Simulation Study on Geometric Anisotropic Estimators for Spatial Point Process

The method by Fry for detecting geometric anisotropy in stationary spatial point pattern is investigated. We quantify anisotropy by stretching and compressing the point process about the axis. Using a simulated Strauss point pattern, we first fit ellipsoids to the compressed pattern of pairwise difference vectors to estimate the direction of anisotropy. The strength of compression and the regularity of the point process are varied at different times and the corresponding effect on the estimated ellipsoids is investigated as the level of contour ellipsoid increases. Parameters and contours good for estimation were discussed.