Evolutionary Accessibility of Modular Fitness Landscapes

@article{Schmiegelt2014EvolutionaryAO,
  title={Evolutionary Accessibility of Modular Fitness Landscapes},
  author={Benjamin Schmiegelt and Joachim H A Krug},
  journal={Journal of Statistical Physics},
  year={2014},
  volume={154},
  pages={334-355}
}
A fitness landscape is a mapping from the space of genetic sequences, which is modeled here as a binary hypercube of dimension L, to the real numbers. We consider random models of fitness landscapes, where fitness values are assigned according to some probabilistic rule, and study the statistical properties of pathways to the global fitness maximum along which fitness increases monotonically. Such paths are important for evolution because they are the only ones that are accessible to an… 
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35 Citations
Background Citations
21
Methods Citations
2
Results Citations
4

35 Citations

Epistasis and constraints in fitness landscapes
TLDR
This work proposes two new sets of measures that explicitly capture two relevant features of fitness landscapes: epistasis and constraints, and shows how these measures can help uncovering the amount and the nature of epistatic interactions in two experimental landscapes.
Analysis of adaptive walks on NK fitness landscapes with different interaction schemes
TLDR
This paper studies the NK model for fitness landscapes where the interaction scheme between genes can be explicitly defined and finds that the distribution of local maxima over the landscape is particularly sensitive to the choice of interaction pattern.
Evolutionary constraints in fitness landscapes
TLDR
This paper presents some measures of evolutionary constraints based on the similarity between accessible paths and the abundance and characteristics of “chains” of obligatory mutations, that are paths going through genotypes with a single fitter neighbor, and shows how they shed light on evolutionary constraints and predictability in experimentally resolved landscapes.
Universality Classes of Interaction Structures for NK Fitness Landscapes
TLDR
A unified framework for computing the exponential growth rate of the expected number of local fitness maxima as a function of L is developed, and two different universality classes of interaction structures that display different asymptotics of this quantity for large k are identified.
Measuring epistasis in fitness landscapes: the correlation of fitness effects of mutations
TLDR
A new natural measure of the amount of epistasis based on the correlation of fitness effects of mutations, which has a natural interpretation, captures well the interaction between mutations and can be obtained analytically for most landscape models.
Measuring epistasis in fitness landscapes: The correlation of fitness effects of mutations.
Analysis of statistical correlations between properties of adaptive walks in fitness landscapes
TLDR
This work exhaustively analyse the statistical properties of adaptive walks for two empirical fitness landscapes and theoretical NK landscapes, finding that a negative correlation between predictability and mean path divergence is established and so the decrease of the number of effective mutational pathways ensures the convergence of the attraction basin of fitness peaks.
Accessibility percolation in random fitness landscapes 3
TLDR
This chapter reviews studies of accessibility percolation that use probabilistic fitness landscape models to explore the emergence of such paths as a function of the initial fitness, the parameters of the landscape or the structure of the genotype graph and discusses their implications for the predictability of evolutionary processes.
Geometry of fitness landscapes: Peaks, shapes and universal positive epistasis
TLDR
It is shown that the constraints induced by the staircase triangulation can be formulated as a condition of universal positive epistasis, an order relation on the fitness effects of arbitrary sets of mutations that respects the inclusion relation between the corresponding genetic backgrounds.
Fitness Landscapes, Adaptation and Sex on the Hypercube
TLDR
In this thesis, several models of fitness landscapes are analyzed with different analytical and numerical methods to identify characteristics in order to compare the model landscapes to experimental measurements.
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References

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