楼益栋,周要宗,张卫星,莫智翔,白景娜,张镇驿

• 1:武汉大学卫星导航定位技术研究中心

摘要(Abstract)：

随着北斗卫星导航系统/全球导航卫星系统（BeiDou navigation satellite system/global navigation satellite system,BDS/GNSS）的建设发展和地面基准站的迅猛增加，BDS/GNSS精细水汽处理及应用成为卫星导航定位和大气探测交叉融合的研究热点。围绕BDS/GNSS水汽产品高精度、高分辨率处理及气象和空间大地测量应用研究，从对流层模型、处理方法及产品构建等方面对BDS/GNSS水汽精细化处理研究现状进行了综合梳理，分析了存在的问题和发展趋势，并讨论了精细水汽产品在气候变化分析、天气预报和空间大地测量中的应用现状和前景，以期为卫星导航、气象以及空间大地测量等领域的专家学者提供借鉴和参考。

关键词(KeyWords)： 北斗卫星导航系统/全球导航卫星系统(BeiDou navigation satellite system/global navigation satellite system,BDS/GNSS);大气水汽;GNSS气象;空间大地测量;对流层模型

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（41961144015）;; 中央高校基本科研业务费专项资金（2042022kf1198）

作者(Author): 楼益栋,周要宗,张卫星,莫智翔,白景娜,张镇驿

DOI: 10.14188/j.2095-6045.2022712

参考文献(References)：

• [1]Bevis M,Businger S,Herring T A,et al.GPS Meteorology:Remote Sensing of Atmospheric Water Vapor Using the Global Positioning System[J].Journal of Geophysical Research,1992,97(D14):15787
• [2]Seidel D J,Berger F H,Diamond H J,et al.Reference Upper-Air Observations for Climate:Rationale,Progress,and Plans[J].Bulletin of the American Meteorological Society,2009,90(3):361-369
• [3]Guo F,Li X X,Zhang X H,et al.The Contribution of Multi-GNSS Experiment(MGEX)to Precise Point Positioning[J].Advances in Space Research,2017,59(11):2 714-2 725
• [4]Zhou F,Cao X Y,Ge Y L,et al.Assessment of the Positioning Performance and Tropospheric Delay Retrieval with Precise Point Positioning Using Products from Different Analysis Centers[J].GPS Solutions,2020,24(1):12
• [5]Fritsche M,Dietrich R,Kn?fel C,et al.Impact of Higher-Order Ionospheric Terms on GPS Estimates[J].Geophysical Research Letters,2005,32(23):L23311
• [6]Zhang S C,Fang L,Wang G X,et al.The Impact of Second-Order Ionospheric Delays on the ZWD Estimation with GPS and BDS Measurements[J].GPS Solutions,2020,24(2):41
• [7]Bruyninx C.Comparing GPS-only with GPS+GLONASS Positioning in a Regional Permanent GNSS Network[J].GPS Solutions,2007,11(2):97-106
• [8]Dou?a J.Precise Near Real-Time GNSS Analyses at Geodetic Observatory Pecny-Precise Orbit Determination and Water Vapour Monitoring[J].Acta Geodynamica et Geomaterialia,2010,7(1):7-17
• [9]Dach R,Schmid R,Schmitz M,et al.Improved Antenna Phase Center Models for GLONASS[J].GPSSolutions,2011,15(1):49-65
• [10]Ejigu Y G,Hunegnaw A,Abraha K E,et al.Impact of GPS Antenna Phase Center Models on Zenith Wet Delay and Tropospheric Gradients[J].GPS Solutions,2019,23(1):5
• [11]Tregoning P,Herring T A.Impact of a Priori Zenith Hydrostatic Delay Errors on GPS Estimates of Station Heights and Zenith Total Delays[J].Geophysical Research Letters,2006,33(23):L23303
• [12]Kouba J.Testing of Global Pressure/Temperature(GPT) Model and Global Mapping Function(GMF)in GPS Analyses[J].Journal of Geodesy,2009,83(3):199-208
• [13]Hopfield H S.Tropospheric Effect on Electromagnetically Measured Range:Prediction from Surface Weather Data[J].Radio Science,1971,6(3):357-367
