Regional flood frequency analysis in eastern Australia: Bayesian GLS regression-based methods within fixed region and ROI framework - Quantile Regression vs. Parameter Regression Technique

Journal of Hydrology

Volumn 430-431, Issue , 2012, Pages 142-161

  Haddad, Khaled ^a   Rahman, Ataur ^a  

^a UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Bayesian method; Generalised Least Squares Regression; Parameter Regression; Quantile Regression; Region of influence approach; Regional flood frequency analysis

Indexed keywords

BAYESIAN METHODS; LEAST SQUARES REGRESSION; PARAMETER REGRESSION; QUANTILE REGRESSION; REGION OF INFLUENCES; REGIONAL FLOOD FREQUENCY ANALYSIS;

BAYESIAN NETWORKS; CATCHMENTS; DATABASE SYSTEMS; FLOOD CONTROL; LEAST SQUARES APPROXIMATIONS; RUNOFF;

REGRESSION ANALYSIS;

BAYESIAN ANALYSIS; CATCHMENT; DATABASE; ERROR ANALYSIS; FLOOD FREQUENCY; HYDROLOGICAL MODELING; LEAST SQUARES METHOD; OPTIMIZATION; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; REGRESSION ANALYSIS; UNCERTAINTY ANALYSIS;

AUSTRALIA;

EID: 84858285525     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2012.02.012     Document Type: Article

References (57)

