title: When does the variance of replicator fitness decrease?
abstract: For the general replicator dynamics with regular relative advantage functions (having non-singular Jacobian and symmetrized Jacobian), it will be shown that the variance of marginal fitness of the replicators strictly decreases along each trajectory of the replicator dynamics near an interior rest point if and only if this rest point is a regular evolutionarily stable state.
authors: Ecological Modelling Research Group of the Hungarian Academy of Science & Department of Plant Taxonomy and Ecology, Eötvös Lorand University, Pázmány P. sétány 1/C, Hungary. garayj@ludens.elte.hu
authors: József
authors: J
authors: Garay
mesh_terms: D005075:Biological Evolution; D014644:Genetic Variation; D008957:Models, Genetic; D015233:Models, Statistical; D012641:Selection, Genetic