Bulk Hydrometeor Classification and Quantification Using Polarimetric Radar Data: Synthesis of Relations

Abstract A new synthesis of information forming the foundation for rule-based systems to deduce dominant bulk hydrometeor types and amounts using polarimetric radar data is presented. The information is valid for a 10-cm wavelength and consists of relations that are based on an extensive list of previous and recent observational and modeling studies of polarimetric signatures of hydrometeors. The relations are expressed as boundaries and thresholds in a space of polarimetric radar variables. Thus, the foundation is laid out for identification of hydrometeor types (species), estimation of characteristics of hydrometeor species (size, concentrations, etc.), and quantification of bulk hydrometeor contents (amounts). A fuzzy classification algorithm that builds upon this foundation will be discussed in a forthcoming paper.

[1]  Jothiram Vivekanandan,et al.  Multiparameter Radar Modeling and Observations of Melting Ice , 1990 .

[2]  Nancy C. Knight,et al.  The Falling Behavior of Hailstones , 1970 .

[3]  A. Zahrai,et al.  The 10 cm wavelength polarimetric weather radar at NOAA's National Severe Storms Laboratory , 1994 .

[4]  V. N. Bringi,et al.  Differential radar scattering properties of model hail and mixed-phase hydrometeors , 1984 .

[5]  Arlen W. Huggins,et al.  The Direct Measurement of the Sizes, Shapes and Kinematics of Falling Hailstones , 1980 .

[6]  Timothy C. Hiett,et al.  An 11-cm Coherent Polarimetric Radar for Meteorological Research , 1993 .

[7]  Harry T. Ochs,et al.  Laboratory Measurements of Small Raindrop Distortion. Part I: Axis Ratios and Fall Behavior , 1991 .

[8]  Gaspare Galati,et al.  Computer simulation of weather radar signals , 1995, Simul. Pract. Theory.

[9]  Andrew G. Detwiler,et al.  Magnitude of Error Factors in Estimates of Snow-Particle Masses from Images , 1993 .

[10]  Kenneth Sassen,et al.  Ice Cloud Content from Radar Reflectivity , 1987 .

[11]  David L. Mitchell,et al.  Mass-Dimensional Relationships for Ice Particles and the Influence of Riming on Snowfall Rates , 1990 .

[12]  Dusan S. Zrnic,et al.  Three-body scattering produces precipitation signature of special diagnostic value , 1987 .

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

[14]  D. Jones,et al.  The Shape of Raindrops. , 1959 .

[15]  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 .

[16]  B. Ferrier,et al.  A Double-Moment Multiple-Phase Four-Class Bulk Ice Scheme. Part I: Description , 1994 .

[17]  J. W. F. Goddard,et al.  Identification of hydrometeors and other targets by dual‐polarization radar , 1984 .

[18]  T. Gal-Chen,et al.  A Method for the Initialization of the Anelastic Equations: Implications for Matching Models with Observations , 1978 .

[19]  Edward P. Lozowski,et al.  On the Aerodynamics of Spheroidal Hailstone Models , 1973 .

[20]  R. Gunn,et al.  THE TERMINAL VELOCITY OF FALL FOR WATER DROPLETS IN STAGNANT AIR , 1949 .

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

[22]  Jothiram Vivekanandan,et al.  Polarimetric radar modeling of mixtures of precipitation particles , 1993, IEEE Trans. Geosci. Remote. Sens..

[23]  V. Chandrasekar,et al.  Processing and Interpretation of Coherent Dual-Polarized Radar Measurements , 1993 .

[24]  V. N. Bringi,et al.  Multiparameter Radar and Aircraft Study of Raindrop Spectral Evolution in Warm-based Clouds , 1991 .

[25]  J. W. F. Goddard,et al.  Rain drop sizes and rainfall rate measured by dual-polarization radar , 1980, Nature.

[26]  Eugenio Gorgucci,et al.  Radar and Surface Measurement of Rainfall during CaPE: 26 July 1991 Case Study , 1995 .

[27]  Danièle Hauser,et al.  Retrieval of Cloud Water and Water Vapor Contents from Doppler Radar Data in a Tropical Squall Line , 1986 .

[28]  W. Cotton,et al.  Parameterization of ice crystal conversion processes due to vapor deposition for mesoscale models using double-moment basis functions. Part I: basic formulation and parcel model results , 1995 .

[29]  Stephen J. Lord,et al.  Role of a Parameterized Ice-Phase Microphysics in an Axisymmetric, Nonhydrostatic Tropical Cyclone Model , 1984 .

