The mathematical architecture of the METE. Empirically testable metrics, such as the distributions of abundances over species and metabolic rates over individuals, the species–area and endemics–area relationships, and an energy-equivalence principle derive from specified mathematical operations on the two fundamental distributions in the theory: an ecological structure function, , and a spatial distribution, , which in turn, are derived using MaxEnt under the constraints specified in the text. Adapted from ref. 53.