The transition from evolutionary stability to branching : a catastrophic evolutionary shift

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dc.contributor.authorDercole, Fabioen_ZA
dc.contributor.authorRossa, Fabio Dellaen_ZA
dc.contributor.authorLandi, Pietroen_ZA
dc.date.accessioned2016-06-22T14:22:23Z
dc.date.available2016-06-22T14:22:23Z
dc.date.issued2016-05-14
dc.descriptionCITATION: Dercole, F., Rossa, F. & Landi, P. 2016. The transition from evolutionary stability to branching : a catastrophic evolutionary shift. Scientific Reports, 6:26310, doi:10.1038/srep26310.
dc.descriptionThe original publication is available at http://www.nature.com
dc.descriptionPublication of this article was funded by the Stellenbosch University Open Access Fund.
dc.description.abstractEvolutionary 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 ESSbranching 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.en_ZA
dc.description.urihttp://www.nature.com/articles/srep26310
dc.description.versionPublisher's version
dc.format.extent8 pages
dc.identifier.citationDercole, F., Rossa, F. & Landi, P. 2016. The transition from evolutionary stability to branching : a catastrophic evolutionary shift. Scientific Reports, 6:26310, doi:10.1038/srep26310
dc.identifier.issn2045-2322 (Online)
dc.identifier.otherdoi:10.1038/srep26310
dc.identifier.urihttp://hdl.handle.net/10019.1/99048
dc.language.isoen_ZAen_ZA
dc.publisherNature Publishing Group
dc.rights.holderAuthors retain copyright
dc.subjectEvolutionary stabilityen_ZA
dc.subjectEvolutionary branchingen_ZA
dc.subjectTransitionen_ZA
dc.subjectEvolution (Biology) -- Mathematical modelsen_ZA
dc.subjectMutation (Biology) -- Mathematical modelsen_ZA
dc.subjectAdaptive Dynamicsen_ZA
dc.subjectCoevolutionen_ZA
dc.titleThe transition from evolutionary stability to branching : a catastrophic evolutionary shiften_ZA
dc.typeArticleen_ZA
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