P. Vanriel et L. Johnson, ACTION PRINCIPLES AS DETERMINANTS OF ECOSYSTEM STRUCTURE - THE AUTONOMOUS LAKE AS A REFERENCE SYSTEM, Ecology, 76(6), 1995, pp. 1741-1757
Action in theoretical physics is an abstract quantity describing the o
verall motion of a system; action has the dimensions of energy x time
(in joule-seconds). The Principle of Least Action states that physical
systems follow that path for which the action has the least value. By
analogy, we hypothesize that, if the principle of least action is uni
versal, ecosystems must be structured on interaction between this prin
ciple of least action and an overriding Principle of Most Action. Most
action implies energy acquisition, concentration, and conservation. I
n an autonomous ecosystem a trophic hierarchy is formed in which, for
stability, the action increases at each hierarchical level. We predict
ed that energy density (in joules per gram), being one of the componen
ts of most action, must increase at each level along the food chain. T
his prediction was tested in Keyhole Lake, a small Arctic lake in the
Canadian Northwest Territories, and found to be substantiated. The maj
or non-conformity with the hypothesis was found in the zooplankton, wh
ich at ail times showed the highest energy density. We concluded that
the plankton forms an essentially separate compartment of the ecosyste
m. Total biomass energy in each hierarchical level confirmed the exist
ence of an energy pyramid, in which the relationship between levels ex
hibited the characteristics of an inverse cooling curve. An autonomous
lake, such as Keyhole Lake, may be regarded as the nearest approach i
n the natural world to a reference system, against which other systems
may be evaluated.