Issue |
Genet. Sel. Evol.
Volume 34, Number 2, March-April 2002
|
|
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Page(s) | 145 - 170 | |
DOI | https://doi.org/10.1051/gse:2002001 |
Genet. Sel. Evol. 34 (2002) 145-170
DOI: 10.1051/gse:2002001
A method to optimize selection on multiple identified quantitative trait loci
Reena Chakrabortya, Laurence Moreaub and Jack C.M. Dekkersaa Department of Animal Science, 225C Kildee Hall, Iowa State University Ames, IA, 50011, USA
b Inra-UPS-Ina PG, Station de génétique végétale, Ferme du Moulon, 91190 Gif-sur-Yvette, France
(Received 5 February 2001; accepted 15 October 2001)
Abstract
A mathematical approach was developed to model and optimize selection
on multiple known quantitative trait loci (QTL) and polygenic
estimated breeding values in order to maximize a weighted sum of
responses to selection over multiple generations. The model allows for
linkage between QTL with multiple alleles and arbitrary genetic
effects, including dominance, epistasis, and gametic
imprinting. Gametic phase disequilibrium between the QTL and between
the QTL and polygenes is modeled but polygenic variance is assumed
constant. Breeding programs with discrete generations, differential
selection of males and females and random mating of selected parents
are modeled. Polygenic EBV obtained from best linear unbiased
prediction models can be accommodated. The problem was formulated as a
multiple-stage optimal control problem and an iterative approach was
developed for its solution. The method can be used to develop and
evaluate optimal strategies for selection on multiple QTL for a wide
range of situations and genetic models.
Key words: selection / quantitative trait loci / optimization / marker assisted selection
Correspondence and reprints: Jack C.M. Dekkers
e-mail: jdekkers@iastate.edu
© INRA, EDP Sciences 2002