메뉴 건너뛰기




Volumn 48, Issue 9, 2012, Pages

Analysis of regression confidence intervals and bayesian credible intervals for uncertainty quantification

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL AND NUMERICAL MODELS; BAYESIAN THEORY; CONFIDENCE INTERVAL; CONFIDENCE REGION; CREDIBLE INTERVAL; CREDIBLE REGIONS; DATA COLLECTION STRATEGIES; ENVIRONMENTAL MODEL; ENVIRONMENTAL MODELING; ENVIRONMENTAL PROBLEMS; EXECUTION TIME; GAUSSIAN ERRORS; GROUNDWATER MODELS; INDIVIDUAL MODELS; INTRINSIC MODEL; LIKELIHOOD METHODS; MARKOV CHAIN MONTE CARLO; MODEL CONSTRUCTION; MODEL DEVELOPMENT; MODEL ERRORS; MONOTONIC FUNCTIONS; NON-IDEAL CONDITIONS; NON-LINEAR MODEL; NON-LINEARITY; OBSERVATION ERRORS; PREDICTIVE UNCERTAINTY; PRIOR INFORMATION; UNCERTAINTY INTERVALS; UNCERTAINTY QUANTIFICATIONS;

EID: 84866709402     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR011289     Document Type: Article
Times cited : (61)

References (89)
  • 2
    • 0002256849 scopus 로고
    • Relative curvature measures of nonlinearity
    • Bates, D. M., and D. G. Watts (1980), Relative curvature measures of nonlinearity, J. R. Stat. Soc. B, 42(1), 1-25.
    • (1980) J. R. Stat. Soc. B , vol.42 , Issue.1 , pp. 1-25
    • Bates, D.M.1    Watts, D.G.2
  • 4
    • 0002115313 scopus 로고
    • Confidence regions in non-linear estimation
    • Beale, E. M. L. (1960), Confidence regions in non-linear estimation, J. R. Stat. Soc., B, 22(1), 41-76.
    • (1960) J. R. Stat. Soc., B , vol.22 , Issue.1 , pp. 41-76
    • Beale, E.M.L.1
  • 7
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information
    • doi:10.1029/WR022i002p00199
    • Carrera, J., and S. P. Neuman (1986), Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information, Water Resour. Res., 22(2), 199-210, doi:10.1029/WR022i002p00199.
    • (1986) Water Resour. Res. , vol.22 , Issue.2 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 9
    • 0033245240 scopus 로고    scopus 로고
    • Monte Carlo estimation of Bayesian credible and HPD intervals
    • Chen, M., and Q. Shao (1999), Monte Carlo estimation of Bayesian credible and HPD intervals, J. Comput. Graph. Statist., 8(1), 69-92.
    • (1999) J. Comput. Graph. Statist. , vol.8 , Issue.1 , pp. 69-92
    • Chen, M.1    Shao, Q.2
  • 10
    • 0033597586 scopus 로고    scopus 로고
    • Evaluation of confidence intervals for a steady-state leaky aquifer model
    • doi:10.1016/S0309-1708 98 00055-4
    • Christensen, S., and R. L. Cooley (1999), Evaluation of confidence intervals for a steady-state leaky aquifer model, Adv. Water Resour., 22(8), 807-817, doi:10.1016/S0309-1708 (98) 00055-4.
    • (1999) Adv. Water Resour. , vol.22 , Issue.8 , pp. 807-817
    • Christensen, S.1    Cooley, R.L.2
  • 11
    • 84866700186 scopus 로고    scopus 로고
    • User guide to the UNC process and three utility programs for computation of nonlinear confidence and prediction intervals using MODFLOW-2000
    • Christensen, S., and R. L. Cooley (2005), User guide to the UNC process and three utility programs for computation of nonlinear confidence and prediction intervals using MODFLOW-2000, U. S. Geol. Surv. Tech. Methods Rep., 2004-1349.
    • (2005) U. S. Geol. Surv. Tech. Methods Rep. , pp. 2004-1349
    • Christensen, S.1    Cooley, R.L.2
  • 12
    • 80053590883 scopus 로고    scopus 로고
    • Pursuing the method of multiple working hypotheses for hydrological modeling
    • doi:10.1029/2010WR009827
    • Clark, M. P., D. Kavetski, and F. Fenicia (2011), Pursuing the method of multiple working hypotheses for hydrological modeling, Water Resour. Res., 47, W09301, doi:10.1029/2010WR009827.
