Abstract:
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The random model approach for mapping quantitative trait loci (QTLs) is based on differing proportion of alleles identical-by-descent (IBD) between genetically related individuals. In the random model approach, the phenotypic (co)variance among relatives is modeled as a function of the proportion of alleles IBD shared between two individuals at a QTL, which is estimated using genetic markers. Maximum likelihood techniques are then used to estimate the variance due to the QTL, rather than its allelic effects. The random model approach has been proved efficient and advantageous for mapping QTLs in outbred populations. However, so far, the random model approach has been applied only in half-sib or full-sib families. In this paper, we present an extension of the random model approach to general pedigrees. A partly recursive deterministic algorithm has been implemented to calculate IBD proportions. The method has been tested on simulated data in variety of situations regarding pedigree size and complexity, QTL size, and informativeness and density of genetic markers.
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