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Genetic algebras for some inbreeding systems

Published online by Cambridge University Press:  14 November 2011

P. Holgate
Affiliation:
Birkbeck College, London

Synopsis

The paper deals with genetic algebras for populations in which given fractions of the population practise specified types of inbreeding. It is shown that the technique of linearising the quadratic transformation of genetic type frequencies, which has been studied for triangular algebras, can be extended to a much wider class, including those for inbreeding systems.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

1Abraham, V. M.. Linearising quadratic transformations in genetic algebras. Proc. London Math. Soc., to appear.Google Scholar
2Etherington, I. M. H.. Genetic algebras. Proc. Roy. Soc. Edinburgh 59 (1939), 242258.CrossRefGoogle Scholar
3Etherington, I. M. H.. Duplication of linear algebras. Proc. Edinburgh Math. Soc. 6 (1941), 222230.CrossRefGoogle Scholar
4Holgate, P.. Sequences of powers in genetic algebras. J. London Math. Soc. 42 (1967), 489496.CrossRefGoogle Scholar
5Holgate, P.. Seifing in genetic algebras. J. Math. Biol. 6 (1978), 197206.CrossRefGoogle Scholar
6Holgate, P.. Canonical multiplication in the genetic algebra for linked loci. Linear Algebra and Appl. 26 (1979), 281287.CrossRefGoogle Scholar