Application of Diffusion Processes to Runoff Estimation
Publication: Journal of Hydrologic Engineering
Volume 5, Issue 1
Abstract
In order to forecast drainage basin runoff, mathematical models involving diffusion processes are tested against hydrological data obtained from the hydrographic basin of the Saguenay-Lac-St-Jean, located in northeastern Quebec. For one-day-ahead estimates, a bidimensional model using an Ornstein-Uhlenbeck process is seen to give better results than a deterministic model presently in use. The latter model involves the estimation of 18 parameters, while the diffusion process model requires only one parameter, thus making it much simpler and cheaper to implement.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bouchard, S., and Salesse, L. (1986). “Amélioration et structuration du système de prévision hydrologique à court terme PRÉVIS.” Rep. RH-86-01, Group of Hydraulic Resources, ÉÉQ, SÉCAL, Jonquière, Que., Canada, 1–31.
2.
Cox, D. R., and Miller, H. D. (1965). The theory of stochastic processes. Methuen, London.
3.
Gottardi, G., and Scarso, E. (1994). “Diffusion models in forecasting: A comparison with the Box-Jenkins approach.” Eur. J. Operational Res., 75(3), 600–616.
4.
Kite, G. W. (1978). “Development of a hydrological model for a Canadian watershed.” Can. J. Civ. Engrg., Ottawa, 5, 126–134.
5.
Lauzon, N. (1995). Méthodes de validation et de prévision à court terme des apports naturels, Mémoire de maîtrise, École Polytechnique de Montréal, Montréal, Canada.
6.
Lauzon, N., Birikundavyi, S., Gignac, C., and Rousselle, J. (1997). “Comparaison de deux procédures d'amélioration des prévisions à court terme des apports naturels d'un modèle déterministe.” Can. J. Civ. Engrg., Ottawa, 24(5), 723–735.
7.
Ross, S. M. (1993). Introduction to probability models, 5th Ed., Academic, San Diego.
8.
Takasao, T., Shiiba, M., and Tachikawa, Y. (1994). “Development of a real-time stage prediction system and its application to the upstream Kizu river basin.” Proc., Japan Soc. of Civ. Engrs., Tokyo, (503), 19–27.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 5 • Issue 1 • January 2000
Pages: 1 - 7
History
Received: Mar 31, 1998
Published online: Jan 1, 2000
Published in print: Jan 2000
Authors
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.