Modeling Raindrop Size Distribution and Z(R) Relations in the Western Mediterranean Area

Carlos Cerro Department of Astronomy and Meteorology, University of Barcelona, Barcelona, Spain

Search for other papers by Carlos Cerro in
Current site
Google Scholar
PubMed
Close
,
Bernat Codina Department of Astronomy and Meteorology, University of Barcelona, Barcelona, Spain

Search for other papers by Bernat Codina in
Current site
Google Scholar
PubMed
Close
,
Joan Bech Department of Astronomy and Meteorology, University of Barcelona, Barcelona, Spain

Search for other papers by Joan Bech in
Current site
Google Scholar
PubMed
Close
, and
Jeroni Lorente Department of Astronomy and Meteorology, University of Barcelona, Barcelona, Spain

Search for other papers by Jeroni Lorente in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

This study shows the results of the modeling of drop size distributions (DSD) observed during a 2-yr study in Barcelona. Thirty-second individual sample collections of drop sizes and velocities were measured with an optical disdrometer and grouped into different classes according to their rain rate. Using the moments method, the entire experimental dataset was fitted to three standard distribution functions: exponential, gamma, and lognormal. Relationships were found between rain rate R and other moments of the DSD, such as optical attenuation Σ, liquid water content W, and reflectivity Z. Although gamma distribution generally reproduced experimental measurements more accurately, the Z(R) relationship, which is particularly relevant in radar meteorology, yielded the best results when calculated from fitted exponential distribution.

Corresponding author address: Dr. Jeroni Lorente, Department of Astronomy and Meteorology, University of Barcelona, Auguda Diagonal, 647 E-08028 Barcelona, Spain.

Abstract

This study shows the results of the modeling of drop size distributions (DSD) observed during a 2-yr study in Barcelona. Thirty-second individual sample collections of drop sizes and velocities were measured with an optical disdrometer and grouped into different classes according to their rain rate. Using the moments method, the entire experimental dataset was fitted to three standard distribution functions: exponential, gamma, and lognormal. Relationships were found between rain rate R and other moments of the DSD, such as optical attenuation Σ, liquid water content W, and reflectivity Z. Although gamma distribution generally reproduced experimental measurements more accurately, the Z(R) relationship, which is particularly relevant in radar meteorology, yielded the best results when calculated from fitted exponential distribution.

Corresponding author address: Dr. Jeroni Lorente, Department of Astronomy and Meteorology, University of Barcelona, Auguda Diagonal, 647 E-08028 Barcelona, Spain.

Save
  • Ajayi, G. O., and R. L. Olsen, 1985: Modeling of a tropical raindrop size distribution for microwave and millimeter wave applications. Radio Sci.,20, 193–202.

  • Atlas, D., 1953: Optical extinction by rainfall. J. Meteor.,10, 486–488.

  • Austin, P. M., 1987: Relation between measured radar reflectivity and surface rainfall. Mon. Wea. Rev.,115, 1053–1070.

  • Battan, L. J., 1973: Radar Observations of the Atmosphere. The University of Chicago Press, 324 pp.

  • Blanchard, D. C., and A. Theodore Spencer, 1973: Experiments on the generation of raindrop size distributions by drop breakup. J. Atmos. Sci.,27, 101–108.

  • Bradley, S. G., and C. D. Stow, 1974: The measurement of charge and size of rain drops: Part II. Results and analysis at ground level. J. Appl. Meteor.,13, 131–147.

  • Brandt, C. J., 1989: The size distribution of throughfall drops under vegetation canopies. Catena,16, 507–524.

  • Cataneo, R., and G. E. Stout, 1968: Raindrop-size distribution in humid continental climates, and associated rainfall rate–radar reflectivity relationships. J. Appl. Meteor.,7, 901–907.

  • Chýlek, P., P. Damiano, and E. P. Shettle, 1992: Infrared emittance of water clouds. J. Atmos. Sci.,49, 1459–1472.

  • Feingold, G., and Z. Levin, 1986: The lognormal fit to raindrop spectra from frontal convective clouds in Israel. J. Climate Appl. Meteor.,25, 1346–1363.

  • Fujiwara, M., 1965: Raindrop size distributions from individual storms. J. Atmos. Sci.,22, 585–591.

  • Gillespie, J. R., and R. List, 1979: Effects of collision induced breakup on drop size distributions in steady state rainshafts. Pure Appl. Geophys.,117, 599–626.

  • Hansen, J. E., and L. D. Travis, 1974: Light scattering in planetary atmospheres. Space Sci. Rev.,16, 527–610.

  • Hauser, D., P. Amayenc, B. Nutten, and P. Waldteufel, 1984: A new optical instrument for simultaneous measurement of raindrop diameter and fall speed distributions. J. Atmos. Oceanic Technol.,1, 256–269.

  • Joss, J., and E. G. Gori, 1978: Shapes of raindrop size distributions. J. Appl. Meteor.,17, 1054–1061.

  • ——, K. Schram, J. C. Thams, and A. Waldvogel, 1970: On the quantitative determination of precipitation by radar. Wissenschaftliche Mitteilung Nr. 63, Zurich: Eidgenössische Kommission zum Studium der Hagelbildung und der Hagelabwehr.

  • Laws, J. O., and D. A. Parsons, 1943: The relation of raindrop-size to intensity. Trans. Amer. Geophys. Union,24, 452–460.

  • Levin, Z., 1971: Charge separation by splashing of naturally falling raindrops. J. Atmos. Sci.,28, 543–548.

  • List, R., and J. R. Gillespie, 1976: Evolution of raindrop spectra with collision induced breakup. J. Atmos. Sci.,33, 2007–2013.

  • Lorente, J., and A. Redaño, 1990: Rainfall rate distribution in a local scale: The case of Barcelona city. Theor. Appl. Climatol.,41, 23–32.

  • Markowitz, A. H., 1976: Raindrop size distribution expressions. J. Appl. Meteor.,15, 1029–1031.

  • Marshall, J. S., and W. McK. Palmer, 1948: The distributions of raindrop with size. J. Meteor.,5, 165–166.

  • Rice, P. L., and N. R. Holmberg, 1973: Cumulative statistics of surface point rainfall rates. IEEE Trans Comm.,21(10), 1131–1136.

  • Sekhon, R. S., and R. C. Srivastava, 1970: Snow size spectra and radar reflectivity. J. Atmos. Sci.,27, 299–307.

  • ——, and ——, 1971: Doppler observations of drop size distributions in a thunderstorm. J. Atmos. Sci.,28, 983–994.

  • Ulbrich, C. W., 1983: Natural variations in the analytical form of the raindrop size distribution. J. Climate Appl. Meteor.,22, 1764–1775.

  • ——, and D. Atlas, 1978: The rain parameter diagram: Methods and applications. J. Geophys. Res.,83, 1319–1325.

  • Uplinger, C. W., 1981: A new formula for raindrop terminal velocity. Preprints, 20th Conf. on Radar Meteorology, Boston, MA, Amer. Meteor. Soc., 389–391.

  • Vilar, E., and A. Burgueño, 1995: Statistical properties of 49 years of rainfall rate events. Theor. Appl. Climatol.,50, 213–225.

  • Waldvogel, A., 1974: The No jump of raindrop spectra. J. Atmos. Sci.,31, 1067–1078.

  • Willis, P. T., 1984: Functional fits to some observed drop size distributions and parameterization of rain. J. Atmos. Sci.,41, 1648–1661.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 600 111 6
PDF Downloads 311 78 2