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An efficient global sensitivity analysis approach for distributed hydrological model

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Abstract

Sensitivity analysis of hydrological model is the key for model uncertainty quantification. However, how to effectively validate model and identify the dominant parameters for distributed hydrological models is a bottle-neck to achieve parameters optimization. For this reason, a new approach was proposed in this paper, in which the support vector machine was used to construct the response surface at first. Then it integrates the SVM-based response surface with the Sobol’ method, i.e. the RSMSobol’ method, to quantify the parameter sensitivities. In this work, the distributed time-variant gain model (DTVGM) was applied to the Huaihe River Basin, which was used as a case to verify its validity and feasibility. We selected three objective functions (i.e. water balance coefficient WB, Nash-Sutcliffe efficiency coefficient NS, and correlation coefficient RC) to assess the model performance as the output responses for sensitivity analysis. The results show that the parameters g1 and g2 are most important for all the objective functions, and they are almost the same to that of the classical approach. Furthermore, the RSMSobol method can not only achieve the quantification of the sensitivity, and also reduce the computational cost, with good accuracy compared to the classical approach. And this approach will be effective and reliable in the global sensitivity analysis for a complex modelling system.

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References

  • Andres T H, 1997. Sampling methods and sensitivity analysis for large parameter sets. Journal of Statistical Computation and Simulation, 57(1–4): 77–110.

    Article  Google Scholar 

  • Ascough II J C, Green T R, Ma L et al., 2005. Key criteria and selection of sensitivity analysis methods applied to natural resource models. In: International Congress on Modeling and Simulation Proceedings. Salt Lake City, UT, November 6–11, 2005: 2463–2469.

  • Bahremand A, De Smedt F, 2008. Distributed hydrological and sensitivity analysis in Torysa watershed, Slovakia. Water Resources Management, 22: 393–408.

    Article  Google Scholar 

  • Brockmann D, Morgenroth E, 2007. Comparing global sensitivity analysis for a biofilm model for two-step nitrification using the qualitative screening method of Morris or the quantitative variance-based Fourier Amplitude Sensitivity Test (FAST). Water Science & Technology, 56(8): 85–93.

    Article  Google Scholar 

  • Campolongo F, Cariboni J, Saltelli A, 2007. An effective screening design for sensitivity analysis of large models. Environmental Modelling and Software, 22: 1509–1518.

    Article  Google Scholar 

  • Cui Q A, He Z, Che J G, 2006. SVM-based nonparametric dual response surface methodology. Journal of Tianjin University, 39(8): 1008–1014. (in Chinese)

    Google Scholar 

  • Engeland K, Xu C Y, Gottschalk L, 2005. Assessing uncertainties in a conceptual water balance model using Bayesian methodology. Hydrological Sciences Journal, 50(1): 45–63.

    Article  Google Scholar 

  • Fieberg J, Jenkins K J, 2005. Assessing uncertainty in ecological systems using global sensitivity analyses: A case example of simulated wolf reintroduction effects on elk. Ecological Modeling, 187: 259–280.

    Article  Google Scholar 

  • Frey H C, Patil S R, 2002. Identification and review of sensitivity analysis methods. Risk Analysis, 22(3): 553–578.

    Article  Google Scholar 

  • Fu Xiang, Chu Xuefeng, Tan Guangming, 2010. Sensitivity analysis for an infiltration-runoff model with parameter uncertainty. Journal of Hydrologic Engineering, 15(9): 243–251.

    Article  Google Scholar 

  • Ginot V, Gaba S, Beaudouin R et al., 2006. Combined use of local and ANOVA-based global sensitivity analyses for the investigation of a stochastic dynamic model: Application to the case study of an individual-based model of a fish population. Ecological Modeling, 193: 479–491.

    Article  Google Scholar 

  • Hamby D M, 1994. A review of techniques for parameter sensitivity analysis of environmental models. Environmental Monitoring and Assessment, 32(2): 135–154.

    Article  Google Scholar 

  • He Z, Cui Q A, 2006. A study on the small sample response surface methodology based on SVM. Industrial Engineering Journal, 9(5): 6–10, 27. (in Chinese)

    Google Scholar 

  • Helton J C, Johnson J D, Sallaberry C J et al., 2006. Survey of sampling-based methods for uncertainty and sensitivity analysis. Reliability Engineering and System Safety, 91: 1175–1209.

    Article  Google Scholar 

  • Jakeman A J, Letcher R A, Norton J P, 2006. Ten iterative steps in development and evaluation of environmental models. Environmental Modelling & Software, 21(5): 602–614.

    Article  Google Scholar 

  • Lenhart T, Eckhardt K, Fohrer N et al., 2002. Comparison of two different approaches of sensitivity analysis. Physics and Chemistry of the Earth, 27: 645–654.

    Article  Google Scholar 

  • Liu Y, Sun F, 2010. Sensitivity analysis and automatic calibration of a rainfall-runoff model using multi-objectives. Ecological Informatics, 5: 304–310.

    Article  Google Scholar 

  • McKay M D, 1995. Evaluating prediction uncertainty. Los Alamos National Laboratory Technical Report NUREG/CR-6311, LA-12915-MS.

  • Myers R H, Montgomery D C, Vining G G et al., 2004. Response surface methodology: A retrospective and literature review. Journal of Quality Technology, 36(1): 53–77.

