I don't think this question is posted in the right subreddit: the events you are asking about definitely precede history. Consider reposting in askbiology or askantropology. Anyway, a commonly mentioned fact about human induced macro-fauna extinctions of the Paleolithic is that they didn't occur as much in Africa, where animal could co-evolute "in sync" with those new supereffective hunters which humans ended up to be. Many animals from other continents were hunted to extinction, as they had not nearly as much time to develop countermeasures (such as fear for any level of proximity with projectile hurling humans).