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Volumn 181, Issue 6, 2011, Pages 841-849

Unanticipated consequences of logarithmic transformation in bivariate allometry

Author keywords

Allometry; Logarithms; Scaling; Transformations

Indexed keywords

ANIMAL; ARTICLE; COLON; EVOLUTION; HISTOLOGY; MATHEMATICAL PHENOMENA; REGRESSION ANALYSIS; RODENT;

EID: 79960606945     PISSN: 01741578     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00360-011-0565-3     Document Type: Article
Times cited : (25)

References (46)
  • 1
    • 0002339335 scopus 로고
    • Graphs in statistical analysis
    • Anscombe FJ (1973) Graphs in statistical analysis. Am Stat 27: 17-21.
    • (1973) Am Stat , vol.27 , pp. 17-21
    • Anscombe, F.J.1
  • 2
    • 0030406191 scopus 로고    scopus 로고
    • Heterochrony in brontothere horn evolution: allometric interpretations and the effect of life history scaling
    • Bales GS (1996) Heterochrony in brontothere horn evolution: allometric interpretations and the effect of life history scaling. Paleobiology 22: 481-495.
    • (1996) Paleobiology , vol.22 , pp. 481-495
    • Bales, G.S.1
  • 3
    • 84872633254 scopus 로고
    • The use of transformations
    • Bartlett MS (1947) The use of transformations. Biometrics 3: 39-52.
    • (1947) Biometrics , vol.3 , pp. 39-52
    • Bartlett, M.S.1
  • 4
    • 0000935490 scopus 로고    scopus 로고
    • Principles and procedures of exploratory data analysis
    • Behrens JT (1997) Principles and procedures of exploratory data analysis. Psychol Methods 2: 131-160.
    • (1997) Psychol Methods , vol.2 , pp. 131-160
    • Behrens, J.T.1
  • 5
    • 0001739280 scopus 로고    scopus 로고
    • Scaling in biology: patterns and processes, causes and consequences
    • J. H. Brown and G. B. West (Eds.), Oxford: Oxford University Press
    • Brown JH, West GB, Enquist BJ (2000) Scaling in biology: patterns and processes, causes and consequences. In: Brown JH, West GB (eds) Scaling in biology. Oxford University Press, Oxford, pp 1-24.
    • (2000) Scaling in Biology , pp. 1-24
    • Brown, J.H.1    West, G.B.2    Enquist, B.J.3
  • 7
    • 77953575226 scopus 로고    scopus 로고
    • Testing metabolic scaling theory using intraspecific allometries in Antarctic microarthropods
    • Caruso T, Garlaschelli D, Bargagli R, Convey P (2010) Testing metabolic scaling theory using intraspecific allometries in Antarctic microarthropods. Oikos 119: 935-945.
    • (2010) Oikos , vol.119 , pp. 935-945
    • Caruso, T.1    Garlaschelli, D.2    Bargagli, R.3    Convey, P.4
  • 8
    • 4243118724 scopus 로고
    • Characterizations of an empirical influence function for detecting influential cases in regression
    • Cook RD, Weisberg S (1980) Characterizations of an empirical influence function for detecting influential cases in regression. Technometrics 22: 495-508.
    • (1980) Technometrics , vol.22 , pp. 495-508
    • Cook, R.D.1    Weisberg, S.2
  • 9
    • 38749098140 scopus 로고    scopus 로고
    • Fitting concentration and load rating curves with generalized linear models
    • Cox NJ, Warburton J, Armstrong A, Holliday VJ (2008) Fitting concentration and load rating curves with generalized linear models. Earth Surf Proc Landf 33: 25-39.
    • (2008) Earth Surf Proc Landf , vol.33 , pp. 25-39
    • Cox, N.J.1    Warburton, J.2    Armstrong, A.3    Holliday, V.J.4
  • 10
    • 77955597019 scopus 로고    scopus 로고
    • Shifts in metabolic scaling, production, and efficiency across major evolutionary transitions of life
    • DeLong JP, Okie JG, Moses ME, Sibly RM, Brown JH (2010) Shifts in metabolic scaling, production, and efficiency across major evolutionary transitions of life. Proc Natl Acad Sci USA 107: 12941-12945.
    • (2010) Proc Natl Acad Sci USA , vol.107 , pp. 12941-12945
    • Delong, J.P.1    Okie, J.G.2    Moses, M.E.3    Sibly, R.M.4    Brown, J.H.5
  • 12
    • 84974324993 scopus 로고
    • Was this in your statistics textbook? V. Transformation of data
    • Finney DJ (1989) Was this in your statistics textbook? V. Transformation of data. Exp Agric 25: 165-175.
    • (1989) Exp Agric , vol.25 , pp. 165-175
    • Finney, D.J.1
  • 14
    • 0000211118 scopus 로고
    • Discussion of calculation of power function with special reference to respiratory metabolism in fish
