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The influence of the prevailing weather situation on the temporal evolution and geographical distribution of intense rainfall is studied, as a potential tool to improve rainfall prediction. A classification scheme of the atmospheric circulation over the east Mediterranean territory is used for the analysis. The study area is the Sterea Hellas region (central Greece) with an area of about 25,000 km2. Daily data from 71 rain gages and hourly data from three rain recorders over a 20 year period are used. From these data sets, the intense rainfall events were extracted and analyzed. Several empirical and statistical methods (also including the available tools of a Geographical Information System) are used for the analysis and comparison of rainfall distribution both in time and in space. The analysis shows that the contribution of the concept of weather types to the quantitative point rainfall prediction in short timescale is small, and only the estimation of the probability of occurrence of an intense event is feasible. On the contrary, the relation between the spatial distribution of rainfall and the atmospheric circulation patterns is significant and may be used for improving the forecasting of the geographical distribution of rainfall.
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Influence of atmospheric circulation types in space - time
distribution of intense rainfall
Nikos Mamassis and Demetris Koutsoyiannis
Department of Water
Resources,
Faculty of Civil Engineering, National Technical University, Athens, Greece
Abstract. The influence of the prevailing weather situation on the temporal evolution and
geographical distribution of
intense
rainfall is studied, as a potential tool to improve rainfall
prediction. A classification scheme of the atmospheric circulation over the east Mediterranean
territory is used for the analysis. The study area is the Sterea Hellas region (central Greece)
with an area of about 25,000 km
2
. Daily data from
71
rain gages and hourly data from three
rain recorders over a 20 year period are used. From these data sets, the intense rainfall events
were extracted and analyzed. Several empirical and statistical methods (also including the
available tools of
a
Geographical Information System) are used for the analysis and comparison
of rainfall distribution both in time and in space. The analysis shows that the contribution of
the
concept of weather types to the quantitative point rainfall prediction in short timescale is small,
and only the estimation of
the
probability of occurrence of an intense event is feasible. On the
contrary, the relation between the spatial distribution of rainfall and the atmospheric circulation
patterns is significant and may be used for improving the forecasting of the geographical
distribution of rainfall.
1.
Introduction
The space-time evolution of
the
rainfall process is related to
the characteristics of the prevailing weather situation that
caused the rainfall. To study more effectively this relationship,
several researchers have classified similar weather situations
of particular regions into specific types. The classification
schemes generally fall into three main categories, each corre-
sponding to a different approach to the compilation of the
meteorological data and weather maps.
The first category includes the schemes that are based on
the combination of the different value ranges of several local
meteorological variables. McCabe [1989] separated the range
of wind direction into three classes and the range of cloudiness
values into two classes. Combining these classes, he defined
six weather types, which were used by Hay et al. [1991] for
the classification, modeling, and simulation of daily rainfall in
a watershed in the United States. Wilson et al. [1991] used
surface air pressure and 850-hPa level temperature to classify
and simulate daily rainfall in the northern Pacific. McCabe
[1994] used height anomalies (in meters) for the 700-hPa
level, to represent atmospheric circulation of the western
United States, and relate that to the variability of the snow-
pack accumulation. Hughes and Guttorp [1994] used sea
air pressure over a wide area larger than Europe. This scheme
was based on a timescale of several days (at least three) con-
sidering that the main features of weather across Europe
remain constant during one time step of that length. Bardossy
and Plate
[1991,
1992] used this scheme for daily rainfall
modeling and simulation in Germany. Following the scheme
ofBauretal.
[1944],
Duckstein et
al.
[1993] developed a cir-
culation pattern classification scheme for the continental
United States and used it to relate flood occurrence in central
Arizona to circulation patterns. Schuepp [1968] developed a
weather classification scheme for the European Alpine region,
based on the airmass advection (related to source areas), tem-
perature characteristics, and cyclonicity. This scheme was
used for the study of daily runoff in northern Italy by Van de
Gried and Seyhan [1984]. Lamb [1950, 1972] defined a clas-
sification scheme of atmospheric circulation for the British
Isles,
based on the specific patterns in weather maps of the
surface and the 500-hPa level. Wilby [1994] used Lamp's
scheme to simulate circulation patterns and hence daily rain-
fall in England and
Wilby
et
al.
[1994] to simulate daily flows.
Wilby [1995] used the same scheme to study and model daily
rainfall in England by incorporating also in the classification
the presence or absence of weather fronts. Maheras
[
1982],
based on the Lamb [1972] method, introduced a classification
scheme of atmospheric circulation over the East Mediterra-
nean territory. This scheme was used by Mamassis and Kout-
soyiannis [1993] and Mamassis et al: [1994] for the analysis
of intense rainfall and flood events in Greece and was also
adopted in this study. Details of this classification scheme are
given in section 3.
Weather classifications may be viewed as a systematization
of meteorological experience in a particular region. Obviously,
there is a relationship between the geographical characteristics
of a particular area (such as the geographical location, the
relative position with regard to the sea, the orography), and the
climatological regime in this area. This relation may be cap-
tured empirically by using weather types and studying their
influence on hydrometeorological processes. This approach
can potentially be combined in a complementary way with the
outputs of general circulation models (GCM) in order to
downscale these ouputs to a finer spatial scale, localized to the
specific area of interest. In particular, the empirical study of
the relationship between weather types and the rainfall process
in a specific area may be useful to translate the synoptic con-
ditions used to define the weather types, into quantitative
information about rainfall. If
such
a relationship can indeed be
established, it will improve rainfall prediction on a local scale.
With regard to these aspects, research was recently carried out
daily rainfall fields and process them statistically. Similar
studies have typically used multivariate models for that pur-
pose.
This paper is outlined as follows: In section 2 the study
area and the available data sets are described and in section 3
the weather type classification scheme is presented. In section
4 the point rainfall process on an hourly basis as well as the
total storm characteristics of intense rainfall events are
studied. In section 5 the methodology of analyzing the spatial
distribution of rainfall using a grid-based technique is
described. Finally, the conclusions are presented in section 6.
2.
Study Area and Data Used
The study area is the Sterea Hellas region (central Greece)
with an area of approximately 25,000 km
2
(about one fifth of
the total area of Greece, Figure 1). This region includes five
important and many smaller rivers. One of
them
(the Acheloos
River) is the largest river (in discharge) in Greece providing
water for irrigation and hydropower. Three others (Evinos,
Momos, B. Kifissos) provide water supply to the area of
Athens. The Pindus mountain chain on the west side of this
region causes heavy orographic rainfall and therefore a wetter
rainfall regime, as compared to that of the east side. Thus the
annual rainfall varies from about 2000 mm in the north-
western part of the region to about 400 mm in the southeastern
part (Athens).
