Quasi-neutral evolution in populations under small demographic fluctuations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456713" target="_blank" >RIV/00216208:11320/22:10456713 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dtJyqT-vXf" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dtJyqT-vXf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jtbi.2022.111040" target="_blank" >10.1016/j.jtbi.2022.111040</a>
Alternative languages
Result language
angličtina
Original language name
Quasi-neutral evolution in populations under small demographic fluctuations
Original language description
We study an eco-evolutionary dynamics in finite populations of two haploid asexually reproducing allelic types. We focus on the quasi-neutral case when individual types differ only in their intrinsic birth and death rates but have the same expected lifetime reproductive output. We assume that the population size can fluctuate stochastically. We solve the Kolmogorov forward equation in the population whose size fluctuates only minimally and show that the fixation probability is decreasing with the increasing turnover rate. We also show that when the mutant's turnover is small enough, selection favors the mutant replacing residents. Similarly, when the turnover is high enough, selection opposes the replacement. This basic result has previously been demonstrated numerically for the contact process and shown analytically for the Moran process; the current paper extends this analysis to provide an analytical proof for the contact process. We also demonstrate numerically that our results extend for general fluctuating populations and beyond the quasi-neutral case. (C) 2022 Elsevier Ltd. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Theoretical Biology
ISSN
0022-5193
e-ISSN
1095-8541
Volume of the periodical
538
Issue of the periodical within the volume
2022
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
111040
UT code for WoS article
000814479000010
EID of the result in the Scopus database
2-s2.0-85123939845