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http://www.uvm.edu/~ngotelli/manuscriptpdfs/FarrellGray&Gotelli.pdf
ALLOMETRIC EXPONENTS SUPPORT A 3/4-POWER SCALING LAW CATHERINE C. FARRELL-GRAY1 AND NICHOLAS J. GOTELLI Department of Biology, University of Vermont, Burlington, Vermont 05405 USA Abstract. The relationship between metabolic rate and body mass follows a power function: B } mb where B is the basal metabolic rate, m is the species mass, and b is the
https://esajournals.onlinelibrary.wiley.com/doi/pdf/10.1890/04-1618
Older models based on a consideration of surface to volume ratios predict an exponent b = 2/3, whereas more recent models based on efficient transport and fractal design predict an exponent b = 3/4. We analyzed 22 published allometric exponents to address the following questions: (1) Is the published allometric exponent correlated with number ...Cited by: 89
https://www.researchgate.net/publication/216811227_Allometric_exponents_support_A_34-power_scaling_law
First, with respect to function, there is broad support for the predicted 3/4- power scaling of individual metabolic rate for unicells, plants, and a variety of animal taxa (Niklas and Enquist ...
https://www.ncbi.nlm.nih.gov/pubmed/17479750
The debate about the value of the allometric scaling exponent (b) relating metabolic rate to body mass (metabolic rate = a x mass(b)) is ongoing, with published evidence both for and against a 3/4-power scaling law continuing to accumulate.Cited by: 198
https://core.ac.uk/download/pdf/15059821.pdf
The debate about the value of the allometric scaling exponent (b) relating metabolic rate to body mass (metabolic rate¼a3massb) is ongoing, with published evidence both for and against a 3/4-power scaling law continuing to accumulate. However, this debate often revolves around a dichotomous distinction between the 3/4-power exponent predicted by
http://www.uvm.edu/~ngotelli/Allometry%20seminar.ppt
Allometric exponents support a 3/4 power scaling law Catherine C. Farrell Nicholas J. Gotelli Department of Biology University of Vermont Burlington, VT 05405 Allometric Scaling What is the relationship metabolic rate (Y) and body mass (M)? Allometric Scaling What is the relationship metabolic rate (Y) and body mass (M)?
https://jeb.biologists.org/content/208/9/1575
May 01, 2005 · This simple 3/4 power scaling has now been observed at intracellular levels from isolated mammalian cells ... is crucial for deriving power laws, including the 3/4 exponent for metabolic ... the scaling of these many other attributes contributes to a synthetic body of evidence providing overwhelming support for quarter-power allometric scaling ...Cited by: 762
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3349030/
INTRODUCTION. For scaling pharmacokinetics across the human life-span, the 3/4 allometric scaling approach has gained in popularity in the field of pediatrics.While the 3/4 allometric scaling approach was originally designed to describe metabolic rates between different species covering a wide range in bodyweight (), this function is now being applied to parameterize the influence of changes ...Cited by: 82
https://science.sciencemag.org/content/276/5309/122.full
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 ...
https://arxiv.org/abs/1509.08912
Sep 29, 2015 · A central debate in biology has been the allometric scaling of metabolic rate. Kleiber's observation that animals' basal metabolic rate scales to the 3/4-power of body mass (Kleiber's rule) has been the prevailing hypothesis in the last eight decades. Increasingly, more evidences are supporting the alternative 2/3-power scaling rule, especially for smaller animals. The 2/3-rule dates back to ...
https://core.ac.uk/display/12785604
Abstract. The debate about the value of the allometric scaling exponent (b) relating metabolic rate to body mass (metabolic rate = a X mass^) is ongoing, with published evidence both for and against a 3/4-power scaling law continuing to accumulate.
https://jeb.biologists.org/content/214/7/1055
During the 13 years since it was first advanced, the fractal network theory (FNT), an analytic theory of allometric scaling, has been subjected to a wide range of methodological, mathematical and empirical criticisms, not all of which have been answered satisfactorily. ... Allometric exponents support a 3/4-power scaling law.
http://esapubs.org/archive/ecol/E086/109/appendix-A.htm
Ecological Archives E086-109-A1 Catherine C. Farrell-Gray and Nicholas J. Gotelli. 2005. Allometric exponents support a 3/4-power scaling law. Ecology 86:2083–2087. Appendix A (Table A1). A summary of data used in meta-analysis. See Notes at end of table for details.
https://www.sciencedirect.com/science/article/pii/S002251930700327X
Nov 07, 2007 · Uncertainty in allometric exponent estimation: A case study in scaling metabolic rate with body mass ... With this intercept added, the estimate of allometric scaling exponent could be more deviated from 2/3 or 3/4. 4.3. Influence of analysis method ... N.J. GotelliAllometric exponents support a 3/4—power scaling law. Ecology, 86 (2005), pp ...
https://onlinelibrary.wiley.com/doi/full/10.1017/S1464793105006834
In this review I show that the ‘3/4‐power scaling law’ of metabolic rate is not universal, either within or among animal species. Significant variation in the scaling of metabolic rate with body mass is described mainly for animals, but also for unicells and plants.
https://www.ncbi.nlm.nih.gov/pubmed/16221332
In this review I show that the '3/4-power scaling law' of metabolic rate is not universal, either within or among animal species. Significant variation in the scaling of metabolic rate with body mass is described mainly for animals, but also for unicells and plants. Much of this variation, which can ...
https://www.researchgate.net/publication/6350312_Allometric_exponents_do_not_support_a_universal_metabolic_allometry
The debate about the value of the allometric scaling exponent (b) relating metabolic rate to body mass (metabolic rate = a x mass(b)) is ongoing, with published evidence both for and against a 3/4 ...
https://en.wikipedia.org/wiki/Kleiber%27s_law
Kleiber's law, as many other biological allometric laws, is a consequence of the physics and/or geometry of animal circulatory systems. Max Kleiber first discovered the law when analyzing a large number of independent studies on respiration within individual species. Kleiber expected to find an exponent of 2 ⁄ 3 (for reasons explained below), and was confounded by the exponent of 3 ⁄ 4 he ...
https://science.sciencemag.org/content/278/5337/369.4
In their report “A general model for the origin of allometric scaling laws in biology” (4 Apr., p. 122), Geoffrey B. West et al. explore the ubiquity of quarter-power scaling relationships in biology.They propose that a common mechanism underlies these laws: Living things are sustained by the transport of materials through linear networks that branch to supply all parts of the organism.
https://www.pnas.org/content/107/4/1447
Jan 26, 2010 · Our measurements include the roots, which have often been ignored. Rather than a single power-law relationship, our data are fit by a biphasic, mixed-power function. The allometric exponent varies continuously from 1 in the smallest plants to 3/4 in larger saplings and trees.
https://www.nature.com/articles/srep42113
Quarter power scaling is widely considered a universal law of biology and it is generally accepted that were in-vitro cultures to obey allometric metabolic scaling, they would have more predictive ...
https://fontana.hms.harvard.edu/sites/fontana.hms.harvard.edu/files/documents/jtb.mackay.pdf
Allometric exponents support a 3/4-power scaling law. Ecology 86, 2083–2087. Feldman, H.A., McMahon, T.A., 1983. The 3/4 mass exponent for energy metabo-lism is not a statistical artifact. Respiration Physiology 52, 149–163. ... allometric scaling laws in biology. Science 276, 122–126.
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