• [14]Saastamoinen J.Atmospheric Correction for the Troposphere and Stratosphere in Radio Ranging Satellites[M]//Henriksen S W,Mancini A,Chovitz B H.The Use of Artificial Satellites for Geodesy.Washington D C:American Geophysical Union,1972
• [15]Black H D.An Easily Implemented Algorithm for the Tropospheric Range Correction[J].Journal of Geophysical Research:Solid Earth,1978,83(B4):1 825-1 828
• [16]Collins J P.Assessment and Development of a Tropospheric Delay Model for Aircraft Users of the Global Positioning System[R].New Brunswick:Department of Geodesy and Geomatics Engineering Technical Report No.203,University of New Brunswick,Fredericton,Canada,1999
• [17]Boehm J,Heinkelmann R,Schuh H.Short Note:AGlobal Model of Pressure and Temperature for Geodetic Applications[J].Journal of Geodesy,2007,81(10):679-683
• [18]Lagler K,Schindelegger M,B?hm J,et al.GPT2:Empirical Slant Delay Model for Radio Space Geodetic Techniques[J].Geophysical Research Letters,2013,40(6):1 069-1 073
• [19]B?hm J,M?ller G,Schindelegger M,et al.Development of an Improved Empirical Model for Slant Delays in the Troposphere (GPT2w)[J].GPS Solutions,2015,19(3):433-441
• [20]Landskron D,B?hm J.VMF3/GPT3:Refined Discrete and Empirical Troposphere Mapping Functions[J].Journal of Geodesy,2018,92(4):349-360
• [21]ESA-Galileo,Galileo Reference Troposphere Model for the User Receiver[Z],ESA Document,ESA-AP-PNGREF/00621-AM,2012
• [22]Song S L,Zhu W Y,Chen Q M,et al.Establishment of a New Tropospheric Delay Correction Model over China Area[J].Science China Physics,Mechanics and Astronomy,2011,54(12):2 271-2 283
• [23]赵静旸，宋淑丽，陈钦明，等.基于垂直剖面函数式的全球对流层天顶延迟模型的建立[J].地球物理学报，2014,57(10):3 140-3 153
• [24]Chen J P,Wang J G,Wang A H,et al.SHAtrop E-ARegional Gridded ZTD Model for China and the Surrounding Areas[J].Remote Sensing,2020,12(1):165
• [25]李薇，袁运斌，欧吉坤，等.全球对流层天顶延迟模型IGGtrop的建立与分析[J].科学通报，2012,57(15):1 317-1 325
• [26]Li W,Yuan Y B,Ou J K,et al.New Versions of the BDS/GNSS Zenith Tropospheric Delay Model IGG-trop[J].Journal of Geodesy,2015,89(1):73-80
• [27]Li W,Yuan Y B,Ou J K,et al.IGGtrop_SH and IGGtrop_r H:Two Improved Empirical Tropospheric Delay Models Based on Vertical Reduction Functions[J].IEEE Transactions on Geoscience and Remote Sensing,2018,56(9):5 276-5 288
• [28]Schüler T,Hein G W,Eissfeller B.On the Use of Numerical Weather Fields for Troposphere Delay Estimation in Wide Area Augmentation Systems[C].Proceedings of GNSS 2000,Royal Institute of Navigation,Edinburgh,Scotland,2000
• [29]Schüler T.The Trop Grid2 Standard Tropospheric Correction Model[J].GPS Solutions,2014,18(1):123-131
• [30]姚宜斌，何畅勇，张豹，等.一种新的全球对流层天顶延迟模型GZTD[J].地球物理学报，2013,56(7):2 218-2 227
• [31]姚宜斌，张豹，严凤，等.两种精化的对流层延迟改正模型[J].地球物理学报，2015,58(5):1 492-1 501
• [32]Boehm J.Vienna Mapping Functions in VLBI Analyses[J].Geophysical Research Letters,2004,31:L01603
• [33]Boehm J,Werl B,Schuh H.Troposphere Mapping Functions for GPS and Very Long Baseline Interferometry from European Centre for Medium-Range Weather Forecasts Operational Analysis Data[J].Journal of Geophysical Research:Solid Earth,2006,111(B2):B02406
