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Surveys in Geophysics

, Volume 31, Issue 1, pp 107–129 | Cite as

Review of the Different Sources of Uncertainty in Single Polarization Radar-Based Estimates of Rainfall

  • Gabriele Villarini
  • Witold F. Krajewski
Article

Abstract

It is well acknowledged that there are large uncertainties associated with radar-based estimates of rainfall. Numerous sources of these errors are due to parameter estimation, the observational system and measurement principles, and not fully understood physical processes. Propagation of these uncertainties through all models for which radar-rainfall are used as input (e.g., hydrologic models) or as initial conditions (e.g., weather forecasting models) is necessary to enhance the understanding and interpretation of the obtained results. The aim of this paper is to provide an extensive literature review of the principal sources of error affecting single polarization radar-based rainfall estimates. These include radar miscalibration, attenuation, ground clutter and anomalous propagation, beam blockage, variability of the ZR relation, range degradation, vertical variability of the precipitation system, vertical air motion and precipitation drift, and temporal sampling errors. Finally, the authors report some recent results from empirically-based modeling of the total radar-rainfall uncertainties. The bibliography comprises over 200 peer reviewed journal articles.

Keywords

Rainfall Radar remote sensing Uncertainty Estimation 

Notes

Acknowledgments

The authors acknowledge many helpful discussions with Dr. Grzegorz Ciach and Pradeep Mandapaka. The first author was supported by NASA Headquarters under the Earth Science Fellowship Grant NNX06AF23H while a graduate student at the University of Iowa. The first author would also like to thank Mrs. C. Dewey at the University of Iowa for her help. The authors wish to thank four anonymous reviewers for their helpful comments.

References

  1. Alberoni PP, Andersson T, Mezzasalma P, Michelson DB, Nanni S (2001) Use of the vertical reflectivity profile for identification of anomalous propagation. Meteorol Appl 8:257–266Google Scholar
  2. Anagnostou EN, Krajewski WF, Smith J (1999) Uncertainty quantification of mean-areal radar-rainfall estimates. J Atmos Ocean Technol 16:206–215Google Scholar
  3. Anagnostou EN, Morales CA, Dinku T (2001) The use of TRMM precipitation radar observations in determining ground radar calibration biases. J Atmos Ocean Technol 18:616–628Google Scholar
  4. Anagnostou MN, Anagnostou EN, Vivekanandan J (2006) Correction for rain path specific and differential attenuation of X-band dual-polarization observations. IEEE Trans Geosci Remote Sens 44:2470–2480Google Scholar
  5. Andrieu H, Creutin JD (1995) Identification of vertical profiles of radar reflectivity for hydrological applications using an inverse method. Part I: Formulation. J Appl Meteorol 34:225–239Google Scholar
  6. Andrieu H, Delrieu G, Creutin JD (1995) Identification of vertical profiles of radar reflectivity for hydrological applications using an inverse method. Part II: Sensitivity analysis and case study. J Appl Meteorol 34:240–259Google Scholar
  7. Andrieu H, Creutin JD, Delrieu G, Faure D (1997) Use of a weather radar for the hydrology of a mountainous area. 1. Radar measurement interpretation. J Hydrol 193:1–25Google Scholar
  8. Archibald E (2000) Enhanced clutter processing for the UK weather radar network. Phys Chem Earth (B) 25(10–12):823–828Google Scholar
  9. Atlas D (1990) Radar in meteorology. American Meteorological Society, BostonGoogle Scholar
  10. Atlas D (2002) Radar calibration: some simple approaches. Bull Am Meteorol Soc 83:1313–1316Google Scholar
  11. Atlas D, Banks HC (1951) The interpretation of microwave reflections from rainfall. J Meteorol 8:271–282Google Scholar
  12. Atlas D, Ulbrich CW (1977) Path-integrated and area-integrated rainfall measurement by microwave attenuation in 1–3 cm band. J Appl Meteorol 16:1322–1331Google Scholar
  13. Atlas D, Rosenfeld D, Wolff DB (1993) C-band attenuation by tropical rainfall in Darwin, Australia, using climatologically tuned Ze–R relations. J Appl Meteorol 32:426–430Google Scholar
  14. Atlas D, Ulbrich CW, Marks FD, Amitai E, Williams CR (1999) Systematic variation of drop size and radar-rainfall relations. J Geophys Res Atmos 104:6155–6169Google Scholar
  15. Auer AH (1994) Hail recognition through the combined use of radar reflectivity and cloud-top temperatures. Mon Weather Rev 122:2218–2221Google Scholar
  16. Austin PM (1987) Relation between measured radar reflectivity and surface rainfall. Mon Weather Rev 115:1053–1071Google Scholar
  17. Austin PM, Bemis AC (1950) A quantitative study of the “bright band” in radar precipitation echoes. J Meteorol 7:145–151Google Scholar
  18. Austin GL, Cluckie ID (2005) History of radar and radar meteorology. In: Knight DW, Shamseldin AY (eds) River basin modelling for flood risk mitigation. Taylor & Francis, UK, pp 157–170Google Scholar
  19. Baeck ML, Smith JA (1998) Rainfall estimation by the WSR-88D for heavy rainfall events. Weather Forecast 13:416–436Google Scholar
  20. Balakrishnan N, Zrnic DS, Goldhirsh J, Rowland J (1989) Comparison of simulated rain rates from disdrometer data employing polarimetric radar algorithms. J Atmos Ocean Technol 6:476–486Google Scholar
  21. Battan LJ (1973) Radar observation of the atmosphere. The University of Chicago Press, ChicagoGoogle Scholar
  22. Battan LJ (1976) Vertical air motion and the Z–R relation. J Appl Meteorol 15:1120–1121Google Scholar
  23. Bean BR, Dutton EJ (1968) Radio meteorology. National Bureau of Standards Monogr., No. 92. National Bureau of Standards, 435 ppGoogle Scholar
  24. Bech J, Codina B, Lorente J, Bebbington D (2003) The sensitivity of single polarization weather radar beam blockage correction to variability in the vertical refractivity gradient. J Atmos Ocean Technol 20:845–855Google Scholar
  25. Bech J, Codina B, Lorente J (2007a) Forecasting weather radar propagation conditions. Meteorol Atmos Phys 96:229–243Google Scholar
  26. Bech J, Gjertsen U, Haase G (2007b) Modelling weather radar beam propagation and topographical blockage at northern high latitudes. Quart J Royal Meteorol Soc 133:1191–1204Google Scholar
