Evolutionary branching of single traits

Junling Ma, Lee Worden, Simon Asher Levin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, using the methods of adaptive dynamics, we develop a framework to explain how evolutionary branching of multiple species or types occurs. The biggest difficulty lies in the change in dimensionality of adaptive dynamical systems before and after branching. We introduce a "double-dimension method" to work around this problem, and deduce branching conditions. These conditions comprise a coexistence condition for mutants and their parents, and a saddle condition for the evolutionary equilibrium in the "doubled" system. The results imply that the branching of multiple species leads to their interference with one another by eliminating the coexistence region of other species and their mutants. If they can coexist with their mutants, then they branch independently.

Original languageEnglish (US)
Title of host publicationFrom Energetics to Ecosystems
Subtitle of host publicationThe Dynamics and Structure of Ecological Systems
PublisherSpringer Netherlands
Pages191-212
Number of pages22
ISBN (Print)1402053363, 9781402053368
DOIs
StatePublished - Dec 1 2007

All Science Journal Classification (ASJC) codes

  • Environmental Science(all)

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    Ma, J., Worden, L., & Levin, S. A. (2007). Evolutionary branching of single traits. In From Energetics to Ecosystems: The Dynamics and Structure of Ecological Systems (pp. 191-212). Springer Netherlands. https://doi.org/10.1007/978-1-4020-5337-5_10