Amplitude Spectra of Fitness Landscapes

Wim Hordijk () and Peter F. Stadler ()
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Wim Hordijk: Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
Peter F. Stadler: Santa Fe Institute, Institut für Theoretische Chemie, Universität Wien, Währingerstraße 17, A-1090 Wien, Austria

Advances in Complex Systems (ACS), 1998, vol. 01, issue 01, 39-66

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.

Keywords: Fitness landscapes; amplitude spectrum; Fourier transform; evolutionary processes; mutation; recombination; discrete Laplace operator (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:01:y:1998:i:01:n:s0219525998000041

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DOI: 10.1142/S0219525998000041

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