메뉴 건너뛰기




Volumn 15, Issue 1, 2013, Pages 1-20

A conceptual grey rainfall-runoff model for simulation with uncertainty

Author keywords

Grey numbers; Rainfall runoff model; Uncertainty

Indexed keywords


EID: 84873604558     PISSN: 14647141     EISSN: None     Source Type: Journal    
DOI: 10.2166/hydro.2012.069     Document Type: Article
Times cited : (12)

References (59)
  • 1
    • 78049376462 scopus 로고    scopus 로고
    • Pipe roughness calibration in water distribution systems using grey numbers
    • Alvisi, S. & Franchini, M. 2010 Pipe roughness calibration in water distribution systems using grey numbers. J. Hydroinform. 12(4), 424-445.
    • (2010) J. Hydroinform. , vol.12 , Issue.4 , pp. 424-445
    • Alvisi, S.1    Franchini, M.2
  • 2
    • 78650584376 scopus 로고    scopus 로고
    • Fuzzy neural networks for water level and discharge forecasting with uncertainty
    • Alvisi, S. & Franchini, M. 2011 Fuzzy neural networks for water level and discharge forecasting with uncertainty. Environ. Model. Softw. 26(4), 523-537.
    • (2011) Environ. Model. Softw. , vol.26 , Issue.4 , pp. 523-537
    • Alvisi, S.1    Franchini, M.2
  • 3
    • 84860112246 scopus 로고    scopus 로고
    • Grey neural networks for river stage forecasting with uncertainty
    • Alvisi, S. & Franchini, M. 2012 Grey neural networks for river stage forecasting with uncertainty. Phys. Chem. Earth 42-44, 108-118.
    • (2012) Phys. Chem. Earth , vol.42-44 , pp. 108-118
    • Alvisi, S.1    Franchini, M.2
  • 4
    • 84873579835 scopus 로고    scopus 로고
    • A grey-based method for evaluating the effects of rating curve uncertainty on frequency analysis of annual maxima
    • Alvisi, S. & Franchini, M. 2013 A grey-based method for evaluating the effects of rating curve uncertainty on frequency analysis of annual maxima. J. Hydroinform. 15(1), 194-210.
    • (2013) J. Hydroinform. , vol.15 , Issue.1 , pp. 194-210
    • Alvisi, S.1    Franchini, M.2
  • 6
    • 0027788553 scopus 로고
    • Prophesy, reality and uncertainty in distributed hydrological modeling
    • Beven, K. J. 1993 Prophesy, reality and uncertainty in distributed hydrological modeling. Adv. Water Resour. 16, 41-51.
    • (1993) Adv. Water Resour. , vol.16 , pp. 41-51
    • Beven, K.J.1
  • 7
    • 33644526990 scopus 로고    scopus 로고
    • A manifesto for the equifinality thesis
    • Beven, K. J. 2006 A manifesto for the equifinality thesis. J. Hydrol. 320, 18-36.
    • (2006) J. Hydrol. , vol.320 , pp. 18-36
    • Beven, K.J.1
  • 8
    • 0027009437 scopus 로고
    • The future of distributed models: Model calibration and uncertainty prediction
    • Beven, K. J. & Binley, A. M. 1992 The future of distributed models: model calibration and uncertainty prediction. Hydrol. Process. 6, 279-298.
    • (1992) Hydrol. Process , vol.6 , pp. 279-298
    • Beven, K.J.1    Binley, A.M.2
  • 9
    • 80054684007 scopus 로고    scopus 로고
    • On the colour and spin of epistemic error (and what we might do about it)
    • Beven, K. J., Smith, P. J. & Wood, A. 2011 On the colour and spin of epistemic error (and what we might do about it). Hydrol. Earth Syst. Sci. 15, 3123-3133.
    • (2011) Hydrol. Earth Syst. Sci. , vol.15 , pp. 3123-3133
    • Beven, K.J.1    Smith, P.J.2    Wood, A.3
  • 10
    • 77952103742 scopus 로고    scopus 로고
    • Uncertainty assessment through a precipitation dependent hydrologic uncertainty processor: An application to a small catchment
    • Biondi, D., Versace, P. & Sirangelo, B. 2010 Uncertainty assessment through a precipitation dependent hydrologic uncertainty processor: an application to a small catchment. J. Hydrol. 386, 38-54.