    • (2011) Water Resour. Res. , vol.47
    • Clark, M.P.1    Kavetski, D.2    Fenicia, F.3
  • 14
    • 0017478516 scopus 로고
    • A method of estimating parameters and assessing reliability for models of steady-state groundwater flow: 1. Theory and numerical properties
    • doi:10.1029/WR013i002p00318
    • Cooley, R. L. (1977), A method of estimating parameters and assessing reliability for models of steady-state groundwater flow: 1. Theory and numerical properties, Water Resour. Res., 13(2), 318-324, doi:10.1029/WR013i002p00318.
    • (1977) Water Resour. Res. , vol.13 , Issue.2 , pp. 318-324
    • Cooley, R.L.1
  • 15
    • 0018654833 scopus 로고
    • A method of estimating parameters and assessing reliability for models of steady state groundwater flow: 2. Application of statistical analysis
    • doi:10.1029/WR015i003p00603
    • Cooley, R. L. (1979), A method of estimating parameters and assessing reliability for models of steady state groundwater flow: 2. Application of statistical analysis, Water Resour. Res., 15(3), 603-617, doi:10.1029/ WR015i003p00603.
    • (1979) Water Resour. Res. , vol.15 , Issue.3 , pp. 603-617
    • Cooley, R.L.1
  • 16
    • 0020969326 scopus 로고
    • Incorporation of prior information on parameters into nonlinear regression groundwater flow models: 2. Applications
    • doi:10.1029/WR019i003p00662
    • Cooley, R. L. (1983), Incorporation of prior information on parameters into nonlinear regression groundwater flow models: 2. Applications, Water Resour. Res., 19(3), 662-676, doi:10.1029/WR019i003p00662.
    • (1983) Water Resour. Res. , vol.19 , Issue.3 , pp. 662-676
    • Cooley, R.L.1
  • 17
    • 0027387317 scopus 로고
    • Exact Scheffé-type confidence intervals for output from groundwater flow models: 1. Use of hydrogeologic information
    • doi:10.1029/92WR01863
    • Cooley, R. L. (1993a), Exact Scheffé-type confidence intervals for output from groundwater flow models: 1. Use of hydrogeologic information, Water Resour. Res., 29(1), 17-33, doi:10.1029/92WR01863.
    • (1993) Water Resour. Res. , vol.29 , Issue.1 , pp. 17-33
    • Cooley, R.L.1
  • 18
    • 0027430389 scopus 로고
    • Exact Scheffé-type confidence intervals for output from groundwater flow models 2. Combined use of hydrogeologic information and calibration data
    • doi:10.1029/92WR01864
    • Cooley, R. L. (1993b), Exact Scheffé-type confidence intervals for output from groundwater flow models 2. Combined use of hydrogeologic information and calibration data, Water Resour. Res., 29(1), 35-50, doi:10.1029/92WR01864.
    • (1993) Water Resour. Res. , vol.29 , Issue.1 , pp. 35-50
    • Cooley, R.L.1
  • 19
    • 0031236128 scopus 로고    scopus 로고
    • Confidence intervals for ground water models using linearization
    • doi:10.1111/j.1745-6584.1997.tb00155.x
    • Cooley, R. L. (1997), Confidence intervals for ground water models using linearization, likelihood, and bootstrap method, Ground Water, 35(5), 869-880, doi:10.1111/j.1745-6584.1997.tb00155.x.
    • (1997) Likelihood, and Bootstrap Method, Ground Water , vol.35 , Issue.5 , pp. 869-880
    • Cooley, R.L.1
  • 20
    • 0032927648 scopus 로고    scopus 로고
    • Practical Scheffe-type credibility intervals for variables of a groundwater model
    • doi:10.1029/98WR02819
    • Cooley, R. L. (1999), Practical Scheffe-type credibility intervals for variables of a groundwater model, Water Resour. Res., 35(1), 113-126, doi:10.1029/98WR02819.
    • (1999) Water Resour. Res. , vol.35 , Issue.1 , pp. 113-126
    • Cooley, R.L.1
  • 21
    • 6344228501 scopus 로고    scopus 로고
    • A theory for modeling groundwater flow in heterogeneous media
    • Cooley, R. L. (2004), A theory for modeling groundwater flow in heterogeneous media, U. S. Geol. Surv. Prof. Pap., 1679.
    • (2004) U. S. Geol. Surv. Prof. Pap. , pp. 1679
    • Cooley, R.L.1
  • 23
    • 0023400916 scopus 로고
    • Calculation of nonlinear confidence and prediction intervals for groundwater flow models
    • doi:10.1111/j.1752-1688.1987.tb00834.x
    • Cooley, R. L., and A. V. Vecchia (1987), Calculation of nonlinear confidence and prediction intervals for groundwater flow models, Water Resour. Bull, 23(4), 581-599, doi:10.1111/j.1752-1688.1987.tb00834.x.
