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Science 4 April 1997:
Vol. 276. no. 5309, pp. 122 - 126
DOI: 10.1126/science.276.5309.122
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Reports

A General Model for the Origin of Allometric Scaling Laws in Biology

Geofv B. West, James H. Brown, * Brian J. Enquist

Allometric scaling relations, including the 3/4 power law for metabolic rates, are characteristic of all organisms and are here derived from a general model that describes how essential materials are transported through space-filling fractal networks of branching tubes. The model assumes that the energy dissipated is minimized and that the terminal tubes do not vary with body size. It provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data. More generally, the model predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.

G. B. West, Theoretical Division, T-8, Mail Stop B285, Los Alamos National Laboratory, Los Alamos, NM 87545, and The Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA.
J. H. Brown and B. J. Enquist, Department of Biology, University of New Mexico, Albuquerque, NM 87131, and The Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA.
*   To whom correspondence should be addressed. E-mail: jhbrown{at}unm.edu

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