Ee. Popova et al., CHAOTIC BEHAVIOR OF AN OCEAN ECOSYSTEM MODEL UNDER SEASONAL EXTERNAL FORCING, Journal of plankton research, 19(10), 1997, pp. 1495-1515
A four-component ecosystem model of the oceanic upper mixed layer (UML
) forced by the annual cycle of UML depth, solar irradiation and disso
lved inorganic nitrogen (DIN) entrainment from the seasonal pycnocline
is presented. The model solution demonstrates the following types of
temporal variability: a periodical regime with the frequency of the ex
ternal forcing, a regime with a period of more than 1 year, quasi-peri
odic, and chaotic motion. The model results suggest that the last thre
e types describing the interannual variability can occur only at low l
atitudes in regions of strong upwelling where the DIN concentration in
the seasonal pycnocline is high. However, the range of external forci
ng parameters in which such behaviour takes place is so narrow that it
is unlikely to be a common phenomenon in the ocean. The quasi-periodi
c or chaotic variability of the model ecosystem is very sensitive to t
he initial conditions, and therefore any exact prediction of model beh
aviour is impossible. Nevertheless, a prediction of model ecosystem be
haviour can be obtained in terms of a probability density. The annual
cycle of the model components calculated in this way shows that the di
spersion of the trajectories during the winter period is markedly smal
ler than during the summer. It implies that the dynamics of the model
ecosystem during the summer period is less predictable.