[30]  Paul L. Smith.  Equivalent Radar Reflectivity Factors for Snow and Ice Particles , 1984 .

[31]  Nancy C. Knight,et al.  Hailstone Shape Factor and Its Relation to Radar Interpretation of Hail , 1986 .

[32]  T. Bird,et al.  The BMRC/NCAR C-Band Polarimetric (C-POL) Radar System , 1998 .

[33]  D. S. Zrnić,et al.  Effect of Drop Oscillations on Spectral Moments and Differential Reflectivity Measurements , 1989 .

[34]  R. C. Srivastava,et al.  Snow Size Spectra and Radar Reflectivity , 1970 .

[35]  Jothiram Vivekanandan,et al.  Multiparameter Radar Measurements in Colorado Convective Storms. Part II: Hail Detection Studies , 1986 .

[36]  Gerald M. Heymsfield,et al.  Microphysical and radiative characteristics of convective clouds during COHMEX , 1991 .

[37]  David R. Longtin,et al.  Radar Backscattering by Large, Spongy Ice Oblate Spheroids , 1987 .

[38]  Sergey Y. Matrosov,et al.  Radar and Radiation Properties of Ice Clouds , 1995 .

[39]  Lawrence D. Carey,et al.  CSU-CHILL polarimetric radar measurements from a severe hail storm in eastern Colorado , 1998 .

[40]  Robert M. Rauber,et al.  A Mechanism for Giant Raindrop Formation in Warm, Shallow Convective Clouds , 1991 .

[41]  Dusan S. Zrnic,et al.  Potential uses of the differential propagation phase constant to estimate raindrop and hailstone size distributions , 1988 .

[42]  Paul H. Herzegh,et al.  Observing Precipitation through Dual-Polarization Radar Measurements , 1992 .

[43]  A. H. Auer,et al.  The Dimension of Ice Crystals in Natural Clouds , 1970 .

[44]  Julius Goldhirsh,et al.  Comparison of Simulated Rain Rates from Disdrometer Data Employing Polarimetric Radar Algorithms , 1989 .

[45]  A. Schroth,et al.  A C-Band Coherent Polarimetric Radar for Propagation and Cloud Physics Research , 1988 .

[46]  V. N. Bringi,et al.  Dual-Polarization observations of Microbursts Associated with Intense Convection: The 20 July Storm during the MIST Project , 1988 .

[47]  C. Kessinger,et al.  A Study of Thunderstorm Microphysics with Multiparameter Radar and Aircraft Observations , 1995 .

[48]  Alexander V. Ryzhkov,et al.  Advantages of Rain Measurements Using Specific Differential Phase , 1996 .

[49]  Roy Rasmussen,et al.  Melting and Shedding of Graupel and Hail. Part I: Model Physics , 1987 .

[50]  Louis J. Battan,et al.  Radar Observation of the Atmosphere , 1973 .

[51]  A. R. Jameson,et al.  An Interpretation of Circular Polarization Measurements Affected by Propagation Differential Phase Shift , 1988 .

[52]  V. N. Bringi,et al.  Multiparameter Radar Study of a Microburst: Comparison with Model Results , 1989 .

[53]  J. B. Mead,et al.  Polarimetric scattering from natural surfaces at 225 GHz , 1991 .

[54]  V. Chandrasekar,et al.  Polarimetric Measurements in a Severe Hailstorm , 1993 .

[55]  Robert A. Houze,et al.  Mesoscale Updraft Magnitude and Cloud-Ice Content Deduced from the Ice Budget of the Stratiform Region of a Tropical Cloud Cluster , 1984 .

[56]  E. Torlaschi,et al.  Circular polarization for precipitation measurement , 1984 .

[57]  V. Chandrasekar,et al.  Multiparameter Radar Observations of Time Evolution of Convective Storms: Evaluation of Water Budgets and Latent Heating Rates , 1998 .

[58]  Lawrence D. Carey,et al.  Electrical and multiparameter radar observations of a severe hailstorm , 1998 .

[59]  John Hubbert,et al.  Life Cycle and Precipitation Formation in a Hybrid-Type Hailstorm Revealed by Polarimetric and Doppler Radar Measurements , 1994 .

[60]  Andrew J. Heymsfield,et al.  Ice crystal terminal velocities. , 1972 .

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

[62]  K. Beard,et al.  A field study of raindrop oscillations. Part I: Observation of size spectra and evaluation of oscillation causes , 1996 .

[63]  John Hubbert,et al.  An Iterative Filtering Technique for the Analysis of Copolar Differential Phase and Dual-Frequency Radar Measurements , 1995 .

