Modeling Spatial Covariance Using the Limiting Distribution of Spatio-Temporal Random Walks

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Abstract

We present an approach for modeling areal spatial covariance in observed genetic allele data by considering the stationary (limiting) distribution of a spatio-temporal Markov random walk model for gene flow. 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. We apply the approach to a study of spatial genetic variation of trout in a stream network in Connecticut, USA.

Original languageEnglish (US)
Pages (from-to)497-507
Number of pages11
JournalJournal of the American Statistical Association
Volume112
Issue number518
DOIs
StatePublished - Apr 3 2017

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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