I love stuff like this. It serves no purpose other than to make you bend your mind around the world in interesting new ways. And that’s kinda cool all by itself.
What if the world were rearranged so that the inhabitants of the country with the largest population would move to the country with the largest area? And the second-largest population would migrate to the second-largest country, and so on?
The result would be this disconcerting, disorienting map. In the world described by it, the differences in population density between countries would be less extreme than they are today. The world’s most densely populated country currently is Monaco, with 43,830 inhabitants/mi² (16,923 per km²) (1). On the other end of the scale is Mongolia, which is less densely populated by a factor of almost exactly 10,000, with a mere 4.4 inhabitants/mi² (1.7 per km²).
The averages per country would more closely resemble the global average of 34 per mi² (13 per km²). But those evened-out statistics would describe a very strange world indeed. The global population realignment would involve massive migrations, lead to a heap of painful demotions and triumphant promotions, and produce a few very weird new neighbourhoods.