    • Glass NR (1969) Discussion of calculation of power function with special reference to respiratory metabolism in fish. J Fish Res Board Can 26: 2643-2650.
    • (1969) J Fish Res Board Can , vol.26 , pp. 2643-2650
    • Glass, N.R.1
  • 15
    • 0013966054 scopus 로고
    • Allometry and size in ontogeny and phylogeny
    • Gould SJ (1966) Allometry and size in ontogeny and phylogeny. Biol Rev 41: 587-640.
    • (1966) Biol Rev , vol.41 , pp. 587-640
    • Gould, S.J.1
  • 17
    • 33744916810 scopus 로고    scopus 로고
    • Allometry, antilog transformations, and the perils of prediction on the original scale
    • Hayes JP, Shonkwiler JS (2006) Allometry, antilog transformations, and the perils of prediction on the original scale. Physiol Biochem Zool 79: 665-674.
    • (2006) Physiol Biochem Zool , vol.79 , pp. 665-674
    • Hayes, J.P.1    Shonkwiler, J.S.2
  • 18
    • 0040778504 scopus 로고
    • Transformations-an introduction and a bibliography
    • Hoyle MH (1973) Transformations-an introduction and a bibliography. Int Stat Rev 41: 203-223.
    • (1973) Int Stat Rev , vol.41 , pp. 203-223
    • Hoyle, M.H.1
  • 20
    • 61449174710 scopus 로고    scopus 로고
    • Multiplicative by nature: why logarithmic transformation is necessary in allometry
    • Kerkhoff AJ, Enquist BJ (2009) Multiplicative by nature: why logarithmic transformation is necessary in allometry. J Theor Biol 257: 519-521.
    • (2009) J Theor Biol , vol.257 , pp. 519-521
    • Kerkhoff, A.J.1    Enquist, B.J.2
  • 21
    • 0024871334 scopus 로고
    • Analyzing body size as a factor in ecology and evolution
    • LaBarbera M (1989) Analyzing body size as a factor in ecology and evolution. Annu Rev Ecol Syst 20: 97-117.
    • (1989) Annu Rev Ecol Syst , vol.20 , pp. 97-117
    • Labarbera, M.1
  • 22
    • 0036285534 scopus 로고    scopus 로고
    • Generalized linear models in soil science
    • Lane PW (2002) Generalized linear models in soil science. Eur J Soil Sci 53: 241-251.
    • (2002) Eur J Soil Sci , vol.53 , pp. 241-251
    • Lane, P.W.1
  • 23
    • 77952530971 scopus 로고    scopus 로고
    • The allometry of rodent intestines
    • Lovegrove BG (2010) The allometry of rodent intestines. J Comp Physiol B 180: 741-755.
    • (2010) J Comp Physiol B , vol.180 , pp. 741-755
    • Lovegrove, B.G.1
  • 24
    • 26944475496 scopus 로고    scopus 로고
    • Energetics of the smallest: do bacteria breathe at the same rate as whales?
    • Makarieva AM, Gorshkov VG, Li B-L (2005) Energetics of the smallest: do bacteria breathe at the same rate as whales? Proc R Soc B 272: 2219-2224.
    • (2005) Proc R Soc B , vol.272 , pp. 2219-2224
    • Makarieva, A.M.1    Gorshkov, V.G.2    Li, B.-L.3
  • 25
    • 55949118803 scopus 로고    scopus 로고
    • Mean mass-specific metabolic rates are strikingly similar across life's major domains: evidence for life's metabolic optimum
    • Makarieva AM, Gorshkov VG, Li B-L, Chown SL, Reich PB, Gavrilov VM (2008) Mean mass-specific metabolic rates are strikingly similar across life's major domains: evidence for life's metabolic optimum. Proc Natl Acad Sci USA 105: 16994-16999.
    • (2008) Proc Natl Acad Sci USA , vol.105 , pp. 16994-16999
    • Makarieva, A.M.1    Gorshkov, V.G.2    Li, B.-L.3    Chown, S.L.4    Reich, P.B.5    Gavrilov, V.M.6
  • 26
    • 84893505296 scopus 로고    scopus 로고
    • Notes on the use of data transformations
    • Osborne JW (2002) Notes on the use of data transformations. Pract Assess Res Eval 8(6) (http://PAREonline. net/getvn. asp?v=8& n=6).
    • (2002) Pract Assess Res Eval , vol.8 , Issue.6
    • Osborne, J.W.1
  • 27
    • 33144474928 scopus 로고    scopus 로고
    • The power of outliers (and why researchers should ALWAYS check for them)
    • Osborne JW, Overbay A (2004) The power of outliers (and why researchers should ALWAYS check for them). Pract Assess Res Eval 9(6) (http://PAREonline. net/getvn. asp?v=9& n=6).
    • (2004) Pract Assess Res Eval , vol.9 , Issue.6
    • Osborne, J.W.1    Overbay, A.2
  • 28
    • 61449159840 scopus 로고    scopus 로고
    • On the use of logarithmic transformations in allometric research
    • Packard GC (2009) On the use of logarithmic transformations in allometric research. J Theor Biol 257: 515-518.
    • (2009) J Theor Biol , vol.257 , pp. 515-518
    • Packard, G.C.1
  • 29
    • 46449090644 scopus 로고    scopus 로고
    • Model selection and logarithmic transformation in allometric analysis
