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Phys. Rev. Lett. 73, 906–909 (1994)

Simple Model of Self-Organized Biological Evolution

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Jan de Boer1,*, Bernard Derrida2,3,4,*, Henrik Flyvbjerg2,5,*, Andrew D. Jackson1,*, and Tilo Wettig1,*
1Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3800
2The Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB4 0EH, United Kingdom
3Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, F-75005 Paris, France
4Service de Physique Théorique, Centre de Etudes Nucléaires de Saclay, F-91191, Gif-sur-Yvette, France
5CONNECT,* The Niels Bohr Institute, Blagdamsvej 17, DK-2100 Copenhagen, Denmark

Received 25 March 1994; published in the issue dated 8 August 1994

We give an exact solution of a recently proposed self-organized critical model of biological evolution. We show that the model has a power law distribution of durations of coevolutionary "avalanches" with a mean field exponent 3/2. We also calculate analytically the finite size effects which cut off this power law at times of the order of the system size.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.906
DOI:
10.1103/PhysRevLett.73.906
PACS:
87.10.+e, 05.40.+j

*Center for Artificial Neural Networks.

 
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