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Improving extreme hydrologic events forecasting using a new criterion for ANN selection

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Abstract

The issue of selecting appropriate model input parameters is addressed using a peak and low flow criterion (PLC). The optimal artificial neural network (ANN) models selected using the PLC significantly outperform those identified with the classical root-mean-square error (RMSE) or the conventional Nash–Sutcliffe coefficient (NSC) statistics. The comparative forecast results indicate that the PLC can help to design an appropriate ANN model to improve extreme hydrologic events (peak and low flow) forecast accuracy. Copyright © 2001 John Wiley & Sons, Ltd.

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... PK emphasizes the model's capability in estimating daily extreme events, wherein a PK value ranging 0.1-0.15 can be thought of as good model performance (a perfect model would yield a zero PK) (Coulibaly et al., 2001). PK is calculated as ...
... where n p is the number of peak flows greater than one-third of the observed average daily peak streamflow, Q pi is the observed daily flow, and b Q pi is the simulated daily streamflow (Coulibaly et al., 2001). RB, on the contrary, emphasizes the simulation accuracy on annual streamflow rather than daily extremes, as follows ...
... Over the SRB as a whole, the calibrated VIC model successfully captures the timing of peak flow and the daily and monthly magnitudes during the calibration period (Fig. 3). The PK values for all watersheds are less than the criteria identified by Coulibaly et al. (2001); this indicates that the model captures peak flows relatively well (Table 6). All RB values from these four watersheds are less than 15%, while Watershed-3 has the least bias of À0.3% (Table 6). ...
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Increases in wildfire occurrence and severity under an altered climate can substantially impact terrestrial ecosystems through enhancing runoff erosion. Improved prediction tools that provide high resolution spatial information are necessary for location-specific soil conservation and watershed management. However, quantifying the magnitude of soil erosion and its interactions with climate, hydrological processes, and fire occurrences across a large region (>10,000 km2) is challenging because of the large computational requirements needed to capture the fine-scale complexities of the land surface that govern erosion. We apply the physically-based coupled Variable Capacity Infiltration-Water Erosion Prediction Project (VIC-WEPP) model to study how wildfire occurrences can enhance soil erosion in a future climate over a representative watershed in the northern Rocky Mountains - the Salmon River Basin (SRB) in central Idaho. While the VIC model simulates hydrologic processes at larger scales, the WEPP model simulates erosion at the hillslope scale by sampling representative hillslopes.
... However, when only the auto-correlated factors are used, the predictive performance is determined by the statistical characteristics of the runoff time series [27]. And many studies have demonstrated that the number and selection process of predictors will influence the predictive performance significantly [21,50,51]. Therefore, considering the teleconnection between the hydrological factors and climate factors (SSTA, atmospheric circulation factors), many studies select climate factors as predictors and obtain more accurate predictions with longer forecast lead times [40,52,53]. ...
... Similarly to the MLP model, the BSVR model is also used to establish the Xt-Yt relationship. But the BSVR and MLP models have different model structures and parameters, which can be found in some previous studies [16,51,[64][65][66]68]. Based on the BSVR model, the BSVRARD model proposed the ARD kernel to discriminate the importance of predictors [64][65][66]. ...
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Accurate and reliable mid-to-long-term runoff prediction (MLTRP) is of great importance in water resource management. However, the MLTRP is not suitable in each basin, and how to evaluate the applicability of MLTRP is still a question. Therefore, the total mutual information (TMI) index is developed in this study based on the predictor selection method using mutual information (MI) and partial MI (PMI). The relationship between the TMI and the predictive performance of five AI models is analyzed by applying five models to 222 forecasting scenarios in Australia. This results in over 222 forecasting scenarios which demonstrate that, compared with the MI, the developed TMI index can better represent the available information in the predictors and has a more significant negative correlation with the RRMSE, with a correlation coefficient between −0.62 and −0.85. This means that the model’s predictive performance will become better along with the increase in TMI, and therefore, the developed TMI index can be used to evaluate the applicability of MLTRP. When the TMI is more than 0.1, the available information in the predictors can support the construction of MLTRP models. In addition, the TMI can be used to partly explain the differences in predictive performance among five models. In general, the complex models, which can better utilize the contained information, are more sensitive to the TMI and have more significant improvement in terms of predictive performance along with the increase in TMI.
... Quasi-Newton algorithms in comparison give better and faster optimization however they take more time to compute due to the requirement of gradient information from the previous iteration and are therefore prone to memory issues [39]. Levenberg-Marquardt (LM) algorithm is faster and does not get trapped with local minima when compared with other optimization algorithms [40][41][42][43]. The disadvantage of LM is while minimizing a nonlinear leastsquares function, it can suffer from a slow convergence [44] and the memory and computation overhead caused due to the calculation of the gradient and approximated Hessian matrix is also a limitation [45]. ...
... The disadvantage of LM is while minimizing a nonlinear leastsquares function, it can suffer from a slow convergence [44] and the memory and computation overhead caused due to the calculation of the gradient and approximated Hessian matrix is also a limitation [45]. BR algorithm is more robust than other backpropagation learning algorithms as it reduces or eliminates the need for lengthy cross-validation, it eliminates over train and over fitting issues irrespective to size of the network by choosing optimal network parameters [40][41][42]. Compared to LM, BR takes more training time. ...
Article
The challenge in harvesting Salinity Gradient Power (SGP) through pressure retarded osmosis (PRO) requires design of high power density (PD) membranes and optimized process for operation. Recent studies show that for a feasible PRO operation the minimum net PD should be around 50 W/m². In this study, a data-driven approach has been adopted for designing optimum membranes as well as operating conditions. 200 papers, from last decade, were extensively reviewed and 34 experimental research articles were shortlisted for possible data mining, to predict water flux (WF) and PD. Comprehensive screened/pre-processed data related to both membrane and process (16 inputs) was obtained from 18 articles amounting to 339 data points. Two artificial neural network (ANN) models were explored (i) Levenberg-Marquardt (ANN-LM), and (ii) Bayesian Regularization (ANN-BR) along with a combination of three different activation functions i.e., hyperbolic tangent sigmoid transfer function (Tan-Sigmoid), logarithmic sigmoid transfer function (Log-Sigmoid) in the input and output layers. Out of the six resulting combinations, the best performing combination was found to be Tan-Sigmoid activation function in both layers with ANN-BR model having an R² value of 0.97 for WF and 0.98 for PD. Membrane properties like the type of membrane, thickness, and water permeability coefficient were found to be the major contributing factors for the prediction of WF while for PD, operating conditions such as applied pressure were found to play the major contributing factor (10–16 %). Optimization results yield a maximum WF of 147 LMH and PD of 87 W/m². These results were compared with the solution diffusion (S-D) model.
... ANN is a mathematical model of the structure and function inspired by the organization and function of the human brain [3]. ANN able to handle data on non linear, more tolerant to noise ratio of the system and tend to produce the prediction error low ( [4], [5], [6], [7]). The advantages of ANN expected to solve the problems. ...