    • Packard GC, Boardman TJ (2008) Model selection and logarithmic transformation in allometric analysis. Physiol Biochem Zool 81: 496-507.
    • (2008) Physiol Biochem Zool , vol.81 , pp. 496-507
    • Packard, G.C.1    Boardman, T.J.2
  • 30
    • 58649104241 scopus 로고    scopus 로고
    • A comparison of methods for fitting allometric equations to field metabolic rates of animals
    • Packard GC, Boardman TJ (2009a) A comparison of methods for fitting allometric equations to field metabolic rates of animals. J Comp Physiol B 179: 175-182.
    • (2009) J Comp Physiol B , vol.179 , pp. 175-182
    • Packard, G.C.1    Boardman, T.J.2
  • 31
    • 58549118427 scopus 로고    scopus 로고
    • Bias in interspecific allometry: examples from morphological scaling in varanid lizards
    • Packard GC, Boardman TJ (2009b) Bias in interspecific allometry: examples from morphological scaling in varanid lizards. Biol J Linn Soc 96: 296-305.
    • (2009) Biol J Linn Soc , vol.96 , pp. 296-305
    • Packard, G.C.1    Boardman, T.J.2
  • 32
  • 34
    • 68349148162 scopus 로고    scopus 로고
    • Morphology and postlarval development of the ligament of Thracia phaseolina (Bivalvia: Thraciidae), with a discussion of model choice in allometric studies
    • Sartori AF, Ball AD (2009) Morphology and postlarval development of the ligament of Thracia phaseolina (Bivalvia: Thraciidae), with a discussion of model choice in allometric studies. J Mollusc Stud 75: 295-304.
    • (2009) J Mollusc Stud , vol.75 , pp. 295-304
    • Sartori, A.F.1    Ball, A.D.2
  • 36
    • 0021352773 scopus 로고
    • Allometric scaling in comparative biology: problems of concept and method
    • Smith RJ (1984) Allometric scaling in comparative biology: problems of concept and method. Am J Physiol 246: R152-R160.
    • (1984) Am J Physiol , vol.246 , pp. 152-160
    • Smith, R.J.1
  • 37
    • 0027402566 scopus 로고
    • Logarithmic transformation bias in allometry
    • Smith RJ (1993) Logarithmic transformation bias in allometry. Am J Phys Anthropol 90: 215-228.
    • (1993) Am J Phys Anthropol , vol.90 , pp. 215-228
    • Smith, R.J.1
  • 38
    • 84952126648 scopus 로고
    • Validation of regression models: methods and examples
    • Snee RD (1977) Validation of regression models: methods and examples. Technometrics 19: 415-428.
    • (1977) Technometrics , vol.19 , pp. 415-428
    • Snee, R.D.1
  • 39
    • 0002208863 scopus 로고
    • The study of allometry since Huxley
    • In: Huxley JS (ed), new edition. Johns Hopkins Press, Baltimore
    • Strauss RE (1993) The study of allometry since Huxley. In: Huxley JS (ed) Problems of relative growth, new edition. Johns Hopkins Press, Baltimore, pp xlvii-lxxv.
    • (1993) Problems of relative growth
    • Strauss, R.E.1
  • 40
    • 0001065501 scopus 로고
    • On the comparative anatomy of transformations
    • Tukey JW (1957) On the comparative anatomy of transformations. Ann Math Stat 28: 602-632.
    • (1957) Ann Math Stat , vol.28 , pp. 602-632
    • Tukey, J.W.1
  • 41
    • 0042113572 scopus 로고
    • Data analysis, computation and mathematics
    • Tukey JW (1972) Data analysis, computation and mathematics. Q Appl Math 30: 51-65.
    • (1972) Q Appl Math , vol.30 , pp. 51-65
    • Tukey, J.W.1
  • 43
    • 0000339211 scopus 로고
    • Logarithmic transformations in biomass estimation procedures: violation of the linearity assumption in regression analysis
    • Verwijst T (1991) Logarithmic transformations in biomass estimation procedures: violation of the linearity assumption in regression analysis. Biomass Bioenergy 1: 175-180.
    • (1991) Biomass Bioenergy , vol.1 , pp. 175-180
    • Verwijst, T.1
  • 45
    • 79251596923 scopus 로고    scopus 로고
    • Allometric estimation of metabolic rates in animals
    • White CR (2011) Allometric estimation of metabolic rates in animals. Comp Biochem Physiol A 158: 346-357.
    • (2011) Comp Biochem Physiol A , vol.158 , pp. 346-357
    • White, C.R.1
  • 46
    • 77957104527 scopus 로고    scopus 로고
    • A protocol for data exploration to avoid common statistical problems
    • Zuur AF, Ieno EN, Elphick CS (2010) A protocol for data exploration to avoid common statistical problems. Meth Ecol Evol 1: 3-14.
    • (2010) Meth Ecol Evol , vol.1 , pp. 3-14
    • Zuur, A.F.1    Ieno, E.N.2    Elphick, C.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.