Current - Issue
Review Article
A Comprehensive Review of Gap-Filling and Forecasting Methods for GRACE/GRACE-FO Terrestrial Water Storage Anomalies with Emphasis on Arid and Semi-Arid Regions
Ahmed M.Raslan1
Mona A.Hagras2
Mahmoud I. Khalil3
Samia Saad4
Mohamed Elfawy5
1 2 4 5 Ain Shams University, Faculty of Engineering, Irrigation & Hydraulics Department, 1 Elsarayat St., Abbaseya, Cairo, Egypt. 3 Ain Shams University, Faculty of Engineering, Computer and Systems Engineering Department, 1 Elsarayat St., Abbaseya, Cairo, Egypt.
Published Online: May-June 2026
Pages: 91-101
Cite this article
↗ https://www.doi.org/10.59256/ijire.20260703010References
1. R.G. Taylor, B. Scanlon, P. Döll, M. Rodell, R. van Beek, Y. Wada, L. Longuevergne, M. Leblanc, J.S. Famiglietti, M. Edmunds, L.
Konikow, T.R. Green, J. Chen, M. Taniguchi, M.F.P. Bierkens, A. MacDonald, Y. Fan, R.M. Maxwell, Y. Yechieli, J.J. Gurdak,
D.M. Allen, M. Shamsudduha, K. Hiscock, P.J.-F. Yeh, I. Holman, H. Treidel, Ground water and climate change, Nat. Clim. Chang.
3 (2013) 322–329. https://doi.org/10.1038/nclimate1744.
2. J.S. Famiglietti, The global groundwater crisis, Nat. Clim. Chang. 4 (2014) 945–948. https://doi.org/10.1038/nclimate2425.
3. P. Döll, H. Hoffmann-Dobrev, F.T. Portmann, S. Siebert, A. Eicker, M. Rodell, G. Strassberg, B.R. Scanlon, Impact of water
withdrawals from groundwater and surface water on continental water storage variations, J. Geodyn. 59–60 (2012) 143–156.
https://doi.org/https://doi.org/10.1016/j.jog.2011.05.001.
4. T. Gleeson, Y. Wada, M.F.P. Bierkens, L.P.H. van Beek, Water balance of global aquifers revealed by groundwater footprint, Nature
488 (2012) 197–200. https://doi.org/10.1038/nature11295.
5. F.W. Landerer, F.M. Flechtner, H. Save, F.H. Webb, T. Bandikova, W.I. Bertiger, S. V Bettadpur, S.H. Byun, C. Dahle, H. Dobslaw,
E. Fahnestock, N. Harvey, Z. Kang, G.L.H. Kruizinga, B.D. Loomis, C. McCullough, M. Murböck, P. Nagel, M. Paik, N. Pie, S.
Poole, D. Strekalov, M.E. Tamisiea, F. Wang, M.M. Watkins, H.-Y. Wen, D.N. Wiese, D.-N. Yuan, Extending the Global Mass
Change Data Record: GRACE Follow-On Instrument and Science Data Performance, Geophys. Res. Lett. 47 (2020) e2020GL088306.
https://doi.org/https://doi.org/10.1029/2020GL088306.
6. B.D. Tapley, S. Bettadpur, M. Watkins, C. Reigber, The gravity recovery and climate experiment: Mission overview and early results,
Geophys. Res. Lett. 31 (2004). https://doi.org/https://doi.org/10.1029/2004GL019920.
7. S. Swenson, J. Wahr, Methods for inferring regional surface-mass anomalies from Gravity Recovery and Climate Experiment
(GRACE) measurements of time-variable gravity, J. Geophys. Res. Solid Earth 107 (2002) ETG 3-1-ETG 3-13.
https://doi.org/https://doi.org/10.1029/2001JB000576.
8. J. Wahr, M. Molenaar, F. Bryan, Time variability of the Earth’s gravity field: Hydrological and oceanic effects and their possible
detection using GRACE, J. Geophys. Res. Solid Earth 103 (1998) 30205–30229. https://doi.org/https://doi.org/10.1029/98JB02844.
