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Volumn 86, Issue 3, 2011, Pages 549-563

Fitting statistical models in bivariate allometry

Author keywords

Allometry; Logarithms; Nonlinear regression; Scaling; Transformation

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; ECOSYSTEM; RESEARCH; STATISTICAL MODEL;

EID: 79960414923     PISSN: 14647931     EISSN: 1469185X     Source Type: Journal    
DOI: 10.1111/j.1469-185X.2010.00160.x     Document Type: Article
Times cited : (80)

References (91)
  • 1
    • 64149122513 scopus 로고    scopus 로고
    • Towards an integration of ecological stoichiometry and the metabolic theory of ecology to better understand nutrient cycling.
    • Allen, A. P. & Gillooly, J. F. (2009). Towards an integration of ecological stoichiometry and the metabolic theory of ecology to better understand nutrient cycling. Ecology Letters 12, 369-384.
    • (2009) Ecology Letters , vol.12 , pp. 369-384
    • Allen, A.P.1    Gillooly, J.F.2
  • 2
    • 0002339335 scopus 로고
    • Graphs in statistical analysis.
    • Anscombe, F. J. (1973). Graphs in statistical analysis. American Statistician 27, 17-21.
    • (1973) American Statistician , vol.27 , pp. 17-21
    • Anscombe, F.J.1
  • 3
    • 55349145941 scopus 로고    scopus 로고
    • Revisiting the evolutionary origin of allometric metabolic scaling in biology.
    • Apol, M. E. F., Etienne, R. S. & Olff, H. (2008). Revisiting the evolutionary origin of allometric metabolic scaling in biology. Functional Ecology 22, 1070-1080.
    • (2008) Functional Ecology , vol.22 , pp. 1070-1080
    • Apol, M.E.F.1    Etienne, R.S.2    Olff, H.3
  • 4
    • 0034738487 scopus 로고    scopus 로고
    • Fitting and interpretation of sediment rating curves.
    • Asselman, N. E. M. (2000). Fitting and interpretation of sediment rating curves. Journal of Hydrology 234, 228-248.
    • (2000) Journal of Hydrology , vol.234 , pp. 228-248
    • Asselman, N.E.M.1
  • 5
    • 0030406191 scopus 로고    scopus 로고
    • Heterochrony in brontothere horn evolution: allometric interpretations and the effect of life history scaling.
    • Bales, G. S. (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
  • 7
    • 84872633254 scopus 로고
    • The use of transformations.
    • Bartlett, M. S. (1947). The use of transformations. Biometrics 3, 39-52.
    • (1947) Biometrics , vol.3 , pp. 39-52
    • Bartlett, M.S.1
  • 9
    • 0002433342 scopus 로고
    • Relation between basal metabolism and mature body weight in different species of mammals and birds.
    • Brody, S. & Proctor, R. C. (1932). Relation between basal metabolism and mature body weight in different species of mammals and birds. Missouri Agricultural Experiment Station Research Bulletin 166, 89-101.
    • (1932) Missouri Agricultural Experiment Station Research Bulletin , vol.166 , pp. 89-101
    • Brody, S.1    Proctor, R.C.2
  • 11
    • 0001739280 scopus 로고    scopus 로고
    • Scaling in biology: patterns and processes, causes and consequences.
    • (ed. J. H. Brown and G. B. West) - Oxford University Press, Oxford.
    • Brown, J. H., West, G. B. & Enquist, B. J. (2000). Scaling in biology: patterns and processes, causes and consequences. In Scaling in Biology (ed. J. H. Brown and G. B. West), pp. 1-24. Oxford University Press, Oxford.
    • (2000) Scaling in Biology , pp. 1-24
    • Brown, J.H.1    West, G.B.2    Enquist, B.J.3
  • 12
    • 84963060385 scopus 로고
    • On use of logarithms to accommodate scale.
    • Bryant, E. H. (1986). On use of logarithms to accommodate scale. Systematic Zoology 35, 552-559.
