Identification of Streamflow Stochastic Models

by Jose D. Salas, (M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo. 80523,
Ricardo A. Smith, Grad. Student; Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo. 80523,
Jayantha T.B. Obeysekera, Grad. Student; Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo. 80523,


Serial Information: Journal of the Hydraulics Division, 1981, Vol. 107, Issue 7, Pg. 853-866


Document Type: Journal Paper

Abstract: The identification of streamflow stochastic models is explored. The identification of the type of stochastic model is made, based on a conceptual physical representation of natural watershed. The identification of the form of the model is made, based on the recently developed R-functions and S-functions. ARMA is the autoregressive moving average. For a ARMA(p,q) precipitation input, the ground-water storage is an ARMA(p+1, q) process, and the streamflow is an ARMA(p+1, q+1) process. In general, such ground-water and streamflow processes belong to the class of restricted ARMA processes in the sense that their parameter space is a subspace of that corresponding to the general ARMA models. The form or order of the ground-water and streamflow ARMA processes for given historical time series can be uniquely identified by using the R-functions and S-functions. An example is given as a application of such techniques.

Subject Headings: Streamflow | Stochastic processes | Autoregressive models | Physical models | Watersheds | Precipitation | Groundwater management

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