Abstract
High-precision areal rainfall is crucial for hydrometeorological coupled forecasts. The accuracy of quantitative precipitation estimates (QPE) is improved by merging radar-rain gauge data with an integration approach based on a statistical weight matrix in the Yishu River catchment, China. First, a local Z-R relationship (Z = 85R1.82) is reconstructed using a genetic optimization algorithm to minimize the error from different precipitation patterns and climate zones. Next, based on the local Z-R relationship, six methods of merging radar-rain gauge data are respectively adapted to improve the accuracy of QPE, as follows: mean field bias (MFB), Kalman filter (KLM), optimum interpolation (OPT), variation method (VAR), two-step calibration of KLM and OPT (KOP), and two-step calibration of KLM and VAR (KVR). The results indicate that QPE accuracy is clearly improved, and is in good agreement with rain gauge observations, after the six merging methods are applied. Among these methods, KOP performs the best, reducing the mean relative error from 55.2 to 15.1%. An innovative aspect of this work is the inclusion of an integrated ideology based on a statistical weight matrix, which further improves the accuracy of QPE by incorporating the advantages of each estimation mode. The results further show that the accuracy of QPE derived from the integration approach is higher than that obtained by any individual method; QPE values are similar to those obtained the automatic rain gauge network in both the spatial distribution and location of the intense precipitation centers, and better reflects the precipitation status over the ground surface. This approach could serve as a promising conventional method for QPE in the study region.
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References
Berndt C, Rabiei E, Haberlandt U (2014) Geostatistical merging of rain gauge and radar data for high temporal resolutions and various station density scenarios. J Hydrol 508:88–101
Berne A, Krajewski WF (2013) Radar for hydrology: unfulfilled promise or unrecognized potential? Adv Water Resour 51:357–366
Bianchi B, Jan van Leeuwen P, Hogan RJ, Berne A (2013) A variational approach to retrieve rain rate by combining information from rain gauges, radars, and microwave links. J Hydrometeorol 14:1897–1909
Cantet P (2017) Mapping the mean monthly precipitation of a small island using kriging with external drifts. Theoret Appl Climatol 127(1–2):31–44
Cecinati F, Moreno Ródenas M, Rico-Ramirez MA (2017) Integration of rain gauge errors in radar-rain gauge merging techniques. In: 10th World Congress on Water Resources and Environment, Athens, pp 279–285
Chao L, Zhang K, Li Z, Zhu Y, Wang J, Yu Z (2018) Geographically weighted regression based methods for merging satellite and gauge precipitation. J Hydrol 558:275–289
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 87:52–65
Chen QP, Liu JX, Yu JH, Yang LZ, Xia WM (2008) Quantitative estimate of different sorts of precipitation with radar. Meteorol Sci Technol 36(2):233–236
Chumchean S, Seed A, Sharma A (2006) Correcting of real-time radar rainfall bias using a Kalman filtering approach. J Hydrol 317:123–137
Chumchean S, Sharma A, Seed A (2006b) An integrated approach to error correction for real-time radar-rainfall estimation. J Atmos Ocean Technol 23:67–79
Cong F, Liu L (2011) A comprehensive analysis of data from the CINRAD and the ground rainfall station. Meteorol Monogr 37(5):532–539
Gao J, Xue M, Droegemeier KK (2004) A three-dimensional variational data analysis method with recursive filter for Doppler radars. J Atmos Ocean Technol 21:457–469
Germann U, Galli G, Boscacci M, Bolliger M (2006) Radar precipitation measurement in a mountainous region. Q J R Meteorol Soc 132(618):1669–1692
Gou YB, Liu L, Wang D, Zhong L, Chen C (2015) Evaluation and analysis of the Z-R storm-grouping relationships fitting scheme based on storm identification. Torrential Rain Disasters 34(01):1–8
Goudenhoofdt E, Delobbe L (2009) Evaluation of radar-gauge merging methods for quantitative precipitation estimates. Hydrol Earth Syst Sci 13(2):195–203
