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Uncertainty Analysis of Quantitative Radar Rainfall Estimation Using the Maximum Entropy

Maximum Entropy를 이용한 정량적 레이더 강우추정 불확실성 분석

  • Lee, Jae-Kyoung (Daejin University, Innovation Center of Engineering Education)
  • 이재경 (대진대학교 공학교육혁신센터)
  • Received : 2015.04.21
  • Accepted : 2015.07.15
  • Published : 2015.09.30

Abstract

Existing studies on radar rainfall uncertainties were performed to reduce the uncertainty for each stage by using bias correction during the quantitative radar rainfall estimation process. However, the studies do not provide quantitative comparison with the uncertainties for all stages. Consequently, this study proposes a suitable approach that can quantify the uncertainties at each stage of the quantitative radar rainfall estimation process. First, the new approach can present initial and final uncertainties, increasing or decreasing the uncertainty, and the uncertainty percentage at each stage. Furthermore, Maximum Entropy (ME) was applied to quantify the uncertainty in the entire process. Second, for the uncertainty quantification of radar rainfall estimation at each stage, this study used two quality control algorithms, two rainfall estimation relations, and two bias correction techniques as post-processing and progressed through all stages of the radar rainfall estimation. For the proposed approach, the final uncertainty (ME = 3.81) from the ME of the bias correction stage was the smallest while the uncertainty of the rainfall estimation stage was higher because of the use of an unsuitable relation. Additionally, the ME of the quality control was at 4.28 (112.34%), while that of the rainfall estimation was at 4.53 (118.90%), and that of the bias correction at 3.81 (100%). However, this study also determined that selecting the appropriate method for each stage would gradually reduce the uncertainty at each stage. Finally, the uncertainty due to natural variability was 93.70% of the final uncertainty. Thus, the results indicate that this new approach can contribute significantly to the field of uncertainty estimation and help with estimating more accurate radar rainfall.

