Stochasticity in the adaptive dynamics of evolution: the bare bones |
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Authors: | Fima C Klebaner Serik Sagitov Vladimir A Vatutin Patsy Haccou Peter Jagers |
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Affiliation: | a Department of Mathematical Sciences , Monash University , Melbourne , Australia. |
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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. |
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