Hostname: page-component-cb9f654ff-hn9fh Total loading time: 0 Render date: 2025-08-19T05:07:34.329Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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].

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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