Research Article
Mar 1970
Runoff Forecasts by Linear Predictive Filter
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 96, Issue 3
Abstract
The optimal unit hydrograph is shown to be the weighted sum of each runoff component which constitutes the crosscovariance. Statistical properties of hydrological data such as autocovariance, crosscovariance, spectrum, coherence and phase angle are investigated to apply the prediction method practically. It is shown that the autocovariance of daily rainfall may be roughly approximated by the Dirac delta function. The crosscovariance of rainfall and runoff analyzed in this paper is composed of two runoff components of short and long periods. The coherence of rainfall and runoff is nearly unity for light rainfall suggesting that the rainfall-runoff process may be approximated by a linear system. On the other hand, the coherence becomes worse as the rainfall intensity increases; there is a gap of coherence in the middle frequency range. Examples of runoff prediction by the theory are given.
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Published In
Journal of the Hydraulics Division
Volume 96 • Issue 3 • March 1970
Pages: 681 - 702
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© 1970 American Society of Civil Engineers.
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Published in print: Mar 1970
Published online: Feb 3, 2021
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Mikio Hino, M.ASCE
Assoc. Prof., Dept. of Civ. Engr., Tokyo Inst. of Tech., O-okayama, Meguro-ku, Tokyo, Japan
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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.
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