Drift, draft and structure: some mathematical models of evolution

Alison M. Etheridge

Banach Center Publications (2008)

  • Volume: 80, Issue: 1, page 121-144
  • ISSN: 0137-6934

Abstract

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Understanding the evolution of individuals which live in a structured and fluctuating environment is of central importance in mathematical population genetics. Here we outline some of the mathematical challenges arising from modelling structured populations, primarily focussing on the interplay between forwards in time models for the evolution of the population and backwards in time models for the genealogical trees relating individuals in a sample from that population. In addition to classical models we describe a special case of a new model introduced in very recent work with Nick Barton. A number of directions for future research are suggested.

How to cite

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Alison M. Etheridge. "Drift, draft and structure: some mathematical models of evolution." Banach Center Publications 80.1 (2008): 121-144. <http://eudml.org/doc/281838>.

@article{AlisonM2008,
abstract = {Understanding the evolution of individuals which live in a structured and fluctuating environment is of central importance in mathematical population genetics. Here we outline some of the mathematical challenges arising from modelling structured populations, primarily focussing on the interplay between forwards in time models for the evolution of the population and backwards in time models for the genealogical trees relating individuals in a sample from that population. In addition to classical models we describe a special case of a new model introduced in very recent work with Nick Barton. A number of directions for future research are suggested.},
author = {Alison M. Etheridge},
journal = {Banach Center Publications},
keywords = {spatial population models; extinction-recolonisation; coalescents; Fleming-Viot process; Wright-Fisher model},
language = {eng},
number = {1},
pages = {121-144},
title = {Drift, draft and structure: some mathematical models of evolution},
url = {http://eudml.org/doc/281838},
volume = {80},
year = {2008},
}

TY - JOUR
AU - Alison M. Etheridge
TI - Drift, draft and structure: some mathematical models of evolution
JO - Banach Center Publications
PY - 2008
VL - 80
IS - 1
SP - 121
EP - 144
AB - Understanding the evolution of individuals which live in a structured and fluctuating environment is of central importance in mathematical population genetics. Here we outline some of the mathematical challenges arising from modelling structured populations, primarily focussing on the interplay between forwards in time models for the evolution of the population and backwards in time models for the genealogical trees relating individuals in a sample from that population. In addition to classical models we describe a special case of a new model introduced in very recent work with Nick Barton. A number of directions for future research are suggested.
LA - eng
KW - spatial population models; extinction-recolonisation; coalescents; Fleming-Viot process; Wright-Fisher model
UR - http://eudml.org/doc/281838
ER -

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