A Test for Determinism in Spatial Processes

Mardi | 2011-10-19


We propose the first statistical test to determine, given a spatial process, if the spatial structure is generated by a deterministic, rather than by a stochastic, process. The conditions under which the test can be applied are really weak. The advantages of the presented methods are simplicity, invariance respect to monotonic transformations and the applicability of the test regardless the discrete or continuous nature of the data generating process. We conduct several simulation studies to evaluate the performance of our test on well-known spatial processes.