[64]  V. Chandrasekar,et al.  Dual multiparameter radar observations of intense convective storms: The 24 June 1992 case study , 1996 .

[65]  M. J. Murphy,et al.  Multiple-Parameter Radar Observations of Isolated Florida Thunderstorms during the Onset of Electrification , 1996 .

[66]  James Q. Feng,et al.  A Perturbation Model of Raindrop Oscillation Characteristics with Aerodynamic Effects , 1991 .

[67]  Y. Antar,et al.  On the relationship between the degree of preferred orientation in precipitation and dual‐polarization radar echo characteristics , 1987 .

[68]  Martin Hagen,et al.  Polarimetric radar studies of atmospheric ice particles , 1994, IEEE Trans. Geosci. Remote. Sens..

[69]  A. Shapiro,et al.  Single-Doppler Velocity Retrievals with Phoenix II Data: Clear Air and Microburst Wind Retrievals in the Planetary Boundary Layer , 1995 .

[70]  Roy Rasmussen,et al.  Multiparameter radar measurements in Colorado convective storms. Part I. Graupel melting studies , 1986 .

[71]  J. Vivekanandan,et al.  Multiparameter Radar And Microwave Radiative Transfer Modeling Of Nonspherical Atmospheric Ice Particles , 1990 .

[72]  Anthony J. Illingworth,et al.  The formation of rain in convective clouds , 1988, Nature.

[73]  G. Mccormick,et al.  The Backscatter Matrix of Ice Samples: Its Relation to the Identification of Hail by Radar , 1979 .

[74]  Venkatramani Balaji,et al.  Remote Sensing of Hail with a Dual Linear Polarization Radar , 1986 .

[75]  M. English,et al.  A Relationship Between Hailstone Concentration and Size. , 1983 .

[76]  T. A. Seliga,et al.  Radar polarimetric backscattering properties of conical Graupel , 1984 .

[77]  David L. Mitchell,et al.  A Model Predicting the Evolution of Ice Particle Size Spectra and Radiative Properties of Cirrus Clouds. Part I: Microphysics. , 1994 .

[78]  Kenneth C. Young,et al.  Microphysical Processes in Clouds , 1993 .

[79]  Narayanaswamy Balakrishnan,et al.  Polarimetric signatures in the stratiform region of a mesoscale convective system , 1993 .

[80]  K. Jayaweera,et al.  Fall velocities of plate‐like and columnar ice crystals , 1969 .

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

[82]  G ThomasonJW,et al.  Density and size distribution of aggregating snow particles inferred from coincident aircraft and radar observations. , 1995 .

[83]  Sergey Y. Matrosov,et al.  Estimation of Ice Hydrometeor Types and Shapes from Radar Polarization Measurements , 1996 .

[84]  Robert E. McIntosh,et al.  Classification of particles in stratiform clouds using the 33 and 95 GHz polarimetric cloud profiling radar system (CPRS) , 1997, IEEE Trans. Geosci. Remote. Sens..

[85]  V. N. Bringi,et al.  Analysis of aircraft hydrometeor spectra and differential reflectivity (ZDR) radar measurements during the Cooperative Convective Precipitation Experiment , 1984 .

[86]  V. Chandrasekar,et al.  Time-varying ice crystal orientation in thunderstorms observed with multiparameter radar , 1996, IEEE Trans. Geosci. Remote. Sens..

[87]  A. R. Jameson,et al.  Raindrop Axial Ratios , 1982 .

[88]  J. Mendel.  Fuzzy logic systems for engineering: a tutorial , 1995, Proc. IEEE.

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

[90]  H. D. Orville,et al.  Bulk Parameterization of the Snow Field in a Cloud Model , 1983 .

[91]  P. Meischner,et al.  Bright Band Observations with Radar and Aircraft , 1993 .

[92]  Sergey Y. Matrosov,et al.  Identification of Hydrometeors with Elliptical and Linear Polarization Ka-Band Radar , 1997 .

[93]  V. Chandrasekar,et al.  Error Structure of Multiparameter Radar and Surface Measurements of Rainfall. Part III : Specific Differential Phase , 1990 .

[94]  D. Zrnic,et al.  Doppler Radar and Weather Observations , 1984 .

[95]  Tsutomu Takahashi,et al.  Precipitation Mechanisms of Cumulonimbus Clouds at Pohnpei, Micronesia , 1993 .

[96]  Philip B. Bedient,et al.  Estimation of Rainfall for Flood Prediction from WSR-88D Reflectivity: A Case Study, 17–18 October 1994* , 1998 .

