Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-22T23:57:56.445Z Has data issue: false hasContentIssue false

The genetic correlation between characters maintained by selection, linkage and inbreeding

Published online by Cambridge University Press:  14 April 2009

Russell Lande
Affiliation:
Department of Biophysics and Theoretical Biology, The University of Chicago, Chicago, Illinois 60637, 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.

Mutation is modelled in two quantitative characters under separate genetic control in a large population. A bivariate pattern of selection acts to correlate the characters and, without pleiotropy, their genetic correlation is due entirely to linkage disequilibrium. Data on spontaneous mutation, the effective number of genes, and the intensity of natural selection on quantitative characters are used to evaluate the models. It is concluded that, even when selection favors a high correlation between the characters, with random mating and no linkage between loci influencing different traits the genetic correlation between characters is likely to be small in magnitude. A genetic correlation of large magnitude can be maintained only if the loci influencing different characters are tightly linked, or there is a high level of inbreeding in the population created by frequent mating between closely related individuals.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

References

REFERENCES

Bader, R. S. & Hall, J. S. (1960). Osteometric variation and function in bats. Evolution 14, 817.CrossRefGoogle Scholar
Bailey, D. W. (1956). A comparison of genetic and environmental principal components of morphogenesis in mice. Growth 20, 6374.Google ScholarPubMed
Berg, R. L. (1960). The ecological significance of correlation pleiades. Evolution 14, 171180.CrossRefGoogle Scholar
Cheverud, J. M. (1982). Phenotypic, genetic, and environmental morphological integration in the cranium. Evolution 36, 499516.CrossRefGoogle ScholarPubMed
Darwin, Ch. (1876). The Variation of Animals and Plants under Domestication, vol. 2, 2nd edn.New York: D. Appleton.Google Scholar
Falconer, D. S. (1981). Introduction to Quantitative Genetics, 2nd ed.London: Longman.Google Scholar
Fleming, W. G. (1979). Equilibrium distributions of continuous polygenic traits. S.I.A.M. J. Appl. Math. 36, 148168.CrossRefGoogle Scholar
Haldane, J. B. S. (1954). The measurement of natural selection. Proc. IX Intl. Cong. Genet. 1, 480487.Google Scholar
Hashiguchi, S. & Morishima, H. (1969). Estimation of genetic contribution of principal components to individual variates concerned. Biometrics 25, 915.CrossRefGoogle ScholarPubMed
Hegmann, J. P. & Defries, J. C. (1970). Are genetic and environmental correlations correlated ? Nature 226, 284285.CrossRefGoogle ScholarPubMed
Hill, W. G. (1982). Predictions of response to artificial selection from new mutations. Genetical Research 40, 255278.CrossRefGoogle ScholarPubMed
Holden, L. R. (1982). New properties of the two-locus partial selfing model with selection. Genetics 93, 217236.CrossRefGoogle Scholar
Hoi-Sen, Y. (1972). Is sub-line differentiation a continuing process in inbred strains of mice? Genetical Research 19, 5359.CrossRefGoogle Scholar
Johnson, C. (1976). Introduction to Natural Selection. Baltimore: University Park Press.Google Scholar
Kimura, M. (1965). A stochastic model concerning the maintenance of genetic variability in quantitative characters. Proc. Natl. Acad. Sci. U.S.A. 54, 731736.CrossRefGoogle ScholarPubMed
Kurtén, B. (1953). On the variation and population dynamics of fossil and recent mammal populations. Acta Zool. Fennica 76, 1122.Google Scholar
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. (1977). The influence of the mating system on the maintenance of genetic variability in polygenic characters. Genetics 86, 485498.CrossRefGoogle ScholarPubMed
Lande, R. (1979). Quantitative genetic analysis of multivariate evolution, applied to brain: body size allometry. Evolution 33, 402416.Google ScholarPubMed
Lande, R. (1980 a). The genetic covariance between characters maintained by pleiotropic mutations. Genetics 94, 203215.CrossRefGoogle ScholarPubMed
Lande, R. (1980 b). Sexual dimorphism, sexual selection and adaptation in polygenic characters. Evolution 34, 292305.CrossRefGoogle ScholarPubMed
Lande, R. (1981). The minimum number of genes contributing to quantitative variation between and within populations. Genetics 99, 541553.CrossRefGoogle ScholarPubMed
Lande, R. & Arnold, S. J. (1983). The measurement of selection on correlated characters. Evolution 37, 12101226.CrossRefGoogle ScholarPubMed
Lande, R. & Schemske, D. W. (1984). The evolution of self-fertilization and inbreeding depression in plants. I. Genetic models. Evolution. (In the Press.)Google Scholar
Leamy, L. (1977). Genetic and environmental correlations of morphometric traits in randombred house mice. Evolution 31, 357369.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1974). The Genetic Basis of Evolutionary Change. New York: Columbia University Press.Google Scholar
Lloyd, D. G. (1979). Some reproductive factors affecting the selection of self-fertilization in plants. Amer. Natur. 113, 6797.CrossRefGoogle Scholar
Olson, E. C. & Miller, R. L. (1958). Morphological Integration. Chicago: University of Chicago Press.Google Scholar
Russell, W. A., Sprague, G. F. & Penny, L. H. (1963). Mutations affecting quantitative characters in long-time inbred lines of maize. Crop Sci. 3, 175178.CrossRefGoogle Scholar
Schmalhausen, I. I. (1949). Factors of Evolution, the Theory of Stabilizing Selection. Philadelphia: Blakiston.Google Scholar
Sprague, G. F., Russell, W. A. & Penny, L. H. (1960). Mutations affecting quantitative traits in the selfed progeny of doubled monoploid maize stocks. Genetics 45, 855866.CrossRefGoogle ScholarPubMed
Turelli, M. (1984). Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle. Theoretical Population Biology 25, 138193.CrossRefGoogle Scholar
Waddington, C. H. (1957). The Strategy of the Genes. London: Allen and Unwin.Google Scholar
Waddington, C. H. (1960). Experiments on canalizing selection. Genetical Research 1, 140150.CrossRefGoogle Scholar
Wright, S. (1968). Evolution and the Genetics of Populations, vol. 1. Genetic and Biometric Foundations. Chicago: University of Chicago Press.Google Scholar
Wright, S. (1969). Evolution and the Genetics of Populations, vol. 2. The Theory of Gene Frequencies. Chicago: University of Chicago Press.Google Scholar