  27. Bechini R, Baldini L, Cremonini R, Gorgucci E (2008) Differential reflectivity calibration for operational radars. J Atmos Ocean Technol 25:1542–1555Google Scholar
  28. Bellon A, Lee G, Zawadzki I (2005) Error statistics of VPR corrections in stratiform precipitation. J Appl Meteorol 44:998–1015Google Scholar
  29. Bellon A, Lee G, Kilambi A, Zawadzki I (2007) Real-time comparisons of VPR-corrected daily rainfall estimates with a gauge mesonet. J Appl Meteorol Climatol 46:726–741Google Scholar
  30. Berenguer M, Zawadzki I (2008) A study of the error covariance matrix of radar rainfall estimates in stratiform rain. Weather Forecast 23:1085–1101Google Scholar
  31. Berenguer M, Sempere-Torres D, Corral C, Sanchez-Diezma R (2006) A fuzzy logic technique for identifying nonprecipitating echoes in radar scans. J Atmos Ocean Technol 23:1157–1180Google Scholar
  32. Berne A, Uijlenhoet R (2007) Path-averaged rainfall estimation using microwave links: uncertainty due to spatial rainfall variability. Geophys Res Lett 34:L07403. doi: 10.1029/2007GL029409
  33. Berne A, Delrieu G, Andrieu H (2005) Estimating the vertical structure of intense Mediterranean precipitation using two X-band weather radar systems. J Atmos Ocean Technol 22:1656–1675Google Scholar
  34. Borga M, Anagnostou EN, Krajewski WF (1997) A simulation approach for validation of a brightband correction method. J Appl Meteorol 36:1507–1518Google Scholar
  35. Bourrel L, Sauvageot H, Vidal JJ, Dartus D, Dupouyet JP (1994) Radar measurement of precipitation in cold mountainous areas: the Garonne basin. Hydrol Sci J-J Des Sci Hydrol 39:369–389Google Scholar
  36. Brandes EA (2000) Dual-polarization radar fundamentals and algorithm prospects, NEXRAD program report—operational support facility WSR-88D commerce-defence-transportation, May 2000 (Online). Available at http://www.roc.noaa.gov/app/sta/algorithm00.pdf
  37. Brandes EA, Vivekanandan J, Wilson JW (1999) A comparison of radar reflectivity estimates of rainfall from collocated radars. J Atmos Ocean Technol 16:1264–1272Google Scholar
  38. Brandes EA, Ryzhkov AV, Zrnic DS (2001) An evaluation of radar rainfall estimates from specific differential phase. J Atmos Ocean Technol 18:363–375Google Scholar
  39. Bringi VN, Chandrasekar V (2001) Polarimetric Doppler weather radar, principles and applications. Cambridge University Press, New YorkGoogle Scholar
  40. Bringi VN, Seliga TA, Aydin K (1984) Hail detection with a differential reflectivity radar. Science 225:1145–1147Google Scholar
  41. Bringi VN, Keenan TD, Chandrasekar V (2001) Correcting C-band radar reflectivity and differential reflectivity data for rain attenuation: a self-consistent method with constraints. IEEE Trans Geosci Remote Sens 39:1906–1915Google Scholar
  42. Brown RA, Lewis JM (2005) Path to NEXRAD - Doppler radar development at the National Severe Storms Laboratory. Bull Am Meteorol Soc 86:1459Google Scholar
  43. Brown RA, Wood VT, Barker TW (2002) Improved detection using negative elevation angles for mountaintop WSR-88Ds: simulation of KMSX near Missoula, Montana. Weather Forecast 17:223–237Google Scholar
  44. Brown RA, Flickinger BA, Forren E, Schultz DM, Sirmans D, Spencer PL, Wood VT, Ziegler CL (2005) Improved detection of severe storms using experimental fine-resolution WSR-88D measurements. Weather Forecast 20:3–14Google Scholar
  45. Browning KA, Collier CG (1989) Nowcasting of precipitation systems. Rev Geophys 27:345–370Google Scholar
  46. Calheiros RV, Zawadzki I (1987) Reflectivity-rain rate relationships for radar hydrology in Brazil. J Climate Appl Meteorol 26:118–132Google Scholar
  47. Campos E, Zawadzki I (2000) Instrumental uncertainties in Z–R relations. J Appl Meteorol 39:1088–1102Google Scholar
  48. Campos EF, Zawadzki I, Petitdidier M, Fernandez W (2006) Measurement of raindrop size distributions in tropical rain at Costa Rica. J Hydrol 328:98–109Google Scholar
  49. Capsoni C, D’Amico M, Tarsi T (2001) Statistical characterization of path attenuation of radar signals at C band. J Atmos Ocean Technol 18:609–615Google Scholar
  50. Carpenter TM, Georgakakos KP (2006a) Discretization scale dependencies of the ensemble flow range versus catchment area relationship in distributed hydrologic modeling. J Hydrol 328:242–257Google Scholar
  51. Carpenter TM, Georgakakos KP (2006b) Intercomparison of lumped versus distributed hydrologic model ensemble simulations on operational forecast scales. J Hydrol 329:174–185Google Scholar
  52. Chapon B, Delrieu G, Gosset M, Boudevillain B (2008) Variability of rain drop size distribution and its effect on the Z–R relationship: a case study for intense Mediterranean rainfall. Atmos Res 87:52–65Google Scholar
  53. Charalampidis D, Kasparis T, Jones WL (2002) Removal of nonprecipitation echoes in weather radar using multifractals and intensity. IEEE Trans Geosci Remote Sens 40:1121–1131Google Scholar
  54. Cho YH, Lee G, Kim KE, Zawadzki I (2006) Identification and removal of ground echoes and anomalous propagation using the characteristics of radar echoes. J Atmos Ocean Technol 23:1206–1222Google Scholar
  55. Chrisman JN, Rinderknecht DM, Hamilton RS (1995) WSR-88D clutter suppression and its impact on meteorological data interpretation. WSR-88D operational support facility. Operation Training Branch, NormanGoogle Scholar
  56. Chumchean S, Seed A, Sharma A (2003a) Effect of radar beam geometry on radar rainfall estimation, vol 282. IAHS-AISH Publication, pp 3–10Google Scholar
  57. Chumchean S, Sharma A, Seed A (2003b) Radar rainfall error variance and its impact on radar rainfall calibration. Phys Chem Earth (B) 28:27–39Google Scholar
  58. Chumchean S, Seed A, Sharma A (2004) Application of scaling in radar reflectivity for correcting range-dependent bias in climatological radar rainfall estimates. J Atmos Ocean Technol 21:1545–1556Google Scholar
  59. Ciach GJ, Krajewski WF (1999a) On the estimation of radar rainfall error variance. Adv Water Resour 22:585–595Google Scholar
  60. Ciach GJ, Krajewski WF (1999b) Radar-rain gauge comparisons under observational uncertainties. J Appl Meteorol 38:1519–1525Google Scholar
  61. Ciach GJ, Krajewski WF, Smith JA (1997) Comments on “The window probability matching method for rainfall measurements with radar”. J Appl Meteorol 36:243–246Google Scholar
  62. Ciach GJ, Morrissey ML, Krajewski WF (2000) Conditional bias in radar rainfall estimation. J Appl Meteorol 39:1941–1946Google Scholar
