Amplification on Undirected Population Structures: Comets Beat Stars

Abstract The fixation probability is the probability that a new mutant introduced in a homogeneous population eventually takes over the entire population. The fixation probability is a fundamental quantity of natural selection, and known to depend on the population structure. Amplifiers of natural s...

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Autores principales:	Andreas Pavlogiannis, Josef Tkadlec, Krishnendu Chatterjee, Martin A. Nowak
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/fa249a1d88434deeac727ee2334f9947
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spelling	oai:doaj.org-article:fa249a1d88434deeac727ee2334f99472021-12-02T16:06:32ZAmplification on Undirected Population Structures: Comets Beat Stars10.1038/s41598-017-00107-w2045-2322https://doaj.org/article/fa249a1d88434deeac727ee2334f99472017-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00107-whttps://doaj.org/toc/2045-2322Abstract The fixation probability is the probability that a new mutant introduced in a homogeneous population eventually takes over the entire population. The fixation probability is a fundamental quantity of natural selection, and known to depend on the population structure. Amplifiers of natural selection are population structures which increase the fixation probability of advantageous mutants, as compared to the baseline case of well-mixed populations. In this work we focus on symmetric population structures represented as undirected graphs. In the regime of undirected graphs, the strongest amplifier known has been the Star graph, and the existence of undirected graphs with stronger amplification properties has remained open for over a decade. In this work we present the Comet and Comet-swarm families of undirected graphs. We show that for a range of fitness values of the mutants, the Comet and Comet-swarm graphs have fixation probability strictly larger than the fixation probability of the Star graph, for fixed population size and at the limit of large populations, respectively.Andreas PavlogiannisJosef TkadlecKrishnendu ChatterjeeMartin A. NowakNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Andreas Pavlogiannis Josef Tkadlec Krishnendu Chatterjee Martin A. Nowak Amplification on Undirected Population Structures: Comets Beat Stars
description	Abstract The fixation probability is the probability that a new mutant introduced in a homogeneous population eventually takes over the entire population. The fixation probability is a fundamental quantity of natural selection, and known to depend on the population structure. Amplifiers of natural selection are population structures which increase the fixation probability of advantageous mutants, as compared to the baseline case of well-mixed populations. In this work we focus on symmetric population structures represented as undirected graphs. In the regime of undirected graphs, the strongest amplifier known has been the Star graph, and the existence of undirected graphs with stronger amplification properties has remained open for over a decade. In this work we present the Comet and Comet-swarm families of undirected graphs. We show that for a range of fitness values of the mutants, the Comet and Comet-swarm graphs have fixation probability strictly larger than the fixation probability of the Star graph, for fixed population size and at the limit of large populations, respectively.
format	article
author	Andreas Pavlogiannis Josef Tkadlec Krishnendu Chatterjee Martin A. Nowak
author_facet	Andreas Pavlogiannis Josef Tkadlec Krishnendu Chatterjee Martin A. Nowak
author_sort	Andreas Pavlogiannis
title	Amplification on Undirected Population Structures: Comets Beat Stars
title_short	Amplification on Undirected Population Structures: Comets Beat Stars
title_full	Amplification on Undirected Population Structures: Comets Beat Stars
title_fullStr	Amplification on Undirected Population Structures: Comets Beat Stars
title_full_unstemmed	Amplification on Undirected Population Structures: Comets Beat Stars
title_sort	amplification on undirected population structures: comets beat stars
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/fa249a1d88434deeac727ee2334f9947
work_keys_str_mv	AT andreaspavlogiannis amplificationonundirectedpopulationstructurescometsbeatstars AT joseftkadlec amplificationonundirectedpopulationstructurescometsbeatstars AT krishnenduchatterjee amplificationonundirectedpopulationstructurescometsbeatstars AT martinanowak amplificationonundirectedpopulationstructurescometsbeatstars
_version_	1718385002564026368

Amplification on Undirected Population Structures: Comets Beat Stars

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