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Techniques for estimating allometric equations
Journal of Morphology, 1975AbstractMorphologists have long been aware that differential size relationships of variables can be of great value when studying shape. Allometric patterns have been the basis of many interpretations of adaptations, biomechanisms, and taxonomies. It is of importance that the parameters of the allometric equation be as accurate estimates as possible ...
B J, Manaster, S, Manaster
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Interpretation of the Coefficient in the Allometric Equation
The American Naturalist, 1965Interpretation of the coefficient, b, in the allometric equation, y = b xk, is much disputed, and many presume it devoid of biological meaning. Difficulties impeding the interpretation of b are resolved: 1) biological significance cannot be dismissed on dimensional grounds; 2) the interval over which the measurements are valid must be stated as part of
John F. White, Stephen Jay Gould
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On allometric equations for predicting body mass of dinosaurs
Journal of Zoology, 2010Packard and colleagues investigate the prediction of the body mass of dinosaurs, using allometric models, advocating parameter estimation via direct optimization of a least-squares criterion on arithmetic axes rather than the conventional approach based on linear least-squares regression on logarithmic axes.
Cawley, G. C., Janacek, G. J.
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Estimation of plant biomass based on the allometric equation
Canadian Journal of Forest Research, 1981Estimation of the parameters in the allometric equation by fitting a simple linear regression to the logarithmically transformed variables results in biased estimates of the arithmetic mean. This bias expressed as a percent of the mean approaches the limit −(1 − e−σ2/2) (100) as n increases.
David O. Yandle, Harry V. Wiant Jr.
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Allometric equations for predicting body mass of dinosaurs
Journal of Zoology, 2009AbstractWe use data from the literature to compare two statistical procedures for estimating mass (or size) of quadrupedal dinosaurs and other extraordinarily large animals in extinct lineages. Both methods entail extrapolation from allometric equations fitted to data for a reference group of contemporary animals having a body form similar to that of ...
G. C. Packard +2 more
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Allometric Equations to Estimate Sugarcane Aboveground Biomass
Sugar Tech, 2019Sugarcane harvest implies in the movement of very large amounts of biomass and, therefore, demands careful planning of logistics. Accurate pre-harvest estimation of sugarcane field productivity provides useful data to plan harvest, transportation, selling and industrial processing activities.
Eric Xavier de Carvalho +7 more
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Allometric Growth and the Beverton and Holt Yield Equation
Transactions of the American Fisheries Society, 1964Abstract In the development of their theory of fishing, Beverton and Holt assume that growth is isometric and thus express the body weight of a fish as directly proportional to the cube of its length. The effect on their theory of replacing this assumption with an allometric growth equation estimated from weight-length data is examined in this paper ...
G. J. Paulik, Lawrence E. Gales
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Calculation and Miscalculation of the Allometric Equation Reconsidered
BioScience, 1969In the December 1968 issue of BioScience, an article appeared entitled "Calculation and Miscalculation of the Allometric Equation as a Model in Biological Data" by Jerrold H. Zar. This article, while dealing with a very basic and important problem of data analysis-the question of whether or not to use data transformations in fitting models to ...
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Estimation of parameters of allometric equations.
Bollettino della Societa italiana di biologia sperimentale, 1993Accurate parameter estimation of allometric equations is a question of considerable interest. Various techniques that address this problem exist. In this paper it is assumed that the measured values are normally distributed and a maximum likelihood estimation approach is used.
M, Valente +3 more
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On the hidden physical dimensions of the allometric equation.
Archivos de biologia y medicina experimentales, 1993The aim of the present study was to submit Huxley's allometric equation (Y = aMb) to a dimensional analysis; in this equation Y is any biological variable, a is the mass-coefficient, M represents body mass, and b the mass-exponent. The dimensions of each of its components is thoroughly analyzed by means of the MLT-system of physics, as is the ...
E, Morgado, B, Günther
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