Abstract
Atmospheric weighted mean temperature, Tm, is a key parameter in ground-based GNSS precipitable water (PW) retrieval, especially for a real-time mode. Considering the seasonal variability of the Tm vertical gradient across the globe, a global grid-based Tm model with seasonal vertical adjustments was developed based on 6-hourly ERA-Interim pressure levels product from European Centre for Medium-Range Weather Forecasts (ECMWF) covering the period 2011–2017. The performance of the proposed global Tm model called GTm_R was evaluated by two kinds of data sources, including sounding profiles at 577 globally distributed radiosonde stations and ERA-Interim reanalysis product throughout the year 2018. Our results show the excellent performance of the developed model GTm_R against other models when compared with high-quality ERA-Interim product and radiosonde data, especially in the ocean area and regions with high-elevation terrain. GTm_R can generally achieve a global mean bias/RMSE of − 0.1/3.1 K in contrast to ERA-Interim-derived Tm and − 0.2/3.8 K in comparison with radiosonde-derived Tm, which is corresponding to a 5%-8% improvement against GPT2w and GTm_III across the globe. Moreover, GTm_R can achieve global mean \(\sigma_{{\text{PW}}}\) and \(\sigma_{{\text{PW}}}\)/PW values of 0.26 mm and 1.36%, respectively. For the proportion of PW uncertainty in terms of RMSE below 0.4 mm, GTm_R increased by about 6%, 3%, and 2% over Bevis formula, GTm_III, and GPT2w, respectively. Thus, the developed global Tm model GTm_R that considers seasonal vertical adjustments is capable of deriving accurate and reliable Tm values for real-time or near real-time PW retrieval from GNSS measurements, which will be of great significance to real-time or nowcasting extreme weather forecasting.
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References
Bevis M, Businger S, Herring TA, Rocken C, Anthes RA, Ware RH (1992) GPS meteorology: remote sensing of atmospheric water vapor using the global positioning system. J Geophys Res: Atmos 97(D14):15787–15801
Bevis M, Businger S, Chiswell S, Herring TA, Anthes RA, Rocken C, Ware RH (1994) GPS meteorology: mapping zenith wet delays onto precipitable water. J Appl Meteorol 33(3):379–386
Böhm J, Heinkelmann R, Schuh H (2007) Short note: a global model of pressure and temperature for geodetic applications. J Geodesy 81(10):679–683
Böhm J, Möller G, Schindelegger M, Pain G, Weber R (2015) Development of an improved empirical model for slant delays in the troposphere (GPT2w). GPS Solut 19(3):433–441
Chen P, Yao W, Zhu X (2014) Realization of global empirical model for mapping zenith wet delays onto precipitable water using NCEP re-analysis data. Geophys J Int 198(3):1748–1757
Davis JL, Herring TA, Shapiro II, Rogers AEE, Elgered G (1985) Geodesy by radio interferometry: effects of atmospheric modeling errors on estimates of baseline length. Radio Sci 20(6):1593–1607
Dee DP, Uppala SM, Simmons AJ, Berrisford P, Poli P, Kobayashi S, Bechtold P (2011) The ERA-Interim reanalysis: configuration and performance of the data assimilation system. Q J R Meteorol Soc 137(656):553–597
Durre I, Vose RS, Wuertz DB (2006) Overview of the integrated global radiosonde archive. J Clim 19(1):53–68
Emardson TR, Derks HJ (2000) On the relation between the wet delay and the integrated precipitable water vapour in the European atmosphere. Meteorol Appl 7(1):61–68
He C, Wu S, Wang X, Hu A, Wang Q, Zhang K (2017) A new voxel-based model for the determination of atmospheric weighted mean temperature in GPS atmospheric sounding. Atmos Meas Tech 103(D2):1807–1820
Huang L, Jiang W, Liu L, Chen H, Ye S (2018) A new global grid model for the determination of atmospheric weighted mean temperature in GPS precipitable water vapor. J Geodesy 93(2):159–176
Huang L, Liu L, Chen H, Jiang W (2019) An improved atmospheric weighted mean temperature model and its impact on GNSS precipitable water vapor estimates for China. GPS Solut 23(2):51
Jiang P, Ye S, Lu Y, Liu Y, Chen D, Wu Y (2019) Development of time-varying global gridded Ts–Tm model for precise GPS–PWV retrieval. Atmos Meas Tech 12(2):1233–1249
Li X, Ge M, Dai X, Ren X, Fritsche M, Wickert J, Schuh H (2015) Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo. J Geodesy 89(6):607–635
