Branching Processes and Evolution at the Ends of a Food Chain

Details Branching Processes and Evolution at the Ends of a Food Chain Branching Processes and Evolution at the Ends of a Food Chain

1996-05-03

arxiv.org/abs/cond-mat/9605022v1

Physics

Condensed Matter

REVTex file, 12 pages, 2 figures in eps-files uuencoded, psfig.sty

Scientific paper

10.1103/PhysRevLett.76.4983

In a critically self--organized model of punctuated equilibrium, boundaries determine peculiar scaling of the size distribution of evolutionary avalanches. This is derived by an inhomogeneous generalization of standard branching processes, extending previous mean field descriptions and yielding $\nu=1/2$ together with $\tau'=7/4$, as distribution exponent of avalanches starting from species at the ends of a food chain. For the nearest neighbor chain one obtains numerically $\tau'=1.25 \pm 0.01$, and $\tau'_{first}=1.35 \pm 0.01$ for the first return times of activity, again distinct from bulk exponents.

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