Discrete Dynamic Model of Watershed Sediment Yield

by Tribeni C. Sharma, Assoc. Prof.; Dept. of Agricultural Engrg., G.B. Pant Univ. of Agriculture and Tech., Pantnagar, Nainital, India,
William T. Dickinson, Prof.; School of Engrg., Univ. of Guelph, Guelph, Ontario, Canada,

Serial Information: Journal of the Hydraulics Division, 1979, Vol. 105, Issue 5, Pg. 555-571

Document Type: Journal Paper


The watershed fluvial system is hypothesized as a lumped system with runoff rate (log-transformed) as input and sediment yield rate (log-transformed) as output on a discrete time basis. The effects of errors in sampling, data reduction, discretizing etc. of input and output sequences are simulated by another linear system to which input is a white noise. A first order dynamic model with five parameters is demonstrated to provide an adequate model of monthly runoff-sediment yield process. A second order dynamic model with seven parameters adequately models the daily runoff sediment yield process. The noise component was found to be a white noise sequence in both cases, explaining 10% to 19% of the variance in the monthly sediment yields and 3% to 5% of the variance in the daily sediment yields. A linear linkage model explains 81% to 90% of the variance in the monthly sediment yields and 95% to 97% of the variance in daily sediment yields.

Subject Headings: Dynamic models | Runoff | Watersheds | Sediment | Hydrologic models | Parameters (statistics) | Errors (statistics) | Linear functions

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