1. We critically evaluated the Energetic Equivalence Rule (EER) with r
egard to its underlying theoretical framework, its dependence of a par
ticular relationship between population density and body size, and the
way it is calculated. 2. We found it to be theoretically incorrect, n
ot supported by empirical data on maximum population density and body
size relationships, and that its calculation is misleading, In particu
lar, we found a general pattern underlying the allometry of maximum po
pulation density, which stresses the correspondence between the docume
nted linear patterns and triangular relationships between both variabl
es. 3. Two independent data sets, one for mammals and another for inte
rtidal invertebrates, showed that medium-size species attain higher po
pulation densities, and that population density decreases towards larg
er and smaller sizes. 4. A more direct calculation of population energ
y use for mammalian primary consumers, based on measured metabolic rat
es, showed that populations' energy use fluctuates widely among specie
s and that its upper limit is not independent of body size but peaks a
t a body size of about 100 g, and decreases toward both smaller and la
rger body sizes. 5. Diet also has a strong effect on this relationship
. Omnivores show a positive relationship between population energy use
and body size, while this is negative for carnivores and insectivores
.