{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:46:56Z","timestamp":1760143616702,"version":"build-2065373602"},"reference-count":54,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2024,2,18]],"date-time":"2024-02-18T00:00:00Z","timestamp":1708214400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Research and Development Projects of Hebei Province","award":["22375404D","21kyd06"],"award-info":[{"award-number":["22375404D","21kyd06"]}]},{"name":"Research and Development Projects of Hebei Provincial Meteorological Bureau","award":["22375404D","21kyd06"],"award-info":[{"award-number":["22375404D","21kyd06"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Using the SWAN (Severe Weather Automatic Nowcasting) maximum reflectivity mosaic product and the lightning positioning observations (LPOs) from the ADTD (Advanced Direction and Time of Arrival Detection) system obtained during the 2018\u20132020 warm season (May to September), adding multi-characteristic LPO parameters in addition to lightning density, the retrieval relationship between lightning and maximum proxy reflectivity, deemed FRST, is constructed by using random forest. The FRST is compared with two empirical relationships from the GSI (Gridpoint Statistical Interpolation) assimilation system, and the results show that the FRST retrieved result better reflects the frequency distribution structure and peak interval of maximum reflectivity. The correlation coefficient between the FRST retrieved result and the observed maximum reflectivity is 0.7037, which is 3.38 (3.12) times greater than that of empirical GSI relationships. The root mean square error and the mean absolute error are 50.85% (28.05%) and 57.15% (35.19%) lower than those for the empirical GSI relationships, respectively. The equitable threat score (ETS) and bias score (BIAS) for FRST are better than those of the empirical GSI relationships in all three maximum reflectivity intervals.<\/jats:p>","DOI":"10.3390\/rs16040719","type":"journal-article","created":{"date-parts":[[2024,2,20]],"date-time":"2024-02-20T07:50:26Z","timestamp":1708415426000},"page":"719","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Retrieval Relationship between Lightning and Maximum Proxy Reflectivity Based on Random Forest"],"prefix":"10.3390","volume":"16","author":[{"given":"Junhong","family":"Yin","sequence":"first","affiliation":[{"name":"Key Laboratory of Meteorology and Ecological Environment of Hebei Province, Shijiazhuang 050021, China"},{"name":"China Meteorological Administration Xiong\u2019an Atmospheric Boundary Layer Key Laboratory, Xiong\u2019an New Area 071800, China"},{"name":"Hebei Provincial Institute of Meteorological Sciences, Shijiazhuang 050021, China"}]},{"given":"Liqing","family":"Tian","sequence":"additional","affiliation":[{"name":"Key Laboratory of Meteorology and Ecological Environment of Hebei Province, Shijiazhuang 050021, China"},{"name":"China Meteorological Administration Xiong\u2019an Atmospheric Boundary Layer Key Laboratory, Xiong\u2019an New Area 071800, China"},{"name":"Hebei Provincial Institute of Meteorological Sciences, Shijiazhuang 050021, China"}]},{"given":"Kuo","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Aviation Meteorology, College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China"}]},{"given":"Weiguang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Hebei Jiyun Meteorological Technology Service Co., Ltd., Shijiazhuang 050021, China"}]},{"given":"Lingkun","family":"Ran","sequence":"additional","affiliation":[{"name":"Laboratory of Cloud Precipitation Physics and Severe Storms, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,18]]},"reference":[{"key":"ref_1","first-page":"1054","article-title":"Recent advances in research of lightning meteorology","volume":"72","author":"Qie","year":"2014","journal-title":"Acta Meteorol. Sin."},{"key":"ref_2","first-page":"46","article-title":"Understanding the dynamical-microphysical-electrical processes associated with severe thunderstorms over the Beijing metropolitan region","volume":"51","author":"Qie","year":"2021","journal-title":"Sci. China Earth Sci."},{"key":"ref_3","first-page":"873","article-title":"Lightning activity in the Pre-TC squall line of typhoon Lekima (2019) observed by FY-4A LMI and its relationship with convective evolution","volume":"36","author":"Lin","year":"2021","journal-title":"Remote Sens. Technol. Appl."