Technological University Dublin
ARROW@TU Dublin
Conference papers
School of Civil and Structural Engineering
2018-08-30
Prediction of Flood Hydrograph in Small River Catchments Using
System Modelling Approach
Ahmed Nasr
Technological University Dublin, ahmed.nasr@tudublin.ie
Zeinab Bedri
Technological University Dublin, zeinab.bedri@tudublin.ie
Loreta Ramanauske
loreta.ramanauske@mydit.ie
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Recommended Citation
Nasr, A., Bedri, Z., & Ramanauske, L. (2018). Prediction of Flood Hydrograph in Small River Catchments Using System
Modelling Approach. CERI 2018 and ITRN 2018 Conference, Dublin, Ireland, 29-30 August.
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Prediction of Flood Hydrograph in Small River Catchments Using System Modelling
Approach
1
Ahmed Nasr1, Zeinab Bedri1, Loreta Ramanauske1,
School of Civil and Structural Engineering, Dublin Institute of Technology, Bolton Street, Dublin 1
email: ahmed.nasr@dit.ie, zeinab.bedri@dit.ie, loreta.ramanauske@mydit.ie
ABSTRACT: Floods remain to be one of the natural catastrophic disasters with serious adverse social and economic
implications on individuals and communities all around the world. In Ireland, frequency of flood events have increased
dramatically during the last forty years and is expected to continue to rise primarily due to changes in rainfall and temperature
patterns as a result of the global climate change. Small river catchments are usually vulnerable to different types of flooding
particularly those associated with “monster” rainfall events, which are characterised by short durations and high intensities.
Therefore accurate prediction of flood hydrographs resulting from these rainfall events are vital for issuing timely and detailed
warning to competent authorities in order to allow for efficient preparedness in the affected catchment and other downstream
areas. The current study assess the performance of Unit Hydrograph model in predicting flood hydrograph due to extreme
rainfall storms at three small river catchments with different physical and hydrological characteristics. Results suggest that the
UH model is more powerful in simulating flood hydrographs at natural rural catchments than in urban catchments. The artificial
drainage settings of the urban catchments could be the main reason for hindering the UH from simulating the characteristic
behaviour of such type of catchments.
KEY WORDS: Flood prediction; Small catchments; Unit Hydrograph; Hydrology.
1
INTRODUCTION
Floods are one of the most significant water-related natural
disasters, causing serious property damage and loss of lives
[1]. The distinctive topography of Ireland and its relatively
high precipitation are the major causes of flooding. Moreover
human activities, particularly those associated with changes in
land uses e.g. rapid urbanisation and the destruction of natural
resources, are also contributing to the severity of most of the
unprecedented extreme flood events [2]. Such extreme
flooding is often triggered by localised extreme rainfall events
in small sub-catchments and subsequently propagate
downstream to inundate lowland areas in the catchment. A
"small catchment" in the context of this paper is a drainage
basin with surface area usually less than 25 km2 and with
defined natural and topographic boundaries.
In response to increasing flooding incidents, a call has been
issued for the development and implementation of mitigation
measures to reduce the impact of flooding. One of such
measures encompasses the use of operational flood
forecasting systems, the use of such systems have been
highlighted as a best practice in flood risk management [3].
The growing necessity of these operational systems gives
impetus to the development of rainfall-runoff models which
may be used to estimate the magnitude and frequency of peak
discharges resulting from extreme rainfall events over a
catchment. Estimation of these variables in a catchment
provides crucial information used in managing flood disasters
by designing and constructing essential flood defence and
relief structures. For this purpose, a large numbers of models
have been developed ranging from simple lumped empirical
data-based models to more complex and sophisticated
physically-based numerical systems. Application of these
models in large-scale Irish catchments is well-documented in
the literature; however, few studies are available for
modelling hydrological behaviour of small catchments. The
current study contributes to bridging this gap in knowledge
through evaluating the performance of the Unit Hydrograph
rainfall-runoff modelling approach in predicting flood
hydrographs in small river catchments.
2
STUDY CATCHMENTS
Three small catchments were selected for the purpose of the
current study. The catchments are the River Slang (Co.
Dublin), the Lough Ennell Tributary River (Co. Westmeath)
and the River Big (Co. Louth). The catchments differ in their
main physical characteristics and this in turn enables testing
the model under a diverse range of hydrological behaviours.
