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The transition from evolutionary stability to branching: A catastrophic evolutionary shift
Evolutionary branching—resident-mutant coexistence under disruptive selection—is one of the main contributions of Adaptive Dynamics (AD), the mathematical framework introduced by S.A.H. Geritz, J.A.J. Metz, and coauthors to model the long-term evolution of coevolving multi-species communities. It ha...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4877704/ https://www.ncbi.nlm.nih.gov/pubmed/27215588 http://dx.doi.org/10.1038/srep26310 |
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author | Dercole, Fabio Della Rossa, Fabio Landi, Pietro |
author_facet | Dercole, Fabio Della Rossa, Fabio Landi, Pietro |
author_sort | Dercole, Fabio |
collection | PubMed |
description | Evolutionary branching—resident-mutant coexistence under disruptive selection—is one of the main contributions of Adaptive Dynamics (AD), the mathematical framework introduced by S.A.H. Geritz, J.A.J. Metz, and coauthors to model the long-term evolution of coevolving multi-species communities. It has been shown to be the basic mechanism for sympatric and parapatric speciation, despite the essential asexual nature of AD. After 20 years from its introduction, we unfold the transition from evolutionary stability (ESS) to branching, along with gradual change in environmental, control, or exploitation parameters. The transition is a catastrophic evolutionary shift, the branching dynamics driving the system to a nonlocal evolutionary attractor that is viable before the transition, but unreachable from the ESS. Weak evolutionary stability hence qualifies as an early-warning signal for branching and a testable measure of the community’s resilience against biodiversity. We clarify a controversial theoretical question about the smoothness of the mutant invasion fitness at incipient branching. While a supposed nonsmoothness at third order long prevented the analysis of the ESS-branching transition, we argue that smoothness is generally expected and derive a local canonical model in terms of the geometry of the invasion fitness before branching. Any generic AD model undergoing the transition qualitatively behaves like our canonical model. |
format | Online Article Text |
id | pubmed-4877704 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-48777042016-06-08 The transition from evolutionary stability to branching: A catastrophic evolutionary shift Dercole, Fabio Della Rossa, Fabio Landi, Pietro Sci Rep Article Evolutionary branching—resident-mutant coexistence under disruptive selection—is one of the main contributions of Adaptive Dynamics (AD), the mathematical framework introduced by S.A.H. Geritz, J.A.J. Metz, and coauthors to model the long-term evolution of coevolving multi-species communities. It has been shown to be the basic mechanism for sympatric and parapatric speciation, despite the essential asexual nature of AD. After 20 years from its introduction, we unfold the transition from evolutionary stability (ESS) to branching, along with gradual change in environmental, control, or exploitation parameters. The transition is a catastrophic evolutionary shift, the branching dynamics driving the system to a nonlocal evolutionary attractor that is viable before the transition, but unreachable from the ESS. Weak evolutionary stability hence qualifies as an early-warning signal for branching and a testable measure of the community’s resilience against biodiversity. We clarify a controversial theoretical question about the smoothness of the mutant invasion fitness at incipient branching. While a supposed nonsmoothness at third order long prevented the analysis of the ESS-branching transition, we argue that smoothness is generally expected and derive a local canonical model in terms of the geometry of the invasion fitness before branching. Any generic AD model undergoing the transition qualitatively behaves like our canonical model. Nature Publishing Group 2016-05-24 /pmc/articles/PMC4877704/ /pubmed/27215588 http://dx.doi.org/10.1038/srep26310 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Dercole, Fabio Della Rossa, Fabio Landi, Pietro The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title | The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title_full | The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title_fullStr | The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title_full_unstemmed | The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title_short | The transition from evolutionary stability to branching: A catastrophic evolutionary shift |
title_sort | transition from evolutionary stability to branching: a catastrophic evolutionary shift |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4877704/ https://www.ncbi.nlm.nih.gov/pubmed/27215588 http://dx.doi.org/10.1038/srep26310 |
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