Ecological Modelling, 27 (1985) 221-234 221
Elsevier Science Publishers B.V., Amsterdam - Printed in The Netherlands
ANALYSIS OF STRUCTURAL STABILITY OF AQUATIC
ECOSYSTEMS AS AN AID FOR ECOSYSTEM CONTROL
FRIEDER RECKNAGEL
University of Technology, Department of Water Science, Laboratory of Hydrobiology, Dresden
(German Democratic Republic)
(Accepted 8 October 1984)
ABSTRACT
Recknagel, F., 1985. Analysis of structural stability of aquatic ecosystems as an aid for
ecosystem control. Ecol. Modelling, 27: 221-234.
Structural stability of aquatic ecosystems is investigated by using the catastrophe theory.
Subjects of investigation are management strategies for improving water quality which were
determined by scenario analysis. Catastrophe theory is applied by simulating the isocline
surfaces of the ecosystem's dominant behaviour variables. Simulations were performed with
the help of the dynamic ecological model SALMO. The approach serves as a means of gaining
information for a stable control of rational management strategies.
INTRODUCTION
Ecological systems are nonlinear dynamic systems which are extremely
rich in their behaviour and tend to multiple stabilities. Multiple stabilities
were observed, inter alia, for pest outbreaks in forest ecosystems (Ludwig et
al., 1978), for changing species dominance in fishery systems (Jones and
Walters, 1976) and in hypereutrophic ecosystems (Uhlmann, 1980). The
investigation of this phenomenon is of great significance for ecosystem
theory as well as ecosystem control (Fiering and Holling, 1974; May, 1977;
Levin, 1979).
There are two viewpoints from which to investigate multiple stability:
microscopic and macroscopic. The microscopic consideration can be attri-
buted to an internal optimization problem which is inherent in each ecosys-
tem. As Casti (1979) has stated, the ecosystem is goal-oriented and "is
attempting to minimize (locally) some cost function". One of the first
investigations for gaining insights into the internal optimization of aquatic
ecosystems was carried out by Radtke and Stra~kraba (1980).
The macroscopic view is based on stability analysis, which may be
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