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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Oxford University Press
2023
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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. |
format | Online Article Text |
id | pubmed-9846420 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Oxford University Press |
record_format | MEDLINE/PubMed |
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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