Simple model of self-organized biological evolution

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 whi...

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Bibliographic Details
Published in:Physical review letters 1994-08, Vol.73 (6), p.906-909
Main Authors: de Boer J, Derrida, B, Flyvbjerg, H, Jackson, AD, Wettig, T
Format: Article
Language:English
Subjects:
990200 - Mathematics & Computers
BIOLOGICAL EVOLUTION
CORRELATION FUNCTIONS
EQUATIONS
FUNCTIONS
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
LIFE CYCLE
MEAN-FIELD THEORY
NEURAL NETWORKS
ORGANIZATIONAL MODELS
Physics
SHAPE
SIZE
STEADY-STATE CONDITIONS
TIME DEPENDENCE
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.73.906