Evol Ecol Res 7: 1-21 (2005) Full PDF if your library subscribes.
Adaptive dynamics on a lattice: role of spatiality in competition, co-existence and evolutionary branching
Krisztián Mágori,* Péter Szabó, Ferenc Mizera and Géza Meszéna
Department of Biological Physics, Eötvös University, Pázmány Péter sétány 1A, H-1117 Budapest, Hungary
Author to whom all correspondence should be addressed.
We investigated the effect of limited dispersal on co-existence and evolutionary branching on a lattice. The ‘contact process’, which is the minimal model of population growth on a lattice, is modified by introducing local resource competition in addition to site competition. We study phenotypic evolution in the framework of the theory of adaptive dynamics. We show that a higher birth rate cannot compensate for a lower intrinsic lifetime reproduction ratio. Speed difference alone, without resource competition or different dispersal scale, does not lead to co-existence via a competition–colonization trade-off. Co-existence and evolutionary branching become possible only when resource competition, with reduced competition between the populations, is introduced. There is a convergent stable singular point in the strategy space. The singular strategy is an evolutionarily stable strategy (ESS) below a critical strength of resource competition. Above this threshold, the singular strategy is no longer an ESS and evolutionary branching occurs. This is the first demonstration of evolutionary branching on a lattice. We compare the behaviour of the spatial simulation to its mean-field and pair approximation counterparts. This comparison demonstrates that spatiality and limited dispersal reduce the possibility of evolutionary branching, in addition to that of co-existence. We interpret this phenomenon based on the partial spatial segregation between the competing strategies.
Keywords: adaptive dynamics, contact process, evolutionary branching, interacting particle system, limited dispersal.
DOWNLOAD A FREE, FULL PDF COPY
IF you are connected using the IP of a subscribing institution (library, laboratory, etc.)
or through its VPN.
© 2005 Krisztián Mágori. All EER articles are copyrighted by their authors. All authors endorse, permit and license Evolutionary Ecology Ltd. to grant its subscribing institutions/libraries the copying privileges specified below without additional consideration or payment to them or to Evolutionary Ecology, Ltd. These endorsements, in writing, are on file in the office of Evolutionary Ecology, Ltd. Consult authors for permission to use any portion of their work in derivative works, compilations or to distribute their work in any commercial manner.
Subscribing institutions/libraries may grant individuals the privilege of making a single copy of an EER article for non-commercial educational or non-commercial research purposes. Subscribing institutions/libraries may also use articles for non-commercial educational purposes by making any number of copies for course packs or course reserve collections. Subscribing institutions/libraries may also loan single copies of articles to non-commercial libraries for educational purposes.
All copies of abstracts and articles must preserve their copyright notice without modification.