  63. Ciach GJ, Krajewski WF, Villarini G (2007) Product-error-driven uncertainty model for probabilistic quantitative precipitation estimation with NEXRAD data. J Hydrometeorol 8:1325–1347Google Scholar
  64. Cifelli R, Williams CR, Rajopadhyaya DK, Avery SK, Gage KS, May PT (2000) Drop-size distribution characteristics in tropical mesoscale convective systems. J Appl Meteorol 39:760–777Google Scholar
  65. Collier CG (1986a) Accuracy of rainfall estimates by radar. Part I: Calibration by telemetering raingauges. J Hydrol 83:207–223Google Scholar
  66. Collier CG (1986b) Accuracy of rainfall estimates by radar. Part II: Comparison with raingauge network. J Hydrol 83:225–235Google Scholar
  67. Collier CG (1996) Applications of Weather Radar Systems. New YorkGoogle Scholar
  68. Collier CG (1999) The impact of wind drift on the utility of very high spatial resolution radar data over urban areas. Phys Chem Earth Part B-Hydrol Oceans Atmos 24:889–893Google Scholar
  69. Collier CG (2009) On the propagation of uncertainty in weather radar estimates of rainfall through hydrological models. Meteorol Appl 16:35–40Google Scholar
  70. Creutin JD, Andrieu H, Faure D (1997) Use of a weather radar for the hydrology of a mountainous area. 2. Radar measurement validation. J Hydrol 193:26–44Google Scholar
  71. Crum TD, Saffle RE, Wilson JW (1998) An update on the NEXRAD program and future WSR-88D support to operations. Weather Forecast 13:253–262Google Scholar
  72. Cummings RJ, Upton GJG, Holt AR, Kitchen M (2009) Using microwave links to adjust the radar rainfall field. Adv Water Resour 32:1003–1010Google Scholar
  73. Cushmeer N (1999) WSR-88D rainfall estimates during tropical storm Nora. Western Region Technical Attachment, Las VegasGoogle Scholar
  74. Dalezios NR, Kouwen N (1990) Radar signal interpretation in warm season rainstorms. Nord Hydrol 21:47–64Google Scholar
  75. Delrieu G, Creutin JD, Saintandre I (1991) Mean K-R relationships: practical results for typical weather radar wavelengths. J Atmos Ocean Technol 8:467–476Google Scholar
  76. Delrieu G, Creutin JD, Andrieu H (1995) Simulation of radar mountain returns using a digitized terrain model. J Atmos Ocean Technol 12:1038–1049Google Scholar
  77. Delrieu G, Caoudal S, Creutin JD (1997) Feasibility of using mountain return for the correction of ground-based X-band weather radar data. J Atmos Ocean Technol 14:368–385Google Scholar
  78. Delrieu G, Hucke L, Creutin JD (1999) Attenuation in rain for X- and C-band weather radar systems: sensitivity with respect to the drop size distribution. J Appl Meteorol 38:57–68Google Scholar
  79. Delrieu G, Andrieu H, Creutin JD (2000) Quantification of path-integrated attenuation for X- and C-band weather radar systems operating in Mediterranean heavy rainfall. J Appl Meteorol 39:840–850Google Scholar
  80. Dinku T, Anagnostou EN, Borga M (2002) Improving radar-based estimation of rainfall over complex terrain. J Appl Meteorol 41:1163–1178Google Scholar
  81. Donavon RA, Jungbluth KA (2007) Evaluation of a technique for radar identification of large hail across the upper midwest and central plains of the United States. Weather Forecast 22:244–254Google Scholar
  82. Dotzek N, Beheng KD (2001) The influence of deep convective motions on the variability of Z–R relations. Atmos Res 59–60:15–39Google Scholar
  83. Doviak RJ, Zrnic D (2006) Doppler radar and weather observations. Dover Publications, San Diego, 562 ppGoogle Scholar
  84. Doviak RJ, Bringi V, Ryzhkov A, Zahrai A, Zrnic D (2000) Considerations for polarimetric upgrades to operational WSR-88D radars. J Atmos Ocean Technol 17:257–278Google Scholar
  85. Fabry F, Zawadzki I (1995) Long-term observations of the melting layer of precipitation and their interpretation. J Atmos Sci 52:838–851Google Scholar
  86. Fabry F, Austin GL, Tees D (1992) The accuracy of rainfall estimates by radar as a function of range. Quart J Royal Meteorol Soc 118:435–453Google Scholar
  87. Fabry F, Bellon A, Duncan MR, Austin GL (1994) High resolution rainfall measurements by radar for very small basins: the sampling problem reexamined. J Hydrol 161:415–428Google Scholar
  88. Fast JD, Newsom RK, Allwine KJ, Xu Q, Zhang PF, Copeland J, Sun JZ (2008) An evaluation of two NEXRAD wind retrieval methodologies and their use in atmospheric dispersion models. J Appl Meteorol Climatol 47:2351–2371Google Scholar
  89. Faure D, Delrieu G, Tabary P, Du Chatelet JP, Guimera M (2005) Application of the hydrologic visibility concept to estimate rainfall measurement quality of two planned weather radars. Atmos Res 77:232–246Google Scholar
  90. French MM, Bluestein HB, Dowell DC, Wicker LJ, Kramar MR, Pazmany AL (2008) High-resolution, mobile Doppler radar observations of cyclic mesocyclogenesis in a supercell. Mon Weather Rev 136:4997–5016Google Scholar
  91. Friedrich K, Hagen M, Einfalt T (2006) A quality control concept for radar reflectivity, polarimetric parameters, and Doppler velocity. J Atmos Ocean Technol 23:865–887Google Scholar
  92. Friedrich K, Germann U, Gourley JJ, Tabary P (2007) Effects of radar beam shielding on rainfall estimation for the polarimetric C-band radar. J Atmos Ocean Technol 24:1839–1859Google Scholar
  93. Friedrich K, Germann U, Tabary P (2009) Influence of ground clutter contamination on polarimetric radar parameters. J Atmos Ocean Technol 26:251–269Google Scholar
  94. Fulton RA (1999) Sensitivity of WSR-88D rainfall estimates to the rain-rate threshold and rain gauge adjustment: a flash flood case study. Weather Forecast 14:604–624Google Scholar
  95. Fulton RA, Breidenbach JP, Seo DJ, Miller DA, O’Bannon T (1998) The WSR-88D rainfall algorithm. Weather Forecast 13:377–395Google Scholar
  96. Gabella M, Perona G (1998) Simulation of the orographic influence on weather radar using a geometric-optics approach. J Atmos Ocean Technol 15:1485–1494Google Scholar
  97. Gabella M, Joss J, Perona G, Galli G (2001) Accuracy of rainfall estimates by two radars in the same Alpine environment using gage adjustment. J Geophys Res Atmos 106:5139–5150Google Scholar
  98. Germann U (1999) Radome attenuation–A serious limiting factor for quantitative radar measurements. Meteorol Z 8:85–90Google Scholar
  99. Germann U, Joss J (2002) Mesobeta profiles to extrapolate radar precipitation measurements above the Alps to the ground level. J Appl Meteorol 41:542–557Google Scholar