... This software able to displays the biscuit shelf-life predictions acquired of integrating capacitance sensor with low frequency and ANN. This capability accordance with the opinion of previous researchers ( [4], [6], [5], [7]) that the ANN is able to handle the non linear data, more tolerant of noise system and tend to produce a low prediction error. ...
Article
Capacitance sensors integrated with ANN may possibly to be implemented in solving disadvantages of some shelf-life prediction methods that currently used. The aims of this research are to (1) design a circuit sensors that can measure capacitance value, (2) Design a Artificial Neural Network models to predict the shelf-life of biscuit, (3) Integrate capacitance sensor and ANN that can be applied to predict in real time. In reducing noise occurred commonly the frequency value was not set at single value, therefore the value set up in range is set at 5 kHz-6 kHz. ANN learning algorithm used backpropagation by trial and error the activation function, learning function, the number of nodes per hidden layer, and the number of hidden layer. ANN models are integrated by using a dielectric sensor interface built with MATLAB GUI toolbox through AVR microcontroller ATMega 8535. ANN integrated with capacitance parameters was very good for predicting the shelf-life of biscuit with training performance MSE 0.0001 and R 99.86%. ANN architecture with the best training performance contain 5 hidden layers, 10 nodes per hidden layer, tansig as the hidden layer activation function, purelin as the output layer activation function, trainlm as learning function and 86 epoch. Integration of ANN and capacitance sensors have the ability to predict the shelf-life of biscuit in real time. The performance of intelligent real-time system in predict the shelf-life of biscuit is fairly accurate (≤30%). The results of this study can be used as an alternative method for measuring shelf-life biscuit. This study also showed low frequencies can be used to measure the capacitance as well. Therefore, the integration of ANN and sensor capacitance can minimize time and make cost effective.
... However, when only the auto-correlated factors are used, the predictive performance is determined by the statistical characteristics of the runoff time series [27]. And many studies demonstrated that the number and selection process of predictors will influence the predictive performance significantly [21,41,42]. Therefore, considering the teleconnection between the hydrological factors and climate factors (SSTA, atmospheric circulation factors), many studies select climate factors as predictors and obtain more accurate predictions with longer forecast lead time [43][44][45]. ...
Preprint
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Accurate and reliable mid-long runoff prediction (MLTRP) is of great importance in water re-sources management. However the MLTRP is not suitable in each basin and how to evaluate the applicability of MLTRP is still a question. Therefore, the total mutual information (TMI) index is developed in this study based on the predictor selection method using mutual information (MI) and partial MI (PMI). The relationship between the TMI and the predictive performance of five models is analyzed by applying five models in 222 forecasting scenarios in Australia. The results over 222 forecasting scenarios demonstrate that, compared with the MI, the developed TMI index can better represent the available information in the predictors, and has more significant negative correlation with the RRMSE with the correlation coefficient between -0.62 and -0.85. This means the model's predictive performance will become better along with the increase of TMI, and there-fore the developed TMI index can be used to evaluate the applicability of MLTRP. When TMI is more than 0.1, the available information in the predictors can support the construction of MLTRP models. In addition, the TMI is used to partly explain the difference of predictive performance among five models. In general, the complex models, which can better utilize the contained infor-mation, are more sensitive to the TMI, and have more significant improvement in terms of predic-tive performance along with the increase of TMI. This research can provide support for the study of MLTRP.
... The use of soft computing tools for flood forecasting is much popular in the literature (see Mousavi et al. 2018) and artificial neural networks (ANN) perhaps the most popular one because of being the first recognized tool in the soft computing family of tools and its ability modeling complex nonlinear relationships between multiple physical processes (Sudheer et al. 2002;Hsu et al. 2002;Kisi and Cigizoglu 2007;Wu and Chau 2011). Some of the other studies have used a diverse set of artificial intelligence (AI) approaches or their integrated variants to predict various hydrometeorological variables worldwide (Coulibaly et al. 2001;Sudheer and Jain 2004;Jain and Kumar 2007). Mukerji et al. (2009) performed the flood forecasting of Jamtara gauging site of the Ajay River Basin in Jharkhand, India, using ANN, adaptive neuro-fuzzy inference system (ANFIS) and adaptive neuro-genetic algorithm (GA) hybrid model. ...
Article
Large-scale climatic circulation modulates the weather patterns around the world. Understanding the teleconnections between large-scale circulation and local hydro-climatological variables has been a major thrust area of hydro-climatology research. The large-scale circulation is often quantified in terms of sea surface temperature (SST) and sea-level pressure (SLP). In this paper, we investigate the potential of wavelet neural network (WNN) hybrid model to predict maximum monthly discharge of the Madarsoo watershed, North of Iran considering two large-scale climatic signals like SST and SLP as inputs. Error measures like root-mean-square error (RMSE), and mean absolute error along with the correlation measures like coefficient of correlation (R), and Nash–Sutcliffe coefficient (CNS) were used to quantify the performance of prediction of maximum monthly discharge of three different hydrometry stations of the watershed. In all the cases, the WNN hybrid machine learning model was found to be giving superior performance consistently against the standalone artificial neural network (ANN) model and multiple linear regression model to predict the flood discharges of March and August months. The prediction of flood for August which is more devastating is found to be slightly better than the prediction of floods of March, in the stations served with smaller drainage area. The RMSE, R and CNS of Tamer hydrometry station in August were found to be 0.68, 0.996, and 0.99 m3/s, respectively, for the test period by using WNN model against 1.55, 0.989 and 0.95 by ANN model. Moreover, when evaluated for predicting the maximum monthly discharge in March and August between 2012 and 2013, the wavelet-based neural networks performed remarkably well than the ANN.
... A nonstationary generalised additive model-based approach for modelling sample extremes has been demonstrated for the estimation of extreme winter temperatures [47]. Potentials for a new criterion based on peak/low flow regime for the selection of an ANN model was investigated for improving the forecasting of extreme hydrological events [48]. ...
Article
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Water is essential to all lifeforms including various ecological, geological, hydrological, and climatic processes/activities. With the changing climate, associated El Niño/Southern Oscillation (ENSO) events appear to stimulate highly uncertain patterns of precipitation (P) and evapotranspiration (EV) processes across the globe. Changes in P and EV patterns are highly sensitive to temperature (T) variation and thus also affect natural streamflow processes. This paper presents a novel suite of stochastic modelling approaches for associating streamflow sequences with climatic trends. The present work is built upon a stochastic modelling framework (HMM_GP) that integrates a hidden Markov model (HMM) with a generalised Pareto (GP) distribution for simulating synthetic flow sequences. The GP distribution within the HMM_GP model aims to improve the model’s efficiency in effectively simulating extreme events. This paper further investigated the potential of generalised extreme value distribution (GEV) coupled with an HMM model within a regression-based scheme for associating the impacts of precipitation and evapotranspiration processes on streamflow. The statistical characteristic of the pioneering modelling schematic was thoroughly assessed for its suitability to generate and predict synthetic river flow sequences for a set of future climatic projections, specifically during ENSO events. The new modelling schematic can be adapted for a range of applications in hydrology, agriculture, and climate change.
