eprintid: 4767 rev_number: 9 eprint_status: archive userid: 351 dir: disk0/00/00/47/67 datestamp: 2016-01-15 02:07:09 lastmod: 2021-08-27 17:15:31 status_changed: 2016-01-15 02:07:09 type: thesis metadata_visibility: show item_issues_count: 2 creators_name: Dieckmann, U. creators_id: 1668 creators_orcid: 0000-0001-7089-0393 title: The Dynamical Theory of Coevolution ispublished: pub internal_subjects: iis_ecl internal_subjects: iis_met internal_subjects: iis_mod divisions: prog_adn 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. date: 1996 date_type: published official_url: https://openaccess.leidenuniv.nl/handle/1887/4449 iiasapubid: XO-96-001 policy_related: TRUE creators_browse_id: 66 full_text_status: public pages: 146 institution: Leiden University department: Faculty of Mathematics & Natural Sciences, Institute of Biology thesis_type: doctoral coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/other citation: Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 (1996). The Dynamical Theory of Coevolution. Doctoral thesis, Leiden University. document_url: https://pure.iiasa.ac.at/id/eprint/4767/1/Proefschrift_Dieckmann.pdf