    • (1986) Systematic Zoology , vol.35 , pp. 552-559
    • Bryant, E.H.1
  • 13
    • 33646877220 scopus 로고    scopus 로고
    • A new look at the scaling of size in mammalian eyes.
    • Burton, R. F. (2006). A new look at the scaling of size in mammalian eyes. Journal of Zoology 269, 225-232.
    • (2006) Journal of Zoology , vol.269 , pp. 225-232
    • Burton, R.F.1
  • 14
    • 77952518301 scopus 로고    scopus 로고
    • On allometric equations for predicting body mass of dinosaurs.
    • Cawley, G. C. & Janacek, G. J. (2010). On allometric equations for predicting body mass of dinosaurs. Journal of Zoology 280, 355-361.
    • (2010) Journal of Zoology , vol.280 , pp. 355-361
    • Cawley, G.C.1    Janacek, G.J.2
  • 15
    • 77950439987 scopus 로고    scopus 로고
    • Scaling of basal metabolic rate with body mass and temperature in mammals.
    • Clarke, A., Rothery, P. & Isaac, N. J. B. (2010). Scaling of basal metabolic rate with body mass and temperature in mammals. Journal of Animal Ecology 79, 610-619.
    • (2010) Journal of Animal Ecology , vol.79 , pp. 610-619
    • Clarke, A.1    Rothery, P.2    Isaac, N.J.B.3
  • 16
    • 0004205773 scopus 로고
    • Revised Edition. AT&T Bell Laboratories, Murray Hill, NJ.
    • Cleveland, W. S. (1994). The Elements of Graphing Data, Revised Edition. AT&T Bell Laboratories, Murray Hill, NJ.
    • (1994) The Elements of Graphing Data
    • Cleveland, W.S.1
  • 18
    • 4243118724 scopus 로고
    • Characterizations of an empirical influence function for detecting influential cases in regression.
    • Cook, R. D. & 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
  • 22
    • 40949099605 scopus 로고    scopus 로고
    • Scaling metabolic rate with body mass and inverse body temperature: a test of the Arrhenius fractal supply model.
    • Downs, C. J., Hayes, J. P. & Tracy, C. R. (2008). Scaling metabolic rate with body mass and inverse body temperature: a test of the Arrhenius fractal supply model. Functional Ecology 22, 239-244.
    • (2008) Functional Ecology , vol.22 , pp. 239-244
    • Downs, C.J.1    Hayes, J.P.2    Tracy, C.R.3
  • 23
    • 0037765671 scopus 로고
    • Transforming data.
    • In (ed. D. C. Hoaglin, F. Mosteller and J.W. Tukey) - Wiley, New York, NY.
    • Emerson, J. D. & Stoto, M. A. (1983). Transforming data. In Understanding Robust and Exploratory Data Analysis (ed. D. C. Hoaglin, F. Mosteller and J.W. Tukey), pp. 97-128. Wiley, New York, NY.
    • (1983) Understanding Robust and Exploratory Data Analysis , pp. 97-128
    • Emerson, J.D.1    Stoto, M.A.2
  • 24
    • 0032505115 scopus 로고    scopus 로고
    • Allometric scaling of plant energetics and population density.
    • Enquist, B. J., Brown, J. H. & West, G. B. (1998). Allometric scaling of plant energetics and population density. Nature 395, 163-166.
    • (1998) Nature , vol.395 , pp. 163-166
    • Enquist, B.J.1    Brown, J.H.2    West, G.B.3
  • 25
    • 23644451199 scopus 로고    scopus 로고
    • Allometric exponents support a 3/4-power scaling law.
    • Farrell-Gray, C. C. & Gotelli, N. J. (2005). Allometric exponents support a 3/4-power scaling law. Ecology 86, 2083-2087.
    • (2005) Ecology , vol.86 , pp. 2083-2087
    • Farrell-Gray, C.C.1    Gotelli, N.J.2
  • 26
    • 84974324993 scopus 로고
    • Was this in your statistics textbook? V. Transformation of data.