Keywords

References

  1. Austin, P. M., 1987: Relation between measured radar reflectivity and surface rainfall. Mon. Wea. Rev., 115, 1053-1070. https://doi.org/10.1175/1520-0493(1987)115<1053:RBMRRA>2.0.CO;2
  2. Campos, E., and I. Zawadzki, 2000: Instrumental uncertainties in Z-R relations. J. Appl. Meteorol., 39, 1088-1102. https://doi.org/10.1175/1520-0450(2000)039<1088:IUIZRR>2.0.CO;2
  3. Ciach, G. J., W. F. Krajewski, and G. Villarini, 2007: Product-error-driven uncertainty model for probabilistic quantitative precipitation estimation with NEXRAD data. J. Hydrometeor., 8, 1325-1347. https://doi.org/10.1175/2007JHM814.1
  4. Ciach, G. J., and W. F. Krajewski, 1999: On the estimation of radar rainfall error variance. Adv. Water Resour., 22, 585-595. https://doi.org/10.1016/S0309-1708(98)00043-8
  5. Gay, C., and F. Estrada, 2010: Objective probabilities about future climate are a matter of opinion. Climatic Change, 99, 27-46. https://doi.org/10.1007/s10584-009-9681-4
  6. Germann, U., G. Galli, M. Boscacci, and M. Bolliger, 2006: Radar precipitation measurement in a mountainous region. Quart. J. Roy. Meteor. Soc., 132, 1669-1692. https://doi.org/10.1256/qj.05.190
  7. Huff, F. A., 1970: Sampling errors in measurement of mean precipitation. J. Appl. Meteorol., 9, 35-44. https://doi.org/10.1175/1520-0450(1970)009<0035:SEIMOM>2.0.CO;2
  8. IPCC, 2001: Climate Change 2001: Impacts, Adaptations, and Vulnerability. Contribution of Working Group II to the Third Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge, UK and New York, NY, USA.
  9. Kim, D.-S., M-Y. Kang, D.-I. Lee, J.-H. Kim, B.-C. Choi, and K. E. Kim, 2006. Reflectivity Z and differencial reflectivity ZDR correction for polarimetric radar rainfall measurement. Proceeding of the Spring Meeting of Korean Meteorological Society, 130-131.
  10. Krajewski, W. F., and J. Smith, 2002: Radar hydrology:rainfall estimation. Adv. Water Resour., 25, 1387-1394. https://doi.org/10.1016/S0309-1708(02)00062-3
  11. Krajewski, W. F., G. Villarini, and J. A. Smith, 2010: Radar-rainfall uncertainties. Bull. Amer. Meteor. Soc., 91, 87-94. https://doi.org/10.1175/2009BAMS2747.1
  12. Lee, J.-K., J.-H. Kim, H.-S. Park, and M.-K. Suk, 2014a: Merging radar rainfalls of single and dual-polarization radar to improve the accuracy of quantitative precipitation estimation. Atmosphere, 24, 365-378 (in Korean with English abstract). https://doi.org/10.14191/Atmos.2014.24.3.365
  13. Lee, J.-K., J.-H. Kim, J.-S. Park, and K.-H. Kim, 2014b: Application of radar rainfall estimates using the local gauge correction method to hydrologic model. Journal of Korean Society of Hazard Mitigation, 14, 67-78.
  14. Marshall, J. S., R. C. Langille, and W. McK. Palmer, 1947: Measurement of rainfall by radar. J. Meteor., 4, 186-192. https://doi.org/10.1175/1520-0469(1947)004<0186:MORBR>2.0.CO;2
  15. McMillan, H., B. Jackson, M. Clark, D. Kavetski, and R. Woods, 2011: Rainfall uncertainty in hydrological modeling: An evaluation of multiplicative error models. J. Hydrol., 400, 83-94. https://doi.org/10.1016/j.jhydrol.2011.01.026
  16. Morin, E., R. A. Maddox, S. Goodrich, and S. Sorooshin, 2005: Radar Z-R relationship for summer monsoon storm in Arizona. Wea. Forecasting, 20, 672-679. https://doi.org/10.1175/WAF878.1
  17. Moulin, L., E. Gaume, and C. Obled, 2009: Uncertainties in mean areal precipitation: assessment and impact on streamflow simulations. Hydrol. Earth Syst. Sci., 13, 99-114. https://doi.org/10.5194/hess-13-99-2009
  18. Oh, H.-M., K.-J. Ha, K.-E. Kim, and D.-H. Bae, 2003. Precipitation rate combined with the use of optimal weighting of radar and rain gauge data. Atmosphere, 13, 316-317 (in Korean with English abstract).
  19. Rosenfeld, D., D. B. Wolff, and E. Amitai, 1994: The window probability matching method for rainfall measurements with radar. J. Appl. Meteorol., 33, 682-693. https://doi.org/10.1175/1520-0450(1994)033<0682:TWPMMF>2.0.CO;2
  20. Shannon, C. E., 1948: A Mathematical Theory of Communication. Bell Syst. Tech. J., 27, 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
  21. Villarini, G., and W. F. Krajewski, 2008: Empirically-based modeling of spatial sampling uncertainties associated with rainfall measurements by rain gauges. Adv. Water Resour., 31, 1015-1023. https://doi.org/10.1016/j.advwatres.2008.04.007
  22. Villarini, G., and W. F. Krajewski, 2010: Sensitivity studies of the models of radar-rainfall uncertainties. J. Appl. Meteorol. Clim., 49, 288-309. https://doi.org/10.1175/2009JAMC2188.1
  23. Weather Radar Center, 2013: Weather radar data analysis guidance. Weather Radar Center technical note WRC 2013-02.
  24. Wilson, J. W., and E. A. Brandes, 1979: Radar measurement of rainfall. Bull. Amer. Meteor. Soc., 60, 1048-1058. https://doi.org/10.1175/1520-0477(1979)060<1048:RMORS>2.0.CO;2
  25. Woodley, W., A. Olsen, A. Herndon, and V. Wiggert, 1975: Comparison of gage and radar methods of convective rain measurement. J. Appl. Meteorol., 14, 909-928. https://doi.org/10.1175/1520-0450(1975)014<0909:COGARM>2.0.CO;2
  26. Yoo, C., J. Kim, J. Yoon, C. Park, and C. Jun, 2011: Use of the Kalman filter for the correction of mean-field bias of radar rainfall. The 5th Korea-Japan-China Joint Conference on Meteorology, Busan, Korea.
  27. Zhang, Y., T. Adams, and J. V. Bonta, 2007: Subpixelscale rainfall variability and the effects on the separation of radar and gauge rainfall errors. J. Hydrometeor., 8, 1348-1363. https://doi.org/10.1175/2007JHM835.1
  28. Zhange, J., and Coauthors, 2011: National mosaic and multi-sensor QPE (NMW) system. Bull. Amer. Meteor. Soc., 92, 1321-1338. https://doi.org/10.1175/2011BAMS-D-11-00047.1

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