Spatiotemporal Hierarchical Bayesian Modeling: Tropical Ocean Surface Winds.

Journal of the American Statistical Association, June, 2001 by Berliner, L. Mark; Milliff, Ralph F.; Nychka, Doug; Wikle, Christopher K.

Spatiotemporal processes are ubiquitous in the environmental and physical sciences. This is certainly true of atmospheric and oceanic processes, which typically exhibit many different scales of spatial and temporal variability. The complexity of these processes and the large number of observation/prediction locations preclude the use of traditional covariance-based spatiotemporal statistical methods. Alternatively, we focus on conditionally specified (i.e., hierarchical) spatiotemporal models. These methods offer several advantages over traditional approaches. Primarily, physical and dynamical constraints can be easily incorporated into the conditional formulation, so that the series of relatively simple yet physically realistic conditional models leads to a much more...

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