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Neutrality in Fitness Landscapes

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  • Christian M. Reidys
  • Peter F. Stadler

Abstract

The interplay of ruggedness and neutrality in fitness landscapes plays an important role in explaining the dynamics of evolutionary adaptation. While various measures of ruggedness (correlation functions, adaptive walks, or the density of local optima) are reasonably well understood, and models for constructing landscapes with a desired degree of ruggedness are readily available, very little is known about neutrality. We introduce the notion of additive random landscapes as a framework for tuning both neutrality and ruggedness at once, and we develop a formalism that allows the explicit computation of the most salient parameters that are associated with neutrality in landscapes of this type. Submitted to Appl. Math. & Comput..

Suggested Citation

  • Christian M. Reidys & Peter F. Stadler, 1998. "Neutrality in Fitness Landscapes," Working Papers 98-10-089, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:98-10-089
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    References listed on IDEAS

    as
    1. Rajarshi Das & James P. Crutchfield & Melanie Mitchell & James E. Hanson, 1995. "Evolving Globally Synchronized Cellular Automata," Working Papers 95-01-005, Santa Fe Institute.
    2. Terry Jones, 1995. "Evolutionary Algorithms, Fitness Landscapes and Search," Working Papers 95-05-048, Santa Fe Institute.
    3. W. Fontana & P. Schuster, 1998. "Shaping Space: The Possible and the Attainable in RNA Genotype-Phenotype Mapping," Working Papers ir98004, International Institute for Applied Systems Analysis.
    4. Christian Reidys & Christian V. Forst & Peter Schuster, 1998. "Replication and Mutation on Neutral Networks," Working Papers 98-04-036, Santa Fe Institute.
    5. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
    6. Wim Hordijk, 1997. "Correlation Analysis of the Synchronizing-CA Landscape," Working Papers 97-01-005, Santa Fe Institute.
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