STATE-SPACE VERSUS MULTIPLE REGRESSION FOR FORECASTING URBAN WATER DEMAND

State-space and multiple regression methods were compared with each other and with simple monthly averages for the accuracy of their short-term forecasts of urban water demand. Seven sets of 24 monthly forecasts of water demand were computed. Each set is based on a different 7-year historic period, using a total of 15 years of monthly data. Based on a variety of measures of forecast error, the state-space models exhibited less bias than the other models, whereas the size of a typical forecast error was about the same for state-space and simple monthly averages. Forecast errors showed considerable variability within both state-space and multiple regression. The mean absolute forecast error ranged from 7.4 to 14.8% for multiple regression, and from 3.6 to 13.1% for state-space. For this sample data, the multiple regression model forecasts were least accurate and also had larger biases than the other methods.

[1]  J. Ruffner,et al.  The Weather Almanac , 1979 .

[2]  Jack A. Weber Forecasting Demand and Measuring Price Elasticity , 1989 .

[3]  W. E. Martin,et al.  Policy relevance in studies of urban residential water demand , 1986 .

[4]  A. Havenner,et al.  State-Space Modeling of Cyclical Supply, Seasonal Demand, and Agricultural Inventories , 1991 .

[5]  K. Knapp,et al.  Perennial Crop Supply Response: A Kalman Filter Approach , 1991 .

[6]  H. Akaike Canonical Correlation Analysis of Time Series and the Use of an Information Criterion , 1976 .

[7]  R. Bruce Billings,et al.  Demand management factors in residential water use: the southern Arizona experience , 1989 .

[8]  D. E. Agthe,et al.  EQUITY AND CONSERVATION PRICING POLICY FOR A GOVERNMENT-RUN WATER UTILITY , 1997 .

[9]  R. Bruce Billings,et al.  A Simultaneous Equation Demand Model for Block Rates , 1986 .

[10]  Lester D. Taylor,et al.  The demand for electricity: a survey , 1975 .

[11]  W. D. Morgan Residential Water Demand: The Case from Micro Data , 1973 .

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

[13]  R. Bruce Billings,et al.  Price Elasticities for Water: A Case of Increasing Block Rates , 1980 .

[14]  DeVerle P. Harris,et al.  A comparison of state space and multiple regression for monthly forecasts: U.S. Fuel consumption , 1995 .

[15]  T. Vukina Hedging with forecasting: A state—space approach to modeling vector‐valued time series , 1992 .

[16]  R. Billings Specification of Block Rate Price Variables in Demand Models , 1982 .

[17]  Clive Jones,et al.  Forecasting Urban Water Demand , 1995 .

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

[19]  Alan C. Stockman Introduction to Economics , 1995 .

[20]  J. A. Nordin A Proposed Modification of Taylor's Demand Analysis: Comment , 1976 .