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Deviation from Hardy–Weinberg proportions in finite populations

Published online by Cambridge University Press:  14 April 2009

Jinliang Wang
Jinliang Wang
Affiliation:
College of Animal Science, Zhejiang Agricultural University, Hangzhou 310029, The People's Republic of China
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For a finite diploid population with no mutation, migration and selection, equations for the deviation of observed genotype frequencies from Hardy–Weinberg proportions are derived in this paper for monoecious species and for autosomal and sex-linked loci in dioecious species. It is shown that the genotype frequency deviation in finite random-mating populations results from the difference between the gene frequencies of male and female gametes, which is determined by two independent causes: the gene frequency difference between male and female parents and the sampling error due to the finite number of offspring. Previous studies have considered only one of the causes and the equations derived by previous authors are applicable only in the special case of random selection. The general equations derived here for both causes incorporate the variances and covariances of family size and thus they reduce to previous equations for random selection. Stochastic simulations are run to check the predictions from different formulae. Non-random mating and variation in census size are considered and the applications of the derived formulae are exemplified.

Type
Research Article
Information
Genetics Research , Volume 68 , Issue 3 , December 1996 , pp. 249 - 257
Copyright
Copyright © Cambridge University Press 1996

References

Caballero, A., (1994). Developments in the prediction of effective population size. Heredity 73, 657–679.Google Scholar
Caballero, A., & Hill, W. G. (1992 a). Effective size of nonrandom mating populations. Genetics 130, 909–916.CrossRefGoogle ScholarPubMed
Caballero, A., & Hill, W. G. (1992 b). Effects of partial inbreeding on fixation rates and variation of mutant genes. Genetics 131, 493–507.Google Scholar
Caballero, A., Keightley, P. D., & Hill, W. G., (1991). Strategies for increasing fixation probabilities of recessive mutations. Genetical Research 58, 129–138.CrossRefGoogle Scholar
Crossa, J., & Vencovsky, R., (1994). Implications of the variance effective population size on the genetic conservation of monoecious species. Theoretical and Applied Genetics 89, 936–942.Google Scholar
Crow, J. F., & Denniston, C., (1988). Inbreeding and variance effective population numbers. Evolution 42, 482–495.Google Scholar
Falconer, D. S., (1981). Introduction to Quantitative Genetics, 2nd edn. New York: Longman.Google Scholar
Gowe, R. S., Robertson, A., & Latter, B. D. H., (1959). Environment and poultry breeding problems. 5. The design of poultry control strains. Poultry Science 38, 462–471.Google Scholar
Hedrick, P. W., & Cockerham, C. C., (1986). Partial inbreeding: equilibrium heterozygosity and the heterozygosity paradox. Evolution 40, 856–861.CrossRefGoogle ScholarPubMed
Hill, W. G., (1972). Effective size of populations with overlapping generations. Theoretical Population Biology 3, 278–289.Google Scholar
Hill, W. G., (1979). A note on effective population size with overlapping generations. Genetics 92, 317–322.Google Scholar
Kimura, M., & Crow, J. F., (1963). The measurement of effective population number. Evolution 17, 279–288.Google Scholar
Pollak, E., (1980). Effective population numbers and mean times to extinction in dioecious populations with overlapping generations. Mathematical Biosciences 52, 1–25.Google Scholar
Pollak, E., (1990). The effective population size of an agestructured population with a sex-linked locus. Mathematical Biosciences 101, 121–130.Google Scholar
Robertson, A., (1965). The interpretation of genotypic ratios in domestic animal populations. Animal Production 7, 319–324.Google Scholar
Santiago, E., & Caballero, A., (1965). Effective size of populations under selection. Genetics 139, 1013–1030.CrossRefGoogle Scholar
Wang, J., (1995). Exact inbreeding coefficient and effective size of finite populations under partial sib mating. Genetics 140, 357–363.Google Scholar
Wang, J. (1996 a). Inbreeding coefficient and effective size for an X-linked locus in non-random mating populations. Heredity 76, 569–577.CrossRefGoogle Scholar
Wang, J. (1996 b). Inbreeding and variance effective sizes for nonrandom mating populations. Evolution (in press).CrossRefGoogle ScholarPubMed
Wright, S., (1938). Size of population and breeding structure in relation to evolution. Science 87, 430–431.Google Scholar
Wright, S., (1939). Statistical genetics in relation to evolution. Exposés de Biométrie et de Statisque Biologique. Paris: Herman & Cie.Google Scholar