Daily rainfall data from
71
rain gages over the entire region
and hourly rainfall data from three of
them
equipped with rain
recorders (Krikello, Aniada, Drymonas, located at the Evinos
River basin) were available for a 20 year period (1970-1990).
Figure 1 shows the general location of the study area, its
morphology, and the available rain gages.
From the continuous records we have extracted and studied
only the intense rainfall events. Intense rainfall has the most
practical interest as it is responsible for extreme floods in the
study area. From the hourly point rainfall data sets the intense
rainfall events were extracted using a criterion based on a
threshold of hourly rainfall (above 7 mm) or daily rainfall
(above 25 mm). Analysis was performed on the data of all the
three rain-recording stations mentioned above, but here we
present the results from one of
them
(Krikello), as those of the
other stations were very similar. The intense rainfall events
were separated into rainy (October to April) and dry (May to
September) season events. In total, 200 events belong to the
rainy and 93 events to the dry season.
For the daily data sets of the 71 gages the intense rainfall
days were extracted using a criterion based on a threshold of
centers of the anticyclones, (2) the main trajectories of the
cyclones, and (3) some special synoptic situations at the sur-
face and at the 500-hPa level.
According to this scheme the circulation patterns of
the
ter-
ritory were classified into five anticyclonic, six cyclonic, two
mixed, and three characteristic weather types [Maheras,
1982].
Table 1 shows a summary description of the above
weather types. Figure 2 shows the main trajectories of the six
cyclonic weather types which are responsible for bad weather
and produce the main amount of rainfall in the study area. In
four of them (Wl, SW1, NW1, W2) the disturbance passes
near the study area and provokes intense rainfalls, especially
on the west side of the area where the Pindus mountain chain
lies.
The SW1 and NW1 weather types are very common in
Greece especially in the rainy season and have a significant
influence on the annual rainfall regime of the study area. In
the other two cyclonic types the disturbance passes a long
distance away from the study area and the generation of
intense rainfall is rare. Especially for the SW2 weather type,
the trajectory of the cyclone passes through the Aegean Sea
and is often responsible for intense rainfall on the eastern side
of
the
study area.
Figure 3 shows a weather map of the 500-hPa level corre-
sponding to the weather type DOR. The presence of a cold air
mass at this level above Greece combined with a field of low
pressures with a weak gradient on the surface is typical for
this weather type. This weather situation has a high frequency
of occurrence in the dry season and causes atmospheric insta-
bility and intense convective rainfall at several sites in Greece
without a typical areal distribution.
Table 1
Figure 2
Figure 3
4.
Influence of Weather Types to Point Rainfall
In this section we use statistical methods to detect whether
the prevailing weather type affects the point rainfall charac-
teristics or not. More specifically, we examine the probability
of occurrence of intense rainfall, the total duration and depth,
and the hourly point rainfall structure and compare statisti-
cally these characteristics among different weather types.
The conditional probability of occurrence of an intense
rainfall event, given the prevailing weather type, was calcu-
lated using the Krikello data set and the daily calendar of
weather types. Table 2 shows this probability for each weather
type and Figure 4 for grouped weather types. To examine if
there are statistically significant differences in probabilities
(proportions of rainy days to the total number of days) among
weather types, we have applied the proportion statistical test
[Freund and Simon 1991 pp 386-388] The analysis shows
Table 2
Figure 4
the dry season the differences in the duration and total depth
among the various weather types are statistically significant
(at a 1% significance level) almost in all cases. However, in a
more quantitative point of view these differences are not so
important, as they explain a small percentage of variance of
these characteristics. Specifically, as shown in Table 4, the
percentage of variance explained by weather types for the
various characteristics varies from 3% to 7% for the rainy sea-
son and from 8% to 18% for the dry season.
Furthermore, we have calculated the marginal statistics
(mean and standard deviation), as well as the autocorrelation
function of hourly depths, which are shown in Table 3 for the
different weather types. No statistically significant differences
in the hourly depth are detected among different weather
types.
Hence only
1 %
of the variance of the hourly depth is
explained by the weather type concept for the rainy season and
2%
for the dry season (Table 4). Finally, there are no statisti-
cally significant differences on the autocorrelation function of
hourly depths among weather types, but there are differences
between the two seasons (Table 3). The atmospheric instabil-
ity which characterizes the rainy days of the dry season
explains the strong variability of rainfall which leads to a
weaker autocorrelation function of hourly depth on this sea-
son.
Table 3
Table 4
5. Influence of Weather Types to the Geographic
Distribution of Rainfall
In this section we examine the geographical distribution of
rainfall on a daily basis using a grid-based approach. The
daily data values were stored and analyzed using a GIS. For
each intense rainfall day the measured values of point rainfall
were used to determine a representative precipitation depth at
all grid cells of the study area. The algorithm used consists of
the following steps [Dingman, 1994]: (1) A grid covering the
study area is established. The grid spacing depends on the
analyst but is usually about one tenth of the average distance
between rain gages. In this study, the average distance
between the rain gages was about 19 km and thus the grid
spacing was chosen as 2 km. (2) Values of precipitation at
each grid cell are estimated as linear combinations of the
measured values, that is,
(1)
where
/>,
is the estimated precipitation at the ith grid cell,
p
%
is
the measured precipitation at station g, and w
Ig
is the weight
tional Thiessen method. In this study the IDW method, which
combines simplicity, availability in the GIS, and preservation
of the measured point values, was selected for estimating the
weights w
lg
. Another advantage of the IDW method is that it
does not require the rainfall field to be spatially homogeneous,
as it simply performs a local linear estimation. This feature is
very important in our case, where there exist apparent spatial
inhomogeneities in the rainfall characteristics over the study
area. On the contrary, the kriging method typically makes the
assumption of a constant semivariogram over the entire area,
which is not strictly valid in our case.
We remind that in the IDW method the weights w
ig
are a
function of the distance between each of the grid cells and
each of the rain gage locations, given by
where d(i, g) is the distance between the grid cell /' and the
gage g, G is the total number of gages, and b is a chosen
parameter, usually assigned to
1
or 2. In the case where a grid
cell is also a gage location, the rain depth assigned to this cell
is the value measured by the gage and the weights for the
other gages become zero.