  100. Germann U, Joss J (2004) Operational measurement of precipitation in mountainous terrain. In: Meischner P (ed) Weather radar—principles and advanced applications. Springer, Berlin, pp 52–77Google Scholar
  101. Germann U, Galli G, Boscacci M, Bolliger M (2006) Radar precipitation measurement in a mountainous region. Quart J Royal Meteorol Soc 132:1669–1692Google Scholar
  102. Germann U, Berenguer M, Sempere-Torres D, Zappa M (2009) REAL-ensemble radar precipitation estimation for hydrology in a mountainous region. Quart J Royal Meteorol Soc 135:445–456Google Scholar
  103. Giangrande SE, Ryzhkov AV (2008) Estimation of rainfall based on the results of polarimetric echo classification. J Appl Meteorol Climatol 47:2445–2462Google Scholar
  104. Giangrande SE, Krause JM, Ryzhkov AV (2008) Automatic designation of the melting layer with a polarimetric prototype of the WSR-88D radar. J Appl Meteorol Climatol 47:1354–1364Google Scholar
  105. Glitto P, Choy LB (1997) A comparison of WSR-88D storm total precipitation performance during two tropical systems following changes to the multiplicative bias and upper reflectivity threshold. Weather Forecast 12:459–471Google Scholar
  106. Gorgucci E, Baldini L (2007) Attenuation and differential attenuation correction of C-band radar observations using a fully self-consistent methodology. IEEE Geosci Remote Sens Lett 4:326–330Google Scholar
  107. Gorgucci E, Scarchilli G, Chandrasekar V (1999) A procedure to calibrate multiparameter weather radar using properties of the rain medium. IEEE Trans Geosci Remote Sens 37:269–276Google Scholar
  108. Gourley JJ, Calvert CM (2003) Automated detection of the bright band using WSR-88D data. Weather Forecast 18:585–599Google Scholar
  109. Gourley JJ, Maddox RA, Howard KW, Burgess DW (2002) An exploratory multisensor technique for quantitative estimation of stratiform rainfall. J Hydrometeorol 3:166–180Google Scholar
  110. Gourley JJ, Illingworth AJ, Tabary P (2009) Absolute calibration of radar reflectivity using redundancy of the polarization observations and implied constraints on drop shapes. J Atmos Ocean Technol 26:689–703Google Scholar
  111. Gray WR, Seed AW (2000) The characterisation of orographic rainfall. Meteorol Appl 7:105–119Google Scholar
  112. Gray WR, Uddstrom MJ, Larsen HR (2002) Radar surface rainfall estimates using a typical shape function approach to correct for the variations in the vertical profile of reflectivity. Int J Remote Sens 23:2489–2504Google Scholar
  113. Grecu M, Krajewski WF (1999) Detection of anomalous propagation echoes in weather radar data using neural networks. IEEE Trans Geosci Remote Sens 37:287–296Google Scholar
  114. Grecu M, Krajewski WF (2000) An efficient methodology for detection of anomalous propagation echoes in radar reflectivity data using neural networks. J Atmos Ocean Technol 17:121–129Google Scholar
  115. Grum M, Kraemer S, Verworn H-R, Redder A (2005) Combined use of point rain gauges, radar, microwave link and level measurements in urban hydrological modelling. Atmos Res 77:313–321Google Scholar
  116. Gunn KLS, Marshall JS (1955) The effect of wind shear on falling precipitation. J Meteorol 12:339–349Google Scholar
  117. Habib E, Aduvala AV, Meselhe EA (2008a) Analysis of radar-rainfall error characteristics and implications for streamflow simulation uncertainty. Hydrol Sci J-J Des Sci Hydrol 53:568–587Google Scholar
  118. Habib E, Malakpet CG, Tokay A, Kucera PA (2008b) Sensitivity of streamflow simulations totemporal variability and estimation of Z–R relationships. J Hydrol Eng 13:1177–1186Google Scholar
  119. Hardaker PJ, Auer AH (1994) The separation of rain and hail using single polarization radar echoes and IR cloud-top temperatures. Meteorol Appl 1:201–204Google Scholar
  120. Hardaker PJ, Holt AR, Collier CG (1995) A melting-layer model and its use in correcting for the bright band in single-polarization radar echoes. Quart J Royal Meteorol Soc 121:495–525Google Scholar
  121. Harrison DL, Driscoll SJ, Kitchen M (2000) Improving precipitation estimates from weather radar using quality control and correction techniques. Meteorol Appl 7:135–144Google Scholar
  122. Harrold TW, English EJ, Nicholas CA (1974) The accuracy of radar-derived rainfall measurements in hilly terrain. Quart J Royal Meteorol Soc 100:331–350Google Scholar
  123. Heinselman PL, Ryzhkov AV (2006) Validation of polarimetric hail detection. Weather Forecast 21:839–850Google Scholar
  124. Hitschfeld W, Bordan J (1954) Errors inherent in the radar measurement of rainfall at attenuating wavelengths. J Meteorol 11:58–67Google Scholar
  125. Hunter SM (1996) WSR-88D radar rainfall estimation: capabilities, limitations and potential improvements. Natl Weather Dig 20(4):26–38Google Scholar
  126. Jordan P, Seed A, Austin G (2000) Sampling errors in radar estimates of rainfall. J Geophys Res Atmos 105:2247–2257Google Scholar
  127. Jordan PW, Seed AW, Weinmann PE (2003) A stochastic model of radar measurement errors in rainfall accumulations at catchment scale. J Hydrometeorol 4:841–855Google Scholar
  128. Joss J, Lee R (1995) The application of radar-gauge comparisons to operational precipitation profile corrections. J Appl Meteorol 34:2612–2630Google Scholar
  129. Joss J, Waldvogel A (1990) Precipitation measurements and hydrology. Radar in Meteorology, BostonGoogle Scholar
  130. Kessinger C, Scott E, Van Andel J, Ferraro D, Keeler RJ (1998) NEXRAD data quality optimization. NCAR annual report FY98Google Scholar
  131. Kim DS, Maki M, Lee DI (2008) Correction of X-band radar reflectivity and differential reflectivity for rain attenuation using differential phase. Atmos Res 90:1–9Google Scholar
  132. Kitchen M (1997) Towards improved radar estimates of surface precipitation rate at long range. Quart J Royal Meteorol Soc 123:145–163Google Scholar
  133. Kitchen M, Jackson PM (1993) Weather radar performance at long range–Simulated and observed. J Appl Meteorol 32:975–985Google Scholar
  134. Kitchen M, Brown R, Davies AG (1994) Real-time correction of weather radar for the effects of bright band, range and orographic growth in widespread precipitation. Quart J Royal Meteorol Soc 120:1231–1254Google Scholar
