Hydrologic drought prediction under climate change: Uncertainty modeling with Dempster-Shafer and Bayesian approaches

Advances in Water Resources

Volumn 33, Issue 9, 2010, Pages 1176-1186

  Raje, Deepashree ^a   Mujumdar, P P ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Bayesian; Dempster Shafer; Downscaling; Drought; Streamflow; Uncertainty

Indexed keywords

BASIC PROBABILITY ASSIGNMENT; BAYESIAN; BAYESIAN APPROACHES; BELIEF AND PLAUSIBILITY; CLIMATE CHANGE IMPACT; CONDITIONAL RANDOM FIELD; DEMPSTER-SHAFER; DEMPSTER-SHAFER EVIDENCE THEORY; DOWN-SCALING; DOWNSCALING METHODS; DS THEORY; EVIDENCE COMBINATION RULE; GENERAL CIRCULATION MODEL; HYDROLOGIC IMPACTS; INFORMATION SYNTHESIS; MODELING APPROACH; POSTERIOR DISTRIBUTIONS; PROBABILISTIC APPROACHES; QUANTITATIVE MEASUREMENT; REGIONAL CLIMATE CHANGES; SOURCES OF UNCERTAINTY; STOCHASTIC UNCERTAINTIES; SUBJECTIVE UNCERTAINTY; UNCERTAINTY; UNCERTAINTY AND IGNORANCE; UNCERTAINTY MEASURES; UNCERTAINTY MODELING; UNCERTAINTY QUANTIFICATIONS; WET CONDITIONS;

ATMOSPHERIC THERMODYNAMICS; BAYESIAN NETWORKS; CLIMATE MODELS; DROUGHT; STREAM FLOW; UNCERTAINTY ANALYSIS;

CLIMATE CHANGE;

BAYESIAN ANALYSIS; CLIMATE CHANGE; CLIMATE EFFECT; DOWNSCALING; DROUGHT; GENERAL CIRCULATION MODEL; MONSOON; PREDICTION; STREAMFLOW; UNCERTAINTY ANALYSIS;

INDIA; MAHANADI RIVER; ORISSA;

EID: 77957018830     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2010.08.001     Document Type: Article

References (47)