Li Q, Chen P, Sun L, Ma X (2018) A global weighted mean temperature model based on empirical orthogonal function analysis. Adv Space Res 61(6):1398–1411
Lu C, Li X, Li Z, Heinkelmann R, Nilsson T, Dick G, Schuh H (2016) GNSS tropospheric gradients with high temporal resolution and their effect on precise positioning. J Geophys Res: Atmos 121(2):912–930
Mooney PA, Mulligan FJ, Fealy R (2011) Comparison of ERA-40, ERA-Interim and NCEP/NCAR reanalysis data with observed surface air temperatures over Ireland. Int J Climatol 31(4):545–557
Nilsson T, Elgered G (2008) Long-term trends in the atmospheric water vapor content estimated from ground-based GPS data. J Geophys Res: Atmos 113(D19):1–12
Pacione R, Araszkiewicz A, Brockmann E, Dousa J (2017) EPN-Repro2: a reference GNSS tropospheric data set over Europe. Atmos Meas Tech 10(5):1689–1705
Ross RJ, Rosenfeld S (1997) Estimating mean weighted temperature of the atmosphere for global positioning system applications. J Geophys Res: Atmos 102(D18):21719–21730
Saastamoinen J (1972) Atmospheric correction for the troposphere and stratosphere in radio ranging satellites. Use Artif Satell Geodesy 15:247–251
Sun Z, Zhang B, Yao Y (2019) A global model for estimating tropospheric delay and weighted mean temperature developed with atmospheric reanalysis data from 1979 to 2017. Remote Sens 11(16):1893
Wang J, Zhang L (2008) Systematic errors in global radiosonde precipitable water data from comparisons with ground-based GPS measurements. J Clim 21(10):2218–2238
Wang JH, Zhang LY (2009) Climate applications of a global, 2-hourly atmospheric precipitable water dataset derived from IGS tropospheric products. J Geodesy 83(3–4):209–217
Wang J, Zhang L, Dai A (2005) Global estimates of water-vapor-weighted mean temperature of the atmosphere for GPS applications. J Geophys Res 110(D21):D21101
Wang J, Dai A, Mears C (2016a) Global water vapor trend from 1988 to 2011 and its diurnal asymmetry based on GPS, radiosonde, and microwave satellite measurements. J Clim 29(14):5205–5222
Wang X, Zhang K, Wu S, Fan S, Cheng Y (2016b) Water vapor-weighted mean temperature and its impact on the determination of precipitable water vapor and its linear trend. J Geophys Res: Atmos 121(2):833–852
Yao Y, Zhu S, Yue S (2012) A globally applicable, season-specific model for estimating the weighted mean temperature of the atmosphere. J Geodesy 86(12):1125–1135
Yao Y, Zhang B, Xu C, Chen J (2014a) Analysis of the global Tm − Ts correlation and establishment of the latitude-related linear model. Chin Sci Bull 59(19):2340–2347
Yao Y, Xu C, Zhang B, Cao N (2014b) GTm-III: a new global empirical model for mapping zenith wet delays onto precipitable water vapour. Geophys J Int 197(1):202–212
Yuan Y, Zhang K, Witold R, Choy S, Norman R, Wang CS (2014) Real-time retrieval of precipitable water vapor from GPS precise point positioning. J Geophys Res: Atmospheres. 119(16):10044–10057
Zhang H, Yuan Y, Li W, Ou J, Li Y, Zhang B (2017) GPS PPP-derived precipitable water vapor retrieval based on Tm/Ps from multiple sources of meteorological data sets in China. J Geophys Res: Atmos 122(8):4165–4183
Zhang W, Lou Y, Huang J, Zheng F, Cao Y, Liang H, Liu J (2018) Multiscale variations of precipitable water over China Based on 1999–2015 ground-based GPS observations and evaluations of reanalysis products. J Clim 31(3):945–962
Acknowledgments
We would like to acknowledge the National Oceanic and Atmospheric Administration (NOAA) for the provision of IGRA radiosonde measurements and appreciate the European Centre for Medium-Range Weather Forecasts (ECMWF) for providing ERA-Interim atmospheric reanalysis product. We also thank two anonymous reviewers for their constructive comments. This work was supported by the National Natural Science Foundation of China (Nos. 41374002 and 41404031). Linguo Yuan is funded by the National Program for Support of Top-notch Young Professionals.
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Li, Q., Yuan, L., Chen, P. et al. Global grid-based Tm model with vertical adjustment for GNSS precipitable water retrieval. GPS Solut 24, 73 (2020). https://doi.org/10.1007/s10291-020-00988-x
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DOI: https://doi.org/10.1007/s10291-020-00988-x