Scaling analysis of the variability of the rain drop size distribution at small scale

Advances in Water Resources

Volumn 45, Issue , 2012, Pages 2-12

  Berne, A ^a   Jaffrain, J ^a   Schleiss, M ^a  

^a EPFL   (Switzerland)

Author keywords

Raindrop size distribution; Scaling; Weather radar

Indexed keywords

DATA SETS; DISDROMETERS; POINT MEASUREMENT; RADAR PIXELS; RAIN DROP SIZE; RAIN EVENTS; RAIN RATES; RAINDROP SIZE DISTRIBUTION; RELIABLE ESTIMATES; SCALING; SCALING ANALYSIS; SMALL SCALE; SMALL SCALE VARIABILITY; SPACE AND TIME; SPATIAL SCALE; SPATIAL VARIABILITY; TEMPORAL RESOLUTION;

DROPS; METEOROLOGICAL RADAR; PIXELS; RADAR MEASUREMENT; RAIN;

SIZE DISTRIBUTION;

PIXEL; PRECIPITATION ASSESSMENT; RADAR; RAINDROP; RAINGAUGE; SIZE DISTRIBUTION; SPATIAL VARIATION; TEMPORAL VARIATION;

EID: 84864329229     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.12.016     Document Type: Article

References (38)

1. Pruppacher H.R., Klett R.L. Microphysics of clouds and precipitation. No. 18 in Atmospheric and Oceanographic Sciences Library 1997, Kluwer Academic Press. 2nd ed.
2. Tokay A., Short D.A. Evidence from tropical raindrop spectra of the origin of rain from stratiform versus convective clouds. J Appl Meteor 1996, 35(3):355-371.
3. Jameson A.R., Kostinski A.B. What is a raindrop size distribution?. Bull Amer Meteor Soc 2001, 82(6):1169-1177.
4. Uijlenhoet R., Steiner M., Smith J.A. Variability of raindrop size distributions in a squall line and implications for radar rainfall estimation. J Hydrometeor 2003, 44(4):43-61.
5. Schleiss M., Berne A., Uijlenhoet R. Geostatistical simulation of 2d fields of raindrop size distributions at the meso-γ scale. Water Resour Res 2009, 45:W07415. 10.1029/2008WR007545.
6. Lee G., Zawadzki I. Variability of drop size distributions: time-scale dependence of the variability and its effects on rain estimation. J Appl Meteor 2005, 44(2):241-255. 10.1175/JAM2183.1.
7. Miriovsky B., Bradley A.A., Eichinger W.E., Krajewski W.F., Kruger A., Neslon B.R., et al. An experimental study of small-scale variability of radar reflectivity using disdrometer observations. J Appl Meteor 2004, 43(1):106-118.
8. Lee C.H., Lee G., Zawadzki I., Kim K.E. A preliminary analysis of spatial variability of raindrop size distributions during stratiform rain events. J Appl Meteor Climate 2009, 48(2):270-283. 10.1175/2008JAMC1877.1.
9. Tokay A., Bashor P.G. An experimental study of small-scale variability of raindrop size distribution. J Appl Meteor Climate 2010, 49(11):2348-2365. 10.1175/2010JAMC2269.1.
10. Jaffrain J., Studzinski A., Berne A. A network of disdrometers to quantify the small-scale variability of the raindrop size distribution. Water Resour Res 2011, 47(W00H06). 10.1029/2010WR009872.
11. Sempere-Torres D., Porrà J.M., Creutin J.D. A general formulation for raindrop size distribution. J Appl Meteor 1994, 33(12):1494-1502.
12. Lee G., Zawadzki I., Szyrmer W., Sempere-Torres D., Uijlenhoet R. A general approach to double-moment normalization of drop size distributions. J Appl Meteor 2004, 43(2):264-281.
13. Willis P.T. Functional fits to some observed drop size distributions and parameterization of rain. J Atmos Sci 1984, 41(9):1648-1661.
14. Testud J., Oury S., Black R.A., Amayenc P., Dou X. The concept of normalized distribution to describe raindrop spectra: a tool for cloud physics and cloud remote sensing. J Appl Meteor 2001, 40(6):1118-1140.
15. 1/2 number density law. New J Phys 2008, 10(075017). 10.1088/1367-2630/10/7/075017.
16. Sempere-Torres D., Porrà J.M., Creutin J.D. Experimental evidence of a general description for raindrop size distribution properties. J Geophys Res 1998, 103(D2):1785-1797.
