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EWF: simulating exact paths of the Wright–Fisher diffusion

MOTIVATION: The Wright–Fisher diffusion is important in population genetics in modelling the evolution of allele frequencies over time subject to the influence of biological phenomena such as selection, mutation and genetic drift. Simulating the paths of the process is challenging due to the form of...

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Detalles Bibliográficos
Autores principales: Sant, Jaromir, Jenkins, Paul A, Koskela, Jere, Spanò, Dario
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Oxford University Press 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9846420/
https://www.ncbi.nlm.nih.gov/pubmed/36629450
http://dx.doi.org/10.1093/bioinformatics/btad017
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author Sant, Jaromir
Jenkins, Paul A
Koskela, Jere
Spanò, Dario
author_facet Sant, Jaromir
Jenkins, Paul A
Koskela, Jere
Spanò, Dario
author_sort Sant, Jaromir
collection PubMed
description MOTIVATION: The Wright–Fisher diffusion is important in population genetics in modelling the evolution of allele frequencies over time subject to the influence of biological phenomena such as selection, mutation and genetic drift. Simulating the paths of the process is challenging due to the form of the transition density. We present EWF, a robust and efficient sampler which returns exact draws for the diffusion and diffusion bridge processes, accounting for general models of selection including those with frequency dependence. RESULTS: Given a configuration of selection, mutation and endpoints, EWF returns draws at the requested sampling times from the law of the corresponding Wright–Fisher process. Output was validated by comparison to approximations of the transition density via the Kolmogorov–Smirnov test and QQ plots. AVAILABILITY AND IMPLEMENTATION: All softwares are available at https://github.com/JaroSant/EWF. SUPPLEMENTARY INFORMATION: Supplementary data are available at Bioinformatics online.
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spelling pubmed-98464202023-01-20 EWF: simulating exact paths of the Wright–Fisher diffusion Sant, Jaromir Jenkins, Paul A Koskela, Jere Spanò, Dario Bioinformatics Applications Note MOTIVATION: The Wright–Fisher diffusion is important in population genetics in modelling the evolution of allele frequencies over time subject to the influence of biological phenomena such as selection, mutation and genetic drift. Simulating the paths of the process is challenging due to the form of the transition density. We present EWF, a robust and efficient sampler which returns exact draws for the diffusion and diffusion bridge processes, accounting for general models of selection including those with frequency dependence. RESULTS: Given a configuration of selection, mutation and endpoints, EWF returns draws at the requested sampling times from the law of the corresponding Wright–Fisher process. Output was validated by comparison to approximations of the transition density via the Kolmogorov–Smirnov test and QQ plots. AVAILABILITY AND IMPLEMENTATION: All softwares are available at https://github.com/JaroSant/EWF. SUPPLEMENTARY INFORMATION: Supplementary data are available at Bioinformatics online. Oxford University Press 2023-01-11 /pmc/articles/PMC9846420/ /pubmed/36629450 http://dx.doi.org/10.1093/bioinformatics/btad017 Text en © The Author(s) 2023. Published by Oxford University Press. https://creativecommons.org/licenses/by/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Applications Note
Sant, Jaromir
Jenkins, Paul A
Koskela, Jere
Spanò, Dario
EWF: simulating exact paths of the Wright–Fisher diffusion
title EWF: simulating exact paths of the Wright–Fisher diffusion
title_full EWF: simulating exact paths of the Wright–Fisher diffusion
title_fullStr EWF: simulating exact paths of the Wright–Fisher diffusion
title_full_unstemmed EWF: simulating exact paths of the Wright–Fisher diffusion
title_short EWF: simulating exact paths of the Wright–Fisher diffusion
title_sort ewf: simulating exact paths of the wright–fisher diffusion
topic Applications Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9846420/
https://www.ncbi.nlm.nih.gov/pubmed/36629450
http://dx.doi.org/10.1093/bioinformatics/btad017
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