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Optimal adaptive performance and delocalization in NK fitness landscapes

Author

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  • Campos, Paulo R.A
  • Adami, Christoph
  • Wilke, Claus O

Abstract

We investigate the evolutionary dynamics of a finite population of sequences adapting to NK fitness landscapes. We find that, unlike in the case of an infinite population, the average fitness in a finite population is maximized at a small but finite, rather than vanishing, mutation rate. The highest local maxima in the landscape are visited for even larger mutation rates, close to a transition point at which the population delocalizes (i.e., leaves the fitness peak at which it was localized) and starts traversing the sequence space. If the mutation rate is increased even further, the population undergoes a second transition and loses all sensitivity to fitness peaks. This second transition corresponds to the standard error threshold transition first described by Eigen. We discuss the implications of our results for biological evolution and for evolutionary optimization techniques.

Suggested Citation

  • Campos, Paulo R.A & Adami, Christoph & Wilke, Claus O, 2002. "Optimal adaptive performance and delocalization in NK fitness landscapes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 304(3), pages 495-506.
    • Handle: RePEc:eee:phsmap:v:304:y:2002:i:3:p:495-506
    DOI: 10.1016/S0378-4371(01)00572-6
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    References listed on IDEAS

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    1. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
    2. Walter Fontana & Peter Schuster, 1998. "Continuity in Evolution: On the Nature of Transition," Working Papers 98-04-030, Santa Fe Institute.
    3. Eric van Nimwegen & James P. Crutchfield & Martijn Huynen, 1999. "Neutral Evolution of Mutational Robustness," Working Papers 99-03-021, Santa Fe Institute.
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    Cited by:

    1. Campos, Paulo R.A. & de Oliveira, Viviane M. & Rosas, Alexandre, 2010. "Epistasis and environmental heterogeneity in the speciation process," Ecological Modelling, Elsevier, vol. 221(21), pages 2546-2554.
    2. Cirne, Diego & Campos, Paulo R.A., 2022. "A study about the evolutionary dynamics and repeatability in time-varying fitness landscapes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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