Coevolution , Adaptive Dynamics , and the Replicator Equation for a Single Species with a Continuous Trait
نویسنده
چکیده
The single-species Continuously Stable Strategy (CSS) and Neighborhood Invader Strategy (NIS) concepts, originally developed as intuitive stability conditions for the evolution of the average trait of a monomorphic population (known as the adaptive dynamics approach), are shown to be relevant for dynamic stability of coevolutionary systems with finitely many traits parameterized by points in a one-dimensional trait space and of the corresponding continuous trait space replicator equation. The similarities among the predictions of these three approaches to model coevolution are clarified by finding the domain of attraction of a CSS (or NIS) trait in each model. Recent extensions to multi-dimensional trait space are also discussed briefly.
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