Evaluation and selection of an appropriate Global Geopotential Model over the Territory of Vietnam

Authors

1

DOI:

https://doi.org/10.5281/zenodo.18787687

Keywords:

GIS, Climate change, GNSS
Received 2025-10-20
Published 2026-04-30

Abstract

The purpose of this study is to evaluate and select the most suitable Global Geopotential Model (GGM) for the territory of Vietnam. Over the past two decades, many GGMs have been developed worldwide. Based on comparisons with GPS/levelling data in various countries, six of the best-performing models were selected for testing. These models were compared with GPS/levelling data from 818 points across Vietnam. The results show that the deviations follow a normal distribution and that the correlation between model-derived height anomalies and GPS/levelling data is very strong. The accuracy of the six models ranges from ±0.298 m to ±0.159 m. Among them, the XGM2019e model is the most suitable for Vietnam, exhibiting the smallest standard deviation and the best correlation with GPS/levelling data. Large deviations are mainly found in the northwestern mountainous region, where levelling measurements are difficult to obtain. The findings of this study can serve as a reference for selecting an appropriate GGM for geodesy applications

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References

[1] A. H. Pavlis, S. A. Holmes, S. C. Kenyon, and J. K. Factor, “The development and evaluation of the Earth Gravitational Model 2008 (EGM2008),” J. Geophys. Res. Solid Earth, vol. 117, B04406, 2012.

[2] M. Gilardoni, M. Reguzzoni, and D. Sampietro, “GECO: A global gravity model by locally combining GOCE data and EGM2008,” J. Geod., vol. 90, pp. 933–947, 2016.

[3] R. Pail et al., “The combined global gravity field model XGM2019e,” J. Geod., vol. 95, no. 3, pp. 1–19, 2021.

[4] M. van der Meijde, A. E. Slobbe, and R. Klees, “GOCE data, models, and applications: A review,” Int. J. Appl. Earth Obs. Geoinf., vol. 35, pp. 4–15, 2015.

[5] W. E. Featherstone and J. F. Kirby, “The reduction of aliasing in gravity anomalies and geoid heights using digital terrain data,” Geophys. J. Int., vol. 141, pp. 204–212, 2000.

[6] Z. Hirt, M. Kuhn, W. Featherstone, and M. Claessens, “Evaluation of ultra-high-degree global geopotential models,” J. Geod., vol. 87, pp. 409–424, 2013.

[7] D. T. Vu, S. Bruinsma, and S. Bonvalot, “A high-resolution gravimetric quasigeoid model for Vietnam,” Earth Planets Space, vol. 71, p. 65, 2019.

[8] H. T. Pham, “Performance evaluation of high-degree global gravity models over Vietnam,” Eur. Phys. J. Plus, vol. 138, no. 7, p. 624, 2023.

[9] N. V. Sang, P. V. Tuyen, N. V. Lam, O. B. Andersen, R. Forsberg, and B. T. Dieu, “Marine gravity anomaly mapping for the Gulf of Tonkin area (Vietnam) using CryoSat-2 and SARAL/AltiKa satellite altimetry data,” Adv. Space Res., vol. 66, no. 3, pp. 505–519, 2020, doi: 10.1016/j.asr.2020.04.051.

[10] N. T. Lê, “Nghiên cứu xác định dị thường độ cao trên cơ sở kết hợp các dữ liệu mặt đất và vệ tinh, áp dụng cho khu vực miền Trung Việt Nam,” Luận án Tiến sĩ Kỹ thuật, Trường Đại học Mỏ - Địa chất, 2023.

[11] D. V. Mong, N. V. Sang, T. T. Dung, N. T. Le, K. V. Long, N. D. Hai, T. M. Cuong, N. T. Dai, and T. T. Duong, “Evaluation of the precision of some new global Earth gravitational models in the East Vietnam Sea,” Vietnam J. Mar. Sci. Technol., vol. 23, no. 3, pp. 265–277, 2023, doi: 10.15625/1859-3097/18635.

[12] E. S. Ince, F. Barthelmes, S. Reißland, K. Elger, C. Förste, F. Flechtner, and H. Schuh, “ICGEM—15 years of successful collection and distribution of global gravitational models, associated services, and future plans,” Earth Syst. Sci. Data, vol. 11, pp. 647–674, 2019, doi: 10.5194/essd-11-647-2019.

[13] United States Defense Mapping Agency, Department of Defense World Geodetic System 1984: Its Definition and Relationships with Local Geodetic Systems, Tech. Rep. 8350, 1987.

[14] F. Barthelmes, “Definition of functionals of the geopotential and their calculation from spherical harmonic models: Theory and formulas used by the calculation service of the International Centre for Global Earth Models (ICGEM),” GFZ German Research Centre for Geosciences, 2009.

[15] B. Hofmann-Wellenhof and H. Moritz, Physical Geodesy, 2nd ed. Vienna, Austria: Springer Wien New York, 2006.

[16] Đ. N. Chinh, N. X. Bắc, B. T. H. Thắm, T. T. T. Trang, and N. T. K. Anh, Giáo trình Lý thuyết sai số. Hà Nội, Việt Nam: Trường Đại học Tài nguyên và Môi trường Hà Nội, 2015.

[17] J. W. McKean and S. J. Sheather, “Statistic, nonparametric,” in Encyclopedia of Physical Science and Technology, 3rd ed., R. A. Meyers, Ed. New York, NY, USA: Academic Press, 2003, pp. 891–914.

Published

2026-04-30

How to Cite

[1]
“Evaluation and selection of an appropriate Global Geopotential Model over the Territory of Vietnam”, GeocartaGIS, vol. 12, no. 01, pp. 32–42, Apr. 2026, doi: 10.5281/zenodo.18787687.

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