1. Bates B.C., Rahman A., Mein R.G., Weinmann P.E. Climatic and physical factors that influence the homogeneity of regional floods in south-eastern Australia. Water Resour. Res. 1998, 34(12):3369-3382.
2. Burn D.H. An appraisal of the "region of influence" approach to flood frequency analysis. Hydrol. Sci. J. 1990, 35(2):149-165.
3. Burn D.H. Evaluation of regional flood frequency analysis with a region of influence approach. Water Resour. Res. 1990, 26(10):2257-2265.
4. Burn D.H., Zrinji Z., Kovvalchuk M. Regionalisation of catchments for regional flood frequency analysis. J. Hydrol. Eng. 1997, 2(2):76-82.
5. Castellarin A., Burn D.H., Braith A. Homogeneity testing: how homogenous do heterogeneous cross-correlated regions seem. J. Hydrol. 2008, 360(1-4):67-96.
6. Chebana F., Ouarda T.B.M.J. Depth and homogeneity in regional flood frequency analysis. Water Resour. Res. 2008, 44(11):W11422. 10.1029/2007WR006771.
7. Chokmani K., Ourada T. Physiographical space-based kriging for regional flood frequency estimation at ungauged sites. Water Resour. Res. 2004, 40(12). (art. No. W12514).
8. Chowdhury J.U., Stedinger J.R., Lu L.-H. Goodness of fit tests for regional flood distributions. Water Resour. Res. 1991, 27(7):1765-1776.
9. Cunderlik J.M., Burn D.H. Site-focused nonparameteric test of regional homogeneity based on flood regime. J. Hydrol. 2006, 318(1-4):276-291.
10. Dalrymple T. Flood Frequency Analysis, Water Supply Paper 1543-A 1960, US Geological Survey, Reston, VA.
11. Eng K., Tasker G.D., Milly P.C.D. An analysis of region-of-influence methods for flood frequency regionalisation in the gulf-atlantic rolling plains. J. Am. Water Resour. Assoc. 2005, 41(1):135-143.
12. Eng K., Milly P.C.D., Tasker G.D. Flood regionalization: a hybrid geographic and predictor-variable region-of-influence regression method. J. Hydrol. Eng. 2007, 12(6):585-591.
13. Eng, K., Stedinger, J.R., Gruber, A.M., 2007b. Regionalisation of streamflow characteristics for the gulf-atlantic rolling plains using leverage-guided region-of-influence regression. In: EWRI World Water & Environmental Resources Congress, American Society of Civil Engineers, 2007.
14. Fill H.D., Stedinger J.R. Homogeneity tests based upon Gumbel distribution and a critical appraisal of Dalrymple's test. J. Hydrol. 1995, 166(1-2):81-105.
15. Gaume, E., Gaál, L., Viglione, A., Szolgay, J., Kohnová, S., Blöschl., G., in press. Bayesian MCMC approach to regional flood frequency analyses involving extraordinary flood events at ungauged sites. J. Hydrol. doi:10.1016/j.jhydrol.2010.01.008.
16. Griffis V.W., Stedinger J.R. The use of GLS regression in regional hydrologic analyses. J. Hydrol. 2007, 204:82-95.
17. Grubbs F.E., Beck G. Extension of sample sizes and percentage points for significance tests of outlying observations. Technometrics 1972, 4(14):847-853.
18. Gruber, A.M., Reis Jr., D.S., Stedinger, J.R., 2007. Models of regional skew based on Bayesian GLS regression. In: World Environmental & Water Resources Conference, Tampa, Florida, May 15-18, 2007.
19. Gruber, A.M., Stedinger, J.R., 2008. Models of LP3 regional skew, data selection, and Bayesian GLS regression. In: EWRI World Water & Environmental Resources Congress, American Society of Civil Engineers, Honolulu, HI, May 13-16, 2008.
20. Hackelbusch, A., Micevski, M., Kuczera., G, Rahman, A., Haddad, K., 2009. Regional flood frequency analysis for eastern NSW: a region of influence approach using generalised least squares log-Pearson 3 parameter regression. In: 32nd Hydrology and Water Resources Symposium, Newcastle, 30th November to 3rd December 2009.
21. Haddad, K., Pirozzi, J., McPherson, G., Rahman, A., Kuczera, G., 2009. Regional flood estimation technique for NSW: application of generalised least squares quantile regression technique. In: 32nd Hydrology and Water Resources Symposium, 30 November to 3 December, Newcastle, Australia, pp. 829-840.
22. Haddad K., Zaman M., Rahman A. Regionalisation of skew for flood frequency analysis: a case study for eastern NSW. Aust. J. Water Resour. 2010, 14(1):33-41.
23. Haddad K., Rahman A., Weinmann P.E., Kuczera G., Ball J.E. Streamflow data preparation for regional flood frequency analysis: lessons from south-east Australia. Aust. J. Water Resour. 2010, 14(1):17-32.
24. Haddad K., Rahman A., Green J. Design rainfall estimation in Australia: a case study using L moments and generalised least squares regression. Stoch. Environ. Res. Risk Assess. 2011, 25(6):815-825. 10.1007/s00477-010-0443-7.
25. Hosking J.R.M., Wallis J.R. Some statistics useful in regional frequency analysis. Water Resour. Res. 1993, 29(2):271-281.
26. Institution of Engineers Australia (I. E. Aust.) 1987, 2001. In: Pilgrim, D.H. (Ed.), Australian Rainfall and Runoff: A Guide to Flood Estimation, vol. 1, I. E. Aust., Canberra.
27. Interagency Advisory Committee on Water Data (IAWCD), 1982. Guidelines for Determining Flood Flow Frequency: Bulletin17-B (Revised and Corrected). Hydrol. Subcomm., Washington, DC, March 1982, p. 28.