    Google Scholar 

  • Pappenberger F, Beven K J, Ratto M et al., 2008. Multi-method global sensitivity of flood inundation models. Advances in Water Resources, 31: 1–14.

    Article  Google Scholar 

  • Plischke E, 2010. An effective algorithm for computing global sensitivity indices (EASI). Reliability Engineering and System Safety, 95: 354–360.

    Article  Google Scholar 

  • Ratto M, Pagano A, Young P, 2007. State dependent parameter metamodelling and sensitivity analysis. Computer Physics Communications, 177: 863–876.

    Article  Google Scholar 

  • Ren Q W, Chen Y B, Shu X J, 2010a. Global sensitivity analysis of Xinanjiang model parameter based on Extend FAST method. Acta Scientiarum Naturalium Universitatis Sunyatseni, 49(3): 127–134. (in Chinese)

    Google Scholar 

  • Ren Q W, Chen Y B, Zhou H L et al., 2010b. Global sensitivity analysis of TOPMODEL parameters based on Sobol method. Yangtze River, 41(19): 91–94, 107. (in Chinese)

    Google Scholar 

  • Saltelli A, Tarantola S, Campolongo F et al., 2004. Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models. John Wiley & Sons, Ltd.

  • Sathyanarayanamurthy H, Chinnam R B, 2009. Metamodels for variable importance decomposition with applications to probabilistic engineering design. Computers & Industrial Engineering, 57: 996–1007.

    Article  Google Scholar 

  • Sobol’ I, 1993. Sensitivity analysis for non-linear mathematical models. Mathematical Modeling & Computational Experiment (English Translation), 1: 407–414.

    Google Scholar 

  • Song X M, Kong F Z, 2010. Application of Xinanjiang model coupling with artificial neural networks. Bulletin of Soil and Water Conservation, 30(6): 135–138, 144. (in Chinese)

    Google Scholar 

  • Song X M, Zhan C S, Kong F Z et al., 2011a. A review on uncertainty analysis of large-scale hydrological cycle modeling system. Acta Geographica Sinica, 66(3): 396–406. (in Chinese)

    Google Scholar 

  • Song X M, Zhan C S, Kong F Z et al., 2011b. Advances in the study of uncertainty quantification of large-scale hydrological modeling system. Journal of Geographical Sciences, 21(5): 801–819.

    Article  Google Scholar 

  • Stephens D W, Gorissen D, Crombecq K et al., 2011. Surrogate based sensitivity analysis of process equipment. Applied Mathematical Modelling, 35: 1676–1687.

    Article  Google Scholar 

  • Tang Y, Reed P, van Werkhoven K et al., 2007 Advancing the identification and evaluation of distributed rainfall-runoff models using global sensitivity analysis. Water Resources Research, 43(6): W06415.

    Article  Google Scholar 

  • Tong C, 2010. Self-validated variance-based methods for sensitivity analysis of model outputs. Reliability Engineering and System Safety, 95(3): 301–309.

    Article  Google Scholar 

  • van Griensven A, Meixner T, Grunwald S et al., 2006. A global sensitivity analysis tool for the parameters of multi-variable catchment model. Journal of Hydrology, 324(1–4): 10–23.

    Article  Google Scholar 

  • Wang G S, Xia J, Chen J F, 2010. A multi-parameter sensitivity and uncertainty analysis method to evaluate relative importance of parameters and model performance. Geographical Research, 29(2): 263–270. (in Chinese)

    Google Scholar 

  • Warmink J J, Janssen J A E B, Booij M J et al., 2010. Identification and classification of uncertainties in the application of environmental models. Environmental Modelling & Software, 25(12): 1518–1527.

    Article  Google Scholar 

  • Xia J, Wang G S, Lv A F et al., 2003. A research on distributed time variant gain modeling. Acta Geographica Sinica, 58(5): 789–796. (in Chinese)

    Google Scholar 

  • Xia J, Wang G S, Tan G et al., 2005. Development of distributed time-variant gain model for nonlinear hydrological systems. Science in China (Series D), 48(6): 713–723.

    Article  Google Scholar 

  • Xia J, Ye A Z, Qiao Y F et al., 2007. An application research on distributed time-variant gain hydrological model in Wuding River of Yellow River. Journal of Basic Science and Engineering, 2007, 15(4): 457–465. (in Chinese)

    Google Scholar 

  • Xu C, Gertner G, 2007. Extending a global sensitivity analysis technique to models with correlated parameters. Computational Statistics & Data Analysis, 51(12): 5579–5590.

    Article  Google Scholar 

Download references

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Correspondence to Chesheng Zhan.

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Foundation: National Key Basic Research Program of China, No.2010CB428403; National Grand Science and Technology Special Project of Water Pollution Control and Improvement, No. 2009ZX07210-006

Author: Song Xiaomeng (1987–), Master Candidate, specialized in hydrology.

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Song, X., Zhan, C., Xia, J. et al. An efficient global sensitivity analysis approach for distributed hydrological model. J. Geogr. Sci. 22, 209–222 (2012). https://doi.org/10.1007/s11442-012-0922-5

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  • DOI: https://doi.org/10.1007/s11442-012-0922-5

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