9. M. Rodell, I. Velicogna, J.S. Famiglietti, Satellite-based estimates of groundwater depletion in India, Nature 460 (2009) 999–1002.
https://doi.org/10.1038/nature08238.
10. B.R. Scanlon, L. Longuevergne, D. Long, Ground referencing GRACE satellite estimates of groundwater storage changes in the
California Central Valley, USA, Water Resour. Res. 48 (2012). https://doi.org/https://doi.org/10.1029/2011WR011312.
11. Z. Sun, D. Long, W. Yang, X. Li, Y. Pan, Reconstruction of GRACE Data on Changes in Total Water Storage Over the Global Land
Surface and 60 Basins, Water Resour. Res. 56 (2020) e2019WR026250. https://doi.org/https://doi.org/10.1029/2019WR026250.
12. V. Humphrey, L. Gudmundsson, GRACE-REC: a reconstruction of climate-driven water storage changes over the last century, Earth
Syst. Sci. Data 11 (2019) 1153–1170. https://doi.org/10.5194/essd-11-1153-2019.
13. W.M. Seyoum, A.M. Milewski, Improved methods for estimating local terrestrial water dynamics from GRACE in the Northern High
Plains, Adv. Water Resour. 110 (2017) 279–290. https://doi.org/https://doi.org/10.1016/j.advwatres.2017.10.021.
14. B.R. Scanlon, Z. Zhang, H. Save, A.Y. Sun, H. Müller Schmied, L.P.H. van Beek, D.N. Wiese, Y. Wada, D. Long, R.C. Reedy, L.
Longuevergne, P. Döll, M.F.P. Bierkens, Global models underestimate large decadal declining and rising water storage trends relative
to GRACE satellite data, Proceedings of the National Academy of Sciences 115 (2018) E1080–E1089.
https://doi.org/10.1073/pnas.1704665115.
15. D. Long, Y. Shen, A. Sun, Y. Hong, L. Longuevergne, Y. Yang, B. Li, L. Chen, Drought and flood monitoring for a large karst
plateau in Southwest China using extended GRACE data, Remote Sens. Environ. 155 (2014) 145–160.
https://doi.org/https://doi.org/10.1016/j.rse.2014.08.006.
16. O.A. Fallatah, M. Ahmed, H. Save, A.S. Akanda, Quantifying temporal variations in water resources of a vulnerable middle east ern
transboundary aquifer system, Hydrol. Process. 31 (2017) 4081–4091. https://doi.org/https://doi.org/10.1002/hyp.11285.17. A.S. Richey, B.F. Thomas, M.-H. Lo, J.T. Reager, J.S. Famiglietti, K. Voss, S. Swenson, M. Rodell, Quantifying renewable
groundwater stress with GRACE, Water Resour. Res. 51 (2015) 5217–5238. https://doi.org/https://doi.org/10.1002/2015WR017349.
18. W. Jing, L. Yao, X. Zhao, P. Zhang, Y. Liu, X. Xia, J. Song, J. Yang, Y. Li, C. Zhou, Understanding Terrestrial Water Storage
Declining Trends in the Yellow River Basin, Journal of Geophysical Research: Atmospheres 124 (2019) 12963–12984.
https://doi.org/https://doi.org/10.1029/2019JD031432.
19. F. Li, J. Kusche, N. Chao, Z. Wang, A. Löcher, Long-Term (1979-Present) Total Water Storage Anomalies Over the Global Land
Derived by Reconstructing GRACE Data, Geophys. Res. Lett. 48 (2021) e2021GL093492.
https://doi.org/https://doi.org/10.1029/2021GL093492.
20. Z. Chen, W. Zheng, W. Yin, X. Li, G. Zhang, J. Zhang, Improving the Spatial Resolution of GRACE-Derived Terrestrial Water
Storage Changes in Small Areas Using the Machine Learning Spatial Downscaling Method, Remote Sens. (Basel). 13 (2021).
https://doi.org/10.3390/rs13234760.
21. R. Rietbroek, S.-E. Brunnabend, J. Kusche, J. Schröter, C. Dahle, Revisiting the contemporary sea-level budget on global and regional
scales, Proceedings of the National Academy of Sciences 113 (2016) 1504–1509. https://doi.org/10.1073/pnas.1519132113.