    • (1987) Water Resour. Bull. , vol.23 , Issue.4 , pp. 581-599
    • Cooley, R.L.1    Vecchia, A.V.2
  • 24
    • 77955974089 scopus 로고    scopus 로고
    • Quantifying data worth toward reducing predictive uncertainty
    • doi:10.1111/j.1745-6584.2010.00679.x
    • Dausman, A. M., J. Doherty, C. D. Langevin, and M. C. Sukop (2010), Quantifying data worth toward reducing predictive uncertainty, Ground Water, 48(5), 729-740, doi:10.1111/j.1745-6584.2010.00679.x.
    • (2010) Ground Water , vol.48 , Issue.5 , pp. 729-740
    • Dausman, A.M.1    Doherty, J.2    Langevin, C.D.3    Sukop, M.C.4
  • 26
    • 72249100800 scopus 로고    scopus 로고
    • Response to comment on "Two statistics for evaluating parameter identifiability and error reduction"
    • doi:10.1016/j.jhydrol.2009.10.012
    • Doherty, J., and R. J. Hunt (2010), Response to comment on "Two statistics for evaluating parameter identifiability and error reduction", J. Hydrol, 380, 489-496, doi:10.1016/j.jhydrol.2009.10.012.
    • (2010) J. Hydrol , vol.380 , pp. 489-496
    • Doherty, J.1    Hunt, R.J.2
  • 27
    • 0023288435 scopus 로고
    • Computational experience with confidence regions and confidence intervals for nonlinear least squares
    • Donaldson, J. R., and R. B. Schnabel (1987), Computational experience with confidence regions and confidence intervals for nonlinear least squares, Technometrics, 29, 67-82.
    • (1987) Technometrics , vol.29 , pp. 67-82
    • Donaldson, J.R.1    Schnabel, R.B.2
  • 29
    • 77955941553 scopus 로고    scopus 로고
    • Using prediction uncertainty analysis to design hydrologic monitoring networks: Example applications from the great lakes water availability pilot project
    • Fienen, M. N., J. E. Doherty, R. J. Hunt, and H. W. Reeves (2010), Using prediction uncertainty analysis to design hydrologic monitoring networks: Example applications from the great lakes water availability pilot project, U. S. Geol. Surv. Sci. Invest. Rep., 2010-5159.
    • (2010) U. S. Geol. Surv. Sci. Invest. Rep. , pp. 2010-5159
    • Fienen, M.N.1    Doherty, J.E.2    Hunt, R.J.3    Reeves, H.W.4
  • 30
    • 0029413033 scopus 로고
    • Solving the estimation-identification problem in two-phase flow modeling
    • doi:10.1029/94WR03038
    • Finsterle, S., and K. Pruess (1995), Solving the estimation- identification problem in two-phase flow modeling, Water Resour. Res., 31(4), 913-924, doi:10.1029/94WR03038.
    • (1995) Water Resour. Res. , vol.31 , Issue.4 , pp. 913-924
    • Finsterle, S.1    Pruess, K.2
  • 31
    • 79953103536 scopus 로고    scopus 로고
    • Error handling strategies in multiphase inverse modeling
    • doi:10.1016/j.cageo. 2010.11.009
    • Finsterle, S., and Y. Zhang (2011), Error handling strategies in multiphase inverse modeling, Comput. Geosci., 37, 724-730, doi:10.1016/j.cageo. 2010.11.009.
    • (2011) Comput. Geosci. , vol.37 , pp. 724-730
    • Finsterle, S.1    Zhang, Y.2
  • 32
    • 34548142151 scopus 로고    scopus 로고
    • Testing alternative ground water models using cross-validation and other methods
    • doi:10.1111/j.1745-6584.2007.00341.x
    • Foglia, L., S. W. Mehl, M. C. Hill, P. Perona, and P. Burlando (2007), Testing alternative ground water models using cross-validation and other methods, Ground Water, 45(5), 627-641, doi:10.1111/j.1745-6584.2007.00341.x.
    • (2007) Ground Water , vol.45 , Issue.5 , pp. 627-641
    • Foglia, L.1    Mehl, S.W.2    Hill, M.C.3    Perona, P.4    Burlando, P.5
  • 33
    • 79952225770 scopus 로고    scopus 로고
    • Imprecise probabilistic evaluation of sewer flooding in urban drainage systems using random set theory
    • doi:10.1029/2009WR008944
    • Fu, G., D. Butler, S.-T. Khu, and S. Sun (2011), Imprecise probabilistic evaluation of sewer flooding in urban drainage systems using random set theory, Water Resour. Res., 47, W02534, doi:10.1029/2009WR008944.
