On the prediction of simultaneous inbreeding coefficients at multiple loci

Hernandez Sanchez, Julio, Haley, Chris S., & Woolliams, John A. (2004) On the prediction of simultaneous inbreeding coefficients at multiple loci. Genetical Research, 83(2), pp. 113-120.

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A new deterministic method for predicting simultaneous inbreeding coefficients at three and four loci is presented. The method involves calculating the conditional probability of IBD (identical by descent) at one locus given IBD at other loci, and multiplying this probability by the prior probability of the latter loci being simultaneously IBD. The conditional probability is obtained applying a novel regression model, and the prior probability from the theory of digenic measures of Weir and Cockerham. The model was validated for a finite monoecious population mating at random, with a constant effective population size, and with or without selfing, and also for an infinite population with a constant intermediate proportion of selfing. We assumed discrete generations. Deterministic predictions were very accurate when compared with simulation results, and robust to alternative forms of implementation. These simultaneous inbreeding coefficients were more sensitive to changes in effective population size than in marker spacing. Extensions to predict simultaneous inbreeding coefficients at more than four loci are now possible.

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ID Code: 58643
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: controlled study; gene locus; inbreeding; mating; population size; prediction; probability; regression analysis; simulation; statistical model, Data Interpretation, Statistical; Genetics, Population
DOI: 10.1017/S0016672303006633
ISSN: 0016-6723
Subjects: Australian and New Zealand Standard Research Classification > BIOLOGICAL SCIENCES (060000) > GENETICS (060400) > Quantitative Genetics (incl. Disease and Trait Mapping Genetics (060412)
Australian and New Zealand Standard Research Classification > AGRICULTURAL AND VETERINARY SCIENCES (070000) > ANIMAL PRODUCTION (070200) > Animal Breeding (070201)
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Deposited On: 26 Mar 2013 23:01
Last Modified: 23 Apr 2013 02:55

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