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1007\/s11430-016-5279-7","article-title":"Occurrence conditions of positive cloud-to-ground flashes in severe thunderstorms","volume":"59","author":"Guo","year":"2016","journal-title":"Sci. China (Earth Sci.)"},{"key":"ref_5","first-page":"1165","article-title":"Influence of FY-4A lightning data on numerical forecast of convective weather","volume":"46","author":"Xu","year":"2020","journal-title":"Meteorol. Mon."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Chen, Y.D., Yu, Z., Han, W., He, J., and Chen, M. (2020). Case study of a retrieval method of 3D proxy reflectivity from FY-4A lightning data and its impact on the assimilation and forecasting for severe rainfall storms. Remote Sens., 12.","DOI":"10.3390\/rs12071165"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1175\/MWR-D-19-0396.1","article-title":"Lightning data assimilation scheme in a 4DVAR system and its impact on very short-term convective forecasting","volume":"149","author":"Xiao","year":"2021","journal-title":"Mon. Weather. Rev."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"12296","DOI":"10.1002\/2017JD027340","article-title":"Improving lightning and precipitation prediction of severe convection using lightning data assimilation with NCAR WRF-RTFDDA","volume":"122","author":"Wang","year":"2017","journal-title":"J. Geophys. Res. Atmos."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.atmosres.2019.02.001","article-title":"Lightning data assimilation with comprehensively nudging water contents at cloud-resolving scale using WRF model","volume":"221","author":"Chen","year":"2019","journal-title":"Atmos. Res."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Liu, P., Yang, Y., Xin, Y., and Wang, C. (2021). Impact of lightning data assimilation on forecasts of a leeward slope precipitation event in the western margin of the Junggar Basin. Remote Sens., 13.","DOI":"10.3390\/rs13183584"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Wang, Y., Yang, Y., Liu, D.X., Zhang, D.B., Yao, W., and Wang, C.H. (2017). A case study of assimilating lightning-proxy relative humidity with WRF-3DVAR. Atmosphere, 8.","DOI":"10.3390\/atmos8030055"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"012010","DOI":"10.1088\/1742-6596\/1604\/1\/012010","article-title":"Interlink between lightning activity of hailstorms and their radar characteristics","volume":"1604","author":"Abshaev","year":"2020","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"105166","DOI":"10.1016\/j.atmosres.2020.105166","article-title":"The relationship between lightning flash rate and ice-related volume derived from dual-polarization radar","volume":"248","author":"Hayashi","year":"2021","journal-title":"Atmos. Res."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"105350","DOI":"10.1016\/j.jastp.2020.105350","article-title":"On the association between lightning and precipitation microphysics","volume":"207","author":"Chatterjee","year":"2020","journal-title":"J. Atmos. Sol.-Terr. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"e2020JD033330","DOI":"10.1029\/2020JD033330","article-title":"A method to update model kinematic states by assimilating satellite-observed total lightning data to improve convective analysis and forecasting","volume":"125","author":"Chen","year":"2020","journal-title":"J. Geophys. Res. Atmos."},{"key":"ref_16","unstructured":"Weygandt, S.S., Benjamin, S.G., Brown, J.M., and Koch, S.E. (2006, January 31). Assimilation of lightning data into RUC model forecasting. Proceedings of the 2nd Conference on Meteorological Applications of Lightning Data, Tucson, AZ, USA."},{"key":"ref_17","unstructured":"Weygandt, S.S., Hu, M., Benjamin, S.G., Smirnova, T.G., Brundage, K.J., and Brown, J.M. (2008, January 20\u201324). Assimilation of lightning data using a diabatic digital filter within the Rapid Update Cycle. Proceedings of the 12th Conference on IOAS-AOLS, New Orleans, LA, USA."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1175\/1520-0493(1994)122<0341:TIOASD>2.0.CO;2","article-title":"The impact of assimilating satellite-derived precipitation rates on numerical simulations of the ERICA IOP 4 cyclone","volume":"122","author":"Manobianco","year":"1994","journal-title":"Mon. Weather. Rev."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1961","DOI":"10.1175\/MWR2957.1","article-title":"Improving convective precipitation forecasting through assimilation of regional lightning measurements in a mesoscale model","volume":"133","author":"Papadopoulos","year":"2005","journal-title":"Mon. Weather. Rev."