Revisiting rainfall clustering and intermittency across different climatic regimes

Water Resources Research

Volumn 45, Issue 11, 2009, Pages

  Molini, Annalisa ^a,b   Katul, Gabriel G ^a,b   Porporato, Amilcare ^a,b,c  

^a DUKE UNIVERSITY   (United States)

^b Duke University   (United States)

^c EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE VARIABILITY; ANOMALOUS SCALING; CLIMATIC REGIMES; HIGHER-ORDER STRUCTURE; INTENSITY FLUCTUATIONS; INTERMITTENCY; INTERMITTENCY EFFECTS; MONOFRACTAL; POWER-LAW BEHAVIOR; RAINFALL INTENSITY; RAINFALL SERIES; SCALAR DISSIPATION RATE; SCALING EXPONENT; SPECTRAL SLOPES; STORM SYSTEMS; TIME-SCALES; UNIVERSAL BEHAVIORS;

DROUGHT; PROBABILITY DENSITY FUNCTION; TURBULENCE;

RAIN;

CLIMATE CONDITIONS; CLIMATE VARIATION; DISSIPATION; PRECIPITATION INTENSITY; PROBABILITY DENSITY FUNCTION; STORM;

EID: 72149120263     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007352     Document Type: Article

References (67)

1. Aegerter, C. M. (2003), A sandpile model for the distribution of rainfall?, Physica A, 319, 1-10, doi:10.1016/S0378-4371(02)01406-1.
2. Anselmet, F., Y. Gagne, E. J. Hopfinger, and R. A. Antonia (1984), Highorder velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63-89, doi:10.1017/S0022112084000513.
3. Bak, P., C. Tang, and K. Wiesenfeld (1987), Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. E, 59(4), 381-384.
4. Bak, P., C. Tang, and K. Wiesenfeld (1988), Self-organized criticality, Phys. Rev. A, 38(1), 364-374, doi:10.1103/PhysRevA.38.364.
5. Benzi, R., S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi (1993), Extended self-similarity in turbulent flows, Phys. Rev. E, 48(1), R29-R32, doi:10.1103/PhysRevE.48.R29.
6. Bershadskii, A., J. Niemela, A. Praskovsky, and K. Sreenivasan (2004), Clusterization and intermittency of temperature fluctuations in turbulent convection, Phys. Rev. E, 69(2 -5), 056314, doi:10.1103/PhysRevE.69.056314.
7. Camussi, R., and G. Guj (1997), Orthonormal wavelet decomposition of turbulent flows: intermittency and coherent structures, J. Fluid Mech., 348, 177-199, doi:10.1017/S0022112097006551. (Pubitemid 127474228)
8. Cava, D., and G. G. Katul (2009), The effects of thermal stratification on clustering properties of canopy turbulence, Boundary Layer Meteorol., 130(3), 307-325, doi:10.1007/s10546-008-9342-6.
9. 2 concentration and related soil respiration, Adv. Water Resour., 31(7), 987-994, doi:10.1016/j.advwatres.2008. 04.001.
10. De Bruin, H. (1980), A stochastic description of wet and dry spells in terms of an effective number of days, J. Hydrol. Amsterdam, 45(1-2), 91-99, doi:10.1016/0022-1694(80)90007-4.
11. Deidda, R. (2000), Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36(7), 1779-1794, doi:10.1029/2000WR900038.
12. Deidda, R., R. Benzi, and F. Siccardi (1999), Multifractal modeling of anomalous scaling laws in rainfall, Water Resour. Res., 35(6), 1853-1867, doi:10.1029/1999WR900036. (Pubitemid 29243299)
13. Deidda, R., M. G. Badas, and E. Piga (2004), Space-time scaling in highintensity Tropical Ocean Global Atmosphere Coupled Ocean-Atmosphere Response Experiment (TOGA-COARE) storms, Water Resour. Res., 40, W02506, doi:10.1029/2003WR002574.
14. Foufoula-Georgiou, E., and P. Guttorp (1986), Compatibility of continuous rainfall occurrence models with discrete rainfall observations, Water Resour. Res., 22(8), 1316-1322, doi:10.1029/WR022i008p01316.
