A formal test for nonstationarity of spatial stochastic processes

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Some topics in convolution-based spatial modeling (2007, methodology): “This approach has been extended in Fuentes and Smith (2001) by allowing the parameterθ(·) to vary smoothly across space (rather than at discrete nodes) and used to develop formal hypothesis t sts for nonstationarity (Fuentes, 2002b, 2005).”
Moving window kriging with geographically weighted variograms (2010, methodology): “Goovaerts et al. (2005) applied a weighted variogram to cancer mortality rate data, where paired values are weighted according to an increase/decrease in population size.”
Testing for separability of spatial–temporal covariance functions (2006, methodology): “Probably, the most relevant work has been done by Guo and Billard (1998); they used the Wald test to testa doubly-geometri pro ess against a more general unilateral autoregressive pro ess in a time series ontext.”
Geostatistical Space-Time Models, Stationarity, Separability, and Full Symmetry (2007, methodology): “For tests of stationarity we point to Fuentes (2005b) and references therein.”