22. Y. Zhu, S. Liu, Y. Yi, F. Xie, R. Grünwald, W. Miao, K. Wu, M. Qi, Y. Gao, D. Singh, Overview of terrestrial water storage changes
over the Indus River Basin based on GRACE/GRACE-FO solutions, Science of The Total Environment 799 (2021) 149366.
https://doi.org/https://doi.org/10.1016/j.scitotenv.2021.149366.
23. W. Yin, L. Hu, J.J. Jiao, Evaluation of Groundwater Storage Variations in Northern China Using GRACE Data, Geofluids 2017
(2017) 8254824. https://doi.org/https://doi.org/10.1155/2017/8254824.
24. M.A.A. Mohammed, N.P. Szabó, J.O. Alao, P. Szűcs, Deep-Learning-Based Probabilistic Forecasting of Groundwater Storage
Dynamics in Sudan Using Multisource Remote Sensing and Geophysical Data, Remote Sens. (Basel). 17 (2025).
https://doi.org/10.3390/rs17183172.
25. K.A. Voss, J.S. Famiglietti, M. Lo, C. de Linage, M. Rodell, S.C. Swenson, Groundwater depletion in the Middle East from GRACE
with implications for transboundary water management in the Tigris-Euphrates-Western Iran region, Water Resour. Res. 49 (2013)
904–914. https://doi.org/https://doi.org/10.1002/wrcr.20078.
26. B.D. Tapley, M.M. Watkins, F. Flechtner, C. Reigber, S. Bettadpur, M. Rodell, I. Sasgen, J.S. Famiglietti, F.W. Landerer, D.P.
Chambers, J.T. Reager, A.S. Gardner, H. Save, E.R. Ivins, S.C. Swenson, C. Boening, C. Dahle, D.N. Wiese, H. Dobslaw, M.E.
Tamisiea, I. Velicogna, Contributions of GRACE to understanding climate change, Nat. Clim. Chang. 9 (2019) 358–369.
https://doi.org/10.1038/s41558-019-0456-2.
27. H. Karimi, S. Iran-Pour, A. Amiri-Simkooei, M. Babadi, A gap-filling algorithm selection strategy for GRACE and GRACE Follow-
On time series based on hydrological signal characteristics of the individual river basins, Journal of Geodetic Science 13 (2023).
https://doi.org/10.1515/jogs-2022-0129.
28. H. Lecomte, S. Rosat, M. Mandea, Gap filling between GRACE and GRACE-FO missions: assessment of interpolation techniques,
J. Geod. 98 (2024) 107. https://doi.org/10.1007/s00190-024-01917-3.
29. Y. Gu, F. Huang, J. Huang, H. Yuan, B. Yu, C. Gao, Filling the gap between GRACE and GRACE follow-on observations based on
principal component analysis, Geophys. J. Int. 236 (2024) 1216–1233. https://doi.org/10.1093/gji/ggad484.
30. M.S. Sugni, U.A. Krishnan, B.G. Nair, Impacts of Land Use and Climate Variability on Groundwater Storage in the Cauvery River
Basin Using GRACE and Empirical Orthogonal Function Analysis, in: Proceedings of the International Conference on Civil
Engineering and Architecture for Sustainable Infrastructure Development and Environment (CEASIDE 2025), Atlantis Press, 2025:
pp. 38–58. https://doi.org/10.2991/978-94-6463-936-0_4.
31. H. Sahour, M. Sultan, M. Vazifedan, K. Abdelmohsen, S. Karki, J.A. Yellich, E. Gebremichael, F. Alshehri, T.M. Elbayoumi,
Statistical Applications to Downscale GRACE-Derived Terrestrial Water Storage Data and to Fill Temporal Gaps, Remote Sens.
(Basel). 12 (2020). https://doi.org/10.3390/rs12030533.
32. S. Bringeland, G. Fotopoulos, Analysis of gap filling techniques for GRACE/GRACE-FO terrestrial water storage anomalies in
Canada, J. Hydrol. (Amst). 630 (2024) 130644. https://doi.org/https://doi.org/10.1016/j.jhydrol.2024.130644.
