We have extended the well-known theory to predict single locus and two loci inbreeding to predict inbreeding at any number k of loci simultaneously. It is based on computing probabilities of conditional non-identity successively at adjacent loci, and is slightly more accurate and easier to implement than a previous approximation derived by the first author. Thus, the probability of inbreeding for a DNA segment can be approximated as the probability of inbreeding as k->. We have shown that inbreeding at increasing k, e.g. up to 30 over a 50 cM region, asymptotes slowly to a simulation result obtained for k=1000. A fast algorithm to obtain inbreeding at larger k should render accurate predictions of segment inbreeding. This theory can, among other things, be used in QTL mapping, and therefore, it has been included in the GridQTL software package for predicting ancestral relationships between individuals.

J. Hernandez-Sanchez, William G Hill

Proceedings of the World Congress on Genetics Applied to Livestock Production, Volume , , 26.12, 2006
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