Analytical derivation of rain intensity-duration-area-frequency relationships from event maxima

Journal of Hydrology

Volumn 399, Issue 3-4, 2011, Pages 385-393

  De Michele, C ^a   Zenoni, E ^b   Pecora, S ^b   Rosso, R ^a  

^a POLITECNICO DI MILANO   (Italy)

^b ARPA Emilia Romagna   (Italy)

Author keywords

Annual maxima; Event maxima; Intensity duration area frequency; Quantile; Scale

Indexed keywords

ANNUAL MAXIMA; EVENT MAXIMA; INTENSITY-DURATION-AREA-FREQUENCY; QUANTILE; SCALE;

STATISTICS;

RAIN;

CHRONOLOGY; PRECIPITATION ASSESSMENT; PRECIPITATION INTENSITY; SPATIOTEMPORAL ANALYSIS; STATISTICAL APPLICATION;

EMILIA-ROMAGNA; ITALY; RENO BASIN;

EMILIA;

EID: 79952004018     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.01.018     Document Type: Article

References (32)

1. Bell T.L. A space-time stochastic model of rainfall for satellite remote-sensing studies. Journal Geophysical Research Atmosphere 1987, 92(D8):9631-9643.
2. Benson, M.A., 1962. Evolution of methods for evaluating the occurrence of floods. U.S. Geol. Surv. Water Supply Pap. 1580A.
3. Ben-Zvi A. Rainfall intensity-duration-frequency relationships derived from large partial duration series. Journal of Hydrology 2009, 367:104-114.
4. Burlando P., Rosso R. Scaling and multiscaling models of depth-duration-frequency. Journal of Hydrology 1996, 187:45-64.
5. Castro J.J., Carsteanu A.A., Flores C.G. Intensity-duration-area-frequency functions for precipitation in a multifractal framework. Physica A 2004, 338(1-2):206-210.
6. Cho K., Bowman P., North G.R. A comparison of Gamma and Lognormal distributions for characterizing satellite rain rates from the Tropical Rainfall Measuring Mission. Journal of Applied Meteorology 2004, 43:1586-1597.
7. Chow V.T., Maidment D.R., Mays L.W. Applied Hydrology 1988, McGraw-Hill, Singapore.
8. Cressie N. Statistics for Spatial Data 1993, Wiley, New York.
9. Cunnane C. A particular comparison of annual maxima and partial duration series methods of flood frequency predictions. Journal of Hydrology 1973, 18:257-271.
10. Deidda R. Rainfall downscaling in a space-time multifractal framework. Water Resources Research 2000, 36(7):1779-1794.
11. De Michele C., Bernardara P. Spectral analysis and modeling of space-time rainfall fields. Atmospheric Research 2005, 77(1-4):124-136.
12. De Michele C., Kottegoda N.T., Rosso R. The derivation of areal reduction factor of storm rainfall from its scaling properties. Water Resources Research 2001, 37(12):3247-3252.
13. De Michele C., Kottegoda N.T., Rosso R. IDAF curves of extreme storm rainfall: a scaling approach. Water Science and Technology 2002, 45(2):83-90.
14. Eagleson P.S. Dynamic Hydrology 1970, McGraw Hill, New York.
15. Ignaccolo M., De Michele C. A point based Eulerian definition of rain event based on statistical properties of inter drop time intervals: an application to Chilbolton data. Advances in Water Resources 2010, 33(8):933-941.
16. Ignaccolo M., De Michele C., Bianco S. The droplike nature of rain and its invariant statistical properties. Journal of Hydrometeorology 2009, 10(1):7995. 10.1175/2008JHM975.1.
17. Kedem B., Chiu L.S., North G.R. Estimation of mean rain rate: application to satellite observations. Journal Geophysical Research Atmosphere 1990, 95(D2):1965-1972.
18. Kedem B., Pfeiffer R., Short D.A. Variability of space-time mean rain rate. Journal of Applied Meteorology 1997, 36:443-451.
19. Langousis A., Veneziano D. Intensity-duration-frequency curves from scaling representations of rainfall. Water Resources Research 2007, 43. 10.1029/2006WR005245.
20. Logan J.D. Applied Mathematics: A Contemporary Approach 1987, Wiley, New York.
21. Lovejoy S., Schertzer D. Generalized scale invariance in the atmosphere and fractal models of rain. Water Resources Research 1985, 21(8):1233-1250.
22. Moisello U. Idrologia tecnica 1998, La Goliardica Pavese, Pavia.
23. NERC, 1975. Flood Studies Report. Natural Environmental Research Council, vol. II. Meteorological Studies, London.
24. Pavlopoulos H., Picek J., Jureckova J. Heavy tailed durations of regional rainfall. Applications of Mathematics 2008, 53(3):249-265.
25. Raudkivi A.J. Hydrology: An Advanced Introduction to Hydrological Processes and Modelling 1979, Pergamon Press, New York.
26. Salvadori G., De Michele C. From generalized Pareto to extreme value laws: scaling properties and derived features. Journal Geophysical Research Atmosphere 2001, 106(D20):24063-24070.
27. Salvadori G., De Michele C. Statistical characterization of temporal structure of storms. Advances in Water Resources 2006, 29(6):827-842.
28. Salvadori G., De Michele C., Kottegoda N.T., Rosso R. Extremes in Nature. An Approach Using Copulas 2007, Springer, Dordrecht.
29. Supino G. Le reti idrauliche 1965, Patron Ed., Bologna.
30. Van Montfort M.A.J., Witter J.V. The generalized Pareto distribution applied to rainfall depths. Hydrological Science Journal 1986, 31:151-162.
31. Veneziano D., Langousis A. The areal reduction factor: a multifractal analysis. Water Resources Research 2005, 41. 10.1029/2004WR003765.
32. Venugopal V., Foufoula-Georgiu E., Sapozhnikov V. Evidence of dynamic scaling in space-time rainfall. Journal Geophysical Research Atmosphere 1999, 104(D24):31599-31610.