Original Article

Heredity (2005) 94, 347–355. doi:10.1038/sj.hdy.6800615 Published online 10 November 2004

Focus Article

A quantitative genetics model for viability selection

L Luo1, Y-M Zhang1 and S Xu1

1Department of Botany and Plant Sciences, University of California, Riverside, CA 92521, USA

Correspondence: S Xu, Department of Botany and Plant Sciences, University of California, Riverside 900 University Ave, Riverside, CA 92521, USA. E-mail: xu@genetics.ucr.edu

Received 9 February 2004; Accepted 27 September 2004; Published online 10 November 2004.

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Abstract

Viability selection will change gene frequencies of loci controlling fitness. Consequently, the frequencies of marker loci linked to the viability loci will also change. In genetic mapping, the change of marker allelic frequencies is reflected by the departure from Mendelian segregation ratio. The non-Mendelian segregation of markers has been used to map viability loci along the genome. However, current methods have not been able to detect the amount of selection (s) and the degree of dominance (h) simultaneously. We developed a method to detect both s and h using an F2 mating design under the classical fitness model. We also developed a quantitative genetics model for viability selection by proposing a continuous liability controlling the viability of individuals. With the liability model, mapping viability loci has been formulated as mapping quantitative trait loci. As a result, nongenetic systematic environmental effects can be easily incorporated into the model and subsequently separated from the genetic effects of the viability loci. The quantitative genetic model has been verified with a series of Monte Carlo simulation experiments.

Keywords:

EM algorithm, liability model, maximum likelihood, segregation distortion, viability locus

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