Abstract
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 - 3β)N/(4 - 2β)] + 1 or N(e) = [(4 - 3β)N/(2 - 2β)] - 8/(4 - 3β), 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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Selected References
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- Caballero A., Hill W. G. Effective size of nonrandom mating populations. Genetics. 1992 Apr;130(4):909–916. doi: 10.1093/genetics/130.4.909. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Jacquard A. Effect of exclusion of sib-mating on genetic drift. Theor Popul Biol. 1971 Mar;2(1):91–99. doi: 10.1016/0040-5809(71)90007-4. [DOI] [PubMed] [Google Scholar]
- ROBINSON P., BRAY D. F. EXPECTED EFFECTS ON THE INBREEDING COEFFICIENT AND RATE OF GENE LOSS OF FOUR METHODS OF REPRODUCING FINITE DIPLOID POPULATIONS. Biometrics. 1965 Jun;21:447–458. [PubMed] [Google Scholar]
- Wright S. Evolution in Mendelian Populations. Genetics. 1931 Mar;16(2):97–159. doi: 10.1093/genetics/16.2.97. [DOI] [PMC free article] [PubMed] [Google Scholar]