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1007\/s13351-017-6133-3","article-title":"Assimilation of total lightning data using the three-dimensional variational method at convection-allowing resolution","volume":"31","author":"Zhang","year":"2017","journal-title":"J. Meteorol. Res."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/j.atmosres.2014.04.012","article-title":"Application of total-lightning data assimilation in a mesoscale convective system based on the WRF model","volume":"145\u2013146","author":"Qie","year":"2014","journal-title":"Atmos. Res."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2609","DOI":"10.1175\/MWR-D-11-00299.1","article-title":"Application of a lightning data assimilation technique in the WRF-ARW model at cloud-resolving scales for the tornado outbreak of 24 May 2011","volume":"140","author":"Fierro","year":"2012","journal-title":"Mon. Weather. Rev."},{"key":"ref_23","first-page":"442","article-title":"Assimilation of lightning data through comprehensively nudging water contents at the cloud-resolving scale","volume":"75","author":"Chen","year":"2017","journal-title":"Acta Meteorol. Sin."},{"key":"ref_24","first-page":"761","article-title":"Assimilating cloud-to-ground lightning data using ensemble square root filter","volume":"33","author":"Wang","year":"2015","journal-title":"J. Arid. Meteorol."},{"key":"ref_25","first-page":"131","article-title":"Application of lightning location and radar data in cloud analysis system and numerical experiments","volume":"43","author":"Sun","year":"2019","journal-title":"Chin. J. Atmos. Sci."},{"key":"ref_26","first-page":"378","article-title":"Influence of LMIE lightning data of FY4A on cloud information initialization and numerical experiment","volume":"39","author":"Huang","year":"2020","journal-title":"Plateau Meteorol."},{"key":"ref_27","first-page":"769","article-title":"Comparative analysis and numerical simulation of lightning detection data from FY-4A satellite and ADTD for rainstorm in Mianning, Sichuan Province","volume":"47","author":"Zhao","year":"2023","journal-title":"Chin. J. Atmos. Sci."},{"key":"ref_28","first-page":"1320","article-title":"Analysis of the relationship between lightning flashes and radar echo based on terrain difference","volume":"38","author":"Sun","year":"2019","journal-title":"Plateau Meteorol."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"863","DOI":"10.5194\/angeo-20-863-2002","article-title":"Some features of stepped and dart-stepped leaders near the ground in natural negative cloud-to-ground lightning discharges","volume":"20","author":"Qie","year":"2002","journal-title":"Ann. Geophys."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"745","DOI":"10.2151\/jmsj.80.745","article-title":"Characteristics of cloud-to-ground lightning in Chinese inland plateau","volume":"80","author":"Qie","year":"2002","journal-title":"J. Meteorol. Soc. Jpn."},{"key":"ref_31","first-page":"383","article-title":"The spatial and temporal distribution for lightning of various clouds system","volume":"21","author":"Lin","year":"2005","journal-title":"J. Trop. Meteorol."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.atmosres.2004.11.034","article-title":"The possible charge structure of thunderstorm and lightning discharges in northeastern verge of Qinghai-Tibetan Plateau","volume":"76","author":"Qie","year":"2005","journal-title":"Atmos. Res."},{"key":"ref_33","first-page":"167","article-title":"Synthetical analysis of a severe storm event using lightning and Doppler radar data","volume":"33","author":"Yang","year":"2005","journal-title":"Meteorol. Sci. Technol."},{"key":"ref_34","first-page":"501","article-title":"Observation and model analyses of positive cloud-to-ground lightning in mesoscale convective systems","volume":"6","author":"Yan","year":"1992","journal-title":"Acta Meteorol. Sin."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1175\/1520-0493(2001)129<0999:CTGLAI>2.0.CO;2","article-title":"Cloud-to-ground lightning activity in the contiguous United States from 1995 to 1999","volume":"129","author":"Zajac","year":"2001","journal-title":"Mon. Weather. Rev."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1002\/sam.10128","article-title":"Using spatiotemporal relational random forests to improve our understanding of severe weather processes","volume":"4","author":"Mcgovern","year":"2011","journal-title":"Stat. Anal. Data Min."