    • Finney, D. J. (1989a). Was this in your statistics textbook? V. Transformation of data. Experimental Agriculture 25, 165-175.
    • (1989) Experimental Agriculture , vol.25 , pp. 165-175
    • Finney, D.J.1
  • 27
    • 0000176290 scopus 로고
    • Was this in your statistics textbook? VI. Regression and covariance.
    • Finney, D. J. (1989b). Was this in your statistics textbook? VI. Regression and covariance. Experimental Agriculture 25, 291-311.
    • (1989) Experimental Agriculture , vol.25 , pp. 291-311
    • Finney, D.J.1
  • 28
    • 33749636870 scopus 로고    scopus 로고
    • Interspecific allometry of bone dimensions: a review of the theoretical models.
    • Garcia, G. J. M. & da Silva, J. K. L. (2006). Interspecific allometry of bone dimensions: a review of the theoretical models. Physics of Life Reviews 3, 188-209.
    • (2006) Physics of Life Reviews , vol.3 , pp. 188-209
    • Garcia, G.J.M.1    da Silva, J.K.L.2
  • 30
    • 0034697401 scopus 로고    scopus 로고
    • Arithmetic or geometric normality of biological variation: an empirical test of theory.
    • Gingerich, P. D. (2000). Arithmetic or geometric normality of biological variation: an empirical test of theory. Journal of Theoretical Biology 204, 201-221.
    • (2000) Journal of Theoretical Biology , vol.204 , pp. 201-221
    • Gingerich, P.D.1
  • 31
    • 46449097856 scopus 로고
    • A technique for fitting nonlinear models to biological data.
    • Glass, N. R. (1967). A technique for fitting nonlinear models to biological data. Ecology 48, 1010-1013.
    • (1967) Ecology , vol.48 , pp. 1010-1013
    • Glass, N.R.1
  • 32
    • 0000211118 scopus 로고
    • Discussion of calculation of power function with special reference to respiratory metabolism in fish.
    • Glass, N. R. (1969). Discussion of calculation of power function with special reference to respiratory metabolism in fish. Journal of the Fisheries Research Board of Canada 26, 2643-2650.
    • (1969) Journal of the Fisheries Research Board of Canada , vol.26 , pp. 2643-2650
    • Glass, N.R.1
  • 33
    • 33644833035 scopus 로고    scopus 로고
    • Beyond the '3/4-power law': variation in the intra- and interspecific scaling of metabolic rate in animals.
    • Glazier, D. S. (2005). Beyond the '3/4-power law': variation in the intra- and interspecific scaling of metabolic rate in animals. Biological Reviews 80, 611-662.
    • (2005) Biological Reviews , vol.80 , pp. 611-662
    • Glazier, D.S.1
  • 34
    • 74549188409 scopus 로고    scopus 로고
    • A unifying explanation for diverse metabolic scaling in animals and plants.
    • Glazier, D. S. (2010). A unifying explanation for diverse metabolic scaling in animals and plants. Biological Reviews 85, 111-138.
    • (2010) Biological Reviews , vol.85 , pp. 111-138
    • Glazier, D.S.1
  • 35
    • 0013966054 scopus 로고
    • Allometry and size in ontogeny and phylogeny.
    • Gould, S. J. (1966). Allometry and size in ontogeny and phylogeny. Biological Reviews 41, 587-640.
    • (1966) Biological Reviews , vol.41 , pp. 587-640
    • Gould, S.J.1
  • 36
    • 84919102610 scopus 로고
    • The modified Gauss-Newton method for the fitting of non-linear regression functions by least squares.
    • Hartley, H. O. (1961). The modified Gauss-Newton method for the fitting of non-linear regression functions by least squares. Technometrics 3, 269-280.
    • (1961) Technometrics , vol.3 , pp. 269-280
    • Hartley, H.O.1
  • 38
    • 33744916810 scopus 로고    scopus 로고
    • Allometry, antilog transformations, and the perils of prediction on the original scale.