The River Slang catchment is a 5.5 km2 sub-catchment
(Figure 1) of the River Dodder catchment (Co. Dublin). This
sub-catchment is heavily developed with residential and
industrial land uses and it is anticipated that urban land cover
in this sub-catchment will continue to grow in the future years
[4]. In terms of topography, the Slang catchment rises at the
Three Rock Mountain at an elevation of approximately 430 m
OD. The Slang stream is approximately 8 km in length and
falls at an average gradient of 1 in 20. In terms of bedrock
geology, the lower reaches of the Dodder catchment,
including the Slang sub-catchment, predominately consist of
carboniferous limestone.
The Lough Ennell Tributary River catchment is a 10.77 km2
small catchment (Figure 1) in county Westmeath and it is a
part of the Brosna sub-catchment in the Shannon River Basin.
Agriculture is the principal activity in this River Basin (73%
of total area) with pasture being the dominant land use [5].
There are also some significant areas of wetland (12%) consist
mainly of peatland. The soils of Lough Ennell Tributary River
catchment are dominated by a mixture of well-drained soil
and peat, together with some poorly drained soil.
River Big is a small sub-catchment of the Neagh Bann River
Basin in Co. Louth (Figure 1) and covers an area of 10.4 km2.
The dominant land use in the Neagh Bann River Basin,
including the River Big sub-catchment, is agricultural with
some small areas of forestry and peatland. The River Big subcatchment is predominantly covered by peat bogs and
pastures. The soil types that characterise this catchment is
predominantly deep well drained mineral podzols with
interspersed deep well drained lithosols. Peaty podzols and
scree are also located on Carlingford Mountain, which is a
part of the River Big sub-catchment. Poor aquifer is
dominating the sub-catchment.
Figure 1. Study Catchments.
3
METHODS
The Unit Hydrograph (UH) was developed originally by
Sherman (1932) and it is defined as the hydrograph of direct
surface runoff resulting from a unit depth of effective rainfall
(usually 1 cm) falling over the catchment area at a uniform
rate during a specified period of time. Hence it can be
categorised as a lumped model for transforming effective
rainfall obtained after subtracting rainfall losses through
various processes (e.g. interception, infiltration) into direct
surface runoff. This single transformation model normally
uses a spatially averaged effective rainfall event as an input
and converts it into an output runoff hydrograph. Despite of
the simplistic assumption of the unit hydrograph theory, the
model generally gives modelling results that are widely
acceptable for practical purposes [6].
availability and quality of rainfall and flow data. The six
events are Event 1 - August 1986 (Hurricane Charley), Event
2 - August 2008, Event 3 - November 2009, Event 4 - October
2011; Event 5 – February 2014 (Storm Darwin); and Event 6 August 2017.
The six selected rainfall events were split into two groups for
the purpose of calibration and validation of the model. Events
3 and 4 were used to calibrate/derive the UH model while the
rest of events were used in validating the derived UH model in
all three study catchments.
Before using storms Events 3 and 4 for calibration of the UH
model, it was necessary to pre-process both the rainfall and
flow data. Rainfall data was analysed in order to produce the
Effective Rainfall Hyetograph (ERH). In this analysis the
total rainfall was partitioned into infiltration losses and ERH.
A number of rainfall separation models are available in the
literature e.g. the Horton infiltration model [7], the Soil
Conservation Service Curve Number method [8], and the
percentage-based method of rainfall separation [9]. In this
study, the Φ-index method [10] was chosen due to its
simplicity and effectiveness.
Similarly, the existing flow data was analysed in order to
derive the Direct Runoff Hydrograph (DRH) from the
observed stream flow hydrograph. This was performed using a
baseflow separation routine (SWATBFLOW) of the SWAT
model [11].
The direct runoff hydrographs and effective rainfall amounts
resulting from the pre-processing stage were then used in the
derivation of the unit hydrographs. The derivation of the unit
hydrographs for Storms 3 and 4 for each catchment was
conducted using the Ordinary Least-Squares Regression
Method [12]. The Unit Hydrographs derived from Storm 3
(UH3) and Storm 4 (UH4) were then averaged to obtain a
third Averaged Unit Hydrograph (Average UH).
Following the calibration stage, the three resulting unit
hydrographs were then used for predicting the direct runoff
hydrographs of the remaining selected storm events (Storm 1,
Storm 2, Storm 5, and Storm 6). The predicted direct runoff
hydrographs were then compared with the actual flow
hydrographs in order to validate the performance of the UH
model. In addition, the fit between the predicted and observed
hydrographs was evaluated using two statistical criteria;
Coefficient of Determination (R2) and the Nash Sutcliffe
Efficiency (NSE). Finally an inter-comparison of the results of
the three study catchments was undertaken in order to elicit
the relationship between the hydrological responses of the
catchments and their physical characteristics.
