Scaling relations in food webs.
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2006
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In the last three decades, researchers have tried to identify universal patterns in the structure of food webs. It was recently proposed that the exponent _ characterizing the efficiency of the transport of energy in large and small food webs might have a universal value __ =1.13_. In this work we establish lower and upper bounds for this exponent in a general spanning tree with a fixed number of trophic species and levels. When the number of species is large, the lower and upper bounds are equal to 1, implying that the result _ =1.13 is due to finite-size effects and that the value of this exponent depends on the size of the web. We also evaluate analytically and numerically the exponent _ for hierarchical and random networks. In all cases the exponent _ depends on the number of trophic species K, and when K is large we have that _→1. Moreover, this result holds for any fixed number M of trophic levels.
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BABOSA, L. A.; SILVA, A. V. C. de C. e; SILVA, J. K. L. da. Scaling relations in food webs. Physical Review E, v. 73, n.4, p.5, abr. 2006. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevE.73.041903. Acesso em: 19 jun. 2012.