Scaling Flashcards
Isometric
An increase in x creates an identical increase in y
Allometric
Something increase to log x but with a slope slightly greater/less than one
Normally describes a relationship where x is body size
Kleibers law
Scaling relationship of 0.67 between metabolic rate and SA:V
Per unit of mass, larger animals consume much less energy that smaller animals
Controversial, Kleiber probably wrong
Scaling exponent
White and Seymour: much more careful look at scaling exponents and corrected for temperature and exact phylogenetic relationships
0.69 relationship- significantly different from 0.67
Removed ruminants as bacteria continue to ferment when when animal at BMR- otherwise calculation artificially too high
0.68 not significantly different from 0.67
To test metabolic theory if ecology
Metabolic theory of ecology
Extension of kleibers law
Metabolic rate of organisms is the fundamental biological rate that governs most observed patterns in ecology
West, Brown and Enquist
Supply networks
Recalculated original data set- 0.75 and couldn’t be explained by SA:V
Branch of lungs, capillary networks, tracheal system etc
Weibel
Disputed WBE because animals aren’t constrained by BMR
Maximal metabolic rate: relationship between mass and VO2 max is 0.87 and can’t be explained by fractal networks
Sustained metabolic scope
SusMS
Ability to increase metabolic rate without experiencing extreme penalties (e.g. Weight loss, reduced life span)
Up to 7x BMR
Limited by what guy can take in