... A non-stationary generalised additive models-based approach for modelling sample extremes has been demonstrated for the estimation of extreme winter temperatures [47]. Potentials for a new criterion based on peak/low flow regime for selection of ANN model has been investigated for improving the forecasting of extreme hydrological events [48]. ...
Preprint
Full-text available
Water is essential to all life-forms including various ecological, geological, hydrological, and climatic processes/activities. With changing climate, associated El Nino/Southern Oscillation (ENSO) events appear to stimulate highly uncertain patterns of precipitation (P) and evapotranspiration (EV) processes across the globe. Changes in P and EV patterns are highly sensitive to temperature variation and thus also affecting natural streamflow processes. This paper presents a novel suite of stochastic modelling approaches for associating streamflow sequences with climatic trends. The present work is built upon a stochastic modelling framework HMM_GP that integrates a Hidden Markov Model with a Generalised Pareto distribution for simulating synthetic flow sequences. The GP distribution within HMM_GP model is aimed to improve the model's efficiency in effectively simulating extreme events. This paper further investigated the potentials of Generalised Extreme Value Distribution (EVD) coupled with an HMM model within a regression-based scheme for associating impacts of precipitation and evapotranspiration processes on streamflow. The statistical characteristic of the pioneering modelling schematic has been thoroughly assessed for their suitability to generate/predict synthetic river flows sequences for a set of future climatic projections. The new modelling schematic can be adapted for a range of applications in the area of hydrology, agriculture and climate change.
... where T P shows the number of peak flows which are greater than one third of the mean peak value of the observed flow, Q t o and Q t s indicates observed and simulated runoff (cubic meter per second) at time step t, V o and V s are the volume of the flow (million cubic meter) from the observed and simulated hydrographs, T is the length of the data timeseries and Q o is the average of the observed runoff. PFC is used to evaluate the simulation performance of the model for extreme values and peak flows [88]. A PFC of zero shows a perfect simulation [89]. ...
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An integrated framework was employed to develop probabilistic floodplain maps, taking into account hydrologic and hydraulic uncertainties under climate change impacts. To develop the maps, several scenarios representing the individual and compounding effects of the models’ input and parameters uncertainty were defined. Hydrologic model calibration and validation were performed using a Dynamically Dimensioned Search algorithm. A generalized likelihood uncertainty estimation method was used for quantifying uncertainty. To draw on the potential benefits of the proposed methodology, a flash-flood-prone urban watershed in the Greater Toronto Area, Canada, was selected. The developed floodplain maps were updated considering climate change impacts on the input uncertainty with rainfall Intensity–Duration–Frequency (IDF) projections of RCP8.5. The results indicated that the hydrologic model input poses the most uncertainty to floodplain delineation. Incorporating climate change impacts resulted in the expansion of the potential flood area and an increase in water depth. Comparison between stationary and non-stationary IDFs showed that the flood probability is higher when a non-stationary approach is used. The large inevitable uncertainty associated with floodplain mapping and increased future flood risk under climate change imply a great need for enhanced flood modeling techniques and tools. The probabilistic floodplain maps are beneficial for implementing risk management strategies and land-use planning.
... CE is a more stringent goodness-of-fit statistics than RE and is commonly known as the Nash-Sutcliffe coefficient (Nash and Sutcliffe, 1970). PFC and LFC (Coulibaly et al., 2001) show the goodness-of-fit of HBR on predicted extremely dry and wet periods. Smaller PFC and LFC values, closer to 0, means more representative predicted extreme peak and low flow values, respectively. ...
Article
Given the challenge to estimate representative long-term natural variability of streamflow from limited observed data, a hierarchical, multilevel Bayesian regression (HBR) was developed to reconstruct the 1489–2006 annual streamflow data at six Athabasca River Basin (ARB) gauging stations based on 14 tree ring chronologies. Seven nested models were developed to maximize the applications of available tree ring predictors. Based on results of goodness-of-fit tests, the HBR developed was skillful and reliable in reconstructing the streamflow of ARB. From five centuries of reconstructed streamflow for ARB, five or six abrupt change points are detected. The streamflow time series obtained from a backward moving, 46-year window for six gauging sites in ARB vary significantly over five centuries (1489–2006) and at times could exceed the 90% and/or 95% confidence intervals, denoting significant non-stationarities. Apparently changes in the mean state and the lag-1 autocorrelation of reconstructed streamflow across the gauging sites can be similar or radically different from each other. These nonstationary features imply that the default stationary assumption is not applicable in ARB. Further, the reconstructed streamflow shows statistically significant oscillations at interannual, interdecadal and multidecadal time scales and are teleconnected to climate patterns such as El Niño Southern Oscillation (ENSO), Pacific Decadal Oscillation (PDO) and Atlantic Multi-decadal Oscillation (AMO). A composite analysis shows that La Niña (El Niño), cold (warm) PDO, and cold (warm) AMO events are typically associated with increased (decreased) streamflow anomalies of ARB. The reconstructed streamflow data provides us the full range of streamflow variability and recurrence characteristics of extremes spanned over five centuries from which it is useful for us to evaluate and manage the current water systems of ARB more effectively and a better risk analysis of future droughts of ARB.
... As such, it was decided that three nodes in the hidden layer was a sound tradeoff between modeling quality and network training complexity. Three hidden nodes are also suggested in the literature (Coulibaly et al., 2001;Daliakopoulos et al., 2005;Djurovic et al., 2015;Tsanis et al., 2008). ...
Article
The catchment of the Toplica River, situated in an underdeveloped region of southern Serbia, is studied to examine the potential impact of climate change on the hydrologic regime of mountainous catchments. The study projects precipitation (P), air temperature (T), potential evapotranspiration (PET), and discharge (Q) in the entire catchment, as well as groundwater level (GWL) variation in the lowland part of the catchment, according to scenarios RCP4.5 and RCP8.5. Projections of P and T are based on the results of a multimodel ensemble of seven regional climate models from the EURO-CORDEX project. Runoff is simulated by a calibrated HBV-light model. The correlation between GWL and river discharge was modeled by soft computing techniques of artificial neural networks (ANN). The projections pertain to the period from 2021 to 2100. The Mann-Kendall trend test is used to check for a trend and its statistical significance, and the Mann-Whitney test to examine the statistical significance of a change in the mean ensemble median of time-series for the near future (2021-2050) and distant future (2071-2100), relative to the reference period (1971-2000). No notable changes are expected on an annual scale in the study area. However, the results show that the current non-uniformity of the monthly water distribution is growing. In the winter months at the end of the century, in RCP8.5, P and T are expected to increase, as is Q (by as much as 29-50%). Groundwater responds to increased river discharges by reduced depths to groundwater (increased GWL). A higher Q increases the flood risk in the winter months. In the warm season, RCP8.5 predicts a decrease in Q and increase in the depth to groundwater in the distant future. Reduced quantities of water in the warm period might have an adverse effect on drinking water supply, agriculture, hydropower, fisheries, ecology, and tourism in the study area.
