Geoscience Reference
In-Depth Information
The functioning of the EES is determined by the volume of consumption and
distribution of resources, which depends on population density. Hence, the prog-
nostic estimate of the state of EES is connected with the accuracy of the demo-
graphic model and depends on the level of interaction with other EESs. It is
necessary to bear in mind that all elements of the system consume and produce
resources, some playing a progressive role, others (e.g., pollutions) being negative.
Pollutions of the seas violate their main resource
the quality determined by a
complex of indicators. The goal of the monitoring system is to
find opportunely the
critical situations when there is a possibility of rapid x ij
0.
The EES complexity is determined by the number
ʶ
of inputs and the number
ʲ
of outputs: L(
ʶ
,
ʲ
). Assume the hypothesis of additivity of the quality of the EES
complexity:
L ¼ X
K
L i ¼ if i b i ;
L i ;
i¼1
, that is, with an increase of the number of inputs of one sub-
system by unity, the sub-system
n ¼ ðf þ 1 Þ=f
'
s complexity increases
ʾ
times.
To decrease the model
'
s dimensionality, divide the modelled system into sub-
. Here
ʞ ck,l are the lowest-level sub-systems. Also, reduce the number of the model
systems E ¼
E k ¼ N kl ;
if
l ¼ 1
; ...;
L
g;
ð
k ¼ 1
; ...;
K
Þ;
E kj \ E ki for i 6 ¼ j
s
inputs. Introduce notations: X is the state of the system, {x} is the space of the state
of sub-systems, {x M } is the space of the state of the environment, x j is the vector
coordinate in the space of states: X ¼
'
. Each sub-system E k has
x 1 ; ...;
x j ; ...;
x M
a totality of properties of the functioning:
H; where w is the
regularity of the functioning E in certain conditions, a totality of partial descriptions
w h ¼
X ¼
w f ;
h ¼ 1
; ...;
. At an initial moment to a concrete realization w q of the
physical pattern corresponds the state of the sub-system x c ; t ; 0 ¼ x c1 ; ... ; x cy
w q ;
q ¼ 1
; ...;
Q h
and
. Application of this procedure
the state of the environment x m ; t ; 0 ¼ x M1 ; ... ; M d
makes it possible to simplify the model
'
s structure and to make its analysis easier.
9.5.2 Assessment of the State of the Ecologo-Economic
System
The state of the modelled system based on the logico-informational modeling is
assessed using the Boolean algebra. For economic and natural objects two possible
states are considered: normal functioning and the working regime bug (refusal of
the system
s functioning). The function Y of the state of EES depends on the
function of the state of its elements: Y = Y 1 ∀…∀
'
Y к . In other words, Y =0if
Y i k
{Y 1, , Y к }, Y i =0.
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