Accurate and reliable forecasting of reservoir
inflow highly depends on the meteorological forecasting (rainfall, temperature, etc.). As a result of
using observed rainfall data, it somehow reduces
the kind of error caused by input data.
The analysis was carried out with (1) the parameters transferred from the neighbour catchment, and (2) the parameters auto-optimized continuously based on the SCE algorithm and realtime updating at predicted time indicated that the
latter method provides more reliable results than
the former one. It is possibly because the autocalibrated parameters based on real-time updating algorithm have a good reflection of the catchment states at predicted time – a region having
Figure 4. The observed and forecast discharged hydrograph using the parameter set 279
Journal of Ecological Engineering Vol. 19(3), 2018
completely no data of catchment attributes (land
humidity, land’s water storage capacity, etc.), the
forecast shows good agreement with the observed
flow. Using the proposed method for the inflow
simulation is advantageous, because it can provide credible forecast for the catchment without
any historical discharge data. Nevertheless, the
model parameters are capable of continually updating so that the forecasting at subsequent time
steps can be operated with high accuracy; hence,
the water level of the reservoir and observed rainfall need to be updated continuously. This raising
point can be done by the installation of automatic
gauges. For the 6-h, 12-h ahead forecast cases,
the forecast error is 10% and 20%, respectively.
Although the accuracy of the forecast rainfall decreases as the lead time increased, the results indicated that a real-time updating algorithm incorporated into optimized auto-calibration method of
the parameters of MIKE NAM model can enhance
the efficiency of inflow forecasting for a data
scarce region. Further research for more accurate
and efficient prediction is still required. However,
integrating the data assimilation algorithm into
the forecast process to bridge the gap between the
theory and practice can be a possible solution.
                
              
                                            
                                
            
 
            
                
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INTRODUCTION
Reservoir management can be viewed as an 
important strategic perspective for the socio-
economic development of a region, related to 
hydro-power development, water supply for irri-
gation, flood control etc. However, the variability 
of hydro-meteorological forcing and economic 
activities within the river basin are expected to 
significantly impact its characteristic. In order to 
maximize the performance of a single-reservoir 
as well as multi-reservoir system, having accu-
rate reservoir inflow forecasting with enough lead 
time poses a challenge to water managers.
The development of model methods has been 
widely applied as an effective method for the res-
ervoir inflow forecasting [An et al. 2012, Anh et 
al. 2015]. Coupled neural networks have recently 
become a well-known tool for better forecasting of 
the inflow hydrograph [Sanjeet et al. 2015, Krish-
na 2014]. However, in this model, a large amount 
of hydrologic data is required to determine the 
adaptive weights, which is usually unavailable in 
data-scarce regions. Using the distributed models 
may be inappropriate for real-time flow forecast-
ing since the simulation can be time-consuming 
[Hapuarachchi et al. 2008]. A lumped model, there-
fore, is possibly the best choice for forecasting in 
an ungauged catchment. With the selected model, 
the accuracy of forecasting is prone to uncertainty 
depending on the forecasting meteorological data, 
forecasting scheme and the reliability of the used 
model. The aim of this study is to enhance the 
reliability of the model based on continuous op-
timization method to specify updated parameter 
values for reservoir inflow forecasting. For that 
purpose, model validation and calibration are key 
steps in any forecast models and simulation study. 
Journal of Ecological Engineering Received: 2018.02.04 
Accepted: 2018.03.15
Published: 2018.05.01Volume 19, Issue 3, May 2018, pages 74–79
https://doi.org/10.12911/22998993/85759
An Approach for Flow Forecasting in Ungauged Catchments 
– A Case Study for Ho Ho reservoir catchment, Ngan Sau River, 
Central Vietnam
Dang Dinh Kha1*, Nguyen Y Nhu1, Tran Ngoc Anh1,2
1 Department of Hydrology and Water Resources, VNU University of Science, Vietnam National University, 
Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
2 Center For Environmental Fluid Dynamics, VNU University of Science, Vietnam National University, Hanoi, 
334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
* Corresponding author’s e-mail: dangdinhkha@hus.edu.vn
ABSTRACT 
Reservoir inflow forecasting with high reliability plays an important role in the operation and management 
of the reservoir for power generation, irrigation, flood prevention as well as ensuring the safety of the dam. 
