title: Stochasticity in the adaptive dynamics of evolution: the bare bones.
abstract: First a population model with one single type of individuals is considered. Individuals reproduce asexually by splitting into two, with a population-size-dependent probability. Population extinction, growth and persistence are studied. Subsequently the results are extended to such a population with two competing morphs and are applied to a simple model, where morphs arise through mutation. The movement in the trait space of a monomorphic population and its possible branching into polymorphism are discussed. This is a first report. It purports to display the basic conceptual structure of a simple exact probabilistic formulation of adaptive dynamics.
authors.affiliation: Department of Mathematical Sciences, Monash University, Melbourne, Australia.
authors.forename: Fima C
authors.initials: FC
authors.lastname: Klebaner
authors.forename: Serik
authors.initials: S
authors.lastname: Sagitov
authors.forename: Vladimir A
authors.initials: VA
authors.lastname: Vatutin
authors.forename: Patsy
authors.initials: P
authors.lastname: Haccou
authors.forename: Peter
authors.initials: P
authors.lastname: Jagers
mesh_terms: D000222:Adaptation, Physiological; D005075:Biological Evolution; D008954:Models, Biological; D009154:Mutation / Q000235:genetics; D011156:Population Density; D011157:Population Dynamics; D013269:Stochastic Processes