The predominance of quarter‐power scaling in biology
Abstract
1 Recent studies have resurrected the debate over the value for the allometric scaling exponent that relates whole-organism metabolic rate to body size. Is it 3/4 or 2/3? This question has been raised before and resolved in favour of 3/4. Like previous ones, recent claims for a value of 2/3 are based almost entirely on basal metabolic rate (BMR) in mammals. 2 Here we compile and analyse a new, larger data set for mammalian BMR. We show that interspecific variation in BMR, as well as field metabolic rates of mammals, and basal or standard metabolic rates for many other organisms, including vertebrates, invertebrates, protists and plants, all scale with exponents whose confidence intervals include 3/4 and exclude 2/3. Our analysis of maximal metabolic rate gives a slope that is greater than and confidence intervals that exclude both 3/4 and 2/3. 3 Additionally, numerous other physiological rates that are closely tied to metabolism in a wide variety of organisms, including heart and respiratory rates in mammals, scale as M−1/4. 4 The fact that quarter-power allometric scaling is so pervasive in biology suggests that different allometric relations have a common, mechanistic origin and provides an empirical basis for theoretical models that derive these scaling exponents.
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Relaxation of the requirements for estimation of BMR to include species that may not be postabsorptive (thermoneutral RMR or RMR_t) results in an increase of the scaling exponent to 0.712±0.013.
“Relaxation of the requirements for estimation of BMR to include species that may not be postabsorptive (thermoneutral RMR or RMR t : Speakman et al., 2003) results in an increase of the scaling exponent to 0.712±0.013(recalculated from Savage et al., 2004).”
From Allometric scaling of mammalian metabolism (2005) · cites this paper as Savage et al., 2004
MMR_e scales with an exponent greater than RMR_pp, FMR, RMR_t, BMR, and SMR.
“MMR e (b=0.87±0.05;Fig. •6A) scales with an exponent greater than RMR pp (b=0.75±0.03;Fig. •3), FMR (b=0.73±0.04;Nagy et al., 1999), RMR t (b=0.712±0.013;Savage et al., 2004), BMR (b=0.686±0.014;Fig. •4) and SMR (b=0.675±0.013;Fig. •5).”
From Allometric scaling of mammalian metabolism (2005) · cites this paper as Savage et al., 2004
RMR_t scales with exponent 0.712±0.013.
“RMR t (b=0.712±0.013;Savage et al., 2004)”
From Allometric scaling of mammalian metabolism (2005) · cites this paper as Savage et al., 2004
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- Authors
- Savage, V. M., Gillooly, J. F., Woodruff, W. H., West, G. B., Allen, A. P., Enquist, B. J., & Brown, J. H.
- Affiliations
- Santa Fe Institute (US)
- University of New Mexico (US)
- University of Arizona (US)
- Venue
- Functional Ecology
- Publisher
- Wiley
- Published
- 2004-04
- Volume
- 18
- Issue
- 2
- Pages
- 257-282
- ISSN
- 0269-8463 (ISSN-L)
- 1365-2435
- OpenAlex
- W2031770486
- Cited by
- 713
- References
- 5
- Citations by year
- 2026: 21 · 2025: 14 · 2024: 31 · 2023: 31 · 2022: 32 · 2021: 27 · 2020: 26 · 2019: 19 · 2018: 24 · 2017: 28 · 2016: 50 · 2015: 27 · 2014: 32 · 2013: 32 · 2012: 40
- FWCI
- 36.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Functional Ecology (publishedVersion)
- Topics
- Physical Sciences › Environmental Science › Ecology › Physiological and biochemical adaptations
- Physical Sciences › Earth and Planetary Sciences › Paleontology › Evolution and Paleontology Studies
- Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
- Keywords
- allometric scaling, metabolic rate, basal metabolic rate, field metabolic rate, maximal metabolic rate, scaling exponents, interspecific variation, heart rate, respiratory rate, body size, mammals, vertebrates, invertebrates, protists, plants
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