15. Foufoula-Georgiou, E., and D. P. Lettenmaier (1986), Continuous-time versus discrete-time point process models for rainfall occurrence series, Water Resour. Res., 22(4), 531-542, doi:10.1029/WR022i004p00531.
16. Fraedrich, K., and C. Larnder (1993), Scaling regimes of composite rainfall time series, Tellus, Ser. A, 45(4), 289-298.
17. Frisch, U. (1995), Turbulence: The Legacy of A. N. Kolmogorov, Cambridge Univ. Press, Cambridge, U.K.
18. García-Marin, A. P., F. J. Jiménez-Hornero, and J. L. Ayuso (2008), Applying multifractality and the self-organized criticality theory to describe the temporal rainfall regimes in Andalusia (southern Spain), Hydrol. Processes, 22(2), 295-308, doi:10.1002/hyp.6603. (Pubitemid 351149251)
19. Gupta, V. K., and E. C. Waymire (1993), A statistical analysis of mesoscale rainfall as a random cascade, J. Appl. Meteorol., 32(2), 251-267, doi:10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO;2.
20. Harrold, T. I., A. Sharma, and S. J. Sheather (2003), A nonparametric model for stochastic generation of daily rainfall occurrence, Water Resour. Res., 39(10), 1300, doi:10.1029/2003WR002182.
21. Jensen, H. J. (1998), Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems, Cambridge Univ. Press, Cambridge, U.K.
22. Katul, G., and M. Parlange (1994), On the active role of temperature in surface layer turbulence, J. Atmos. Sci., 51(15), 2181-2195, doi:10.1175/1520-0469(1994)051<2181:OTAROT>2.0.CO;2.
23. Katul, G. G., J. D. Albertson, M. B. Parlange, C. R. Chu, and H. Stricker (1994), Conditional sampling, bursting, and the intermittent structure of sensible heat flux, J. Geophys. Res., 99(D11), 22,869 -22,876, doi:10.1029/94JD01679.
24. Katul, G. G., C. R. Chu, M. B. Parlange, J. D. Albertson, and T. A. Ortenburger (1995), Low-wavenumber spectral characteristics of velocity and temperature in the atmospheric surface layer, J. Geophys. Res., 100(D7), 14,243-14,255.
25. Katul, G. G., C. Hsieh, and J. Sigmon (1997), Energy-inertial scale interactions for velocity and temperature in the unstable atmospheric surface layer, Boundary Layer Meteorol., 82(1), 49-80, doi:10.1023/A:1000178707511.
26. Katul, G. G., A. Porporato, R. Nathan, M. Siqueira, M. B. Soons, D. Poggi, H. S. Horn, and S. A. Levin (2005), Mechanistic analytical models for long-distance seed dispersal by wind, Am. Nat., 166(3), 368-381, doi:10.1086/432589. (Pubitemid 41266024)
27. Katul, G. G., A. Porporato, E. Daly, A. C. Oishi, H. S. Kim, P. C. Stoy, J. Y. Juang, and M. B. S. Siqueira (2007), On the spectrum of soil moisture in a shallow-rooted uniform pine forest: from hourly to inter-annual scales, Water Resour. Res., 43, W05428, doi:10.1029/2006WR005356. (Pubitemid 46998229)
28. Katul, G. G., A. Porporato, and D. Poggi (2009), Roughness effects on finescale anisotropy and anomalous scaling in atmospheric flows, Phys. Fluids, 21(3), 035106, doi:10.1063/1.3097005.
29. Kiely, G., and K. Ivanova (1999), Multifractal analysis of hourly precipitation, Phys. Chem. Earth, 24(7), 781-786.
30. Kolmogorov, A. N. (1941), The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Dokl. Akad. Nauk SSSR, 30, 299-303.
31. Koutsoyiannis, D. (2006a), An entropic-stochastic representation of rainfall intermittency: The origin of clustering and persistence, Water Resour. Res., 42, W01401, doi:10.1029/2005WR004175. (Pubitemid 43352607)