4
Calibration and validation of the UH model requires two sets
of data; namely rainfall and river flow data. For the current
study, the rainfall data was obtained from the Irish
Meteorological
Services,
Met
éireann,
website,
(https://www.met.ie/climate/available-data/historical-data)
while river flow data was obtained from Hydronet, the
Environmental Protection Agency hydrometeric website
(http://www.epa.ie/hydronet/). Six historical significant
rainfall events in terms of duration and intensity have been
identified and used in calibrating and validating the UH
model. These storm events were selected based on the
RESULTS
Derivation of the UH model
The derived Unit Hydrographs for the River Slang Catchment,
Lough Ennell Tributary River Catchment, and the River Big
Catchment are shown in Figures 2, 3, and 4 respectively. It is
obvious from Figure 2 that at the River Slang Catchment, the
UH3 produced a higher peak (by almost 30%) and quicker
falling limb than UH4, indicating a “more flashy” response
than UH4. At the Lough Ennell Tributary River Catchment
(Figure 3), the derived unit hydrographs yielded
approximately similar peak flow magnitudes but with the
UH3 showing a quicker recession hydrograph than UH4. At
the River Big Catchment, the UH3 and UH4 have displayed
an identical behaviour (Figure 4).
Figure 2. Comparison of three UHs at the River Slang
Catchment.
Figure 5 demonstrates the performance of the three UHs
(UH3, UH4, and the average UH) in predicting flood
hydrographs for Storm Events 2 and 5 at the River Slang subcatchment. The figure clearly shows that the timing of the
peak of Storm 5 has been reasonably captured by the three
UHs whereas the opposite has occurred for Storm 2. In terms
of the magnitude of the peaks, the three UHs have
overestimated the observed peak of Storm 5. For Storm 2,
UH3 has overestimated the actual peak while UH4
underestimated it and this has resulted in producing good
predictions by the average UH. Generally for the two storms
the rising limb and recession limb of the simulated
hydrographs are steeper than the actual hydrographs. Also the
three UHs have responded well to the second rainfall event in
Storm 2 and the first rainfall event in Storm 5 while the actual
hydrograph shows no response.
This behaviour may be attributed to the fact that the River
Slang catchment is an urban catchment and therefore will
likely undergo quick artificial drainage following storm
events. This manifests itself as a lack of response to smaller
rainfall events or smaller peaks of resulting flood
hydrographs.
Figure 3. Comparison of three UHs at the Lough Ennell
Tributary River Catchment.
Figure 4. Comparison of three UHs at the River Big
Catchment.
Validation of the UH models
The resulting unit hydrographs (in Section 4.1 above) were
then used for predicting the direct runoff hydrographs of the
remaining selected storm events (Storm 1, Storm 2, Storm 5,
and Storm 6). For the purpose of this paper, the results of two
storm events Storm 2 and Storm 5 are presented and discussed
below.
Figure 5. Predicated and actual flow hydrographs for the
River Slang Catchment.
In Lough Ennell Tributary River Catchment, the three UHs
have generally given good prediction to the actual
hydrographs of Storm 2 and 5 (Figure 6). The predicated
shape and peak magnitude of the flow hydrograph of Storm 2
are comparable to the actual ones. For Storm 5, the predicted
shape of its flow hydrograph is matching the actual one;
however, there is an underestimation to the actual peak
magnitude by all UHs.
performs better in catchments that exhibit natural damped
drainage system than urban catchments with artificial drainage
system such as the River Slang Catchment.
Topography of the catchments is another important factor
influencing the catchment response to rainfall. Both River
Slang and River Big catchments are steep, implying a flashy
response and quicker drainage than the Lough Ennell
Tributary River Catchment which lies in a low-land area.
Figure 6. Predicated and actual flow hydrographs for the
Lough Ennell Tributary River Catchment.
Figure 7 shows that the predicted hydrographs of Storm 2
gave a very good fit to the observed hydrograph in terms of
both shape and peak magnitude in the River Big Catchment.
Results of Storm 5 demonstrated a good fit between the actual
and predicted magnitude of the first peak, but showed
inconsistency with the second peak. This response may be due
to two reasons. Firstly the River Big is a steep catchment and
therefore may drain quickly particularly following small
rainfall events. Secondly, the event-based nature of the Unit
Hydrograph model implies that the model handles rainfall
events on an isolated discrete basis; i.e. the system has a short
memory to account for the antecedent moisture condition
which resulted from one storm event and affecting a
subsequent event following immediately the first one. When
comparing the hydrographs of Storm events 2 and 5 it is
noteworthy that there is a dry spell of approximately 5 hours
between the two rainfall events of Storm 2 as opposed to 1.5
hours on Storm 5. Also the amount of rainfall during Storm 5
is significantly less than that of Storm 2.
