Mean field theory for a simple model of evolution
- 13 December 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (24), 4087-4090
- https://doi.org/10.1103/physrevlett.71.4087
Abstract
A simple dynamical model for Darwinian evolution on its slowest time scale is analyzed. Its mean field theory is formulated and solved. A random neighbor version of the model is simulated, as is a one-dimensional version. In one dimension, the dynamics can be described in terms of a ‘‘repetitious random walker’’ and anomalous diffusion with exponent 0.4. In all cases the model self-organizes to a robust critical attractor.Keywords
This publication has 16 references indexed in Scilit:
- Colored activity in self-organized critical interface dynamicsPhysical Review Letters, 1993
- Sneppen and Jensen replyPhysical Review Letters, 1993
- Self-organized pinning and interface growth in a random mediumPhysical Review Letters, 1992
- Evolution in a rugged fitness landscapePhysical Review A, 1992
- Coevolution in a rugged fitness landscapePhysical Review A, 1992
- A statistical model of an evolving population with sexual reproductionJournal of Physics A: General Physics, 1991
- Self-organized criticalityPhysical Review A, 1988
- Punctuated equilibrium prevailsNature, 1988
- Comment on ‘‘Diffusion in a random potential: Hopping as a dynamical consequence of localization’’Physical Review Letters, 1987
- Character Change, Speciation, and the Higher TaxaEvolution, 1982