How to distribute bank deposits, folowing the population of the area

Question

I am trying to "spread" the money deposited in a bank branch among the surrounding area. If I use the "density" funtion of Spatial Analyst, the deposits are spread circularly. But I want to spread them following the population in the area (the higher population, the higher the deposits).

Is there a way to do this?

(I am thinking in creating a proximity raster, with a cost distance defined as the inverse of population density. But it looks like a too convoluted way).

RamB · Answer

Just edited the power function for deterrence, it is the basic gravity formula from physics book.May be a simple gravity formula can work ? to keep it simple !

money deposited = population in an area* accounts in bank / (distance between bank and that population area)^2

the result would mean, that closer and higher the population, more will be the deposits from that population.

regards,

RamB · Answer

May be a simple gravity formula can work ? to keep it simple !

money deposited = population in an area* accounts in bank / (distance between bank and that population area)

the result would mean, that closer and higher the population, more will be the deposits from that population.

regards,

RobertoLopez · Answer

Do you think that, in order to distribute a point feature among the surrounding population, I should look into "Heat Maps" tools  or more into "Interpolation" tools.

RL