    • (2010) J. Hydrol. , vol.386 , pp. 38-54
    • Biondi, D.1    Versace, P.2    Sirangelo, B.3
  • 11
    • 40849146963 scopus 로고    scopus 로고
    • Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov Chain Monte Carlo sampling
    • Blasone, R. S., Vrugt, J. A., Madsen, H., Rosbjerg, D., Zyvoloski, G. A. & Robinson, B. A. 2008 Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov Chain Monte Carlo sampling. Adv. Water Res. 31, 630-648.
    • (2008) Adv. Water Res. , vol.31 , pp. 630-648
    • Blasone, R.S.1    Vrugt, J.A.2    Madsen, H.3    Rosbjerg, D.4    Zyvoloski, G.A.5    Robinson, B.A.6
  • 12
    • 0037200170 scopus 로고    scopus 로고
    • Reservoir operation using grey fuzzy stochastic dynamic programming
    • Cheng, F. J., Hui, S. H. & Chen, Y. C. 2002 Reservoir operation using grey fuzzy stochastic dynamic programming. Hydrol. Proc. 16, 2395-2408.
    • (2002) Hydrol. Proc. , vol.16 , pp. 2395-2408
    • Cheng, F.J.1    Hui, S.H.2    Chen, Y.C.3
  • 14
    • 50849151631 scopus 로고
    • Control problems of grey systems
    • Deng, J. L. 1982 Control problems of grey systems. Syst. Control Lett. 1(5), 288-294.
    • (1982) Syst. Control Lett. , vol.1 , Issue.5 , pp. 288-294
    • Deng, J.L.1
  • 15
    • 0003760082 scopus 로고
    • Publishing House of Huazhong, University of Science and Technology, Wuhan
    • Deng, J. L. 1987 Basic Methodology of Grey System. Publishing House of Huazhong, University of Science and Technology, Wuhan
    • (1987) Basic Methodology of Grey System
    • Deng, J.L.1
  • 16
    • 0019392350 scopus 로고
    • First order analysis of uncertainty in numerical models for groundwater flows
    • Dettinger, M. D. & Wilson, J. L. 1981 First order analysis of uncertainty in numerical models for groundwater flows. Water Resour. Res. 17(1), 149-161.
    • (1981) Water Resour. Res. , vol.17 , Issue.1 , pp. 149-161
    • Dettinger, M.D.1    Wilson, J.L.2
  • 17
    • 0024192140 scopus 로고
    • Effective and efficient global optimization for conceptual rainfall runoff models
    • Duan, Q., Sorooshian, S. & Gupta, V. K. 1992 Effective and efficient global optimization for conceptual rainfall runoff models. Water Resour. Res. 24(7), 1163-1173.
    • (1992) Water Resour. Res. , vol.24 , Issue.7 , pp. 1163-1173
    • Duan, Q.1    Sorooshian, S.2    Gupta, V.K.3
  • 18
    • 0029657538 scopus 로고    scopus 로고
    • Use of a genetic algorithm combined with a local search method for the automatic calibration of conceptual rainfall runoff models
    • Franchini, M. 1996 Use of a genetic algorithm combined with a local search method for the automatic calibration of conceptual rainfall runoff models. Hydrol. Sci. J. 41, 21-39.
    • (1996) Hydrol. Sci. J. , vol.41 , pp. 21-39
    • Franchini, M.1
  • 19
    • 0026015424 scopus 로고
    • Comparative analysis of several conceptual rainfall-runoff models
    • Franchini, M. & Pacciani, M. 1991 Comparative analysis of several conceptual rainfall-runoff models. J. Hydrol. 122, 161-219.
