On the quantitative genetics of mixture characters.

Genetics
D GianolaJorgen Odegaard

Abstract

Finite mixture models are helpful for uncovering heterogeneity due to hidden structure. Quantitative genetics issues of continuous characters having a finite mixture of Gaussian components as statistical distribution are explored in this article. The partition of variance in a mixture, the covariance between relatives under the supposition of an additive genetic model, and the offspring-parent regression are derived. Formulas for assessing the effect of mass selection operating on a mixture are given. Expressions for the genetic and phenotypic correlations between mixture and Gaussian traits and between two mixture traits are presented. It is found that, if there is heterogeneity in a population at the genetic or environmental level, then genetic parameters based on theory treating distributions as homogeneous can lead to misleading interpretations. Some peculiarities of mixture characters are: heritability depends on the mean values of the component distributions, the offspring-parent regression is nonlinear, and genetic or phenotypic correlations cannot be interpreted devoid of the mixture proportions and of the parameters of the distributions mixed.

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Citations

Apr 23, 2008·Genetics Research·L VaronaJ Casellas
Feb 4, 2010·PloS One·Stephen C Bishop, John A Woolliams
Jul 22, 2009·Genetics·Daniel GianolaRohan Fernando
Nov 24, 2006·Genetic Epidemiology·Christopher W Bartlett, Veronica J Vieland
Jan 10, 2012·Journal of Animal Breeding and Genetics = Zeitschrift Für Tierzüchtung Und Züchtungsbiologie·J Jamrozik, L R Schaeffer
Nov 12, 2014·Annual Review of Animal Biosciences·Daniel Gianola, Guilherme J M Rosa
May 23, 2019·Cancer Research·Indira PrabakaranMarina A Guvakova
Dec 13, 2019·Theoretical Population Biology·Daniel GianolaChris-Carolin Schön

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