I have two point patterns, one is real data, the other one is simulated data from a model I constructed for the real data.
Now I want to see if the second order property of the model matches that of the real data.
What I plan on doing is to fit the pair correlation function for both real data and simulated data and take the ratio between them.
However, I do realize there are some issues with this approach in that my data is highly inhomogeneous, so misfit of the inhomogeneity in the model can cause differences in the ratio of pair correlation function.
But the main question is, assuming the first order inhomogeneity of model fits the data reasonably well, does comparing the pair correlation function correctly presents the differences in the second order property?
Any input will be helpful. Thank you very much!