Evolving Populations with Overlapping Generations
Evolving Populations with Overlapping Generations
In this paper, we extend a previously published model of an evolving finite population of multi-loci organisms, where the dynamics of the evolving system are described by the cumulants of the population efficacy distribution. We consider the case of overlapping generations and compare it to the previously studied case where generations are discrete. In the weak selection limit, we can solve the dynamics analytically and show that the changes in population genetic variance due to stochastic effects --- genetic drift --- is twice as great when generations overlap. The comparison of the dynamics of the two models shows many of the features seen in the comparison, performed by Moran, of simple one-locus genetic models with overlapping and non-overlapping generations. Studying the dynamics of the two models gives some insights into these comparisons.
121-29
Rogers, A.
f9130bc6-da32-474e-9fab-6c6cb8077fdc
Prügel-Bennett, A.
b107a151-1751-4d8b-b8db-2c395ac4e14e
April 2000
Rogers, A.
f9130bc6-da32-474e-9fab-6c6cb8077fdc
Prügel-Bennett, A.
b107a151-1751-4d8b-b8db-2c395ac4e14e
Rogers, A. and Prügel-Bennett, A.
(2000)
Evolving Populations with Overlapping Generations.
Theoretical Population Biology, 57 (2), .
Abstract
In this paper, we extend a previously published model of an evolving finite population of multi-loci organisms, where the dynamics of the evolving system are described by the cumulants of the population efficacy distribution. We consider the case of overlapping generations and compare it to the previously studied case where generations are discrete. In the weak selection limit, we can solve the dynamics analytically and show that the changes in population genetic variance due to stochastic effects --- genetic drift --- is twice as great when generations overlap. The comparison of the dynamics of the two models shows many of the features seen in the comparison, performed by Moran, of simple one-locus genetic models with overlapping and non-overlapping generations. Studying the dynamics of the two models gives some insights into these comparisons.
More information
Published date: April 2000
Organisations:
Agents, Interactions & Complexity, Southampton Wireless Group
Identifiers
Local EPrints ID: 250687
URI: http://eprints.soton.ac.uk/id/eprint/250687
PURE UUID: b6c50ff5-5def-4384-babc-21d68e2a061f
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Date deposited: 29 May 2001
Last modified: 14 Mar 2024 04:54
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Contributors
Author:
A. Rogers
Author:
A. Prügel-Bennett
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