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The non-stationary spatial AR model is clearly superior to the
stationary AR model. As with the temporal AR model the
non-stationary spatial AR model is improved by using an ARD prior,
or an MRF prior.
The best spatio-temporal noise model we consider is model 10. This
is a temporal AR(3) with MRF prior, and an anisotropic spatially
non-stationary spatial AR(1) with MRF prior. This is the noise
model we use henceforth in this paper.