Analysis of adaptive walks on NK fitness landscapes with different interaction schemes

@article{Nowak2015AnalysisOA,
  title={Analysis of adaptive walks on NK fitness landscapes with different interaction schemes},
  author={Stefan Nowak and Joachim H A Krug},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2015},
  volume={2015}
}
  • S. Nowak, J. Krug
  • Published 26 March 2015
  • Mathematics
  • Journal of Statistical Mechanics: Theory and Experiment
Fitness landscapes are genotype to fitness mappings commonly used in evolutionary biology and computer science which are closely related to spin glass models. In this paper, we study the NK model for fitness landscapes where the interaction scheme between genes can be explicitly defined. The focus is on how this scheme influences the overall shape of the landscape. Our main tool for the analysis are adaptive walks, an idealized dynamics by which the population moves uphill in fitness and… 
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A combination of analytical and numerical techniques to characterize complex networks and population dynamics on such networks permits to derive several quantitative relationships between the topology of the space of genotypes and the fate of evolving populations.
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TLDR
This chapter reviews studies of accessibility percolation that use probabilistic fitness landscape models to explore the emergence of 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.
Average Fitness Differences on NK Landscapes
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It is shown here that the average fitness difference between adjacent sites in a fitness landscape is intimately tied to the ruggedness through the landscape’s amplitude spectrum and a surprisingly simple analytical estimate explains simulation data with high precision.
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