Allometric Scaling Laws

Kleiber's law: metabolic rate scales as M^(3/4) across 27 orders of magnitude — from mitochondria to blue whales. West, Brown & Enquist (1997) derived this from fractal branching networks that minimize energy dissipation while filling volume. Explore how scaling exponents vary across physiological variables.

Kleiber exponent: 3/4 = 0.75
Your exponent: 0.75
R² fit: —

B = aM^b

AnimalMass (kg)B (W)
Mouse0.020.28
Rat0.31.97
Cat311.7
Dog2053
Human70105
Horse500457
Elephant30001785
Whale10000028000