Abstract
In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 245-251 |
| Number of pages | 7 |
| Journal | Journal of Theoretical Biology |
| Volume | 243 |
| Issue number | 2 |
| DOIs | |
| State | Published - Nov 21 2006 |
All Science Journal Classification (ASJC) codes
- General Immunology and Microbiology
- Applied Mathematics
- General Biochemistry, Genetics and Molecular Biology
- General Agricultural and Biological Sciences
- Statistics and Probability
- Modeling and Simulation
Keywords
- Detailed balance condition
- Evolutionary games
- Finite populations
- Fixation time
- Moran process
- Wright-Fisher process
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