The grid-based approach described above, which is based
on the fitting of a surface to point data, has some advantages
when compared to other methods, such as the multivariate
analysis. For example, it does not require filling of missing
data in order to fit a surface and offers a better understanding
and visualization of the rainfall field (e.g., localization of
regions with specific characteristics). Also, the approach
allows for the calculation of statistical surfaces instead of
point statistics, as described later in this section. The rainfall
surfaces can be combined with geographical, geological, and
land use surfaces for rainfall-runoff modeling. An apparent
weakness of
the
approach is that in most grid cells the rainfall
values are estimates rather than measurements, which obvi-
ously introduces errors in the field representation.
The analysis was performed only for the rainy season due to
the small number of intense rainfall days in the dry season.
Several methods were used for the analysis and comparison of
the rainfall spatial distribution.
As a first step, the rainfall fields in each weather type were
plotted using an appropriate color or gray scale, thus visual-
izing the spatial rainfall distribution. This assists the localiza-
tion of areas attracting intense rainfall. Then, the statistical
f ( dd dii ffii f rii) f
provokes intense rainfall in the eastern side of the study area.
In mixed types the combination of an anticyclone over Europe
and a cyclone over the Aegean Sea (Table 1) provokes bad
weather and rainfall in the eastern part of our study area, and
especially in the northern Evia. In the remaining types,
including all the anticyclonic and dry types, the few intense
rainfall events are related to the local atmospheric instability,
and hence no typical spatial distribution appears.
Furthermore, the correlation coefficients among all the
rainfall surfaces of
the
same weather type were calculated, and
their empirical distribution function was studied. Figure 7
shows the sample characteristics (median, maximum and
minimum value, and upper and lower quartile) of correlation
coefficients for each weather type. The majority of
the
correla-
tion coefficients are positive for all weather types. That means
that different intense rainfall events of the same weather type
are positively correlated in space. This indicates a similarity in
the spatial distribution of different rainfall events belonging to
the same weather type. Notably, as shown in Figure 7, all cor-
relation coefficients of the events of the Wl type are positive,
and most of
the
others have their lower quartile positive. There
are two exceptions, related to the types NW1 and SW2, whose
lower quartiles are negative and ranges of the correlation
coefficients are wider, thus indicating larger spatial variability
of rainfall. Yet, the median remains significantly higher than
zero for both types. In addition, as we observe in Figure 6, the
rainfall produced by these two weather types is generally
attracted at certain locations of the study area, as NW1 causes
heavy rainfall in the western part and SW2 in the eastern part
of
the
study area. For comparison we have plotted in Figure 7
(last box) a box plot of the sample correlation coefficients of
all events, regardless of the prevailing weather type. We
observe that in this case the range of
the
correlation coefficient
covers almost all the feasible interval [-1, 1]. The positive
median (0.15) reflects the inhomogeneity of the general rain-
fall regime in the study area, with higher rainfall in the Pindus
mountain chain.
As another technique to quantify the influence of weather
types on the rainfall distribution, apart from the grid-based
analysis described above, we also performed an analysis based
on the separation of the study area into subareas. Specifically,
we have separated the study area into 10 subareas (Figure 1)
climatically homogeneous, considering also the borders of
hydrologic basins for the separation. The statistics of the areal
rainfall of each subarea and each weather type were calcu-
lated. The mean daily rainfall per subarea and weather type is
presented in Table 5. We observe in Table 5 that each weather
type affects a nubr of neighboring subareas and each
Figure 7
Table 5
rainfall depth (more than 20% in 7 out of 10 subareas) is
explained by the concept of weather type. The values of the
explained variance given in Table 6 are not negligible like
those of hourly depth (Table 4). This may be interpreted as an
indication that the influence of the weather type on rainfall
depth increases with the increase of
the
timescale (from hourly
in Table 4 to daily in Table 6). To get a more solid under-
standing of the influence of timescale to the percentage of
variance explained by weather types, we aggregated the
Krikello hourly point rainfall depths of the rainy season to 6-,
12-,
and 24-hour timescales and we performed analysis of
variance for each scale. The analysis showed that the percent-
age of explained variance has a very small increase with the
increase of the timescale. Specifically, the percentages are
1.0%, 2.3%, 2.9%, and 3.9% for 1, 6, 12, and 24 hours,
respectively.
Thus the increase of timescale does not explain much of the
difference between the results of Table 4 and Table 6. Conse-
quently, the major part of this difference is explained by the
different criteria used for extracting the intense rainfall events
in the two cases. In the first case (Table 4), the selection of
events was based on the value of rainfall intensity or depth at
a point location, whereas in the second case (Table 6), the
selection was based on the magnitude of the rainfall depth at
any point of the study area. The data set of the second case
includes events that did not give rainfall at all at the point
location of the first case (Krikello). It is anticipated that, if
every event was considered, regardless of the rainfall magni-
tude (i.e., without a selection criterion), the percentage of vari-
ance explained by weather types would be even higher, as the
anticyclonic types would have a larger participation in the
sample. The apparent dissimilarities of anticyclonic and
cyclonic weather types would affect further the results of
analysis of variance. This is the case, for example, in the study
of Bardossy and Plate
[1991,
1992], where all events are
considered and the connection between rainfall and circulation
patterns is quite stronger.
6. Conclusions
In this study we have explored the connection between the
structure of intense rainfall in space and time and the atmo-
spheric circulation patterns in a large area in Greece. In the
analyses performed, we have used records (in hourly through
daily timescale) of intense rainfall events, in order to investi-
gate whether weather types can contribute to the prediction of
flood-producing storms.
The analysis of point rainfall characteristics shows that
weather types and the physiographical characteristics of the
study area.
Overall, the analysis shows that the contribution of the con-
cept of weather types to the quantitative rainfall prediction in
short timescales is small, but the estimation of the probability
of occurrence of an intense event is feasible. On the contrary,
the strong relation between the spatial distribution of rainfall
and the atmospheric circulation patterns may be used for
improving the forecast of the geographical distribution of
rainfall.
Acknowledgments. A part of this study was performed under the
framework of
the
research project AFOR1SM funded by the European
Union, DG XII (EPOC-CT90-0023). We are grateful to P. Maheras
for providing us with the daily calendar of weather types. We thank
A. Kazakos for the English review. We appreciate the constructive
comments by the Guest Editor E. Foufoula-Georgiou and two anony-
mous reviewers. Computer resources and precipitation data were pro-
vided by the Hydroscope Hydrometeorological Database System of the
National Technical University of Athens.
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D.
