Evolutionary branching of single traits

Junling Ma; Lee Worden; Simon Asher Levin

doi:10.1007/978-1-4020-5337-5_10

Evolutionary branching of single traits

Junling Ma, Lee Worden, Simon Asher Levin

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English (US)
Title of host publication	From Energetics to Ecosystems
Subtitle of host publication	The Dynamics and Structure of Ecological Systems
Publisher	Springer Netherlands
Pages	191-212
Number of pages	22
ISBN (Print)	1402053363, 9781402053368
DOIs	https://doi.org/10.1007/978-1-4020-5337-5_10
State	Published - 2007

All Science Journal Classification (ASJC) codes

General Environmental Science

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10.1007/978-1-4020-5337-5_10

Cite this

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title = "Evolutionary branching of single traits",

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.",

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T1 - Evolutionary branching of single traits

AU - Ma, Junling

AU - Worden, Lee

AU - Levin, Simon Asher

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

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M3 - Chapter

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SN - 1402053363

SN - 9781402053368

SP - 191

EP - 212

BT - From Energetics to Ecosystems

PB - Springer Netherlands

ER -

Evolutionary branching of single traits

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