Rainfall Estimation with an Operational Polarimetric C-Band Radar in the United Kingdom: Comparison with a Gauge Network and Error Analysis

V. N. Bringi Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

Search for other papers by V. N. Bringi in
Current site
Google Scholar
PubMed
Close
,
M. A. Rico-Ramirez Department of Civil Engineering, University of Bristol, Bristol, United Kingdom

Search for other papers by M. A. Rico-Ramirez in
Current site
Google Scholar
PubMed
Close
, and
M. Thurai Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

Search for other papers by M. Thurai in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The estimate of rainfall using data from an operational dual-polarized C-band radar in convective storms in southeast United Kingdom is compared against a network of gauges. Four different rainfall estimators are considered: reflectivity–rain-rate (ZR) relation, with and without correcting for rain attenuation; a composite estimator, based on (i) ZR, (ii) R(Z, Zdr), and (iii) R(Kdp); and exclusively R(Kdp). The various radar rain-rate estimators are developed using Joss disdrometer data from Chilbolton, United Kingdom. Hourly accumulations over radar pixels centered on the gauge locations are compared, with approximately 2500 samples available for gauge hourly accumulations > 0.2 mm. Overall, the composite estimator performed the “best” based on robust statistical measures such as mean absolute error, the Nash–Sutcliffe coefficient, and mean bias, at all rainfall thresholds (>0.2, 1, 3, or 6 mm) with improving measures at the higher thresholds of >3 and >6 mm (higher rain rates). Error variance separation is carried out by estimating the gauge representativeness error using 4 yr of gauge data from the Hydrological Radar Experiment. The proportion of variance of the radar-to-gauge differences that could be explained by the gauge representativeness errors ranged from 20% to 55% (for the composite rain-rate estimator). The radar error is found to decrease from approximately 70% at the lower rain rates to 20% at the higher rain rates. The composite rain-rate estimator performed as well as can be expected from error variance analysis, at mean hourly rain rates of about 5 mm h−1 or larger with mean bias of ~10% (underestimate).

Corresponding author address: V. N. Bringi, Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO 80523-1373. E-mail: bringi@engr.colostate.edu

Abstract

The estimate of rainfall using data from an operational dual-polarized C-band radar in convective storms in southeast United Kingdom is compared against a network of gauges. Four different rainfall estimators are considered: reflectivity–rain-rate (ZR) relation, with and without correcting for rain attenuation; a composite estimator, based on (i) ZR, (ii) R(Z, Zdr), and (iii) R(Kdp); and exclusively R(Kdp). The various radar rain-rate estimators are developed using Joss disdrometer data from Chilbolton, United Kingdom. Hourly accumulations over radar pixels centered on the gauge locations are compared, with approximately 2500 samples available for gauge hourly accumulations > 0.2 mm. Overall, the composite estimator performed the “best” based on robust statistical measures such as mean absolute error, the Nash–Sutcliffe coefficient, and mean bias, at all rainfall thresholds (>0.2, 1, 3, or 6 mm) with improving measures at the higher thresholds of >3 and >6 mm (higher rain rates). Error variance separation is carried out by estimating the gauge representativeness error using 4 yr of gauge data from the Hydrological Radar Experiment. The proportion of variance of the radar-to-gauge differences that could be explained by the gauge representativeness errors ranged from 20% to 55% (for the composite rain-rate estimator). The radar error is found to decrease from approximately 70% at the lower rain rates to 20% at the higher rain rates. The composite rain-rate estimator performed as well as can be expected from error variance analysis, at mean hourly rain rates of about 5 mm h−1 or larger with mean bias of ~10% (underestimate).

Corresponding author address: V. N. Bringi, Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO 80523-1373. E-mail: bringi@engr.colostate.edu
Save
  • Anagnostou, E. N., Krajewski W. F. , and Smith J. , 1999: Uncertainty quantification of mean-areal radar-rainfall estimate. J. Atmos. Oceanic Technol., 16, 206215.