... To evaluate the performance of the corrected datasets, several widely used statistical indices for both precipitation and hydrological simulation were adopted . We also used two other indicators, peak flow criterion (PFC) (Coulibaly et al., 2001) and the exceedance probabilities of flow (EPF) (Wu et al., 2018), to evaluate the simulation of high flow. The description, equations, and perfect values of those indices are listed in Table 2. ...
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Gridded precipitation products have the advantages of wide spatial coverage and high spatiotemporal resolution compared to conventional rain-gauge data, and have been extensively applied in hydrology-related research. As one of the most representative of the gridded precipitation products, APHRODITE performs well in most regions over Asia except around the Tibetan Plateau. This study implemented four bias correction methods including both mean-based (LS, LOCI) and distribution-based approaches (CDF, LS_CDF) for APHRODITE data over the Yarluzangbu-Brahmaputra River Basin based on different climate zones, and the correction methods were assessed according to the performance of both statistical indices and hydrological simulation. First, it was found that the APHRODITE data underestimated the precipitation amount and overestimated the number of raindays for the entire study region; and the bias is relatively small in upstream (Tibetan Plateau) and large in downstream (floodplains). Second, the result showed that all four correction methods could effectively improve the precipitation estimates of the APHRODITE data and the combined LS_CDF method performed the best because of its greater spatial consistency advantages of bias and closer matching of the wet-day event and cumulative frequency. Hydrological performance also supports that the LS_CDF method is the best due to the fine driving simulation result for all three hydrological stations during long periods and the ability to better force simulation of extreme runoff. Third, this study also found that even though distribution-based approaches performed well in precipitation correction, especially for extreme precipitation, their correction effects also depend on the spatial consistency of the bias, which is even more important than frequency matching. These findings have certain reference values for the evaluation, correction, and application of grid precipitation data, not only for APHRODITE data, but also satellite and reanalysis precipitation data.
... In this order, low flow criteria (LFC), Eq. (16), and peak flow criteria (PFC), Eq. (17), are used for influent parameters. These criteria were introduced by Coulibaly et al. (2001) to measure the forecasting accuracy of extreme hydrological events. ...
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Sewage treatment plants (STPs) keep sewage contamination within safe levels and minimize the risk of environmental disasters. To achieve optimum operation of an STP, it is necessary for influent parameters to be measured or estimated precisely. In this research, six well-known influent chemical and biological characteristics, i.e., biochemical oxygen demand (BOD), chemical oxygen demand (COD), Ammoniacal Nitrogen (NH3-N), pH, oil and grease (OG) and suspended solids (SS), were modeled and predicted using the Sugeno fuzzy logic model. The membership function range of the fuzzy model was optimized by ANFIS, the integrated Genetic algorithms (GA), and the integrated particle swarm optimization (PSO) algorithms. The results were evaluated by different indices to find the accuracy of each algorithm. To ensure prediction accuracy, outliers in the predicted data were found and replaced with reasonable values. The results showed that both integrated GA-FIS and PSO-FIS algorithms performed at almost the same level and both had fewer errors than ANFIS. As the GA-FIS algorithm predicts BOD with fewer errors than PSO-FIS and the aim of this study is to provide an accurate prediction of missing data, GA-FIS was only used to predict the BOD parameter; the other parameters were predicted by PSO-FIS algorithm. As a result, the model successfully could provide outstanding performance for predicting the BOD, COD, NH3-N, OG, pH and SS with MAE equal to 3.79, 5.14, 0.4, 0.27, 0.02, and 3.16, respectively.
... The artificial intelligence and statistical methods have been widely used in hydrology and water resources [1,7,18,22,25,29,32]. However, there have been relatively few studies involving the application of these methods in modeling of snow parameters [34,36,38]. ...
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Snow water equivalent (SWE) is a key parameter in hydrological cycle, and information on regional SWE is required for various hydrological and meteorological applications, as well as for hydropower production and flood forecasting. This study compares the snow depth and SWE estimated by multivariate linear regression (MLR), discriminant function analysis, ordinary kriging, ordinary kriging-multivariate linear regression, ordinary krigingdiscriminant function analysis, artificial neural network (ANN) and neural network-genetic algorithm (NNGA) models. The analysis was performed in the 5.2 km2 area of Samsami basin, located in the southwest of Iran. Statistical criteria were used to measure the models’ performances. The results indicated that NNGA, ANN and MLR methods were able to predict SWE at the desirable level of accuracy. However, the NNGA model with the highest coefficient of determination (R2 = 0.70, P value\0.05) and minimum root mean square error (RMSE = 0.202 cm) provided the best results among the other models. The lower SWE values were registered in the east of study area and higher SWE values appeared in the west of study area where altitude was higher.
... Because the RMSE results of both NAR and SVM models selected were close and the primary shows the average error and overall performance of the model, more indicators are needed to give more detail evaluation results in each range of data. The relative error (RE), peak flow criterion (PFC) and low flow criterion (LFC) were used to examine the accuracy of the two models (Coulibaly et al. 2001;El-Shafie et al. 2009). Lower PFC or LFC means the model provides a better fit. ...
Article
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The function of a sewage treatment plant is to treat the sewage to acceptable standards before being discharged into the receiving waters. To design and operate such plants, it is necessary to measure and predict the influent flow rate. In this research, the influent flow rate of a sewage treatment plant (STP) was modelled and predicted by autoregressive integrated moving average (ARIMA), nonlinear autoregressive network (NAR) and support vector machine (SVM) regression time series algorithms. To evaluate the models’ accuracy, the root mean square error (RMSE) and coefficient of determination (R2) were calculated as initial assessment measures, while relative error (RE), peak flow criterion (PFC) and low flow criterion (LFC) were calculated as final evaluation measures to demonstrate the detailed accuracy of the selected models. An integrated model was developed based on the individual models’ prediction ability for low, average and peak flow. An initial assessment of the results showed that the ARIMA model was the least accurate and the NAR model was the most accurate. The RE results also prove that the SVM model’s frequency of errors above 10% or below − 10% was greater than the NAR model’s. The influent was also forecasted up to 44 weeks ahead by both models. The graphical results indicate that the NAR model made better predictions than the SVM model. The final evaluation of NAR and SVM demonstrated that SVM made better predictions at peak flow and NAR fit well for low and average inflow ranges. The integrated model developed includes the NAR model for low and average influent and the SVM model for peak inflow.
... It is shown that the incorporation of Levenberg-Marquardt algorithm into backpropagation algorithm speeds up the process of convergence (Hagan and Menjah, 1994), therefore we used this algorithm for training the networks. The adequacy of the ANN is evaluated by considering the coefficient of determination (R 2 ), also the values of root mean square error (RMSE), normal root mean square error (NRMSE), mean absolute error (MAE) and Normal mean absolute error (NMAE) are used as the index to check the ability of model(Coulibaly et al., 2001;Kumar et al., 2002;Coppola et al., 2003;Asghari Moghaddam, 2006;Maedeh et al., 2013). ANN (NeuroSolutions 5.06, NeuroDimension, Inc., Gainesville, Florida) was implemented on experimental output. ...