• [34]Hersbach H,Bell B,Berrisford P,et al.The ERA5Global Reanalysis[J].Quarterly Journal of the Royal Meteorological Society,2020,146(730):1 999-2 049
• [35]Mateus P,Catal?o J,Mendes V B,et al.An ERA5-Based Hourly Global Pressure and Temperature(HG-PT)Model[J].Remote Sensing,2020,12(7):1098
• [36]Mateus P,Mendes V B,Plecha S M.HGPT2:An ERA5-Based Global Model to Estimate Relative Humidity[J].Remote Sensing,2021,13(11):2179
• [37]Li J Y,Zhang B,Yao Y B,et al.A Refined Regional Model for Estimating Pressure,Temperature,and Water Vapor Pressure for Geodetic Applications in China[J].Remote Sensing,2020,12(11):1713
• [38]Li T,Wang L,Chen R Z,et al.Refining the Empirical Global Pressure and Temperature Model with the ERA5 Reanalysis and Radiosonde Data[J].Journal of Geodesy,2021,95(3):31
• [39]Niell A E.Global Mapping Functions for the Atmosphere Delay at Radio Wavelengths[J].Journal of Geophysical Research:Solid Earth,1996,101(B2):3 227-3 246
• [40]Boehm J,Niell A,Tregoning P,et al.Global Mapping Function (GMF):A New Empirical Mapping Function Based on Numerical Weather Model Data[J].Geophysical Research Letters,2006,33(7):L07304
• [41]Vey S,Dietrich R,Fritsche M,et al.Influence of Mapping Function Parameters on Global GPS Network Analyses:Comparisons Between NMF and IMF[J].Geophysical Research Letters,2006,33(1):1-4
• [42]Dou?a J,Václavovic P,Elias M.Tropospheric Products of the Second GOP European GNSS Reprocessing(1996-2014)[J].Atmospheric Measurement Techniques,2017,10(9):3 589-3 607
• [43]Yuan Y B,Holden L,Kealy A,et al.Assessment of Forecast Vienna Mapping Function 1 for Real-Time Tropospheric Delay Modeling in GNSS[J].Journal of Geodesy,2019,93(9):1 501-1 514
• [44]周要宗，楼益栋，张卫星，等.新一代实时对流层映射函数精度及PPP性能评估[J].武汉大学学报·信息科学版，2021,46(12):1 881-1 888
• [45]Zumberge J F,Heflin M B,Jefferson D C,et al.Precise Point Positioning for the Efficient and Robust Analysis of GPS Data from Large Networks[J].Journal of Geophysical Research:Solid Earth,1997,102(B3):5 005-5 017
• [46]Rocken C,Ware R,van Hove T,et al.Sensing Atmospheric Water Vapor with the Global Positioning System[J].Geophysical Research Letters,1993,20(23):2 631-2 634
• [47]Duan J P,Bevis M,Fang P,et al.GPS Meteorology:Direct Estimation of the Absolute Value of Precipitable Water[J].Journal of Applied Meteorology,1996,35(6):830-838
• [48]楼益栋，戴小蕾，宋伟伟.站间距对GPS卫星高精度钟差估计的影响分析[J].武汉大学学报·信息科学版，2011,36(4):397-400
• [49]张小红，李星星，李盼.GNSS精密单点定位技术及应用进展[J].测绘学报，2017,46(10):1 399-1 407
• [50]Deng Z,Bender M,Dick G,et al.Retrieving Tropospheric Delays from GPS Networks Densified with Single Frequency Receivers[J].Geophysical Research Letters,2009,36(19):308
• [51]Li X X,Zus F,Lu C X,et al.Retrieving of Atmospheric Parameters from Multi-GNSS in Real Time:Validation with Water Vapor Radiometer and Numerical Weather Model[J].Journal of Geophysical Research:Atmospheres,2015,120(14):7 189-7 204
• [52]Lu C X,Chen X H,Liu G,et al.Real-Time Tropospheric Delays Retrieved from Multi-GNSS Observations and IGS Real-Time Product Streams[J].Remote Sensing,2017,9(12):1317
