Erratum to: Daily Forecasting of Dam Water Levels: Comparing a Support Vector Machine (SVM) Model With Adaptive Neuro Fuzzy Inference System (ANFIS)

Reservoir planning and management are critical to the development of the hydrological field and necessary to Integrated Water Resources Management. The growth of forecasting models has resulted in an excellent model known as the Support Vector Machine (SVM). This model uses linearly separable patterns based on an optimal hyperplane, which are extended to non-linearly separable patterns by transforming the raw data to map into a new space. SVM can find a global optimal solution equipped with Kernel functions. These Kernel functions have high flexibility in the forecasting computation, enabling data to be mapped at a higher and infinite-dimensional space in an implicit manner. This paper presents a new solution to the expert system, using SVM to forecast the daily dam water level of the Klang gate. Four categories are identified to determine the best model: the input scenario, the type of SVM regression, the number of V-fold cross-validation and the time lag. The best input scenario employs both the rainfall R(t-i) and the dam water level L(t-i). Type 2 SVM regression is selected as the best regression type, and 5-fold cross-validation produces the most accurate results. The results are compared with those obtained using ANFIS: all the RMSE, MAE and MAPE values prove that SVM is a superior model to ANFIS. Finally, all the results are combined to determine the best time lag, resulting in R(t-2) L(t-2) for the best model with only 1.64 % error. Copyright Springer Science+Business Media Dordrecht 2013

[1]  Miew How Kang Artificial neural network (ANN) , 2011 .

[2]  Jun Guo,et al.  Monthly streamflow forecasting based on improved support vector machine model , 2011, Expert Syst. Appl..

[3]  Ku Ruhana Ku-Mahamud,et al.  Neural Network Application in Reservoir Water Level Forecasting and Release Decision , 2011 .

[4]  Chuntian Cheng,et al.  A comparison of performance of several artificial intelligence , 2009 .

[5]  Mahmut Firat,et al.  Adaptive Neuro-Fuzzy Inference System for drought forecasting , 2009 .

[6]  S. Araghinejad,et al.  Water Management of Irrigation Dams Considering Climate Variation: Case Study of Zayandeh-rud Reservoir, Iran , 2013, Water Resources Management.

[7]  Deva K. Borah,et al.  Calibrating a watershed simulation model involving human interference: an application of multi-objective genetic algorithms , 2008 .

[8]  Mehmet Önder Efe,et al.  A comparison of ANFIS, MLP and SVM in identification of chemical processes , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[9]  Jun Zhang,et al.  Sediment carrying capacity prediction based on chaos optimization support vector machines , 2010, Other Conferences.

[10]  M. Teshnelab,et al.  Comparison of neural network, ANFIS, and SVM classifiers for PVC arrhythmia detection , 2008, 2008 International Conference on Machine Learning and Cybernetics.

[11]  Mohammad Ali Ghorbani,et al.  Estimating daily pan evaporation from climatic data of the State of Illinois, USA using adaptive neuro-fuzzy inference system (ANFIS) and artificial neural network (ANN) , 2011 .

[12]  Aboelmagd Noureldin,et al.  Generalized versus non-generalized neural network model for multi-lead inflow forecasting at Aswan High Dam , 2010 .

[13]  Ahmed El-Shafie,et al.  Improving Rainfall Forecasting Efficiency Using Modified Adaptive Neuro-Fuzzy Inference System (MANFIS) , 2013, Water Resources Management.

[14]  A. Ismail,et al.  Chemical speciation and contamination assessment of Zn and Cd by sequential extraction in surface sediment of Klang River, Malaysia , 2010 .

[15]  Ahmed El-Shafie,et al.  Adaptive neuro-fuzzy inference system based model for rainfall forecasting in Klang River, Malaysia , 2011 .

[16]  Chang-Xue Jack Feng,et al.  Threefold vs. fivefold cross validation in one-hidden-layer and two-hidden-layer predictive neural network modeling of machining surface roughness data , 2005 .

[17]  Armanda Rodrigues,et al.  Dam-Break Flood Emergency Management System , 2002 .

[18]  Mahmut Firat,et al.  Comparative analysis of fuzzy inference systems for water consumption time series prediction. , 2009 .

[19]  Jamshid Piri,et al.  Application of ANN and ANFIS models for reconstructing missing flow data , 2010, Environmental monitoring and assessment.

[20]  Jih Pin Yeh,et al.  Optimal reduction of solutions for support vector machines , 2009, Appl. Math. Comput..

[21]  Yongmiao Hong,et al.  A Loss Function Approach to Model Specification Testing and Its Relative Efficiency , 2013, 1306.4864.

[22]  Yan-Fang Sang,et al.  Improved Wavelet Modeling Framework for Hydrologic Time Series Forecasting , 2013, Water Resources Management.

[23]  Ahmed El-Shafie,et al.  Forecasting the Level of Reservoirs Using Multiple Input Fuzzification in ANFIS , 2013, Water Resources Management.

[24]  Shang-Lien Lo,et al.  Diagnosing reservoir water quality using self-organizing maps and fuzzy theory. , 2002, Water research.

[25]  Shakeel Ahmed,et al.  Comparison of FFNN and ANFIS models for estimating groundwater level , 2011 .

[26]  M. Jain,et al.  Hydrological Simulation in a Forest Dominated Watershed in Himalayan Region using SWAT Model , 2013, Water Resources Management.

[27]  Olli Varis,et al.  Integrated water resources management: evolution, prospects and future challenges , 2005 .

[28]  K. Lee,et al.  A comparative study of artificial neural networks and support vector machines for predicting groundwater levels in a coastal aquifer , 2011 .

[29]  Ahmed El-Shafie,et al.  Artificial neural network technique for rainfall forecasting applied to Alexandria, Egypt , 2011 .

[30]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[31]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[32]  Luis S. Pereira,et al.  Regional Drought Modes in Iran Using the SPI: The Effect of Time Scale and Spatial Resolution , 2013, Water Resources Management.

[33]  Ahmed El-Shafie,et al.  Water quality prediction model utilizing integrated wavelet-ANFIS model with cross-validation , 2010, Neural Computing and Applications.

[34]  S. Gunn Support Vector Machines for Classification and Regression , 1998 .

[35]  Maziar Palhang,et al.  Generalization performance of support vector machines and neural networks in runoff modeling , 2009, Expert Syst. Appl..

[36]  Dragan Milicevic,et al.  Analytical Support for Integrated Water Resources Management: A New Method for Addressing Spatial and Temporal Variability , 2012, Water Resources Management.

[37]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[38]  Ahmed El-Shafie,et al.  New Approach: Integrated Risk-Stochastic Dynamic Model for Dam and Reservoir Optimization , 2014, Water Resources Management.

[39]  V. V. Srinivas,et al.  Downscaling of precipitation for climate change scenarios: A support vector machine approach , 2006 .

[40]  Ahmed El-Shafie,et al.  Integrated versus isolated scenario for prediction dissolved oxygen at progression of water quality monitoring stations , 2011 .

[41]  Chuntian Cheng,et al.  Using support vector machines for long-term discharge prediction , 2006 .

[42]  Senjian An,et al.  Fast cross-validation algorithms for least squares support vector machine and kernel ridge regression , 2007, Pattern Recognit..

[43]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[44]  N. Seçkin,et al.  Comparison of Artificial Neural Network Methods with L-moments for Estimating Flood Flow at Ungauged Sites: the Case of East Mediterranean River Basin, Turkey , 2013, Water Resources Management.