baurmann2003instabilities
Instabilities and pattern formation in simple ecosystem models
Martin Baurmann, Thilo Gross and Ulrike Feudel
Berichte FZ Terramare 12, pp. 22-28 (2003)
Models of chemical and biological processes in the pelagic as
well as in the benthic part of the Wadden Sea are very complex
and highly nonlinear. As known for a long time nonlinearities
can give rise to sudden changes in the behaviour of a
system. Such
changes are caused by instabilities which can occur if environmental
parameters cross certain threshold values (bifurcations).
From an ecological point of view such instabilities
may endanger the ecosystem since the new state of the ecosystem
after the bifurcation can be characterised by different
properties, i. e. a different composition of the species community.
Moreover, nonlinear systems can exhibit different states
for a given set of parameters. This phenomenon is called
multistability. If several different states coexist then it crucially
depends on the initial conditions which of these states is
finally realised.