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