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Interaction between migration and breeding studied by means of genetic algebras

Published online by Cambridge University Press:  14 July 2016

P. Holgate
P. Holgate*
Affiliation:
The Nature Conservancy, London
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Extract

In this paper the theory of genetic algebras introduced by Etherington [3], [5] is developed to cover the case where the population is divided into a number of partially isolated subpopulations, between which a limited amount of migration is permitted. It is known [3], [6], [7], [8], [10], that in the absence of selective factors most genetic segregation systems can be represented by algebras belonging to the class of special train algebras, discussed in detail in [4].

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 1 , April 1968 , pp. 1 - 8
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

[1] Albert, A. A. (1942) Non-associative algebras I. Ann. Math. 43, 685–707.Google Scholar
[2] Bellman, R. (1960) Matrix Analysis. McGraw-Hill, New York.Google Scholar
[3] Etherington, I. M. H. (1939) Genetic algebras. Proc. Roy. Soc. Edinburgh 59, 242–258.CrossRefGoogle Scholar
[4] Etherington, I. M. H. (1941) Special train algebras. Quart. J. Math. (2) 12, 1–8.Google Scholar
[5] Etherington, I. M. H. (1941) Non-associative algebras and the symbolism of genetics. Proc. Roy. Soc. Edinburgh B 61, 24–42.Google Scholar
[6] Gonshor, H. (1960) Special train algebras arising in genetics. Proc. Edinburgh Math. Soc. (2) 12, 41–53.Google Scholar
[7] Gonshor, H. (1965) Special train algebras arising in genetics II. Proc. Edinburgh Math. Soc. (2) 14, 333–338.Google Scholar
[8] Holgate, P. (1966) Genetic algebras associated with polyploidy. Proc. Edinburgh Math. Soc. (2) 15, 1–9.Google Scholar
[9] Holgate, P. (1967) Sequences of powers in genetic algebras. J. London Math. Soc. 42, 489–496.Google Scholar
[10] Holgate, P. (1968) The genetic algebra of k linked loci. Proc. London Math. Soc. (3) 18. To appear.CrossRefGoogle Scholar
[11] Tallis, G. M. (1966) A migration model. Biometrics 22, 409–412.CrossRefGoogle ScholarPubMed