A General Model for the Origin of Allometric Scaling Laws in Biology.¶
West, G. B., Brown, J. H., & Enquist, B. J. (1997). A General Model for the Origin of Allometric Scaling Laws in Biology. Science, 276(5309), 122-126.
Cited by¶
5 citations across 5 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Allometry and Scaling Law
- Identifying the exponent allows prediction and cross-domain transfer of design principles, as West, Brown, and Enquist (1997) demonstrated in their general model deriving allometric exponents from network geometry.
This sourceDerives biological scaling exponents (including the 3/4 metabolic law) from space-filling fractal transport networks under energy minimization, mechanistically explaining why large organisms require hierarchical distribution networks.
Supported in partVerified against the publisher's abstract
The abstract states the 3/4 metabolic law and other allometric exponents are derived from a general model of space-filling fractal transport networks, and that the model predicts properties across vertebrate, plant and insect systems.
“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. [...] More generally, the model predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular …”
- Identifying the exponent allows prediction and cross-domain transfer of design principles, as West, Brown, and Enquist (1997) demonstrated in their general model deriving allometric exponents from network geometry.
- Asymptotic Behavior
- Mathematical analysis — limits, asymptotic series, dominated convergence, and the formal apparatus of approximation in the limit. Analysis of procedures — growth classes that ignore constant factors and lower-order terms to classify how cost scales with problem size. Physics — large-system limits, far-field approximations, and short-wavelength limits that retain only the dominant contribution. Economics — long-run equilibrium and steady-state analysis; average versus fixed cost as quantity grows. Biology and epidemiology — stable population growth modes, the growth-or-decay threshold in the resource-rich limit, and allometric scaling laws.
This sourceDerives empirical power-law (allometric) scaling relations between biological quantities — one possible growth class.
Supported in partVerified against the publisher's abstract
Abstract confirms allometric scaling relations are power laws (3/4 law) characteristic of organisms, but frames them as derived from a model, not purely empirical.
“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.”
- Mathematical analysis — limits, asymptotic series, dominated convergence, and the formal apparatus of approximation in the limit. Analysis of procedures — growth classes that ignore constant factors and lower-order terms to classify how cost scales with problem size. Physics — large-system limits, far-field approximations, and short-wavelength limits that retain only the dominant contribution. Economics — long-run equilibrium and steady-state analysis; average versus fixed cost as quantity grows. Biology and epidemiology — stable population growth modes, the growth-or-decay threshold in the resource-rich limit, and allometric scaling laws.
- Fractal Geometry
- Scientific use: the role the fractal description plays in the analysis is named — texture classification (mammographic-tissue diagnosis, satellite-imagery land-use), allometric prediction (basal metabolic rate from body mass via the West-Brown-Enquist (1997) 3/4-power law
This sourceDerives allometric exponents (including the 3/4 metabolic law) from space-filling fractal transport networks under energy minimization.
Supported in partVerified against the publisher's abstract
The abstract derives the 3/4 metabolic power law from space-filling fractal transport networks, backing the allometric half of the claim; it says nothing about texture classification (mammography, land-use).
“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.”
- Scientific use: the role the fractal description plays in the analysis is named — texture classification (mammographic-tissue diagnosis, satellite-imagery land-use), allometric prediction (basal metabolic rate from body mass via the West-Brown-Enquist (1997) 3/4-power law
- Scale
- … group formalized the passage from microscopic to macroscopic physics as a systematic flow in the space of effective theories; Kolmogorov's 1941 turbulence theory identified the cascade of energy across length scales as the key to describing fully-developed turbulence; West-Brown-Enquist's 1997 allometric scaling
This sourceDerivation of biological scaling exponents (including the 3/4 metabolic law) from space-filling fractal transport networks, mechanistically explaining why small organisms can rely on diffusion while large organisms require hierarchical circulatory and respiratory systems.
- … group formalized the passage from microscopic to macroscopic physics as a systematic flow in the space of effective theories; Kolmogorov's 1941 turbulence theory identified the cascade of energy across length scales as the key to describing fully-developed turbulence; West-Brown-Enquist's 1997 allometric scaling
- Scaling and Scale Dependence
- At larger body scales, surface-area-to-volume ratios change, shifting which constraints bind, as West, Brown, and Enquist (1997) showed by deriving the underlying transport-network mechanics from first principles.
This sourceDerivation of biological scaling exponents (including the 3/4 metabolic law) from space-filling fractal transport networks, mechanistically explaining why small organisms can rely on diffusion while large organisms require hierarchical circulatory and respiratory systems.
Supported in partVerified against the publisher's abstract
The abstract supports deriving scaling laws from fractal transport-network mechanics, but it does not mention surface-area-to-volume ratios or a shift in binding constraints.
“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.”
- At larger body scales, surface-area-to-volume ratios change, shifting which constraints bind, as West, Brown, and Enquist (1997) showed by deriving the underlying transport-network mechanics from first principles.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 4 of 5 citations: 4 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
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