  135. Krajewski WF (1987) Radar rainfall data quality control by the influence function method. Water Resour Res 23:837–844Google Scholar
  136. Krajewski WF, Ciach GJ (2003) Towards probabilistic quantitative precipitation WSR-88D agorithms: preliminary studies and problem formulation. NWS Office of Hydrologic Development, Silver SpringGoogle Scholar
  137. Krajewski WF, Smith JA (1991) On the estimation of climatological Z–R relationships. J Appl Meteorol 30:1436–1445Google Scholar
  138. Krajewski WF, Smith JA (2002) Radar hydrology: rainfall estimation. Adv Water Resour 25:1387–1394Google Scholar
  139. Krajewski WF, Vignal B (2001) Evaluation of anomalous propagation echo detection in WSR-88D data: a large sample case study. J Atmos Ocean Technol 18:807–814Google Scholar
  140. Krajewski WF, Kruger A, Caracciolo C, Gole P, Barthes L, Creutin JD, Delahaye JY, Nikolopoulos EI, Ogden F, Vinson JP (2006a) DEVEX-disdrometer evaluation experiment: basic results and implications for hydrologic studies. Adv Water Resour 29:311–325Google Scholar
  141. Krajewski WF, Ntelekos AA, Goska R (2006b) A GIS-based methodology for the assessment of weather radar beam blockage in mountainous regions: two examples from the US NEXRAD network. Comput Geosci 32:283–302Google Scholar
  142. Krajewski WF, Villarini G, Smith JA (2009) Radar-rainfall uncertainties: where are we after thirty years of effort? Bull Am Meteorol Soc (Submitted)Google Scholar
  143. Kucera PA, Krajewski WF, Young CB (2004) Radar beam occultation studies using GIS and DEM technology: an example study of Guam. J Atmos Ocean Technol 21:995–1006Google Scholar
  144. Kummerow C, Simpson J, Thiele O, Barnes W, Chang ATC, Stocker E, Adler RF, Hou A, Kakar R, Wentz F, Ashcroft P, Kozu T, Hong Y, Okamoto K, Iguchi T, Kuroiwa H, Im E, Haddad Z, Huffman G, Ferrier B, Olson WS, Zipser E, Smith EA, Wilheit TT, North G, Krishnamurti T, Nakamura K (2000) The status of the Tropical Rainfall Measuring Mission (TRMM) after two years in orbit. J Appl Meteorol 39:1965–1982Google Scholar
  145. Kurri M, Huuskonen A (2008) Measurements of the transmission loss of a radome at different rain intensities. J Atmos Ocean Technol 25:1590–1599Google Scholar
  146. Lack SA, Fox NI (2005) Errors in surface rainfall rates retrieved from radar due to wind-drift. Atmos Sci Lett 6:71–77Google Scholar
  147. Lack SA, Fox NI (2007) An examination of the effect of wind-drift on radar-derived surface rainfall estimations. Atmos Res 85:217–229Google Scholar
  148. Lakshmanan V, Fritz A, Smith T, Hondl K, Stumpf G (2007) An automated technique to quality control radar reflectivity data. J Appl Meteorol Climatol 46:288–305Google Scholar
  149. Lang TJ, Nesbitt SW, Carey LD (2009) On the correction of partial beam blockage in polarimetric radar data. J Atmos Ocean Technol 26:943–957Google Scholar
  150. Lee G, Zawadzki I (2005a) Variability of drop size distributions: noise and noise filtering in disdrometric data. J Appl Meteorol 44:634–652Google Scholar
  151. Lee G, Zawadzki I (2005b) Variability of drop size distributions: time-scale dependence of the variability and its effects on rain estimation. J Appl Meteorol 44:241–255Google Scholar
  152. Lee GW, Zawadzki I (2006) Radar calibration by gage, disdrometer, and polarimetry: theoretical limit caused by the variability of drop size distribution and application to fast scanning operational radar data. J Hydrol 328:83–97Google Scholar
  153. Lee WC, Harasti PR, Bell M, Jou BJD, Chang MH (2006) Doppler velocity signatures of idealized elliptical vortices. Terr Atmos Ocean Sci 17:429–446Google Scholar
  154. Leijnse H, Uijlenhoet R, Stricker JNM (2007) Hydrometeorological application of a microwave link: 2. Precipitation. Water Resour Res 43:W04417. doi: 10.1029/2006WR004989
  155. Leijnse H, Uijlenhoet R, Stricker JNM (2008) Microwave link rainfall estimation: effects of link length and frequency, temporal sampling, power resolution, and wet antenna attenuation. Adv Water Resour 31:1481–1493Google Scholar
  156. Lewis HW, Harrison DL (2007) Assessment of radar data quality in upland catchments. Meteorol Appl 14:441–454Google Scholar
  157. Liu CY, Krajewski WF (1996) A comparison of methods for calculation of radar-rainfall hourly accumulations. Water Resour Bull 32:305–315Google Scholar
  158. Maddox RA, Zhang J, Gourley JJ, Howard KW (2002) Weather radar coverage over the contiguous United States. Weather Forecast 17:927–934Google Scholar
  159. Maki M, Keenan TD, Sasaki Y, Nakamura K (2001) Characteristics of the raindrop size distribution in tropical continental squall lines observed in Darwin, Australia. J Appl Meteorol 40:1393–1412Google Scholar
  160. Mandapaka PV, Krajewski WF, Ciach GJ, Villarini G, Smith JA (2009) Estimation of radar-rainfall error spatial correlation. Adv Water Resour 32:1020–1030Google Scholar
  161. Manz A, Smith AH, Hardaker PJ (2000) Comparison of different methods of end to end calibration of the UK weather radar network. Phys Chem Earth (B) 25(10–12):1157–1162Google Scholar
  162. Marquis J, Richardson Y, Wurman J, Markowski P (2008) Single- and dual-Doppler analysis of a tornadic vortex and surrounding storm-scale flow in the Crowell, Texas, Supercell of 30 April 2000. Mon Weather Rev 136:5017–5043Google Scholar
  163. Marshall JS, Palmer WM (1948) The distribution of raindrops with size. J Meteorol 5:165–166Google Scholar
  164. Marshall JS, Hitschfeld W, Gunn KLS (1955) Advances in radar weather. In: Landsberg HE (ed) Advances in geophysics, vol 2. Academic Press Inc., New YorkGoogle Scholar
  165. Martner BE, Yuter SE, White AB, Matrosov SY, Kingsmill DE, Ralph FM (2008) Raindrop size distributions and rain characteristics in California coastal rainfall for periods with and without a radar bright band. J Hydrometeorol 9:408–425Google Scholar
  166. Marzano FS, Vulpiani G, Picciotti E (2004) Rain field and reflectivity vertical profile reconstruction from C-band radar volumetric data. IEEE Trans Geosci Remote Sens 42(5):1033–1046 Google Scholar
  167. Medlin JM, Kimball SK, Blackwell KG (2007) Radar and rain gauge analysis of the extreme rainfall during hurricane Danny’s (1997) landfall. Mon Weather Rev 135:1869–1888Google Scholar
  168. Meischner P (2003) Weather radar—Principles and advances application. Springer, Berlin, GermanyGoogle Scholar