    • (1991) J. Hydrol. , vol.122 , pp. 161-219
    • Franchini, M.1    Pacciani, M.2
  • 21
    • 26444548489 scopus 로고    scopus 로고
    • Model calibration and uncertainty estimation
    • M. G Anderson, ed. John Wiley, New York
    • Gupta, H. V., Beven, K. J. & Wagener, T. 2005 Model calibration and uncertainty estimation. In: Encyclopedia of Hydrological Sciences (M. G Anderson, ed.). John Wiley, New York, pp. 2015-2031.
    • (2005) Encyclopedia of Hydrological Sciences , pp. 2015-2031
    • Gupta, H.V.1    Beven, K.J.2    Wagener, T.3
  • 22
    • 0019392712 scopus 로고
    • An approach to preliminary analysis of environmental systems
    • Hornberger, G. M. & Spear, R. C. 1981 An approach to preliminary analysis of environmental systems. J. Environ. Manage. 12, 7-18.
    • (1981) J. Environ. Manage. , vol.12 , pp. 7-18
    • Hornberger, G.M.1    Spear, R.C.2
  • 23
    • 34249082149 scopus 로고    scopus 로고
    • Development of a possibilistic method for the evaluation of predictive uncertainty in rainfall-runoff modelling
    • Jacquin, A. P. & Shamseldin, A. Y. 2007 Development of a possibilistic method for the evaluation of predictive uncertainty in rainfall-runoff modelling. Water Resour. Res. 43, W04425.
    • (2007) Water Resour. Res. , vol.43
    • Jacquin, A.P.1    Shamseldin, A.Y.2
  • 24
    • 84873593799 scopus 로고    scopus 로고
    • Grey optimization for uncertainty modeling in water resources systems: Grey optimization models for environmental and water resources systems analysis
    • Saarbrucken, Germany
    • Karmakar, S. 2009 Grey Optimization For Uncertainty Modeling In Water Resources Systems: Grey Optimization Models for Environmental and Water Resources Systems Analysis. LAP Lambert Academic Publishing, Saarbrucken, Germany.
    • (2009) LAP Lambert Academic Publishing
    • Karmakar, S.1
  • 25
    • 33744538760 scopus 로고    scopus 로고
    • Grey fuzzy optimization for water quality management of a river system
    • Karmakar, S. & Mujumdar, P. P. 2006 Grey fuzzy optimization for water quality management of a river system. Adv. Water Resour. 29, 1088-1105.
    • (2006) Adv. Water Resour. , vol.29 , pp. 1088-1105
    • Karmakar, S.1    Mujumdar, P.P.2
  • 26
    • 33847284990 scopus 로고    scopus 로고
    • A two-phase grey fuzzy optimization approach for water quality management of a river system
    • Karmakar, S. & Mujumdar, P. P. 2007 A two-phase grey fuzzy optimization approach for water quality management of a river system. Adv. Water Resour. 30, 1218-1235.
    • (2007) Adv. Water Resour. , vol.30 , pp. 1218-1235
    • Karmakar, S.1    Mujumdar, P.P.2
  • 27
    • 0032853041 scopus 로고    scopus 로고
    • Bayesian theory of probabilistic forecasting via deterministic hydrologic model
    • Krzysztofowicz, R. 1999 Bayesian theory of probabilistic forecasting via deterministic hydrologic model. Water Resour. Res. 35(9), 2739-2750.
    • (1999) Water Resour. Res. , vol.35 , Issue.9 , pp. 2739-2750
    • Krzysztofowicz, R.1
  • 28
    • 0032214428 scopus 로고    scopus 로고
    • Monte Carlo assessment of parameter uncertainty in conceptual catchment models: The Metropolis algorithm
    • Kuczera, G. & Parent, E. 1998 Monte Carlo assessment of parameter uncertainty in conceptual catchment models: the Metropolis algorithm. J. Hydrol. 211, 69-85.
    • (1998) J. Hydrol. , vol.211 , pp. 69-85
    • Kuczera, G.1    Parent, E.2
  • 29
    • 77955581001 scopus 로고    scopus 로고
    • Evaluation of the subjective factors of the GLUE method and comparison with the formal Bayesian method in uncertainty assessment of hydrological models
    • Li, L., Xia, J., Xu, C. Y. & Singh, V. P. 2010 Evaluation of the subjective factors of the GLUE method and comparison with the formal Bayesian method in uncertainty assessment of hydrological models. J. Hydrol. 390, 210-221.
