Errors in estimating raindrop size distribution parameters employing disdrometer and simulated raindrop spectra

Journal of Applied Meteorology and Climatology

Volumn 48, Issue 2, 2009, Pages 406-425

  Cao, Qing ^a   Zhang, Guifu ^a  

^a University of Oklahoma   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL REFLECTIVITY; DISDROMETER; DROP SIZE DISTRIBUTION MODELS; ERROR EFFECT; FRACTIONAL ERRORS; GAMMA DISTRIBUTION; GAMMA MODELS; IF THERE ARE; INTEGRAL PARAMETERS; MEAN FUNCTIONS; MICROPHYSICS; MODEL ERRORS; MOMENT ESTIMATOR; MULTIPARAMETER RADAR; RADAR REFLECTIVITIES; RAINDROP SIZE DISTRIBUTION; RAINDROP SPECTRA; RAINFALL RATES; TOTAL NUMBER CONCENTRATIONS;

DROPS; LIGHTNING; MAXIMUM LIKELIHOOD; MEASUREMENT ERRORS; PHYSICS; RADAR; RADAR MEASUREMENT; RAIN; REFLECTION; SIZE DISTRIBUTION;

PARAMETER ESTIMATION;

ERROR ANALYSIS; MAXIMUM LIKELIHOOD ANALYSIS; MEASUREMENT METHOD; NUMERICAL MODEL; PRECIPITATION (CLIMATOLOGY); RAINDROP; SIZE DISTRIBUTION;

EID: 66149143578     PISSN: 15588424     EISSN: None     Source Type: Journal    
DOI: 10.1175/2008JAMC2026.1     Document Type: Article

References (41)