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The aim of this study is to determine the appropriateness of the field measurements for the effectiveness of nutrients removal of Phragmites australis (Cav.) Trin. Ex. Steudel by applying artificial neural network (ANN) and also evaluate the removal capacity of LECA (light expanded clay aggregate) in a horizontal subsurface flow constructed wetland (SSFW). Two laboratory scale reactors were operated with weak and strong synthetic domestic wastewater continuously. One unit was planted with P. australis and the other unit remained unplanted (control reactor). The best performance was achieved with strong domestic wastewater treatment, the average removal efficiencies obtained from the evaluation of the system were 70.15% and 65.29% for TN, 66% and 57.4% for NH4-N, 61.64% and 67.37% for TP and, 66.52% and 51.7% for OP in planted and unplanted reactors, respectively. The average NO3-concentration was 0.90 mg l⁻¹ in the influent and 0.47 mg l⁻¹ and 0.60 mg l⁻¹ from planted and unplanted reactors, respectively. The average NO2⁻ concentration was 0.80 mg l⁻¹ in the influent and 0.56 mg l-1 and 0.88 mg l⁻¹ from planted and unplanted reactors, respectively. Based on the obtained results, this system has potential to be an applicable system to treat strong domestic wastewater. The data obtained in this study was assessed using NeuroSolutions 5.06 model. Each sample was characterized using eight independent variables (hydraulic retention time (HRT), dissolved oxygen (DO), pH, temperature (T), ammonium- nitrogen (NH4-N), nitrate (NO3⁻), nitrite (NO2⁻), ortho-phosphate (OP), and two dependent variable (total nitrogen (TN) and total phosphorus (TP)). The correlation coefficients between the neural network estimates and field measurements were as high as 0.9463 and 0.9161 for TN and TP, respectively. The results indicated that the adopted Levenberg-Marquardt back-propagation algorithm yields satisfactory estimates with acceptably low MSE values. Besides, the support matrix may play an important role in the system. The constructed wetland planted with P. australis and with LECA as a support matrix may be a good option to encourage and promote the prevention of environmental pollution.
... Numerous water resource indicators (WRIs) were proposed to depict flow components, such as average monthly, seasonal and annual flows, magnitude and timing of peak or low flows (Shrestha et al., 2013). Moreover, the prediction of extreme events (floods and droughts) was taken more and more seriously because of their disastrous damages to society, economy and environment, especially in the arid and semi-arid regions (Smakhtin, 2001;Coulibaly et al., 2001;Held et al., 2005;Kumar et al., 2010). However, the simulation performances of WRIs were still far from satisfactory, particularly for the low flow events (Wenger et al., 2010;Staudinger et al., 2011;Pushpalatha et al., 2012;Shrestha et al., 2013). ...
Article
Flow regimes (e.g., magnitude, frequency, variation, duration, timing and rating of change) play a critical role in water supply and flood control, environmental processes, as well as biodiversity and life history patterns in the aquatic ecosystem. The traditional flow magnitude-oriented calibration of hydrological model was usually inadequate to well capture all the characteristics of observed flow regimes. In this study, we simulated multiple flow regime metrics simultaneously by coupling a distributed hydrological model with an equally weighted multi-objective optimization algorithm. Two headwater watersheds in the arid Hexi Corridor were selected for the case study. Sixteen metrics were selected as optimization objectives, which could represent the major characteristics of flow regimes. Model performance was compared with that of the single objective calibration. Results showed that most metrics were better simulated by the multi-objective approach than those of the single objective calibration, especially the low and high flow magnitudes, frequency and variation, duration, maximum flow timing and rating. However, the model performance of middle flow magnitude was not significantly improved because this metric was usually well captured by single objective calibration. The timing of minimum flow was poorly predicted by both the multi-metric and single calibrations due to the uncertainties in model structure and input data. The sensitive parameter values of the hydrological model changed remarkably and the simulated hydrological processes by the multi-metric calibration became more reliable, because more flow characteristics were considered. The study is expected to provide more detailed flow information by hydrological simulation for the integrated water resources management, and to improve the simulation performances of overall flow regimes.
... In order to achieve this goal, many researchers have been using intelligent systems such as artificial neural networks. Among the significant researchs can be mentioned to Coulibaly et al. 2001bCoulibaly et al. , 2001cMania 2003a, 2003b;Daliakopoulos et al. 2005;Lallahem et al. 2005;Dogan et al. 2008;Nourani et al. 2008;Tsanis et al. 2008;Yang et al. 2009;Sreekanth et al. 2009 andBoucher et al. 2009, which used artificial neural networks for aquifer modeling in diverse basins. A more detailed review of artificial neural network (ANN) applications can be found in Maier and Dandy (2000) and Maier et al. (2010). ...
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Groundwater always has been considered as one of the major sources of drinking and agricultural water supply, especially in arid and semi-arid zones. Thus, there is a need to simulate (i.e., forecast) groundwater levels with an acceptable accuracy. In this paper, we present two applications of intelligent optimization algorithms for simulations of monthly groundwater levels in an unconfined coastal aquifer sited in the Shabestar plain, Iran. First, the backpropagation neural network (ANN-BP) with seven neurons in its hidden layer is utilized to reproduce groundwater-level variations using the external input variables including the following: rainfall, average discharge, temperature, evaporation, and annual time series. In the next application, ant colony optimization is used to optimize and find initial connection weights and biases of a BP algorithm during the training phase (ACOR-BP). The results were found to be acceptable in terms of accuracy and demonstrated that a hybrid ACOR-BP model is a much more rigorous fitting prediction tool for groundwater-level forecasting. This study has shown that such a hybrid network can be used as viable alternative to physical-based models for simulating the reactions of the aquifer under conceivable future scenarios. In addition, it may be useful for reconstructing long periods of missing historical observations of the influencing variables.
... These relationships provide a more accurate measure of the model performance than the RMSE for the both peak and low period of rainfall (Coulibaly et al. 2001). It is worth noting that the PVC and LVC equal to zero represents a perfect fit of model to data. ...
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The extent of the noise on hydrological data is inevitable, which reduces the efficiency of Data-Driven Models (DDMs). Despite of this fact that the DDMs such as Artificial Neural Network (ANN) are capable of nonlinear functional mapping between a set of input and output variables, but refining of the time series through data pre-processing methods can provide with the possibility to increase the performance of these set of models. The main objective of this study is to propose a new method called Optimized Threshold- Based Wavelet De-noising technique (OTWD) to de-noise hydrological time series and improve the prediction accuracy while the DDM is being used. For this purpose, in the first step, Wavelet-ANN (WNN) model was developed for identifying suitable wavelet function and maximum decomposition level. Afterward, sub-signals of original precipitation time series which were determined in the first step were de-noised by using of OTWD technique. Therefore, these clean sub-signals of precipitation time series were imposed as input data to the ANN to predict the precipitation one time step ahead. The results showed that OTWD technique could improve the efficiency of WNN model dramatically; this outcome was reported by the different efficiency criterions such as Nash-Sutcliffe Efficiency (NSE= 0.92), Root Mean Squared Error (RMSE = 0.0103), coefficient correlation of linear regression (R= 0.93), Peak Value Criterion (PVC= 0.021) and Low Value Criterion (LVC= 0.026). The best fitted WNN model in comparison by proposed model showed weaker performance by the NSE, RMSE, R, PVC and LVC values of 0.86, 0.043, 0.87, 0.034 and 0.045, respectively.
