title: Link between population dynamics and dynamics of Darwinian evolution.
abstract: We provide the link between population dynamics and the dynamics of Darwinian evolution via studying the joint population dynamics of similar populations. Similarity implies that the relative dynamics of the populations is slow compared to, and decoupled from, their aggregated dynamics. The relative dynamics is simple, and captured by a Taylor expansion in the difference between the populations. The emerging evolution is directional, except at the singular points of the evolutionary state space. Here "evolutionary branching" may occur. The diversification of life forms thus is demonstrated to be a natural consequence of the Darwinian process.
authors.affiliation: Department of Biological Physics, Eötvös University, Budapest, Hungary. geza.meszena@elte.hu
authors.forename: Géza
authors.initials: G
authors.lastname: Meszéna
authors.forename: Mats
authors.initials: M
authors.lastname: Gyllenberg
authors.forename: Frans J
authors.initials: FJ
authors.lastname: Jacobs
authors.forename: Johan A J
authors.initials: JA
authors.lastname: Metz
mesh_terms: D044822:Biodiversity; D005075:Biological Evolution; D008954:Models, Biological; D011157:Population Dynamics; D012100:Reproduction, Asexual