Comparison of Polarimetric Radar Drop Size Distribution Retrieval Algorithms

Abstract Recently, two physically based algorithms, the “beta” (β) method and the “constrained-gamma” method, have been proposed for retrieving the governing parameters of the gamma drop size distribution (DSD) from polarimetric radar measurements. The β method treats the drop axis ratio as a variable and computes drop shape and DSD parameters from radar reflectivity (Z), differential reflectivity (ZDR), and specific differential phase (KDP). The constrained-gamma method assumes that the axis ratio relation is fixed and computes DSD parameters from reflectivity, differential reflectivity, and an empirical relation between the DSD slope and shape parameters. In this paper, the two approaches are evaluated by comparing retrieved rain DSD parameters with disdrometer observations and examining derived fields for consistency. Error effects on the β method retrievals are analyzed. The β approach is found to be sensitive to errors in KDP and to be inconsistent with observations. Large retrieved β values are foun...

[1]  Alexander V. Ryzhkov,et al.  Assessment of Rainfall Measurement That Uses Specific Differential Phase , 1996 .

[2]  Carlton W. Ulbrich,et al.  Path- and Area-Integrated Rainfall Measurement by Microwave Attenuation in the 1–3 cm Band , 1977 .

[3]  Ziad S. Haddad,et al.  A new parametrization of the rain drop size distribution , 1997, IEEE Trans. Geosci. Remote. Sens..

[4]  Guifu Zhang,et al.  Polarimetric Radar Estimators Based on a Constrained Gamma Drop Size Distribution Model , 2004 .

[5]  Guifu Zhang,et al.  Experiments in Rainfall Estimation with a Polarimetric Radar in a Subtropical Environment , 2002 .

[6]  H. R. Pruppacher,et al.  A wind tunnel investigation of the internal circulation and shape of water drops falling at terminal velocity in air , 1970 .

[7]  Susan K. Avery,et al.  Radar reflectivity calibration using differential propagation phase measurement , 2003 .

[8]  Eugenio Gorgucci,et al.  Rainfall Estimation from Polarimetric Radar Measurements: Composite Algorithms Immune to Variability in Raindrop Shape–Size Relation , 2001 .

[9]  Robert A. Black,et al.  The Concept of “Normalized” Distribution to Describe Raindrop Spectra: A Tool for Cloud Physics and Cloud Remote Sensing , 2001 .

[10]  V. Chandrasekar,et al.  Axis ratios and oscillations of raindrops , 1988 .

[11]  C. Ulbrich Natural Variations in the Analytical Form of the Raindrop Size Distribution , 1983 .

[12]  V. Chandrasekar,et al.  Simulation of Radar Reflectivity and Surface Measurements of Rainfall , 1987 .

[13]  Eugenio Gorgucci,et al.  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 , 2002 .

[14]  Guifu Zhang,et al.  The Shape–Slope Relation in Observed Gamma Raindrop Size Distributions: Statistical Error or Useful Information? , 2003 .

[15]  V. N. Bringi,et al.  Rain-Rate Estimation in the Presence of Hail Using S-Band Specific Differential Phase and Other Radar Parameters , 1995 .

[16]  V. Chandrasekar,et al.  Raindrop axis ratios and size distributions in Florida rainshafts: an assessment of multiparameter radar algorithms , 1998, IEEE Trans. Geosci. Remote. Sens..

[17]  Guifu Zhang,et al.  An Evaluation of a Drop Distribution-Based Polarimetric Radar Rainfall Estimator , 2003 .

[18]  Karen Andsager,et al.  Laboratory Measurements of Axis Ratios for Large Raindrops , 1999 .

[19]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[20]  Guifu Zhang,et al.  Drop Size Distribution Retrieval with Polarimetric Radar: Model and Application , 2004 .

[21]  K. Beard,et al.  A New Model for the Equilibrium Shape of Raindrops , 1987 .

[22]  Rodney J. Kubesh,et al.  Laboratory Measurements of Small Raindrop Distortion. Part 2: Oscillation Frequencies and Modes , 1991 .

[23]  P. T. Willis,et al.  Functional fits to some observed drop size distributions and parameterization of rain , 1984 .

[24]  Carlton W. Ulbrich,et al.  Rainfall Microphysics and Radar Properties: Analysis Methods for Drop Size Spectra , 1998 .

[25]  Guifu Zhang,et al.  A method for estimating rain rate and drop size distribution from polarimetric radar measurements , 2001, IEEE Trans. Geosci. Remote. Sens..

[26]  N. Balakrishnan,et al.  Estimation of Rain and Hail Rates in Mixed-Phase Precipitation , 1990 .

[27]  Toshiaki Kozu,et al.  Rainfall Parameter Estimation from Dual-Radar Measurements Combining Reflectivity Profile and Path-integrated Attenuation , 1991 .

[28]  H. Pruppacher,et al.  A Semi-Empirical Determination of the Shape of Cloud and Rain Drops , 1971 .

[29]  Anthony J. Illingworth,et al.  The Need to Represent Raindrop Size Spectra as Normalized Gamma Distributions for the Interpretation of Polarization Radar Observations , 2002 .

[30]  A. W. Green,et al.  An Approximation for the Shapes of Large Raindrops , 1975 .

[31]  V. N. Bringi,et al.  Potential Use of Radar Differential Reflectivity Measurements at Orthogonal Polarizations for Measuring Precipitation , 1976 .

[32]  Eugenio Gorgucci,et al.  Measurement of Mean Raindrop Shape from Polarimetric Radar Observations , 2000 .

[33]  Alexander V. Ryzhkov,et al.  Comparison of Dual-Polarization Radar Estimators of Rain , 1995 .

[34]  Eugenio Gorgucci,et al.  Estimation of Raindrop Size Distribution Parameters from Polarimetric Radar Measurements , 2002 .