    • Search Google Scholar
    • Export Citation
  • Anagnostou, E. N., Anagnostou M. N. , Kruger A. , Krajewski W. F. , and Miriovsky B. , 2004: High-resolution rainfall estimation from X-band polarimetric radar measurements. J. Hydrometeor., 5, 106128.

    • Search Google Scholar
    • Export Citation
  • Austin, G., Shucksmith P. , and Sutherland-Stacey L. , 2010: The characterization of radar space-time sampling errors for different meteorological situations. Proc. Sixth European Conf. on Radar in Meteorology and Hydrology, Sibiu, Romania, ERAD, 3 pp.

    • Search Google Scholar
    • Export Citation
  • Beard, K. V., and Kubesh R. J. , 1991: Laboratory measurements of small raindrop distortion. Part 2: Oscillation frequencies and modes. J. Atmos. Sci., 48, 22452264.

    • Search Google Scholar
    • Export Citation
  • Beard, K. V., Bringi V. N. , and Thurai M. , 2010: A new understanding of raindrop shape. Atmos. Res., 97, 396415.

  • Brandes, E. A., Zhang G. , and Vivekanandan J. , 2003: An evaluation of a drop distribution–based polarimetric radar rainfall estimator. J. Appl. Meteor., 42, 652660.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., and Chandrasekar V. , 2001: Polarimetric Doppler Weather Radar: Principles and Applications. Cambridge University Press, 636 pp.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., Huang G.-J. , Chandrasekar V. , and Keenan T. D. , 2001a: An areal rainfall estimator using differential propagation phase: Evaluation using a C-band radar and a dense gauge network in the tropics. J. Atmos. Oceanic Technol., 18, 18101818.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., Keenan T. D. , and Chandrasekar V. , 2001b: Correcting C-band radar reflectivity and differential reflectivity data for rain attenuation: A self-consistent method with constraints. IEEE Trans. Geosci. Remote Sens., 39, 19061915.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., Chandrasekar V. , Hubbert J. , Gorgucci E. , Randeu W. L. , and Schoenhuber M. , 2003: Raindrop size distribution in different climatic regimes from disdrometer and dual-polarized radar analysis. J. Atmos. Sci., 60, 354365.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., Thurai M. , Nakagawa K. , Huang G.-J. , Kobayashi T. , Adachi A. , Hanado H. , and Sekizawa S. , 2006: Rainfall estimation from C-band polarimetric radar in Okinawa, Japan: Comparisons with 2D-video disdrometer and 400 MHz wind profiler. J. Meteor. Soc. Japan, 84, 705724.

    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., Williams C. R. , Thurai M. , and May P. T. , 2009: Using dual-polarized radar and dual-frequency profiler for DSD characterization: A case study from Darwin, Australia. J. Atmos. Oceanic Technol., 26, 21072122.

    • Search Google Scholar
    • Export Citation
  • Carey, L. D., Rutledge S. A. , Ahijevych D. A. , and Keenan T. D. , 2000: Correcting propagation effects in C-band polarimetric radar observations of tropical convection using differential propagation phase. J. Appl. Meteor., 39, 14051433.

    • Search Google Scholar
    • Export Citation
  • Ciach, G. J., and Krajewski W. F. , 1999: On the estimation of radar rainfall error variance. Adv. Water Resour., 22, 585595.

  • Ciach, G. J., Krajewski W. F. , and Villarini G. , 2007: Product-error-driven uncertainty model for probabilistic quantitative precipitation estimation with NEXRAD data. J. Hydrometeor., 8, 13251347.

    • Search Google Scholar
    • Export Citation
  • Diss, S., Testud J. , Lavabre J. , Ribstein P. , Moreau E. , and Parent du Chatelet J. , 2009: Ability of a dual polarized X-band radar to estimate rainfall. Adv. Water Resour., 32, 975985.

    • Search Google Scholar
    • Export Citation
  • Fabry, F., Bellon A. , Duncan M. R. , and Austin G. L. , 1994: High resolution rainfall measurements by radar for very small basins: The sampling problem reexamined. J. Hydrol., 161, 415428.