  169. Meischner P, Collier C, Illingworth A, Joss J, Randeu W (1997) Advanced weather radar systems in Europe: the COST 75 action. Bull Am Meteorol Soc 78:1411–1430Google Scholar
  170. Michelson DB, Sunhede D (2004) Spurious weather radar echo identification and removal using multisource temperature information. Meteorol Appl 11:1–14Google Scholar
  171. Miriovsky BJ, Bradley AA, Eichinger WE, Krajewski WF, Kruger A, Nelson BR, Creutin J-D, Lapetite J-M, Lee GW, Zawadzki I, Ogden FL (2004) An empirical study of small-scale variability of radar reflectivity using disdrometer observations. J Appl Meteorol 43:106–118Google Scholar
  172. Mittermaier MP, Illingworth AJ (2003) Comparison of model-derived and radar-observed freezing-level heights: implications for vertical reflectivity profile-correction schemes. Quart J Royal Meteorol Soc 129:83–95Google Scholar
  173. Moisseev DN, Chandrasekar V (2009) Polarimetric spectral filter for adaptive clutter and noise suppression. J Atmos Ocean Technol 26:215–228Google Scholar
  174. Morin E, Krajewski WF, Goodrich DC, Gao XG, Sorooshian S (2003) Estimating rainfall intensities from weather radar data: the scale-dependency problem. J Hydrometeorol 4:782–797Google Scholar
  175. Moszkowicz S, Ciach GJ, Krajewski WF (1994) Statistical detection of anomalous propagation in radar reflectivity patterns. J Atmos Ocean Technol 11:1026–1034Google Scholar
  176. Neyman LM (1996) Initial comparison of WSR-88D precipitation products and rain gage precipitation for northwestern California. Western Region Technical Attachment, EurekaGoogle Scholar
  177. Nicol JC, Austin GL (2003) Attenuation correction constraint for single-polarisation weather radar. Meteorol Appl 10:345–354Google Scholar
  178. Pamment JA, Conway BJ (1998) Objective identification of echoes due to anomalous propagation in weather radar data. J Atmos Ocean Technol 15:98–113Google Scholar
  179. Pankiewicz GS, Johnson CJ, Harrison DL (2001) Improving radar observations of precipitation with a meteosat neural network classifier. Meteorol Atmos Phys 76:9–22Google Scholar
  180. Pellarin T, Delrieu G, Saulnier GM, Andrieu H, Vignal B, Creutin JD (2002) Hydrologic visibility of weather radar systems operating in mountainous regions: case study for the Ardeche Catchment (France). J Hydrometeorol 3:539–555Google Scholar
  181. Petersen WA, Carey LD, Rutledge SA, Knievel JC, Doesken NJ, Johnson RH, McKee TB, Vonder Haar T, Weaver JF (1999) Mesoscale and radar observations of the Fort Collins flash flood of 28 July 1997. Bull Am Meteorol Soc 80:191–216Google Scholar
  182. Purdy JC, Austin GL, Seed AW, Cluckie ID (2005) Radar evidence of orographic enhancement due to the seeder feeder mechanism. Meteorol Appl 12:199–206Google Scholar
  183. Rahimi AR, Upton GJG, Holt AR (2004) Dual-frequency links–a complement to gauges and radar for the measurement of rain. J Hydrol 288:3–12Google Scholar
  184. Ricks R, Graschel J, Jones E (1995) A comparison of adjacent WSR-88D precipitation estimates along the Mississippi gulf coast. Lower Mississippi River Forecast Center, SlidellGoogle Scholar
  185. Rico-Ramirez MA, Cluckie ID (2007) Bright-band detection from radar vertical reflectivity profiles. Int J Remote Sens 28(18):4013–4025Google Scholar
  186. Rincon RF, Lang RH (2002) Microwave link dual-wavelength measurements of path-average attenuation for the estimation of drop size distributions and rainfall. IEEE Trans Geosci Remote Sens 40:760–770Google Scholar
  187. Rinehart RE (1978) On the use of ground return targets for radar reflectivity factor calibration checks. J Appl Meteorol 17:1342–1350Google Scholar
  188. Rinehart RE (2004) Radar for meteorologists. Rinehart Publications, Grand ForksGoogle Scholar
  189. Rosenfeld D, Amitai E (1998) Comparison of WPMM versus regression for evaluating Z–R relationships. J Appl Meteorol 37:1241–1249Google Scholar
  190. Rosenfeld D, Wolff DB, Atlas D (1993) General probability-matched relations between radar reflectivity and rain rate. J Appl Meteorol 32:50–72Google Scholar
  191. Rosenfeld D, Wolff DB, Amitai E (1994) The window probability matching method for rainfall measurements with radar. J Appl Meteorol 33:682–693Google Scholar
  192. Rosenfeld D, Amitai E, Wolff DB (1995) Improved accuracy of radar WPMM estimated rainfall upon application of objective classification criteria. J Appl Meteorol 34:212–223Google Scholar
  193. Ryzhkov A, Zrnic DS (1995) Precipitation and attenuation measurements at a 10-cm wavelength. J Appl Meteorol 34:2121–2134Google Scholar
  194. Ryzhkov AV, Zrnic DS (1998a) Discrimination between rain and snow with a polarimetric radar. J Appl Meteorol 37:1228–1240Google Scholar
  195. Ryzhkov AV, Zrnic DS (1998b) Polarimetric rainfall estimation in the presence of anomalous propagation. J Atmos Ocean Technol 15:1320–1330Google Scholar
  196. Ryzhkov AV, Giangrande SE, Melnikov VM, Schuur TJ (2005) Calibration issues of dual-polarization radar measurements. J Atmos Ocean Technol 22:1138–1155Google Scholar
  197. Sanchez-Diezma R, Zawadzki I, Sempere-Torres D (2000) Identification of the bright band through the analysis of volumetric radar data. J Geophys Res 105(D2):2225–2236Google Scholar
  198. Sauvageot H (1992) Radar meteorology. Artech, BostonGoogle Scholar
  199. Sauvageot H (1994) Rainfall measurement by radar: a review. Atmos Res 35:27–54Google Scholar
  200. Scarchilli G, Gorgucci E, Chandrasekar V, Seliga TA (1993) Rainfall estimation using polarimetric techniques at C-band frequencies. J Appl Meteorol 32:1150–1160Google Scholar
  201. Scarchilli G, Gorgucci E, Chandrasekar V, Dobaie A (1996) Self-consistency of polarization diversity measurement of rainfall. IEEE Trans Geosci Remote Sens 34:22–26Google Scholar
  202. Seed A, Nichol J, Austin G, Stow CD, Bradley SG (1996) The impact of radar and rain gauge sampling errors when calibrating a weather radar. Meteorol Appl 3:43–52Google Scholar
  203. Seliga TA, Bringi VN, Alkhatib HH (1981) A preliminary study of comparative measurements of rainfall rate using the differential reflectivity radar technique and a raingage network. J Appl Meteorol 20:1362–1368Google Scholar
  204. Seo DJ, Breidenbach J, Fulton R, Miller D, O’Bannon T (2000) Real-time adjustment of range-dependent biases in WSR-88D rainfall estimates due to nonuniform vertical profile of reflectivity. J Hydrometeorol 1:222–240Google Scholar
