Abstract
A theory is given that allows inbreeding coefficients to be calculated exactly for populations with overlapping generations. Emphasis is placed on providing equations well suited for computer iteration. Both monoecious and dioecious populations are considered and family size is not restricted to being Poisson. One-locus and two-locus inbreeding coefficients are evaluated, although the reader may omit the two-locus sections. The exact treatment is shown to be preferable to approximate treatments in that it applies to both early and late generations for all populations sizes. Inbreeding effective numbers found by the exact treatment are compared to various approximate numbers, and the approximate values are found to be generally very good.
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Selected References
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- Crow J. F., Kimura M. The effective number of a population with overlapping generations: a correction and further discussion. Am J Hum Genet. 1972 Jan;24(1):1–10. [PMC free article] [PubMed] [Google Scholar]
- Felsenstein J. Inbreeding and variance effective numbers in populations with overlapping generations. Genetics. 1971 Aug;68(4):581–597. doi: 10.1093/genetics/68.4.581. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ito K., Hiraga S., Yura T. Tryptophanyl transfer RNA synthetase and expression of the tryptophan operon in the trpS mutants of Escherichia coli. Genetics. 1969 Mar;61(3):521–538. doi: 10.1093/genetics/61.3.521. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nei M. Effective size of human populations. Am J Hum Genet. 1970 Nov;22(6):694–696. [PMC free article] [PubMed] [Google Scholar]
- Nei M., Imaizumi Y. Genetic structure of human populations. II. Differentiation of blood group gene frequencies among isolated populations. Heredity (Edinb) 1966 May;21(2):183–190. doi: 10.1038/hdy.1966.17. [DOI] [PubMed] [Google Scholar]
- Weir B. S., Cockerham C. C. Group inbreeding with two linked loci. Genetics. 1969 Nov;63(3):711–742. doi: 10.1093/genetics/63.3.711. [DOI] [PMC free article] [PubMed] [Google Scholar]