    • Hayes, J. P. & Shonkwiler, J. S. (2006). Allometry, antilog transformations, and the perils of prediction on the original scale. Physiological and Biochemical Zoology 79, 665-674.
    • (2006) Physiological and Biochemical Zoology , vol.79 , pp. 665-674
    • Hayes, J.P.1    Shonkwiler, J.S.2
  • 40
    • 0040778504 scopus 로고
    • Transformations-An introduction and a bibliography.
    • Hoyle, M. H. (1973). Transformations-An introduction and a bibliography. International Statistical Review 41, 203-223.
    • (1973) International Statistical Review , vol.41 , pp. 203-223
    • Hoyle, M.H.1
  • 41
    • 35148840565 scopus 로고    scopus 로고
    • Uncertainty in allometric exponent estimation: a case study in scaling metabolic rate with body mass.
    • Hui, D. & Jackson, R. B. (2007). Uncertainty in allometric exponent estimation: a case study in scaling metabolic rate with body mass. Journal of Theoretical Biology 249, 168-177.
    • (2007) Journal of Theoretical Biology , vol.249 , pp. 168-177
    • Hui, D.1    Jackson, R.B.2
  • 42
    • 0344262097 scopus 로고
    • On the relation between egg-weight and body-weight in birds. Journal of the Linnean Society of London
    • Huxley, J. S. (1927). On the relation between egg-weight and body-weight in birds. Journal of the Linnean Society of London, Zoology 36, 457-466.
    • (1927) Zoology , vol.36 , pp. 457-466
    • Huxley, J.S.1
  • 44
    • 55949102891 scopus 로고    scopus 로고
    • Endocranial volumes of primate species: scaling analyses using a comprehensive and reliable data set.
    • Isler, K., Kirk, E. C., Miller, J. M. A., Albrecht, G. A., Gelvin, B. R. & Martin, R. D. (2008). Endocranial volumes of primate species: scaling analyses using a comprehensive and reliable data set. Journal of Human Evolution 55, 967-978.
    • (2008) Journal of Human Evolution , vol.55 , pp. 967-978
    • Isler, K.1    Kirk, E.C.2    Miller, J.M.A.3    Albrecht, G.A.4    Gelvin, B.R.5    Martin, R.D.6
  • 45
    • 0022171365 scopus 로고
    • A comparison of detransformed logarithmic regressions and power function regressions.
    • Jansson, M. (1985). A comparison of detransformed logarithmic regressions and power function regressions. Geografiska Annaler 67A, 61-70.
    • (1985) Geografiska Annaler , vol.67 A , pp. 61-70
    • Jansson, M.1
  • 46
    • 61449174710 scopus 로고    scopus 로고
    • Multiplicative by nature: why logarithmic transformation is necessary in allometry.
    • Kerkhoff, A. J. & Enquist, B. J. (2009). Multiplicative by nature: why logarithmic transformation is necessary in allometry. Journal of Theoretical Biology 257, 519-521.
    • (2009) Journal of Theoretical Biology , vol.257 , pp. 519-521
    • Kerkhoff, A.J.1    Enquist, B.J.2
  • 47
    • 0000664818 scopus 로고
    • Body size and metabolism.
    • Kleiber, M. (1932). Body size and metabolism. Hilgardia 6, 315-353.
    • (1932) Hilgardia , vol.6 , pp. 315-353
    • Kleiber, M.1
  • 48
    • 1442308378 scopus 로고    scopus 로고
    • The limits of elaboration: curved allometries reveal the constraints on mandible size in stag beetles.
    • Knell, R. J., Pomfret, J. C. & Tomkins, J. L. (2004). The limits of elaboration: curved allometries reveal the constraints on mandible size in stag beetles. Proceedings of the Royal Society of London B 271, 523-528.