17. Uijlenhoet R., Smith J.A., Steiner M. The microphysical structure of extreme precipitation as inferred from ground-based raindrop spectra. J Atmos Sci 2003, 60(10):1220-1238.
18. Chapon B., Delrieu G., Gosset M., Boudevillain B. Variability of rain drop size distribution and its effect on the Z-R relationship: a case study for intense Mediterranean rainfall. Atmos Res 2008, 87(1):52-65.
19. Atlas D., Ulbrich C.W. Path and area integrated rainfall measurement by microwave attenuation in the 1-3cm band. J Appl Meteor 1977, 16(4):327-332.
20. Moumouni S., Gosset M., Houngninou E. Main features of rain drop size distributions observed in Benin, West Africa, with optical disdrometers. Geophys Res Lett 2008, 35(23). 10.1029/2008GL035755. L23807.
21. Morin E., Krajewski W.F., Goodrich D.C., Gao X.G., Sorooshian S. Estimating rainfall intensities from weather radar data: the scale-dependency problem. J Hydrometeor 2003, 4(5):782-797.
22. Steiner M., Smith J.A. Scale dependence of radar-rainfall rates - an assessment based on raindrop spectra. J Hydrometeor 2004, 5(6):1171-1180. 10.1175/JHM-383.1.
23. Löffler-Mang M., Joss J. An optical disdrometer for measuring size and velocity of hydrometeors. J Atmos Oceanic Technol 2000, 17(2):130-139.
24. Battaglia A., Rustemeier E., Tokay A., Blahak U., Simmer C. PARSIVEL snow observations: a critical assessment. J Atmos Oceanic Technol 2010, 27(2):333-344. 10.1175/2009JTECHA1332.1.
25. Jaffrain J., Berne A. Experimental quantification of the sampling uncertainty associated with measurements from Parsivel disdrometers. J Hydrometeor 2011, 12(3). 10.1175/2010JHM1244.1.
26. Kruger A., Krajewski W.F. Two-dimensional video disdrometer: a description. J Atmos Oceanic Technol 2002, 19(5):602-617.
27. Thurai M., Bringi V.N. Drop axis ratios from a 2D video disdrometer. J Atmos Oceanic Technol 2005, 22(7):966-978. 10.1175/JTECH1767.1.
28. Beard K.V. Terminal velocity and shape of cloud and precipitation drops aloft. J Atmos Sci 1976, 33(5):851-864.
29. Salles C., Creutin J.D. Instrumental uncertainties in Z-R relationships and raindrop fall velocities. J Appl Meteor 2003, 42(2):279-290.
30. Montero-Martínez G., Kostinski A.B., Shaw R.A., García-García F. Do all raindrops fall at terminal speed?. Geophys Res Lett 2009, 36(L11818). 10.1029/2008GL037111.
31. Leijnse H., Uijlenhoet R. The effect of reported high-velocity small raindrops on inferred drop size distributions and derived power laws. Atmos Chem Phys 2010, 10:6807-6818. 10.5194/acp-10-6807-2010.
32. Ciach G.J. Local random errors in tipping-bucket rain gauge measurements. J Atmos Oceanic Technol 2003, 20(5):752-759.
33. Gage K.S., Clark W.L., Williams C.R., Tokay A. Determining reflectivity measurement error from serial measurements using paired disdrometers and profilers. Geophys Res Lett 2004, 31:L23107. 10.1029/2004GL020591.
34. Tokay A., Bashor P.G., Wolff K. Error characteristics of rainfall measurements by collocated JossWaldvogel disdrometers. J Atmos Oceanic Technol 2005, 22(5):513-527. 10.1175/JTECH1700.1.
35. Berne A., Uijlenhoet R. Quantification of the radar reflectivity sampling error in non-stationary rain using paired disdrometers. Geophys Res Lett 2005, 32(19):L19813. 10.1029/2005GL024030.
36. R Development Core Team. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing; Vienna, Austria; 2011. ISBN 3-900051-07-0; URL http://www.R-project.org/.
37. Marshall J.S., Palmer W.M. The distribution of raindrops with size. J Meteor 1948, 5:165-166.
38. Mood A.M., Graybill F.A., Boes D.C. Introduction to the theory of statistics. Statistics Series 1974, McGraw-Hill. 3rd ed.