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A Simple Model of Large Scale Organization in Evolution

Author

Listed:
  • S. C. Manrubia

    (CSRG, Departament de Física i Enginyeria Nuclear, UPC c/ Sor Eulàlia d'Anzizu s/n Campus Nord, B4-B5. 08034 Barcelona, Spain)

  • M. Paczuski

    (Department of Physics, Brookhaven National Laboratory, Upton, NY 11973, USA;
    Department of Physics, University of Houston, Houston TX 77204-55063, USA)

Abstract

A mathematical model of interacting species filling ecological niches left by the extinction of others is introduced. Species organize themselves into genera of all sizes. The size of a genus on average grows linearly with its age, confirming a general relation between Age and Area proposed by Willis. The ecology exhibits punctuated equilibrium. Analytic and numerical results show that the probability distribution of genera sizes, genera lifetimes, and extinction event sizes are the same power lawP(x)~ 1/x2, consistent with paleontological data.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:07:n:s0129183198000960
    DOI: 10.1142/S0129183198000960
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    Cited by:

    1. 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.

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