We present and analyze a nonlinear dynamical system modelling forest-pests
interactions and the way they are affected by acidic deposition. The model
includes mechanisms of carbon and nitrogen exchange between soil and vegeta
tion, biomass decomposition and microbial mineralization, and defoliation b
y pest grazers, which are partially controlled by avian or mammalian predat
ors. Acidic deposition is assumed to directly damage vegetation, to decreas
e soil pH, which in turn damages roots and inhibits microbial activity, and
to predispose trees to increased pest attack. All the model parameters are
set to realistic values except the inflow of protons to soil and the preda
tion mortality inflicted to the pest which are allowed to vary inside reaso
nable ranges. A numerical bifurcation analysis with respect to these two pa
rameters is carried out. Five functioning modes are uncovered: (i) pest-fre
e equilibrium; (ll) pest persisting at endemic equilibrium; (iii) forest-pe
st permanent oscillations; (iv) bistable behavior with the system convergin
g either to pest-free equilibrium or endemic pest presence in accordance wi
th initial conditions; (v) bistable behavior with convergence to endemic pe
st presence or permanent oscillations depending on initial conditions. Cata
strophic bifurcations between the different behavior modes ape possible, pr
ovided the abundance of predators is not too small. Numerical simulation sh
ows that increasing acidic load can lead the forest to collapse in a short
time period without important warning signals. (C) 1998 Academic Press.