... Obviously, models presented here could further be improved by using longer periods of continuous data in the analysis. In case top priority is given to forecasting extreme events, the NARX-ANN model can be improved by including new performance function networks [53], and the SR model may be improved by dividing the data into extreme and normal groups first, and then modeling each group separately, as proposed by Charhate et al. [54]. In this study, a 16-day interval was considered due to limited NDVI data availability. ...
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Forested catchments in southeast Australia play an important role in supplying water to major cities. Over the past decades, vegetation cover in this area has been affected by major bushfires that in return influence water yield. This study tests methods for forecasting water yield after bushfire, in a forested catchment in southeast Australia. Precipitation and remotely sensed Normalized Difference Vegetation Index (NDVI) were selected as the main predictor variables. Cross-correlation results show that water yield with time lag equal to 1 can be used as an additional predictor variable. Input variables and water yield observations were set based on 16-day time series, from 20 January 2003 to 20 January 2012. Four data-driven models namely Non-Linear Multivariate Regression (NLMR), K-Nearest Neighbor (KNN), non-linear Autoregressive with External Input based Artificial Neural Networks (NARX-ANN), and Symbolic Regression (SR) were employed for this study. Results showed that NARX-ANN outperforms other models across all goodness-of-fit criteria. The Nash-Sutcliffe efficiency (NSE) of 0.90 and correlation coefficient of 0.96 at the training-validation stage, as well as NSE of 0.89 and correlation coefficient of 0.95 at the testing stage, are indicative of potentials of this model for capturing ecological dynamics in predicting catchment hydrology, at an operational level.
... Although the linearity of the rainfallerunoff problem in the Kentucky River basin has not previously been analysed, the general rainfall-runoff problem is well recognised as being highly nonlinear (e.g. Hu et al., 2001;Coulibaly et al., 2001;Dawson et al., 2002;Jain and Indurthy, 2003), and therefore the data are likely to contain a strong nonlinear structure. Consequently, the data for this case study are considered to be highly non-normal and the relationship to be modelled is likely to be highly non-linear. ...
Article
Multi-layer perceptron artificial neural networks are used extensively in hydrological and water resources modelling. However, a significant limitation with their application is that it is difficult to determine the optimal model structure. General regression neural networks (GRNNs) overcome this limitation, as their model structure is fixed. However, there has been limited investigation into the best way to estimate the parameters of GRNNs within water resources applications. In order to address this shortcoming, the performance of nine different estimation methods for the GRNN smoothing parameter is assessed in terms of accuracy and computational efficiency for a number of synthetic and measured data sets with distinct properties. Of these methods, five are based on bandwidth estimators used in kernel density estimation, and four are based on single and multivariable calibration strategies. In total, 5674 GRNN models are developed and preliminary guidelines for the selection of GRNN parameter estimation methods are provided and tested.
... ANNs revealed to be a promising alternative for rainfall-runoff modeling (Ahmad & Simonovic, 2005;Rajukar et al., 2004), streamflow prediction (Muttiah et al., 1997;Maier & Dandy, 2000;Dolling & Varas, 2002;Sivakumar et al., 2002;Kisi, 2004;Cigizoglu & Kisi, 2005;Cigizoglu, 2008) and reservoir inflow forecasting (Saad et al., 1996;Jain et al., 1999). Recently, Coulibaly et al. (2001b) and Kisi & Cigizoglu (2007) reviewed ANN-based models developed over the last years in hydrology, showing the extensive use of multi-layer feed-forward neural networks (FFNN), trained by standard back propagation (BP) algorithm (Magoulas et al., 1999). BPNNs represent a supervised learning method, requiring a large set of complete records, including the target variables. ...
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The identification of suitable models for predicting daily water flow is important for planning and management of water storage in reservoirs of Argentina. Long-term prediction of water flow is crucial for regulating reservoirs and hydroelectric plants, for assessing environmental protection and sustainable development, for guaranteeing correct operation of public water supply in cities like Catriel, 25 de Mayo, Colorado River and potentially also Bahía Blanca. In this paper, we analyze in Buta Ranquil flow time series upstream reservoir and hydroelectric plant in order to model and predict daily fluctuations. We compare results obtained by using a three-layer artificial neural network (ANN), and an autoregressive (AR) model, using 18 years of data, of which the last 3 years are used for model validation by means of the root mean square error (RMSE), and measure of certainty (Skill). Our results point out to the better performance to predict daily water flow or refill them of the ANN model performance respect to the AR model.
... Therefore, we surveyed the literature in the related field of neural models for snow parameter estimation. Machine learning methods have been widely used in hydrology and water resources (Gray and Male, 2004;Coulibaly et al., 2001;Agarwal et al., 2006). In particularly when applied to hydrologic time series modeling and forecasting the NNs have shown better performance than the classical techniques (Gong, 1996a). ...
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This paper reports an experimental study designed for the in-depth investigation of how the radial basis function network (RBFN) estimates snow cover thickness as a function of climate and topographic parameters. The estimation problem is modeled in terms of both function regression and classification, obtaining continuous and discrete thickness values, respectively. The model is based on a minimal set of climatic and topographic data collected from a limited number of stations located in the Italian Central Alps. Several experiments have been conceived and conducted adopting different evaluation indexes. A comparison analysis was also developed for a quantitative evaluation of the advantages of the RBFN method over to conventional widely used spatial interpolation techniques when dealing with critical situations originated by lack of data and limited n-homogeneously distributed instrumented sites. The RBFN model proved competitive behavior and a valuable tool in critical situations in which conventional techniques suffer from a lack of representative data.
... ANNs revealed to be a promising alternative for rainfall-runoff modeling (Ahmad & Simonovic, 2005; Rajukar et al., 2004), streamflow prediction (Muttiah et al., 1997; Maier & Dandy, 2000; Dolling & Varas, 2002; Sivakumar et al., 2002; Kisi, 2004; Cigizoglu & Kisi, 2005; Cigizoglu, 2008) and reservoir inflow forecasting (Saad et al., 1996; Jain et al., 1999). Recently, Coulibaly et al. (2001b) and Kisi & Cigizoglu (2007) reviewed ANN-based models developed over the last years in hydrology, showing the extensive use of multi-layer feed-forward neural networks (FFNN), trained by standard back propagation (BP) algorithm (Magoulas et al., 1999). BPNNs represent a supervised learning method, requiring a large set of complete records, including the target variables. ...
