The Dynamical Theory of Coevolution

Dieckmann U (1996). The Dynamical Theory of Coevolution. Doctoral thesis, Leiden University.

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Abstract

A unifying framework is presented for describing the phenotypic coevolutionary dynamics of a general ecological community. We start from an individual-based approach allowing for the interaction of an arbitrary number of species. The adaptive dynamics of species' trait values are derived from the underlying population dynamics within the community; in consequence, the evolutionary process is driven by ecological change. We present a hierarchy of dynamical models for the investigation of coevolutionary systems. The necessity of stochastic treatment is demonstrated and deterministic approximations are derived where appropriate. The mathematical framework advanced here to our knowledge is the first one to combine the individual-based, stochastic perspective with a fully dynamical analysis of the phenotypic coevolutionary process. The hierarchy of models presented is particularly geared to infer evolutionary predictions from ecological assumptions. Applications to evolutionary dynamics both in predator-prey systems and under asymmetric competition demonstrate the versatility of our approach. Rich coevolutionary patterns are obtained and novel evolutionary phenomena are revealed. Deductions are given to derive various well-known equations from the literature of evolutionary modelling. Consequently the different domains of validity for these models are delineated and several ad-hoc assumptions are removed. In particular, equations central to the fields of evolutionary game theory, adaptive dynamics, replicator dynamics and reaction-diffusion models of phenotypic evolution are recovered and are identified as special cases within a dynamical theory of coevolution.

Item Type: Thesis (Doctoral)
Research Programs: Adaptive Dynamics Network (ADN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:07
Last Modified: 07 Mar 2016 16:49
URI: http://pure.iiasa.ac.at/4767

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