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Branching processes and evolution at the ends of a food chain

Caldarelli, Guido and Tebaldi, Claudio and Stella, Attilio Branching processes and evolution at the ends of a food chain. Physical Review Letters, 76 (26). pp. 4983-4986. ISSN 0031-9007 (1996)

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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 ν = 1/2 together with τ′ = 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 τ′ = 1.25±0.01, and τfirst′ = 1.35±0.01 for the first return times of activity, again distinct from bulk exponents.

Item Type: Article
Identification Number: 10.1103/PhysRevLett.76.4983
Additional Information: © 1996 American Physical Society
Uncontrolled Keywords: PACS: 87.10.+e, 02.50.-r, 05.40.+j, 64.60.Lx
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 27 Feb 2012 08:44
Last Modified: 05 Dec 2014 09:47
URI: http://eprints.imtlucca.it/id/eprint/1182

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