• [53]Dou?a J,Václavovic P,Zhao L W,et al.New Adaptable All-in-one Strategy for Estimating Advanced Tropospheric Parameters and Using Real-Time Orbits and Clocks[J].Remote Sensing,2018,10(2):232
• [54]Hadas T,Hobiger T,Hordyniec P.Considering Different Recent Advancements in GNSS on Real-Time Zenith Troposphere Estimates[J].GPS Solutions,2020,24(4):99
• [55]Ahmed F,Václavovic P,Teferle F N,et al.Comparative Analysis of Real-Time Precise Point Positioning Zenith Total Delay Estimates[J].GPS Solutions,2016,20(2):187-199
• [56]Ding W W,Teferle F N,Kazmierski K,et al.An Evaluation of Real-Time Troposphere Estimation Based on GNSS Precise Point Positioning[J].Journal of Geophysical Research:Atmospheres,2017,122(5):2 779-2 790
• [57]Lu C X,Li X,Cheng J L,et al.Real-Time Tropospheric Delay Retrieval from Multi-GNSS PPP Ambiguity Resolution:Validation with Final Troposphere Products and a Numerical Weather Model[J].Remote Sensing,2018,10(3):481
• [58]Yao Y B,Xu C Q,Shi J B,et al.ITG:A New Global GNSS Tropospheric Correction Model[J].Scientific Reports,2015,5:10273
• [59]Ross R J,Rosenfeld S.Estimating Mean Weighted Temperature of the Atmosphere for Global Positioning System Applications[J].Journal of Geophysical Research:Atmospheres,1997,102(D18):21 719-21 730
• [60]李国平，黄丁发，刘碧全.成都地区地基GPS观测网遥感大气可降水量的初步试验[J].武汉大学学报·信息科学版，2006,31(12):1 086-1 089
• [61]吕弋培，殷海涛，黄丁发，等.成都地区大气平均温度建模及其在GPS/PWV计算中的应用研究[J].测绘科学，2008,33(4):103-105
• [62]Zhang W X,Lou Y D,Huang J F,et al.A Refined Regional Empirical Pressure and Temperature Model over China[J].Advances in Space Research,2018,62(5):1 065-1 074
• [63]Wang J H,Zhang L Y,Dai A G.Global Estimates of Water-Vapor-Weighted Mean Temperature of the Atmosphere for GPS Applications[J].Journal of Geophysical Research,2005,110(D21):D21101
• [64]Zhang W,Zhang H,Liang H,et al.On the Suitability of ERA5 in Hourly GPS Precipitable Water Vapor Retrieval over China[J].Journal of Geodesy,2019,93(10):1 897-1 909
• [65]Blewitt G,Hammond W,Kreemer C.Harnessing the GPS Data Explosion for Interdisciplinary Science[J].EOS,2018,99,doi:10.1029/2018EO104623
• [66]Zhang H X,Yuan Y B,Li W,et al.A Grid-Based Tropospheric Product for China Using a GNSS Network[J].Journal of Geodesy,2018,92(7):765-777
• [67]Zheng F,Lou Y D,Gu S F,et al.Modeling Tropospheric Wet Delays with National GNSS Reference Network in China for Bei Dou Precise Point Positioning[J].Journal of Geodesy,2018,92(5):545-560
• [68]Lou Y D,Huang J F,Zhang W X,et al.A New Zenith Tropospheric Delay Grid Product for Real-Time PPPApplications over China[J].Sensors,2017,18(1):65
• [69]Flores A,Ruffini G,Rius A.4D Tropospheric Tomography Using GPS Slant Wet Delays[J].Annales Geophysicae,2000,18(2):223-234
• [70]Perler D,Geiger A,Hurter F.4D GPS Water Vapor Tomography:New Parameterized Approaches[J].Journal of Geodesy,2011,85(8):539-550
• [71]于胜杰，柳林涛，梁星辉.约束条件对GPS水汽层析解算的影响分析[J].测绘学报，2010,39(5):491-496