33. R. Ji, C. Wang, A. Cui, W. Wang, N. Chen, Separating climate and human induced terrestrial water storage anomalies with GRACE
data and hydrological models, Int. J. Digit. Earth 18 (2025). https://doi.org/10.1080/17538947.2025.2557516.
34. B.F. Zaitchik, M. Rodell, R.H. Reichle, Assimilation of GRACE terrestrial water storage data into a land surface model: Results for
the Mississippi River basin, J. Hydrometeorol. 9 (2008) 535–548. https://doi.org/10.1175/2007JHM951.1.
35. R. Houborg, M. Rodell, B. Li, R. Reichle, B.F. Zaitchik, Drought indicators based on model-assimilated Gravity Recovery and
Climate Experiment (GRACE) terrestrial water storage observations, Water Resour. Res. 48 (2012).
https://doi.org/https://doi.org/10.1029/2011WR011291.
36. N. Tangdamrongsub, S.C. Steele-Dunne, B.C. Gunter, P.G. Ditmar, E.H. Sutanudjaja, Y. Sun, T. Xia, Z. Wang, Improving estimates
of water resources in a semi-arid region by assimilating GRACE data into the PCR-GLOBWB hydrological model, Hydrol. Earth
Syst. Sci. 21 (2017) 2053–2074. https://doi.org/10.5194/hess-21-2053-2017.
37. B. Li, M. Rodell, S. Kumar, H.K. Beaudoing, A. Getirana, B.F. Zaitchik, L.G. de Goncalves, C. Cossetin, S. Bhanja, A. Mukherjee,
S. Tian, N. Tangdamrongsub, D. Long, J. Nanteza, J. Lee, F. Policelli, I.B. Goni, D. Daira, M. Bila, G. de Lannoy, D. Mocko, S.C.
Steele-Dunne, H. Save, S. Bettadpur, Global GRACE Data Assimilation for Groundwater and Drought Monitoring: Advances and
Challenges, Water Resour. Res. 55 (2019) 7564–7586. https://doi.org/https://doi.org/10.1029/2018WR024618.
38. M. Girotto, R.H. Reichle, M. Rodell, Q. Liu, S. Mahanama, G.J.M. De Lannoy, Multi-sensor assimilation of SMOS brightness
temperature and GRACE terrestrial water storage observations for soil moisture and shallow groundwater estimation, Remote Sens.
Environ. 227 (2019) 12–27. https://doi.org/https://doi.org/10.1016/j.rse.2019.04.001.
39. P. Döll, H. Müller Schmied, C. Schuh, F.T. Portmann, A. Eicker, Global-scale assessment of groundwater depletion and related
groundwater abstractions: Combining hydrological modeling with information from well observations and GRACE satellites, Water
Resour. Res. 50 (2014) 5698–5720. https://doi.org/https://doi.org/10.1002/2014WR015595.
40. J. Chu, X. Su, T. Jiang, J. Qi, G. Zhang, H. Wu, Filling the gap between GRACE and GRACE-FO data using a model integrating
variational mode decomposition and long short-term memory: a case study of Northwest China, Environ. Earth Sci. 82 (2023) 38.
https://doi.org/10.1007/s12665-022-10716-y.41. B. Fawzi, M. Salah, M. El-Mewafi, Prediction of terrestrial water storage changes by using GRACE data over Nile river basin,
Geodesy and Cartography (Vilnius) 52 (2026) 1–10. https://doi.org/10.3846/gac.2026.22447.
42. S.K.R. Chidepudi, N. Massei, A. Jardani, A. Henriot, Groundwater level reconstruction using long-term climate reanalysis data and
deep neural networks, J. Hydrol. Reg. Stud. 51 (2024) 101632. https://doi.org/https://doi.org/10.1016/j.ejrh.2023.101632.
43. N. Mandal, P. Das, K. Chanda, Machine-learning-based reconstruction of long-term global terrestrial water storage anomalies from
observed, satellite and land-surface model data, Earth Syst. Sci. Data 17 (2025) 2575–2604. https://doi.org/10.5194/essd-17-2575-
2025.
