TY - CHAP ED - Pastor-Satorras, Romualdo ED - Rubi, Miguel ED - Díaz-Guilera, Albert Y1 - 2003/// T3 - Lecture Notes in Physics A1 - Caldarelli, Guido A1 - Garlaschelli, Diego A1 - Pietronero, Luciano N2 - 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. TI - Food web structure and the evolution of complex networks ID - eprints1133 EP - 166 UR - http://dx.doi.org/10.1007/978-3-540-44943-0_9 PB - Springer-Verlag SN - 0075-8450 AV - none SP - 148 T2 - Statistical Mechanics of Complex Networks ER -