We develop a general model for the effect of body size on fitness. We
define fitness as reproductive power, the rate of conversion of energy
into offspring. Reproductive power is assumed to be limited by a two-
step process: first, the rate of acquisition of energy from the enviro
nment, which scales allometrically as body mass raised to approximatel
y the 0.75 power, and then the rate of conversion of energy into offsp
ring, which scales as mass to approximately the -0.25 power. The model
predicts (1) the distinctive right-skewed shape of the frequency dist
ribution of logarithms of body sizes among species that is observed in
a wide variety of organisms from bacteria to mammals; (2) a taxon-spe
cific optimal body size, which for mammals is approximately 100 g and
is supported by data on the body sizes of mammals on islands; and (3)
that in each taxon the relationships between such life-history and eco
logical characteristics as longevity, clutch size, home range size, an
d population density will change both slope and sign on either side of
the optimal size. An energetic definition of fitness has the potentia
l to unify areas of ecology and evolutionary biology that have previou
sly used models based on different currencies.