# Adaptation in simple and complex fitness landscapes

@article{Jain2005AdaptationIS, title={Adaptation in simple and complex fitness landscapes}, author={Kavita Jain and Joachim H A Krug}, journal={arXiv: Populations and Evolution}, year={2005} }

This is an introductory review of deterministic mutation-selection models for asexual populations (i.e., quasispecies theory) and related topics. First, the basic concepts of fitness, mutations, and sequence space are introduced. Different types of mutation-selection dynamics are defined and their relation to problems of statistical physics are outlined. Then the stationary population distribution in simple, single peak fitness landscapes is discussed at length, with particular emphasis on the…

## 46 Citations

### Adaptation dynamics of the quasispecies model

- Biology
- 2008

This work focuses on the Eigen’s model that describes the deterministic dynamics of an infinite number of self-replicating molecules and calculates exactly several properties of this dynamical process within a simplified version of the quasispecies model.

### Quasispecies on Fitness Landscapes.

- Environmental ScienceCurrent topics in microbiology and immunology
- 2016

Selection-mutation dynamics is studied as adaptation and neutral drift on abstract fitness landscapes as well as the role of fitness neutral genotypes in quasispecies.

### Deterministic and Stochastic Regimes of Asexual Evolution on Rugged Fitness Landscapes

- BiologyGenetics
- 2007

Whether the evolutionary trajectory is deterministic or stochastic depends on the effective mutational distance deff up to which the population can spread in genotype space, which is relevant to the interpretation of evolution experiments with microbial populations.

### Evolutionary dynamics on strongly correlated fitness landscapes.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

The dynamical properties such as the number of jumps in the most populated sequence and the temporal distribution of the last jump are calculated, which are shown to exhibit an inverse square dependence as in evolution on uncorrelated fitness landscapes.

### EVOLUTIONARY ADVANTAGE OF SMALL POPULATIONS ON COMPLEX FITNESS LANDSCAPES

- BiologyEvolution; international journal of organic evolution
- 2011

This study indicates that an advantage for small populations is likely whenever the fitness landscape contains local maxima, which appears at intermediate time scales, which are long enough for trapping at local fitness maxima to have occurred but too short for peak escape by the creation of multiple mutants.

### Robustness and epistasis in mutation-selection models.

- BiologyPhysical biology
- 2009

In addition, the occurrence of an error threshold for a general class of epistatic landscapes is investigated and it is shown that diminishing epistasis is a necessary but not sufficient condition for error threshold behaviour.

### Emergence of species in evolutionary “simulated annealing”

- BiologyProceedings of the National Academy of Sciences
- 2009

This study shows that the fitness landscape of a biophysically realistic system is extremely complex, with huge number of local peaks rendering adaptation dynamics to be a glass-like process.

### Evolution in random fitness landscapes: the infinite sites model

- Mathematics
- 2008

The evolution of an asexually reproducing population in an uncorrelated random fitness landscape in the limit of infinite genome size is considered, which implies that each mutation generates a new fitness value drawn from a probability distribution g(w) which lead to an indefinite growth of the population fitness.

### The Speed of Evolution in Large Asexual Populations

- Mathematics
- 2009

An exact solution of the infinite population size limit is presented and an estimate of the population size beyond which it is valid is provided.

### Effects of recombination on the evolvability, genetic diversity and mutational robustness of neutrally evolving populations

- Biology
- 2022

This study focuses on finite populations evolving on neutral networks, and concludes that conflicting trends induced by recombination can be explained by an emerging trade-off between evolvability and genetic diversity on the one hand, and mutational robustness and fitness on the other.

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