Article
Full-text available
The identification of suitable models for predicting daily water flow is important for planning and management of water storage in reservoirs of Argentina. Long-term prediction of water flow is crucial for regulating reservoirs and hydroelectric plants, for assessing environmental protection and sustainable development, for guaranteeing correct operation of public water supply in cities like Catriel, 25 de Mayo, Colorado River and potentially also Bahía Blanca. In this paper, we analyze in Buta Ranquil flow time series upstream reservoir and hydroelectric plant in order to model and predict daily fluctuations. We compare results obtained by using a three-layer artificial neural network (ANN), and an autoregressive (AR) model, using 18 years of data, of which the last 3 years are used for model validation by means of the root mean square error (RMSE), and measure of certainty (Skill). Our results point out to the better performance to predict daily water flow or refill them of the ANN model performance respect to the AR model.
... The existing set of established metrics is also subject to continuous update and improvement, including contributions from the data-driven modelling community. For example, a new model selection procedure can identify solutions that deliver improved low flow and high flow extreme event forecasts -termed 'Peak and Low Flow Criterion' (Coulibaly et al., 2001b); and there is a much-needed method for integrating a number of different hydrological modelling metrics to provide one composite measure of overall model skill -termed 'Ideal Point Error' (Domínguez et al., 2011;Elshorbagy et al., 2010aElshorbagy et al., , 2010b. Nonetheless, it should still be possible to agree on a core set of standard hydrological modelling metrics for NNRF. ...
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This paper traces two decades of neural network rainfall-runoff and streamflow modelling, collectively termed 'river forecasting'. The field is now firmly established and the research community involved has much to offer hydrological science. First, however, it will be necessary to converge on more objective and consistent protocols for: selecting and treating inputs prior to model development; extracting physically meaningful insights from each proposed solution; and improving transparency in the benchmarking and reporting of experimental case studies. It is also clear that neural network river forecasting solutions will have limited appeal for operational purposes until confidence intervals can be attached to forecasts. Modular design, ensemble experiments, and hybridization with conventional hydrological models are yielding new tools for decision-making. The full potential for modelling complex hydrological systems, and for characterizing uncertainty, has yet to be realized. Further gains could also emerge from the provision of an agreed set of benchmark data sets and associated development of superior diagnostics for more rigorous intermodel evaluation. To achieve these goals will require a paradigm shift, such that the mass of individual isolated activities, focused on incremental technical refinement, is replaced by a more coordinated, problem-solving international research body.
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The global decline of water quality in rivers and streams has resulted in a pressing need to design new watershed management strategies. Water quality can be affected by multiple stressors including population growth, land use change, global warming, and extreme events, with repercussions on human and ecosystem health. A scientific understanding of factors affecting riverine water quality and predictions at local to regional scales, and at sub‐daily to decadal timescales are needed for optimal management of watersheds and river basins. Here, we discuss how machine learning (ML) can enable development of more accurate, computationally tractable, and scalable models for analysis and predictions of river water quality. We review relevant state‐of‐the art applications of ML for water quality models and discuss opportunities to improve the use of ML for emerging computational and mathematical methods for model selection, hyperparameter optimization, incorporating process knowledge into ML models, improving explainablity, uncertainty quantification, and model‐data integration. We then present considerations for using ML to address water quality problems given their scale and complexity, available data and computational resources, and stakeholder needs. When combined with decades of process understanding, interdisciplinary advances in knowledge‐guided ML, information theory, data integration, and analytics can help address fundamental science questions and enable decision‐relevant predictions of riverine water quality. This article is protected by copyright. All rights reserved.
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Advanced human activities, including modern agricultural practices, are responsible for alteration of natural concentration of nitrogen compounds in rivers. Future prediction of nitrogen compound concentrations (especially nitrate-nitrogen and ammonia-nitrogen) are important for countries where household water is obtained from rivers after treatment. Increased concentrations of nitrogen compounds result in the suspension of household water supplies. Artificial Neural Networks (ANNs) have already been deployed for the prediction of nitrogen compounds in various countries. But standalone ANN have several limitations. However, the limitations of ANNs can be resolved using hybrid models. This study proposes a new ACO-ENN hybrid model developed by integrating Ant Colony Optimization (ACO) with an Elman Neural Network (ENN). The developed ACO-ENN hybrid model was used to improve the prediction results of nitrate-nitrogen and ammonia-nitrogen prediction models. The results of new hybrid models were compared with multilayer ANN models and standalone ENN models. There was a significant improvement in the mean square errors (MSE) (0.196→0.049→0.012, i.e. ANN→ENN→Hybrid), mean absolute errors (MAE) (0.271→0.094→0.069) and Nash–Sutcliffe efficiencies (NSE) (0.7255→0.9321→0.984). The hybrid model had outstanding performance compared with the ANN and ENN models. Hence, the prediction accuracy of nitrate-nitrogen and ammonia-nitrogen has been improved using new ACO-ENN hybrid model.
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Few studies have evaluated the impact of climate change on groundwater resources for a region with no pumping well. Indeed, the uncertainty of pumping wells may undesirably influence the results. Therefore, a region without any pumping well was selected to assess the impact of climate change on the karstic spring flow rates. NASA Earth Exchange Global Daily Downscaled Projections (NEX-GDDP) dataset was used to extract the climatic variables for the present (1961–1990) and future (2021–2050) time periods by two Representative Concentration Pathways (RCPs), i.e., RCP4.5 and RCP8.5, in Lali region, southwest Iran. Although this dataset has been already verified, its output was evaluated for Lali region. Then, the impact of climate change on the discharge of Bibitarkhoun karstic spring was examined by the Artificial Neural Network (ANN). In this regard, if considering the daily data, ANN is not trained satisfactorily, because of the spring’s lag time response to the precipitation; if monthly time step is considered, the data would not be adequate. Therefore, the average of some previous days was considered to calculate the variables. The average precipitation is 344, 329, and 324 mm/year and the average temperature is 14.18, 15.98, and 16.3 °C both for the present, future time period under RCP4.5 and future time period under RCP8.5, respectively. The network selected demonstrated no climate change impact on the average of spring discharge. However, the discharge increased by about + 8% in spring and summer and decreased by about − 7% in autumn and winter in the future time period.
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On‐road emission inventories in urban areas have typically been developed using traffic data derived from travel demand models. These approaches tend to underestimate emissions because they often only incorporate data on household travel, not including commercial vehicle movements, taxis, ride hailing services, and other trips typically underreported within travel surveys. In contrast, traffic counts embed all types of on‐road vehicles; however, they are only conducted at selected locations in an urban area. Traffic counts are typically spatially correlated, which enables the development of methods that can interpolate traffic data at selected monitoring stations across an urban road network and in turn develop emission estimates. This paper presents a new and universal methodology designed to use traffic count data for the prediction of periodic and annual volumes as well as greenhouse gas emissions at the level of each individual roadway and for multiple years across a large road network. The methodology relies on the data collected and the spatio‐temporal relationships between traffic counts at various stations; it recognizes patterns in the data and identifies locations with similar trends. Traffic volumes and emissions prediction can be made even on roads where no count data exist. Data from the City of Toronto traffic count program were used to validate the output of various algorithms, indicating robust model performance, even in areas with limited data.
