Testing the shape-dependence of our adaptation of Ripley’s K-function using repeated random decimation of simulated fields of view.

Note that the black circular regions (black pixels) are considered to be outside the study region, and are generated to create artificial “edges”. Panel A: Sample simulated fields of view at decimation frequencies of 4, 6, 10 and 12. Panel B: The normalized and centered K-function () at various decimation frequencies. The black line represents the mean and the dotted lines represent the upper and lower critical quantiles (Q01 and Q99). Each mean/quantile was determined using a set of 1000 simulations. It can be seen that remains centered on zero regardless of the decimation frequency or radius at which was calculated.