Ute Hahn: Permutation tests for second order properties of stationary and non stationary spatial point processes Abstract: Permutation tests for second order properties of stationary and non stationary spatial point processes In this talk we present a nonparametric test on the K-function or other second order statistics of spatial point processes that allows to compare single point patterns. The test exploits the fact that estimates of second order statistics obtained on disjoint subwindows can often be considered as approximately independent. In the context of stationary point processes, this allows to test whether - two or more observed point patterns are realizations of the same model, - a point pattern belongs to a specific model that can be simulated from, - an observation stems from a stationary point process. Moreover, the method can be extended to the case of generalized second order stationary point processes, in particular second order intensity reweighted stationary point processes, thus providing a test on these types of inhomogeneity.