Plotted these and I thought I could put more text boxes describing the curve but I can't. I was curious as to how cities develop, and the general trend I get is "People come to the city, hits critical mass, city and transportation develops, people leave the city center (i.e. sprawl)." This is also probably why the developing nations have much more densely populated cities, as transportation hasn't developed yet to efficiently shuffle people in and out of the city centers.
Still can't answer why people flock to the cities (development of farming that requires less people? or as Stewart Brandt said, rural life is boring?), and why Tokyo is starting to stall (low birthrate as is the case for all of Japan?).
So here are the graphs sans real analysis:
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