scholarly journals Modulation of the goodness of fit in hydrological modelling based on inner balance errors

PLoS ONE ◽  
2021 ◽  
Vol 16 (11) ◽  
pp. e0260117
Author(s):  
Francisco Pellicer-Martínez ◽  
Francisco Gomariz-Castillo ◽  
María Manuela Portela ◽  
Isabel María Martínez-Alcalá ◽  
José Miguel Martínez-Paz
Keyword(s):  
Water Balance ◽  
Objective Function ◽  
Penalty Function ◽  
Goodness Of Fit ◽  
Model Simulation ◽  
Mass Conservation ◽  
Hydrological Modelling ◽  
Balance Model ◽  
Tagus River ◽  
Balance Error

In hydrological modelling, a good result for the criterion of goodness of fit does not always imply that the hypothesis of mass conservation is fulfilled, and models can lose their essential physical soundness. We propose a way for detecting this anomaly by accounting the resulting water balance during model simulation and use it to modulate the obtained goodness of fit. We call this anomaly in water balance as “inner balance error of the model”. To modulate the goodness of fit values, a penalty function that depends on this error is proposed. In addition, this penalty function is introduced into a multi-criteria objective function, which is also tested. This procedure was followed in modelling the Headwater of the Tagus River (Spain), applying the monthly abcd water balance model. Modulation of the goodness of fit allowed for detecting balance errors in the modelling, revealing that in the simulation of some catchments the model tends to accumulate water in, or release water from, the reservoir that simulates groundwater storage. Although the proposed multi-criteria objective function solves the inner balance error for most catchments, in some cases the error cannot be corrected, indicating that any error in the input and output data is probably related to groundwater flows.

scholarly journals ANALISIS SISTEM DINAMIK NERACA AIR DI PULAU TIDORE

2018 ◽  
Vol 8 (2) ◽  
Author(s):  
Halima Malaka ◽  
M. Yanuar ◽  
J. Purwanto ◽  
Alinda Zein
Keyword(s):  
Water Balance ◽  
Ground Water ◽  
Water Use ◽  
Water Availability ◽  
Water Demand ◽  
Model Simulation ◽  
Balance Model ◽  
Balance System ◽  
Simulation Scenario ◽  
Availability Index

This research was conducted at Tidore Island, –Tidore City, North Maluku Archipelago Province. Objective of this study were  1) build a water balance model Tidore Island. This Method used in this research is method of survey with water balance analysis. Analysis of the data used is the analysis of dynamic system to determine the balance of the year 2009 - 2032 with software stella version 9.0.2. The result of analysis showed that in 2009 there were water balance 21,189,941.20 m3 / year and in 2032 there was a deficit of 427,678.61 m3 / year. Water availability index (IKA) in 2009 amounted to 1416.10 and in the year 2032 amounted to 82.54 IKA the value, it indicates that in 2032 the availability of groundwater only able to serve 82.54% the water demand. To improve the balance of water needed for water saving and conservation policies at each land use.Saving measures water use and conservation of groundwater done using three policy scenarios, the model simulation results indicate that both scenarios can increase the efficiency of water use and water balance in 2009 to 21,270,444.14 m3 / year with a value of 1490.63 and value IKA in 2032 can be water deficit of 31128.46 m3 / year. While the results of the simulation scenario 3 scenario between saving integrated water use and conservation can improve the water balance in 2009 amounted to 21,350,947.08 m3 / year and the value IKA 1573.44, and in 2032 the value decreased to 117.92 IKA shows the availability of ground water able to serve 117.92% of  water demand  people. Keywords: water balance,system dynamic, water demand, ground water availability

scholarly journals Development and Utility Evaluation of a Multi-Composite Water Balance Model

2020 ◽  
Vol 20 (2) ◽  
pp. 239-250
Author(s):  
Yonghyeon Gwon ◽  
Kyunghwan Son ◽  
Kyoungdo Lee ◽  
Gyewoon Choi
Keyword(s):  
Water Balance ◽  
Water Supply ◽  
River Basin ◽  
Model Simulation ◽  
Water Balance Model ◽  
Weather Data ◽  
Balance Model ◽  
Reservoir Water ◽  
Balance Analysis ◽  
Daily Water

This study aimed to develop a water balance model capable of daily analysis of the water supply situation in a multi-composite area, evaluate the utility of the model, and conduct a water balance analysis. The multi-composite water balance model, which was developed to determine the daily water balance in an area, includes five modules: "Weather data build and area mean data," "Rainfall-runoff analysis," "Benefit area and demand estimation," "Reservoir water balance analysis," and "River basin water balance analysis." The study selected eight cities in northwestern Chungcheongnam-do in Korea as target areas and evaluated the utility of the water balance model. Further, the study used observation and model simulation data for its analysis, which found a high degree of accuracy as well as correlation. In addition, daily water balance analysis was conducted to estimate the potential supply, demand, supply, shortage, surplus supply, and shortage days in the river basin, while the ratio of shortage to demand was also determined to identify areas vulnerable to drought. In the future, it will be possible to establish drought countermeasures and facility operation plans by identifying areas with water supply vulnerability using the developed model.

scholarly journals Characterizing floods in the poorly gauged wetlands of the Tana River Delta, Kenya, using a water balance model and satellite data

