The scaling of temporal rainfall

Water Resources Research

Volumn 48, Issue 8, 2012, Pages

  Veneziano, Daniele ^a   Lepore, Chiara ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS ANALYSIS; DOWN-SCALING; DRY AND WET; INTERMITTENCY; KEY PARAMETERS; LOG-NORMAL MODEL; MULTIFRACTAL MODELS; MULTIFRACTALITY; RAINFALL EXTREMES; SCALING ANALYSIS; STABILITY INDICES; STANDARD METHOD;

FRACTALS; THUNDERSTORMS;

RAIN;

CLIMATE CHANGE; DOWNSCALING; ERROR CORRECTION; EXTREME EVENT; HYPOTHESIS TESTING; INDEX METHOD; LITERATURE REVIEW; NUMERICAL MODEL; PARAMETERIZATION; PRECIPITATION ASSESSMENT; RAINSTORM; TEMPORAL ANALYSIS;

EID: 84865732426     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2012WR012105     Document Type: Article

References (41)

1. Becchi, I., and F. Castelli (1989), Lettura ed archiviazione digitali di registrazioni pluviografiche ad alta risoluzione temporale, Tech Rep. 1/89, Dep. of Civ. Eng., Univ. of Florence, Florence, Italy.
2. de Lima, M. I. P., and J. L. M. P. de Lima (2009), Investigating the multifractality of point precipitation in the Madeira archipelago, Nonlinear Processes Geophys., 16, 299-311, doi:10.5194/npg-16-299-2009.
3. de Montera, L., L. Barthès, C. Mallet, and P. Golé (2009), The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters, J. Hydrometeorol., 10, 493-506, doi:10.1175/ 2008JHM1040.1.
4. Deidda, R. (2000), Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36(7), 1779-1794, doi:10.1029/ 2000WR900038. (Pubitemid 30651194)
5. Dixon, M. (1994), Automated storm identification, tracking and forecasting - A radar-based method, PhD thesis, Univ. of Colo., Boulder.
6. Gomes, A. M., and G. Held (2005), Characterization of storm properties during the TroCCiBras experiment, paper presented at 11th Conference on Mesoscale Processes and 32nd Conference on Radar Meteorology, Am. Meteorol. Soc., Albuquerque, N. M.
7. Gupta, V. K., and E. C. Waymire (1993), A statistical analysis of mesoscale rainfall as a random cascade, J. Appl. Meteorol., 32, 251-267,doi:10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO;2. (Pubitemid 23381911)
8. Hershfield, D. M. (1961), Rainfall frequency atlas of the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years, Weather Bur. Tech. Pap. 40, U.S. Dep. of Commer., Washington, D. C.
9. Hubert, P., Y. Tessier, S. Lovejoy, D. Schertzer, F. Schmitt, P. Ladoy, J. P. Carbonnel, and S. Violette (1993), Multifractals and extreme rainfall events, Geophys. Res. Lett., 20(10), 931-934, doi:10.1029/93GL01245. (Pubitemid 24392809)
10. Huff, F. A. (1967), Time distribution of rainfall in heavy storms, Water Resour. Res., 3(4), 1007-1019, doi:10.1029/WR003i004p01007.
11. Koutsoyiannis, D., and E. Foufoula-Georgiou (1993), A scaling model for a storm hyetograph, Water Resour. Res., 29(7), 2345-2361, doi:10.1029/ 93WR00395.
12. Lakshmanan, V., R. Rabin, and V. DeBrunner (2003), Multiscale storm identification and forecast, J. Atmos. Res., 67-68, 367-380, doi:10.1016/ S0169-8095(03)00068-1. (Pubitemid 37142003)
13. Langousis, A., and D. Veneziano (2007), Intensity-duration-frequency curves from scaling representations of rainfall, Water Resour. Res., 43, W02422, doi:10.1029/2006WR005245. (Pubitemid 46502889)
14. Lavallée, D., D. Schertzer, and S. Lovejoy (1991), On the determination of the codimension function, in Non-linear Variability in Geophysics: Scaling and Fractals, edited by D. Schertzer and S. Lovejoy, pp. 99-109, Kluwer Acad., Dordrecht, Netherlands, doi:10.1007/978-94-009-2147-4-7.
15. Lovejoy, S., and D. Schertzer (1995), Multifractals and rain, in New Uncertainty Concepts in Hydrology and Hydrological Modelling, edited by A. W. Kundzewicz, pp. 61-103, Cambridge University Press, Cambridge, U. K., doi:10.1017/CBO9780511564482.009.
16. Mandapaka, P. V., P. Lewandowski, W. E. Eichinger, and W. F. Krajewski (2009), Multiscaling analysis of high resolution space-time lidar-rainfall, Nonlinear Processes Geophys., 16, 579-586, doi:10.5194/npg-16-579- 2009.
17. Mandelbrot, B. B. (1974), Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier, J. FluidMech., 62, 331-358, doi:10.1017/S0022112074000711.
18. Menabde, M., and M. Sivapalan (2000), Modeling of rainfall time series and extremes using bounded random cascades and levy-stable distributions, Water Resour. Res., 36(11), 3293-3300, doi:10.1029/2000WR900197.
