Constant-selection evolutionary dynamics on weighted networks

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Hauptverfasser: Bhaumik, Jnanajyoti, Masuda, Naoki
Format: Preprint
Veröffentlicht: 2024
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author Bhaumik, Jnanajyoti
Masuda, Naoki
author_facet Bhaumik, Jnanajyoti
Masuda, Naoki
contents The population structure often impacts evolutionary dynamics. In constant-selection evolutionary dynamics between two types, amplifiers of selection are networks that promote the fitter mutant to take over the entire population, and suppressors of selection do the opposite. It has been shown that most undirected and unweighted networks are amplifiers of selection under a common updating rule and initial condition. Here, we extensively investigate how edge weights influence selection on undirected networks. We show that random edge weights make small networks less amplifying than the corresponding unweighted networks in a majority of cases and also make them suppressors of selection (i.e., less amplifying than the complete graph, or equivalently, the Moran process) in many cases. Qualitatively, the same result holds true for larger empirical networks. These results suggest that amplifiers of selection are not as common for weighted networks as for unweighted counterparts.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17208
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Constant-selection evolutionary dynamics on weighted networks
Bhaumik, Jnanajyoti
Masuda, Naoki
Physics and Society
Social and Information Networks
Probability
Populations and Evolution
The population structure often impacts evolutionary dynamics. In constant-selection evolutionary dynamics between two types, amplifiers of selection are networks that promote the fitter mutant to take over the entire population, and suppressors of selection do the opposite. It has been shown that most undirected and unweighted networks are amplifiers of selection under a common updating rule and initial condition. Here, we extensively investigate how edge weights influence selection on undirected networks. We show that random edge weights make small networks less amplifying than the corresponding unweighted networks in a majority of cases and also make them suppressors of selection (i.e., less amplifying than the complete graph, or equivalently, the Moran process) in many cases. Qualitatively, the same result holds true for larger empirical networks. These results suggest that amplifiers of selection are not as common for weighted networks as for unweighted counterparts.
title Constant-selection evolutionary dynamics on weighted networks
topic Physics and Society
Social and Information Networks
Probability
Populations and Evolution
url https://arxiv.org/abs/2403.17208