Fitness potentials and qualitative properties of the Wright-Fisher dynamics
| Autor: | Fabio A. C. C. Chalub, Max O. Souza |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0106 biological sciences
0301 basic medicine Statistics and Probability 010603 evolutionary biology 01 natural sciences Models Biological General Biochemistry Genetics and Molecular Biology 03 medical and health sciences Wright Rare mutations Replicator equation Quantitative Biology::Populations and Evolution Heuristics Statistical physics Quantitative Biology - Populations and Evolution Evolutionary dynamics Stable state Mathematics General Immunology and Microbiology Applied Mathematics Populations and Evolution (q-bio.PE) General Medicine Heavy traffic approximation Biological Evolution Formalism (philosophy of mathematics) 030104 developmental biology FOS: Biological sciences Modeling and Simulation Graphical analysis General Agricultural and Biological Sciences |
| Zdroj: | Journal of theoretical biology. 457 |
| ISSN: | 1095-8541 |
| Popis: | We present a mechanistic formalism for the study of evolutionary dynamics models based on the diffusion approximation described by the Kimura Equation. In this formalism, the central component is the fitness potential, from which we obtain an expression for the amount of work necessary for a given type to reach fixation. In particular, within this interpretation, we develop a graphical analysis --- similar to the one used in classical mechanics --- providing the basic tool for a simple heuristic that describes both the short and long term dynamics. As a by-product, we provide a new definition of an evolutionary stable state in finite populations that includes the case of mixed populations. We finish by showing that our theory -- rigorous for two types evolution without mutations-- is also consistent with the multi-type case, and with the inclusion of rare mutations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect