Optimal family contributions and a linear approximation
type: Item
instance of: scholarly article
title: Optimal family contributions and a linear approximation
zbMATH Open document ID: 0843.92015
author: Yanyan Li
published in: Theoretical Population Biology
publication date: 1996-08-21T00:00:00Z
review text: In breeding programs, selection practised to change (improve) the genetic constitution of a population is measured as an increase in average breeding value, which is called genetic gain. Classical comparisons of different breeding alternatives usually focus on the gain aspect. Selection has effects on important demographic characteristics other than breeding value, including census and effective numbers. A genetic gain is combined with a decrease in effective number, which has several undesirable consequences. First, gene resources available for further selection and breeding will be reduced. Second, inbreeding will increase. Finally, the genetic diversity of production populations may become lower. In order to optimize selection methods we should consider all relevant aspects, not just genetic gain. Although there is a consensus about the need to conserve genetic diversity in breeding operations, few efforts have been made to identify methods that consider both aspects in an optimal way. \textit{D. Lindgren et al.} [Heredity 70, 619-621 (1993)]\ proposed a method for optimizing selection with respect to three factors, genetic gain, selected proportion, and effective family number, under certain assumptions. In the present study, optimal selection procedure results were calculated for a range of cases. Confounding effects between selection and genetic drift are avoided by assuming infinite family number and size. Comparisons are made with a simpler procedure, linear deployment [\textit{D. Lindgren et al.}, Theor. Appl. Gen. 77, 825-831 (1989)].
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 854734
zbMATH Keywords: heritability
zbMATH Keywords: breeding strategy
zbMATH Keywords: family type
zbMATH Keywords: linear deployment
zbMATH Keywords: genetic gain
zbMATH Keywords: effective number
zbMATH Keywords: inbreeding
zbMATH Keywords: genetic diversity
zbMATH Keywords: selected proportion
zbMATH Keywords: effective family number
zbMATH Keywords: optimal selection procedure results
MaRDI profile type: Publication
full work available at URL: tpbi.1995.1033
OpenAlex ID: W2018205026
DOI: 10.1006/TPBI.1995.1033
description: scientific article; zbMATH DE number 854734