Analytical Solution to the Expectation of Identity-by-Descent Proportion for a Chromosome Segment Conditional on Marker Data for Half-Sib Family in Granddaughter Design
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概要
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In this paper, the conditional expectations in a closed form of the identity-by-descent proportions (IBDPs) that are the elements of the gametic relationship matrix required in the markerassisted prediction of the effects of a cluster of quantitative trait loci (QTLs) and in the segment mapping are examined, considering the half-sib family on which marker information is used in granddaughter design for QTL analyses in outbred populations. It is allowed here that upstream markers in addition to two flanking markers are available. For the possible patterns of haplotype transmission for the two informative markers, analytical solutions of some form to the expectations of the IBDPs between the half-sib sires and between one of the gametes for the grandsire and the sire are derived. Some numerical results calculated using the solutions obtained are presented as an illustration, assuming one situation where the half-sib sires receive the same non-recombinant marker haplotype from the grandsire. Use of the current solutions can make it easier to calculate the gametic relationship matrix required in the prediction of the effects of concern and in the segment mapping under the considered design.
- 社団法人 日本畜産学会の論文
- 2001-09-25
著者
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Iwaisaki Hiroaki
Faculty Of Agriculture Niigata University
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Matsuda Hirokazu
Graduate School Of Science And Technology Niigata University
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