• [72]Rohm W.The Ground GNSS Tomography-Unconstrained Approach[J].Advances in Space Research,2013,51(3):501-513
• [73]Zhao Q Z,Yao Y B.An Improved Troposphere Tomographic Approach Considering the Signals Coming from the Side Face of the Tomographic Area[J].Annales Geophysicae,2017,35(1):87-95
• [74]Cao Y C,Chen Y Q,Pingwha L.Wet Refractivity Tomography with an Improved Kalman-Filter Method[J].Advances in Atmospheric Sciences,2006,23(5):693-699
• [75]Rohm W,Zhang K,Bosy J.Limited Constraint,Robust Kalman Filtering for GNSS Troposphere Tomography[J].Atmospheric Measurement Techniques,2014,7(5):1 475-1 486
• [76]夏朋飞，叶世榕，江鹏.GPS/GLONASS组合精密单点定位技术在三维水汽层析中的应用[J].大地测量与地球动力学，2015,35(1):72-76
• [77]宋淑丽.地基GPS网对水汽三维分布的监测及其在气象学中的应用[D].上海：中国科学院研究生院（上海天文台），2004
• [78]Benevides P,Nico G,Catal?o J,et al.Analysis of Galileo and GPS Integration for GNSS Tomography[J].IEEE Transactions on Geoscience and Remote Sensing,2017,55(4):1 936-1 943
• [79]Zhang W X,Lou Y D,Liu W X,et al.Rapid Troposphere Tomography Using Adaptive Simultaneous Iterative Reconstruction Technique[J].Journal of Geodesy,2020,94(8):76
• [80]胡鹏，黄观文，张勤，等.顾及边界入射信号的多模水汽层析方法[J].测绘学报，2020,49(5):557-568
• [81]姚宜斌，赵庆志.GNSS对流层水汽监测研究进展与展望[J].测绘学报，2022,51(6):935-952
• [82]Dai A G,Wang J H,Ware R H,et al.Diurnal Variation in Water Vapor over North America and Its Implications for Sampling Errors in Radiosonde Humidity[J].Journal of Geophysical Research:Atmospheres,2002,107(D10):ACL11-1
• [83]Wang J,Dai A,Mears C A.Global Water Vapor Trend from 1988 to 2011 and Its Diurnal Asymmetry Based on GPS,Radiosonde,and Microwave Satellite Measurements[J].Journal of Climate,2016,29(14):5 205-5 222
• [84]Byun S H,Bar-Sever Y E.A New Type of Troposphere Zenith Path Delay Product of the International GNSS Service[J].Journal of Geodesy,2009,83(3):1-7
• [85]Jones J,Guerova G,Dou?a J,et al.Advanced GNSSTropospheric Products for Monitoring Severe Weather Events and CLIMAte[C].EUREF Symposium,Paris,France,2012
• [86]Dou?a J,Václavovic P.Real-Time Zenith Tropospheric Delays in Support of Numerical Weather Prediction Applications[J].Advances in Space Research,2014,53(9):1 347-1 358
• [87]Gradinarsky L P,Johansson J M,Bouma H R,et al.Climate Monitoring Using GPS[J].Physics and Chemistry of the Earth,Parts A/B/C,2002,27(4/5):335-340
• [88]Vey S,Dietrich R,Fritsche M,et al.On the Homogeneity and Interpretation of Precipitable Water Time Series Derived from Global GPS Observations[J].Journal of Geophysical Research,2009,114 (D10):D10101
• [89]Ning T,Wickert J,Deng Z,et al.Homogenized Time Series of the Atmospheric Water Vapor Content Obtained from the GNSS Reprocessed Data[J].Journal of Climate,2016,29(7):2 443-2 456
• [90]Zhang W X,Lou Y D,Haase J S,et al.The Use of Ground-Based GPS Precipitable Water Measurements over China to Assess Radiosonde and ERA-Interim Moisture Trends and Errors from 1999 to 2015[J].Journal of Climate,2017,30(19):7 643-7 667
• [91]Ross R J,Elliott W P.Radiosonde-Based Northern Hemisphere Tropospheric Water Vapor Trends[J].Journal of Climate,2001,14(7):1 602-1 612
