Constrained scaling approach for design rainfall estimation

Stochastic Environmental Research and Risk Assessment

Volumn 23, Issue 6, 2009, Pages 697-705

  Xu, Yue Ping ^a   Tung, Yeou Koung ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Constrained regression analysis; Frequency analysis; Rainfall intensity (depth) duration frequency; Scale invariant property

Indexed keywords

CONSTRAINED REGRESSION; CONSTRAINED REGRESSION ANALYSIS; FINITE SAMPLES; FREQUENCY ANALYSIS; HONG-KONG; NUMERICAL INVESTIGATIONS; PHYSICAL REALITY; RAIN GAUGES; RAINFALL DATA; RAINFALL DEPTHS; RAINFALL DURATION; RAINFALL ESTIMATIONS; RAINFALL FREQUENCY ANALYSIS; RAINFALL INTENSITY; RAINFALL INTENSITY (DEPTH)-DURATION-FREQUENCY; SAMPLING ERRORS; SCALE-INVARIANT; SCALE-INVARIANT PROPERTY; SMALL SAMPLES;

GAGES; METAL ANALYSIS; METEOROLOGICAL INSTRUMENTS; RAIN GAGES; REGRESSION ANALYSIS; STATISTICS;

PRECIPITATION (METEOROLOGY);

FREQUENCY ANALYSIS; PRECIPITATION ASSESSMENT; PRECIPITATION INTENSITY; RAINFALL; RAINGAUGE;

ASIA; CHINA; EURASIA; FAR EAST; HONG KONG;

EID: 67649598774     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-008-0250-6     Document Type: Article

References (35)

1. Bougadis J, Adamowski K (2006) Scaling model of a rainfall intensity-duration-frequency relationship. Hydrol Process 20:3747-3757
2. Burlando P, Rosso R (1996) Scaling and multiscaling models of depth-duration-frequency curves for storm precipitation. J Hydrol 187:45-64
3. Chang WL, Hui TW (2001) Probable maximum precipitation for Hong Kong. ATC3 Workshop on rain-induced landslides, Hong Kong, 12 December 2001
4. Cheng KS, Hueter I, Hsu EC, Yeh HC (2001) A scale-invariant Gauss-Markov model for design storm hyetographs. J Am Water Res Assoc 37(3):723-736
5. Chow VT, Maidment DR, Mays LW (1988) Handbook of applied hydrology. McGraw Hill, New York
6. Deidda R (2000) Rainfall downscaling in a space-time multifractal framework. Water Resour Res 36(7):1779-1794
7. Douglas EM, Barros PA (2003) Probable maximum precipitation estimation using multifractals: Application in the Eastern United States. J Hydrometeorol 4:1012-1024
8. Drainage Services Department (DSD) (1994) Stormwater drainage manual - planning design and management. Drainage Services Department, Government of the Hong Kong Special Administrative Region, Hong Kong
9. Gupta VK, Waymire E (1990) Multiscaling properties of spatial rainfall and river flow distributions. J Geophys Res 95(D3):1999-2009
10. Hosking JRM, Wallis JR (1997) Regional frequency analysis - an approach based on L-moments. Cambridge University Press, London
11. Hurbert P, Tchiguirinskaia I, Schertzer D (2007) Predetermination of floods. In: Vasiliev et al (eds) Extreme hydNological events: new concepts for security, pp 185-198
12. Klemes V (1993) Probability of extreme hydro meteorological events - a different approach. In: Kundzewicz ZW, Rosbjerg D, Simonovic SP, Takeuchi K (eds) Extreme hydrological events: Precipitation, floods and droughts, IAHS Publ. No. 213, pp 167-176
13. Koutsoyiannis D (1999) A probabilistic view of Hershfield's method for estimating probable maximum precipitation. Water Resour Res 35(4):1313-1322
14. Lavallée D, Schertzer D, Lovejoy S (1991) On the determination of the codimension function. In: Schertzer S, Lovejoy S (eds) Non-linear variability in Geophysics. Kluwer Academic Publishers, Drecht, pp 99-109
15. Lovejoy S, Schertzer D (1990) Multifractals, universality classes and satellite and radar measurements of cloud and rain fields. J Geophys Res 95(D3):2021-2034
16. Maidment DR (1993) Handbook of hydrology. McGraw-Hill, New York
17. Menabde M, Seed A, Harris D, Austin G (1997) Self-similar random fields and rainfall simulation. J Geophys Res D102(12):13509-13515
18. Michele CD, Kottegoda NT, Rosso R (2002) IDAF (intensity-duration-area frequency) curves of extreme storm rainfall: A scaling approach. Water Sci Technol 45(2):83-90
19. Olsson J, Niemczynowicz J (1996) Multifractal analysis of daily spatial rainfall distributions. J Hydrol 187:29-43
20. Pandey G, Lovejoy S, Schertzer D (1998) Multifractal analysis of daily river flows including extremes for basins of five to two million square kilometers, one day to 75 years. J Hydrol 208:62-81
21. Pathirana A, Herath S, Yamada T (2003) Estimating rainfall distributions at high temporal resolutions using a multifractal model. Hydrol Earth Syst Sc 7(5):668-679
22. Rao AR, Hamed KH (2000) Flood frequency analysis. CRC Press, New York
23. Ribeiro-Correa J, Rousselle J (1996) Robust simple scaling analysis of flood peaks series. Can J Civil Eng 23(6):1139-1145
24. Salvadori G, Schertzer D, Lovejoy S (2001) Multifractal objective analysis: Conditioning and interpolation. Stoch Environ Res Risk Assess 15:261-283
25. Singh VP, Strupczewski WG (2002) On the status of flood frequency analysis. Hydrol Process 16:3737-3740. doi: 10.1002/hyp. 5083
26. Sivakumar B (2001) Is a chaotic multi-fractal approach for rainfall possible? Hydrol Process 15:943-955
27. Sivakumar B, Sharma A (2008) A cascade approach to continuous rainfall data generation at point locations. Stoch Environ Res Risk Assess 22:451-459
28. Swain RE, Bowles D, Ostenaa D (1998) A framework for characterization of extreme floods for dam safety risk assessments. In: Proceedings of the 1998 USCOLD Annual Lecture, Buffalo, New York
29. Tchiguirinskaia I, Lu S, Molz FJ, Williams TM, Lavallee D (2000) Multifractal versus monofractal analysis of wetland topography. Stoch Environ Res Risk Assess 14:8-32
30. Tessier Y, Lovejoy S, Schertzer D (1993) Universal multifractals: Theory and observations for rain and clouds. J Appl Meteorol 32:223-250
31. Veneziano D, Furcolo P (2002) Multifractality of rainfall and scaling of intensity-duration-frequency curves. Water Resour Res 38(12):42-1-42-12
32. Wang J (2000) Approximate representation of estimators in constrained regression problems. Scand J Stat 127:21-23
33. Winston WL (2004) Operations research: Applications and algorithms. Duxbury Press, Boston, p 1440
34. Yu PS, Yang TC, Lin CS (2004) Regional rainfall intensity formulas based on scaling property of rainfall. J Hydrol 295:108-123
35. Yue S, Wang CY (2004) Scaling of Canadian low flows. Stoch Environ Res Risk Assess 18:291-305