    • (2004) Proceedings of the Royal Society of London B , vol.271 , pp. 523-528
    • Knell, R.J.1    Pomfret, J.C.2    Tomkins, J.L.3
  • 50
    • 29144457531 scopus 로고    scopus 로고
    • West, Brown and Enquist's model of allometric scaling again: the same questions remain.
    • Kozlowski, J. & Konarzewski, M. (2005). West, Brown and Enquist's model of allometric scaling again: the same questions remain. Functional Ecology 19, 739-743.
    • (2005) Functional Ecology , vol.19 , pp. 739-743
    • Kozlowski, J.1    Konarzewski, M.2
  • 52
    • 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. Annual Review of Ecology and Systematics 20, 97-117.
    • (1989) Annual Review of Ecology and Systematics , vol.20 , pp. 97-117
    • LaBarbera, M.1
  • 53
    • 0001558210 scopus 로고
    • On comparing coefficients of variation.
    • Lande, R. (1977). On comparing coefficients of variation. Systematic Zoology 26, 214-217.
    • (1977) Systematic Zoology , vol.26 , pp. 214-217
    • Lande, R.1
  • 54
    • 0036285534 scopus 로고    scopus 로고
    • Generalized linear models in soil science.
    • Lane, P. W. (2002). Generalized linear models in soil science. European Journal of Soil Science 53, 241-251.
    • (2002) European Journal of Soil Science , vol.53 , pp. 241-251
    • Lane, P.W.1
  • 55
    • 26944454808 scopus 로고    scopus 로고
    • Revising the distributive networks models of West, Brown and Enquist (1997) and Banavar, Maritan and Rinaldo (1999): metabolic inequity of living tissues provides clues for the observed allometric scaling rules.
    • Makarieva, A. M., Gorshkov, V. G. & Li, B.-L. (2005). Revising the distributive networks models of West, Brown and Enquist (1997) and Banavar, Maritan and Rinaldo (1999): metabolic inequity of living tissues provides clues for the observed allometric scaling rules. Journal of Theoretical Biology 237, 291-301.
    • (2005) Journal of Theoretical Biology , vol.237 , pp. 291-301
    • Makarieva, A.M.1    Gorshkov, V.G.2    Li, B.-L.3
  • 56
    • 0016786130 scopus 로고
    • Techniques for estimating allometric equations.
    • Manaster, B. J. & Manaster, S. (1975). Techniques for estimating allometric equations. Journal of Morphology 147, 299-308.
    • (1975) Journal of Morphology , vol.147 , pp. 299-308
    • Manaster, B.J.1    Manaster, S.2
  • 61
    • 84893505296 scopus 로고    scopus 로고
    • Notes on the use of data transformations. Practical Assessment, Research & Evaluation (6).
    • Osborne, J. W. (2002). Notes on the use of data transformations. Practical Assessment, Research & Evaluation 8(6).
    • (2002) , vol.8
    • Osborne, J.W.1
  • 62
    • 33144474928 scopus 로고    scopus 로고
    • The power of outliers (and why researchers should ALWAYS check for them). Practical Assessment, Research & Evaluation (6).
    • Osborne, J. W. & Overbay, A. (2004). The power of outliers (and why researchers should ALWAYS check for them). Practical Assessment, Research & Evaluation 9(6).
    • (2004) , vol.9
    • Osborne, J.W.1    Overbay, A.2
  • 63
    • 61449159840 scopus 로고    scopus 로고
    • On the use of logarithmic transformations in allometric research.
    • Packard, G. C. (2009). On the use of logarithmic transformations in allometric research. Journal of Theoretical Biology 257, 515-518.
    • (2009) Journal of Theoretical Biology , vol.257 , pp. 515-518
    • Packard, G.C.1
  • 64
    • 55949133713 scopus 로고    scopus 로고
    • Traditional allometric analysis fails to provide a valid predictive model for mammalian metabolic rates.
    • Packard, G. C. & Birchard, G. F. (2008). Traditional allometric analysis fails to provide a valid predictive model for mammalian metabolic rates. Journal of Experimental Biology 211, 3581-3587.
