Inferring genetic values for quantitative traits non-parametrically

Genetics Research
Daniel Gianola, Gustavo de Los Campos

Abstract

Inferences about genetic values and prediction of phenotypes for a quantitative trait in the presence of complex forms of gene action, issues of importance in animal and plant breeding, and in evolutionary quantitative genetics, are discussed. Current methods for dealing with epistatic variability via variance component models are reviewed. Problems posed by cryptic, non-linear, forms of epistasis are identified and discussed. Alternative statistical procedures are suggested. Non-parametric definitions of additive effects (breeding values), with and without employing molecular information, are proposed, and it is shown how these can be inferred using reproducing kernel Hilbert spaces regression. Two stylized examples are presented to demonstrate the methods numerically. The first example falls in the domain of the infinitesimal model of quantitative genetics, with additive and dominance effects inferred both parametrically and non-parametrically. The second example tackles a non-linear genetic system with two loci, and the predictive ability of several models is evaluated.

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Citations

Feb 23, 2012·Genetics Research·Robin Wellmann, Jörn Bennewitz
Dec 17, 2009·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·William G Hill
Jan 2, 2010·Genetics, Selection, Evolution : GSE·Gerhard MoserHerman W Raadsma
Jul 22, 2009·Genetics·Daniel GianolaRohan Fernando
Apr 20, 2016·Genetics, Selection, Evolution : GSE·Yaodong HuDaniel Gianola
Aug 25, 2009·Journal of Dairy Science·A LegarraI Misztal
Jul 30, 2010·Genetics Research·Nanye LongOscar González-Recio
Feb 14, 2009·Journal of Animal Science·G de Los CamposG J M Rosa
Aug 5, 2016·G3 : Genes - Genomes - Genetics·Daniel Gianola, Chris-Carolin Schön
Jul 11, 2014·Genetics·Paulino Pérez, Gustavo de los Campos
Jan 17, 2017·Horticulture Research·Salvador A GezanVance M Whitaker
May 2, 2018·Heredity·Caroline DuZhenyu Jia
Apr 11, 2019·TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik·Julio G VelazcoFred A van Eeuwijk
Aug 17, 2019·Frontiers in Genetics·Marcus O OlatoyePeter O Aikpokpodion
Mar 29, 2018·G3 : Genes - Genomes - Genetics·Paulino Pérez-RodríguezJosé Crossa

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