Stochasticity in the adaptive dynamics of evolution: the bare bones
Journal article, 2011
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 results are extended to such a population with two competing morphs.Results are applied to a simple model, where morphs arise through mutation. The movement in 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.
branching priocedss
adaptive dynamics
speciation
Author
Peter Jagers
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematical Statistics
Serik Sagitov
Chalmers, Mathematical Sciences, Mathematical Statistics
University of Gothenburg
Fima C. Klebaner
Steklov Mathematical Institute, Russian Academy of Sciences
Vladimir A. Vatutin
Leiden University
Patsy Haccou
Chalmers University of Technology
Journal of Biological Dynamics
1751-3758 (ISSN) 1751-3766 (eISSN)
Vol. 5 2 147-162Subject Categories (SSIF 2011)
Biological Systematics
Probability Theory and Statistics
Roots
Basic sciences
Areas of Advance
Life Science Engineering (2010-2018)
DOI
10.1080/17513758.2010.506041