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Sequences in genetic algebras for overlapping generations

Published online by Cambridge University Press:  20 January 2009

I. Heuch
I. Heuch
Affiliation:
Institute of General Genetics, University of Oslo, Norway
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When Etherington (2) introduced linear commutative non-associative algebras in connection with problems in theoretical genetics, he pointed out that various sequences of elements in these algebras represented different mating systems. In all such systems it was however assumed that the generations did not overlap, and this restriction has been kept in later work in this field. In this paper we treat sequences which make it possible to find the probability distribution in successive generations in a discrete time model where the generations may be overlapping. We also consider idempotents in genetic algebras and outline how the method used on the overlapping generation sequence may be applied to other sequences.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 1 , June 1972 , pp. 19 - 29
Copyright
Copyright © Edinburgh Mathematical Society 1972

References

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