To begin, I changed the colorbar to not include a vmin, and I also changed things to a log scale. I also changed the binning to be on a step size of 1. The second plot shows a re-binned version (sizes 5×5). I also include the number of objects in each bin.
I also took Angelo’s cluster catalogue (the camira clusters), took the cluster positions from that, and ran them through the same process I used to get the 2d histogram. Overplotted as red points, it looks like this:
There definitely seems to be more clustering towards the bottom of the plot (as expected), but there’s quite a distribution! Perhaps the clusters with few members, or more diffuse clusters spatially are causing this spread?
If I apply a mask to the cluster catalogue by asking for clusters with the number of members > 20, the plot then looks like the one below. What I’m curious about is that many of them don’t have many galaxies within the 126 pixel radius (at least, quite a few well below 20). My reasons for this might include the magnitude cut on the galaxy catalogue, or maybe the clusters are more diffuse than I would expect.
HSC Research 