eprintid: 1182 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/11/82 datestamp: 2012-02-27 08:44:42 lastmod: 2014-12-05 09:47:55 status_changed: 2012-02-27 08:44:42 type: article metadata_visibility: show creators_name: Caldarelli, Guido creators_name: Tebaldi, Claudio creators_name: Stella, Attilio creators_id: guido.caldarelli@imtlucca.it creators_id: creators_id: title: Branching processes and evolution at the ends of a food chain ispublished: pub subjects: QC divisions: EIC full_text_status: public keywords: PACS: 87.10.+e, 02.50.-r, 05.40.+j, 64.60.Lx note: © 1996 American Physical Society abstract: 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. date: 1996-06 date_type: published publication: Physical Review Letters volume: 76 number: 26 publisher: American Physical Society pagerange: 4983-4986 id_number: 10.1103/PhysRevLett.76.4983 refereed: TRUE issn: 0031-9007 official_url: http://dx.doi.org/10.1103/PhysRevLett.76.4983 related_url_url: http://arxiv.org/abs/cond-mat/9605022 citation: 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) document_url: http://eprints.imtlucca.it/1182/1/PRL_Caldarelli_1996.pdf