Phase transitions in sexual populations subject to stabilising selection
Phase transitions in sexual populations subject to stabilising selection
In this paper we show that a simple model of an evolving sexual population, which dates back to some of the earliest work in theoretical population genetics, exhibits an unexpected and previously unobserved phase transition between ordered and disordered states. This behavior is not present in populations evolving asexually without recombination and is thus important in any comparison of sexual and asexual populations. In order to calculate the details of the phase transition, we use techniques from statistical physics. We introduce the correlation of the population as the order parameter of the system and use maximum entropy inference to find the state of the population at any time.
evolution, phase transition, stabilising selection
158103
Rogers, Alex
f9130bc6-da32-474e-9fab-6c6cb8077fdc
April 2003
Rogers, Alex
f9130bc6-da32-474e-9fab-6c6cb8077fdc
Rogers, Alex
(2003)
Phase transitions in sexual populations subject to stabilising selection.
Physical Review Letters, 90 (15), .
(doi:10.1103/PhysRevLett.90.158103).
Abstract
In this paper we show that a simple model of an evolving sexual population, which dates back to some of the earliest work in theoretical population genetics, exhibits an unexpected and previously unobserved phase transition between ordered and disordered states. This behavior is not present in populations evolving asexually without recombination and is thus important in any comparison of sexual and asexual populations. In order to calculate the details of the phase transition, we use techniques from statistical physics. We introduce the correlation of the population as the order parameter of the system and use maximum entropy inference to find the state of the population at any time.
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Published date: April 2003
Keywords:
evolution, phase transition, stabilising selection
Organisations:
Agents, Interactions & Complexity
Identifiers
Local EPrints ID: 257987
URI: http://eprints.soton.ac.uk/id/eprint/257987
PURE UUID: 395f4560-9ef2-4c78-9156-7690b482a482
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Date deposited: 24 Jul 2003
Last modified: 14 Mar 2024 06:04
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Author:
Alex Rogers
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