1. Atlas, D., and C. Ulbrich, 2006: Drop size spectra and integral remote sensing parameters in the transition from convective to stratiform rain. Geophys. Res. Lett., 33, L16803, doi:.1029/2006GL026824.
2. Brandes, E. A., G. Zhang, and J. Vivekanandan, 2002: Experiments in rainfall estimation with a polarimetric radar in a subtropical environment. J. Appl. Meteor., 41, 674-685.
3. Brandes, E. A., G. Zhang, and J. Vivekanandan, 2004a: Drop size distribution retrieval with polarimetric radar: Model and application. J. Appl. Meteor., 43, 461-475.
4. Brandes, E. A., G. Zhang, and J. Vivekanandan, 2004b: Comparison of polarimetric radar drop size distribution retrieval algorithms. J. Atmos. Sci., 21, 584-598.
5. Bringi, V. N., and V. Chandrasekar, 2001: Polarimetric Doppler Weather Radar: Principles and Applications. Cambridge University Press, 636 pp.
6. Bringi, V. N., G. Huang, V. Chandrasekar, and E. Gorgucci; 2002: A methodology for estimating the parameters of a gamma raindrop size distribution model from polarimetric radar data: Application to a squall-line event from the TRMM/Brazil campaign. J. Atmos. Oceanic Technol., 19, 633-645.
7. Bringi, V. N., V. Chandrasekar, J. Hubbert, E. Gorgucci, W. L. Randeu, and M. Schoenhuber, 2003: Raindrop size distribution in different climatic regimes from disdrometer and dual-polarized radar analysis. J. Atmos. Sci., 60, 354-365.
8. Cao, Q., G. Zhang, E. Brandes, T. Schuur, A. Ryzhkov, and K. Ikeda, 2008: Analysis of video disdrometer and polarimetric radar data to characterize rain microphysics in Oklahoma. J. Appl. Meteor., 47, 2238-2255.
9. Chandrasekar, V., and V. N. Bringi, 1987: Simulation of radar reflectivity and surface measurements of rainfall. J. Atmos. Oceanic Technol.,4, 464-478.
10. Gertzman, H. S., and D. Atlas, 1977: Sampling errors in the measurement of rain and hail parameters. J. Geophys. Res., 82, 4955-4966.
11. Haddad, Z. S., D. A. Short, S. L. Durden, E. Im, S. H. Hensley, M. B. Grable, and R. A: Black, 1997: A new parameterization of the rain drop size distribution. IEEE Trans. Geosci. Remote Sens., 35, 532-539.
12. Jameson, A. R., and A. B. Kostinski, 1998: Fluctuation properties of precipitation. Part II: Reconsideration of the meaning and measurement of raindrop size distributions. J. Atmos. Sci., 55, 283-294.
13. Joss, J., and A. Waldvogel, 1967: Ein Spektrograph für Niederschlagstropfen mit automatischer Auswertung (A spectrograph for raindrop size measurement with automatic classification). Pure Appl. Geophys., 68, 240-246.
14. Khvorostyanov, V. I., and J. A. Curry, 2008: Analytical solutions to the stochastic kinetic equation for liquid and ice particle size spectra. Part II: Large-size fraction in precipitating clouds. J. Atmos. Sci., 65, 2044-2063.
15. Kliche, D. V., P. L. Smith, and R. W. Johnson, 2008: L-moment estimators as applied to gamma drop size distributions. J. Appl. Meteor. Climatol., 47, 3117-3130.
16. Kozu, T., and K. Nakamura, 1991: Rain parameter estimation from dual-radar measurements combining reflectivity profile and path-integrated attenuation. J. Atmos. Oceanic Technol. 8, 259-270.
17. Kruger, A., and W. F. Krajewski, 2002: Two-dimensional video disdrometer: A description. J. Atmos. Oceanic Technol., 19, 602-617.
18. Moisseev, D. N., and V. Chandrasekar, 2007: Examination of μ - ∧ relation suggested for drop size distribution parameters. J. Atmos. Oceanic Technol. 24, 847-855.
19. Munchak, S. J., and A. Tokay, 2008. Retrieval of raindrop size distribution from simulated dual-frequency radar measurements. J. Appl. Meteor. Climatol., 47, 223-239.
20. Nešpor, V., W. F. Krajewski, and A. Kruger, 2000: Wind-induced error of raindrop size distribution measurement using a two-dimensional video disdrometer. J. Atmos. Oceanic Technol., 17, 1483-1492.
21. Ray, P. S., 1972: Broadband complex refractive indices of ice and water. Appl. Opt., 11, 1836-1844.
22. Ryzhkov, V. A., T. J. Schuur, D. W. Burgess, P. L. Heinselman, S. E. Giangrande, and D. S. Zrnić, 2005: The joint polarization experiment: Polarimetric rainfall measurements and hydrometeor classification. Bull. Amer. Meteor. Soc., 86, 809-824.
23. Seifert, A., 2005: On the shape-slope relation of drop size distributions in convective rain. J. Appl. Meteor., 44, 1146-1151.
24. Smith, J. A., 1993: Marked point process model distributions. J. Appl. Meteor., 32, 7-284-296.
25. Smith, P. L., 2003: Raindrop size distributions: Exponential or gamma - Does the difference matter? J. Appl. Meteor., 42, 1031-1034.
26. Smith, P. L., D. J. Musil, S. F. Weber, J. F. Spahn, F. N. Johnson, and W. R. Sand, 1976: Raindrop and hailstone size distributions inside hailstorms. Preprints, Int. Conf. on Cloud Physics, Boulder, CO, Amer. Meteor Soc., 252-257.
27. Smith, P. L., Z. Liu, and J. Joss, 1993: A study of sampling-variability effects in raindrop size observations. J. Appl. Meteor., 32, 1259-1269.
28. Smith, P. L., D. V. Kliche, and R. W. Johnson, 2005: The bias in moment estimators for parameters of drop-size distribution functions: Sampling from gamma distributions. Preprints, 32nd Conf. on Radar Meteorology, Albuquerque, NM, Amer. Meteor. Soc., 15R. 5. [Available online at http://ams.confex.com/ams/pdfpapers/97018.pdf.]
29. Testud, J., S. Oury, R. A. Black, P. Amayenc, and X. Dou, 2001: The concept of "normalized" distribution to describe raindrop spectra: A tool for cloud physics and remote sensing. J. Appl. Meteor., 40, 1118-1140.
30. Tokay, A., and D. A. Short, 1996: Evidence from tropical raindrop spectra of the origin of rain from stratiform versus convective clouds. J. Appl. Meteor., 35, 355-371.
31. Tokay, A., A. Kruger, and W. F. Krajewski, 2001: Comparison of drop size distribution measurements by impact and optical disdrometers. J. Appl. Meteor., 40, 2083-2097.
32. Ulbrich, C. W., 1983: Natural variations in the analytical form of the raindrop size distribution. J. Climate Appl. Meteor., 22, 1764-1775.
33. Ulbrich, C. W., and D. Atlas, 1998: Rainfall microphysics and radar properties: Analysis methods for drop size spectra. J. Appl. Meteor., 37, 912-923.
34. Vivekanandan, J., G. Zhang, and E. Brandes, 2004: Polarimetric radar rain estimators based on constrained gamma drop size distribution model. J. Appl. Meteor., 43, 217-230.
35. 0 jump of raindrop spectra. J. Atmos. Sci., 31, 1067-1078.
36. Wong, R. K. W., and N. Chidambaram, 1985: Gamma size distribution and stochastic sampling errors. J. Climate Appl. Meteor., 24, 568-579.
37. Zhang, G., J. Vivekanandan, and E. Brandes, 2001: A method for estimating rain rate and drop size distribution from polarimetric radar measurements. IEEE Trans. Geosci. Remote Sem., 39, 830-841.
38. Zhang, G., J. Vivekanandan, E. Brandes, R. Meneghini, and T. Kozu, 2003: The shape-slope relation in Gamma raindrop size distribution: Statistical error or useful information? J. Atmos. Oceanic Technol., 20, 1106-1119.
39. Zhang, G., J. Sun, and E. Brandes, 2006: Improving parameterization of rain microphysics with disdrometer and radar observations. J. Atmos. Sci., 63, 1273-1290.
40. Zhang, G., M. Xue, Q. Cao, and D. Dawson, 2008: Diagnosing the intercept parameter for exponential raindrop size distribution based on video disdrometer observations: Model development. J. Appl. Meteor. Climatol., 47, 2983-2992.
41. Zrnić, D. S., 1975: Simulation of weatherlike Doppler spectra and signals. J. Appl. Meteor., 14, 619-629.