Spatial multinomial regression models for nominal categorical data: a study of land cover in Northern Wisconsin, USA

Autor: Stephan R. Sain, Michelle M. Steen-Adams, Jun Zhu, Chongyang Jin, Ronald E. Gangnon
Rok vydání: 2013
Předmět:
Zdroj: Environmetrics. 24:98-108
ISSN: 1180-4009
DOI: 10.1002/env.2189
Popis: We develop statistical tools for regression analysis of nominal categorical data on a spatial lattice that are becoming increasingly abundant because of the advances of geographic information systems in environmental science. In a generalized linear mixed model framework, we model the response variable by a multinomial distribution. There are two additive components in the linear predictor: a linear regression on covariates and a spatial random effect such that the spatial dependence in the random effect is induced by a multivariate conditional autoregressive model. Bayesian hierarchical modeling is used for statistical inference, and Markov chain Monte Carlo algorithms are devised to obtain posterior samples. The methodology is applied to analyze a northern Wisconsin land cover data set in a study that assesses the relationship between forest landscape structure and past social conditions, expanding the analytical tools available in landscape ecology and environmental history. Copyright © 2013 John Wiley & Sons, Ltd.
Databáze: OpenAIRE