Measure Dynamics on a One-Dimensional Continuous Trait Space: Theoretical Foundations for Adaptive Dynamics

Cressman R & Hofbauer J (2004). Measure Dynamics on a One-Dimensional Continuous Trait Space: Theoretical Foundations for Adaptive Dynamics. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-04-016

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Abstract

The measure dynamic approach to modeling single-species coevolution with a one-dimensional trait space is developed and compared to traditional method of adaptive dynamics and the Maximum Principle. It is shown that among monomorphisms (i.e. measures supported on single trait value), the CSS (Continuously Stable Strategy) characterize those that are Lyapunov stable and attract all initial measures supported in an interval containing this trait value. In the cases where adaptive dynamics predicts evolutionary branching, convergence to dimorphism is established.

Item Type: Monograph (IIASA Interim Report)
Research Programs: Adaptive Dynamics Network (ADN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:17
Last Modified: 06 Nov 2016 13:04
URI: http://pure.iiasa.ac.at/7430

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