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Genetics, Vol 140, 357-363, Copyright © 1995
INVESTIGATIONS |
Exact Inbreeding Coefficient and Effective Size of Finite Populations Under Partial Sib Mating
J. Wang
College of Animal Sciences, Zhejiang Agricultural University, Hangzhou 310029, People's Republic of China
An exact recurrence equation for inbreeding coefficient is derived for a partially sib-mated population of N individuals mated in N/2 pairs. From the equation, a formula for effective size (N(e)) taking second order terms of 1/Ninto consideration is derived. When the family sizes are Poisson or equally distributed, the formula reduces to N(e) = [(4 - 3{beta})N/(4 - 2{beta})] + 1 or N(e) = [(4 - 3{beta})N/(2 - 2{beta})] - 8/(4 - 3{beta}), approximately. For the special case of sib-mating exclusion and Poisson distribution of family size, the formula simplifies to N(e) = N + 1, which differs from the previous results derived by many authors by a value of one. Stochastic simulations are run to check our results where disagreements with others are involved.
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