Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-28T04:20:26.514Z Has data issue: false hasContentIssue false
  • English
  • Français

The maintenance of genetic variability by mutation in a polygenic character with linked loci

Published online by Cambridge University Press:  14 April 2009

Russell Lande
Russell Lande
Affiliation:
Museum of Comparative Zoology, Harvard University, Cambridge, Mass. 02138, U.S.A.
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.

It is assumed that a character under stabilizing selection is determined genetically by n linked, mutable loci with additive effects and a range of many possible allelic effects at each locus. A general qualitative feature of such systems is that the genetic variance for the character is independent of the linkage map of the loci, provided linkage is not very tight. A particular detailed model shows that certain aspects of the genetic system are moulded by stabilizing selection while others are selectively neutral. With reference to experimental data on characters of Drosophila flies, maize, and mice, it is concluded that large amounts of genetic variation can be maintained by mutation in polygenic characters even when there is strong stabilizing selection. The properties of the model are compared with those of heterotic models with linked loci.

Type
Research Article
Information
Genetics Research , Volume 26 , Issue 3 , December 1975 , pp. 221 - 235
Copyright
Copyright © Cambridge University Press 1975

References

REFERENCES

Allard, R. W. & Jain, S. K. (1962). Population studies in predominantly self-pollinated species. II. Analysis of quantitative genetic changes in a bulk-hybrid population of barley. Evolution 16, 90–101.Google Scholar
Barnes, B. W. & Kearsey, M. J. (1970). Variation for metrical characters in Drosophila populations. I. Genetic analysis. Heredity 25, 1–10.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, 131–151.CrossRefGoogle Scholar
Clayton, G. A. & Robertson, A. (1964). The effects of X-rays on quantitative characters. Genetical Research 5, 410–422.CrossRefGoogle Scholar
Cramér, H. (1951). Mathematical Methods of Statistics. Princeton: Princeton University Press.Google Scholar
Dobzhansky, Th., Holtz, A. M. & Spassky, B. (1942). Genetics of natural populations. VIII. Concealed variability in the second and fourth chromosomes of Drosophila pseudo-obscura and its bearing on the problem of heterosis. Genetics 27, 463–490.CrossRefGoogle Scholar
Dobzhansky, Th. & Spassky, B. (1944). Genetics of natural populations. XI. Manifestation of genetic variants in Drosophila pseudoobscura in different environments. Genetics 29, 270–290.CrossRefGoogle ScholarPubMed
East, E. M. & Jones, D. F. (1919). Inbreeding and Outbreeding: Their Genetic and Sociological Significance. Philadelphia: Lippincot.Google Scholar
Falconer, D. S. (1960). Introduction to Quantitative Genetics. New York: Ronald Press.Google Scholar
Fisher, R. A. (1930). The Genetical Theory of Natural Selection. Oxford: Clarendon Press.CrossRefGoogle Scholar
Franklin, I. & Lewontin, R. C. (1970). Is the gene the unit of selection? Genetics 65, 707–734.CrossRefGoogle ScholarPubMed
Gale, J. S. & Kearsey, M. J. (1968). Stable equilibria in the absence of dominance. Heredity 23, 553–561.CrossRefGoogle Scholar
Gibson, J. B. & Bradley, B. P. (1974). Stabilizing selection in constant and fluctuating environments. Heredity 33, 293–302.CrossRefGoogle ScholarPubMed
Grewal, M. S. (1962). The rate of divergence of sublines in the C57BL strain of mice. Genetical Research 3, 226–237.CrossRefGoogle Scholar
Hoi-Sen, Y. (1972). Is sub-line differentiation a continuing process in inbred strains of mice? Genetical Research, 19, 53–59.CrossRefGoogle Scholar
Kearsey, M. J. & Gale, J. S. (1968). Stabilizing selection in the absence of dominance: an additional note. Heredity 23, 617–620.CrossRefGoogle Scholar
Kimura, M. (1965). A stochastic model concerning the maintenance of genetic variability in quantitative characters. Proceedings of the National Academy of Science U.S.A. 54, 731–736.CrossRefGoogle ScholarPubMed
Lack, D. (1966). Population Studies of Birds. Oxford: Clarendon Press.Google Scholar
Latter, B. H. D. (1970). Selection in finite populations with multiple alleles. II. Centrepetal selection, mutation and isoallelic variation. Genetics 66, 165–186.CrossRefGoogle ScholarPubMed
Lerner, I. M. (1954). Genetic Homeostasis. Edinburgh: Oliver and Boyd.Google Scholar
Lewontin, R. C. (1964 a). The interaction of selection and linkage. I. General considerations. Heterotic models. Genetics 49, 49–67.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1964 b). The interaction of selection and linkage. II. Optimum models. Genetics 50, 757–782.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1971). The effect of genetic linkage on the mean fitness of a population. Proceedings of the National Academy of Science U.S.A. 68, 984–986.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1974). The Genetic Basis of Evolutionary Change. New York: Columbia University Press.Google Scholar
Lopez-Fanjul, C. & Hill, W. G. (1973). Genetic differences between populations of D. melanogaster for a quantitative trait. Genetical Research 22, 51–68.CrossRefGoogle ScholarPubMed
Mather, K. (1941). Variation and selection of polygenic characters. Journal of Genetics 41, 159–193.CrossRefGoogle Scholar
Paxman, G. J. (1957). A study of spontaneous mutation in Drosophila melanogaster. Genetica 29, 39–57.CrossRefGoogle Scholar
Rendel, J. M. (1943). Variations in the weights of hatched and unhatched ducks' eggs. Biometrika 33, 48–58.CrossRefGoogle Scholar
Robertson, A. (1956). The effect of selection against extreme deviants based on deviation or homozygosis. Journal of Genetics 54, 236–248.CrossRefGoogle Scholar
Russell, W. A., Sprague, G. F. & Penny, H. L. (1963). Mutations affecting quantitative characters in long-time inbred lines of maize. Crop Science 3, 175–178.CrossRefGoogle Scholar
Scharloo, W. (1964). The effect of stabilizing and disruptive selection on the expression of cubitus interruptus in Drosophila. Genetics 50, 553–562.CrossRefGoogle ScholarPubMed
Scossiroli, R. E. & Scossiroli, S. (1959). On the relative role of mutation and recombination in responses to selection for polygenic traits in irradiated populations of D. melanogaster. International Journal of Radiation Biology 1, 61–69.Google Scholar
Thoday, J. M. & Gibson, J. B. (1972). A simple test for stabilizing and disruptive selection. Egyptian Journal of Genetics and Cytology 1, 47–50.Google Scholar
Waddington, C. H. (1960). Experiments on canalizing selection. Genetical Research 1, 140–150.CrossRefGoogle Scholar
Yamada, Y. & Kitagawa, O. (1961). Doubling doses for polygenic mutations in Drosophila melanogaster. Japanese Journal of Genetics 36, 76–83.Google Scholar