Abstract
A method of finding the optimal selected proportions within large individual families is derived. The method identifies family contributions which maximize genetic gain at a given diversity and selected proportion (or rather suggests an optimum combination of these three entities). The population considered is a number of large unrelated families with normal within-family variation. The optimally selected proportion of members from a family is dependent on the average breeding value of the family, the average selected proportion, the diversity, the heritability and the intraclass correlation for the family type. A numerical example is given.
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Kang, H, and Namkoong, G. 1988. Inbreeding effective population size under some artificial selection schemes. I. Linear distribution of breeding values. Theor Appl Genet, 75, 333–339.
Lindgren, D. 1986. How should breeders respond to breeding values? Proceedings from IUFRO working parties on breeding theory, progeny testing and seed orchards, 13–17 October 1986, Williamsburgh, Virginia, pp. 361–371.
Lindgren, D, Libby, W J, and Bondesson, F L. 1989. Deployment to plantations and proportions of clones with special emphasis on maximizing gain at a constant diversity. Theor Appl Genet, 77, 825–831.
Luenberger, D G. 1984. Linear and Nonlinear Programming 2nd edn. Addison-Wesley, Reading, Massachusets, p. 372.
Robertsson, A. 1961. Inbreeding in artificial selection programmes. Genet Res Camb, 23, 189–194.
Toro, M A, and Nieto, B M. 1984. A simple method for increasing the response to artificial selection. Genet Res Camb, 44, 347–349.
Acknowledgements
Grants supporting this work have been received from The Swedish Council for Forestry and Agricultural Research and ?959 ärs fond'. We are indebted to Professor W G. Hill for discussions and valuable comments on the manuscript. Nigel Rollison has given linguistic advice on the manuscript.
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Lindgren, D., Wei, R. & Bondesson, L. Optimal selection from families. Heredity 70, 619–621 (1993). https://doi.org/10.1038/hdy.1993.88
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DOI: https://doi.org/10.1038/hdy.1993.88
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