    • (2008) Journal of Experimental Biology , vol.211 , pp. 3581-3587
    • Packard, G.C.1    Birchard, G.F.2
  • 65
    • 46449090644 scopus 로고    scopus 로고
    • Model selection and logarithmic transformation in allometric analysis.
    • Packard, G. C. & Boardman, T. J. (2008). Model selection and logarithmic transformation in allometric analysis. Physiological and Biochemical Zoology 81, 496-507.
    • (2008) Physiological and Biochemical Zoology , vol.81 , pp. 496-507
    • Packard, G.C.1    Boardman, T.J.2
  • 66
    • 58649104241 scopus 로고    scopus 로고
    • A comparison of methods for fitting allometric equations to field metabolic rates of animals.
    • Packard, G. C. & Boardman, T. J. (2009a). A comparison of methods for fitting allometric equations to field metabolic rates of animals. Journal of Comparative Physiology B 179, 175-182.
    • (2009) Journal of Comparative Physiology B , vol.179 , pp. 175-182
    • Packard, G.C.1    Boardman, T.J.2
  • 67
    • 58549118427 scopus 로고    scopus 로고
    • Bias in interspecific allometry: examples from morphological scaling in varanid lizards.
    • Packard, G. C. & Boardman, T. J. (2009b). Bias in interspecific allometry: examples from morphological scaling in varanid lizards. Biological Journal of the Linnean Society 96, 296-305.
    • (2009) Biological Journal of the Linnean Society , vol.96 , pp. 296-305
    • Packard, G.C.1    Boardman, T.J.2
  • 68
    • 69249097079 scopus 로고    scopus 로고
    • Allometric equations for predicting body mass of dinosaurs.
    • Packard, G. C., Boardman, T. J. & Birchard, G. F. (2009). Allometric equations for predicting body mass of dinosaurs. Journal of Zoology 279, 102-110.
    • (2009) Journal of Zoology , vol.279 , pp. 102-110
    • Packard, G.C.1    Boardman, T.J.2    Birchard, G.F.3
  • 69
    • 78650117328 scopus 로고    scopus 로고
    • Allometric equations for predicting body mass of dinosaurs: a comment on Cawley & Janacek (2010). in press.
    • Packard, G. C., Boardman, T. J. & Birchard, G. F. (2010). Allometric equations for predicting body mass of dinosaurs: a comment on Cawley & Janacek (2010). Journal of Zoology, in press.
    • (2010) Journal of Zoology
    • Packard, G.C.1    Boardman, T.J.2    Birchard, G.F.3
  • 70
    • 0033596117 scopus 로고    scopus 로고
    • A comparative study of regression based methods in regional flood frequency analysis.
    • Pandey, G. R. & Nguyen, V.-T.-V. (1999). A comparative study of regression based methods in regional flood frequency analysis. Journal of Hydrology 225, 92-101.
    • (1999) Journal of Hydrology , vol.225 , pp. 92-101
    • Pandey, G.R.1    Nguyen, V.-T.-V.2
  • 74
    • 0033773485 scopus 로고    scopus 로고
    • The principle of Laplace and scaling of ventricular wall stress and blood pressure in mammals and birds.
    • Seymour, R. S. & Blaylock, A. J. (2000). The principle of Laplace and scaling of ventricular wall stress and blood pressure in mammals and birds. Physiological and Biochemical Zoology 73, 389-405.
    • (2000) Physiological and Biochemical Zoology , vol.73 , pp. 389-405
    • Seymour, R.S.1    Blaylock, A.J.2
  • 76
    • 17744412689 scopus 로고
    • Allometric scaling in comparative biology: problems of concept and method.
    • Smith, R. J. (1984). Allometric scaling in comparative biology: problems of concept and method. American Journal of Physiology 246, R152-R160.
    • (1984) American Journal of Physiology , vol.246
    • Smith, R.J.1
  • 78
    • 84952126648 scopus 로고
    • Validation of regression models: methods and examples.
