Asexual evolution waves fluctuations and universality by Daniel Fisher in 2013
Outline
Abstract
- __In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix__
Introduction
- Model and fitness distribution
Heuristics
- Instability and fluctuation of the nose
- Predominant mutations with short-tailed mu of s
Branching process at fixed speed
- Fixation probability at fixed speed
- Sharp shoulder approximation
- Fixation probability and determination of N
- Comparison with results of Good et al
Dynamics and distribution of N(t) at fixed speed
- Typical rho(x) and weighted fixation probability
Feedback and coupled dynamics of nose and mean
- Jumps in mean fitness and clustering of fixation probabilities
- Average fitness distribution
Conditioning on behavior at infinite time
- Exactly solvable suppressed-fluctuation model
- Distribution of population size
- Moments and correlations of rho(chi, t)
- Relationship to Hallatschek model
Field theoretic approaches
- Soft constraints on the population size
Summary and extensions
- Universality for huge populations with short-tailed mutation distributions
- Beyond the universal limit
Appendix A: Average fitness distribution at fixed speed
- Formal steady-state fitness distribution
Appendix B: Well-behaved solution in linear region
Appendix C: Sharp shoulder approximation
Appendix D: Dynamics of phi