44. W. Jing, L. Di, X. Zhao, L. Yao, X. Xia, Y. Liu, J. Yang, Y. Li, C. Zhou, A data-driven approach to generate past GRACE-like
terrestrial water storage solution by calibrating the land surface model simulations, Adv. Water Resour. 143 (2020) 103683.
https://doi.org/https://doi.org/10.1016/j.advwatres.2020.103683.
45. F. Hu, B. Yang, Z. Wei, C. Cui, L. Meng, Filling the data gap between GRACE and GRACE-FO based on a two-step reconstruction
method, Int. J. Digit. Earth 18 (2025). https://doi.org/10.1080/17538947.2025.2468418.
46. E. Forootan, J. Kusche, I. Loth, W.-D. Schuh, A. Eicker, J. Awange, L. Longuevergne, B. Diekkrüger, M. Schmidt, C.K. Shum,
Multivariate Prediction of Total Water Storage Changes Over West Africa from Multi-Satellite Data, Surv. Geophys. 35 (2014) 913–
940. https://doi.org/10.1007/s10712-014-9292-0.
47. A. Jutla, A. Akanda, A. Unnikrishnan, A. Huq, R. Colwell, Predictive time series analysis linking Bengal cholera with terrestrial
water storage measured from Gravity Recovery and Climate Experiment sensors, American Journal of Tropical Medicine and Hygiene
93 (2015) 1179–1186. https://doi.org/10.4269/ajtmh.14-0648.
48. E. Hasan, A. Tarhule, P.-E. Kirstetter, Twentieth and Twenty-First Century Water Storage Changes in the Nile River Basin from
GRACE/GRACE-FO and Modeling, Remote Sens. (Basel). 13 (2021). https://doi.org/10.3390/rs13050953.
49. A. Kashani, H.R. Safavi, Assessing groundwater drought in Iran using GRACE data and machine learning, Sci. Rep. 15 (2025) 14671.
https://doi.org/10.1038/s41598-025-99342-9.
50. K. Liu, X. Li, S. Wang, S. Lu, Y. Bo, G. Zhou, Quantifying Past and Future Terrestrial Water Storage Scarcity Across China Through
Midcentury, Earths Future 13 (2025) e2025EF006071. https://doi.org/https://doi.org/10.1029/2025EF006071.
51. K. Liu, X. Li, S. Wang, G. Zhou, Past and future adverse response of terrestrial water storages to increased vegetation growth in
drylands, NPJ Clim. Atmos. Sci. 6 (2023) 113. https://doi.org/10.1038/s41612-023-00437-9.
52. A. Karpatne, G. Atluri, J.H. Faghmous, M. Steinbach, A. Banerjee, A. Ganguly, S. Shekhar, N. Samatova, V. Kumar, Theory-Guided
Data Science: A New Paradigm for Scientific Discovery from Data, IEEE Trans. Knowl. Data Eng. 29 (2017) 2318–2331.
https://doi.org/10.1109/TKDE.2017.2720168
Konikow, T.R. Green, J. Chen, M. Taniguchi, M.F.P. Bierkens, A. MacDonald, Y. Fan, R.M. Maxwell, Y. Yechieli, J.J. Gurdak,
D.M. Allen, M. Shamsudduha, K. Hiscock, P.J.-F. Yeh, I. Holman, H. Treidel, Ground water and climate change, Nat. Clim. Chang.
3 (2013) 322–329. https://doi.org/10.1038/nclimate1744.
2. J.S. Famiglietti, The global groundwater crisis, Nat. Clim. Chang. 4 (2014) 945–948. https://doi.org/10.1038/nclimate2425.
3. P. Döll, H. Hoffmann-Dobrev, F.T. Portmann, S. Siebert, A. Eicker, M. Rodell, G. Strassberg, B.R. Scanlon, Impact of water
withdrawals from groundwater and surface water on continental water storage variations, J. Geodyn. 59–60 (2012) 143–156.
https://doi.org/https://doi.org/10.1016/j.jog.2011.05.001.
