Competition and Cooperation in One-Dimensional Stepping-Stone Models

Mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well known, their effects on mutualism are not fully understood. With range expansions of microbes in mind, we show that, even when mutualism confe...

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Main Authors: Korolev, Kirill Sergeevich, Nelson, David R.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/66506
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author Korolev, Kirill Sergeevich
Nelson, David R.
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Korolev, Kirill Sergeevich
Nelson, David R.
author_sort Korolev, Kirill Sergeevich
collection MIT
description Mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well known, their effects on mutualism are not fully understood. With range expansions of microbes in mind, we show that, even when mutualism confers a selective advantage, it persists only in populations with high density and frequent migrations. When these parameters are reduced, mutualism is generically lost via a directed percolation (DP) process, with a phase diagram strongly influenced by an exceptional symmetric DP (DP2) transition.
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spelling mit-1721.1/665062022-09-30T21:25:54Z Competition and Cooperation in One-Dimensional Stepping-Stone Models Korolev, Kirill Sergeevich Nelson, David R. Massachusetts Institute of Technology. Department of Physics Korolev, Kirill Sergeevich Korolev, Kirill Sergeevich Mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well known, their effects on mutualism are not fully understood. With range expansions of microbes in mind, we show that, even when mutualism confers a selective advantage, it persists only in populations with high density and frequent migrations. When these parameters are reduced, mutualism is generically lost via a directed percolation (DP) process, with a phase diagram strongly influenced by an exceptional symmetric DP (DP2) transition. National Science Foundation (Grant No. DMR-1005289) Harvard Materials Research Science and Engineering Center National Science Foundation (U.S.) (Grant No. DMR-0820484) 2011-10-19T21:04:59Z 2011-10-19T21:04:59Z 2011-08 2011-04 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/66506 Korolev, K., and David Nelson. “Competition and Cooperation in One-Dimensional Stepping-Stone Models.” Physical Review Letters 107 (2011): n. pag. Web. 19 Oct. 2011. © 2011 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.107.088103 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Korolev, Kirill Sergeevich
Nelson, David R.
Competition and Cooperation in One-Dimensional Stepping-Stone Models
title Competition and Cooperation in One-Dimensional Stepping-Stone Models
title_full Competition and Cooperation in One-Dimensional Stepping-Stone Models
title_fullStr Competition and Cooperation in One-Dimensional Stepping-Stone Models
title_full_unstemmed Competition and Cooperation in One-Dimensional Stepping-Stone Models
title_short Competition and Cooperation in One-Dimensional Stepping-Stone Models
title_sort competition and cooperation in one dimensional stepping stone models
url http://hdl.handle.net/1721.1/66506
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