Since the surface area of the skin through which heat can be expelled grows in size by a power of two, and the amount of energy produced is proportional to the volume, so size by a power of three, one would rather expect the elephant and any other animal to boil and not cool down - they should maintain metabolism proportional to weight by a power of two-thirds.
There can be no mistake, however: it is three-quarters that stubbornly appears in the laws of nature noticed by scientists. In all forest ecosystems, from the Amazon River to the tundra, the relationship between tree species density is inversely proportional to a tree's mass by about three-quarters. The rate of growth of plants also depends on the mass of three-quarters. The same relationship relates the thickness of the tree trunk to the weight of the plant. The territory an animal needs to survive also increases with its weight. In what ratio? Three-quarters of the way, of course.
Why does biology have such a penchant for three-quarters?
According to American ecologists James Brown and Brian Enquist, and Geoffrey West's Los Alamos physicist collaborating with them, the key to solving the mystery is the observation that the size of the organism depends on the efficiency of the internal transport system - water, oxy