PMID: 15219157Jun 29, 2004Paper

Effects on phenotypic variability of directional selection arising through genetic differences in residual variability

Genetical Research
W G Hill, Xu-Sheng Zhang

Abstract

In standard models of quantitative traits, genotypes are assumed to differ in mean but not variance of the trait. Here we consider directional selection for a quantitative trait for which genotypes also confer differences in variability, viewed either as differences in residual phenotypic variance when individual loci are concerned or as differences in environmental variability when the whole genome is considered. At an individual locus with additive effects, the selective value of the increasing allele is given by ia/sigma + 1/2 ixb/sigma2, where i is the selection intensity, x is the standardized truncation point, sigma2 is the phenotypic variance, and a/sigma and b/sigma2 are the standardized differences in mean and variance respectively between genotypes at the locus. Assuming additive effects on mean and variance across loci, the response to selection on phenotype in mean is isigma2(Am)/sigma + 1/2 ixcov(Amv)/sigma2 and in variance is icov(Amv)/sigma + 1/2 ixsigma2(Av)/sigma2, where sigma2(Am) is the (usual) additive genetic variance of effects of genes on the mean, sigma2(Av) is the corresponding additive genetic variance of their effects on the variance, and cov(Amv) is the additive genetic covariance of their effects. C...Continue Reading

Citations

Mar 25, 2011·Genetics Research·William G Hill, Han A Mulder
Dec 1, 2009·Animal : an International Journal of Animal Bioscience·H A MulderR F Veerkamp
Apr 6, 2011·Proceedings of the National Academy of Sciences of the United States of America·Zhi Wang, Jianzhi Zhang
Oct 28, 2011·British Poultry Science·A WolcI M S White
Aug 20, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Trudy F Mackay, Richard F Lyman
Jul 29, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Karin Meyer, Mark Kirkpatrick
Oct 20, 2009·Theoretical Population Biology·Xu-Sheng Zhang, William G Hill
Apr 30, 2009·Molecular Systems Biology·Yoichiro ItoTetsuya Yomo
Oct 1, 2013·Journal of Animal Breeding and Genetics = Zeitschrift Für Tierzüchtung Und Züchtungsbiologie·A PunJ P Gutiérrez
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Jul 22, 2010·Journal of Animal Breeding and Genetics = Zeitschrift Für Tierzüchtung Und Züchtungsbiologie·A WolcW G Hill
Dec 5, 2012·Evolution; International Journal of Organic Evolution·Mats E PetterssonOrjan Carlborg
Oct 15, 2013·The New Phytologist·Ben D MooreWilliam J Foley
Nov 2, 2014·Ecology and Evolution·S Anaid Diaz, Mark Viney
Apr 4, 2016·Genetics, Selection, Evolution : GSE·Samira FathallahIngrid David
Jul 4, 2015·Animal : an International Journal of Animal Bioscience·A McLarenL Bunger
Nov 20, 2014·Animal : an International Journal of Animal Bioscience·G C MárquezR M Lewis
Jul 30, 2005·Evolution; International Journal of Organic Evolution·Xu-Sheng Zhang, William G Hill
Sep 11, 2010·Nature·Avigdor Eldar, Michael B Elowitz
May 7, 2015·Scientific Reports·Fabio MorganteTrudy F C Mackay
Nov 12, 2019·Journal of Animal Breeding and Genetics = Zeitschrift Für Tierzüchtung Und Züchtungsbiologie·Laiza Helena de Souza IungHerman Arend Mulder
Feb 6, 2020·Journal of Evolutionary Biology·Pamela M PrenticeAlastair J Wilson
May 31, 2011·Critical Reviews in Biochemistry and Molecular Biology·Ziya Kalay
Jun 18, 2015·Journal of Animal Breeding and Genetics = Zeitschrift Für Tierzüchtung Und Züchtungsbiologie·D J CottleA G Fahey
Jul 21, 2016·Evolution; International Journal of Organic Evolution·Han A MulderMarcel E Visser
May 21, 2020·Evolutionary Applications·Mads F SchouAry A Hoffmann

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