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Long-Range Correlations in the Fossil Record and the Fractal Nature of Macroevolution

Author

Listed:
  • Ricard V. Sole
  • Susanna C. Manrubia
  • Juan Perez-Mercader
  • Michael Benton
  • Per Bak

Abstract

Recent studies on the fossil record time series has shown that there is consistent evidence for self-similarity i.e., long-range correlations with power-law behavior. The existence of such fractal structures means that, when looking at a given time frame, some basic properties remain the same if a change of scale is performed. To sum up: there is no characteristic time scale, as we could expect if some type of periodic or other low-dimensional dynamics were present. A possible explanation for such long-range order is a dynamical process operating at all scales, as it is the case for systems in the neighborhood of critical points. In this paper these results are further explored by extending previous data analysis and examining the relevance of recent theoretical approaches to the statistical features of the fossil record. Submitted to Proc. Roy. Soc. London B.

Suggested Citation

  • Ricard V. Sole & Susanna C. Manrubia & Juan Perez-Mercader & Michael Benton & Per Bak, 1998. "Long-Range Correlations in the Fossil Record and the Fractal Nature of Macroevolution," Working Papers 98-11-096, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:98-11-096
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    References listed on IDEAS

    as
    1. James W. Kirchner & Anne Weil, 1998. "No fractals in fossil extinction statistics," Nature, Nature, vol. 395(6700), pages 337-338, September.
    2. S. C. Manrubia & M. Paczuski, 1998. "A Simple Model of Large Scale Organization in Evolution," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(07), pages 1025-1032.
    3. M. E. J. Newman & Gunther J. Eble, 1998. "Decline in Extinction Rates and Scale Invariance in the Fossil Record," Working Papers 98-09-081, Santa Fe Institute.
    4. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
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