  205. Serafin RJ, Wilson JW (2000) Operational weather radar in the United States: progress and opportunity. Bull Am Meteorol Soc 81:501–518Google Scholar
  206. Serrar S, Delrieu G, Creutin J-D, Uijlenhoet R (2000) Mountain reference technique: use of mountain returns to calibrate weather radars operating at attenuating wavelengths. J Geophys Res 105(D2):2281–2290Google Scholar
  207. Sieck LC, Burges SJ, Steiner M (2007) Challenges in obtaining reliable measurements of point rainfall. Water Resour Res 43:23Google Scholar
  208. Silberstein DS, Wolff DB, Marks DA (2008) Ground clutter as a monitor of radar stability at Kwajalein, RMI. J Atmos Ocean Technol 25:2037–2045Google Scholar
  209. Simpson J, Kummerow C, Tao WK, Adler RF (1996) On the tropical rainfall measuring mission (TRMM). Meteorol Atmos Phys 60:19–36Google Scholar
  210. Smith CJ (1986) The reduction of errors caused by bright bands in quantitative rainfall measurements made using radar. J Atmos Ocean Technol 3:129–141Google Scholar
  211. Smith PL (1990) Precipitation measurements and hydrology: panel report. Radar in Meteorology, BostonGoogle Scholar
  212. Smith JA (1993) Marked point process models of raindrop-size distributions. J Appl Meteorol 32:284–296Google Scholar
  213. Smith PL (1998) On the minimum useful elevation angle for weather surveillance radar scans. J Atmos Ocean Technol 15:841–843Google Scholar
  214. Smith JA, De Veaux RD (1994) A stochastic model relating rainfall intensity to raindrop process. Water Resour Res 30:651–664Google Scholar
  215. Smith JA, Krajewski WF (1993) A modeling study of rainfall rate-reflectivity relationships. Water Resour Res 29:2505–2514Google Scholar
  216. Smith PL, Myers CG, Orville HD (1975) Radar reflectivity factor calculations in numerical cloud models using bulk parameterization of precipitation. J Appl Meteorol 14:1156–1165Google Scholar
  217. Smith JA, Seo DJ, Baeck ML, Hudlow MD (1996) An intercomparison study of NEXRAD precipitation estimates. Water Resour Res 32:2035–2045Google Scholar
  218. Smith JA, Baeck ML, Morrison JE, Sturdevant-Rees P (2000) Catastrophic rainfall and flooding in Texas. J Hydrometeorol 1:5–25Google Scholar
  219. Smith JA, Hui E, Steiner M, Baeck ML, Krajewski WF, Ntelekos AA (2009) Variability of rainfall rate and raindrop size distributions in heavy rain. Water Resour Res 45:12Google Scholar
  220. Smyth TJ, Illingworth AJ (1998) Radar estimates of rainfall rates at the ground in bright band and non-bright band events. Quart J Royal Meteorol Soc 124:2417–2434Google Scholar
  221. Steiner M, Smith JA (2000) Reflectivity, rain rate, and kinetic energy flux relationships based on raindrop spectra. J Appl Meteorol 39:1923–1940Google Scholar
  222. Steiner M, Smith JA (2002) Use of three-dimensional reflectivity structure for automated detection and removal of nonprecipitating echoes in radar data. J Atmos Ocean Technol 19:673–686Google Scholar
  223. Steiner M, Smith JA (2004) Scale dependence of radar-rainfall rates—An assessment based on raindrop spectra. J Hydrometeorol 5:1171–1180Google Scholar
  224. Steiner M, Smith JA, Burges SJ, Alonso CV, Darden RW (1999) Effect of bias adjustment and rain gauge data quality control on radar rainfall estimation. Water Resour Res 35:2487–2503Google Scholar
  225. Straka JM, Zrnic DS, Ryzhkov AV (2000) Bulk hydrometeor classification and quantification using polarimetric radar data: synthesis of relations. J Appl Meteorol 39:1341–1372Google Scholar
  226. Tabary P (2007) The new French operational radar rainfall product. Part I: Methodology. Weather Forecast 22:393–408Google Scholar
  227. Tabary P, Desplats J, Do Khac K, Eideliman F, Gueguen C, Heinrich JC (2007) The new French operational radar rainfall product. Part II: Validation. Weather Forecast 22:409–427Google Scholar
  228. Tees D, Austin GL (1991) The effect of range on the radar measurement of rainfall. In: Cluckie ID, Collier GC (eds) Hydrological applications of weather radar. Ellis Horwood, pp 296–304Google Scholar
  229. Tokay A, Short DA (1996) Evidence from tropical raindrop spectra of the origin of rain from stratiform versus convective clouds. J Appl Meteorol 35:355–371Google Scholar
  230. Tokay A, Kruger A, Krajewski WF (2001) Comparison of drop size distribution measurements by impact and optical disdrometers. J Appl Meteorol 40:2083–2097Google Scholar
  231. Tokay A, Bashor PG, Wolff KR (2005) Error characteristics of rainfall measurements by collocated Joss-Waldvogel disdrometers. J Atmos Ocean Technol 22:513–527Google Scholar
  232. Tokay A, Bashor PG, Habib E, Kasparis T (2008) Raindrop size distribution measurements in tropical cyclones. Mon Weather Rev 136:1669–1685Google Scholar
  233. Torres SM, Zrnic DS (1999) Ground clutter canceling with a regression filter. J Atmos Ocean Technol 16:1364–1372Google Scholar
  234. Uijlenhoet R (2001) Raindrop size distributions and radar reflectivity-rain rate relationships for radar hydrology. Hydrol Earth Syst Sci 5:615–627CrossRefGoogle Scholar
  235. Uijlenhoet R, Berne A (2008) Stochastic simulation experiment to assess radar rainfall retrieval uncertainties associated with attenuation and its correction. Hydrol Earth Syst Sci 12:587–601CrossRefGoogle Scholar
  236. Uijlenhoet R, Steiner M, Smith JA (2003) Variability of raindrop size distributions in a squall line and implications for radar rainfall estimation. J Hydrometeorol 4:43–61Google Scholar
  237. Ulbrich CW, Atlas D (2002) On the separation of tropical convective and stratiform rains. J Appl Meteorol 41:188–195Google Scholar
  238. Ulbrich CW, Atlas D (2008) Radar measurement of rainfall with and without polarimetry. J Appl Meteorol Climatol 47:1929–1939Google Scholar
  239. Ulbrich CW, Lee LG (1999) Rainfall measurement error by WSR-88D radars due to variations in Z–R law parameters and the radar constant. J Atmos Ocean Technol 16:1017–1024Google Scholar
  240. Ulbrich CW, Miller NE (2001) Experimental test of the effects of Z–R law variations on comparison of WSR-88D rainfall amounts with surface rain gauge and disdrometer data. Weather Forecast 16:369–374Google Scholar
  241. Upton GJG, Holt AR, Cummings RJ, Rahimi AR, Goddard JWF (2005) Microwave links: the future for urban rainfall measurement? Atmos Res 77:300–312Google Scholar
  242. Vieux BE, Bedient PB (1998) Estimation of rainfall for flood prediction from WSR-88D reflectivity: a case study, 17–18 October 1994. Weather Forecast 13:407–415Google Scholar