Guan L, Wang ZH, Pei XF (2004) The consensus methods and effect of estimating rainfall using radar. J Meteorol Sci 24(1):104–111
Haberlandt U (2007) Geostatistical interpolation of hourly precipitation from rain gauges and radar for a large-scale extreme rainfall event. J Hydrol 332:144–157
Hasan MM, Sharma A, Mariethoz G, Johnson F, Seed A (2016) Improving radar rainfall estimation by merging point rainfall measurements within a model combination framework. Adv Water Resour 97:205–218
He X, Sonnenborg TO, Refsgaard JC, Vejen F, Jensen KH (2013) Evaluation of the value of radar QPE data and rain gauge data for hydrological modeling. Water Resour Res 49(9):5989–6005
Jacobi S, Heistermann M (2016) Benchmarking attenuation correction procedures for six years of single-polarized C-band weather radar observations in South-West Germany. Geomatics, Nat. Hazards Risk 7:1785–1799
Jonkman SN (2005) Global perspectives on loss of human life caused by floods. Nat Hazards 34:151–175
Kim J, Yoo C (2014a) Using extended Kalman filter for real-time decision of parameters of Z-R relationship. J Korea Water Resour Associ 47(2):119–133
Kim J, Yoo C (2014b) Use of a dual Kalman filter for real-time correction of mean field bias of radar rain rate. J Hydrol 519:2785–2796
Krajewski WF (1987) Cokriging radar-rainfall and rain gage data. J Geophys Res:Atmos 92:9571–9580
Ku JM, Ro Y, Kim K, Yoo C (2015) Analysis on characteristics of orographic effect about the rainfall using radar data: a case study on Chungju Dam basin. J Korea Water Resour Assoc 48(5):393–407
Lafont D, Guillemet B (2004) Subpixel fractional cloud cover and inhomogeneity effects on microwave beam-filling error. Atmos Res 72(1):149–168
Lee J, Byun H, Kim H, Jun H (2013) Evaluation of a raingauge network considering the spatial distribution characteristics and entropy: a case study of Imha dam basin. J Korean Soc Hazard Mitig 13(2):217–226
Li JT, Gao ST, Guo L, Liu XY, Yang HP, Cai YY (2009) The two-step calibrate technique of estimating areal rainfall. Chin J Atmos Sci 33(3):501–512
Li JT, Li B, Yang HP, Liu XY, Zhang L, Guo L (2014) A study of regional rainfall estimation by using radar and rain gauge: proposal of model integration method. Meteorol Sci Technol 42(4):556–562
Li JT, Li B, Yang HP, Liu XY, Zhang L, Guo L (2015a) Verification and assessment of regional rainfall estimation by using radar and rain-gauge. Meteorol Mon 42(2):200–211
Li H, Hong Y, Xie PP, Gao JD, Niu Z, Kirstetter P, Yong B (2015b) Variational merged of hourly gauge-satellite precipitation in China: preliminary results. J Geophys Res Atmos 120:9897–9915
Maggioni V, Massari C (2018) On the performance of satellite precipitation products in riverine flood modeling: a review. J Hydrol 558:214–224
Marshall JS, Palmer WMK (1948) The distribution of raindrops with size. J Meteorol 5:165–166
Martens B, Cabus P, De Jongh I, Verhoest NEC (2013) Merging weather radar observations with ground-based measurements of rainfall using an adaptive multi-quadric surface fitting algorithm. J Hydrol 500(3-4):84–96
Ochoa-Rodriguez S, Wang LP, Willems P, Onof C (2019) A review of radar-rain gauge data merging methods and their potential for urban hydrological applications. Water Resour Res 55(8):6356–6391
Rabiei E, Haberlandt U (2015) Applying bias correction for merging rain gauge and radar data. J Hydrol 522:544–557
Seo DJ, Breidenbach JP, Johnson ER (1999) Real-time estimation of mean field bias in radar rainfall data. J Hydrol 223:131–147
Shao YH (2010) Precipitation retrieved by Doppler radar and its assimilation study with the improved regional climate model RIEMS. Nanjing University, Nanjing
Shao YH, Zhang WC, Liu YH (2008) Analysis of quantitative precipitation estimation with different methods by using Doppler radar data. Int Workshop Geosci Remote Sens Symp 2:21–22
Sharifi E, Steinacker R, Saghafian B (2018) Multi time-scale evaluation of high resolution satellite-based precipitation products over northeast of Austria. Atmos Res 206:46–63