    • (2010) J. Hydrol. , vol.390 , pp. 210-221
    • Li, L.1    Xia, J.2    Xu, C.Y.3    Singh, V.P.4
  • 30
    • 43549099627 scopus 로고    scopus 로고
    • An introduction to grey systems: Foundation, methodology and applications
    • Slippery Rock, Pennsylvania, USA
    • Liu, S. & Lin, Y. 1998 An Introduction to Grey Systems: Foundation, Methodology and Applications. IIGSS Academic Pub., Slippery Rock, Pennsylvania, USA.
    • (1998) IIGSS Academic Pub.
    • Liu, S.1    Lin, Y.2
  • 31
    • 7244247371 scopus 로고    scopus 로고
    • Treatment of precipitation uncertainty in rainfall-runoff modelling: A fuzzy set approach
    • Maskey, S., Guinot, V. & Price, R. K. 2004 Treatment of precipitation uncertainty in rainfall-runoff modelling: a fuzzy set approach. Adv. Water Resour. 27, 889-898.
    • (2004) Adv. Water Resour. , vol.27 , pp. 889-898
    • Maskey, S.1    Guinot, V.2    Price, R.K.3
  • 33
    • 25844526502 scopus 로고    scopus 로고
    • Large sample behaviours of the generalized likelihood uncertainty estimation (GLUE) in assessing the uncertainty of rainfall-runoff simulations
    • Montanari, A. 2005 Large sample behaviours of the generalized likelihood uncertainty estimation (GLUE) in assessing the uncertainty of rainfall-runoff simulations. Water Resour. Res. 41, W08406.
    • (2005) Water Resour. Res. , vol.41
    • Montanari, A.1
  • 34
    • 84998693655 scopus 로고    scopus 로고
    • Uncertainty of hydrological predictions
    • P. Wilderer, ed., Academic Press, Oxford
    • Montanari, A. 2011 Uncertainty of hydrological predictions. In: Treatise on Water Science (P. Wilderer, ed.), vol. 2. Academic Press, Oxford, pp. 459-478.
    • (2011) Treatise on Water Science , vol.2 , pp. 459-478
    • Montanari, A.1
  • 35
    • 2542555104 scopus 로고    scopus 로고
    • A stocastic approach for assessing the uncertainty of rainfall-runoff simulations
    • Montanari, A. & Brath, A. 2004 A stocastic approach for assessing the uncertainty of rainfall-runoff simulations. Water Resour. Res. 40, W01106.
    • (2004) Water Resour. Res. , vol.40
    • Montanari, A.1    Brath, A.2
  • 36
    • 0022241420 scopus 로고
    • The probability-distributed principle and runoff production at point and basin scales
    • Moore, R. J. 1985 The probability-distributed principle and runoff production at point and basin scales. Hydrol. Sci. J. 30(2), 273-297.
    • (1985) Hydrol. Sci. J. , vol.30 , Issue.2 , pp. 273-297
    • Moore, R.J.1
  • 37
    • 0014776873 scopus 로고
    • River flow forecasting through conceptual models 1: A discussion of principles
    • Nash, J. E. & Sutcliffe, J. V. 1970 River flow forecasting through conceptual models 1: a discussion of principles. J. Hydrol. 10(3), 282-290.
    • (1970) J. Hydrol. , vol.10 , Issue.3 , pp. 282-290
    • Nash, J.E.1    Sutcliffe, J.V.2
  • 38
    • 0026309957 scopus 로고
    • A historical perspective
    • D. S. Bowles & P. E. O'Connel, eds. Kluwer, Dordrecht
    • O'Connel, P. E. 1991 A historical perspective. In: Recent Advances in the Modeling of Hydrologic Systems (D. S. Bowles & P. E. O'Connel, eds). Kluwer, Dordrecht, pp. 3-30.
