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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.

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    Bibliographic Info

    Paper provided by Santa Fe Institute in its series Working Papers with number 98-02-021.

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    Date of creation: Feb 1998
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    Handle: RePEc:wop:safiwp:98-02-021

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    Related research

    Keywords: Fitness landscapes; amplitude spectrum; Fourier transform; evolutionary processes; mutation; recombination; discrete Laplace operator.;

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    Cited by:
    1. 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.
    2. Oliver Bastert & Dan Rockmore & Peter F. Stadler & Gottfried Tinhofer, 2001. "Landscapes on Spaces of Trees," Working Papers 01-01-006, Santa Fe Institute.

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