    • (2011) Water Resour. Res. , vol.47
    • Fu, G.1    Butler, D.2    Khu, S.-T.3    Sun, S.4
  • 34
    • 33846829888 scopus 로고    scopus 로고
    • Parameter estimation and uncertainty analysis for a watershed model
    • doi:10.1016/j.envsoft.2006.06.007
    • Gallagher, M., and J. Doherty (2007), Parameter estimation and uncertainty analysis for a watershed model, Environ. Model. Softw., 22, 1000-1020, doi:10.1016/j.envsoft.2006.06.007.
    • (2007) Environ. Model. Softw. , vol.22 , pp. 1000-1020
    • Gallagher, M.1    Doherty, J.2
  • 36
    • 0038563932 scopus 로고    scopus 로고
    • An adaptive Metropolis algorithm
    • doi:10.2307/3318737
    • Haario, H., E. Saksman, and J. Tamminen (2001), An adaptive Metropolis algorithm, Bernoulli, 7(2), 223-242, doi:10.2307/3318737.
    • (2001) Bernoulli , vol.7 , Issue.2 , pp. 223-242
    • Haario, H.1    Saksman, E.2    Tamminen, J.3
  • 38
    • 72249111076 scopus 로고    scopus 로고
    • Comment on "Two statistics for evaluating parameter identifiability and error reduction" by John Doherty and Randall J. Hunt
    • doi:10.1016/j.jhydrol.2009.10.011
    • Hill, M. C. (2010), Comment on "Two statistics for evaluating parameter identifiability and error reduction" by John Doherty and Randall J. Hunt, J. Hydrol, 380, 481-488, doi:10.1016/j.jhydrol.2009.10.011.
    • (2010) J. Hydrol , vol.380 , pp. 481-488
    • Hill, M.C.1
  • 40
    • 0032080182 scopus 로고    scopus 로고
    • A controlled experiment in ground water flow model calibration
    • doi:10.1111/j.1745-6584.1998.tb02824.x
    • Hill, M. C., R. L. Cooley, and D. W. Pollock (1998), A controlled experiment in ground water flow model calibration, Ground Water, 36(3), 520-535, doi:10.1111/j.1745-6584.1998.tb02824.x.
    • (1998) Ground Water , vol.36 , Issue.3 , pp. 520-535
    • Hill, M.C.1    Cooley, R.L.2    Pollock, D.W.3
  • 42
    • 77958463981 scopus 로고    scopus 로고
    • Ancient numerical daemons of conceptual hydrological modeling: 2. Impact of time stepping schemes on model analysis and prediction
    • doi:10.1029/2009WR008896
    • Kavetski, D., and M. P. Clark (2010), Ancient numerical daemons of conceptual hydrological modeling: 2. Impact of time stepping schemes on model analysis and prediction, Water Resour. Res., 46, W10511, doi:10.1029/ 2009WR008896.
    • (2010) Water Resour. Res. , vol.46
    • Kavetski, D.1    Clark, M.P.2
  • 43
    • 33644521269 scopus 로고    scopus 로고
    • Calibration of conceptual hydrological models revisited: 2. Improving optimization and analysis
    • doi:10.1016/j.jhydrol.2005.07.013
    • Kavetski, D., G. Kuczera, and S. W. Franks (2006), Calibration of conceptual hydrological models revisited: 2. Improving optimization and analysis, J. Hydrol., 320, 187-201, doi:10.1016/j.jhydrol.2005.07.013.
    • (2006) J. Hydrol. , vol.320 , pp. 187-201
    • Kavetski, D.1    Kuczera, G.2    Franks, S.W.3
  • 44
    • 0022697970 scopus 로고
    • Parameter uncertainty in estimation of spatial functions: Bayesian analysis
    • doi:10.1029/WR022i004p00499
    • Kitanidis, P. K. (1986), Parameter uncertainty in estimation of spatial functions: Bayesian analysis, Water Resour. Res., 22(4), 499-507, doi:10.1029/WR022i004p00499.
    • (1986) Water Resour. Res. , vol.22 , Issue.4 , pp. 499-507
    • Kitanidis, P.K.1
  • 46
    • 84885506735 scopus 로고    scopus 로고
    • Bayesian and geostatistical approaches to inverse problems
    • L. Biegler et al., Wiley, New York, doi:10.1002/9780470685853.ch4
    • Kitanidis, P. K. (2010), Bayesian and geostatistical approaches to inverse problems, in Large-scale inverse problems and quantification of uncertainty, edited by L. Biegler et al., pp. 71-86, Wiley, New York, doi:10.1002/9780470685853.ch4.
    • (2010) Large-scale Inverse Problems and Quantification of Uncertainty , pp. 71-86
    • Kitanidis, P.K.1
  • 48
    • 72149111968 scopus 로고    scopus 로고
    • Bayesian model averaging for groundwater head prediction and uncertainty analysis using multimodel and multimethod
    • doi:10.1029/2008WR007488
    • Li, X., and F. T.-C. Tsai (2009), Bayesian model averaging for groundwater head prediction and uncertainty analysis using multimodel and multimethod, Water Resour. Res., 45, W09403, doi:10.1029/2008WR007488.
