Bayesian approach for uncertainty quantification in water quality modelling: The influence of prior distribution

Journal of Hydrology

Volumn 392, Issue 1-2, 2010, Pages 31-39

  Freni, Gabriele ^a   Mannina, Giorgio ^b  

^a KORE UNIVERSITY OF ENNA   (Italy)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Bayesian approach; Prior knowledge; Uncertainty assessment; Urban stormwater quality modelling

Indexed keywords

ALTERNATIVE MANAGEMENT; BAYESIAN; BAYESIAN APPROACHES; GAINING INSIGHTS; METHODOLOGICAL ASPECTS; MODEL APPLICATION; MODEL PARAMETERS; PRIOR DISTRIBUTION; PRIOR KNOWLEDGE; QUALITY DATA; UNCERTAINTY ASSESSMENT; UNCERTAINTY ESTIMATION; UNCERTAINTY QUANTIFICATIONS; UNIFORM DISTRIBUTION; URBAN DRAINAGE; URBAN DRAINAGE MODELLING; URBAN STORMWATER; WATER QUALITY MODELLING;

BAYESIAN NETWORKS; CATCHMENTS; ESTIMATION; MATHEMATICAL MODELS; RELIABILITY ANALYSIS; STORM SEWERS; WATER POLLUTION; WATER QUALITY;

UNCERTAINTY ANALYSIS;

BAYESIAN ANALYSIS; CATCHMENT; DRAINAGE WATER; HYDROLOGICAL MODELING; NUMERICAL MODEL; STORMWATER; UNCERTAINTY ANALYSIS; URBAN DRAINAGE; WATER QUALITY;

EID: 77956613922     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2010.07.043     Document Type: Article

References (48)

