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A Measure of Landscapes

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  • Wim Hordijk

Abstract

The structure of a fitness landscape is still an ill-defined concept. This paper introduces a statistical fitness landscape analysis, that can be used on a multitude of fitness landscapes. The result of this analysis is a statistical model that, together with some statistics denoting the explanatory and predictive value of this model, can serve as a measure for the structure of the landscape. The analysis is based on a statistical time series analysis known as the Box-Jenkins approach, that, among others, estimates the autocorrelations of a time series fitness values generated by a random walk on the landscape. From these estimates, a correlation of length for the landscape can be derived.

Suggested Citation

  • Wim Hordijk, 1995. "A Measure of Landscapes," Working Papers 95-05-049, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:95-05-049
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    1. Terry Jones, 1995. "Evolutionary Algorithms, Fitness Landscapes and Search," Working Papers 95-05-048, Santa Fe Institute.
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    Cited by:

    1. Subbiah Baskaran & Peter F. Stadler & Peter Schuster, 1995. "Approximate Scaling Properties of RNA Free Energy Landscapes," Working Papers 95-10-083, Santa Fe Institute.
    2. Hend Bouziri & Khaled Mellouli & El-Ghazali Talbi, 2011. "The k-coloring fitness landscape," Journal of Combinatorial Optimization, Springer, vol. 21(3), pages 306-329, April.
    3. Gunter P. Wagner & Peter F. Stadler, 1997. "Complex Adaptations and the Structure of Recombination Spaces," Working Papers 97-03-029, Santa Fe Institute.
    4. Peter F. Stadler & Gunjter P. Wagner, 1996. "The Algebraic Theory of Recombination Spaces," Working Papers 96-07-046, Santa Fe Institute.

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