eprintid: 1133 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/11/33 datestamp: 2012-02-20 13:38:39 lastmod: 2018-03-08 17:08:41 status_changed: 2012-02-20 13:38:39 type: book_section metadata_visibility: show creators_name: Caldarelli, Guido creators_name: Garlaschelli, Diego creators_name: Pietronero, Luciano creators_id: guido.caldarelli@imtlucca.it creators_id: diego.garlaschelli@imtlucca.it creators_id: title: Food web structure and the evolution of complex networks ispublished: pub subjects: QA75 subjects: QC divisions: EIC full_text_status: none abstract: In addition to traditional properties such as the degree distribution P(k), in this work we propose two other useful quantities that can help in characterizing the topology of food webs quantitatively, namely the allometric scaling relations C(A) and the branch size distribution P(A) which are defined on the spanning tree of the webs. These quantities, whose use has proved relevant in characterizing other different networks appearing in nature (such as river basins, Internet, and vascular systems), are related (in the context of food webs) to the efficiency in the resource transfer and to the stability against species removal. We present the analysis of the data for both real food webs and numerical simulations of a growing network model. Our results allow us to conclude that real food webs display a high degree of both efficiency and stability due to the evolving character of their topology. date: 2003 series: Lecture Notes in Physics number: 625 publisher: Springer-Verlag pagerange: 148-166 id_number: 10.1007/978-3-540-44943-0_9 refereed: TRUE isbn: 978-3-540-40372-2 issn: 0075-8450 book_title: Statistical Mechanics of Complex Networks editors_name: Pastor-Satorras, Romualdo editors_name: Rubi, Miguel editors_name: Díaz-Guilera, Albert official_url: http://dx.doi.org/10.1007/978-3-540-44943-0_9 citation: Caldarelli, Guido and Garlaschelli, Diego and Pietronero, Luciano Food web structure and the evolution of complex networks. In: Statistical Mechanics of Complex Networks. Lecture Notes in Physics (625). Springer-Verlag, pp. 148-166. ISBN 978-3-540-40372-2 (2003)