    • Search Google Scholar
    • Export Citation
  • Figueras i Ventura, J., Kabeche F. , Fradon B. , Hogan R. , Boumahmoud A.-A. , Illingworth A. , and Tabary P. , 2010: Extensive evaluation of polarimetric quantitative precipitation estimations (QPE) in ideal and less ideal conditions. Proc. Sixth European Conf. on Radar in Meteorology and Hydrology, Sibiu, Romania, ERAS, 6 pp.

    • Search Google Scholar
    • Export Citation
  • Gebremichael, M., and Krajewski W. F. , 2004: Assessment of the statistical characterization of small-scale rainfall variability from radar: Analysis of TRMM ground validation datasets. J. Appl. Meteor., 43, 11801199.

    • Search Google Scholar
    • Export Citation
  • Gorgucci, E., Scarchilli G. , and Chandrasekar V. , 1996: Error structure of radar rainfall measurement error at C-band frequencies with dual-polarization algorithm for attenuation correction. J. Geophys. Res., 101, 26 46126 471.

    • Search Google Scholar
    • Export Citation
  • Gourley, J. J., Tabary P. , and Parent du Chatelet J. , 2006: Data quality of the Meteo-France C-Band polarimetric radar. J. Atmos. Oceanic Technol., 23, 13401356.

    • Search Google Scholar
    • Export Citation
  • Gourley, J. J., Tabary P. , and Parent du Chatelet J. , 2007: A fuzzy logic algorithm for the separation of precipitating from nonprecipitating echoes using polarimetric radar observations. J. Atmos. Oceanic Technol., 24, 14391451.

    • Search Google Scholar
    • Export Citation
  • Gu, J.-Y., Ryzhkov A. , Zhang P. , Neilley P. , Knight M. , Wolf B. , and Lee D.-I. , 2011: Polarimetric attenuation correction in heavy rain at C band. J. Appl. Meteor. Climatol., 50, 3958.

    • Search Google Scholar
    • Export Citation
  • Habib, E., and Krajewski W. F. , 2002: Uncertainty analysis of the TRMM ground-validation radar-rainfall products: Application to the TEFLUN-B field campaign. J. Appl. Meteor., 41, 558572.

    • Search Google Scholar
    • Export Citation
  • Hall, M. P. M., and Goddard J. W. F. , 1978: Variation with height of the statistics of radar reflectivity due to hydrometeors. Electron. Lett., 14, 224225.

    • Search Google Scholar
    • Export Citation
  • Harrison, D. L., Driscoll S. J. , and Kitchen M. , 2000: Improving precipitation estimates from weather radar using quality control and correction techniques. Meteor. Appl., 7, 135144.

    • Search Google Scholar
    • Export Citation
  • Harrison, D. L., Scovell R. W. , and Kitchen M. , 2009: High-resolution precipitation estimates for hydrological uses. Proc. ICE Water Manage., 162, 125135.

    • Search Google Scholar
    • Export Citation
  • Hogan, R. J., 2007: A variational scheme for retrieving rainfall rate and hail reflectivity fraction from polarization radar. J. Appl. Meteor. Climatol., 46, 15441564.

    • Search Google Scholar
    • Export Citation
  • Huang, G.-J., Bringi V. N. , and Thurai M. , 2008: Orientation angle distributions of drops after an 80-m fall using a 2D video disdrometer. J. Atmos. Oceanic Technol., 25, 17171723.

    • Search Google Scholar
    • Export Citation
  • Hubbert, J., and Bringi V. N. , 1995: An iterative filtering technique for the analysis of copolar differential phase and dual-frequency radar measurements. J. Atmos. Oceanic Technol., 12, 643648.

    • Search Google Scholar
    • Export Citation
  • Jameson, A. R., 1992: The effect of temperature on attenuation-correction schemes in rain using polarization propagation differential phase shift. J. Appl. Meteor., 31, 11061118.

    • Search Google Scholar
    • Export Citation
  • Joss, J., and Waldvogel A. , 1967: A raindrop spectrograph with automatic analysis. Pure Appl. Geophys., 68, 240246.