However, the level of forecast accuracy is limited, since its performance depends on rainfall forecasting and hy-
drological model. In order to increase the efficiency of forecasting, this study introduces the inflow forecasting 
method that integrates the real-time updating techniques with continuous optimization method of MIKE NAM 
model to specify the appropriate parameter set for forecasting time. The proposed forecasting method was tested 
for the Ho Ho reservoir, the area facing the scarcity of historical data for model calibration and verification. The 
analysis of the forecasting results for Ho Ho reservoir using transferred parameters from the stable calibrated 
parameter values at Hoa Duyet station (downstream of Ho Ho reservoir) and the results obtained using the 
adapted parameters by the proposed method shows that the adapted parameter values provides a more reliable 
forecast, which will better serve the decision making. 
Keywords: real time updating, flood, forecasting, ungauged catchment.
75
Journal of Ecological Engineering Vol. 19(3), 2018
However, it should be noted that there is a limited 
number of river basins with long enough observed 
discharge data to capture the coverage of the hy-
drological event within the basin to both calibrate 
and validate the model, especially for the area 
with construction of new reservoir. Several studies 
“transfer” the parameter values of the model being 
specified for one catchment to the predicted catch-
ment having similar characteristics [An et al. 2013, 
Bardossy 2007]. However, this procedure assumes 
that only one set of parameters is obtained, which 
possibly lead to a good model performance only 
for the events with similar conditions. In fact, due 
to the large complexity of the corresponding natu-
ral phenomena in Vietnam as result of its tropical 
monsoon climate and its time variation, the model 
parameters need to be transferred for the predicted 
catchment and the weather conditions under study. 
Further, the socio-economic activities within the 
basin have an influence on the hydrological re-
gime coupled with the impact of climate change 
which leads to an increase in the complexity of 
hydrological processes in a catchment. Conse-
quently, the identification of a unique dataset 
providing a good model performance for any 
weather conditions is practically impossible. In 
such a case, a flow forecasting system incorporat-
ing a real-time updating algorithm that adapts the 
model and catchment state can improve the fore-
casting accuracy. On that basis, this study tested 
and discussed the inflow forecasting method that 
integrates the real-time updating techniques in-
cluding three categories: updating (1) input vari-
ables; (2) model parameters; and (3) output vari-
ables and the continuous optimization method of 
MIKE NAM model to specify parameters on the 
basis of reservoir water balance equation for the 
Ho Ho reservoir inflow forecasting. 
MATERIALS AND METHODS
Study area and dataset used 
The Ho Ho reservoir is constructed on the 
Ngan Sau River, a main tributary of La River 
located in Ha Tinh province, central Viet Nam. 
The area of Ho Ho reservoir catchment is 278.6 
km2 with the storage capacity of the reservoir 
being 38 million m3. The Ho Ho reservoir offi-
cially operates from the beginning of 2013.
From 2017, three automatic rain gauges and 
an automatic water level recorder were installed 
upstream of the Ho Ho reservoir, these recorded 
data can be automatically updated for the data-
base of reservoir management office. 
In addition, the observed daily rainfall for 7 
years from Jan 01, 2010 to Dec 31, 2016 were 
collected from the National Hydro-Meteoro-
logical Service, Vietnam for three stations Chu 
Figure 1. Rain gauge network in the study area
Journal of Ecological Engineering Vol. 19(3), 2018
76
Le, Huong Khe and Hoa Duyet in the study area 
(Figure 1). The daily water level and discharge 
with the same period were collected from Hoa 
Duyet station with the catchment area of 1880 
km2, located downstream of the Ho Ho reservoir 
(71 km from the site). These data are employed 
for calibration and validation of the model to 
serve the reservoir inflow forecasting.
