On Parameter Estimation and Goodness-of-Fit Testing for Spatial Point Patterns

Abstract

The objectives of spatial point pattern analysis, with particular reference to the distinction between mapped and sampled data is discussed. For the former case, available models are reviewed briefly, the role of preliminary testing is discussed and a procedure for fitting a parametric model is outlined. A simulation study of several tests of spatial randomness is intended to provide some insight into the suitability for model-fitting of various summary descriptions of a mapped pattern. Two examples illustrate the use of the statistical techniques. Some problem areas which merit further investigation are identified. Applicability to ecology is discussed.