[97]  A. R. Jameson.  Deducing the Microphysical Character of Precipitation from Multiple-Parameter Radar Polarization Measurements , 1985 .

[98]  M. Sachidananda,et al.  ZDR measurement considerations for a fast scan capability radar , 1985 .

[99]  J. W. F. Goddard,et al.  Detection of hail by dual-polarization radar , 1986, Nature.

[100]  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..

[101]  Roy Rasmussen,et al.  A Wind Tunnel and Theoretical Study on the Melting Behavior of Atmospheric Ice Particles: III. Experiment and Theory for Spherical Ice Particles of Radius > 500 μm , 1984 .

[102]  G. Mccormick,et al.  Ku-band and S-band observations of the differential propagation constant in snow , 1976 .

[103]  Dusan S. Zrnic,et al.  Workshop on Weather Radar Polarimetry for Research and Operational Applications , 1995 .

[104]  J. Marshall,et al.  THE DISTRIBUTION OF RAINDROPS WITH SIZE , 1948 .

[105]  P. Meischner,et al.  Advanced weather radar systems in Europe : The COST 75 action , 1997 .

[106]  Juanzhen Sun,et al.  Comparison of Thermodynamic Retrieval by the Adjoint Method with the Traditional Retrieval Method , 1996 .

[107]  Eyal Amitai,et al.  Classification of Rain Regimes by the Three-Dimensional Properties of Reflectivity Fields , 1995 .

[108]  Alexander V. Ryzhkov,et al.  Cloud Microphysics Retrieval Using S-Band Dual-Polarization Radar Measurements , 1999 .

[109]  Leslie R. Lemon,et al.  The Radar “Three-Body Scatter Spike”: An Operational Large-Hail Signature , 1998 .

[110]  Peter V. Hobbs,et al.  Fall speeds and masses of solid precipitation particles , 1974 .

[111]  A. Waldvogel,et al.  Criteria for the Detection of Hail Cells , 1979 .

[112]  Chris G. Collier,et al.  Quantitative precipitation forecasting , 2000 .

[113]  J. W. Conway,et al.  A Study of Embryo Production and Hail Growth Using Dual-Doppler and Multiparameter Radars , 1993 .

[114]  Peter V. Hobbs,et al.  The Mesoscale and Microscale Structure and Organization of Clouds and Precipitation in Midlatitude Cyclones. II: Warm-Frontal Clouds , 1980 .

[115]  Alexander V. Ryzhkov,et al.  Considerations for Polarimetric Upgrades to Operational WSR-88D Radars , 2000 .

[116]  Hartmut Höller,et al.  Examples of Polarimetric C-Band Radar Measurements from Convective Storms during CLEOPATRA , 1993 .

[117]  Hartmut Höller,et al.  Multiparameter Radar Characterization of a Melting Layer Compared with in situ Measurements , 1991 .

[118]  Sergey Y. Matrosov.  Theoretical study of radar polarization parameters obtained from cirrus clouds , 1991 .

[119]  Jerry M. Straka.  Representing Moisture Processes in Mesoscale Numerical Models , 1994 .

[120]  E. Kessler.  On the distribution and continuity of water substance in atmospheric circulations , 1969 .

[121]  K. Aydin,et al.  A computational study of polarimetric radar observables in hail , 1990, IEEE Transactions on Geoscience and Remote Sensing.

[122]  W. Frank,et al.  Simulation of Tropical Convective Systems. Part I: A Cumulus Parameterization , 1987 .

[123]  Alexander V. Ryzhkov,et al.  Polarimetric method for ice water content determination , 1996 .

[124]  Chengxian Tang,et al.  Relationships between IWC and Polarimetric Radar Measurands at 94 and 220 GHz for Hexagonal Columns and Plates , 1997 .

[125]  Jean-Pierre Aubagnac,et al.  The lightning activity of a hailstorm as a function of changes in its microphysical characteristics inferred from polarimetric radar observations , 1997 .

[126]  James G. Wieler,et al.  Radar Determination of Snowfall Rate and Accumulation , 1985 .

[127]  Roland List,et al.  Free-Fall Behavior of Planar Snow Crystals, Conical Graupel and Small Hail , 1971 .

[128]  V. N. Bringi,et al.  Evolution of a Florida Thunderstorm during the Convection and Precipitation/Electrification Experiment: The Case of 9 August 1991 , 1997 .

[129]  P. A. Watson,et al.  Application of dual linearly polarized radar data to prediction of microwave path attenuation at 10–30 GHz , 1984 .