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where the equation is a number of t and from which it is possible to obtain the
variogram:
t
t
1
G
G
1
G
G
=
= =1
with
2
γ
(
h
'
)
(
R
(
x
,
ω
)
R
(
x
,
ω
)
h
'
x
x
j
j
t
t
i
k
k
i
l
1
l
*
γ
is adapted to the theoretical model
(
h
'
)
and the matrices [ Γ i,j ] and [ Γ o,i ]
'
)
*
γ .
are completed with the corresponding values of
(
)
7.2.3. Examples of mapping precipitation
After this short introduction to the theory that is associated with the spatial
distribution of precipitation the next part of this chapter will focus more on actual
case studies. These case studies are taken from recent research that has been carried
out by the University Sophia Antipolis in Nice, France. The university undertook
this research on behalf of the Algerian National Agency for Hydraulic Resources
[ASS 04]. The aim of this research was to create maps showing the monthly rainfall
totals for the period September 1965 to August 1995, in other words 360 maps
would be created. These maps would provide useful information that could be used
as input data in a model used to analyze rainfall and water levels.
Figure 7.5. The general characteristics of the study area, i.e. North Algeria
Northern Algeria is 1,100 km long (from the Algerian-Moroccan border through
to the Algerian-Tunisian border) and is 550 km wide (from the Mediterranean to the
Saharan Atlas Mountains). The mountains are very steep and face WSW-ENE,
meaning that there is a high level of precipitation anisotropy. Average annual
rainfall ranges from less than 100 mm to the south of the Atlas Mountains to more
than 500 mm in a large part of coastal areas, and exceeds 1,000 mm in Kabylie [1].
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