4. T. Gleeson, Y. Wada, M.F.P. Bierkens, L.P.H. van Beek, Water balance of global aquifers revealed by groundwater footprint, Nature
488 (2012) 197–200. https://doi.org/10.1038/nature11295.
5. F.W. Landerer, F.M. Flechtner, H. Save, F.H. Webb, T. Bandikova, W.I. Bertiger, S. V Bettadpur, S.H. Byun, C. Dahle, H. Dobslaw,
E. Fahnestock, N. Harvey, Z. Kang, G.L.H. Kruizinga, B.D. Loomis, C. McCullough, M. Murböck, P. Nagel, M. Paik, N. Pie, S.
Poole, D. Strekalov, M.E. Tamisiea, F. Wang, M.M. Watkins, H.-Y. Wen, D.N. Wiese, D.-N. Yuan, Extending the Global Mass
Change Data Record: GRACE Follow-On Instrument and Science Data Performance, Geophys. Res. Lett. 47 (2020) e2020GL088306.
https://doi.org/https://doi.org/10.1029/2020GL088306.
6. B.D. Tapley, S. Bettadpur, M. Watkins, C. Reigber, The gravity recovery and climate experiment: Mission overview and early results,
Geophys. Res. Lett. 31 (2004). https://doi.org/https://doi.org/10.1029/2004GL019920.
7. S. Swenson, J. Wahr, Methods for inferring regional surface-mass anomalies from Gravity Recovery and Climate Experiment
(GRACE) measurements of time-variable gravity, J. Geophys. Res. Solid Earth 107 (2002) ETG 3-1-ETG 3-13.
https://doi.org/https://doi.org/10.1029/2001JB000576.
8. J. Wahr, M. Molenaar, F. Bryan, Time variability of the Earth’s gravity field: Hydrological and oceanic effects and their possible
detection using GRACE, J. Geophys. Res. Solid Earth 103 (1998) 30205–30229. https://doi.org/https://doi.org/10.1029/98JB02844.
9. M. Rodell, I. Velicogna, J.S. Famiglietti, Satellite-based estimates of groundwater depletion in India, Nature 460 (2009) 999–1002.
https://doi.org/10.1038/nature08238.
10. B.R. Scanlon, L. Longuevergne, D. Long, Ground referencing GRACE satellite estimates of groundwater storage changes in the
California Central Valley, USA, Water Resour. Res. 48 (2012). https://doi.org/https://doi.org/10.1029/2011WR011312.
11. Z. Sun, D. Long, W. Yang, X. Li, Y. Pan, Reconstruction of GRACE Data on Changes in Total Water Storage Over the Global Land
Surface and 60 Basins, Water Resour. Res. 56 (2020) e2019WR026250. https://doi.org/https://doi.org/10.1029/2019WR026250.
12. V. Humphrey, L. Gudmundsson, GRACE-REC: a reconstruction of climate-driven water storage changes over the last century, Earth
Syst. Sci. Data 11 (2019) 1153–1170. https://doi.org/10.5194/essd-11-1153-2019.
13. W.M. Seyoum, A.M. Milewski, Improved methods for estimating local terrestrial water dynamics from GRACE in the Northern High
Plains, Adv. Water Resour. 110 (2017) 279–290. https://doi.org/https://doi.org/10.1016/j.advwatres.2017.10.021.
14. B.R. Scanlon, Z. Zhang, H. Save, A.Y. Sun, H. Müller Schmied, L.P.H. van Beek, D.N. Wiese, Y. Wada, D. Long, R.C. Reedy, L.
Longuevergne, P. Döll, M.F.P. Bierkens, Global models underestimate large decadal declining and rising water storage trends relative
to GRACE satellite data, Proceedings of the National Academy of Sciences 115 (2018) E1080–E1089.
https://doi.org/10.1073/pnas.1704665115.
15. D. Long, Y. Shen, A. Sun, Y. Hong, L. Longuevergne, Y. Yang, B. Li, L. Chen, Drought and flood monitoring for a large karst
plateau in Southwest China using extended GRACE data, Remote Sens. Environ. 155 (2014) 145–160.
https://doi.org/https://doi.org/10.1016/j.rse.2014.08.006.