19. Molini, A., G. G. Katul, and A. Porporato (2009), Revisiting rainfall clustering and intermittency across different climatic regimes, Water Resour. Res., 45, W11403, doi:10.1029/2008WR007352.
20. Molnar, P., and P. Burlando (2005), Preservation of rainfall properties in stochastic disaggregation by a simple random cascade model, Atmos. Res., 77, 137-151, doi:10.1016/j.atmosres.2004.10.024. (Pubitemid 41487409)
21. Molnar, P., and P. Burlando (2008), Variability in the scale properties of high-resolution precipitation data in the Alpine climate of Switzerland, Water Resour. Res., 44, W10404, doi:10.1029/2007WR006142.
22. Nykanen, D., and D. Harris (2003), Orographic influences on the multiscale statistical properties of precipitation, J. Geophys. Res., 108(D8), 8381, doi:10.1029/2001JD001518.
23. Olsson, J. (1995), Limits and characteristics of the multifractal behaviour of a high-resolution rainfall time series, Nonlinear Processes Geophys., 2, 23-29, doi:10.5194/npg-2-23-1995.
24. Olsson, J., J. Niemczynowicz, and R. Berndtsson (1993), Fractal analysis of high-resolution rainfall time series, J. Geophys. Res., 98(D12),23,265-23, 274, doi:10.1029/93JD02658.
25. Over, T. M., and V. K. Gupta (1996), A space-time theory of mesoscale rainfall using random cascades, J. Geophys. Res., 101, 26,319-26,331, doi:10.1029/96JD02033.
26. Schertzer, D., and S. Lovejoy (1987), Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes, J. Geophys. Res., 92(D8), 9693-9714, doi:10.1029/JD092iD08p09693.
27. Serinaldi, F. (2010), Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models, Nonlinear Processes Geophys., 17, 697-714, doi:10.5194/npg-17-697-2010.
28. Sun, X., and A. P. Barros (2010), An evaluation of the statistics of rainfall extremes in rain gauge observations, and satellite-based and reanalysis products using universal multifractals, J. Hydrometeorol., 11, 388-404, doi:10.1175/2009JHM1142.1.
29. Tessier, Y., S. Lovejoy, and D. Schertzer (1993), Universal multifractals: Theory and observations for rain and clouds, J. Appl. Meteorol., 32, 223-250, doi:10.1175/1520-0450(1993)032<0223:UMTAOF>2.0.CO;2. (Pubitemid 23381912)
30. Thomopoulos, N. T., and A. C. Johnson (2004), Some measures on the standard bivariate log-normal distribution, in Proc. Decision Sci. Inst., 2004, pp. 1721-1726, Decision Sciences Institute, Atlanta, Ga.
31. Upton, G. J. J. (2002), A correlation-regression method for tracking rainstorms using rain-gauge data, J. Hydrol., 261, 60-73, doi:10.1016/ S0022-1694(01)00618-7.
32. Veneziano, D., and P. Furcolo (1999), A modified double trace moment method of multifractal analysis, Fractals, 7(2), 181-195, doi:10.1142/ S0218348X99000207. (Pubitemid 129626474)
33. Veneziano, D., and P. Furcolo (2002), Multifractality of rainfall and intensity-duration-frequency curves, Water Resour. Res., 38(12), 1306, 12 pp., doi:10.1029/2001WR000372.
34. Veneziano, D., and P. Furcolo (2003), Marginal distribution of stationary multifractal measures and their Haar wavelet coefficients, Fractals, 11(3), 253-270, doi:10.1142/S0218348X03002051. (Pubitemid 37374486)
35. Veneziano, D., and P. Furcolo (2009), Improved moment scaling estimation for multifractal signals, Nonlinear Processes Geophys., 16, 641-653, doi:10.5194/npg-16-641-2009.
36. Veneziano, D., and P. Iacobellis (2002), Multiscaling pulse representation of temporal rainfall, Water Resour. Res., 38(8), 1138, doi:10.1029/ 2001WR000522.
37. Veneziano, D., and A. Langousis (2005), The maximum of multifractal cascades: Exact distribution and approximations, Fractals, 13, 311-324. (Pubitemid 41618559)
38. Veneziano, D., A. Langousis, and P. Furcolo (2006a), Multifractality and rainfall extremes: A review, Water Resour. Res., 42, W06D15, doi:10.1029/2005WR004716. (Pubitemid 44156596)
39. Veneziano, D., P. Furcolo, and P. Iacobellis (2006b), Imperfect scaling of time and space-time rainfall, J. Hydrol., 322(1-4), 105-119.
40. Verrier, S., L. De Montera, L. Barthès, and C. Mallet (2010), Multifractal analysis of African monsoon rain fields, taking into account the zero rain-rate problem, J. Hydrol., 389, 111-120, doi:10.1016/j.jhydrol.2010.05. 035.
41. Verrier, S., C. Mallet, and L. Barthès (2011), Multiscaling properties of rain in the time domain, taking into account rain support biases, J. Geophys. Res., 116, D20119, doi:10.1029/2011JD015719.