The model predictions of the three catchments demonstrated
that the Lough Ennell Tributary River and the River Big
Catchments which are both agricultural catchments,
performed better than the River Slang Catchment. Such an
outcome may indicate that the Unit Hydrograph model
Figure 7. Predicated and actual flow hydrographs for the
River Big Catchment.
The results of statistical efficiency are presented in Tables 1 to
4 below. In this study both the Coefficient of Determination
(R2) and Nash-Sutfcliffe Efficiency (NSE) were calculated to
assess the fit between the predicted and actual flow values for
the two validation storms (Storm 2 and 5).
The range of NSE lies between 1.0 (perfect fit) and −∞. An
efficiency of lower than zero indicates that the mean value of
the observed time series is a better predictor than the model.
The range of R2 lies between 0 and 1, which describes how
much of the observed dispersion is explained by the
prediction. A value of zero means no correlation at all
whereas a value of 1 means that the dispersion of the
prediction is equal to that of the observation.
The NSE values for Storm 2 and 5 at the River Slang
catchment (see Tables 1 and 2) were negative suggesting that
the mean value of the observed time series is a better predictor
than the UH model. This finding is also confirmed by the low
values of R2 which range between 0.061 and 0.70 (Tables 3
and 4).
The UH model gave a remarkably better fit between the actual
and the predicated flow values at the Lough Ennell Tributary
River as demonstrated by both the NSE (0.795 – 0.957) and
R2 (0.842 – 0.967) values.
Results at the River Big catchment also showed a good fit
between the observed and predicted flow values. The NSE
values for this catchment ranged between 0.612 and 0.923
while the R2 ranged between 0.657 and 0.924.
Table 1. Comparison of the predicted and actual hydrographs
of Storm Event 2: Nash-Sutfcliffe Efficiency (NSE).
Catchment
River Slang
Lough Ennell Tributary
River
River Big
UH3
-0.45
0.96
UH4
-0.01
0.88
AUH
-0.22
0.94
0.92
0.91
0.92
Table 2. Comparison of the predicted and actual hydrographs
of Storm Event 5: Nash-Sutfcliffe Efficiency (NSE).
Catchment
River Slang
Lough Ennell Tributary
River
River Big
UH3
-0.78
0.91
UH4
-0.07
0.80
AUH
-0.36
0.87
0.61
0.61
0.61
hydrological models which reasonably predicts the
hydrological behaviour of small catchments. The current
study evaluated the performance of the Unit Hydrograph
rainfall-runoff modelling approach in predicting flood
hydrographs at three small Irish catchments with different
physical and hydrological characteristics; namely the River
Slang (Co. Dublin), the Lough Ennell Tributary River (Co.
Westmeath) and the River Big (Co. Louth).
Hydrographs due to six historical significant rainfall events in
terms of duration and intensity have been selected and used in
calibrating and validating three variants of a UH model at the
three catchments. Two of the six storms were used in
calibrating the UH model while the remaining four storms
used in validating the same model. Performance of the UH
model in predicting the actual flood hydrographs was assessed
based on visual inspection and goodness of fit statistical
criteria.
Comparison between the actual and the predicted flow
hydrographs demonstrated that the UH model was successful
in simulating the principal hydrograph parameters such as
shape, base time, and magnitude and timing of the peak in the
two rural catchments (River Big catchment the Lough Ennell
Tributary River catchment). Simulation of the same
parameters in the urban catchment (River Slang catchment)
was not as good as those of the rural catchments.
REFERENCES
Table 3. Comparison of the predicted and actual hydrographs
of Storm Event 2: Coefficient of Determination (R2).
Catchment
River Slang
Lough Ennell Tributary
River
River Big
UH3
0.061
0.97
UH4
0.151
0.88
AUH
0.097
0.94
0.92
0.91
0.92
Table 4. Comparison of the predicted and actual hydrographs
of Storm Event 5: Coefficient of Determination (R2).
Catchment
River Slang
Lough Ennell Tributary
River
River Big
UH3
0.70
0.92
UH4
0.70
0.84
AUH
0.70
0.90
0.66
0.68
0.66
The results of the statistical analysis demonstrated that the
best fit between predicted and actual flow was achieved at the
River Big Catchment, followed by the Lough Ennell Tributary
River Catchment, while the least accurate fit was obtained at
the River Slang Catchment.
5
CONCLUSIONS
Accurate prediction of flood hydrographs due to localised
extreme rainfall events in small river catchments provides
essential information used in designing necessary measures
for managing floods at various scales. Unit Hydrograph (UH)
model is considered one of the simplistic types of
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