Koutsoyiannis and N. Mamassis, Department of Water
Resources, Faculty of Civil Engineering, National Technical Univer-
sity, Heroon Polytechniou 5, Zogragou, GR-157 80, Greece, (e-mail:
dk@hydro.civil.ntua.gr, nikos@hydro.civil.ntua.gr)
(Received October
27,
1995; revised April 15, 1996;
accepted April 25, 1996.)
Copyright 1996 by the American Geophysical Union
Paper number 96JD01377.
0148-0227/96/96JD-O1377S09.0O
Table 1. Summary Description of Weather Types
Main Category Abbreviation
Description of circulation
location of center in western Europe or northern Atlantic
location of center in Russian or Siberian region
location of center in Balkan region
location of center in eastern Mediterranean
location of center in western Mediterranean and northern Africa
cyclone passes from the Balkans over
45°
latitude
cyclone passes through Greece below
45°
latitude
cyclone originates from western Mediterranean or northwestern Europe and passes through Greece
cyclone circulates from Scandinavia to Black Sea
cyclone passes to the west of the line Malta - western Macedonia - Ukraine
cyclone passes to the east of the line Malta - western Macedonia - Ukraine
presence of an anticyclone over the central-northern Europe and a cyclone over Black sea;
isobars at surface have meridional arrangement
presence of an anticyclone over the central - northern Europe and a cyclone over eastern
Mediterranean or Aegean sea; isobars in surface have no specific arrangement
special combination between low pressure in southeastern Asia and very weak gradient in Balkans
(dry type)
very weak pressure gradient over Greece
presence of a cold air mass at the 500-hPa level above Greece
Continental
anticyclones
Maritime
anticyclones
Cyclones with
zonal orbit
Cyclones with
meridional orbit
Mixed types
Al
A2
A3
A4
A5
Wl
W2
NWl
NW2
SWl
SW2
MT1
MT2
Characteristic
types (special,
mostly dry
period types)
DES
MB
DOR
Table 2. Probability of Occurrence of Intense Point Rainfall
Events, Conditional on the Prevailing Weather Type
Rainy Season
Dry Season
Weather Total Number Prob- Total Number Prob-
Type Number of ability Number of ability
of
Days
Intense of of Days Intense of
Rainfall Occur- Rainfall Occur-
Days rence, % Days rence, %
Al
A2
A3
A4
A5
Wl
W2
NWl
NW2
SWl
SW2
MT1
MT2
346
372
199
146
101
155
123
571
266
615
215
149
278
1
1
0
0
0
15
17
63
14
71
14
0
0
0.3
0.3
0.0
0.0
0.0
9.7
13.8
11.0
5.3
11.5
6.5
0.0
0.0
237
268
161
67
13
155
4
36
268
238
48
91
4
0
0
0
0
0
4
1
4
9
14
2
4
0
0.0
0.0
0.0
0.0
0.0
2.6
25.0
11.1
3.4
5.9
4.2
4.4
0.0
Table 3. Statistics of Hourly Depth
12
Weather
Type
SW1
SW2
NW1
NW2
Wl
W2
Rainy Period
Mean Value,
mm
1.8
1.2
1.6
2.0
1.5
2.0
Standard
Deviation, mm
2.6
1.9
2.2
2.6
2.0
3.5
Lag
1
Auto-
correlation
0.55
0.54
0.55
0.58
0.38
0.56
Weather
Type
SW1.SW2,
W1.W2
NW1.NW2
DOR
Rest
Mean Va
mm
2.0
3.6
3.2
3.4
Dry Period
ue,
Standard
Deviation, mm
3.7
6.1
5.5
4.9
Lag
1
Auto-
correlation
0.44
0.20
-0.03
0.01
Table 4. Percentage of Variance in Point Intense Rainfall
Characteristics Explained by Weather Types
Variable
Rainy Season Dry Season
Duration
Total depth
Mean intensity
Hourly depth
7%
3%
7%
1%
18%
18%
8%
2%
Table 5. Mean Daily Depth of Intense Rainfall Days (mm) for Each Subarea and Each Weather Type
Subarea
Lefkada
Upper Acheloos
Lower Acheloos
Mornos-Evinos
Sperchios
Biotilcos Kifissos
Assopos
Athens
Evia
Slcyros
Total area
Number of events
Wl
13.9
16.4
32.8
25.1
12.2
4.2
0.9
0.6
0.7
0.6
12.4
18
W2
21.2
23.1
29.8
27.6
15.6
8.4
4.3
3.6
4.1
9.1
15.3
23
SW1
22.6
24.0
33.7
25.5
15.2
7.4
3.6
3.9
3.7
2.7
15.5
88
Weather Type
SW2
8.7
7.5
13.4
13.7
19.5
19.7
15.9
15.5
25.0
9.1
16.4
28
NW1
16.9
16.9
25.9
22.8
19.7
14.9
9.4
9.4
12.4
7.2
17.0
96
NW2
12.3
14.0
13.8
17.6
6.7
4.0
2.1
1.5
3.3
4.3
8.1
10
MT1,2
2.1
2.2
5.3
5.4
14.6
18.2
13.9
12.0
36.5
7.0
13.8
41
Rest
2.6
3.2
3.2
5.9
4.6
2.9
0.5
0.3
0.9
0.8
2.6
12
Table 6. Percentage of Variance of Areal Daily Intense
Rainfall Explained by Weather Types
Subarea Percentage, % Subarea Percentage, %
Lefkada
24.8
B.
Kifissos 21.8
Figure Captions
Figure 1. Study area: (a) morphology, (b) separated subareas
and rain gages (with the Krikello rainrecorder being the trian-
gle),
(c) general location.
Figure 2. Main trajectories of cyclonic weather types.
Figure 3. Map of the 500 hPa level of the event of July 7,
1970 06 00 UT.
Figure 4. Probability of occurrence of intense rainfall events
per group of weather types: (a) Groups of rainy period (A:
Wl,
W2,
NWl, SWl;
B:
SW2, NW2; C: MT2, DOR; D: Al-
A5,
MTl, DES, MB); (b) Groups of dry season (A: W2,
NWl, DOR; B: SWl, SW2; C: Wl, NW2, MTl, DES, MB;
D:
A1-A5.MT2).
Figure 5. Box plots of rainfall event characteristics at
Krikello: (a) duration, (b) total depth, and (c) mean intensity.
The middle line of
each
box represents the median, the bottom
and top lines represent the lower and the upper quartile, and
the whiskers represent the minimum and maximum observed
values.
Figure 6. Statistical surfaces of weather types. First column,
mean (mm); second column, standard deviation (mm); third
column, coefficient of variation.
