The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms

1999/06/04 by Geoffrey B. West, James H. Brown, Brian J. Enquist · 1 voice · 19 citations
Biochemistry, Genetics and Molecular Biology · Environmental Science · #Insect and Arachnid Ecology and Behavior #Physiological and biochemical adaptations #Plant Water Relations and Carbon Dynamics

paper · doi:10.1126/science.284.5420.1677

openalex publication_date 1999/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Fractal-like networks effectively endow life with an additional fourth spatial dimension. This is the origin of quarter-power scaling that is so pervasive in biology. Organisms have evolved hierarchical branching networks that terminate in size-invariant units, such as capillaries, leaves, mitochondria, and oxidase molecules. Natural selection has tended to maximize both metabolic capacity, by maximizing the scaling of exchange surface areas, and internal efficiency, by minimizing the scaling of transport distances and times. These design principles are independent of detailed dynamics and explicit models and should apply to virtually all organisms.

Citations

• The Fractal Geometry of Nature

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Discussions

• Starting with the old saw, spherical cows in a vacuum, radiative emission can be understood as proportional to the solid angle as seen from a point on the surface of that sphere, i.e., the hemisphere [stackexchange, 0 points]