1. APHA., 1995. Standard Methods for Examination of Water and Wastewater. APHA, AWWA and WPCF, Washington DC, USA.
2. Artina S., Maglionico M., Marinelli A., Raffaelli G., Anzalone C., Lanzarini S., Guzzinati E. Le misure di qualità nel bacino urbano Fossolo. L'acqua 1997, 2:17-25.
3. Ashley, R.M., Bertrand-Krajewski, J.-L., Hvitved-Jacobsen, T., Verbanck, M. (2004). Solids in Sewers:Characteristics, Effects and Control of Sewer Solids and Associated Pollutants. Scientific and Technical Report No. 14, IWA Publishing, London, UK.
4. Ashley R.M., Hvitved-Jacobsen T., Bertrand-Krajewski J.-L. Quo vadis sewer process modelling?. Water Science and Technology 1999, 39(9):9-22.
5. Bates B.C., Campbell E.P. A Markov chain Monte Carlo scheme for parameter estimation and inference in conceptual rainfall-runoff modeling. Water Resources Research 2001, 37(4):937-947.
6. Bayes T. An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London 1763, 53:370-418.
7. Beck M.B. Water quality modeling: a review of the analysis of uncertainty. Water Resources Research 1987, 23(8):1393-1442.
8. Benedetti L., Bixio D., Claeys F., Vanrolleghem P.A. Tools to support a model-based methodology for emission/immission and benefit/cost/risk analysis of wastewater systems that considers uncertainty. Environmental Modelling & Software 2008, 23:1082-1091.
9. Bertrand-Krajewski J.L., Barraud S., Bardin J.P. Uncertainties, performance indicators and decision aid applied to storm water facilities. Urban Water 2002, 4:163-179.
10. Beven K.J., Binley A.M. The future of distributed models - model calibration and uncertainty prediction. Hydrological Processes 1992, 6(3):279-298.
11. Box G.E.P., Cox D.R. An analysis of transformations revisited, rebutted. Journal of the American Statistical Association 1982, 77(377):209-210.
12. Chin D.A. Predictive uncertainty in water-quality modeling. Journal of Environmental Engineering 2009, 135(12):1315-1325.
13. Deletic, A., Dotto, C., Fletcher, T.D., McCarthy, D.T., Bertrand-Krajewski, JL., Rauch, W., Kleidorfer, M., Freni, G., Mannina, G., Tait, S., 2009. Defining uncertainties in modelling of urban drainage systems. In: Proc., 8th International Conference on Urban Drainage Modelling. Tokyo, 7-11 September 2009. Ed. Global Center of Excellence for Sustainable Urban Regeneration, Tokyo.
14. Freni G., Mannina G., Viviani G. Uncertainty in urban stormwater quality modelling: the effect of acceptability threshold in the GLUE methodology. Water Research 2008, 42(8-9):2061-2072.
15. Freni G., Mannina G., Viviani G. Urban runoff modelling uncertainty: comparison among Bayesian and pseudo-Bayesian methods. Environmental Modelling Software 2009, 24:54-62.
16. Freni, Mannina G., Viviani G. Assessment of data availability influence on integrated urban drainage modelling uncertainty. Environmental Modelling Software 2009, 24(10):1171-1181.
17. Gallagher M.R., Doherty J. Parameter interdependence and uncertainty induced by lumping in a hydrologic model. Water Resources Research 2007, 43(5):W05421.
18. Harremoës P. Stochastic models for estimation of extreme pollution from urban runoff. Water Resources 1988, 22(8):1017-1026.
19. Harremoës P., Madsen H. Fiction and reality in the modelling world-balance between simplicity and complexity, calibration and identifiability, verification and falsification. Water Science and Technology 1999, 39(9):1-8.
20. Iman R.L., Helton J.C., Campbell J.E. An approach to sensitivity analysis of computer models, Part 1. Introduction, input variable selection and preliminary variable assessment. Journal of Quality Technology 1981, 13(3):174-183.
21. Jaynes E.T. Prior PROBABILITIES. IEEE Transactions on Systems Science and Cybernetics 1968, 4(3):227-241.
22. Kanso A., Chebbo G., Tassin B. Application of MCMC-GSA model calibration method to urban runoff quality modelling. Journal of Reliability Engineering & System Safety 2004, 32(3):56-68.
23. Kanso A., Chebbo G., Tassin B. Bayesian analysis for erosion modelling of sediments in combined sewer systems. Water Science and Technology 2005, 52(5):135-142.
24. Kavetski D., Kuczera G., Franks S.W. Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory. Water Resources Research 2006, 42(3):W03407.
25. Kavetski D., Kuczera G., Franks S.W. Bayesian analysis of input uncertainty in hydrological modeling: 2. Application. Water Resources Research 2006, 42(3):W03408.
26. Kottegoda N.T., Rosso R. Applied Statistics for Civil and Environmental Engineers 2008, Wiley & Sons Ltd., New York.
27. Krysanova V., Hattermann F., Wechsung F. Implications of complexity and uncertainty for integrated modelling and impact assessment in river basins. Environmental Modelling Software 2007, 22(5):701-709.
28. Kuczera G., Parent E. Monte Carlo assessment of parameter uncertainty in conceptual catchment models: the Metropolis algorithm. Journal of Hydrology 1998, 211:69-85.
29. Lindenschmidt K.-E., Fleischbein K., Baborowski M. Structural uncertainty in a river water quality modelling system. Ecological Modelling 2007, 204(3-4):289-300.
30. Mannina, G., 2005. Integrated Urban Drainage Modelling with Uncertainty for Stormwater Pollution Management. PhD thesis, Università di Catania, Italy.
31. Mannina, Freni G., Viviani G., Sægrov S., Hafskjold L.S. Integrated urban water modelling with uncertainty analysis. Water Science and Technology 2006, 54(6-7):379-386.
32. Mannina G., Viviani G. An urban drainage stormwater quality model: model development and uncertainty quantification. Journal of Hydrology 2010, 381(3-4):248-265.
33. Mantovan P., Todini E. Hydrological forecasting: incoherence of the GLUE methodology. Journal of Hydrology 2006, 330:368-381.
34. Parchure T.M., Mehta A.J. Erosion of soft cohesive sediment deposits. Journal of Hydrogen Energy 1985, 111(10):1308-1326.
35. Refsgaard, Nilsson B., Brown J., Klauer B., Moore R., Bech T., Vurro M., Blind M., Castilla G., Tsanis I., Biza P. Harmonised techniques and representative river basin data for assessment and use of uncertainty information in integrated water management. Environment Science Policy 2005, 8(3):267-277.
36. Reichert P. On the necessity of using imprecise probabilities for modelling environmental systems. Water Science and Technology 1997, 36(5):149-156.
37. Reichert P., Omlin M. On the usefulness of overparameterized ecological models. Ecological Modelling 1997, 95(2-3):289-299.
38. Ristenpart E. Sediment properties and their changes in sewer. Water Science and Technology 1995, 25(8):1-12.
39. Schaarup-Jensen, K., Johansen, C., Thorndahl, S., 2005. Uncertainties Related to Extreme Events Statistics of Sewer System Surcharge and Overflow. 10th ICUD, Copenhagen, Denmark, 21-26 August 2005.
40. Skipworth P.J., Tait S.J., Saul A.J. Erosion of beds in sewers: model development. Journal of Environment Engineering 1999, 125(6):566-573.
41. Thorndahl S., Willems P. Probabilistic modelling of overflow, surcharge and flooding in urban drainage using the first-order reliability method and parameterization of local rain series. Water Research 2008, 42(1-2):455-466.
42. Thorndahl S., Beven K.J., Jensen J.B., Schaarup-Jensen K. Event based uncertainty assessment in urban drainage modelling, applying the GLUE methodology. Journal of Hydrology 2008, 357(3-4):421-437.
43. Thyer M., Kuczera G., Wang Q.J. Quantifying parameter uncertainty in stochastic models using the Box-Cox transformation. Journal of Hydrology 2002, 265(1-4):246-257.
44. Willems, P., 2000. Probabilistic Immission Modelling for Receiving Surface Waters. Ph.D. Thesis. Faculty of Engineering, Katholieke Universiteit Leuven, Leuven, Belgium.
45. Willems P. Quantification and relative comparison of different types of uncertainties in sewer water quality modeling. Water Research 2008, 42(13):3539-3551.
46. Willems P. Parsimonious model for combined sewer overflow pollution. Journal of Environmental Engineering 2009, 136(3):316-325.
47. Willems P., Berlamont J. Probabilistic emission and immission modelling: case-study of the combined sewer-WWTP-receiving water system at Dessel (Belgium). Water Science and Technology 2002, 45(3):117-124.
48. Yang J., Reichert P., Abbaspour K.C., Xia J., Yang H. Comparing uncertainty analysis techniques for a SWAT application to the Chaohe Basin in China. Journal of Hydrology 2008, 358(1-2):1-23.