[thinkingemote]

Interesting observations, but it might be be both true that both genders are more free to spread out the other side, and that the majority are more likely to not be. So with more freedom there is greater social mobility and also less pressure to move. I've not read the paper fully. I wonder if they provide this information as to the scope.

I think if we think of a graph. In less equal places the peak of the graphs occur closer to each other and are narrower. In more equal places the peaks of the graphs occur further from each other but are wider.

http://i.imgur.com/dSq5f0v.png for example