  • Keenan, T. D., Glasson K. , Cummings F. , Bird T. S. , Keeler J. , and Lutz J. , 1998: The BMRC/NCAR C-Band Polarimetric (C-POL) radar system. J. Atmos. Oceanic Technol., 15, 871886.

    • Search Google Scholar
    • Export Citation
  • Keenan, T. D., Carey L. D. , Zrnić D. S. , and May P. T. , 2001: Sensitivity of 5-cm wavelength polarimetric radar variables to raindrop axial ratio and drop size distribution. J. Appl. Meteor., 40, 526545.

    • Search Google Scholar
    • Export Citation
  • Kitchen, M., and Blackall R. M. , 1992: Representativeness errors in comparisons between radar and gage measurements of rainfall. J. Hydrol., 134, 1333.

    • Search Google Scholar
    • Export Citation
  • Krajewski, W. F., and Smith J. A. , 2002: Radar hydrology: Rainfall estimation. Adv. Water Resour., 25, 13871394.

  • Krajewski, W. F., Ciach G. J. , and Habib E. , 2003: An analysis of small-scale rainfall variability in different climatic regimes. Hydrol. Sci., 48, 151162.

    • Search Google Scholar
    • Export Citation
  • Le Bouar, E., Testud J. , and Keenan T. D. , 2001: Validation of the rain profiling algorithm “ZPHI” from the C-band polarimetric weather radar in Darwin. J. Atmos. Oceanic Technol., 18, 18191837.

    • Search Google Scholar
    • Export Citation
  • Matrosov, S. Y., 2010: Evaluating polarimetric X-band radar rainfall estimators during HMT. J. Atmos. Oceanic Technol., 27, 122134.

  • May, P. T., Keenan T. D. , Zrnić D. S. , Carey L. D. , and Rutledge S. A. , 1999: Polarimetric radar measurements of tropical rain at a 5-cm wavelength. J. Appl. Meteor., 38, 750765.

    • Search Google Scholar
    • Export Citation
  • Moore, R. J., Jones D. A. , Cox D. R. , and Isham V. S. , 2000: Design of the HYREX raingage network. Hydrol. Earth Syst. Sci., 4, 523530.

    • Search Google Scholar
    • Export Citation
  • Moreau, E., Testud J. , and Le Bouar E. , 2009: Rainfall spatial variability observed by X-band weather radar and its implication for the accuracy of rainfall estimates. Adv. Water Resour., 32, 10111019.

    • Search Google Scholar
    • Export Citation
  • Nash, J. E., and Sutcliffe J. V. , 1970: River flow forecasting through conceptual models part I—A discussion of principles. J. Hydrol., 10, 282290.

    • Search Google Scholar
    • Export Citation
  • Rico-Ramirez, M. A., and Cluckie I. D. , 2008: Classification of ground clutter and anomalous propagation using dual-polarization weather radar. IEEE Trans. Geosci. Remote Sens., 46, 18921904.

    • Search Google Scholar
    • Export Citation
  • Ryzhkov, A., Zrnić D. S. , and Fulton R. , 2000: Areal rainfall estimates using differential phase. J. Appl. Meteor., 39, 263268.

  • Ryzhkov, A., Giangrande S. E. , and Schuur T. J. , 2005a: Rainfall estimation with a polarimetric prototype of WSR-88D. J. Appl. Meteor., 44, 502515.

    • Search Google Scholar
    • Export Citation
  • Ryzhkov, A., Schuur T. J. , Burgess D. W. , Heinselman P. L. , Giangrande S. E. , and Zrnic D. S. , 2005b: The Joint Polarization Experiment: Polarimetric rainfall measurements and hydrometeor classification. Bull. Amer. Meteor. Soc., 86, 809824.

    • Search Google Scholar
    • Export Citation
  • Sheppard, B. E., and Joe P. I. , 1994: Comparison of raindrop size distribution measurements by a Joss–Waldvogel disdrometer, a PMS 2DG spectrometer, and a POSS Doppler radar. J. Atmos. Oceanic Technol., 11, 874887.

