Criticality in Simple Models of Evolution

Details Criticality in Simple Models of Evolution Criticality in Simple Models of Evolution

1994-09-16

arxiv.org/abs/cond-mat/9409074v1

Physics

Condensed Matter

RevTeX, 21 pages + 4 postscript figures (appended as .tar.gz.uu file) preprint numbers SUNY-NTG-94-45, ITP-SB-94-32

Scientific paper

10.1103/PhysRevE.51.1059

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests that they are qualitatively different. We demonstrate the limitations of the mean field description of these systems. We argue that a more precise definition of self-organized criticality is desirable and establish several criteria in this connection.

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