References analysis of the Wikipedia article "Kleiber's law" in the English version

doi.org

Kleiber M (October 1947). "Body size and metabolic rate". Physiological Reviews. 27 (4): 511–41. doi:10.1152/physrev.1947.27.4.511. PMID 20267758.

Kleiber M (January 1932). "Body size and metabolism". Hilgardia. 6 (11): 315–353. doi:10.3733/hilg.v06n11p315.

Enquist BJ, Brown JH, West GB (1998). "Allometric scaling of plant energetics and population density". Nature. 395 (10): 163–165. Bibcode:1998Natur.395..163E. doi:10.1038/25977.

Hulbert AJ (28 April 2014). "A Sceptics View: "Kleiber's Law" or the "3/4 Rule" is neither a Law nor a Rule but Rather an Empirical Approximation". Systems. 2 (2): 186–202. doi:10.3390/systems2020186.

West GB, Brown JH, Enquist BJ (April 1997). "A general model for the origin of allometric scaling laws in biology". Science. 276 (5309): 122–6. doi:10.1126/science.276.5309.122. PMID 9082983. S2CID 3140271.

Etienne RS, Apol ME, Olff HA (2006). "Demystifying the West, Brown & Enquist model of the allometry of metabolism". Functional Ecology. 20 (2): 394–399. Bibcode:2006FuEco..20..394E. doi:10.1111/j.1365-2435.2006.01136.x.

Painter PR, Edén P, Bengtsson HU (August 2006). "Pulsatile blood flow, shear force, energy dissipation and Murray's Law". Theoretical Biology & Medical Modelling. 3 (1): 31. doi:10.1186/1742-4682-3-31. PMC 1590016. PMID 16923189.

West GB, Brown JH, Enquist BJ (2008). "Sizing Up Allometric Scaling Theory". PLoS Comput Biol. 4 (9): e1000171. doi:10.1126/science.276.5309.122. S2CID 3140271.

Dodds PS, Rothman DH, Weitz JS (March 2001). "Re-examination of the "3/4-law" of metabolism". Journal of Theoretical Biology. 209 (1): 9–27. arXiv:physics/0007096. Bibcode:2001JThBi.209....9D. doi:10.1006/jtbi.2000.2238. PMID 11237567. S2CID 9168199.

Kolokotrones T, Deeds EJ, Fontana W (April 2010). "Curvature in metabolic scaling". Nature. 464 (7289): 753–6. Bibcode:2010Natur.464..753K. doi:10.1038/nature08920. PMID 20360740. S2CID 4374163.
But note that a quadratic curve has undesirable theoretical implications; see MacKay NJ (July 2011). "Mass scale and curvature in metabolic scaling. Comment on: T. Kolokotrones et al., curvature in metabolic scaling, Nature 464 (2010) 753-756". Journal of Theoretical Biology. 280 (1): 194–6. Bibcode:2011JThBi.280..194M. doi:10.1016/j.jtbi.2011.02.011. PMID 21335012.

Banavar JR, Moses ME, Brown JH, Damuth J, Rinaldo A, Sibly RM, Maritan A (September 2010). "A general basis for quarter-power scaling in animals". Proceedings of the National Academy of Sciences of the United States of America. 107 (36): 15816–20. Bibcode:2010PNAS..10715816B. doi:10.1073/pnas.1009974107. PMC 2936637. PMID 20724663.

Savage VM, Deeds EJ, Fontana W (September 2008). "Sizing up allometric scaling theory". PLOS Computational Biology. 4 (9): e1000171. Bibcode:2008PLSCB...4E0171S. doi:10.1371/journal.pcbi.1000171. PMC 2518954. PMID 18787686.

Apol ME, Etienne RS, Olff H (2008). "Revisiting the evolutionary origin of allometric metabolic scaling in biology". Functional Ecology. 22 (6): 1070–1080. Bibcode:2008FuEco..22.1070A. doi:10.1111/j.1365-2435.2008.01458.x.

Savage VM, Gillooly JF, Woodruff WH, West GB, Allen AP, Enquist BJ, Brown JH (April 2004). "The predominance of quarter-power scaling in biology". Functional Ecology. 18 (2): 257–282. Bibcode:2004FuEco..18..257S. doi:10.1111/j.0269-8463.2004.00856.x. The original paper by West et al. (1997), which derives a model for the mammalian arterial system, predicts that smaller mammals should show consistent deviations in the direction of higher metabolic rates than expected from

M 3 ⁄ 4

scaling. Thus, metabolic scaling relationships are predicted to show a slight curvilinearity at the smallest size range.

Ballesteros FJ, Martinez VJ, Luque B, Lacasa L, Valor E, Moya A (January 2018). "On the thermodynamic origin of metabolic scaling". Scientific Reports. 8 (1): 1448. Bibcode:2018NatSR...8.1448B. doi:10.1038/s41598-018-19853-6. PMC 5780499. PMID 29362491.

Kozlowski J, Konarzewski M (2004). "Is West, Brown and Enquist's model of allometric scaling mathematically correct and biologically relevant?". Functional Ecology. 18 (2): 283–9. Bibcode:2004FuEco..18..283K. doi:10.1111/j.0269-8463.2004.00830.x.

