Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-25T11:53:30.513Z Has data issue: false hasContentIssue false

Is offspring—midparent regression affected by assortative mating of parents?

Published online by Cambridge University Press:  14 April 2009

A. Gimelfarb
Affiliation:
Department of Biology (Whitman), The University of Chicago, Chicago, 1L 60637
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.

An analysis based on a model that is different from the traditional Fisher's model for quantitative characters under assortative mating reveals that the genotypic offspring–midparent regression can be affected by assortative mating of parents. It is demonstrated that the prediction that mating parents assortatively introduces only a negligible bias in the estimated coefficient of linear offspring-midparent regression is limited to Fisher's model and cannot be generalized.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

References

Bulmer, M. G. (1980). The Mathematical Theory of Quantitative Characters. Oxford University (Claredon) Press.Google Scholar
Crow, J. F. & Kimura, M. (1970). An Introduction to Population Genetics. New York: Harper & Row.Google Scholar
Falconer, D. S. (1981). Introduction to Quantitative Genetics. New York: The Ronald Press.Google Scholar
Fisher, R. A. (1918). The correlation between relatives on the supposition of Mendelian inheritance. Transactions of the Royal Society of Edinburgh 52, 399433.CrossRefGoogle Scholar
Gimelfarb, A. (1982). Quantitative character dynamics: gametic model. Theoretical Population Biology 22, 324346.CrossRefGoogle Scholar
Gimelfarb, A. (1985 a). Offspring-parent regression: How linear is it? (Submitted to Biometrics.)CrossRefGoogle Scholar
Gimelfarb, A. (1985 b). Non-additive gametic variance under assortive mating. (Submitted.)Google Scholar
Kendall, M. G. & Stuart, A. (1973). The Advanced Theory of Statistics, 3rd edn.New York: Hafner.Google Scholar
Lerner, I. M. (1958). The Genetic Basis of Selection. New York: John Wiley.Google Scholar
Reeve, E. C. R. (1953). Studies in quantitative inheritance. III: Heritability and genetic correlation in progeny tests using different mating systems. Journal of Genetics 51, 520542.CrossRefGoogle Scholar
Reeve, E. C. R. (1961). A note on non-random mating in progeny tests. Genetical Research 2, 195203.CrossRefGoogle Scholar
Vetta, A. (1976). Dominance variance in Fisher's model of assortative mating. Annals of Human Genetics 39, 447453.CrossRefGoogle ScholarPubMed
Wright, S. (1952). The genetics of quantitative variability. In Quantitative Inheritance, ed. Reeve, E. C. R. and Waddington, C. H., pp. 541. Her Majesty's Stationery Office, London.Google Scholar