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Controversy in the allometric application of fixed- versus varying-exponent models: A statistical and mathematical perspective

✍ Scribed by Huadong Tang; Azher Hussain; Mauricio Leal; Eric Fluhler; Michael Mayersohn


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
170 KB
Volume
100
Category
Article
ISSN
0022-3549

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✦ Synopsis


This commentary is a reply to a recent article by Mahmood commenting on the authors' article on the use of fixed-exponent allometry in predicting human clearance. The commentary discusses eight issues that are related to criticisms made in Mahmood's article and examines the controversies (fixed-exponent vs. varying-exponent allometry) from the perspective of statistics and mathematics. The key conclusion is that any allometric method, which is to establish a power function based on a limited number of animal species and to extrapolate the resulting power function to human values (varying-exponent allometry), is infused with fundamental statistical errors.