Medium-Term Urban Water Demand Forecasting with Limited Data Using an Ensemble Wavelet–Bootstrap Machine-Learning Approach

AbstractAccurate and reliable weekly and monthly water demand forecasting is important for effective and sustainable planning and use of urban water supply infrastructure. This study explored a hybrid wavelet–bootstrap–artificial neural network (WBANN) modeling approach for weekly (one-week) and monthly (one- and two-month) urban water demand forecasting in situations with limited data availability. The performance of WBANN models was also compared with that of standard artificial neural networks (ANN), bootstrap-based ANN (BANN), and wavelet-based ANN (WANN) models. The proposed WBANN method is aimed at improving the accuracy and reliability of water demand forecasting by incorporating the capability of wavelet transformation and bootstrap analysis using artificial neural networks. Daily and monthly maximum temperature, total precipitation, and water demand data for almost three years obtained from the city of Calgary, Alberta, Canada were used in this study. For weekly and monthly lead-time forecasting,...

[1]  Zoran Kapelan,et al.  Probabilistic prediction of urban water consumption using the SCEM-UA algorithm , 2008 .

[2]  F. S. Özbek,et al.  Estimation of pesticides usage in the agricultural sector in Turkey using Artificial Neural Network (ANN). , 2009 .

[3]  H. Barreto,et al.  Introductory Econometrics: Monte Carlo Simulation , 2005 .

[4]  David R. Maidment,et al.  Transfer Function Models of Daily Urban Water Use , 1985 .

[5]  K. N. Tiwari,et al.  Bootstrap based artificial neural network (BANN) analysis for hierarchical prediction of monthly runoff in Upper Damodar Valley Catchment , 2009 .

[6]  Ashu Jain,et al.  Short‐term water demand forecast modeling techniques—CONVENTIONAL METHODS VERSUS AI , 2002 .

[7]  Chandranath Chatterjee,et al.  A new wavelet-bootstrap-ANN hybrid model for daily discharge forecasting , 2011 .

[8]  Joaquín Izquierdo,et al.  Predictive models for forecasting hourly urban water demand , 2010 .

[9]  David Hinkley,et al.  Bootstrap Methods: Another Look at the Jackknife , 2008 .

[10]  Yi Wang,et al.  Monthly water quality forecasting and uncertainty assessment via bootstrapped wavelet neural networks under missing data for Harbin, China , 2013, Environmental Science and Pollution Research.

[11]  Murat Küçük,et al.  Wavelet Regression Technique for Streamflow Prediction , 2006 .

[12]  Chandranath Chatterjee,et al.  Uncertainty assessment and ensemble flood forecasting using bootstrap based artificial neural networks (BANNs) , 2010 .

[13]  J. Adamowski,et al.  A wavelet neural network conjunction model for groundwater level forecasting , 2011 .

[14]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Ashu Jain,et al.  Hybrid neural network models for hydrologic time series forecasting , 2007, Appl. Soft Comput..

[16]  G. A Theory for Multiresolution Signal Decomposition : The Wavelet Representation , 2004 .

[17]  Jan Adamowski,et al.  Comparison of Multivariate Regression and Artificial Neural Networks for Peak Urban Water-Demand Forecasting: Evaluation of Different ANN Learning Algorithms , 2010 .

[18]  Teresa B. Culver,et al.  Bootstrapped artificial neural networks for synthetic flow generation with a small data sample , 2006 .

[19]  David R. Maidment,et al.  AN EVALUATION OF WEEKLY AND MONTHLY TIME SERIES FORECASTS OF MUNICIPAL WATER USE , 1986 .

[20]  Alice E. Smith,et al.  Bias and variance of validation methods for function approximation neural networks under conditions of sparse data , 1998, IEEE Trans. Syst. Man Cybern. Part C.

[21]  T. Mazzuchi,et al.  Urban Water Demand Forecasting: Review of Methods and Models , 2014 .

[22]  Jan Adamowski,et al.  Urban water demand forecasting and uncertainty assessment using ensemble wavelet‐bootstrap‐neural network models , 2013 .

[23]  J. Adamowski Peak Daily Water Demand Forecast Modeling Using Artificial Neural Networks , 2008 .

[24]  P. Coulibaly,et al.  Two decades of anarchy? Emerging themes and outstanding challenges for neural network river forecasting , 2012 .

