Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-20T04:39:19.315Z Has data issue: false hasContentIssue false

Genetic differentiation of quantitative characters between populations or species: I. Mutation and random genetic drift

Published online by Cambridge University Press:  14 April 2009

Ranajit Chakraborty
Affiliation:
Center for Demographic and Population Genetics, University of Texas at Houston, Texas 77025
Masatoshi Nei
Affiliation:
Center for Demographic and Population Genetics, University of Texas at Houston, Texas 77025
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Introducing a new genetic model called the discrete allelic-state model, the evolutionary change of genetic variation of quantitative characters within and between populations is studied under the assumption of no selection. This model allows us to study the effects of mutation and random genetic drift in detail. It is shown that when the allelic effects on phenotype are additive, the rate of approach of the genetic variance within populations to the equilibrium value depends only on the effective population size. It is also shown that the distribution of genotypic value often deviates from normality particularly when the effective population size and the number of loci concerned are small. On the other hand, the interpopulational variance increases linearly with time, if the intrapopu-lational variance remains constant. Therefore, the ratio of interpopulational variance to intrapopulational variance can be used for testing the hypothesis of neutral evolution of quantitative characters.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

Cavalli-Sforza, L. L. & Bodmer, W. F. (1971). The Genetics of Human Populations. San Francisco: W. H. Freeman.Google Scholar
Cavalli-Sforza, L. L. & Feldman, M. W. (1976). Evolution of continuous variation: direct approach through joint distribution of genotypes and phenotypes. Proceedings of the National Academy of Sciences, U.S.A. 73, 16891692.CrossRefGoogle ScholarPubMed
Chakraborty, R. & Nei, M. (1976). Hidden genetic variability within electromorphs in finite populations. Genetics 84, 385393.CrossRefGoogle ScholarPubMed
Chakrabohty, R. & Nei, M. (1977). Bottleneck effect on average heterozygosity and genetic distance with the stepwise mutation model. Evolution 31, 347356.CrossRefGoogle Scholar
Chakraborty, R., Fuerst, P. A. & Nei, M. (1980). Statistical studies on protein polymorphism in natural populations. III. Distribution of allele frequencies and the number of alleles per locus. Genetics 94, 10391063.CrossRefGoogle ScholarPubMed
Clayton, G. A., Morris, J. A. & Robertson, A. (1957). An experimental check on quantitative genetical theory. I. Short-term responses to selection. Journal of Genetics 55, 131151.CrossRefGoogle Scholar
Fisher, R. A. (1922). On the dominance ratio. Proceedings of the Royal Society of Edinburgh 42, 321341.CrossRefGoogle Scholar
Fuerst, P. A., Chakraborty, R. & Nei, M. (1977). Statistical studies on protein polymorphism in natural populations. I. Distribution of single locus heterozygosity. Genetics 86, 455483.CrossRefGoogle ScholarPubMed
Holt, S. B. (1961). Quantitative genetics of finger-print patterns. British Medical Bulletin 17, 247249.CrossRefGoogle ScholarPubMed
Kendall, M. G. (1947). The Advanced Theory of Statistics, Vol. 1, 3rd ed. London: Charles Griffin & Co., Ltd.Google Scholar
Kimura, M. (1965). A stochastic model concerning the maintenance of genetic variability in quantitative characters. Proceedings of the National Academy of Sciences, U.S.A. 54, 731736.CrossRefGoogle ScholarPubMed
Kimura, M. & Crow, J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics 49, 725738.CrossRefGoogle Scholar
Kimura, M. & Ohta, T. (1971). Theoretical Aspects of Population Genetics. Princeton, New Jersey: Princeton University Press.Google ScholarPubMed
Lande, R. (1975). The maintenance of genetic variability by mutation in a polygenic character with linked loci. Genetical Research 26, 221235.CrossRefGoogle Scholar
Lande, R. (1976). Natural selection and random genetic drift in phenotypic evolution. Evolution 30, 314334.CrossRefGoogle ScholarPubMed
Latter, B. D. H. (1970). Selection in finite populations with multiple alleles. II. Centripetal selection, mutation, and isoallelic variation. Genetics 66, 165186.CrossRefGoogle ScholarPubMed
Latter, B. D. H. & Novitski, C. E. (1969). Selection in finite populations with multiple alleles. I. Limits to directional selection. Genetics 62, 859876.CrossRefGoogle ScholarPubMed
Li, W.-H. (1976). Electrophoretic identity of proteins in a finite population and genetic distance between taxa. Genetical Research 28, 119127.CrossRefGoogle Scholar
Nei, M. & Chakrabohty, R. (1973). Genetic distance and electrophoretic identity of proteins between taxa. Journal of Molecular Evolution 2, 323328.CrossRefGoogle ScholarPubMed
Nei, M. & Imaizumi, Y. (1966). Effects of restricted population size and increase in mutation rate on the genetic variation of quantitative characters. Genetics 54, 763782.CrossRefGoogle ScholarPubMed
Ohta, T. & Kimura, M. (1973). A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite population. Genetical Research 22, 201204.CrossRefGoogle Scholar
Robertson, A. (1967). The nature of quantitative genetic variation. Heritage from Mendel (ed. Brink, R. A.), pp. 265280. Madison, Wisconsin: University of Wisconsin Press.Google Scholar
Suzuki, H. (1960). Temporal changes of anthropometric characters of the Japanese. Proceedings of the Darwin Centennial Symposium on Evolution (ed. Oka, H.), pp. 140149. Tokyo: Japan Society for the Promotion of Science.Google Scholar
Wehrhahn, C. F. (1975). The evolution of selectively similar electrophoretically detectable alleles in finite natural populations. Genetics 80, 375394.CrossRefGoogle ScholarPubMed
Wright, S. (1931). Evolution in Mendelian populations. Genetics 16, 97159.CrossRefGoogle ScholarPubMed
Wright, S. (1937). The distribution of gene frequencies in populations. Proceedings of the National Academy of Sciences, U.S.A. 23, 307320.CrossRefGoogle ScholarPubMed