Approximated Variance of Inbreeding Coefficient due to Multiple Paths in a Pedigree

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The actual variance of the inbreeding coefficient was derived for a pedigree with multiple paths to foundation animals. For each path, variances of the inbreeding coefficients were computed by the procedure using a theory on variable segments in a chromosome. Covariances between the actual inbreeding coefficients corresponding to the individual paths are necessary for computing the total variance of the inbreeding coefficient. The covariance can be approximated by an equation comparable to the one for estimation of variance of the inbreeding coefficient for a single path in a pedigree, depending on the inbreeding coefficients, the coefficient of variation of the length of the chromosome segment and the number of chromosome segments. The analytical variances estimated for pedigrees generally agreed with the simulated values. Numerical examples are also presented.

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  • 日本畜産学会報

    日本畜産学会報 71 (4), 348-352, 2000

    公益社団法人 日本畜産学会

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