A review of hydrological uncertainty analysis based on Bayesian theory

Shuikexue Jinzhan/Advances in Water Science

Volumn 21, Issue 2, 2010, Pages 274-281

  Liang, Zhong Min ^a   Dai, Rong ^b   Li, Bin Quan ^a  

^a HOHAI UNIVERSITY   (China)

^b Northwest Hydro Consulting Engineers   (China)

Author keywords

Bayesian theory; Flood forecasting; Hydrological frequency analysis; Uncertainty analysis

Indexed keywords

BAYESIAN THEORY; FLOOD FORECASTING; FREQUENCY ANALYSIS; HUMAN ACTIVITIES; HYDROLOGICAL FREQUENCY ANALYSIS; HYDROLOGICAL MODELING; HYDROLOGICAL PROCESS; HYDROLOGICAL SYSTEM; NATURAL CONDITIONS; RECENT PROGRESS; STOCHASTIC METHODS;

BAYESIAN NETWORKS; FLOOD CONTROL; FLOODS; STOCHASTIC SYSTEMS; WEATHER FORECASTING;

UNCERTAINTY ANALYSIS;

EID: 77952511180     PISSN: 10016791     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (43)

1. BENJAMIN J R, CORNELL C A. Probability, statistics and decision for civil engineers[M]. New York: McGraw-Hill, 1970.
2. WOOD E F, RODRIGUEZ-ITURBE I. Bayesian inference and decision making for extreme hydrologic events[J]. Water Resources Research, 1975, 11(4): 533-542.
3. YE Shou-ze, XIA Jun. Century's retrospect and looking into the future of hydrological science[J]. Advances in Water Science, 2002, 13(1): 93-104. (in Chinese)
4. CHENG Ping, CHEN Xi-ru, CHEN Gui-jing, et al. Parameter estimation[M]. Shanghai: Shanghai Science and Technology Press, 1985. (in Chinese)
5. WOOD E F, RODRIGUEZ-ITURBE I. A Bayesian approach to analyzing uncertainty among flood frequency models[J]. Water Resources Research, 1975, 11(6): 839-843.
6. KUCGERA G. Combining site-specific and regional information: An empirical Bayes approach[J]. Water Resources Research, 1982, 18(2): 306-314.
7. TANG W H. Bayesian frequency analysis[J]. Journal of the Hydraulics Division, 1980(106): 1203-1218.
8. VAN GELDER P H A J M, VAN NOORTWIJK J M, DUITS M T. Selection of probability distribution with a case study on extreme odder river discharges[C]//SCHUËLLER G I, KAFKA P. Safety and Reliability. Rotterdam: Balkema, 1999, 1475-1480.
9. GEORGE KUCZERA. Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference[J]. Water Resources Research, 1999, 35(5): 1551-1557.
10. LIU Pan, GUO Sheng-lian, TIAN Xiang-rong, et al. Selecting and averaging of flood frequency models based on Bayesian theory[J]. Engineering Journal of Wuhan University, 2005, 38(5): 36-40. (in Chinese)
11. ZHAO Ren-jun. Watershed Hydrological Modeling[M]. Beijing: China WaterPower Press, 1984. 109-118(in Chinese)
12. NASH J E. A unit hydrograph-with particular reference to British catchments[J]. The Institution of Civil Engineering Proceedings, 1960, 17: 249-280.
13. CRAWFORD N H, LINSLEY R K. Digital simulation in hydrology, Stanford Watershed Model IV. Technical Report 39[R]. Stanford: Department of Civil Engineering, Stanford University, 1966.
14. DUAN Q, SOROOSHIAN, GUPA V K. Effective and efficient global optimization for conceptual rainfall-runoff models[J]. Water Resources Research, 1992, 28(4): 265-284.
15. XIA Jun. An approach to the method of nonlinear hydrologic system identification[J]. Journal of Hydraulic Engineering, 1982(1): 1-9. (in Chinese)
16. GE Shou-xi. Modern hydrological forecasting technique[M]. Beijing: China WaterPower Press, 1999: 57-61. (in Chinese)
17. BEVEN K J, BINLEY A M. The future of distributed models: Model calibration and uncertainty prediction[J]. Hydrological Processes, 1992, 6(3): 279-298.
18. MO Xing-guo, LIU Su-xia. GLUE method and its application to analyze hydrological uncertainty[C]//XIA Jun. Advances in complexity and uncertainty of water problem. Beijing: China WaterPower Press, 2004: 143-150. (in Chinese)
19. XIONG Li-hua, GUO Sheng-lian. Study on the equifinality of Xinanjiang model[C]//XIA Jun. Advances in complexity and uncertainty of water problem. Beijing: China WaterPower Press, 2004: 151-155. (in Chinese)
20. LI Sheng, LIANG Zhong-min. Study on GLUE method applied to analyzing uncertainty of Xinanjiang model parameter[J]. Water Resources & Hydropower of Northeast China, 2006, 24(2): 31-47. (in Chinese)