    • (1991) Recent Advances in the Modeling of Hydrologic Systems , pp. 3-30
    • O'Connel, P.E.1
  • 39
    • 0002207938 scopus 로고
    • A fast algorithm for nonlinearly constrained optimization calculations
    • G. A. Watson, ed. Lecture Notes in Mathematics, Springer Verlag, Berlin, Germany
    • Powell, M. J. D. 1978 A fast algorithm for nonlinearly constrained optimization calculations. In: Numerical Analysis (G. A. Watson, ed.). Lecture Notes in Mathematics, vol. 630. Springer Verlag, Berlin, Germany.
    • (1978) Numerical Analysis , vol.630
    • Powell, M.J.D.1
  • 40
    • 0002741508 scopus 로고
    • Variable metric methods for constrained optimization
    • A. Bechem, M. Grostschel & B. Korte, eds. Springer Verlag, Germany
    • Powell, M. J. D. 1983 Variable metric methods for constrained optimization. In: Mathematical Programming: The State of the Art (A. Bechem, M. Grostschel & B. Korte, eds). Springer Verlag, Germany, pp. 288-311.
    • (1983) Mathematical Programming: The State of the Art , pp. 288-311
    • Powell, M.J.D.1
  • 41
    • 34250129599 scopus 로고
    • NLQPL: A Fortran-subroutine solving constrained nonlinear programming problems
    • Schitlowski, K. 1985 NLQPL: A Fortran-subroutine solving constrained nonlinear programming problems. Oper. Res. 5, 485-500.
    • (1985) Oper. Res. , vol.5 , pp. 485-500
    • Schitlowski, K.1
  • 42
    • 33645987256 scopus 로고    scopus 로고
    • Machine learning approaches for estimation of prediction interval for the model output
    • Shrestha, D. L. & Solomatine, D. P. 2006 Machine learning approaches for estimation of prediction interval for the model output. Neural Netw. 19(2), 225-235.
    • (2006) Neural Netw. , vol.19 , Issue.2 , pp. 225-235
    • Shrestha, D.L.1    Solomatine, D.P.2
  • 43
    • 65849306265 scopus 로고    scopus 로고
    • Data-driven approaches for estimating uncertainty in rainfall runoff modelling
    • Shrestha, D. L. & Solomatine, D. P. 2008 Data-driven approaches for estimating uncertainty in rainfall runoff modelling. J. River Basin Manage. 6(2), 109-122.
    • (2008) J. River Basin Manage. , vol.6 , Issue.2 , pp. 109-122
    • Shrestha, D.L.1    Solomatine, D.P.2
  • 44
    • 84947903067 scopus 로고
    • Computer models of watershed hydrology
    • Highlands Ranch, CO
    • Singh, V. P. 1995 Computer Models of Watershed Hydrology. Water Resources Publications, Highlands Ranch, CO.
    • (1995) Water Resources Publications
    • Singh, V.P.1
  • 45
    • 0037565156 scopus 로고    scopus 로고
    • Model trees as an alternative to neural networks in rainfall runoff modelling
    • Solomatine, D. P. & Dulal, K. N. 2003 Model trees as an alternative to neural networks in rainfall runoff modelling. Hydrol. Sci. J. 48(3), 399-411.
    • (2003) Hydrol. Sci. J. , vol.48 , Issue.3 , pp. 399-411
    • Solomatine, D.P.1    Dulal, K.N.2
  • 46
    • 69949188688 scopus 로고    scopus 로고
    • Appraisal of the generalized likelihood uncertainty estimation (GLUE) method
    • Stedinger, J. R, Vogel, R. M., Lee, S. U. & Batchelder, R. 2008 Appraisal of the generalized likelihood uncertainty estimation (GLUE) method. Water Resour. Res. 44, W00B06.
    • (2008) Water Resour. Res. , vol.44
    • Stedinger, J.R.1    Vogel, R.M.2    Lee, S.U.3    Batchelder, R.4
  • 47
    • 0000148490 scopus 로고
    • Precipitation averages for large areas
    • Thiessen, A. H. 1911 Precipitation averages for large areas. Mon. Weather Rev. 39(7), 1082-1084.
