A one locus, biased mutation model and its equivalence to an unbiased model

Waxman, D. and Peck, JR (2004) A one locus, biased mutation model and its equivalence to an unbiased model. BioSystems, 78. pp. 93-98. ISSN 0303-2647

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Abstract

Experimental data suggests that for some continuously varying characters under stabilising selection, mutation may cause a mean change in the value of the character. A one locus, mathematical model of a continuously varying biological character with this property of biased mutation is investigated. Via a mathematical transformation, the equilibrium equation describing a large population of individuals is reduced to the equilibrium equation describing a mutationally unbiased problem. Knowledge of an unbiased problem is thus su¢ cient to determine all equilibrium properties of the corresponding biased problem. In the biased mutation problem, the dependence of the mean equilibrium value of the character, as a function of the mutational bias, is non monotonic and remains small, for all levels of mutational bias. The analysis presented in this work sheds new light on Turelli�s House of Cards approximation.

Item Type: Article
Schools and Departments: School of Life Sciences > Biology and Environmental Science
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH0301 Biology
Depositing User: SRO Admin
Date Deposited: 15 Feb 2007
Last Modified: 13 Mar 2017 20:49
URI: http://sro.sussex.ac.uk/id/eprint/769
Google Scholar:2 Citations

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