Multivariate Statistical Analysis for Water Demand Modeling

Abstract The actual level of water demand is the driving force behind the hydraulic dynamics in water distribution systems. Consequently, it is crucial to estimate it as accurately as possible in order to result in reliable simulation models. In this paper, a copula-based multivariate analysis has been proposed and used for demand prediction for given return period. The analysis is applied to water consumption data collected in the water distribution network of Palermo (Italy). The approach showed to produce consisted demand patterns and to be a powerful tool to be coupled with water distribution network models for design or analysis problems.

[1]  S. Miaou,et al.  Daily Water Use in Nine Cities , 1986 .

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

[3]  N. Jayasuriya,et al.  Temperature and rainfall thresholds for base use urban water demand modelling , 2007 .

[4]  M. Babel,et al.  A multivariate econometric approach for domestic water demand modeling: An application to Kathmandu, Nepal , 2007 .

[5]  T. Bedford,et al.  Vines: A new graphical model for dependent random variables , 2002 .

[6]  S. Buchberger,et al.  Model for Instantaneous Residential Water Demands , 1995 .

[7]  S. Alvisi,et al.  A Stochastic Model for Representing Drinking Water Demand at Residential Level , 2003 .

[8]  Rangesan Narayanan,et al.  A MONTHLY TIME SERIES MODEL OF MUNICIPAL WATER DEMAND , 1981 .

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

[10]  A. Frigessi,et al.  Pair-copula constructions of multiple dependence , 2009 .

[11]  Fabrizio Durante,et al.  On the return period and design in a multivariate framework , 2011 .

[12]  J. Ernest Flack Urban Water Conservation : Increasing Efficiency-in-Use Residential Water Demand , 1982 .

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

[14]  Jan Timmer,et al.  Flow control by prediction of water demand , 2003 .

[15]  B. Bobée,et al.  Multivariate hydrological frequency analysis using copulas , 2004 .

[16]  Robert M. Clark,et al.  Modeling contaminant propagation in drinking-water distribution systems , 1993 .

[17]  Nisai Wanakule,et al.  Short-Term Forecasting for Urban Water Consumption , 2004 .

[18]  J. Smith,et al.  A model of daily municipal water use for short‐term forecasting , 1988 .

[19]  Gianfausto Salvadori,et al.  Frequency analysis via copulas: Theoretical aspects and applications to hydrological events , 2004 .

[20]  Vicente Juan Garcia,et al.  Stochastic Model to Evaluate Residential Water Demands , 2004 .

[21]  Shaw-Pin Miaou,et al.  A class of time series urban water demand models with nonlinear climatic effects , 1990 .

[22]  Alexander E. Cassuto,et al.  EFFECT OF PRICE ON THE RESIDENTIAL DEMAND FOR WATER WITHIN AN AGENCY , 1979 .

[23]  Andrea Petroselli,et al.  Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation , 2012 .

[24]  Bruce R. Beattie,et al.  Urban Residential Demand for Water in the United States , 1979 .

[25]  B. Schweizer,et al.  Thirty Years of Copulas , 1991 .

[26]  T. McMahon,et al.  Forecasting daily urban water demand: a case study of Melbourne , 2000 .

[27]  Hubert H. G. Savenije,et al.  FORECAST OF WATER DEMAND IN WEINAN CITY IN CHINA USING WDF-ANN MODEL , 2003 .

[28]  Samuel Kotz,et al.  Advances in Probability Distributions with Given Marginals , 1991 .

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

[30]  Eric Rothstein Water Demand Monitoring in Austin, Texas , 1992 .

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

[32]  John J. Boland,et al.  Forecasting Urban Water Use: the Iwr-Main Model , 1989 .

[33]  C. M. Fontanazza,et al.  Uncertainty evaluation of design rainfall for urban flood risk analysis. , 2011, Water science and technology : a journal of the International Association on Water Pollution Research.

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

[35]  J. C. van Dijk,et al.  Simulating Nonresidential Water Demand with a Stochastic End-Use Model , 2013 .

[36]  Joseph W. Foster,et al.  Adaptive Forecasting of Hourly Municipal Water Consumption , 1994 .

[37]  H. Joe Families of $m$-variate distributions with given margins and $m(m-1)/2$ bivariate dependence parameters , 1996 .

[38]  Bruno Molino,et al.  Forecast model of water consumption for Naples , 1996 .

[39]  Roberto Guercio,et al.  Instantaneous residential water demand as stochastic point process , 1970 .

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

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

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

[43]  Charles W. Howe,et al.  The impact of price on residential water demand and its relation to system design and price structure , 1967 .

[44]  Roger M. Cooke,et al.  Probability Density Decomposition for Conditionally Dependent Random Variables Modeled by Vines , 2001, Annals of Mathematics and Artificial Intelligence.

[45]  C. De Michele,et al.  A Generalized Pareto intensity‐duration model of storm rainfall exploiting 2‐Copulas , 2003 .

[46]  A. Bárdossy,et al.  Copula based multisite model for daily precipitation simulation , 2009 .

[47]  Steven G. Buchberger,et al.  Intensity, Duration, and Frequency of Residential Water Demands , 1996 .

[48]  Chengchao Xu,et al.  DEMAND FORECASTING FOR WATER DISTRIBUTION SYSTEMS , 1992 .

[49]  R. Bruce Billings,et al.  STATE-SPACE VERSUS MULTIPLE REGRESSION FOR FORECASTING URBAN WATER DEMAND , 1998 .

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

[51]  Juan B. Valdés,et al.  Rainfall Intervention Analysis for On‐Line Applications , 1989 .

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

[53]  F. Serinaldi,et al.  Design hyetograph analysis with 3-copula function , 2006 .

[54]  Trevor C. Hughes,et al.  Peak Period Design Standards for Small Western U.S. Water Supply Systems , 1980 .

[55]  Stefano Alvisi,et al.  A short-term, pattern-based model for water-demand forecasting , 2006 .

[56]  C. De Michele,et al.  Analytical calculation of storm volume statistics involving Pareto‐like intensity‐duration marginals , 2004 .

[57]  Ni-Bin Chang,et al.  System dynamics modeling for municipal water demand estimation in an urban region under uncertain economic impacts. , 2011, Journal of environmental management.

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

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