Dwise1, while you posted an incredible message on the Bunny Blunder, I'd like to point to a much simpler way at viewing this particular population growth model.
About 500 BC there were about 128,906 people, according to the model. Right about this time, the Persian Empire reached its height, Greece warring against Persia for a few centuries, China divided into 7 massive kingdoms during the spring and autumn and warring states periods, etc. All of this happening all around the world with all the fortress cities being built with a world wide population of a little over 100 thousand people?
There was a lecture I read about (I do regret very much that I missed it) with the presenter actually divided up the supposed population at the time according to the creationist model and showed that according to the model 10 people built the Mesopotamian civilizations, 20 people built the great city states of Greece, 30 people founded the Chinese dynasties, etc. By the end, any sane person would have seen just how funny and ricidulous this particular population growth model was. And yet we keep seeing it popping up like bunnies...