Stochastic models of evolution in genetics, ecology and linguistics

Richard Blythe; A. J. McKane

doi:10.1088/1742-5468/2007/07/P07018

Stochastic models of evolution in genetics, ecology and linguistics

Richard Blythe, A. J. McKane

School of Physics and Astronomy

Research output: Contribution to journal › Literature review › peer-review

Abstract

We give an overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of non-specialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

Original language	English
Article number	P07018
Pages (from-to)	-
Number of pages	58
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue number	JUL
DOIs	https://doi.org/10.1088/1742-5468/2007/07/P07018
Publication status	Published - 2007

Keywords / Materials (for Non-textual outputs)

stochastic particle dynamics (theory)
population dynamics (theory)
interacting agent models
SUBDIVIDED POPULATION
NEUTRAL THEORY
EFFECTIVE SIZE
DIFFUSION APPROXIMATIONS
COALESCENT PROCESS
FRONT PROPAGATION
ISLAND MODEL
MUTANT GENES
SELECTION
FIXATION

Access to Document

10.1088/1742-5468/2007/07/P07018

Cite this

@article{28b9fbb3e89b4e4bbf3228367e131e8a,

title = "Stochastic models of evolution in genetics, ecology and linguistics",

abstract = "We give an overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of non-specialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.",

keywords = "stochastic particle dynamics (theory), population dynamics (theory), interacting agent models, SUBDIVIDED POPULATION, NEUTRAL THEORY, EFFECTIVE SIZE, DIFFUSION APPROXIMATIONS, COALESCENT PROCESS, FRONT PROPAGATION, ISLAND MODEL, MUTANT GENES, SELECTION, FIXATION",

author = "Richard Blythe and McKane, {A. J.}",

year = "2007",

doi = "10.1088/1742-5468/2007/07/P07018",

language = "English",

pages = "--",

journal = " Journal of Statistical Mechanics: Theory and Experiment",

issn = "1742-5468",

publisher = "IOP Publishing",

number = "JUL",

}

TY - JOUR

T1 - Stochastic models of evolution in genetics, ecology and linguistics

AU - Blythe, Richard

AU - McKane, A. J.

PY - 2007

Y1 - 2007

N2 - We give an overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of non-specialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

AB - We give an overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of non-specialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

KW - stochastic particle dynamics (theory)

KW - population dynamics (theory)

KW - interacting agent models

KW - SUBDIVIDED POPULATION

KW - NEUTRAL THEORY

KW - EFFECTIVE SIZE

KW - DIFFUSION APPROXIMATIONS

KW - COALESCENT PROCESS

KW - FRONT PROPAGATION

KW - ISLAND MODEL

KW - MUTANT GENES

KW - SELECTION

KW - FIXATION

U2 - 10.1088/1742-5468/2007/07/P07018

DO - 10.1088/1742-5468/2007/07/P07018

M3 - Literature review

SN - 1742-5468

SP - -

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - JUL

M1 - P07018

ER -

Stochastic models of evolution in genetics, ecology and linguistics

Abstract

Keywords / Materials (for Non-textual outputs)

Access to Document

Fingerprint

Cite this