Sideris IV, Gabella M, Erdin R, Germann U (2014) Real-time radar–rain gauge merging using spatio-temporal co-kriging with external drift in the alpine terrain of Switzerland. Q J R Meteorol Soc 140:1097–1111
Sinclair S, Pegram G (2005) Combining radar and rain gauge rainfall estimates using conditional merging. Atmos Sci Lett 6:19–22
Smith JA, Krajewski WF (1991) Estimation of the mean field bias of radar rainfall estimates. J Appl Meteorol 30:397–412
Sun SX, Liu GQ, Ge WZ (1993) A method of variational analysis combined with Kalman filter for radar rainfall field correction. 26th international conference on radar meteorology, Orman, Amer, Meteor. Soc.755-757
Victor H, Alvarez VH, Aznar M (2010) An efficient approach to optimal interpolation of experimental data. J Taiwan Inst Chem Eng 41(2):184–189
Villarini G, Krajewski WF (2010) Review of the different sources of uncertainty in single polarization radar-based estimates of rainfall. Surv Geophys 31:107–129
Wang GL, Liu LP, Ding YY (2012) Improvement of radar quantitative precipitation estimation based on real-time adjustments to Z-R relationships and inverse distance weighting correction schemes. Adv Atmos Sci 29(3):575–584
Wang LP, Ochoa-Rodriguez S, Simões N, Onof C, Maksimovic Č (2013) Radar-rain gauge data combination techniques: a revision and analysis of their suitability for urban hydrology. Water Sci Technol 68:737–747
Wang HY, Wang GL, Liu LP, Jiang Y, Wang D, Li F (2015) Development of a real-time quality control method for automatic rain gauge data using radar quantitative precipitation estimation. Chin J Atmos Sci 39(1):59–67
Wu MC, Lin GF, Wang LR (2016) Optimal integration of the ensemble forecasts from an ensemble quantitative precipitation forecast experiment. Procedia Eng 154:1291–1297
Yoo C, Park J (2008) Combining radar and rain gauge observations utilizing Gaussian process based regression and support vector learning. J Korean Inst Intel Syst 18(3):297–305
Zhang PC, Dai TP, Fu DS, Wu ZF (1992) Principle and accuracy of adjusting the area precipitation from digital weather radar through variational method. Chin J Atmos Sci 16(2):248–256
Zhang J, Howard K, Langston C (2016) Multi-Radar Multi-Sensor (MRMS) quantitative precipitation estimation: initial operating capabilities. Bull Am Meteorol Soc 97:621–638
Zhao K, Liu GQ, Ge WZ (2001) Precipitation calibration by using Kalman filter to determine the coefficients of the variational equation. Clim Environ Res 6(2):180–185
Acknowledgments
The authors are grateful to Linyi Meteorological Bureau of China for providing Doppler radar data and rain gauge data at sites. The authors would like to acknowledge the anonymous reviewers and the editor for their thoughtful comments and suggestions, which have greatly improved the presentation of this paper.
Funding
This work is financially supported by the Special Fund for Natural Science Foundation of Jiangsu province (BK20141001), by the Meteorological Open Research Fund in Huaihe River basin (HRM201702).
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All authors contributed substantially towards the success of this study. Dr. Shao plays a guiding role in the whole process as first author and corresponding author. She mainly takes charge of experiment design, data analysis, and manuscript writing of this research. Under the guidance of Dr. Shao, Aolin Fu revised the manuscript according to the reviewer’s suggestions. For manuscript improvement, Dr. Zhao corrected errors in spelling, grammar, consistency, word choice, and sentence clarity. Dr. Xu mainly finished the drawing of some figures in the manuscript. Junmei Wu mainly did the preliminary collation of the data.
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Shao, Y., Fu, A., Zhao, J. et al. Improving quantitative precipitation estimates by radar-rain gauge merging and an integration algorithm in the Yishu River catchment, China. Theor Appl Climatol 144, 611–623 (2021). https://doi.org/10.1007/s00704-021-03526-y
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DOI: https://doi.org/10.1007/s00704-021-03526-y