Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents
Statistical properties of the site-frequency spectrum associated with Λ-coalescents are our objects of study. In particular, we derive recursions for the expected value, variance, and covariance of the spectrum, extending earlier results of Fu (1995) for the classical Kingman coalescent. Estimating...
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ftpubmed:oai:pubmedcentral.nih.gov:3813835 2023-05-15T15:27:34+02:00 Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents Birkner, Matthias Blath, Jochen Eldon, Bjarki 2013-11 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3813835 http://www.ncbi.nlm.nih.gov/pubmed/24026094 https://doi.org/10.1534/genetics.113.156612 en eng Genetics Society of America http://www.ncbi.nlm.nih.gov/pmc/articles/PMC http://www.ncbi.nlm.nih.gov/pubmed/24026094 http://dx.doi.org/10.1534/genetics.113.156612 Copyright © 2013 by the Genetics Society of America Investigations Text 2013 ftpubmed https://doi.org/10.1534/genetics.113.156612 2014-11-02T01:04:02Z Statistical properties of the site-frequency spectrum associated with Λ-coalescents are our objects of study. In particular, we derive recursions for the expected value, variance, and covariance of the spectrum, extending earlier results of Fu (1995) for the classical Kingman coalescent. Estimating coalescent parameters introduced by certain Λ-coalescents for data sets too large for full-likelihood methods is our focus. The recursions for the expected values we obtain can be used to find the parameter values that give the best fit to the observed frequency spectrum. The expected values are also used to approximate the probability a (derived) mutation arises on a branch subtending a given number of leaves (DNA sequences), allowing us to apply a pseudolikelihood inference to estimate coalescence parameters associated with certain subclasses of Λ-coalescents. The properties of the pseudolikelihood approach are investigated on simulated as well as real mtDNA data sets for the high-fecundity Atlantic cod (Gadus morhua). Our results for two subclasses of Λ-coalescents show that one can distinguish these subclasses from the Kingman coalescent, as well as between the Λ-subclasses, even for a moderate (maybe a few hundred) sample size. Text atlantic cod Gadus morhua PubMed Central (PMC) Genetics 195 3 1037 1053 |
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Investigations Birkner, Matthias Blath, Jochen Eldon, Bjarki Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
topic_facet |
Investigations |
description |
Statistical properties of the site-frequency spectrum associated with Λ-coalescents are our objects of study. In particular, we derive recursions for the expected value, variance, and covariance of the spectrum, extending earlier results of Fu (1995) for the classical Kingman coalescent. Estimating coalescent parameters introduced by certain Λ-coalescents for data sets too large for full-likelihood methods is our focus. The recursions for the expected values we obtain can be used to find the parameter values that give the best fit to the observed frequency spectrum. The expected values are also used to approximate the probability a (derived) mutation arises on a branch subtending a given number of leaves (DNA sequences), allowing us to apply a pseudolikelihood inference to estimate coalescence parameters associated with certain subclasses of Λ-coalescents. The properties of the pseudolikelihood approach are investigated on simulated as well as real mtDNA data sets for the high-fecundity Atlantic cod (Gadus morhua). Our results for two subclasses of Λ-coalescents show that one can distinguish these subclasses from the Kingman coalescent, as well as between the Λ-subclasses, even for a moderate (maybe a few hundred) sample size. |
format |
Text |
author |
Birkner, Matthias Blath, Jochen Eldon, Bjarki |
author_facet |
Birkner, Matthias Blath, Jochen Eldon, Bjarki |
author_sort |
Birkner, Matthias |
title |
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
title_short |
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
title_full |
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
title_fullStr |
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
title_full_unstemmed |
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents |
title_sort |
statistical properties of the site-frequency spectrum associated with λ-coalescents |
publisher |
Genetics Society of America |
publishDate |
2013 |
url |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3813835 http://www.ncbi.nlm.nih.gov/pubmed/24026094 https://doi.org/10.1534/genetics.113.156612 |
genre |
atlantic cod Gadus morhua |
genre_facet |
atlantic cod Gadus morhua |
op_relation |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC http://www.ncbi.nlm.nih.gov/pubmed/24026094 http://dx.doi.org/10.1534/genetics.113.156612 |
op_rights |
Copyright © 2013 by the Genetics Society of America |
op_doi |
https://doi.org/10.1534/genetics.113.156612 |
container_title |
Genetics |
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195 |
container_issue |
3 |
container_start_page |
1037 |
op_container_end_page |
1053 |
_version_ |
1766357995315265536 |