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      rptR: repeatability estimation and variance decomposition by generalized linear mixed-effects models

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      Methods in Ecology and Evolution
      Wiley-Blackwell

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          Guidelines for estimating repeatability

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            Repeatability: Its role in evolutionary studies of mating behavior

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              General Methods for Evolutionary Quantitative Genetic Inference from Generalized Mixed Models

              Methods for inference and interpretation of evolutionary quantitative genetic parameters, and for prediction of the response to selection, are best developed for traits with normal distributions. Many traits of evolutionary interest, including many life history and behavioral traits, have inherently nonnormal distributions. The generalized linear mixed model (GLMM) framework has become a widely used tool for estimating quantitative genetic parameters for nonnormal traits. However, whereas GLMMs provide inference on a statistically convenient latent scale, it is often desirable to express quantitative genetic parameters on the scale upon which traits are measured. The parameters of fitted GLMMs, despite being on a latent scale, fully determine all quantities of potential interest on the scale on which traits are expressed. We provide expressions for deriving each of such quantities, including population means, phenotypic (co)variances, variance components including additive genetic (co)variances, and parameters such as heritability. We demonstrate that fixed effects have a strong impact on those parameters and show how to deal with this by averaging or integrating over fixed effects. The expressions require integration of quantities determined by the link function, over distributions of latent values. In general cases, the required integrals must be solved numerically, but efficient methods are available and we provide an implementation in an R package, QGglmm. We show that known formulas for quantities such as heritability of traits with binomial and Poisson distributions are special cases of our expressions. Additionally, we show how fitted GLMM can be incorporated into existing methods for predicting evolutionary trajectories. We demonstrate the accuracy of the resulting method for evolutionary prediction by simulation and apply our approach to data from a wild pedigreed vertebrate population.
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                Author and article information

                Journal
                Methods in Ecology and Evolution
                Methods Ecol Evol
                Wiley-Blackwell
                2041210X
                November 2017
                November 2017
                : 8
                : 11
                : 1639-1644
                Article
                10.1111/2041-210X.12797
                43fc5b39-b9ae-4275-b065-7efcc1db03bb
                © 2017

                http://doi.wiley.com/10.1002/tdm_license_1.1

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