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Amplitude Spectra of Fitness Landscapes

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Abstract

Fitness landscapes can be decomposed into elementary landscapes using a Fourier transform that is determined by the structure of the underlying configuration space. The amplitude spectrum obtained from the Fourier transform contains information about the ruggedness of the landscape. It can be used for classification and comparison purposes. We consider here three very different types of landscapes using both mutation and recombination to define the topological structure of the configuration spaces. A reliable procedure for estimating the amplitude spectra is presented. The method is based on certain correlation functions that are easily obtained from empirical studies of the landscapes.

Suggested Citation

  • Wim Hordijk & Peter F. Stadler, 1998. "Amplitude Spectra of Fitness Landscapes," Working Papers 98-02-021, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:98-02-021
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    Cited by:

    1. Dan Rockmore & Peter Kostelec & Wim Hordijk & Peter F. Stadler, 1999. "Fast Fourier Transform for Fitness Landscapes," Working Papers 99-10-068, Santa Fe Institute.
    2. Oliver Bastert & Dan Rockmore & Peter F. Stadler & Gottfried Tinhofer, 2001. "Landscapes on Spaces of Trees," Working Papers 01-01-006, Santa Fe Institute.
    3. Koutras, M. V. & Tsitmidelis, S. & Zissimopoulos, V., 2003. "Evaluation of reliability bounds by set covering models," Statistics & Probability Letters, Elsevier, vol. 61(2), pages 163-175, January.

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