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Inbreeding in genetic algebras

Published online by Cambridge University Press:  01 July 2016

Philip Holgate
Philip Holgate*
Affiliation:
Birkbeck College, London
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Extract

The treatment of selfing in genetic algebras [3] can be extended by the definition of an analogous operator on the copular algebra which corresponds to brother–sister mating, one on the duplicate of the copular algebra corresponding to mating between double first cousins, etc.

Type
Symposium on Mathematical Genetics, London, 26–27 March 1979
Information
Advances in Applied Probability , Volume 12 , Issue 1 , March 1980 , pp. 8
Copyright
Copyright © Applied Probability Trust 1980 

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References

1. Abraham, V. M. (1980) Linearising quadratic transformations in genetic algebras. Proc. London Math. Soc. To appear.Google Scholar
2. Holgate, P. (1967) Sequences of powers in genetic algebras. J. London Math. Soc. 42, 489–496.CrossRefGoogle Scholar
3. Holgate, P. (1978) Selfing in genetic algebras. J. Math. Biol. 6, 197–206.CrossRefGoogle ScholarPubMed
4. Holgate, P. (1980) Genetic algebras for some inbreeding systems. Proc. R. Soc. Edinburgh A. To appear.CrossRefGoogle Scholar