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An improved formulation of marker heterozygosity in recurrent selection and backcross schemes

Published online by Cambridge University Press:  10 March 2004

Z. W. LUO
Affiliation:
School of Biosciences, The University of Birmingham Edgbaston, Birmingham B15 2TT, UK Laboratory of Population & Quantitative Genetics, Institute of Genetics, Fudan University, Shanghai 200433, China
L. MA
Affiliation:
Laboratory of Population & Quantitative Genetics, Institute of Genetics, Fudan University, Shanghai 200433, China
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Abstract

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This report presents a theoretical formulation for predicting heterozygosity of a putative marker locus linked to two quantitative trait loci (QTL) in a recurrent selection and backcross (RSB) scheme. Since the heterozygosity at any given marker locus maintained in such a breeding programme reflects its map location relative to QTL, the present study develops the theoretical analysis of the QTL mapping method that recently appeared in the literature. The formulae take into account selection, recombination and finite population size during the multiple-generation breeding scheme. The single-marker and two-QTL model was compared numerically with the model involving two linked marker loci and two QTL. Without recombination interference, the two models predict the same expected heterozygosity at the linked marker loci, indicating that the model is valid for predicting marker heterozygosity maintained at any loci in an RSB breeding scheme. The formulation is demonstrated numerically for several RSB schemes and its implications in developing a likelihood-based statistical framework for modeling the RSB experiments are discussed.

Type
Research Article
Copyright
© 2004 Cambridge University Press