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ŠUMARSKI LIST 1-2/2007 str. 58     <-- 58 -->        PDF

growth and development of diameter and height structures, the authors analyze
the condition and speed of growth of pedunculate oak high forests. According
to the Theory of Dissipative Structures, stands are classified into the following
categories: balanced, periodic, non-periodic and chaotic. Dissipative
forests are equilibrium, near-equilibrium and far-from-equilibrium systems.

The concept of dissipative structures, coined by the Belgian chemist and
physicist Ilya Prigogine, accounts for the coherent behaviour in far-fromequilibrium
systems. This concept explains a close link between structures
and order on the one hand and dissipation on the other. The Theory of Dissipative
Structures deals with a tendency from order towards disorder and
increasing entropy. According to the Second Law of Thermodynamics, while
entropy increases, energy is lost irreversibly. Energy dissipation, which is irreversible
at the molecular level, is followed by an opposite process of orderly
chaos at the subatomic level. According to Prigogine, dissipative structures
are islands of order in the sea of disorder. They maintain and increase their
order by increasing the disorder of their surroundings.

A map of a dissipative structure of pedunculate oak (Quercus robur L.)
high forests was made for the management unit Slavir. Standard height series
were constructed for the first site class. Parameters of regression series of
current annual diameter increment were obtained by iterations for each particular
stand condition. Volume yield tables and tables of monetary values of
wood assortments in the first site class were constructed for the dissipative
stand structure.

There are significant differences in the production and monetary value of
wood assortments for the dissipative structure of pedunculate oak (Quercus
robur L.).

Young stands aged 20 and less in the phase of first increment culminations,
covering areas of 1,204 ha and having a dissipative structure, denote
the initial condition.

A characteristic feature of chaotic systems is their sensitive dependence on
initial conditions. Even the slightest biotic and abiotic disturbance may cause
a nonlinear retroactive effect.

Stands in a balanced condition over 621 ha are predominantly young and
cannot be compared to older stands in a periodic, non-periodic and chaotic

The stands in a periodic condition extend over 1,295 ha. Their density is
0.86, the increment amounts to 7.10 m3/ha, the average stock is 347.7 m3/ha
and the monetary value of wood assortments is 156,441 kuna per hectare.

The stands in a non-periodic condition cover an area of 3,720 ha. Their
density is 0.86, the increment is 6.71 m3/ha, the average stock is 352.2 m3/ha
and the monetary value of wood assortments is 162,450 kuna per hectare.

The stands in a chaotic condition cover an area of 1,004 ha. Their density
is 0.80, the increment is 5.61 m3/ha and the average stock is 352.8, whereas
the monetary value of wood assortments amounts to only 65,048 kuna per
hectare due to dieback.

The research results are a pathway to modeling multi-dimensional forest
dynamics, which leads to multipurpose and sustainable management.

Key words: complex equations, dendrograms, nonlinear dynamical
systems, dissipative structures, sustainable management.

Šumarski list br. 1–2, CXXXI (2007), 35-56