Theoretical allometries agree with empirical estimates
The theoretically predicted exponents for two dimensional interactions are compared with empirical exponents for mammals, reptiles and birds in Table 1.
I have found no convincing 1D cases, but the 2D-3D-transition is supported by taxa from unicells to mammals when grouped according to empirical estimates of exponent for mass specific metabolism (Table 2). Most terrestrial and benthic taxa are classified as 2D, and pelagic taxa and primates as 3D. The 2D-3D transition is also supported by empirical estimates of the exponents for lifespan and population density (Fig. 1 and Table 3).
- Nowak, R.M. 1991. Walker's mammals of the world, volume I--II. 5th ed. The Johns Hopkins University Press, Baltimore.
- Pawar, S., A.I. Dell and V.M. Savage 2012. Dimensionality of consumer search space drives trophic interaction strengths. Nature 486:485--489.
- Witting, L. 1997. A general theory of evolution. By means of selection by density dependent competitive interactions. Peregrine Publisher, Århus, 330 pp, URL http://mrLife.org.
- Witting, L. 2017. The natural selection of metabolism and mass selects allometric transitions from prokaryotes to mammals. Theoretical Population Biology 117:23--42, http://dx.doi.org/10.1016/j.tpb.2017.08.005.