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Rivers, blood and transportation networks

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  • Peter K. Haff

    (Nicholas School of the Environment, Duke University)

Abstract

The long-standing problem of explaining metabolic scaling2 in animals, whereby whole-animal metabolic rate B is observed to increase as a function of body mass M approximately as M3/4, has been recently revisited by Banavar et al.1 (see also ref. 3, in which allometric scaling rules are derived from fractal geometry). These authors1 derive and generalize to non-biological systems, including river networks, a three-quarter-power 'allometric' scaling rule, which arises, in their treatment, from an assumption of the efficiency of the resource distribution network. Here I present a simple derivation of 3/4-power scaling based on the geometric requirements of inventorying resources before metabolization, which does not support the notion of allometric scaling suggested by Banavar et al.1 for rivers, at least not when applied to the problem of fluvial sediment transport. Although some distributary systems 'metabolize' according to the 3/4-power rule, this rule is not golden — each system needs to be investigated on its own merits.

Suggested Citation

  • Peter K. Haff, 2000. "Rivers, blood and transportation networks," Nature, Nature, vol. 408(6809), pages 159-160, November.
    • Handle: RePEc:nat:nature:v:408:y:2000:i:6809:d:10.1038_35041633
    DOI: 10.1038/35041633
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    Cited by:

    1. Zachary P Neal, 2018. "The urban metabolism of airline passengers: Scaling and sustainability," Urban Studies, Urban Studies Journal Limited, vol. 55(1), pages 212-225, January.
    2. Linesch, Nicholas J. & D’Souza, Raissa M., 2008. "Periodic states, local effects and coexistence in the BML traffic jam model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6170-6176.

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