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s10994-013-5346-7","article-title":"Using random forests to diagnose aviation turbulence","volume":"95","author":"Williams","year":"2014","journal-title":"Mach. Learn."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1175\/WAF-D-15-0113.1","article-title":"Probabilistic forecasts of mesoscale convective system initiation using the random forest data mining technique","volume":"31","author":"Ahijevych","year":"2016","journal-title":"Weather. Forecast."},{"key":"ref_39","first-page":"1555","article-title":"Forecasting and classification of severe convective weather based on numerical forecast and random forest algorithm","volume":"44","author":"Li","year":"2018","journal-title":"Meteorol. Mon."},{"key":"ref_40","first-page":"38","article-title":"Amendment and analysis of observation data for lightning positioning devices","volume":"36","author":"Tian","year":"2008","journal-title":"East China Electr. Power"},{"key":"ref_41","first-page":"530","article-title":"Error analysis and correction of lightning location data in Shenzhen","volume":"43","author":"Zeng","year":"2015","journal-title":"Meteorol. Sci. Technol."},{"key":"ref_42","first-page":"1115","article-title":"Comparative analysis of SAFIR and ADTD lightning location data over Beijing and its circumjacent regions","volume":"36","author":"Li","year":"2017","journal-title":"Plateau Meteorol."},{"key":"ref_43","first-page":"491","article-title":"Characteristic analysis of multi-return strokes of cloud-to-ground lightning in Zhejiang based on ADTD data","volume":"49","author":"Cui","year":"2021","journal-title":"Meteorol. Sci. Technol."},{"key":"ref_44","first-page":"669","article-title":"Characteristics of cloud-to-ground flashes in Zhejiang and Gansu areas","volume":"28","author":"Liu","year":"2009","journal-title":"Plateau Meteorol."},{"key":"ref_45","first-page":"160","article-title":"Analysis of the 2009-2012 lightning distribution characteristics in China","volume":"41","author":"Wang","year":"2015","journal-title":"Meteorol. Mon."},{"key":"ref_46","first-page":"638","article-title":"Self-evaluation on detection efficiency of ADTD lightning location network in Beijing","volume":"46","author":"Wang","year":"2018","journal-title":"Meteorol. Sci. Technol."},{"key":"ref_47","first-page":"144","article-title":"Analysis of characteristics of ground flash in Chongqing based on ADTD lightning location data","volume":"38","author":"Ren","year":"2022","journal-title":"J. Meteorol. Environ."},{"key":"ref_48","first-page":"1206","article-title":"Influence of regional altitude on the distribution of cloud-to-ground lightning parameters","volume":"46","author":"Wang","year":"2020","journal-title":"High Volt. Eng."},{"key":"ref_49","first-page":"38","article-title":"Three-dimensional cloud initial field created and applied to GRAPES numerical weather prediction nowcasting","volume":"28","author":"Zhu","year":"2017","journal-title":"J. Appl. Meteorol. Sci."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1010933404324","article-title":"Random forests","volume":"45","author":"Breiman","year":"2001","journal-title":"Mach. Learn."},{"key":"ref_51","unstructured":"Houze, R.A. (1993). Cloud Dynamics, Academic Press."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"1978","DOI":"10.1175\/1520-0450(1995)034<1978:CCOTDS>2.0.CO;2","article-title":"Climatological characterization of three-dimensional storm structure from operational radar and rain gauge data","volume":"34","author":"Steiner","year":"1995","journal-title":"J. Appl. Meteorol."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1175\/1520-0434(1998)013<0860:MCSITS>2.0.CO;2","article-title":"Mesoscale convective systems in the southeast United States during 1994-95: A survey","volume":"13","author":"Geerts","year":"1998","journal-title":"Weather. Forecast."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"3413","DOI":"10.1175\/1520-0493(2001)129<3413:OMOMMC>2.0.CO;2","article-title":"Organizational modes of midlatitude mesoscale convective systems","volume":"128","author":"Parker","year":"2000","journal-title":"Mon. Weather. Rev."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/4\/719\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:01:48Z","timestamp":1760104908000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/4\/719"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,18]]},"references-count":54,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["rs16040719"],"URL":"https:\/\/doi.org\/10.3390\/rs16040719","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2024,2,18]]}}}