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Fractional Coalescent

Title: Fractional Coalescent.
Name(s): Mashayekhi, Somayeh, author
Beerli, Peter, author
Type of Resource: text
Genre: Journal Article
Journal Article
Date Issued: ue Mar 26 00:00:00 ED
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: An approach to the coalescent, the fractional coalescent (f-coalescent), is introduced. The derivation is based on the discretetime Cannings population model in which the variance of the number of offspring depends on the parameter alpha. This additional parameter alpha affects the variability of the patterns of the waiting times; values of alpha < 1 lead to an increase of short time intervals, but occasionally allow for very long time intervals. When alpha = 1, the f-coalescent and the Kingman's n-coalescent are equivalent. The distribution of the time to the most recent common ancestor and the probability that n genes descend from m ancestral genes in a time interval of length T for the f-coalescent are derived. The f-coalescent has been implemented in the population genetic model inference software MIGRATE. Simulation studies suggest that it is possible to accurately estimate alpha values from data that were generated with known alpha values and that the f-coalescent can detect potential environmental heterogeneity within a population. Bayes factor comparisons of simulated data with alpha < 1 and real data (H1N1 influenza and malaria parasites) showed an improved model fit of the f-coalescent over the n-coalescent. The development of the f-coalescent and its inclusion into the inference program MIGRATE facilitates testing for deviations from the n-coalescent.
Identifier: FSU_libsubv1_wos_000462382800066 (IID), 10.1073/pnas.1810239116 (DOI)
Keywords: models, inference, coalescent, Bayesian inference, dna-sequences, environmental heterogeneity, fractional calculus, genealogy, maximum-likelihood-estimation, migration rates, population genetics, population sizes, samples
Publication Note: The publisher's version of record is available at
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Host Institution: FSU
Is Part Of: Proceedings of the National Academy of Sciences of the United States of America.
Issue: iss. 13, vol. 116

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Mashayekhi, S., & Beerli, P. Fractional Coalescent. Proceedings Of The National Academy Of Sciences Of The United States Of America. Retrieved from