Methodology 
MIKE NAM, a lumped model, developed at 
DHI Water & Environment has been widely used 
in researches [Keskin et al. 2007, Liu et al. 2007, 
Kamel et al. 2008]. The model simulates the water 
movement in the land phase of the hydrological 
cycle by continuously accounting for the water 
content in four different and mutually interrelated 
storages, including snow storage, surface storage, 
lower or root zone storage and groundwater stor-
age [DHI 2004]. The parameters of MIKE NAM 
model can be identified by either the manual trial-
and-error method or automatic optimization meth-
od. The auto-calibration is done to optimize two 
objective functions: (a) minimizing the water bal-
ance error (%WBL) (b) minimizing the root mean 
square error (RMSE) [DHI 2004]. The auto-cali-
brated method provides the good performance in 
simulating each hydrological event, but with vari-
ous hydrological events, they require different pa-
rameter sets to obtain good performance [Giang et 
al. 2010]. In recent years, MIKE NAM model has 
been considered as an efficient tool for forecasting 
and water resources assessment in Vietnam [An 
et al. 2013, Long et al. 2010, Giang et al. 2010]. 
However, most of the study focused on simulating 
the historical events with a single parameter set. In 
this paper, a different approach of integrating the 
real-time updating technique with optimization al-
gorithm SCE (Shuffled Complex Evolution) with 
the RMSE objective function in MIKE NAM for 
parameter auto-calibration is applied. The cali-
brated parameters will be linked and updated auto-
matically into the runoff model to forecast the in-
flow for the next time step. The rainfall and water 
level data from automatic recorder will be updated 
as input variables for parameters updating. The 
automatic water level recorders at the reservoir are 
used to estimate the reservoir inflow according to 
the reservoir water balance equation (1):
 (1)
where: Q(t) – reservoir inflow [m3/s],
 qr(t) – reservoir outflow [m3/s],
 dV/dt – varying of storage capacity of the 
reservoir in time [m3/s].
Simplified, the trial-and-error method will be 
used to solve the equation (1) which is based on the 
characteristics of reservoir, including water level 
– storage capacity relationships Z ~ V, water level 
– structure outflow (turbine, spillway) Z~ q, and 
water level – surface area Z~ F. These relationships 
were developed based on the reservoir survey data.
The daily rainfall data collected from three 
stations Chu Le, Huong Khe and Hoa Duyet in the 
study area will be used to estimate the basin aver-
age rainfall with the Thiessen Polygon method. 
The model calibration and validation will be done 
by combining the trial-and-error with automatic 
optimization method to obtain the best result. 
The accuracy of simulation assessed by using the 
Nash-Sutcliffe coefficient, which were of 0.7 and 
0.76 being obtained with the period of 2010-2013 
and 2014-2016, respectively, for calibration and 
verification (Figure 2). This indicates that the ob-
tained parameters were reasonably good for fore-
casting purpose at Hoa Duyet station. 
In order to forecast the Ho Ho reservoir inflow, 
these parameters need to be transferred from Hoa 
Duyet to Ho Ho using regression relationships be-
tween the catchment area defined by Ho Ho reser-
voir (278.6 km2) and the one by Hoa Duyet station 
(1880 km2), referred to as parameter set 1. The pa-
rameters of time constant for routing overland flow 
(CK1, 2) and baseflow (BF) will be revised since 
they present high sensitivity to the catchment size. 
Besides, the study integrates the real-time 
water level, rainfall updating algorithm and auto-
calibrated method in MIKE NAM to optimize the 
parameter values. The algorithm was developed 
in the Matlab environment to auto-update the 
observed data from recorder, auto-calibrate and 
forecast the Ho Ho reservoir inflow via MIKE 
NAM model. In turn, when the water level and 
rainfall at the reservoir are updated at time t, the 
model will auto-forecast the reservoir inflow at 
t + Δt, the parameters of MIKE NAM model at 
subsequent time step, (t + 2Δt), can be obtained 
according to updating measured flow, water level 
and rainfall data at t + Δt. The updating observed 
input variables at t + Δt and the re-update param-
eters for time t + 2Δt (parameter set 2) will be 
used to forecast the inflow at t + 2Δt. It means that 
the parameter set 2 will be updated continuously 
to correctly reflect the catchment attributes at the 
predicted time.
77
Journal of Ecological Engineering Vol. 19(3), 2018
RESULTS AND DISCUSSIONS
The hourly rainfall data of flood event from 
July 15, 2017 to July 17, 2017 were collected for 
forecast testing and the results are presented in 
Figures 3 and 4.