32. Koutsoyiannis, D. (2006b), On the quest for chaotic attractors in hydrological processes, Hydrol. Sci. J., 51(6), 1065-1091, doi:10.1623/hysj.51. 6.1065. (Pubitemid 44873465)
33. Lanza, L., and L. Stagi (2002), Quality standards for rain intensity measurements, Rep. 75-WMO/TD- 1123, P2 (4), WMO Comm. on Instrum. and Obs. Methods, Paris.
34. Lovejoy, S., and B. B. Mandelbrot (1985), Fractal properties of rain, and a fractal model, Tellus, Ser. A, 37(3), 209-232.
35. Lovejoy, S., and D. Schertzer (1985), Generalized scale invariance in the atmosphere and fractal models of rain, Water Resour. Res., 21(8), 1233-1250, doi:10.1029/WR021i008p01233.
36. Mallat, S. (1989), A theory for multiresolution signal decomposition: the wavelet representation, IEEE Trans. Pattern Anal., 11(7), 674-693, doi:10.1109/34.192463.
37. Menabde, M., D. Harris, A. Seed, G. Austin, and D. Stow (1997), Multiscaling properties of rainfall and bounded random cascades, Water Resour. Res., 33(12), 2823-2830, doi:10.1029/97WR02006.
38. Meneveau, C., and K. R. Sreenivasan (1991), The multifractal nature of turbulent energy dissipation, J. Fluid Mech., 224, 429-484, doi:10.1017/ S0022112091001830.
39. Molini, A., P. La Barbera, L. G. Lanza, and L. Stagi (2001), Rainfall intermittency and the sampling error of tipping-bucket rain gauges, Phys. Chem. Earth, 26(10-12), 737-742, doi:10.1016/S1464-1917(01)95018-4. (Pubitemid 33045055)
40. Molini, A., P. La Barbera, and L. G. Lanza (2002), On the properties of stochastic intermittency in rainfall processes, Water Sci. Technol., 45(2), 35-40.
41. Molini, A., L. G. Lanza, and P. La Barbera (2005), The impact of tippingbucket raingauge measurement errors on design rainfall for urban-scale applications, Hydrol. Process., 19(5), 1073-1088, doi:10.1002/hyp.5646. (Pubitemid 40413089)
42. Monin, A., and A. Yaglom (1975a), Statistical Fluid Mechanics - Mechanics of Turbulence, vol.1, MIT Press, Cambridge, Mass.
43. Monin, A., and A. Yaglom (1975b), Statistical Fluid Mechanics - Mechanics of Turbulence, vol.2, MIT Press, Cambridge, Mass.
44. Nordstrom, K. M., and V. K. Gupta (2003), Scaling statistics in a critical, nonlinear physical model of tropical oceanic rainfall, Nonlinear Processes Geophys., 10(6), 531-543.
45. Pardo-Iguzquiza, P., D. I. F. Grimes, and C. K. Teo (2006), Assessing the uncertainty associated with intermittent rainfall fields, Water Resour. Res., 42, W01412, doi:10.1029/2004WR003740. (Pubitemid 43352599)
46. Pavlopoulos, H., and V. K. Gupta (2003), Scale invariance of regional wet and dry durations of rain fields: A diagnostic study, J. Geophys. Res., 108(D8), 8387, doi:10.1029/2002JD002763.
47. Peters, O., and K. Christensen (2006), Rain viewed as relaxational events, J. Hydrol. Amsterdam, 328(1-2), 46-55, doi:10.1016/j.jhydrol.2005.11. 045. (Pubitemid 44189402)
48. Peters, O., and J. D. Neelin (2006), Critical phenomena in atmospheric precipitation, Nat. Phys., 2(6), 393-396, doi:10.1038/nphys314. (Pubitemid 43838929)
49. Pope, S. B. (2000), Turbulent Flows, Cambridge Univ. Press, Cambridge, U.K.
50. Roux, S. G., V. Venugopal, K. Fienberg, A. Arneodo, and E. Foufoula- Georgiou (2009), Evidence for inherent nonlinearity in temporal rainfall, Adv. Water Resour., 32(1), 41-48, doi:10.1016/j.advwatres.2008.09.007.