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While the application of neural networks for groundwater level forecasting in general has been investigated by many authors, the use of nonlinear autoregressive networks with exogenous inputs (NARX) is relatively new. For this work NARX were applied to obtain groundwater level forecasts for several wells in southwest Germany. Wells in porous, fractured and karst aquifers were investigated and forecasts of lead times up to half a year were conducted for both influenced (e.g. nearby pumping) and uninfluenced wells. Precipitation and temperature were chosen as predictors, which makes the selected approach easily transferable, since both parameters are widely available and simple to measure. Input and feedback delays were determined by applying STL time series decomposition on the data and using auto- and cross-correlation functions on the remainders to determine significant time lags. Coefficient of determination, (relative) root mean squared error and Nash-Sutcliffe efficiency were used to evaluate forecasts, the model selection was based on an out-of-sample validation on rolling basis. The results are promising and indicate an outstanding suitability of NARX for groundwater level predictions with such a small set of inputs in all three aquifer types.
Chapter
The tremendous progress that has been achieved, through three decades of research, in the applications of chaos theory in hydrology inevitably leads to questions regarding the future of chaos theory in hydrology. Of particular interest is to identify potential areas for further applications and advancement of the theory and possible ways to achieve fruitful outcomes. This chapter addresses these questions. In light of some of the research questions at the forefront of hydrology at the current time and will be in the future, and also looking at some studies that have already addressed these questions from the perspective of chaos theory (albeit rudimentary), several different areas are identified to further advance chaos theory in hydrology. These are: parameter estimation in hydrologic models, simplification in hydrologic model development, integration of different concepts in hydrology, development of catchment classification framework, extensions of chaos studies using multiple hydrologic variables, reconstruction of hydrologic system equations, and downscaling of global climate models. Finally, the need and the potential to establish reliable links between chaos theory, hydrologic data, and hydrologic system physics are also discussed.
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Groundwater is one of the major sources of water. Maintenance and management of this vital resource is so important in arid and semi-arid region. Thus, reliable and accurate groundwater measurement is essential to introduce as a basic data for any groundwater management study. Observation wells are adequate tools for monitoring groundwater level. It is clear that more wells lead to better illustration the groundwater map. The aim of this study is to find the appropriate number and location of wells, having maximum effect on improvement of accuracy of groundwater level map. The number of the added wells should be determined by considering both economic restrictions and the amount of improvement that caused by the added well simultaneously. Hence, genetic algorithm was employed to find the optimum number and location of the wells to be added. The objective function of this algorithm is to maximize the gradient of the inverse mean square error per number of added wells.
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Accurate and reliable prediction of shallow groundwater level is a critical component in water resources management. Two nonlinear models, WA–ANN method based on discrete wavelet transform (WA) and artificial neural network (ANN) and integrated time series (ITS) model, were developed to predict groundwater level fluctuations of a shallow coastal aquifer (Fujian Province, China). The two models were testified with the monitored groundwater level from 2000 to 2011. Two representative wells are selected with different locations within the study area. The error criteria were estimated using the coefficient of determination (R 2), Nash–Sutcliffe model efficiency coefficient (E), and root-mean-square error (RMSE). The best model was determined based on the RMSE of prediction using independent test data set. The WA–ANN models were found to provide more accurate monthly average groundwater level forecasts compared to the ITS models. The results of the study indicate the potential of WA–ANN models in forecasting groundwater levels. It is recommended that additional studies explore this proposed method, which can be used in turn to facilitate the development and implementation of more effective and sustainable groundwater management strategies.
Book
This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goal-oriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can be used as a reference for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for professionals such as petroleum engineers, mining engineers, chemists, mechanical engineers, biologists, biology and medical engineering, applied mathematicians, and others who perform mathematical modeling.
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In this paper, we present an application of evolved neural networks using a real coded genetic algorithm for simulations of monthly groundwater levels in a coastal aquifer located in the Shabestar Plain, Iran. After initializing the model with groundwater elevations observed at a given time, the developed hybrid genetic algorithm-back propagation (GA-BP) should be able to reproduce groundwater level variations using the external input variables, including rainfall, average discharge, temperature, evaporation and annual time series. To achieve this purpose, the hybrid GA-BP algorithm is first calibrated on a training dataset to perform monthly predictions of future groundwater levels using past observed groundwater levels and additional inputs. Simulations are then produced on another data set by iteratively feeding back the predicted groundwater levels, along with real external data. This modelling algorithm has been compared with the individual back propagation model (ANN-BP), which demonstrates the capability of the hybrid GA-BP model. The later provides better results in estimation of groundwater levels compared to the individual one. The study suggests that such a network can be used as a viable alternative to physical-based models in order to simulate the responses of the aquifer under plausible future scenarios, or to reconstruct long periods of missing observations provided past data for the influencing variables is available.
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Modeling of soil water content (SWC) is one of the most studied topics in hydrology due to its essential application to water resources management. In this study, an adaptive neuro fuzzy inference system (ANFIS) method is used to simulate SWC in the extreme arid area. In-situ SWC datasets for soil layers, with depths of 40. cm (layer 1), 60. cm (layer 2) below surface was taken for the present study. The models analyzed different combinations of antecedent SWC values and the appropriate input vector has been selected based on the analysis of residuals. The performance of the ANFIS models in training and validation sets are compared with the observed data. In layer 1, the model which consists of six antecedent values of SWC, has been selected as the best fit model for SWC modeling. On the other hand, which includes two antecedent values of SWC, has been selected as the best fit model for SWC modeling at layer 2. In order to assess the ability of ANFIS model relative to that of the ANN model, the best fit of ANFIS model of layer 1 and layer 2 structures are also tested by two artificial neural networks (ANN), namely, Levenberg-Marquardt feedforward neural network (ANN-1) and Bayesian regularization feedforward neural network (ANN-2). The comparison was made according to the various statistical measures. A detailed comparison of the overall performance indicated that the ANFIS model performed better than both the ANN-1 and ANN-2 in SWC modeling for the validation data sets in this study.
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The research described in this article investigates the utility of Artificial Neural Networks (ANNs) for short term forecasting of streamflow. The work explores the capabilities of ANNs and compares the performance of this tool to conventional approaches used to forecast streamflow. Several issues associated with the use of an ANN are examined including the type of input data and the number, and the size of hidden layer(s) to be included in the network. Perceived strengths of ANNs are the capability for representing complex, non-linear relationships as well as being able to model interaction effects. The application of the ANN approach is to a portion of the Winnipeg River system in Northwest Ontario, Canada. Forecasting was conducted on a catchment area of approximately 20 000 km2. using quarter monthly time intervals. The results were most promising. A very close fit was obtained during the calibration (training) phase and the ANNs developed consistently outperformed a conventional model during the verification (testing) phase for all of the four forecast lead-times. The average improvement in the root mean squared error (RMSE) for the 8 years of test data varied from 5 cms in the four time step ahead forecasts to 12.1 cms in the two time step ahead forecasts.
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A recurrent neural networks approach using indices of low-frequency climatic variability to forecast regional annual runoff
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