Figure 7. Box plots of computed correlation coefficients
between rainfall fields per weather type. The middle line of
each box represents the median, the bottom and top lines
represent the lower and the upper quartile, and the whiskers
represent the minimum and maximum observed values.
Figure 1. Study area: (a) morphology, (b) separated subareas and rain gages (with the Krikello rainrecorder
being the triangle), (c) general location.
Figure 2. Main trajectories of cyclonic weather types.
Figure 3. Map of the 500 hPa level of
the
event of July 7, 1970 06 00 UT.
Figure 4. Probability of occurrence of intense rainfall events per group of weather types: (a) Groups of rainy
period (A: Wl, W2, NWl, SWl; B: SW2, NW2; C: MT2, DOR; D: A1-A5, MTl, DES, MB); (b) Groups of
dry season (A:
W2,
NWl, DOR; B: SWl, SW2; C: Wl, NW2, MTl, DES, MB; D: A1-A5, MT2).
Figure 5. Box plots of rainfall event characteristics at Krikello: (a) duration, (b) total depth, and (c) mean
intensity The middle line of
each
box represents the median the bottom and top lines represent the lower and
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... This combined analysis provides a reference for assessing the space-time dimensions of climate change in the future, both over part of the Mediterranean-Sahara transition and over a strategic mountainous region. The influence of relief on the circulation of wet air masses is identified (Mamassis & Koutsoyiannis, 1996;Romero et al., 1999;Xoplaki et al., 2004;Lionello et al., 2006;López-Moreno et al., 2007), and it is shown that changes in trajectories may lead to major spatio-temporal redistribution of rainfall, with many complex effects in the downscaling of the general regional projected rainfall decrease (de Wit & Stankiewicz, 2006;Christensen et al., 2007). Furthermore, changes in snow-dominated regimes appear to be a crucial issue (Christensen et al., 2007;Rosenzweig et al., 2007), given the influence of snow on water resources in several Mediterranean areas such as Lebanon (Aouad-Rizk et al., 2005;Corbane et al., 2005;Hreiche et al., 2007), Turkey (Tekeli et al., 2005), Spain (López-Moreno, 2004) and Morocco (Chaponnière et al., 2007). ...
... Through diachronic use, they could help towards the identification of complex aspects of climate change. The spatio-temporal organization of meteorological and climatic driving forces is a determinant for hydrological responses (Mamassis & Koutsoyiannis, 1996;Bull et al., 2000;Camarasa & Tilford, 2002;Arnaud et al., 2002;Neppel et al., 2003;Bargaoui & Chechoub, 2004;Gaume et al., 2004;Cudennec et al., 2005;McIntyre et al., 2007), mainly via the way in which the river basin structure is stimulated (Cudennec, 2007;Moussa, 2007). Furthermore, multi-site analyses of statistical distributions provide a decisive additional frequency dimension (De Luis et al., 2000;Bayazit & Onöz, 2005;Dominguez Mora et al., 2005;Pujol et al., 2007). ...
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Dryland hydrology in Mediterranean regions - a review
... Michaelides et al. [3] dealt with the measurement, remote sensing, climatology and modelling of precipitation in their study. In a good number of studies, different interpolation methods such as kriging and inverse distance weighting (IDW) were either utilized or compared for the estimation of rainfall distribution [10][11][12][13][14][15][16][17][18][19]. ...
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Porsuk River Basin, located in the Central Anatolia, Turkey, has a drainage area of 10818.41 km2 and a total length of 460 km, which makes it a significant region for a variety of hydrological and hydropower studies. Therefore, it is necessary to determine the rainfall distribution over the basin so that related projects and processes, such as dam planning works, can be properly performed. To fulfil this aim, the meteorological data gauged between 1927-2015 by 15 different stations within and around the study area were used to perform interpolation functions with three widely known spatial distribution methods, namely Thiessen Polygons (TP), Spline (SP) and Inverse Distance Weighting (IDW), for the determination of the rainfall distribution. Moreover, the reliability of these methods was also evaluated and compared in terms of their Mean Absolute Error (MAE), Mean Square Error (MSE), Root Mean Square Error (RMSE) and Correlation Coefficient (R2) values. The results revealed that IDW method, in general, was the most appropriate option for Porsuk River Basin in comparison with SP and TP methods, as MAE, MSE, RMSE and R2 values of this method was found 33.359, 1710.385, 41.357 and 0.7118 respectively. However, TP displayed smoother results at the points where the rain gauges were closer to each other or dense.
... Advancing the implementation of machine-learning regression algorithms by conducting large-sample (and in-depth) hydrological investigations has been gaining prominence recently (see, e.g., references [42][43][44][45][46]), perhaps following a more general tendency for embracing large-scale hydrological analyses and model evaluations (see, e.g., references [47][48][49][50][51]). The key significance of such studies in improving the modelling of hydrological phenomena, especially when the modelling is data-driven, has been emphasized by several experts in the field (see, e.g., references [16,[52][53][54][55]). ...
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We conduct a large-scale benchmark experiment aiming to advance the use of machine-learning quantile regression algorithms for probabilistic hydrological post-processing “at scale” within operational contexts. The experiment is set up using 34-year-long daily time series of precipitation, temperature, evapotranspiration and streamflow for 511 catchments over the contiguous United States. Point hydrological predictions are obtained using the Génie Rural à 4 paramètres Journalier (GR4J) hydrological model and exploited as predictor variables within quantile regression settings. Six machine-learning quantile regression algorithms and their equal-weight combiner are applied to predict conditional quantiles of the hydrological model errors. The individual algorithms are quantile regression, generalized random forests for quantile regression, generalized random forests for quantile regression emulating quantile regression forests, gradient boosting machine, model-based boosting with linear models as base learners and quantile regression neural networks. The conditional quantiles of the hydrological model errors are transformed to conditional quantiles of daily streamflow, which are finally assessed using proper performance scores and benchmarking. The assessment concerns various levels of predictive quantiles and central prediction intervals, while it is made both independently of the flow magnitude and conditional upon this magnitude. Key aspects of the developed methodological framework are highlighted, and practical recommendations are formulated. In technical hydro-meteorological applications, the algorithms should be applied preferably in a way that maximizes the benefits and reduces the risks from their use. This can be achieved by (i) combining algorithms (e.g., by averaging their predictions) and (ii) integrating algorithms within systematic frameworks (i.e., by using the algorithms according to their identified skills), as our large-scale results point out.