1. Booij M.J., Huisjes M., Hoekstra A.Y. Uncertainty in climate change impacts on low flows. IAHS-AISH Publ. 2006, 308:401-406.
2. Braun J. Sensor fusion: architectures, algorithms, and applications IV. Proceedings of SPIE 2000, Vol. 4051:255-266. SPIE Society of Photo-Optical Instrumentation Engineering, Orlando, FL.
3. Buytaert W., Celleri R., Timbe L. Predicting climate change impacts on water resources in the tropical Andes: effects of GCM uncertainty. Geophys Res Lett 2009, 36(7):L07406.
4. Caselton W.F., Luo W. Decision making with imprecise probabilities: Dempster-Shafer theory and application. Water Resour Res 1992, 28(12):3071-3083.
5. Cubasch U., Meehl G.A., Boer G.J., Stouffer R.J., Dix M., Noda A., Senior C.A., Raper S.C.B., Yap K.S. Projections of future climate change. Climate Change 2001: the Scientific Basis. Contribution ofWorking Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change 2001, 525-582. Cambridge University Press. J.T. Houghton, Y. Ding, D.J. Griggs, M. Noguer, P. van der Linden, X. Dai, K. Maskell, C.I. Johnson (Eds.).
6. Dempster A.P. Upper and lower probabilities induced by a multivalued mapping. Ann Stat 1967, 28:325-339.
7. Dubois D., Prade H. Possibility Theory 1988, Plenum Press, New York.
8. Dubois D., Prade H. On the Combination of Evidence in Various Mathematical Frameworks, Reliability Data Collection and Analysis 1992, 213-241. ECSC, EEC, EAFC, Brussels.
9. Ferson S., Kreinovich V., Ginzburg L., Myers D.S., Sentz K. Constructing probability boxes and Dempster-Shafer structures. Sandia National Laboratories 2002-0835 2002.
10. Forest C.E., Stone P.H., Sokolov A.P., Allen M.R., Webster M.D. Quantifying uncertainties in climate system properties with the use of recent climate observations. Science 2002, 295:113-117.
11. Ghosh S., Mujumdar P.P. Nonparametric methods for modeling GCM and scenario uncertainty in drought assessment. Water Resour Res 2007, 43:W07405. 10.1029/2006WR005351.
12. Ghosh S., Mujumdar P.P. Climate change impact assessment: uncertainty modeling with imprecise probability. J Geophys Res 2009, 114:D18113. 10.1029/2008JD011648.
13. Greene A.M., Goddard L., Lall U. Probabilistic multimodel regional temperature change projections. J Climate 2006, 19(17):4326-4343.
14. Helton J.C. Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty. J Stat Comput Simul 1997, 57:3-76.
15. Kalnay E., Kanamitsu M., Kistler R., Collins W., Deaven D., Gandin L., et al. The NCEP/NCAR 40-year reanalysis project. Bullet. Amer. Meteorol. Soc 1996, 77(3):437-471.
16. Katz R.W. Techniques for estimating uncertainty in climate change scenarios and impact studies. Climate Res 2002, 20:167-185.
17. Kay A.L., Davies H.N., Bell V.A., Jones R.G. Comparison of uncertainty sources for climate change impacts: flood frequency in England. Climate Change 2009, 92(1-2):41-63.
18. Klir G., Yuan B. Fuzzy Sets and Fuzzy Logic: Theory and Applications 1995, Prentice Hall, New Jersey.
19. Kuznetsov V.P. Interval Statistical Models 1991, Radio i Svyaz Publ, Moscow, (in Russian).
20. Luo W.B., Caselton B. Using Dempster-Shafer theory to represent climate change uncertainties. J Environ Manage 1997, 49:73-93.
21. McKee T.B., Doesken N.J., Kleist J. The relationship of drought frequency and duration to time scale. Proceedings of the Eighth Conference on Applied Climatology 1993, 179-184. American Meteorological Society.
22. McMahon T.A., Vogel R.M., Peel M.C., Pegram G.S. Global streamflows-Part 1: characteristics of annual streamflows. J Hydrol 2007, 347:243-259.
23. Minville M., Brissette F., Leconte R. Uncertainty of the impact of climate change on the hydrology of a Nordic watershed. J Hydrol 2008, 358:70-83.
24. Morgan M.G., Keith D.W. Subjective judgments by climate experts. Environ Sci Technol 1995, 29:468-479.
25. Mujumdar P.P., Ghosh S. Modeling GCM and scenario uncertainty using a possibilistic approach: application to the Mahanadi River India. Water Resour Res 2008, 44:W06407. 10.1029/2007WR006137.
26. New M., Hulme M. Representing uncertainty in climate change scenarios: a Monte Carlo approach. Int Assess 2000, 1:203-213.
27. Parthasarathy B., Munot A.A., Kothawale D.R. Monthly and Seasonal Rainfall Series for All India Homogeneous Regions and Meteorological Subdivisions:1871-1994. RR-065 1995, Indian Institute of Tropical Meteorology, Pune.
28. Prudhomme C., Davies H. Assessing uncertainties in climate change impacts analyses on the river flow regimes in the UK. Part 2: future climate. Clim Change 2009, 93:197-222.
29. Prudhomme C., Jakob D., Svensson C. Uncertainty and climate change impact on the flood regime of small UK catchments. J Hydrol 2003, 277:1-23.
30. Raje D., Mujumdar P.P. A conditional random field based downscaling method for assessment of climate change impact on multisite daily precipitation in the Mahanadi basin. Water Resour Res 2009, 45(10):W10404. 10.1029/2008WR007487.
31. Raje D., Mujumdar P.P. Constraining uncertainty in regional hydrologic impacts of climate change: nonstationarity in downscaling. Water Resour Res 2010, 46:W07543. 10.1029/2009WR008425.
32. Reilly J, Stone PH, Forest CE, Webster MD, Jacoby HD and RG Prinn, Uncertainty in Climate Change Assessments, Science 293 (5529), 430a., 2001: 430-433.
33. Rowell D.P. A demonstration of the uncertainty in projections of UK climate change resulting from regional model formulation. Clim Change 2006, 79:243-257.
34. Sentz K., Ferson S. Combination of evidence in Dempster-Shafer theory. Sandia National Laboratories 2002-4015 2002.
35. Shafer G. A Mathematical Theory of Evidence 1976, Princeton University Press, Princeton.
36. Smets P. The normative representation of quantified beliefs by belief functions. Artif Intell 1997, 92:229-242.
37. Sutton C., McCallum A. An introduction to conditional random fields for relational learning. Introduction to Statistical Relational Learning 2006, 1-35. MIT Press, Cambridge, MA.
38. Tebaldi C., Mearns L.O., Nychka D., Smith R.L. Regional probabilities of precipitation change: a Bayesian analysis of multimodel simulations. Geophys Res Lett 2004, 31. 10.1029/2004GL021276.
39. Tebaldi C., Smith R., Nychka D., Mearns L.O. Quantifying uncertainty in projections of regional climate change: a Bayesian approach to the analysis of multi-model ensembles. J Climate 2005, 18:1524-1540.
40. Vogel R.M., Wilson I. Probability distribution of annual maximum mean and minimum streamflows in the United States. J Hydrol Eng 1996, 1(2):69-76.
41. Walley P. Statistical Reasoning with Imprecise Probabilities 1991, Chapman and Hall, London.
42. Webster M. Communicating climate change uncertainty to policy-makers and the public. Clim Change 2003, 61:1-8.
43. Wilby R.L. Uncertainty in water resource model parameters used for climate change impact assessment. Hydrol Process 2005, 19(16):3201-3219.
44. Wilby R.L., Harris I. A framework for assessing uncertainties in climate change impacts: low-flow scenarios for the River Thames, UK. Water Resour Res 2006, 42:W02419. 10.1029/2005WR004065.
45. Yager R.R. On the Dempster-Shafer framework and new combination rules. Inf Sci 1987, 41:93-137.
46. Zadeh L.A. Fuzzy sets. Inf Control 1965, 8:338-353.
47. Zhang L. Representation, independence, and combination of evidence in the Dempster-Shafer theory. Advances in the Dempster-Shafer Theory of Evidence 1994, 51-69. John Wiley & Sons, Inc, New York.