The Figure 3 indicates the forecasting result 
using the parameter set 1; it can be seen that un-
der no rain conditions, water is kept in soil and 
water bodies on catchment to maintain the river, 
the model shows a good performance. However, 
under heavy-rainfall conditions, the result sug-
gests that the model overestimated the simulat-
ed discharge, the error of flood peak flows was 
around 80%. This indicates that reasonably good 
model parameters obtained during the calibration 
and validation at Hoa Duyet station, are not com-
parable for the forecast of the Ho Ho reservoir 
inflow. This is possibly because the parameter set 
1 does not correctly reflect the attributes of catch-
ment at the predicted time (soil humidity, land’s 
water storage capacity etc).
The Figure 4 shows the observed and forecast 
discharge using the parameter set 2 for different 
Figure 2. The observed and simulated discharge at Hoa Duyet station
Figure 3. The observed and forecast discharge using the parameter set 1
Journal of Ecological Engineering Vol. 19(3), 2018
78
time steps. Similarly, under no rain conditions 
(from July 15, 2017 at 1:00:00 PM to July 16, 
2017 at 1:00:00 PM) the model shows good per-
formance as a result of stable inflow. At the initial 
time t when rain occurs (July 16, 2017 at 4:00:00 
PM) the model performed relatively worse with 
the forecast error of 45% for the 12 hours ahead 
forecast cases. The possible reason of this result 
is to employ the parameters optimized from the 
previous time step (the no rain parameter set) for 
the forecast cases. In order to make prediction at 
t + 1 (July 16, 2017 at 7:00:00 PM), the model 
is updated with observed water level at t of the 
Ho Ho reservoir which means that this optimized 
parameters somehow better reflect the attributes 
of catchment. As a result, forecast values are 
improved significantly; the errors are 10% and 
20% with the lead time of 6 hours and 12 hours, 
respectively. The error of peak discharge for 
a 3-h prediction is around 20%. For the subse-
quent time steps (t + 2, t + 3,...) the forecast dis-
charge hydrograph approaches ever closer to the 
observed discharge hydrograph. Even though the 
accuracy of inflow forecasting decreases when the 
lead time is increased because the forecast error 
is accumulated from the previous lead-time fore-
casting; these results indicate that the proposed 
inflow forecasting method can increase the cred-
ibility of forecast information in comparison with 
the forecast information using the transferred pa-
rameter values from another catchment.
CONCLUSION
Accurate and reliable forecasting of reservoir 
inflow highly depends on the meteorological fore-
casting (rainfall, temperature, etc.). As a result of 
using observed rainfall data, it somehow reduces 
the kind of error caused by input data. 
The analysis was carried out with (1) the pa-
rameters transferred from the neighbour catch-
ment, and (2) the parameters auto-optimized con-
tinuously based on the SCE algorithm and real-
time updating at predicted time indicated that the 
latter method provides more reliable results than 
the former one. It is possibly because the auto-
calibrated parameters based on real-time updat-
ing algorithm have a good reflection of the catch-
ment states at predicted time – a region having 
Figure 4. The observed and forecast discharged hydrograph using the parameter set 2
79
Journal of Ecological Engineering Vol. 19(3), 2018
completely no data of catchment attributes (land 
humidity, land’s water storage capacity, etc.), the 
forecast shows good agreement with the observed 
flow. Using the proposed method for the inflow 
simulation is advantageous, because it can pro-
vide credible forecast for the catchment without 
any historical discharge data. Nevertheless, the 
model parameters are capable of continually up-
dating so that the forecasting at subsequent time 
steps can be operated with high accuracy; hence, 
the water level of the reservoir and observed rain-
fall need to be updated continuously. This raising 
point can be done by the installation of automatic 
gauges. For the 6-h, 12-h ahead forecast cases, 
the forecast error is 10% and 20%, respectively. 
Although the accuracy of the forecast rainfall de-
creases as the lead time increased, the results in-
dicated that a real-time updating algorithm incor-
porated into optimized auto-calibration method of 
the parameters of MIKE NAM model can enhance 
the efficiency of inflow forecasting for a data 
scarce region. Further research for more accurate 
and efficient prediction is still required. However, 
integrating the data assimilation algorithm into 
the forecast process to bridge the gap between the 
theory and practice can be a possible solution. 
Acknowledgements
This research is funded by the VNU Univer-
sity of Science under project number TN.17.16. 
The author is PhD/Doctoral Student under the 
911 Program of VNU University of Science, Viet-
nam National University.
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