2013 ◽  
Vol 17 (8) ◽  
pp. 3059-3075 ◽  
Author(s):  
C. Leauthaud ◽  
G. Belaud ◽  
S. Duvail ◽  
R. Moussa ◽  
O. Grünberger ◽  
...  
Keyword(s):  
Water Balance ◽  
Wetland Management ◽  
Biological Properties ◽  
Hydrological Modelling ◽  
River Delta ◽  
Balance Model ◽  
Tana River ◽  
Composite Product ◽  
Internal Properties ◽  
Management Issues

Abstract. Wetlands, such as those of the Tana River Delta in Kenya, are vital but threatened ecosystems. The flooding characteristics of wetlands largely determine their physical, chemical and biological properties, so their quantification is crucial for wetland management. This quantification can be achieved through hydrological modelling. In addition, the analysis of satellite imagery provides essential hydrological data to monitor floods in poorly gauged zones. The objective of this study was to quantify the main water fluxes and flooding characteristics (extent, duration and number of floods) in the poorly gauged Tana River Delta in East Africa during 2002–2011. To do so, we constructed a lumped hydrological model (the Tana Inundation Model, TIM) that was calibrated and validated with MODIS data. Further analysis of the MYD09A1 500 m composite product provided a map of the empirical probability of flooded state. In non-extreme years and for the current topology of the delta, the flood extent exceeded 300 km2. Floods over 200 km2 occurred on average once a year, with a mean duration of 18 days. River discharge from the upper basin counted for over 95% of the total water inflow. The results are discussed in the light of possible improvements of the models and wetland management issues. This study provides the first known quantification of spatial and temporal flooding characteristics in the Tana River Delta. As such, it is essential for the water and natural resource management of the Tana River basin. The water balance approach was pertinent to the study of this system, for which information on its internal properties and processes is limited. The methodology, a combination of hydrological modelling and flood mapping using MODIS products, should be applicable to other areas, including those for which data are scarce and cloud cover may be high, and where a medium spatial resolution is required.

scholarly journals Sensitivity of groundwater recharge using climatic analogues and HYDRUS-1D

2012 ◽  
Vol 16 (8) ◽  
pp. 2485-2497 ◽  
Author(s):  
B. Leterme ◽  
D. Mallants ◽  
D. Jacques
Keyword(s):  
Water Balance ◽  
Groundwater Recharge ◽  
Potential Evapotranspiration ◽  
Future Climate ◽  
Annual Precipitation ◽  
Balance Model ◽  
Subtropical Climate ◽  
Northern Spain ◽  
Near Surface ◽  
Hydrus 1D

Abstract. The sensitivity of groundwater recharge to different climate conditions was simulated using the approach of climatic analogue stations, i.e. stations presently experiencing climatic conditions corresponding to a possible future climate state. The study was conducted in the context of a safety assessment of a future near-surface disposal facility for low and intermediate level short-lived radioactive waste in Belgium; this includes estimation of groundwater recharge for the next millennia. Groundwater recharge was simulated using the Richards based soil water balance model HYDRUS-1D and meteorological time series from analogue stations. This study used four analogue stations for a warmer subtropical climate with changes of average annual precipitation and potential evapotranspiration from −42% to +5% and from +8% to +82%, respectively, compared to the present-day climate. Resulting water balance calculations yielded a change in groundwater recharge ranging from a decrease of 72% to an increase of 3% for the four different analogue stations. The Gijon analogue station (Northern Spain), considered as the most representative for the near future climate state in the study area, shows an increase of 3% of groundwater recharge for a 5% increase of annual precipitation. Calculations for a colder (tundra) climate showed a change in groundwater recharge ranging from a decrease of 97% to an increase of 32% for four different analogue stations, with an annual precipitation change from −69% to −14% compared to the present-day climate.

A Penalty-Free Method with Trust Region for Nonlinear Semidefinite Programming

2015 ◽  
Vol 32 (01) ◽  
pp. 1540006 ◽  
Author(s):  
Zhongwen Chen ◽  
Shicai Miao
Keyword(s):  
Semidefinite Programming ◽  
Objective Function ◽  
Penalty Function ◽  
Trust Region ◽  
Numerical Results ◽  
New Method ◽  
Penalty Parameter ◽  
Nonlinear Semidefinite Programming ◽  
Globally Convergent ◽  
Nonlinear Objective Function

In this paper, we propose a class of new penalty-free method, which does not use any penalty function or a filter, to solve nonlinear semidefinite programming (NSDP). So the choice of the penalty parameter and the storage of filter set are avoided. The new method adopts trust region framework to compute a trial step. The trial step is then either accepted or rejected based on the some acceptable criteria which depends on reductions attained in the nonlinear objective function and in the measure of constraint infeasibility. Under the suitable assumptions, we prove that the algorithm is well defined and globally convergent. Finally, the preliminary numerical results are reported.

Assessment of interbasin groundwater flows between catchments using a semi-distributed water balance model

2014 ◽  
Vol 519 ◽  
pp. 1848-1858 ◽  
Author(s):  
Francisco Pellicer-Martínez ◽  
José Miguel Martínez-Paz
Keyword(s):  
Water Balance ◽  
Water Balance Model ◽  
Balance Model
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