    • (2009) Water Resour. Res. , vol.45
    • Li, X.1    Tsai, F.T.-C.2
  • 49
    • 84995038412 scopus 로고
    • Nonlinearity measures: A case study
    • doi:10.1111/j.1467-9574.1975.tb00253.x
    • Linssen, H. N. (1975), Nonlinearity measures: A case study, Stat. Neerl., 29, 93-99, doi:10.1111/j.1467-9574.1975.tb00253.x.
    • (1975) Stat. Neerl. , vol.29 , pp. 93-99
    • Linssen, H.N.1
  • 50
    • 78249271362 scopus 로고    scopus 로고
    • Parameter estimation in nonlinear environmental problems
    • doi:10.1007/s00477-010-0395-y
    • Liu, X., M. A. Cardiff, and P. K. Kitanidis (2010), Parameter estimation in nonlinear environmental problems, Stochastic Environ. Res. Risk Assess., 24, 1003-1022, doi:10.1007/s00477-010-0395-y.
    • (2010) Stochastic Environ. Res. Risk Assess. , vol.24 , pp. 1003-1022
    • Liu, X.1    Cardiff, M.A.2    Kitanidis, P.K.3
  • 51
    • 82355187637 scopus 로고    scopus 로고
    • Multimodel Bayesian analysis of data-worth applied to unsaturated fractured tuffs
    • doi:10.1016/j.advwatres.2011.10.007
    • Lu, D., M. Ye, S. P. Neuman, and L. Xue (2012), Multimodel Bayesian analysis of data-worth applied to unsaturated fractured tuffs, Adv. Water Resour., 35, 69-82, doi:10.1016/j.advwatres.2011.10.007.
    • (2012) Adv. Water Resour. , vol.35 , pp. 69-82
    • Lu, D.1    Ye, M.2    Neuman, S.P.3    Xue, L.4
  • 52
    • 0003818373 scopus 로고    scopus 로고
    • 8th ed., Prentice Hall, Upper Saddle River, N. J
    • McClave, J. T., and T. Sincich (2000), Statistics, 8th ed., Prentice Hall, Upper Saddle River, N. J.
    • (2000) Statistics
    • McClave, J.T.1    Sincich, T.2
  • 53
    • 77950516265 scopus 로고    scopus 로고
    • Grid-size dependence of Cauchy boundary conditions used to simulate stream-aquifer interactions
    • doi:10.1016/j.advwatres.2010.01.008
    • Mehl, S. W., and M. C. Hill (2010), Grid-size dependence of Cauchy boundary conditions used to simulate stream-aquifer interactions, Adv. Water Resour., 33, 430-442, doi:10.1016/j.advwatres.2010.01.008.
    • (2010) Adv. Water Resour. , vol.33 , pp. 430-442
    • Mehl, S.W.1    Hill, M.C.2
  • 55
    • 2542555104 scopus 로고    scopus 로고
    • A stochastic approach for assessing the uncertainty of rainfall-runoff simulations
    • doi:10.1029/2003WR002540
    • Montanari, A., and A. Brath (2004), A stochastic approach for assessing the uncertainty of rainfall-runoff simulations, Water Resour. Res., 40, W01106, doi:10.1029/2003WR002540.
    • (2004) Water Resour. Res. , vol.40
    • Montanari, A.1    Brath, A.2
  • 56
    • 72149128601 scopus 로고    scopus 로고
    • Estimating the uncertainty of hydrological forecasts: A statistical approach
    • doi:10.1029/2008WR006897
    • Montanari, A., and G. Grossi (2008), Estimating the uncertainty of hydrological forecasts: A statistical approach, Water Resour. Res., 44, W00B08, doi:10.1029/2008WR006897.
    • (2008) Water Resour. Res. , vol.44
    • Montanari, A.1    Grossi, G.2
  • 58
    • 0348225037 scopus 로고    scopus 로고
    • Maximum likelihood Bayesian averaging of alternative conceptual- mathematical models
    • doi:10.1007/s00477-003-0151-7
    • Neuman, S. P. (2003), Maximum likelihood Bayesian averaging of alternative conceptual-mathematical models, Stochastic Environ. Res. Risk Assess., 17(5), 291-305, doi:10.1007/s00477-003-0151-7.