21. KUCZERA G, PARENT E. Monte Carlo assessment of parameter uncertainty in conceptual catchment models: Metropolis algorithm[J]. Journal of Hydrology, 1998, 211: 69-85.
22. LI Xiang-yang. Study on parameter calibration and uncertainty assessment of hydrologic model[D]. Dalian: Dalian University of Technology, 2005. (in Chinese)
23. LIANG Zhong-min, DAI Rong, QI Jing. Model parameter uncertainty analysis and its influence on forecasting based on MCMC[C]//REN Li-liang. Environmental change and water safety. Beijing: China WaterPower Press. 2006: 113-117. (in Chinese)
24. KRZYSZTOFOWICZ R. Bayesian theory of probabilistic forecasting via deterministic hydrologic model[J]. Water Resources Research, 1999, 35(9): 2739-2750.
25. KRZYSZTOFOWICZ R. Bayesian system for probabilistic river stage forecasting[J]. Journal of Hydrology, 2004, 268: 16-40.
26. KRZYSZTOFOWICZ R, MARANZANO C J. Bayesian system for probabilistic stage transition forecasting[J]. Journal of Hydrology, 2004, 269: 15-44.
27. KAVETSKI D, KUCZERA G, FRANKS S W. Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory[J]. Water Resources Research, 2006, 42: W03407.
28. AJAMI N K, DUAN Qing-yun, SOROOSHIAN S. An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction[J]. Water Resources Research, 2007, 43: W01403, [Doi: 10.1029/2005WR004745].
29. WANG Shan-xu. Introduction to Bayesian forecasting system[J]. Journal of China Hydrology, 2001, 21(5): 33-34. (in Chinese)
30. ZHANG Hong-gang, GUO Sheng-lian, LIU Pan, et al. Probabilistic flood forecasting model based on Bayesian method[J]. Hydroelectric Energy, 2004, 22(1): 22-25. (in Chinese)
31. QIAN Ming-kai, XU Shi-jin, WANG Shan-xu, et al. Study on the probability flood forecasting model at Xixian gauging station of Huaihe River basin[J]. Journal of China Hydrology, 2004, 24(2): 23-25. (in Chinese)
32. LI Xiang-yang, CHENG Chun-tian, LIN Jian-yi. Bayesian probabilistic forecasting model based on BP ANN[J]. Journal of Hydraulic Engineering, 2006, 37(3): 354-359. (in Chinese)
33. XING Zhen-xiang. Study on Bayesian forecasting system of deterministic hydrologic models[D]. Nanjing: Hohai University. 2007. (in Chinese)
34. DUAN Q, AJAMI N K, GAO Xiao-gang, et al. Multi-model ensemble hydrologic prediction using Bayesian model averaging[J]. Advances in Water Resources, 2007, 30(5): 1371-1386.
35. MCLACHLAN G J, KRISHNAN T. The EM algorithm and extensions[M]. New York: Wiley, 1997.
36. DILKS D W, CANALE R P, MERIER P G. Development of Bayesian Monte Carlo techniques for water quality model modeling uncertainty[J]. Ecological Modeling, 1992, 62(1/2/3): 149-162.
37. PILLINO C A, WOODBERRY O, NICHOLSON A, et al. Bayesian networks in water resource modeling and management[J]. Environmental Modeling & Software, 2007, 22(8): 1140-1152.
38. WOODBURY A D, ULRYCH T J. A full-Bayesian approach to the groundwater inverse problem for steady state flow[J]. Water Resources Research, 2000, 36(8): 2081-2093.
39. PETROS GAGANIS, LESLIE SMITH. A Bayesian approach to the quantification of the effect of model error on the predictions of groundwater models[J]. Water Resources Research, 2001, 37(9): 2309-2322.
40. DING Jing, DENG Yu-ren. Coupling method of uncertainty analysis and calculation in hydrology and water resources[J]. Journal of China Hydrology, 1996(1): 19-21. (in Chinese)
41. HUANG Wei-jun, DING Jing. Hydrology and water resources system Bayesian analysis about state-of-the-art and prospect[J]. Advances in Water Science, 1994, 5(3): 242-246. (in Chinese)
42. XIE Ping, LI De, CHEN Guang-cai, et al. A lake eutrophication stochastic assessment method by using Bayesian formula and its verification[J]. Resources and Environment in the Yangtze Basin, 2005, 14(20): 224-228. (in Chinese)
43. WANG Jian-ping, CHENG Sheng-tong, JIA Hai-feng. Markov Chain Monte Carlo scheme for parameter uncertainty analysis in water quality model[J]. Environmental Science, 2006, 27(1): 24-30. (in Chinese)