Transfer Function Models of Daily Urban Water Use

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Abstract
A time series model of daily municipal water use as a function of rainfall and air temperature is developed. Total water use is separated into base use and seasonal use. The seasonal use series is detrended, then a nonlinear heat function relating water use to air temperature during rainless periods is employed to deseasonalize the series. The residuals are modeled using Box‐Jenkins transfer functions with transformed rainfall and air temperature as independent variables. The model is applied to daily data from Austin, Texas from 1975 to 1981 and accounts for 97% of the variance of daily municipal water use over that period. Forecasts of daily usage are made for a two‐week lead time.

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