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1. INTRODUCTION All biological activities thus understanding wh fundamental importanc bolic rate is body size typically scales with b power function R=ai

1. INTRODUCTION All biological activities thus understanding wh fundamental importanc bolic rate is body size typically scales with b power function R=ai

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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This is in ecology please help me identify what the variables in this equation mean R=aM^b
1. INTRODUCTION All biological activities depend on metabolic energy, and thus understanding why rates of metabolism vary is of fundamental importance. A major factor affecting meta- bolic rate is body size. Respiratory metabolic rate (R) typically scales with body mass (M) according to the power function R=aM, where a is a normalization constant (antilog of the intercept in a log-log plot) and b is the scaling exponent (slope in a log-log plot). Rubner (1883) observed that the scaling exponent b was 2/3 in dogs of different size, which he explained using the theory of Sarrus & Rameaux (1839: cited in McNab 2002). According to this theory, to maintain a constant body temperature, endothermic animals must metabolically produce enough body heat to exactly balance the amount of heat lost through their body surface. Therefore, since body surface scales as M, so should metabolic rate. However, in broader comparisons of different species of mammals, Kleiber (1932) found that b was closer to 3/4 than 2/3. Since that time, it has been commonly assumed that b is typically 3/4, a generalization known as 'Kleiber's h e law' or the 3/4-power law' (Brody 1945; Hemmingsen
Transcribed Image Text:1. INTRODUCTION All biological activities depend on metabolic energy, and thus understanding why rates of metabolism vary is of fundamental importance. A major factor affecting meta- bolic rate is body size. Respiratory metabolic rate (R) typically scales with body mass (M) according to the power function R=aM, where a is a normalization constant (antilog of the intercept in a log-log plot) and b is the scaling exponent (slope in a log-log plot). Rubner (1883) observed that the scaling exponent b was 2/3 in dogs of different size, which he explained using the theory of Sarrus & Rameaux (1839: cited in McNab 2002). According to this theory, to maintain a constant body temperature, endothermic animals must metabolically produce enough body heat to exactly balance the amount of heat lost through their body surface. Therefore, since body surface scales as M, so should metabolic rate. However, in broader comparisons of different species of mammals, Kleiber (1932) found that b was closer to 3/4 than 2/3. Since that time, it has been commonly assumed that b is typically 3/4, a generalization known as 'Kleiber's h e law' or the 3/4-power law' (Brody 1945; Hemmingsen
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