... Machine-learning (or statistical learning) regression algorithms (see e.g., Hastie et al. 2009;Alpaydin 2010;James et al. 2013;Witten et al. 2017) are regularly implemented in the hydrological literature for solving a vast amount of technical problems, and for building confidence in predictive and explanatory modelling (see e.g., Jayawardena and Fernando 1998;Sivakumar et al. 2002;Koutsoyiannis et al. 2008;Sivakumar and Berndtsson 2010;Papacharalampous et al. 2018c;Quilty et al. 2019;Tyralis et al. 2019c). Advancing the implementation of machine-learning regression algorithms by conducting large-sample (and in-depth) hydrological investigations has been gaining prominence recently (see e.g., Tyralis and Papacharalampous 2017;Xu et al. 2018;Papacharalampous et al. 2019a,c;), perhaps following a more general tendency for embracing large-scale hydrological analyses and model evaluations (see e.g., Mamassis and Koutsoyiannis 1996;Perrin et al. 2001Perrin et al. , 2003Mouelhi et al. 2006;Langousis et al. 2016;Papalexiou and Koutsoyiannis 2016;Papacharalampous et al. 2018b;Sivakumar et al. 2019). The key significance of such studies in improving the modelling of hydrological phenomena, especially when the modelling is data-driven, has been emphasized by several experts in the field (see e.g. ...
Preprint
Full-text available
We conduct a large-scale benchmark experiment aiming to advance the use of machine-learning quantile regression algorithms for probabilistic hydrological post-processing "at scale" within operational contexts. The experiment is set up using 34-year-long daily time series of precipitation, temperature, evapotranspiration and streamflow for 501 catchments over the contiguous United States. Point hydrological predictions are obtained using the GR4J hydrological model and exploited as predictor variables within quantile regression settings. Six machine-learning quantile regression algorithms and their equal-weight combiner are applied to predict conditional quantiles of the hydrological model errors. The individual algorithms are quantile regression, generalized random forests for quantile regression, generalized random forests for quantile regression emulating quantile regression forests, gradient boosting machine, model-based boosting with linear models as base learners and quantile regression neural networks. The conditional quantiles of the hydrological model errors are transformed to conditional quantiles of daily streamflow, which are finally assessed using proper performance scores and benchmarking. The assessment concerns various levels of predictive quantiles and central prediction intervals, while it is made both independently of the flow magnitude and conditional upon this magnitude. Key aspects of the developed methodological framework are highlighted and practical recommendations are formulated. In technical hydro-meteorological applications, the algorithms should be applied preferably in a way that maximizes the benefits and reduces the risks from their use. This can be achieved by (i) combining algorithms (e.g., by averaging their predictions) and (ii) integrating algorithms within systematic frameworks (i.e., by using the algorithms according to their identified skills), as our large-scale results point out.
... o The comparison is performed within a large-sample study. Such studies are the only mean for revealing the properties of black box models, while they are increasingly conducted in the hydrological literature (see e.g., Langousis et al. 2016;Mamassis and Koutsoyiannis 1996;Papacharalampous et al. 2018Papacharalampous et al. , 2019aTyralis and Papacharalampous 2017;Tyralis et al. 2019;Xu et al. 2018). ...
Data
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Quantification of predictive uncertainty in hydrological modelling is often made by post-processing point hydrological predictions using regression models. We perform an extensive comparison of machine learning algorithms in obtaining quantile predictions of daily streamflow under this specific approach. The comparison is performed using a large amount of real-world data retrieved from the Catchment Attributes and MEteorology for Large sample Studies (CAMELS) dataset. Various climate types are well-represented by the examined catchments. The point predictions are obtained using the GR4J model, a lumped conceptual hydrological model comprising of four parameters, while their post-processing is made by predicting conditional quantiles of the hydrological model’s errors. The latter are transformed to conditional quantiles of daily streamflow and finally assessed by using various performance metrics. The machine learning regression algorithms are also benchmarked against the quantile regression algorithm.
... o The comparison is performed within a large-sample study. Such studies are the only mean for revealing the properties of black box models, while they are increasingly conducted in the hydrological literature (see e.g., Langousis et al. 2016;Mamassis and Koutsoyiannis 1996;Papacharalampous et al. 2018Papacharalampous et al. , 2019aTyralis and Papacharalampous 2017;Tyralis et al. 2019;Xu et al. 2018). o We estimate daily potential evapotranspiration using the formula by Oudin et al. (2005) and temperature data. ...
Presentation
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Quantification of predictive uncertainty in hydrological modelling is often made by post-processing point hydrological predictions using regression models. We perform an extensive comparison of machine learning algorithms in obtaining quantile predictions of daily streamflow under this specific approach. The comparison is performed using a large amount of real-world data retrieved from the Catchment Attributes and MEteorology for Large sample Studies (CAMELS) dataset. Various climate types are well-represented by the examined catchments. The point predictions are obtained using the GR4J model, a lumped conceptual hydrological model comprising of four parameters, while their post-processing is made by predicting conditional quantiles of the hydrological model’s errors. The latter are transformed to conditional quantiles of daily streamflow and finally assessed by using various performance metrics. The machine learning regression algorithms are also benchmarked against the quantile regression algorithm.
... Storms have been shown to cause higher sediment fluxes directly into the Corinth basin; for example, Heezen et al. (1966) directly correlated breaks in submarine telephone cables that ran along the southern Gulf of Corinth continental slope to submarine landslides directly related to storms. Similarly, Mamassis and Koutsoyiannis (1996) explained that intense storms are associated with summer periods for the modern Greek system. Therefore, although water discharge has relatively little significance in the BQART equation, the variance in water discharge may be taken into account by temperature because increased variability in precipitation increases with higher temperature (cf. ...
