Normal linear models with genetically structured residual variance heterogeneity: a case study

DANIEL SORENSEN; RASMUS WAAGEPETERSEN

doi:10.1017/S0016672303006426

Abstract

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Normal mixed models with different levels of heterogeneity in the residual variance are fitted to pig litter size data. Exploratory analysis and model assessment is based on examination of various posterior predictive distributions. Comparisons based on Bayes factors and related criteria favour models with a genetically structured residual variance heterogeneity. There is, moreover, strong evidence of a negative correlation between the additive genetic values affecting litter size and those affecting residual variance. The models are also compared according to the purposes for which they might be used, such as prediction of ‘future’ data, inference about response to selection and ranking candidates for selection. A brief discussion is given of some implications for selection of the genetically structured residual variance model.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Gianola, Daniel and Sorensen, Daniel 2004. Quantitative Genetic Models for Describing Simultaneous and Recursive Relationships Between PhenotypesThis article is dedicated to Arthur B. Chapman, teacher and mentor of numerous animal breeding students and disciple and friend of Sewall Wright. . Genetics, Vol. 167, Issue. 3, p. 1407.

Ros, Mathieu Sorensen, Daniel Waagepetersen, Rasmus Dupont-Nivet, Mathilde SanCristobal, Magali Bonnet, Jean-Claude and Mallard, Jacques 2004. Evidence for Genetic Control of Adult Weight Plasticity in the Snail Helix aspersa. Genetics, Vol. 168, Issue. 4, p. 2089.

Stern, Hal S. and Sinharay, Sandip 2005. Bayesian Thinking - Modeling and Computation. Vol. 25, Issue. , p. 171.

Cardoso, F. F. Rosa, G. J. M. and Tempelman, R. J. 2005. Multiple-breed genetic inference using heavy-tailed structural models for heterogeneous residual variances1. Journal of Animal Science, Vol. 83, Issue. 8, p. 1766.

Mackay, Trudy F.C and Lyman, Richard F 2005. Drosophilabristles and the nature of quantitative genetic variation. Philosophical Transactions of the Royal Society B: Biological Sciences, Vol. 360, Issue. 1459, p. 1513.

Zhang, Xu-Sheng and Hill, William G. 2005. EVOLUTION OF THE ENVIRONMENTAL COMPONENT OF THE PHENOTYPIC VARIANCE: STABILIZING SELECTION IN CHANGING ENVIRONMENTS AND THE COST OF HOMOGENEITY. Evolution, Vol. 59, Issue. 6, p. 1237.

Zhang, Xu‐Sheng 2005. Evolution and Maintenance of the Environmental Component of the Phenotypic Variance: Benefit of Plastic Traits under Changing Environments. The American Naturalist, Vol. 166, Issue. 5, p. 569.

Rowe, S.J. White, I.M.S. Avendano, S. and Hill, W.G. 2005. Genetic heterogeneity of residual variance within families for body weight in poultry. Proceedings of the British Society of Animal Science, Vol. 2005, Issue. , p. 8.

WAAGEPETERSEN, RASMUS 2006. A Simulation‐based Goodness‐of‐fit Test for Random Effects in Generalized Linear Mixed Models. Scandinavian Journal of Statistics, Vol. 33, Issue. 4, p. 721.

Rowe, Suzanne J White, Ian MS Avendaño, Santiago and Hill, William G 2006. Genetic heterogeneity of residual variance in broiler chickens. Genetics Selection Evolution, Vol. 38, Issue. 6,

Zhang, Xu-Sheng 2006. THE PHENOTYPIC VARIANCE WITHIN PLASTIC TRAITS UNDER MIGRATION-MUTATION-SELECTION BALANCE. Evolution, Vol. 60, Issue. 6, p. 1125.

Gutiérrez, Juan Pablo Nieto, Blanca Piqueras, Pepa Ibáñez, Noelia and Salgado, Concepción 2006. Genetic parameters for canalisation analysis of litter size and litter weight traits at birth in mice. Genetics Selection Evolution, Vol. 38, Issue. 5, p. 445.

Edwards, Jode W. and Jannink, Jean‐Luc 2006. Bayesian Modeling of Heterogeneous Error and Genotype × Environment Interaction Variances. Crop Science, Vol. 46, Issue. 2, p. 820.

Sørensen, Anders Christian Kristensen, Torsten Nygaard Loeschcke, Volker Ibáñez, Noelia and Sorensen, Daniel 2007. Genetically controlled environmental variance for sternopleural bristles inDrosophila melanogaster– an experimental test of a heterogeneous variance model. Acta Agriculturae Scandinavica, Section A - Animal Science, Vol. 57, Issue. 4, p. 196.

Wittenburg, Dörte Guiard, Volker Liese, Friedrich and Reinsch, Norbert 2007. Linear and generalized linear models for the detection of QTL effects on within-subject variability. Genetical Research, Vol. 89, Issue. 4, p. 245.

Damgaard, L. H. 2007. Technical note: How to use Winbugs to draw inferences in animal models1. Journal of Animal Science, Vol. 85, Issue. 6, p. 1363.

Sancristobal, Magali Robert-Granié, Christèle and Chevalet, Claude 2007. Some prospects on the next 60 years in animal genetics. Acta Agriculturae Scandinavica, Section A - Animal Science, Vol. 57, Issue. 4, p. 208.

Bolet, G. Garreau, H. Joly, T. Theau-Clement, M. Falieres, J. Hurtaud, J. and Bodin, L. 2007. Genetic homogenisation of birth weight in rabbits: Indirect selection response for uterine horn characteristics. Livestock Science, Vol. 111, Issue. 1-2, p. 28.

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Normal linear models with genetically structured residual variance heterogeneity: a case study

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