Many physiological and life-history traits correlate with body weight
in interspecific comparisons. To explain these allometries, we assume
that the parameters of within-species functions describing the size de
pendence of production and mortality rates differ between species of t
he same taxon and that natural selection has optimized body size throu
gh optimal allocation of resources to growth and reproduction independ
ently in each species. In a simple simulation model, we obtain good in
terspecific allometries for respiration, assimilation, production rate
s, age at maturity, and life expectancy. Some correlations, for exampl
e, those between age at maturity and life expectancy, remain significa
nt after the effect of body size is removed. The slopes of the allomet
ries depend not only on the average values of the parameters but also
on their coefficients of variation. We show analytically how these slo
pes are determined for a simplifed model and how body size distributio
ns are determined. In our model, interspecific allometries emerge as a
result of body size optimization and the distributions of intraspecif
ic production and mortality parameters.