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u i þ X
i
u i ¼ u 1 þ 0
:
5
ð
s 1
ÞDu s ;
i ¼ 1
; ...;
N
;
s¼1
k j þ X
j
k j ¼ k 1 þ 0
:
ð
s 1
ÞDk s ;
j ¼ 1
; ...;
;
5
M
s¼1
The introduced grid of digitizing the territory enables one to create a universal
procedure of referencing to a given object
ʞ
under study by using the following
symbolic 2D arrays:
8
<
0
for
X IJ
62 N;
TERRITORY I
ðÞ ¼
;
1
for
X IJ 2 N S ;
:
2
for
X IJ 2 N W ;
where
ʞ W is part of the territory
under a hydrospheric object. The topological structure of the hydrospheric part of
the territory is described by the identi
N S [ N W ¼ N; N S is a part of the land territory;
er of the HYDROL(I, J) type in which the
possible con
gurations of different types of hydrospheric elements are described.
The HYDROL array permits to select a moving part of the water environment in the
territory
and to more accurately consider thereby the variability of water
chemistry, due to heterogeneous catchment areas.
To organize the numerical procedure of calculation of dynamic water
ʩ
fl
ows
between the cells
ʩ IJ, introduce an array of the heights above sea level:
0
when
X IJ 2 N W ;
TOPOGR ð I
;
J Þ ¼
x IJ when
X IJ 2 N S ;
ˉ IJ is the average height of the cell
ʩ IJ above sea level in meters.
where
ʩ IJ is characterized by a certain relationship between water basins, wild
and agricultural vegetation, urban constructions, and roads. The determination of this
relationship is made by a set of the following 2D arrays: PARTW I
Each cell
ð
;
J
;
TIME
Þ ¼
S IJ 2 0
Þ ¼ S IJ 2 0
½
;
1
is the part
ʩ IJ under water basins; PARTA I ; J ;
ð
TIME
½
;
1
is
Þ ¼ S IJ 2 0
the part
½ is the part
ʩ IJ under wild vegetation. The anthropogenic objects cover the remaining part of the
territory: S IJ ¼ 1 S IJ S IJ S IJ .
Each cell
ʩ IJ under cultural vegetation; PERTS I
ð
;
J
;
TIME
;
ʩ IJ is occupied by one of n types of vegetation and by one of m types
of cultural vegetation. The schemes of this occupation are presented with 2D arrays:
VEGETA (I,J,TIME) for agricultural vegetation, VEGETS (I,J,TIME) for wild
vegetation and ANTROP (I,J,TIME) for anthropogenic landscapes.
Water can be polluted through the atmosphere, washing-out from soil and
anthropogenic emissions directly into water reservoirs (common and industrial
sewage, leakages and discharges from ships). Information about these processes is
synthesized in the form of an identi
cation scheme TYPEC(I,J,TIME). Based on
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