1997b) that relates the equilibrial
biomass of a plant community, [B.sup.(N)], to its original plant species diversity, N:
The models diverged in their predictions about how equilibrial
algal biomass would respond to grazer manipulations across systems that varied in algal carrying capacity (i.e., as determined by phosphorus levels).
3) be expressed as a change in equilibrial
response rather than as a rate to better reflect effects on population persistence.
Regardless of whether stability can be viewed as the product of an equilibrial
process (DeAngelis and Waterhouse 1987, Doherty and Williams 1988a) or as a measure of environmental determinism (Grossman 1982, Meffe and Sheldon 1990), its measurement is critical.
Note that the equilibrial
free space of the dominant as a single species, [Mathematical Expression Omitted]([Alpha], [Beta]), is constant with respect to area.
For Lotka-Volterra type models, equilibrial
values can be obtained by taking the negative inverse of the community matrix described above (-[A.sup.-1]) and multiplying it by a column vector, which contains the density-independent terms in the underlying differential equations (e.g., [b.sub.v] - [m.sub.v] and -[m.sub.h] in Eqs.
Selection that does not depend upon genotype frequency tends to increase either the average growth rate or the equilibrial
abundance of the species experiencing selection (Roughgarden 1979).
For my analyses, I considered the number of species remaining after each level of habitat destruction, recommencing each time with equilibrial
abundances from the level of habitat destruction immediately preceding.