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Multiple gene identities

Published online by Cambridge University Press:  01 July 2016

E. A. Thompson*
Affiliation:
University of Cambridge

Extract

The relationships between individuals may be specified by the genes which they have in common, where two genes are considered to be the same only if they are identical by descent from some common ancestor. Relationships between two individuals have been extensively studied by, amongst many others, Cotterman (1940), Malécot (1948) and Li and Sacks (1954). Less progress has been made with the more general problem of relationships between an arbitrary number of individuals. Elandt-Johnson (1971) has considered the special case of joint genotype distributions in a sibship, and Hilden (1970) has constructed an algebraic method of combining information on several individuals to give the conditional distribution of a single unborn relative, but neither of these approaches provides a general solution to the problem.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1975 

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References

Cotterman, C. W. (1940) A calculus for statistico genetics. . Ohio State University, Columbus, Ohio.Google Scholar
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Thomson, E. A. (1974) Gene identities and multiple relationships. Biometrics. To appear.CrossRefGoogle Scholar