Journal cover Journal topic
Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
https://doi.org/10.5194/hess-2017-19
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Technical note
23 Jan 2017
Review status
This discussion paper is a preprint. It has been under review for the journal Hydrology and Earth System Sciences (HESS). The revised manuscript was not accepted.
Uncertainty quantification in application of linear lumped rainfall-runoff models
Ching-Min Chang and Hund-Der Yeh Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
Abstract. This study proposes a stochastic framework for a linear lumped rainfall-runoff problem at the catchment scale. An autoregressive (AR) model is adopted to account for the temporal variability of the rainfall process. For a stochastic description, solutions of the surface flow problem are derived in terms of first two statistical moments of the runoff discharge through the nonstationary Fourier-Stieltjes representation approach. The closed-form expression for the variance of runoff discharge allows to assessing the impacts of rainfall and storage parameters, respectively, on the discharge variability. It is found that the temporal variability of the runoff discharge induced by a random rainfall process persists longer for smaller values of the storage or rainfall parameters.

Citation: Chang, C.-M. and Yeh, H.-D.: Uncertainty quantification in application of linear lumped rainfall-runoff models, Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-19, 2017.
Ching-Min Chang and Hund-Der Yeh
Ching-Min Chang and Hund-Der Yeh

Viewed

Total article views: 433 (including HTML, PDF, and XML)

HTML PDF XML Total BibTeX EndNote
355 56 22 433 10 32

Views and downloads (calculated since 23 Jan 2017)

Cumulative views and downloads (calculated since 23 Jan 2017)

Viewed (geographical distribution)

Total article views: 433 (including HTML, PDF, and XML)

Thereof 428 with geography defined and 5 with unknown origin.

Country # Views %
  • 1

Saved

Discussed

Latest update: 18 Aug 2017
Publications Copernicus
Download
Share