Statistical Analysis of Spatial Point Processes: A Soft-Core Model and Cross-Correlations of Marks

This paper suggests correlation characteristics for marked point processes with two marks for each point and describes statistical methods for their estimation. Its use is demonstrated by means of an example, where the points are locations of pine saplings, and the marks are their heights and ages. Furthermore, a soft-core point process model is presented. It is shown that a pattern of sites of beadlet anemones on a rock has a pair-correlation function and intensity which can be very well approximated by the model.