• Corpus ID: 11097491

Collective Fluctuations in models of adaptation

@article{Hallatschek2015CollectiveFI,
  title={Collective Fluctuations in models of adaptation},
  author={Oskar Hallatschek and Lukas Geyrhofer},
  journal={arXiv: Populations and Evolution},
  year={2015}
}
The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit individuals of the population. Random genetic drift in this evolutionary vanguard also limits the speed of adaptation, which diverges in deterministic models that ignore these chance effects. Several approaches have been developed to analyze the crucial role of noise… 
1 Citations

Figures from this paper

Some aspects of the Fisher-KPP equation and the branching Brownian motion
The Fisher-Kolmogorov, Petrovski, Piscounov equation (FKPP) is a deterministic partial differential equation. It describes the evolution of an invasion front from a stable phase into an unstable

References

SHOWING 1-10 OF 52 REFERENCES
Quantifying Evolutionary Dynamics
TLDR
This thesis investigates the dynamical behavior of traveling wave models and tries to quantify the fluctuations in the adaptation process that are inherent due to the discreteness of individuals and individual mutations.
Asexual evolution waves: fluctuations and universality
TLDR
B branching processes and various asymptotic methods for analyzing the stochastic dynamics are further developed and used to obtain information on fluctuations, time dependence, and the distributions of sizes of subpopulations, jumps in the mean fitness, and other properties.
Stochastic delocalization of finite populations
TLDR
The analytical approach allows us to map out a phase diagram of an order parameter, characterizing the degree of localization, as a function of the two driving parameters, inverse population size and wind speed, which may be used to extend the analysis of delocalization transitions to different settings.
Distribution of fixed beneficial mutations and the rate of adaptation in asexual populations
TLDR
A theoretical model is described to treat both aspects of interference in large populations of large asexual populations and finds that the effective selection coefficient exactly coincides with the most common fixed mutational effect.
Dynamic Mutation–Selection Balance as an Evolutionary Attractor
TLDR
It is found that a surprisingly low fraction of beneficial mutations suffices to achieve stability, even in small populations in the face of high mutation rates and weak selection, maintaining a well-adapted population in spite of Muller’s ratchet.
Quantitative evolutionary dynamics using high-resolution lineage tracking
TLDR
It is found that the spectrum of fitness effects of beneficial mutations is neither exponential nor monotonic, and early adaptation is a predictable consequence of this spectrum and is strikingly reproducible, but the initial small-effect mutations are soon outcompeted by rarer large- effect mutations that result in variability between replicates.
Rate of Adaptation in Large Sexual Populations
TLDR
The rate of adaptation, v, is calculated in several models of such sexual populations and it is shown that v is linear in NUb only in sufficiently small populations, and acceleration of adaptation by recombination implies a strong evolutionary advantage of sex.
Genetic Draft, Selective Interference, and Population Genetics of Rapid Adaptation
TLDR
In this review, recent progress in characterizing and understanding evolution in rapidly adapting populations, in which random associations of mutations with genetic backgrounds of different fitness dominate over genetic drift are discussed.
The solitary wave of asexual evolution
TLDR
It is shown that the accumulation of advantageous mutations is slowed by linkage over a broad, finite range of population size and supports the view of Fisher and Muller, who argued in the 1930s that progressive evolution of organisms is slowed because loci at which beneficial mutations can occur are often linked together on the same chromosome.
...
...