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Random Field Models for Fitness Landscapes

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  • Peter F. Stadler
  • Robert Happel

Abstract

In many cases fitness landscapes are obtained as particular instances of random fields by assigning a large number of random parameters. Models of this type are often characterized reasonably well by their covariance matrices. We characterize isotropic random fields on finite graphs in terms of their Fourier series expansions and investigate the relation between the covariance matrix of the random field model and the correlation structure of the individual landscapes constructed from this random field. Our formalism suggests to approximate landscape with known autocorrelation function by a random field model that has the same correlation structure.

Suggested Citation

  • Peter F. Stadler & Robert Happel, 1995. "Random Field Models for Fitness Landscapes," Working Papers 95-07-069, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:95-07-069
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    References listed on IDEAS

    as
    1. Peter F. Stadler, 1995. "Landscapes and Their Correlation Functions," Working Papers 95-07-067, Santa Fe Institute.
    2. Terry Jones, 1995. "Evolutionary Algorithms, Fitness Landscapes and Search," Working Papers 95-05-048, Santa Fe Institute.
    3. Robert Happel & Peter F. Stadler, 1995. "Canonical Approximation of Fitness Landscapes," Working Papers 95-07-068, Santa Fe Institute.
    4. Edward D. Weinberger, 1996. "NP Completeness of Kauffman's N-k Model, A Tuneable Rugged Fitness Landscape," Working Papers 96-02-003, Santa Fe Institute.
    5. Peter F. Stadler & Robert Happel, 1994. "Canonical Approximation of Landscapes," Working Papers 94-09-051, Santa Fe Institute.
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    Cited by:

    1. Auerswald, Philip & Kauffman, Stuart & Lobo, Jose & Shell, Karl, 2000. "The production recipes approach to modeling technological innovation: An application to learning by doing," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 389-450, March.
    2. Kauffman, Stuart & Lobo, Jose & Macready, William G., 2000. "Optimal search on a technology landscape," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 141-166, October.
    3. Subbiah Baskaran & Peter F. Stadler & Peter Schuster, 1995. "Approximate Scaling Properties of RNA Free Energy Landscapes," Working Papers 95-10-083, Santa Fe Institute.
    4. Stuart Kauffman & Jose Lobo & William G. Macready, 1998. "Optimal Search on a Technology Landscape," Research in Economics 98-10-091e, Santa Fe Institute.
    5. Philip Auerswald, 2008. "Entrepreneurship in the Theory of the Firm," Small Business Economics, Springer, vol. 30(2), pages 111-126, February.
    6. Peter F. Stadler & Barbel Krakhofer, 1995. "Local Minima of p-Spin Models," Working Papers 95-09-076, Santa Fe Institute.

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