    • (2003) Stochastic Environ. Res. Risk Assess. , vol.17 , Issue.5 , pp. 291-305
    • Neuman, S.P.1
  • 60
    • 84855222661 scopus 로고    scopus 로고
    • Bayesian analysis of data-worth considering model and parameter uncertainties
    • doi:10.1016/j.advwatres.2011.02.007, in press
    • Neuman, S. P., L. Xue, M. Ye, and D. Lu (2012), Bayesian analysis of data-worth considering model and parameter uncertainties, Adv. Water Resour., doi:10.1016/j.advwatres.2011.02.007, in press.
    • (2012) Adv. Water Resour.
    • Neuman, S.P.1    Xue, L.2    Ye, M.3    Lu, D.4
  • 62
    • 78649922951 scopus 로고    scopus 로고
    • Effects of model formulation and calibration data on uncertainty in dense nonaqueous phase liquids source dissolution predictions
    • doi:10.1029/2010WR009361
    • Parker, J. C., U. Kim, M. Widdowson, P. Kitanidis, and R. Gentry (2010), Effects of model formulation and calibration data on uncertainty in dense nonaqueous phase liquids source dissolution predictions, Water Resour. Res., 46, W12517, doi:10.1029/2010WR009361.
    • (2010) Water Resour. Res. , vol.46
    • Parker, J.C.1    Kim, U.2    Widdowson, M.3    Kitanidis, P.4    Gentry, R.5
  • 63
    • 22244490375 scopus 로고    scopus 로고
    • Multimodel ranking and inference in ground water modeling
    • doi:10.1111/j.1745-6584.2005.0061.x
    • Poeter, E. P., and D. A. Anderson (2005), Multimodel ranking and inference in ground water modeling, Ground Water, 43(4), 597-605, doi:10.1111/j.1745-6584.2005.0061.x.
    • (2005) Ground Water , vol.43 , Issue.4 , pp. 597-605
    • Poeter, E.P.1    Anderson, D.A.2
  • 66
    • 84864535862 scopus 로고    scopus 로고
    • Review of surrogate modeling in water resources
    • doi:10.1029/2011WR011527
    • Razavi, S., B. A. Tolson, and D. H. Burn (2012), Review of surrogate modeling in water resources, Water Resour. Res., 48, W07401, doi:10.1029/2011WR011527.
    • (2012) Water Resour. Res. , vol.48
    • Razavi, S.1    Tolson, B.A.2    Burn, D.H.3
  • 67
    • 81755176146 scopus 로고    scopus 로고
    • Toward a reliable decomposition of predictive uncertainty in hydrological modeling: Characterizing rainfall errors using conditional simulation
    • doi:10.1029/2011WR010643
    • Renard, B., D. Kavetski, E. Leblois, M. Thyer, G. Kuczera, and S. W. Franks (2011), Toward a reliable decomposition of predictive uncertainty in hydrological modeling: Characterizing rainfall errors using conditional simulation, Water Resour. Res., 47, W11516, doi:10.1029/2011WR010643.
    • (2011) Water Resour. Res. , vol.47
    • Renard, B.1    Kavetski, D.2    Leblois, E.3    Thyer, M.4    Kuczera, G.5    Franks, S.W.6
  • 69
    • 34249103927 scopus 로고    scopus 로고
    • Bayesian analysis for uncertainty estimation of a canopy transpiration model
    • doi:10.1029/2006WR005028
    • Samanta, S., D. S. Mackay, M. K. Clayton, E. L. Kruger, and B. E. Ewers (2007), Bayesian analysis for uncertainty estimation of a canopy transpiration model, Water Resour. Res., 43, W04424, doi:10.1029/2006WR005028.
    • (2007) Water Resour. Res. , vol.43
    • Samanta, S.1    Mackay, D.S.2    Clayton, M.K.3    Kruger, E.L.4    Ewers, B.E.5
  • 70
    • 77954727893 scopus 로고    scopus 로고
    • A formal likelihood function for parameter and predictive inference of hydrologic models with correlated, Heteroscedastic, and Non-Gaussian Errors
    • doi:10.1029/2009WR008933
    • Schoups, G., and J. A. Vrugt (2010), A formal likelihood function for parameter and predictive inference of hydrologic models with correlated, heteroscedastic, and non-Gaussian errors, Water Resour. Res., 46, W10531, doi:10.1029/2009WR008933.
    • (2010) Water Resour. Res. , vol.46
    • Schoups, G.1    Vrugt, J.A.2
  • 72
    • 0036563228 scopus 로고    scopus 로고
    • Experimental design and model parameter estimation for locating a dissolving dense nonaqueous phase liquid pool in groundwater
    • doi:10.1029/2000WR000134
    • Sciortino, A., T. C. Harmon, and W. W.-G. Yeh (2002), Experimental design and model parameter estimation for locating a dissolving dense nonaqueous phase liquid pool in groundwater, Water Resour. Res., 38(5), 1057, doi:10.1029/2000WR000134.
