2D map filled
uniformly by random values (Figure:top-left), the next maps are kernel averaged with a kernel of sizes 3x3, 5x5, ..., 11x11.
The questions are:
What are the patterns appeared in the kernel averaged maps?
What is the statistical basis of creation of such clusters/pattern?
How is the pattern related to the original dispersion model i.e., uniform?
To generate the maps a kernel based averaging system kind C was applied on the original data.
An answer from a different aspect has been given at this link. If you can develop based on more statistical/spatial statistics please do it.