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Testing environmentaland genetic effectsin the presence ofspatialautocorrelation François RoussetJean‐Baptiste Ferdy2014 год

Testing environmental and genetic effects in the presence of spatial autocorrelation
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Аннотация: Spatial autocorrelation is a well‐recognized concern for observational data in general, and more specifically for spatial data in ecology. Generalized linear mixed models (GLMMs) with spatially autocorrelated random effects are a potential general framework for handling these spatial correlations. However, as the result of statistical and practical issues, such GLMMs have been fitted through the undocumented use of procedures based on penalized quasi‐likelihood approximations (PQL), and under restrictive models of spatial correlation. Alternatively, they are often neglected in favor of simpler but more questionable approaches. In this work we aim to provide practical and validated means of inference under spatial GLMMs, that overcome these limitations. For this purpose, a new software is developed to fit spatial GLMMs. We use it to assess the performance of likelihood ratio tests for fixed effects under spatial autocorrelation, based on Laplace or PQL approximations of the likelihood. Expectedly, the Laplace approximation performs generally slightly better, although a variant of PQL was better in the binary case. We show that a previous implementation of PQL methods in the R language, glmmPQL, is not appropriate for such applications. Finally, we illustrate the efficiency of a bootstrap procedure for correcting the small sample bias of the tests, which applies also to non‐spatial models.
Год издания: 2014
Авторы: François Rousset, Jean‐Baptiste Ferdy
Издательство: Wiley
Источник: Ecography
Ключевые слова: Economic and Environmental Valuation, Genetic and phenotypic traits in livestock, Spatial and Panel Data Analysis
Другие ссылки: Ecography (PDF)
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HAL (Le Centre pour la Communication Scientifique Directe) (PDF)
HAL (Le Centre pour la Communication Scientifique Directe) (HTML)
HAL (Le Centre pour la Communication Scientifique Directe) (HTML)
HAL (Le Centre pour la Communication Scientifique Directe) (HTML)
HAL (Le Centre pour la Communication Scientifique Directe) (HTML)