[25]  Huicheng Zhou,et al.  Application of a Combination Model Based on Wavelet Transform and KPLS-ARMA for Urban Annual Water Demand Forecasting , 2014 .

[26]  Ali Moeini,et al.  Forecasting monthly urban water demand using Extended Kalman Filter and Genetic Programming , 2011, Expert Syst. Appl..

[27]  Jan Adamowski,et al.  A Spectral Analysis Based Methodology to Detect Climatological Influences on Daily Urban Water Demand , 2012, Mathematical Geosciences.

[28]  J. R. Mohammed,et al.  HYBRID WAVELET ARTIFICIAL NEURAL NETWORK MODEL FOR MUNICIPAL WATER DEMAND FORECASTING , 2012 .

[29]  O. Kisi Wavelet Regression Model as an Alternative to Neural Networks for River Stage Forecasting , 2011 .

[30]  Vahid Nourani,et al.  A Multivariate ANN-Wavelet Approach for Rainfall–Runoff Modeling , 2009 .

[31]  H. Maier,et al.  The Use of Artificial Neural Networks for the Prediction of Water Quality Parameters , 1996 .

[32]  Madan M. Gupta,et al.  Improving reliability of river flow forecasting using neural networks, wavelets and self-organising maps , 2013 .

[33]  Young-Oh Kim,et al.  Rainfall‐runoff models using artificial neural networks for ensemble streamflow prediction , 2005 .

[34]  Jorge Caiado Performance of Combined Double Seasonal Univariate Time Series Models for Forecasting Water Demand , 2009 .

[35]  Chandranath Chatterjee,et al.  Development of an accurate and reliable hourly flood forecasting model using wavelet–bootstrap–ANN (WBANN) hybrid approach , 2010 .

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

[37]  T. McMahon,et al.  Forecasting operational demand for an urban water supply zone , 2002 .

[38]  David Zimbra,et al.  Urban Water Demand Forecasting with a Dynamic Artificial Neural Network Model , 2008 .

[39]  J. Adamowski,et al.  Forecasting Urban Water Demand Via Wavelet-Denoising and Neural Network Models. Case Study: City of Syracuse, Italy , 2012, Water Resources Management.

[40]  Simon Li,et al.  Uncertainties in real‐time flood forecasting with neural networks , 2007 .

[41]  Andrew Metcalfe,et al.  Wavelet-Based Rainfall-Stream Flow Models for the Southeast Murray Darling Basin , 2014 .

[42]  K. Adamowski,et al.  Short‐term municipal water demand forecasting , 2005 .

[43]  Luisa Fernanda Ribeiro Reis,et al.  Hybrid Water Demand Forecasting Model Associating Artificial Neural Network with Fourier Series , 2011 .

[44]  J. Shao,et al.  The jackknife and bootstrap , 1996 .

[45]  J. Adamowski,et al.  Comparison of multiple linear and nonlinear regression, autoregressive integrated moving average, artificial neural network, and wavelet artificial neural network methods for urban water demand forecasting in Montreal, Canada , 2012 .

[46]  Juan B. Valdés,et al.  NONLINEAR MODEL FOR DROUGHT FORECASTING BASED ON A CONJUNCTION OF WAVELET TRANSFORMS AND NEURAL NETWORKS , 2003 .

[47]  Holger R. Maier,et al.  Neural networks for the prediction and forecasting of water resource variables: a review of modelling issues and applications , 2000, Environ. Model. Softw..

[48]  O. Kisi Wavelet regression model for short-term streamflow forecasting. , 2010 .

[49]  Jan Adamowski,et al.  Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semi-arid watersheds. , 2010 .

[50]  Lily House-Peters,et al.  Urban water demand modeling: Review of concepts, methods, and organizing principles , 2011 .

[51]  Ashu Jain,et al.  Short-Term Water Demand Forecast Modelling at IIT Kanpur Using Artificial Neural Networks , 2001 .

[52]  C. L. Wu,et al.  Methods to improve neural network performance in daily flows prediction , 2009 .

[53]  David R. Maidment,et al.  Time patterns of water use in six Texas cities , 1984 .

[54]  P. C. Nayak,et al.  Rainfall-runoff modeling using conceptual, data driven, and wavelet based computing approach , 2013 .