  243. Vignal B, Krajewski WF (2001) Large-sample evaluation of two methods to correct range-dependent error for WSR-88D rainfall estimates. J Hydrometeorol 2:490–504Google Scholar
  244. Vignal B, Andrieu H, Creutin JD (1999) Identification of vertical profiles of reflectivity from volume scan radar data. J Appl Meteorol 38:1214–1228Google Scholar
  245. Vignal B, Galli G, Joss J, Germann U (2000) Three methods to determine profiles of reflectivity from volumetric radar data to correct precipitation estimates. J Appl Meteorol 39:1715–1726Google Scholar
  246. Villarini G, Krajewski WF (2009a) Empirically based modelling of radar-rainfall uncertainties for a C-band radar at different time scales. Quart J Royal Meteorol Soc (in press) ( 10.1002/qj.454)
  247. Villarini G, Krajewski WF (2009b) Inference of spatial scaling properties of rainfall: impact of radar-rainfall estimation uncertainties. IEEE Geosci Remote Sens Lett. doi: 10.1109/LGRS.2009.2025891
  248. Villarini G, Krajewski WF (2009c) Sensitivity studies of the models of radar-rainfall uncertainties. J Appl Meteorol Climatol (Submitted)Google Scholar
  249. Villarini G, Ciach GJ, Krajewski WF, Nordstrom KM, Gupta VK (2007) Effects of systematic and random errors on the spatial scaling properties in radar-estimated rainfall. In: Tsonis AA, Elsner J (eds) Nonlinear dynamics in geosciences. Springer, Berlin, pp 37–51Google Scholar
  250. Villarini G, Mandapaka PV, Krajewski WF, Moore RJ (2008) Rainfall and sampling uncertainties: a rain gauge perspective. J Geophys Res Atmos 113:12Google Scholar
  251. Villarini G, Krajewski WF, Ciach GJ, Zimmerman DL (2009a) Product-error-driven generator of probable rainfall conditioned on WSR-88D precipitation estimates. Water Resour Res 45:11Google Scholar
  252. Villarini G, Krajewski WF, Smith JA (2009b) New paradigm for statistical validation of satellite precipitation estimates: application to a large sample of the TMPA 0.25-degree three hourly estimates over Oklahoma. J Geophys Res Atmos 114:12Google Scholar
  253. Vulpiani G, Marzano FS, Chandrasekar V, Lim S (2005) Constrained iterative technique with embedded neural network for dual-polarization radar correction of rain path attenuation. IEEE Trans Geosci Remote Sens 43:2305–2314Google Scholar
  254. Vulpiani G, Tabary P, Du Chatelet JP, Marzano FS (2008) Comparison of advanced radar polarimetric techniques for operational attenuation correction at C band. J Atmos Ocean Technol 25:1118–1135Google Scholar
  255. Westrick KJ, Mass CF, Colle BA (1999) The limitations of the WSR-88D radar network for quantitative precipitation measurement over the coastal western United States. Bull Am Meteorol Soc 80:2289–2298Google Scholar
  256. White AB, Gottas DJ, Strem ET, Ralph FM, Neiman PJ (2002) An automated brightband height detection algorithm for use with Doppler radar spectral moments. J Atmos Ocean Technol 19:687–697Google Scholar
  257. Whiton RC, Smith PL, Bigler SG, Wilk KE, Harbuck AC (1998a) History of operational use of weather radar by US weather services. Part I: The pre-NEXRAD era. Weather Forecast 13:219–243Google Scholar
  258. Whiton RC, Smith PL, Bigler SG, Wilk KE, Harbuck AC (1998b) History of operational use of weather radar by US weather services. Part II: Development of operational Doppler weather radars. Weather Forecast 13:244–252Google Scholar
  259. Williams CR, Kruger A, Gage KS, Tokay A, Cifelli R, Krajewski WF, Kummerow C (2000) Comparison of simultaneous rain drop size distributions estimated from two surface disdrometers and a UHF profiles. Geophys Res Lett 27:1763–1766Google Scholar
  260. Williams CR, Gage KS, Clark W, Kucera P (2005) Monitoring the reflectivity calibration of a scanning radar using a profiling radar and a disdrometer. J Atmos Ocean Technol 22:1004–1018Google Scholar
  261. Willis PT, Tattelman P (1989) Drop-size distributions associated with intense rainfall. J Appl Meteorol 28:3–15Google Scholar
  262. Wilson JW, Brandes EA (1979) Radar measurement of rainfall–A summary. Bull Am Meteorol Soc 60:1048–1058Google Scholar
  263. Wood VT, Brown RA, Vasiloff SV (2003) Improved detection using negative elevation angles for mountaintop WSR-88Ds. Part II: Simulations of the three radars covering Utah. Weather Forecast 18:393–403Google Scholar
  264. Young CB, Nelson BR, Bradley AA, Smith JA, Peters-Lidard CD, Kruger A, Baeck ML (1999) An evaluation of NEXRAD precipitation estimates in complex terrain. J Geophys Res Atmos 104:19691–19703Google Scholar
  265. Yuter SE, Houze RA (1997) Measurements of raindrop size distributions over the Pacific warm pool and implications for Z–R relations. J Appl Meteorol 36:847–867Google Scholar
  266. Zawadzki I (1984) Factors affecting the precision of radar measurement of rain. 22nd conference on radar meteorology, Zurich, SwitzerlandGoogle Scholar
  267. Zhang Y, Adams T, Bonta JV (2007) Subpixel-scale rainfall variability and the effects on separation of radar and gauge rainfall errors. J Hydrometeorol 8:1348–1363Google Scholar
  268. Zhao QY, Cook J, Xu Q, Harasti PR (2006) Using radar wind observations to improve mesoscale numerical weather prediction. Weather Forecast 21:502–522Google Scholar
  269. Zhao QY, Cook J, Xu Q, Harasti PR (2008) Improving short-term storm predictions by assimilating both radar radial-wind and reflectivity observations. Weather Forecast 23:373–391Google Scholar
  270. Zinevich A, Alpert P, Messer H (2008) Estimation of rainfall fields using commercial microwave communication networks of variable density. Adv Water Resour 31:1470–1480Google Scholar
  271. Zrnic DS (1996) Weather radar polarimetry—Trends toward operational applications. Bull Am Meteorol Soc 77:1529–1534Google Scholar
  272. Zrnic DS, Ryzhkov AV (1999) Polarimetry for weather surveillance radars. Bull Am Meteorol Soc 80:389–406Google Scholar
  273. Zrnic DS, Melnikov VM, Ryzhkov AV (2006) Correlation coefficients between horizontally and vertically polarized returns from ground clutter. J Atmos Ocean Technol 23:381–394Google Scholar

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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringPrinceton UniversityPrincetonUSA
  2. 2.IIHR-Hydroscience & EngineeringThe University of IowaIowa CityUSA

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