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) |
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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 | |
State | Published - 2007 |
All Science Journal Classification (ASJC) codes
- General Environmental Science