Modelling of spatial point processes derived from a sequence of auto-Poisson lattice schemes

Abstract

Spatial point processes form a set of statistical tools capable of modelling many environmental processes. They can deal with spatial interactions and dependencies between individuals which is an essential framework in environmental modelling. In this context, we focus on inhibitory pairwise interaction point processes that can be obtained as the limit of a suitable sequence of auto-Poisson lattice schemes. We review the limit theorems concerned, present a computer software (SPPA) and analyze the results of a Monte Carlo simulation study based on a particular pairwise interaction model.