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Sediment supply is a fundamental control on the stratigraphic record. However, a key question is the extent to which climate affects sediment fluxes in time and space. To address this question, estimates of sediment fluxes can be compared with measured sediment volumes within a closed basin that has well-constrained tectonic boundary conditions and well-documented climate variability. The Corinth rift, central Greece, is one of the most actively extending basins on Earth, with modern-day GPS extension rates of up to 15 mm/yr. The Gulf of Corinth forms a closed system, and since ca. 600 ka, the gulf has fluctuated between marine and lacustrine. We estimated suspended sediment fluxes for rivers draining into the Gulf of Corinth using the empirically derived BQART method over the last interglacial-glacial-interglacial cycle (0–130 k.y.). Modern temperature and precipitation data sets, Last Glacial Maximum reconstructions, and paleoclimate proxy insights were used to constrain model inputs. Simultaneously, we exploited high-resolution two-dimensional seismic surveys to interpret three seismic units from 130 ka to present, and we used these data to derive an independent time series of basin sedimentary volumes to compare with our sediment input flux estimates. Our results predict total Holocene sediment fluxes into the Gulf of Corinth of between 19.2 km3 and 23.4 km3, with a preferred estimate of 21.3 km3. This value is a factor of 1.6 less than the measured Holocene sediment volume in the central depocenters, even without taking lithological factors into account, suggesting that the BQART method provides plausible estimates. Sediment fluxes vary spatially around the gulf, and we used them to derive minimum catchment-averaged denudation rates of 0.18–0.55 mm/yr. Significantly, our time series of basin sedimentary volumes demonstrate a clear reduction in sediment accumulation rates during the last glacial period compared to the current interglacial. This implies that Holocene sediment fluxes must have increased relative to Late Pleistocene times. Furthermore, BQART-derived sediment flux predictions indicate a 28% reduction in supply during the last glacial period compared to the Holocene; likewise, seismic sediment accumulation rate estimates indicate a similar magnitude of reduction (32%). At the Last Glacial Maximum, mean annual temperatures in the region were lower by 5 °C, but mean annual precipitation rates were broadly similar. We hypothesize that although weathering rates might be greater under glacial conditions, warmer interglacial temperatures may be more conducive to generating larger storms, which do more geomorphic work, driving greater sediment fluxes. Our results demonstrate that sediment export to the basin is sensitive to glacial-interglacial cycles, and we explore the potential mechanisms behind this sensitivity.
... Generally, flood phenomena are caused by intense rainstorms that are produced by the passage of depressions, possibly accompanied by cold fronts, typically approaching from west. Convectional weather types (characterised by a cold upper air mass that produces dynamic instability) are also responsible for many intense storms and flash floods, especially in the summer period (Mamassis and Koutsoyiannis, 1996). Snowmelt driven floods are rare. ...
Chapter
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The flood regime in Greece is investigated, from the early past to modern years. Large-scale floods, mainly due to deglaciation processes (also known as palaeofloods), together with earthquakes and volcanoes, are the major mechanisms that formed the current diverse Greek terrain. The influence of these impressive phenomena is reflected in some ancient myths, also reflecting earlier efforts of flood control and management. The struggle of humans against the destructive power of floods is further testified by several structures revealed by archaeological research. In modern times, the dramatic change of the demographic and socio-economic conditions made imperative the construction of large-scale water projects, which in turn resulted in large-scale environmental changes. The consequences of these practices, both positive and negative, are discussed, with regard to the problem of floods in Greece.
Thesis
Full-text available
This thesis falls into the scientific areas of stochastic hydrology, hydrological modelling and hydroinformatics. It contributes with new practical solutions, new methodologies and large-scale results to predictive modelling of hydrological processes, specifically to solving two interrelated technical problems with emphasis on the latter. These problems are: (A) hydrological time series forecasting by exclusively using endogenous predictor variables (hereafter, referred to simply as “hydrological time series forecasting”); and (B) stochastic process-based modelling of hydrological systems via probabilistic post-processing (hereafter, referred to simply as “probabilistic hydrological post-processing”). For the investigation of these technical problems, the thesis forms and exploits a novel predictive modelling and benchmarking toolbox. This toolbox is consisted of: (i) approximately 6 000 hydrological time series (sourced from larger freely available datasets), (ii) over 45 ready-made automatic models and algorithms mostly originating from the four major families of stochastic, (machine learning) regression, (machine learning) quantile regression, and conceptual process-based models, (iii) seven flexible methodologies (which together with the ready-made automatic models and algorithms consist the basis of our modelling solutions), and (iv) approximately 30 predictive performance evaluation metrics. Novel model combinations coupled with different algorithmic argument choices result in numerous model variants, many of which could be perceived as new methods. All the utilized models (i.e., the ones already available in open software, as well as those automated and proposed in the context of the thesis) are flexible, computationally convenient and fast; thus, they are appropriate for large-sample (even global-scale) hydrological investigations. Such investigations are implied by the (mainly) algorithmic nature of the methodologies of the thesis. In spite of this nature, the thesis also provides innovative theoretical supplements to its practical and methodological contribution. Technical problem (A) is examined in four stages. During the first stage, a detailed framework for assessing forecasting techniques in hydrology is introduced. Complying with the principles of forecasting and contrary to the existing hydrological (and, more generally, geophysical) time series forecasting literature (in which forecasting performance is usually assessed within case studies), the introduced framework incorporates large-scale benchmarking. The latter relies on big hydrological datasets, large-scale time series simulation by using classical stationary stochastic models, many automatic forecasting models and algorithms (including benchmarks), and many forecast quality metrics. The new framework is exploited (by utilizing part of the predictive modelling and benchmarking toolbox of the thesis) to provide large-scale results and useful insights on the comparison of stochastic and machine learning forecasting methods for the case of hydrological time series forecasting at large temporal scales (e.g., the annual and monthly ones), with emphasis on annual river discharge processes. The related investigations focus on multi-step ahead forecasting. During the second stage of the investigation of technical problem (A), the work conducted during the previous stage is expanded by exploring the one-step ahead forecasting properties of its methods, when the latter are applied to non-seasonal geophysical time series. Emphasis is put on the examination of two real-world datasets, an annual temperature dataset and an annual precipitation dataset. These datasets are examined in both their original and standardized forms to reveal the most and least accurate methods for long-run one-step ahead forecasting applications, and to provide rough benchmarks for the one-year ahead predictability of temperature and precipitation. The third stage of the investigation of technical problem (A) includes both the examination-quantification of predictability of monthly temperature and monthly precipitation at global scale, and the comparison of a large number of (mostly stochastic) automatic time series forecasting methods for monthly geophysical time series. The related investigations focus on multi-step ahead forecasting by using the largest real-world data sample ever used so far in hydrology for assessing the performance of time series forecasting methods. With the fourth (and last) stage of the investigation of technical problem (A), the multiple-case study research strategy is introduced −in its large-scale version− as an innovative alternative to conducting single- or few-case studies in the field of geophysical time series forecasting. To explore three sub-problems associated with hydrological time series forecasting using machine learning algorithms, an extensive multiple-case study is conducted. This multiple-case study is composed by a sufficient number of single-case studies, which exploit monthly temperature and monthly precipitation time series observed in Greece. The explored sub-problems are lagged variable selection, hyperparameter handling, and comparison of machine learning and stochastic algorithms. Technical problem (B) is examined in three stages. During the first stage, a novel two-stage probabilistic hydrological post-processing methodology is developed by using a theoretically consistent probabilistic hydrological modelling blueprint as a starting point. The usefulness of this methodology is demonstrated by conducting toy model investigations. The same investigations also demonstrate how our understanding of the system to be modelled can guide us to achieve better predictive modelling when using the proposed methodology. During the second stage of the investigation of technical problem (B), the probabilistic hydrological modelling methodology proposed during the previous stage is validated. The validation is made by conducting a large-scale real-world experiment at monthly timescale. In this experiment, the increased robustness of the investigated methodology with respect to the combined (by this methodology) individual predictors and, by extension, to basic two-stage post-processing methodologies is demonstrated. The ability to “harness the wisdom of the crowd” is also empirically proven. Finally, during the third stage of the investigation of technical problem (B), the thesis introduces the largest range of probabilistic hydrological post-processing methods ever introduced in a single work, and additionally conducts at daily timescale the largest benchmark experiment ever conducted in the field. Additionally, it assesses several theoretical and qualitative aspects of the examined problem and the application of the proposed algorithms to answer the following research question: Why and how to combine process-based models and machine learning quantile regression algorithms for probabilistic hydrological modelling?
