Aquatic systems with a high trophic level (for example some coastal lagoons
connected with sea, estuaries, and the neighbourhood) can be affected by s
ome dystrophic phenomena. The instability of these ecosystems greatly depen
ds on the nutrients availability and on the meteorological and climatic con
ditions. The variation of these factors can produce fast evolution of dystr
ophic phenomena into anoxis crises: that is the depletion of oxygen in the
water column that, Starting from localized areas, can interest all the basi
n. Due to these modifications, great changes can be observed in the composi
tion of the biotic community. These processes may be described by a reactio
n-diffusion system based on the following biological hypotheses:
(i) the primary production is assumed to be constant (in particular of macr
ophytes),
(ii) the model consists of the balance equations of some chemical species,
in the water column and in the sediment at the bottom of the water,
(iii) a simplified formalization of reaction kinetics.
The model presented can be used to evaluate the influence of environmental
factors, such as temperature, wind, and lighting on the level of oxygen, an
d it is described by a system of semilinear partial differential equations
of parabolic type.
A numerical study, based on the semidiscrete Galerkin Method with finite el
ements, is proposed. The present approach uses an iterative process of succ
essive approximations which splits the system in three independent systems
of linear equations. Finally, some results of numerical simulation of oxyge
n consumption, with reference to the lagoon of Orbetello (Tuscany, Italy),
are presented and discussed. (C) 2000 Elsevier Science Ltd. All rights rese
rved.