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and for any time period be
P
i
. Denoting the disaggregated precipitation for a subperiod
j
by
p
i,j
(
j
=1,…,
n; n
=number of subperiods) we obtain
(5.9)
Figure 5.3.
Average and disaggregated precipitations.
For simplicity coefficients
b
i,j
are introduced, such that
p
i,j
=
P
i
b
i,j
(5.10)
where
(5.11)
The coefficients
b
i,j
are generated randomly between zero and one. The Equations (5.9)
and (5.10) allow the quantity
p
i,j
to take any value from 0 to
P
i
. Whereas varying the
coefficient
b
i,j
over subperiods allows the possibility of different temporal distributions,
varying the coefficients over subbasins allows for different spatial distributions. Thus by
generating different values of
b
i,j
,
as many temporal patterns as are needed can be generated.
5.2.2
Precipitation uncertainty represented by a membership function
Let
P
i
be the accumulated precipitation forecasted for a subbasin
i
(
i
=1,...,
m; m
is the
number of subbasins) for a given period
T
. In the absence of enough information to
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