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Fisher's geometrical model of evolutionary adaptation - beyond spherical geometry
journal contribution
posted on 2023-06-07, 13:46 authored by David WaxmanFisher's geometrical model of evolutionary adaptation has recently been used in a variety of contexts of interest to evolutionary biologists. The renewed interest in this model strongly motivates generalizations that make it a more realistic description of evolutionary adaptation. Previously, the distribution of mutant effects has, for analytical tractability, rather than biological realism, been taken as spherically symmetric. Here we substantially extend Fisher's model, by allowing a wider class of mutational distributions that incorporate mutational bias and more general deviations from spherical symmetry such as correlations between mutant effects. We also incorporate work on generalized fitness landscapes, thereby reducing the number of artificial assumptions underlying the model. The generalized model exhibits a substantially increased flexibility and a far richer underlying geometry. We find that the distribution characterizing selection coefficients of new mutations is expressed in terms of a number of geometrical invariants associated with mutation, selection and the parental phenotype.
History
Publication status
- Published
Journal
Journal of Theoretical BiologyISSN
0022-5193Publisher
ElsevierExternal DOI
Issue
4Volume
241Page range
887-895Department affiliated with
- Biology and Environmental Science Publications
Full text available
- Yes
Peer reviewed?
- Yes