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  • 7/29/2019 Soria Apdiahr

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    SENSITIVITY ANALYSIS OF DISTRIBUTED

    RAINFALL-RUNOFF MODELS

    Freddy SORIA1*

    So KAZAMA2

    Masaki SAWAMOTO1

    1Graduate School of Engineering, Tohoku University, Sendai, Japan, e-mail: [email protected]

    [email protected]

    Graduate School of Environmental Sciences, Tohoku University, Sendai, Japan, e-mail:

    [email protected]

    Rainfall-runoff hydrological models are resources commonly used in the analysis and

    evaluation of natural processes in a watershed. After the Stanford Watershed Model in the

    1960s, a wide variety of conceptual models have been suggested. As an important tool in the

    modeling process, sensitivity analysis is used to assess the evaluation of the confidence levelof the model and the uncertainties associated, determining a subset of parameters accounting

    most of the output variance, and showing probable paths to simplify or improve model

    structure. Increase interest on distributed models have introduced practical restrictions to

    traditional sensitivity analysis methodologies since dimensionality of the input space highly

    increases, for instance a comparative evaluation among current state of art methods becomes

    necessary. This paper presents the application of three sensitivity methods (Sobols variance

    based method, variational methods, and a combination between global sensitivity methods

    and Generalized Likelihood Uncertainty Estimation technique GLUE) in the evaluation of the

    outputs of a distributed rainfall-runoff model (i.e. total discharge rate), evaluating the

    advantages and restrictions of each, as a way to contribute to current knowledge in the field,

    further reducing predictive uncertainty. The model is applied to Natori basin (Northeast

    Japan), a relatively homogeneous catchment selected in order to avoid computational issues

    that may come out in heterogeneous landscapes demanding the consideration of different

    structure conceptualizations. Sobols method has shown to be a promising tool to further

    evaluate model structure through the analysis of quantitative indices. The reliability of the

    method has been observed to be important during dry periods since hydrological process have

    no strong interactions; the main problem in the application of the method was observed during

    wet seasons where runoff processes are triggered, and the number of samples to accomplish

    acceptable convergence highly increases. GLUE technique is somehow more complicated andt may introduce bias to the analysis if likelihood decisions are not well taken, otherwise is

    certainly useful. Variational methods are not commonly used in rainfall-runoff modeling, and

    are certainly promising although further development is still required. Selecting a particular

    methodology will always be made upon individual cases conditions, but the combination of

    techniques through empirical weighting could be perhaps an interesting alternative. It is well

    known the importance of sensitivity analysis in uncertainty reduction, and the comparison

    presented here aims to give an insight in currently considered methodologies.

    Key words: Uncertainty, Sobols method, variational methods, Generalized Likelihood

    Uncertainty Estimation.

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