# Centroids highest density areas

Is there a way to find the centroids of highest density areas in the density raster (red areas in the figure) created with the Optimized Hot Spot Analysis in ArcMap10.3. Theoretically I think I should do something like:

1. Create poligons of different areas (green, yellow, orange, red in the figure)
2. Select red areas
3. X and Y of the red areas

I literally have no idea how to do it the stage 1 in ArcMap while I I know how to work out part 2 and 3. Or is there an easiest way to find the density of population (for example) and find out the coordinate of the highest density centers without using the Advanced Hot Spots tool?

• Do you need geometric centroids or density-weighted centroids? (Both are easily obtainable in basically the same way: select the regions by comparing the values to a threshold; regiongroup the selection; then perform zonal means of the coordinates (or weighted zonal means of the weighted coordinates) using the regions as zones.) Another question is, what form should the results be in? Points, a binary grid, ordered pairs of coordinates, or something else? Mar 10, 2017 at 22:24