28. Ishak E., Haddad K., Zaman M., Rahman A. Scaling property of regional floods in New South Wales Australia. Nat. Haz. J. 2011, 10.1007/s11069-011-9719-6.
29. Kuczera G. Effect of sampling uncertainty and spatial correlation on an empirical Bayes procedure for combining site and regional information. J. Hydrol. 1983, 65:373-398.
30. Kuczera G. Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference. Water Resour. Res. 1999, 35(5):1551-1557.
31. Lu L.-H., Stedinger J.R. Sampling variance of normalized GEV/PWM quantile estimators and a regional homogeneity test. J. Hydrol. 1992, 138(1-2):223-245.
32. Madsen H., Rosbjerg D. Generalised least squares and empirical Bayes estimation in regional partial duration series index-flood modelling. Water Resour. Res. 1997, 33(4):771-782.
33. Madsen H., Mikkelsen P.S., Rosbjerg D., Harremoes P. Regional estimation of rainfall intensity duration curves using generalised least squares regression of partial duration series statistics. Water Resour. Res. 2002, 38(11):1-11.
34. Merz R., Blöschl G. Flood frequency regionalisation-spatial proximity vs. catchment attributes. J. Hydrol. 2005, 302:283-306.
35. Micevski T., Kuczera G. Combining site and regional flood information using a Bayesian Monte Carlo approach. Water Resour. Res. 2009, 45:W04405. 10.1029/2008WR007173.
36. Nezhad M.K., Chokmani K., Ouarda T.B.M.J., Barbet M., Bruneau P. Regional flood frequency analysis using residual kriging in physiographical space. Hydrol. Process. 2010, 24:2045-2055. 10.1002/hyp. 7631.
37. Ouarda T.B.M.J., Girard C., Cavadias G.S., Bobée B. Regional flood frequency estimation with canonical correlation analysis. J. Hydrol. 2001, 254:157-173.
38. Pandey G.R., Nguyen V.T.V. A comparative study of regression based methods in regional flood frequency analysis. J. Hydrol. 1999, 225:92-101.
39. Rahman A. A quantile regression technique to estimate design floods for ungauged catchments in south-east Australia. Aust. J. Water Resour. 2005, 9(1):81-89.
40. Rahman A., Bates B.C., Mein R.G., Weinmann P.E. Regional flood frequency analysis for ungauged basins in south-eastern Australia. Aust. J. Water Resour. 1999, 3(2):199-207.
41. Rahman, A., Haddad, K., Kuczera, G. and Weinmann, P.E., 2009. Regional Flood Methods for Australia: Data Preparation and Exploratory Analysis. Australian Rainfall and Runoff Revision Projects, Project 5 Regional Flood Methods, Stage I Report No. P5/S1/003, Nov 2009, Engineers Australia, Water Engineering, 181pp.
42. Reis D.S., Stedinger J.R., Martins E.S. Bayesian GLS regression with application to LP3 regional skew estimation. Water Resour. Res. 2005, 41:W10419. 10.1029/2004WR00344.
43. Rosbjerg D., Madsen H. Uncertainty measures of regional flood frequency analysis estimators. J. Hydrol. 1994, 167:209-224.
44. Stedinger J.R., Lu L.H. Appraisal of regional and index flood quantiles estimators. Stoch. Hydrol. Hydraul. 1995, 9(1):49-75.
45. Stedinger J.R., Tasker G.D. Regional hydrologic analysis, 1. Ordinary, weighted, and generalised least squares compared. Water Resour. Res. 1985, 21(9):1421-1432.
46. Stedinger J.R., Tasker G.D. Regional hydrologic analysis, 2. Model error estimators, estimation of sigma and log - Pearson type 3 distributions. Water Resour. Res. 1986, 22(10):1487-1499.
47. Stedinger J.R., Tasker G.D. Correction to regional hydrologic analysis, 1. Ordinary, weighted, and generalised least squares compared. Water Resour. Res. 1986, 22(5):844.
48. Stedinger, J.R., Vogel, R.M., Foufoula-Georgiou, E., 1993. Frequency analysis of extreme events. In: Handbook of Hydrology, McGraw Hill Book Co., NY, pp. 18.1-18.66 (chapter 18).
49. Tasker G.D., Stedinger J.R. An operational GLS model for hydrologic regression. J. Hydrol. 1989, 111:361-375.
50. Tasker G.D., Eychaner J.H., Stedinger J.R. Application of generalised least squares in regional hydrologic regression analysis. US Geol. Surv. Water Supply Paper 1986, 2310:107-115.
51. Tasker G.D., Hodge S.A., Barks C.S. Region of Influence regression for estimating the 50-year flood at ungauged sites. Water Resour. Bull. 1996, 32(1):163-170.
52. Thomas D.M., Benson M.A. Generalization of streamflow characteristics from drainage basin characteristics. US Geol. Surv. Water Supply Paper 1970, 1975:55.
53. Wiltshire S.E. Identification of homogeneous regions for flood frequency analysis. J. Hydrol. 1986, 84(3-4):287-302.
54. Wiltshire S.E. Regional flood frequency analysis I: homogeneity statistics. Hydrol. Sci. J. 1986, 31(3):321-333.
55. Zellner A. An Introduction to Bayesian Inference in Econometrics 1971, John Wiley and Sons, Inc., New York.
56. Zrinji Z., Burn D.H. Flood Frequency analysis for ungauged sites using a region of influence approach. J. Hydrol. 1994, 153(1-4):1-21.
57. Zrinji Z., Burn D.H. Regional flood frequency with hierarchical region of influence. J. Water Resour. Plan. Manage. 1996, 122(4):245-252.