Thank you very much for these suggestions. As far as I can see, converting polygons to raster does not give me the required
control over how cell values are calculated from the overlapping polygons (so the cell statistics tool is not applicable to my problem I think). Also, zonal statistics do not seem to be the solution, because I actually want the summary in the reverse way: not a raster value summary within a polygon, but a polygon attribute summary within a raster cell.
Meanwhile, I thought about the following procedure:
- run the UNION tool with my single
feature class of overlapping polygons to discover the overlap patches and separate them into new features; - use the DISSOLVE tool (dissolve based on the centroid of the overlapping patches) to generate the mean from all
the layers for each area where there are overlaps - convert to raster.
Does that make sense?