    • (2002) Water Resour. Res. , vol.38 , Issue.5 , pp. 1057
    • Sciortino, A.1    Harmon, T.C.2    Yeh, W.W.-G.3
  • 75
    • 84866642544 scopus 로고    scopus 로고
    • Comparing nonlinear regression and Markov chain Monte Carlo methods for assessment of predictive uncertainty in vadose zone modeling
    • doi:10.2136/vzj2011.0147, in press
    • Shi, X., M. Ye, S. Finsterle, and J. Wu (2012), Comparing nonlinear regression and Markov chain Monte Carlo methods for assessment of predictive uncertainty in vadose zone modeling, Vadose Zone J., doi:10.2136/vzj2011.0147, in press.
    • (2012) Vadose Zone J.
    • Shi, X.1    Ye, M.2    Finsterle, S.3    Wu, J.4
  • 76
    • 84868465808 scopus 로고    scopus 로고
    • A primer of frequentists and Bayesian inverence in inverse problems
    • L. Biegler et al., Wiley New York
    • Stark, P. B., and L. Tenorio (2011), A primer of frequentists and Bayesian inverence in inverse problems, in Large-scale Inverse Problems and Quantification of Uncertainty, edited by L. Biegler et al., pp. 9-32, Wiley, New York.
    • (2011) Large-scale Inverse Problems and Quantification of Uncertainty , pp. 9-32
    • Stark, P.B.1    Tenorio, L.2
  • 77
    • 69249091333 scopus 로고    scopus 로고
    • Sequential updating of multimodal hydrogeologic parameter fields using localization and clustering techniques
    • doi:10.1029/2008WR007443
    • Sun, A. Y., A. P. Morris, and S. Mohanty (2009), Sequential updating of multimodal hydrogeologic parameter fields using localization and clustering techniques, Water Resour. Res., 45, W07424, doi:10.1029/2008WR007443.
    • (2009) Water Resour. Res. , vol.45
    • Sun, A.Y.1    Morris, A.P.2    Mohanty, S.3
  • 78
    • 33846807795 scopus 로고    scopus 로고
    • Comparing sensitivity analysis methods to advance lumped watershed model identification and calibration
    • doi:10.5194/hess-11-793-2007
    • Tang, Y., P. Reed, T. Wagener, and K. van Werkhoven (2007), Comparing sensitivity analysis methods to advance lumped watershed model identification and calibration, Hydrol. Earth Syst. Sci., 11, 793-817, doi:10.5194/hess-11-793- 2007.
    • (2007) Hydrol. Earth Syst. Sci. , vol.11 , pp. 793-817
    • Tang, Y.1    Reed, P.2    Wagener, T.3    Van Werkhoven, K.4
  • 79
    • 18344415440 scopus 로고    scopus 로고
    • Methods for using groundwater model predictions to guide hydrogeologic data collection, with application to the death valley regional groundwater flow system
    • doi:10.1029/2001WR001255
    • Tiedeman, C. R., M. C. Hill, F. A. D'Agnese, and C. C. Faunt (2003), Methods for using groundwater model predictions to guide hydrogeologic data collection, with application to the Death Valley regional groundwater flow system, Water Resour. Res., 39(1), 1010, doi:10.1029/2001WR001255.
    • (2003) Water Resour. Res. , vol.39 , Issue.1 , pp. 1010
    • Tiedeman, C.R.1    Hill, M.C.2    D'Agnese, F.A.3    Faunt, C.C.4
  • 80
    • 12544249789 scopus 로고    scopus 로고
    • A method for evaluating the importance of system state observations to model predictions, with application to the death valley regional groundwater flow system
    • doi:10.1029/2004WR003313
    • Tiedeman, C. R., D. M. Ely, M. C. Hill, and G. M. O'Brien (2004), A method for evaluating the importance of system state observations to model predictions, with application to the Death Valley regional groundwater flow system, Water Resour. Res., 40, W12411, doi:10.1029/2004WR003313.
    • (2004) Water Resour. Res. , vol.40
    • Tiedeman, C.R.1    Ely, D.M.2    Hill, M.C.3    O'Brien, G.M.4
  • 81
    • 72249117077 scopus 로고    scopus 로고
    • OPR-PPR, a computer program for assessing data importance to model predictions using linear statistics
    • Tonkin, M., C. R. Tiedeman, D. M. Ely, and M. C. Hill (2007), OPR-PPR, a computer program for assessing data importance to model predictions using linear statistics, U. S. Geol. Surv. Tech. Methods, 6-E2, 115 pp. [Available at http://water.usgs.gov/software/OPR-PPR.html.]
