Optimal population allocation layout over the Earth

Does exist some model of optimal people occupancy over whole our planet?

Something accounting for climate, resources (with and without existing settlements) availability, progress and grows perspectives and so on.
I would like to find it in form of heat map.
All I can find is just studies about cities layout or population size and density.

I came to the question thinking about advisability of my little hometown existence and ways to improve it – may be the game is not worth the candle.