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

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/5063 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/5063 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/5063 archive 351 disk0/00/00/74/30 2016-01-15 02:17:20 2021-08-27 17:18:52 2016-01-15 02:17:20 monograph show 2 Cressman R. Hofbauer J. 1385 Measure Dynamics on a One-Dimensional Continuous Trait Space: Theoretical Foundations for Adaptive Dynamics pub iis_ecl prog_adn 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. 2004-03 published IR-04-016 IR-04-016 1324 public interim_report IIASA, Laxenburg, Austria 25 FALSE info:eu-repo/semantics/book