    • Search Google Scholar
    • Export Citation
  • Silvestro, F., Rebora N. , and Ferraris L. , 2009: An algorithm for real-time rainfall rate estimation by using polarimetric radar: RIME. J. Hydrometeor., 10, 227240.

    • Search Google Scholar
    • Export Citation
  • Smith, J. A., Baeck M. , Meierdiercks K. L. , Miller A. J. , and Krajewski W. F. , 2007: Radar rainfall estimation for flash flood forecasting in small urban watersheds. Adv. Water Resour., 30, 20872097.

    • Search Google Scholar
    • Export Citation
  • Sugier, J., and Tabary P., 2006: Evaluation of dual-polarisation technology at C-band for operational weather radar network. EUMETNET Opera 2 Rep., 44 pp. [Available online at http://www.knmi.nl/opera/opera2/OPERA_2006_05_Evaluation_of_dual_polarization_technology.pdf.]

    • Search Google Scholar
    • Export Citation
  • Tan, J., Goddard J. W. F. , and Thurai M. , 1995: Applications of differential propagation phase in polarisation-diversity radars at S- and C-band. Proc. Int. Conf. on Antennas and Propagation, Eindhoven, Netherlands, IEE, 407.

    • Search Google Scholar
    • Export Citation
  • Testud, J., Le Bouar E. , Obligis E. , and Ali-Mehenni M. , 2000: The rain profiling algorithm applied to polarimetric weather radar. J. Atmos. Oceanic Technol., 17, 332356.

    • Search Google Scholar
    • Export Citation
  • Testud, J., Oury S. , Black R. A. , Amayenc P. , and Dou X. , 2001: The concept of “normalized” distribution to describe raindrop spectra: A tool for cloud physics and cloud remote sensing. J. Appl. Meteor., 40, 11181140.

    • Search Google Scholar
    • Export Citation
  • Thompson, R., Illingworth A. J. , and Kitchen M. , 2008: Testing an algorithm for more accurate rainfall rates from an operational polarization radar. Proc. Fifth European Conf. on Radar in Meteorology and Hydrology, Helsinki, Finland, ERAD, 4 pp.

    • Search Google Scholar
    • Export Citation
  • Thurai, M., and Bringi V. N. , 2005: Drop axis ratios from 2D video disdrometer. J. Atmos. Oceanic Technol., 22, 963975.

  • Thurai, M., Huang G.-J. , Bringi V. N. , Randeu W. L. , and Schönhuber M. , 2007: Drop shapes, model comparisons, and calculations of polarimetric radar parameters in rain. J. Atmos. Oceanic Technol., 24, 10191032.

    • Search Google Scholar
    • Export Citation
  • Villarini, G., Mandapaka P. V. , Krajewski W. F. , and Moore R. J. , 2008: Rainfall and sampling uncertainties: A rain gauge perspective. J. Geophys. Res., 113, D11102, doi:10.1029/2007JD009214.

    • Search Google Scholar
    • Export Citation
  • Vulpiani, G., Tabary P. , Parent du Chatelet J. , and Marzano F. S. , 2008: Comparison of advanced radar polarimetric techniques for operational attenuation correction at C band. J. Atmos. Oceanic Technol., 25, 11181135.

    • Search Google Scholar
    • Export Citation
  • Williams, C. R., Kruger A. , Gage K. S. , Tokay A. , Cifelli R. , Krajewski W. F. , and Kummerow C. , 2000: Comparison of simultaneous rain drop size distributions estimated from two surface disdrometers and a UHF profiler. Geophys. Res. Lett., 27, 17631766.

    • Search Google Scholar
    • Export Citation
  • Wood, S. J., Jones D. A. , and Moore R. J. , 2000: Accuracy of rainfall measurement for scales of hydrological interest. Hydrol. Earth Syst. Sci., 4, 531543.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 1293 638 80
PDF Downloads 743 277 60