    • (2007) U. S. Geol. Surv. Tech. Methods, 6-E2 , pp. 115
    • Tonkin, M.1    Tiedeman, C.R.2    Ely, D.M.3    Hill, M.C.4
  • 82
    • 0023524325 scopus 로고
    • Simultaneous confidence and prediction intervals for nonlinear regression models with application to a groundwater flow model
    • doi:10.1029/WR023i007p01237
    • Vecchia, A. V., and R. L. Cooley (1987), Simultaneous confidence and prediction intervals for nonlinear regression models with application to a groundwater flow model, Water Resour. Res., 23(7), 1237-1250, doi:10.1029/WR023i007p01237.
    • (1987) Water Resour. Res. , vol.23 , Issue.7 , pp. 1237-1250
    • Vecchia, A.V.1    Cooley, R.L.2
  • 83
    • 0036852121 scopus 로고    scopus 로고
    • Validity of first-order approximations to describe parameter uncertainty in soil hydraulic models
    • doi:10.2136/sssaj2002.1740
    • Vrugt, J. A., and W. Bouten (2002), Validity of first-order approximations to describe parameter uncertainty in soil hydraulic models, Soil Sci. Soc. Am. J., 66, 1740-1751, doi:10.2136/sssaj2002.1740.
    • (2002) Soil Sci. Soc. Am. J. , vol.66 , pp. 1740-1751
    • Vrugt, J.A.1    Bouten, W.2
  • 84
    • 57049099445 scopus 로고    scopus 로고
    • Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation
    • doi:10.1029/2007WR006720
    • Vrugt, J. A., C. J. F. ter Braak, M. P. Clark, J. M. Hyman, and B. A. Robinson (2008), Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation, Water Resour. Res., 44, W00B09, doi:10.1029/2007WR006720.
    • (2008) Water Resour. Res. , vol.44
    • Vrugt, J.A.1    Ter Braak, C.J.F.2    Clark, M.P.3    Hyman, J.M.4    Robinson, B.A.5
  • 85
    • 65349141143 scopus 로고    scopus 로고
    • Accelerating Markov Chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling
    • Vrugt, J. A., C. J. F. ter Braak, C. G. H. Diks, B. A. Robinson, J. M. Hyman, and D. Higdon (2009), Accelerating Markov Chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling, Int. J. Nonlinear Sci. Numer. Simul., 10(3), 271-288.
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , Issue.3 , pp. 271-288
    • Vrugt, J.A.1    Ter Braak, C.J.F.2    Diks, C.G.H.3    Robinson, B.A.4    Hyman, J.M.5    Higdon, D.6
  • 86
    • 67650292897 scopus 로고    scopus 로고
    • A Bayesian joint probability modeling approach for seasonal forecasting of streamflows at multiple sites
    • doi:10.1029/2008WR007355
    • Wang, Q. J., D. E. Robertson, and F. H. S. Chiew (2009), A Bayesian joint probability modeling approach for seasonal forecasting of streamflows at multiple sites, Water Resour. Res., 45, W05407, doi:10.1029/2008WR007355.
    • (2009) Water Resour. Res. , vol.45
    • Wang, Q.J.1    Robertson, D.E.2    Chiew, F.H.S.3
  • 87
    • 2942700220 scopus 로고    scopus 로고
    • Maximum likelihood Bayesian averaging of spatial variability models in unsaturated fractured tuff
    • doi:10.1029/2003WR002557
    • Ye, M., S. P. Neuman, and P. D. Meyer (2004), Maximum likelihood Bayesian averaging of spatial variability models in unsaturated fractured tuff, Water Resour. Res., 40, W05113, doi:10.1029/2003WR002557.
    • (2004) Water Resour. Res. , vol.40
    • Ye, M.1    Neuman, S.P.2    Meyer, P.D.3
  • 88
    • 0022823154 scopus 로고
    • Review of parameter identification procedures in groundwater hydrology: The inverse problem
    • doi:10.1029/WR022i002p00095
    • Yeh, W. W.-G. (1986), Review of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22(2), 95-108, doi:10.1029/WR022i002p00095.
    • (1986) Water Resour. Res. , vol.22 , Issue.2 , pp. 95-108
    • Yeh, W.W.-G.1
  • 89
    • 0019727195 scopus 로고
    • Aquifer parameter identification with optimum dimension in parameterization
    • doi:10.1029/WR017i003p00664
    • Yeh, W. W.-G., and Y. S. Yoon (1981), Aquifer parameter identification with optimum dimension in parameterization, Water Resour. Res., 17(3), 664-672, doi:10.1029/WR017i003p00664.
    • (1981) Water Resour. Res. , vol.17 , Issue.3 , pp. 664-672
    • Yeh, W.W.-G.1    Yoon, Y.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.