Brown JH, West GB, Enquist BJ (2005). "Yes, West, Brown and Enquist's model of allometric scaling is both mathematically correct and biologically relevant". Functional Ecology. 19 (4): 735–738. doi:10.1111/j.1365-2435.2005.01022.x.

Clarke A, Rothery P, Isaac NJ (May 2010). "Scaling of basal metabolic rate with body mass and temperature in mammals". The Journal of Animal Ecology. 79 (3): 610–9. Bibcode:2010JAnEc..79..610C. doi:10.1111/j.1365-2656.2010.01672.x. PMID 20180875.

Hayssen V, Lacy RC (1985). "Basal metabolic rates in mammals: taxonomic differences in the allometry of BMR and body mass". Comparative Biochemistry and Physiology. A, Comparative Physiology. 81 (4): 741–54. doi:10.1016/0300-9629(85)90904-1. PMID 2863065.

Heusner AA (1982-04-01). "Energy metabolism and body size I. Is the 0.75 mass exponent of Kleiber's equation a statistical artifact?". Respiration Physiology. 48 (1): 1–12. doi:10.1016/0034-5687(82)90046-9. ISSN 0034-5687. PMID 7111915.

White CR, Blackburn TM, Seymour RS (October 2009). "Phylogenetically informed analysis of the allometry of Mammalian Basal metabolic rate supports neither geometric nor quarter-power scaling". Evolution; International Journal of Organic Evolution. 63 (10): 2658–67. doi:10.1111/j.1558-5646.2009.00747.x. PMID 19519636. S2CID 16889020.

Sieg AE, O'Connor MP, McNair JN, Grant BW, Agosta SJ, Dunham AE (November 2009). "Mammalian metabolic allometry: do intraspecific variation, phylogeny, and regression models matter?". The American Naturalist. 174 (5): 720–33. doi:10.1086/606023. PMID 19799501. S2CID 36468932.

Moses ME, Hou C, Woodruff WH, West GB, Nekola JC, Zuo W, Brown JH (2008). "Revisiting a model of ontogenetic growth: estimating model parameters from theory and data". The American Naturalist. 171 (5): 632–645. doi:10.1086/587073. PMID 18419571.

Enquist BJ, West GB, Charnov EL, Brown JH (28 October 1999). "Allometric scaling of production and life-history variation in vascular plants". Nature. 401 (6756): 907–911. Bibcode:1999Natur.401..907E. doi:10.1038/44819. ISSN 1476-4687. S2CID 4397261.
Corrigendum published 7 December 2000.

Niklas KJ (2006). "A phyletic perspective on the allometry of plant biomass-partitioning patterns and functionally equivalent organ-categories". The New Phytologist. 171 (1): 27–40. doi:10.1111/j.1469-8137.2006.01760.x. PMID 16771980.

Reich PB, Tjoelker MG, Machado JL, Oleksyn J (January 2006). "Universal scaling of respiratory metabolism, size and nitrogen in plants". Nature. 439 (7075): 457–61. Bibcode:2006Natur.439..457R. doi:10.1038/nature04282. hdl:11299/176835. PMID 16437113. S2CID 1484450.

Enquist BJ, Allen AP, Brown JH, Gillooly JF, Kerkhoff AJ, Niklas KJ, Price CA, West GB (February 2007). "Biological scaling: does the exception prove the rule?". Nature. 445 (7127): E9–10, discussion E10–1. Bibcode:2007Natur.445....9E. doi:10.1038/nature05548. PMID 17268426. S2CID 43905935. and associated responses

Savage VM, Allen AP, Brown JH, Gillooly JF, Herman AB, Woodruff WH, West GB (March 2007). "Scaling of number, size, and metabolic rate of cells with body size in mammals". Proceedings of the National Academy of Sciences of the United States of America. 104 (11): 4718–23. Bibcode:2007PNAS..104.4718S. doi:10.1073/pnas.0611235104. PMC 1838666. PMID 17360590.

harvard.edu

ui.adsabs.harvard.edu

Enquist BJ, Brown JH, West GB (1998). "Allometric scaling of plant energetics and population density". Nature. 395 (10): 163–165. Bibcode:1998Natur.395..163E. doi:10.1038/25977.

M 3 ⁄ 4

scaling. Thus, metabolic scaling relationships are predicted to show a slight curvilinearity at the smallest size range.

nih.gov

pubmed.ncbi.nlm.nih.gov

Kleiber M (October 1947). "Body size and metabolic rate". Physiological Reviews. 27 (4): 511–41. doi:10.1152/physrev.1947.27.4.511. PMID 20267758.

ncbi.nlm.nih.gov

semanticscholar.org

api.semanticscholar.org

West GB, Brown JH, Enquist BJ (2008). "Sizing Up Allometric Scaling Theory". PLoS Comput Biol. 4 (9): e1000171. doi:10.1126/science.276.5309.122. S2CID 3140271.

worldcat.org

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Kleiber's law (English Wikipedia)

archive.org

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handle.net

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