• [92]Parracho A C,Bock O,Bastin S.Global IWV Trends and Variability in Atmospheric Reanalyses and GPS Observations[J].Atmospheric Chemistry and Physics,2018,18(22):16 213-16 237
• [93]Suparta W,Iskandar A,Singh M S J,et al.Analysis of GPS Water Vapor Variability during the 2011 La Ni?a Event over the Western Pacific Ocean[J].Annals of Geophysics,2013,56(3):R0330
• [94]Wang X M,Zhang K F,Wu S Q,et al.The Correlation Between GNSS-Derived Precipitable Water Vapor and Sea Surface Temperature and Its Responses to El Ni?o-Southern Oscillation[J].Remote Sensing of Environment,2018,216:1-12
• [95]Bock O,Bouin M N,Doerflinger E,et al.West African Monsoon Observed with Ground-Based GPS Receivers during African Monsoon Multidisciplinary Analysis(AMMA)[J].Journal of Geophysical Research,2008,113(D21):D21105
• [96]Poan D E,Roehrig R,Couvreux F,et al.West African Monsoon Intraseasonal Variability:A Precipitable Water Perspective[J].Journal of the Atmospheric Sciences,2013,70(4):1 035-1 052
• [97]Singh R P,Dey S,Sahoo A K,et al.Retrieval of Water Vapor Using SSM/I and Its Relation with the Onset of Monsoon[J].Annales Geophysicae,2004,22(8):3 079-3 083
• [98]Puviarasan N,Sharma A K,Ranalkar M,et al.Onset,Advance and Withdrawal of Southwest Monsoon over Indian Subcontinent:A Study from Precipitable Water Measurement Using Ground Based GPS Receivers[J].Journal of Atmospheric and Solar-Terrestrial Physics,2015,122:45-57
• [99]Means J D.GPS Precipitable Water as a Diagnostic of the North American Monsoon in California and Nevada[J].Journal of Climate,2013,26(4):1 432-1 444
• [100]Jin S G,Li Z,Cho J.Integrated Water Vapor Field and Multiscale Variations over China from GPS Measurements[J].Journal of Applied Meteorology and Climatology,2008,47(11):3 008-3 015
• [101]Zhang W X,Lou Y D,Huang J F,et al.Multiscale Variations of Precipitable Water over China Based on1999-2015 Ground-Based GPS Observations and Evaluations of Reanalysis Products[J].Journal of Climate,2018,31(3):945-962
• [102]Wang J H,Zhang L Y,Dai A G,et al.A Near-Global,2-Hourly Data Set of Atmospheric Precipitable Water from Ground-Based GPS Measurements[J].Journal of Geophysical Research,2007,112(D11):D11107
• [103]Jakobson E,Ohvril H,Elgered G.Diurnal Variability of Precipitable Water in the Baltic Region,Impact on transmittance of the Direct Solar Radiation[J].Boreal Environment Research,2009,14:45-55
• [104]Ortiz de Galisteo J P,Cachorro V,Toledano C,et al.Diurnal Cycle of Precipitable Water Vapor over Spain[J].Quarterly Journal of the Royal Meteorological Society,2011,137(657):948-958
• [105]Radhakrishna B,Fabry F,Braun J J,et al.Precipitable Water from GPS over the Continental United States:Diurnal Cycle,Intercomparisons with NARR,and Link with Convective Initiation[J].Journal of Climate,2015,28(7):2 584-2 599
• [106]Chen J N,Li G P.Diurnal Variations of GroundBased GPS-PWV Under Different Solar Radiation Intensity in the Chengdu Plain[J].Journal of Geodynamics,2013,72:81-85