51. Sarkar, A., and P. Barat (2006), Analysis of rainfall records in India: self organized criticality and scaling, Fractals, 14(4), 289-293, doi:10.1142/S0218348X06003258. (Pubitemid 46102706)
52. Schertzer, D., P. Bernardara, A. Biaou, I. Tchiguirinskaia, M. Lang, E. Sauquet, H. Bendjoudi, P. Hubert, S. Lovejoy, and J. M. Veysseire (2006), Extremes and multifractals in hydrology: Results, validations and prospects, Houille Blanche, 5, 112-119, doi:10.1051/lhb:2006095. (Pubitemid 44755897)
53. Schmitt, F., S. Vannitsem, and A. Barbosa (1998), Modeling of rainfall time series using two-state renewal processes and multifractals, J. Geophys. Res., 103(D18), 23,181-23,193, doi:10.1029/98JD02071. (Pubitemid 29126424)
54. Sreenivasan, K. R. (1991), Fractals and multifractals in fluid turbulence, Annu. Rev. Fluid Mech., 23, 539-600, doi:10.1146/annurev.fl.23. 010191.002543.
55. Sreenivasan, K. R. (1999), Fluid turbulence, Rev. Mod. Phys., 71(2), S383-S395, doi:10.1103/RevModPhys.71.S383.
56. Sreenivasan, K. R., and A. Bershadskii (2006), Clustering properties in turbulent signals, J. Stat. Phys., 125(5 -6), 1141-1153, doi:10.1007/s10955-006- 9112-0.
57. Sreenivasan, K. R., and B. Dhruva (1998), Is there scaling in high reynolds number turbulence?, Prog. Theor. Phys., 130, Suppl., 103-120, doi:10.1143/PTPS.130.103.
58. Stolovitzky, G., K. R. Sreenivasan, and A. Juneja (1993), Scaling functions and scaling exponents in turbulence, Phys. Rev. E, 48(5), R3217-R3220, doi:10.1103/PhysRevE.48.R3217.
59. Telesca, L., V. Lapenna, E. Scalcione, and D. Summa (2007), Searching for time-scaling features in rainfall sequences, Chaos Solitons Fractals, 32(1), 35-41, doi:10.1016/j.chaos.2005.10.078. (Pubitemid 44389910)
60. Veneziano, D., and V. Iacobellis (2002), Multiscaling pulse representation of temporal rainfall, Water Resour. Res., 38(8), 1138, doi:10.1029/2001WR000522.
61. Veneziano, D., R. L. Bras, and J. D. Niemann (1996), Nonlinearity and self-similarity of rainfall in time and a stochastic model, J. Geophys. Res., 101(D21), 26,371-26,392, doi:10.1029/96JD01658.
62. Veneziano, D., P. Furcolo, and V. Iacobellis (2006a), Imperfect scaling of time and space-time rainfall, J. Hydrol. Amsterdam, 322(1-4), 105-119, doi:10.1016/j.jhydrol.2005.02.044.
63. Veneziano, D., A. Langousis, and P. Furcolo (2006b), Multifractality and rainfall extremes: A review, Water Resour. Res., 42, W06D15, doi:10.1029/2005WR004716. (Pubitemid 44156596)
64. Venugopal, V., S. G. Roux, E. Foufoula-Georgiou, and A. Arneodo (2006a), Revisiting multifractality of high-resolution temporal rainfall using a wavelet-based formalism, Water Resour. Res., 42, W06D14, doi:10.1029/ 2005WR004489. (Pubitemid 44156595)
65. Venugopal, V., S. G. Roux, E. Foufoula-Georgiou, and A. Arneodo (2006b), Scaling behavior of high resolution temporal rainfall: new insights from a wavelet-based cumulant analysis, Phys. Lett. A, 348(3-6), 335-345, doi:10.1016/j.physleta.2005.08.064. (Pubitemid 41803029)
66. Waymire, E. C. (2006), Two highly singular intermittent structures: rain and turbulence, Water Resour. Res., 42, W06D08, doi:10.1029/2005WR004492. (Pubitemid 44156589)
67. Zawadzki, I. (1987), Fractal structure and exponential decorrelation in rain, J. Geophys. Res., 92(D8), 9586-9590, doi:10.1029/JD092iD08p09586.