Coalescent simulation in continuous space: algorithms for large neighbourhood size.

Many species have an essentially continuous distribution in space, in which there are no natural divisions between randomly mating subpopulations. Yet, the standard approach to modelling these populations is to impose an arbitrary grid of demes, adjusting deme sizes and migration rates in an attempt...

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Main Authors: Kelleher, J, Etheridge, A, Barton, N
Format: Journal article
Language:English
Published: Academic Press Inc. 2014
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author Kelleher, J
Etheridge, A
Barton, N
author_facet Kelleher, J
Etheridge, A
Barton, N
author_sort Kelleher, J
collection OXFORD
description Many species have an essentially continuous distribution in space, in which there are no natural divisions between randomly mating subpopulations. Yet, the standard approach to modelling these populations is to impose an arbitrary grid of demes, adjusting deme sizes and migration rates in an attempt to capture the important features of the population. Such indirect methods are required because of the failure of the classical models of isolation by distance, which have been shown to have major technical flaws. A recently introduced model of extinction and recolonisation in two dimensions solves these technical problems, and provides a rigorous technical foundation for the study of populations evolving in a spatial continuum. The coalescent process for this model is simply stated, but direct simulation is very inefficient for large neighbourhood sizes. We present efficient and exact algorithms to simulate this coalescent process for arbitrary sample sizes and numbers of loci, and analyse these algorithms in detail.
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spelling oxford-uuid:95d6b119-59b0-42d9-b27b-21687db2ec912022-03-26T23:48:57ZCoalescent simulation in continuous space: algorithms for large neighbourhood size.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:95d6b119-59b0-42d9-b27b-21687db2ec91EnglishSymplectic Elements at OxfordAcademic Press Inc.2014Kelleher, JEtheridge, ABarton, NMany species have an essentially continuous distribution in space, in which there are no natural divisions between randomly mating subpopulations. Yet, the standard approach to modelling these populations is to impose an arbitrary grid of demes, adjusting deme sizes and migration rates in an attempt to capture the important features of the population. Such indirect methods are required because of the failure of the classical models of isolation by distance, which have been shown to have major technical flaws. A recently introduced model of extinction and recolonisation in two dimensions solves these technical problems, and provides a rigorous technical foundation for the study of populations evolving in a spatial continuum. The coalescent process for this model is simply stated, but direct simulation is very inefficient for large neighbourhood sizes. We present efficient and exact algorithms to simulate this coalescent process for arbitrary sample sizes and numbers of loci, and analyse these algorithms in detail.
spellingShingle Kelleher, J
Etheridge, A
Barton, N
Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title_full Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title_fullStr Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title_full_unstemmed Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title_short Coalescent simulation in continuous space: algorithms for large neighbourhood size.
title_sort coalescent simulation in continuous space algorithms for large neighbourhood size
work_keys_str_mv AT kelleherj coalescentsimulationincontinuousspacealgorithmsforlargeneighbourhoodsize
AT etheridgea coalescentsimulationincontinuousspacealgorithmsforlargeneighbourhoodsize
AT bartonn coalescentsimulationincontinuousspacealgorithmsforlargeneighbourhoodsize