Thesis
Floods are one of the most important catastrophic consequences of extreme weather conditions which might lead to considerable losses of property and life. In recent years, several major floods having high social impact occurred in many parts of the world including Europe. Nearly every year during the last few decades major flooding has happened somewhere on the European continent. For the period 1980-2002, the greatest number of floods occurred in France (22 %), Italy (17 %) and the UK (12 %). The highest number of fatalities occurred in Italy (38 %), followed by Spain (20 %) and France (17 %) (Innovations Report online). Recent flooding highlights the specific need to evaluate societal vulnerability to the response of flooding to global change and climatic vulnerability. Floods becoming a part of our lives incited a new hazard culture – namely, a living with flood attitude - which is based on a more integrated approach including measures such as prevention, insurance, forecasting, warning and evacuation, and land use planning. In addition, flood risk education and awareness increased in importance. The main scope of the study is to provide a better understanding and insight of flood causing weather conditions and to explain the links between climate and floods in the mesoscale catchments with a size of a few hundreds up to a few thousand square kilometers. The present research was carried out as a part of the SPHERE Project (Systematic, Palaeoflood and Historical data for the improvEment of flood Risk Estimation) funded by the European Union. The project duration was between March 2000 and July 2003. The Institute for Hydraulic Engineering (IWS) at the University of Stuttgart was one of the project partners responsible for the investigation of the links between floods and climate. Within this task, IWS identified the flood-prone large-scale meteorological conditions in the Study Areas – Ardèche in France and Llobregat in Spain – and developed a discharge downscaling method which enables the analysis of possible past and future floods to estimate the flood risk. For the analysis of present and past floods NCEP Re-analysis Data (gridded sea level pressure), past GCM scenarios (KIHZ Project) and historical Point Sea Level Pressure and Temperature data from several stations in Europe (IMPROVE Project) were obtained. For the purposes of the current study, the identification of the short- and long-term relationships between climatic variability and flooding (on timescales of decades and centuries) is of great importance. Furthermore, the investigation of the changes in frequencies of flood-causing weather conditions and the identification of possible trends might help in the assessment of future flood frequency projections. The performance of the climatic and hydrologic models has improved considerably in the last decades. Despite the high number of sophisticated models developed, new ideas, more applications and challenging approaches are still sought. New and innovative hydrometeorological methods are required for the investigation of the flood phenomenon and for explaining the complex relationships and interactions in the nature. This work implies a first application as well. The aim of this dissertation is to present a new method to explain flood-prone weather conditions by using discharge information observed in the selected basin. Discharge includes significant information in terms of floods, since it is regarded as one of the end- products of precipitation. Hence, it can be integrated into the investigation of flood-causing weather conditions. An automated identification procedure based on fuzzy rules is developed for flood-producing weather situations based on the large-scale observations. In order to establish a daily link between circulation patterns and flood events, investigation of discharge increases instead of discharge is suggested. This approach is useful in mesoscale catchments with short concentration times. A new downscaling method, different from conventionally-used downscaling methods, was developed to generate daily discharge time series directly from large-scale atmospheric information. The common way of linking large-scale information to local-scale variables is usually downscaling of precipitation and temperature from large-scale atmospheric features and to link them to discharge with a rainfall-runoff model. In this work, a stochastic discharge simulation was developed to downscale discharge from atmospheric circulation directly. The research delivers interesting and promising results. The investigation in both Study Areas provided successful outcomes concluding that there is a strong link between the occurrence of certain circulation patterns and the occurrence of floods in the Studied Regions.
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A method of precipitation simulation that incorporates climatological information has been developed. A Markovian-based model is used to generate temporal sequences of six daily weather types: high pressure; coastal return; maritime tropical return; frontal maritime tropical return; cold frontal overrunning; and warm frontal overrunning. Precipitation values are assigned to individual days by using observed statistical relations between weather types and precipitation characteristics. When this method was applied to an area in the Delaware River basin, the statistics describing average precipitation, extreme precipitation, and drought conditions for simulated precipitation closely matched those of the observed data. Potential applications of this weather type precipitation model include climatic change research and modeling of temperature and evapotranspiration.
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The daily occurrence of large-scale atmospheric circulation patterns (CPs) is linked with the partial duration series of floods, using a case study in Central Arizona (USA) to illustrate the approach. The probabilistic linkage is evaluated by means of two performance indices, relating flood occurrence, observed CP occurrence before floods and purely random count of CPs. Three seasons (summer, autumn and winter) are distinguished, and CPs are grouped into two flood-producing groups year round, and two more such groups in winter. Floods in five watersheds, whose areas range from 900 to 15 000 km2, are analyzed for the period 1940–1980. The number of days N to be considered before the flood day is investigated using the first performance index, yielding a value of 1–3 days. The two performance indices appear to measure the linkage in a suitable way, especially in the autumn and winter seasons. The first index, measuring the ratio of percentage of floods explained by the two (or four) groups of flood-producing CPs to the percentage of CPs in the population, is well above 1.5. The second index, measuring the probability of at least k days out of N with CP type i before the flood day, is considerably greater than the corresponding binomial or Bernoulli value. Results for summer, when precipitation stem from convective storms, are not as clear-cut. In any case, this method makes it possible to study the effect of non-stationarities in the time series of CPs, and results should improve when daily precipitation or at least daily flows are considered.
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