    • (1911) Mon. Weather Rev. , vol.39 , Issue.7 , pp. 1082-1084
    • Thiessen, A.H.1
  • 48
    • 0030483015 scopus 로고    scopus 로고
    • The ARNO rainfall runoff model
    • Todini, E. 1996 The ARNO rainfall runoff model. J. Hydrol. 175, 339-382.
    • (1996) J. Hydrol. , vol.175 , pp. 339-382
    • Todini, E.1
  • 49
    • 66049147497 scopus 로고    scopus 로고
    • A model conditional processor to assess predictive uncertainty in flood forecasting
    • Todini, E. 2008 A model conditional processor to assess predictive uncertainty in flood forecasting. Intl. J. River Basin Manage. 6(2), 123-137.
    • (2008) Intl. J. River Basin Manage. , vol.6 , Issue.2 , pp. 123-137
    • Todini, E.1
  • 50
    • 37549066943 scopus 로고    scopus 로고
    • Multistep ahead streamflow forecasting: Role of calibration data in conceptual and neural network modelling
    • Toth, E. & Brath, A. 2007 Multistep ahead streamflow forecasting: role of calibration data in conceptual and neural network modelling. Water Resour. Res. 43, W11405.
    • (2007) Water Resour. Res. , vol.43
    • Toth, E.1    Brath, A.2
  • 51
    • 0344568284 scopus 로고    scopus 로고
    • Uncertainty and reliability analysis
    • L. W. Mays, ed. McGraw-Hill Book Company, New York
    • Tung, Y.-K. 1996 Uncertainty and reliability analysis. In: Water Resources Handbook (L. W. Mays, ed.). McGraw-Hill Book Company, New York, pp. 7.1-7.65.
    • (1996) Water Resources Handbook , pp. 71-765
    • Tung, Y.-K.1
  • 52
    • 1542757127 scopus 로고    scopus 로고
    • A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters
    • Vrugt, J. A., Gupta, H. V., Bouten, W. & Sorooshian, S. 2003 A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resour. Res. 39(8), 1201.
    • (2003) Water Resour. Res. , vol.39 , Issue.8 , pp. 1201
    • Vrugt, J.A.1    Gupta, H.V.2    Bouten, W.3    Sorooshian, S.4
  • 54
    • 20444390650 scopus 로고    scopus 로고
    • Application of grey numerical model to groundwater resource evaluation
    • Wu, Q., Zhou, W., Li, S. & Wu, X. 2005 Application of grey numerical model to groundwater resource evaluation. Environ. Geol. 47, 991-999.
    • (2005) Environ. Geol. , vol.47 , pp. 991-999
    • Wu, Q.1    Zhou, W.2    Li, S.3    Wu, X.4
  • 56
    • 0003099021 scopus 로고
    • The validity and credibility of models for badly defined systems
    • M. B. Beck & G Van Straten, eds. Springer Verlag, New York
    • Young, P. C. 1983 The validity and credibility of models for badly defined systems. In: Uncertainty and Forecasting of Water Quality (M. B. Beck & G Van Straten, eds). Springer Verlag, New York.
    • (1983) Uncertainty and Forecasting of Water Quality
    • Young, P.C.1
  • 57
    • 37549062601 scopus 로고    scopus 로고
    • An empirical method to improve the prediction limits of the GLUE methodology in rainfall-runoff modelling
    • Xiong, L. & O'Connor, K. M. 2008 An empirical method to improve the prediction limits of the GLUE methodology in rainfall-runoff modelling. J. Hydrol. 349, 115-124.
    • (2008) J. Hydrol. , vol.349 , pp. 115-124
    • Xiong, L.1    O'Connor, K.M.2
  • 59
    • 62949213977 scopus 로고    scopus 로고
    • Estimating uncertainty of streamflow simulation using Bayesian neural networks
    • Zhang, X., Liang, F., Srinivasan, R. & Van Liew, M. 2009 Estimating uncertainty of streamflow simulation using Bayesian neural networks. Water Resour. Res. 45, W02403.
    • (2009) Water Resour. Res. , vol.45
    • Zhang, X.1    Liang, F.2    Srinivasan, R.3    Van Liew, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.