• [107]Singh R P,Mishra N C,Verma A,et al.Total Precipitable Water over the Arabian Ocean and the Bay of Bengal Using SSM/I Data[J].International Journal of Remote Sensing,2000,21(12):2 497-2 503
• [108]Champollion C.GPS Monitoring of the Tropospheric Water Vapor Distribution and Variation During the 9September 2002 Torrential Precipitation Episode in the Cévennes(Southern France)[J].Journal of Geophysical Research,2004,109(D24):D24102
• [109]Zhang K F,Manning T,Wu S Q,et al.Capturing the Signature of Severe Weather Events in Australia Using GPS Measurements[J].IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing,2015,8(4):1 839-1 847
• [110]Benevides P,Catalao J,Miranda P M A.On the Inclusion of GPS Precipitable Water Vapour in the Nowcasting of Rainfall[J].Natural Hazards and Earth System Sciences,2015,15(12):2 605-2 616
• [111]Yao Y B,Shan L L,Zhao Q Z.Establishing a Method of Short-Term Rainfall Forecasting Based on GNSS-Derived PWV and Its Application[J].Scientific Reports,2017,7:12465
• [112]Sapucci L F,Machado L A T,de Souza E M,et al.Global Positioning System Precipitable Water Vapour(GPS-PWV) Jumps before Intense Rain Events:APotential Application to Nowcasting[J].Meteorological Applications,2019,26(1):49-63
• [113]Manandhar S,Dev S,Lee Y H,et al.A Data-Driven Approach for Accurate Rainfall Prediction[J].IEEETransactions on Geoscience and Remote Sensing,2019,57(11):9 323-9 331
• [114]Zhao Q Z,Liu Y,Ma X W,et al.An Improved Rainfall Forecasting Model Based on GNSS Observations[J].IEEE Transactions on Geoscience and Remote Sensing,2020,58(7):4 891-4 900
• [115]Benevides P,Catalao J,Nico G.Neural Network Approach to Forecast Hourly Intense Rainfall Using GNSS Precipitable Water Vapor and Meteorological Sensors[J].Remote Sensing,2019,11(8):966
• [116]Manandhar S,Lee Y H,Meng Yusong.GPS-PWVBased Improved Long-Term Rainfall Prediction Algorithm for Tropical Regions[J].Remote Sensing,2019,11(22):2643
• [117]Liu Y,Zhao Q Z,Yao W Q,et al.Short-Term Rainfall Forecast Model Based on the Improved BP-NN Algorithm[J].Scientific Reports,2019,9:19751
• [118]Li H B,Wang X M,Zhang K F,et al.A Neural Network-Based Approach for the Detection of Heavy Precipitation Using GNSS Observations and Surface Meteorological Data[J].Journal of Atmospheric and SolarTerrestrial Physics,2021,225:105763
• [119]Ducrocq V,Ricard D,Lafore J P,et al.Storm-Scale Numerical Rainfall Prediction for Five Precipitating Events over France:On the Importance of the Initial Humidity Field[J].Weather and Forecasting,2002,17(6):1 236-1 256
• [120]Vedel H,Huang X Y.Impact of Ground Based GPSData on Numerical Weather Prediction[J].Journal of the Meteorological Society of Japan SerⅡ，2004,82(1B):459-472
• [121]Poli P,Moll P,Rabier F,et al.Forecast Impact Studies of Zenith Total Delay Data from European near Real-Time GPS Stations in Météo France 4DVAR[J].Journal of Geophysical Research,2007,112(D6):D06114
• [122]Lindskog M,Ridal M,Thorsteinsson S,et