    • Snee, R. D. (1977). Validation of regression models: methods and examples. Technometrics 19, 415-428.
    • (1977) Technometrics , vol.19 , pp. 415-428
    • Snee, R.D.1
  • 79
    • 0000402849 scopus 로고
    • Outliers and influential data points in regression analysis.
    • Stevens, J. P. (1984). Outliers and influential data points in regression analysis. Psychological Bulletin 95, 334-344.
    • (1984) Psychological Bulletin , vol.95 , pp. 334-344
    • Stevens, J.P.1
  • 80
    • 0002208863 scopus 로고
    • The study of allometry since Huxley.
    • In (J. S. Huxley) - The Johns Hopkins Press, Baltimore, MD.
    • Strauss, R. E. (1993). The study of allometry since Huxley. In Problems of Relative Growth (J. S. Huxley), pp. xlvii-lxxv. The Johns Hopkins Press, Baltimore, MD.
    • (1993) Problems of Relative Growth
    • Strauss, R.E.1
  • 81
    • 79960387304 scopus 로고    scopus 로고
    • Visual Explanations. Graphics Press, Cheshire, CT.
    • Tufte, E. R. (1997). Visual Explanations. Graphics Press, Cheshire, CT.
    • (1997)
    • Tufte, E.R.1
  • 82
    • 0001065501 scopus 로고
    • On the comparative anatomy of transformations.
    • Tukey, J. W. (1957). On the comparative anatomy of transformations. Annals of Mathematical Statistics 28, 602-632.
    • (1957) Annals of Mathematical Statistics , vol.28 , pp. 602-632
    • Tukey, J.W.1
  • 85
    • 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 and Bioenergy 1, 175-180.
    • (1991) Biomass and Bioenergy , vol.1 , pp. 175-180
    • Verwijst, T.1
  • 86
    • 18944386328 scopus 로고    scopus 로고
    • The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization.
    • West, G. B. & Brown, J. H. (2005). The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. Journal of Experimental Biology 208, 1575-1592.
    • (2005) Journal of Experimental Biology , vol.208 , pp. 1575-1592
    • West, G.B.1    Brown, J.H.2
  • 87
    • 0030932272 scopus 로고    scopus 로고
    • 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, 122-126.
    • (1997) Science , vol.276 , pp. 122-126
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 88
    • 0033549841 scopus 로고    scopus 로고
    • A general model for the structure and allometry of plant vascular systems.
    • West, G. B., Brown, J. H. & Enquist, B. J. (1999a). A general model for the structure and allometry of plant vascular systems. Nature 400, 664-667.
    • (1999) Nature , vol.400 , pp. 664-667
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 89
    • 0033522952 scopus 로고    scopus 로고
    • The fourth dimension of life: fractal geometry and allometric scaling of organisms.
    • West, G. B., Brown, J. H. & Enquist, B. J. (1999b). The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science 284, 1677-1679.
    • (1999) Science , vol.284 , pp. 1677-1679
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 90
    • 70349860194 scopus 로고    scopus 로고
    • Phylogenetically informed analysis of the allometry of mammalian basal metabolic rate supports neither geometric nor quarter-power scaling.
    • White, C. R., Blackburn, T. M. & Seymour, R. S. (2009). Phylogenetically informed analysis of the allometry of mammalian basal metabolic rate supports neither geometric nor quarter-power scaling. Evolution 63, 2658-2667.
    • (2009) Evolution , vol.63 , pp. 2658-2667
    • White, C.R.1    Blackburn, T.M.2    Seymour, R.S.3
  • 91
    • 0001250131 scopus 로고
    • Calculation and miscalculation of the allometric equation as a model in biological data.
    • Zar, J. H. (1968). Calculation and miscalculation of the allometric equation as a model in biological data. BioScience 18, 1118-1120.
    • (1968) BioScience , vol.18 , pp. 1118-1120
    • Zar, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.