hinterlands.