TECHNICAL PAPERS
Jul 1, 1989

Rainfall Intervention Analysis for On‐Line Applications

Publication: Journal of Water Resources Planning and Management
Volume 115, Issue 4

Abstract

Rainfalls during summer season are a major cause of sporadic nonlinear transient drops in daily municipal water consumption. The nonhomogeneous, nonlinear effects induced by rainfall interventions on water use complicate time series model identification and estimation. An iterative computer algorithm, that employs a model‐switching transfer function, is proposed for sequential estimation of the transient drops in the water consumption, so that they can be removed from the time‐series data. Existing time series analysis techniques, which are based on homogeneous, covariance stationary assumptions are not directly applicable, since the water‐use time series never reaches statistical equilibrium. The practical data transformation procedure introduced in this paper is useful for achieving approximately homogeneous and stationary time series prior to model identification and estimation of rainfall intervention effects. The resulting empirical model is a transfer function of intervention time, number of uninterrupted raining days, a moving average of maximum daily temperatures, and a moving average of the most recent water‐use observations. This rainfall intervention model can also be used for online prediction of temporal changes in daily water consumption of a city, given rainfall forecasts. An example is included to illustrate the applicability of this approach, using a record of municipal water use.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abraham, B., and Ledolter, J. (1983). Statistical methods for forecasting. John Wiley and Sons, Inc., New York, N.Y.
2.
Akaike, H. (1974). “A new look at statistical model identification.” IEEE Trans. Autom. Control, 19, 716–722.
3.
Box, G. E. P., and Tiao, G. C. (1975). “Intervention analysis with applications to economic and environmental problems.” J. Am. Statistical Assoc., 70(349), 70–79.
4.
Box, G. E. P., and Jenkins, G. M. (1976). Time series analysis forecasting and control. Holden Day, Inc., San Francisco, Calif.
5.
Box, G. E. P., and Pierce, D. A. (1970). “Distribution of residual autorcorrelations in autoregressive moving average time series models.” J. Am. Statistical Assoc., 64, 1509–1526.
6.
Hillmer, S. C., Bell, W. R., and Tiao, G. C. (1982). “Modeling considerations in the seasonal adjustment of economic time series.” Tech. Report No. 665, Dept. of Statistics, Univ. of Wisconsin, Madison, Wis.
7.
Hipel, K. W., et al. (1975). “Intervention analysis in water resources.” Water Resour. Res., 11(6), 855–861.
8.
Maidment, D. R., and Miaou, S. P. (1986). “Daily water use in nine cities.” Water Resour. Res., 22(6), 845–851.
9.
Maidment, D. R., Miaou, S. P., and Crawford, M. M. (1985). “Transfer function models of daily urban water use.” Water Resour. Res., 21(4), 425–432.
10.
Maidment, D. R., and Parzen, E. (1984). “Cascade model for monthly municipal water use.” Water Resour. Res., 20(1), 15–23.
11.
Marquardt, D. W. (1963). “An algorithm for least‐squares estimation of non‐linear parameters.” J. Soc. Industrial Appl. Math., 11(2), 431–441.
12.
Miaou, S. P. (1986). “Daily urban water use analysis and forecasting,” dissertation presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
13.
Neter, J., and Wasserman, W. (1974). Applied linear statistical models. Richard D. Irwin, Inc., Home wood, Ill.
14.
Sastri, T. (1986). “Recursive algorithm for adaptive estimation and parameter change detection of time series models.” J. Oper. Res. Soc, 37(10), 987–999.
15.
Sastri, T. (1987). “Sequential method of change detection and adaptive prediction of municipal water demand.” Int. J. Syst. Sci., 18(6), 1029–1049.
16.
Sales‐LaCruz, J. D., and Yevjevich, V. (1972). “Stochastic structure of water use time series.” Hydrol. Report Paper 52, Colorado State Univ., Fort Collins, Colo.
17.
Shaw, D. T., and Maidment, D. W. (1986). “Intervention analysis of water use restrictions.” Water Resour. Bull.
18.
Young, P. C. (1984). Recursive estimation and time series analysis. Springer‐Verlag New York, Inc., New York, N.Y.
19.
Ziemer, R. E., Tanner, W. H., and Fannin, D. R. (1983). Signal and systems continuous and discrete. Macmillan Publishing Co., New York, N.Y.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 115Issue 4July 1989
Pages: 397 - 415

History

Published online: Jul 1, 1989
Published in print: Jul 1989

Permissions

Request permissions for this article.

Authors

Affiliations

Tep Sastri
Asst. Prof., Dept. Industrial Engrg., Texas A&M Univ., College Station, TX 77843‐3131
Juan B. Valdes, Member, ASCE
Assoc. Prof., Dept. Civ. Engrg., Texas A&M Univ., College Station, TX

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share