A Constructive Spatio-Temporal Approach to Modeling Spatial Covariance

Ephraim M. Hanks

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arXiv · 1506.03824

A Constructive Spatio-Temporal Approach to Modeling Spatial Covariance

Ephraim M. Hanks

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Abstract

I present an approach for modeling areal spatial covariance by considering the stationary distribution of a spatio-temporal Markov random walk. In the areal data case, this stationary distribution corresponds to an intrinsic simultaneous autoregressive (SAR) model for spatial correlation, and provides a principled approach to specifying areal spatial models when a spatio-temporal generating process can be assumed. I apply the approach to a study of spatial genetic variation of trout in a stream network in Connecticut, USA, and a study of crime rates in neighborhoods of Columbus, OH, USA.

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Ephraim M. Hanks. 2015-07-03. A Constructive Spatio-Temporal Approach to Modeling Spatial Covariance. https://arxiv.org/abs/1506.03824

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