16. O.A. Fallatah, M. Ahmed, H. Save, A.S. Akanda, Quantifying temporal variations in water resources of a vulnerable middle east ern
transboundary aquifer system, Hydrol. Process. 31 (2017) 4081–4091. https://doi.org/https://doi.org/10.1002/hyp.11285.17. A.S. Richey, B.F. Thomas, M.-H. Lo, J.T. Reager, J.S. Famiglietti, K. Voss, S. Swenson, M. Rodell, Quantifying renewable
groundwater stress with GRACE, Water Resour. Res. 51 (2015) 5217–5238. https://doi.org/https://doi.org/10.1002/2015WR017349.
18. W. Jing, L. Yao, X. Zhao, P. Zhang, Y. Liu, X. Xia, J. Song, J. Yang, Y. Li, C. Zhou, Understanding Terrestrial Water Storage
Declining Trends in the Yellow River Basin, Journal of Geophysical Research: Atmospheres 124 (2019) 12963–12984.
https://doi.org/https://doi.org/10.1029/2019JD031432.
19. F. Li, J. Kusche, N. Chao, Z. Wang, A. Löcher, Long-Term (1979-Present) Total Water Storage Anomalies Over the Global Land
Derived by Reconstructing GRACE Data, Geophys. Res. Lett. 48 (2021) e2021GL093492.
https://doi.org/https://doi.org/10.1029/2021GL093492.
20. Z. Chen, W. Zheng, W. Yin, X. Li, G. Zhang, J. Zhang, Improving the Spatial Resolution of GRACE-Derived Terrestrial Water
Storage Changes in Small Areas Using the Machine Learning Spatial Downscaling Method, Remote Sens. (Basel). 13 (2021).
https://doi.org/10.3390/rs13234760.
21. R. Rietbroek, S.-E. Brunnabend, J. Kusche, J. Schröter, C. Dahle, Revisiting the contemporary sea-level budget on global and regional
scales, Proceedings of the National Academy of Sciences 113 (2016) 1504–1509. https://doi.org/10.1073/pnas.1519132113.
22. Y. Zhu, S. Liu, Y. Yi, F. Xie, R. Grünwald, W. Miao, K. Wu, M. Qi, Y. Gao, D. Singh, Overview of terrestrial water storage changes
over the Indus River Basin based on GRACE/GRACE-FO solutions, Science of The Total Environment 799 (2021) 149366.
https://doi.org/https://doi.org/10.1016/j.scitotenv.2021.149366.
23. W. Yin, L. Hu, J.J. Jiao, Evaluation of Groundwater Storage Variations in Northern China Using GRACE Data, Geofluids 2017
(2017) 8254824. https://doi.org/https://doi.org/10.1155/2017/8254824.
24. M.A.A. Mohammed, N.P. Szabó, J.O. Alao, P. Szűcs, Deep-Learning-Based Probabilistic Forecasting of Groundwater Storage
Dynamics in Sudan Using Multisource Remote Sensing and Geophysical Data, Remote Sens. (Basel). 17 (2025).
https://doi.org/10.3390/rs17183172.
25. K.A. Voss, J.S. Famiglietti, M. Lo, C. de Linage, M. Rodell, S.C. Swenson, Groundwater depletion in the Middle East from GRACE
with implications for transboundary water management in the Tigris-Euphrates-Western Iran region, Water Resour. Res. 49 (2013)
904–914. https://doi.org/https://doi.org/10.1002/wrcr.20078.
26. B.D. Tapley, M.M. Watkins, F. Flechtner, C. Reigber, S. Bettadpur, M. Rodell, I. Sasgen, J.S. Famiglietti, F.W. Landerer, D.P.
Chambers, J.T. Reager, A.S. Gardner, H. Save, E.R. Ivins, S.C. Swenson, C. Boening, C. Dahle, D.N. Wiese, H. Dobslaw, M.E.
Tamisiea, I. Velicogna, Contributions of GRACE to understanding climate change, Nat. Clim. Chang. 9 (2019) 358–369.
https://doi.org/10.1038/s41558-019-0456-2.
27. H. Karimi, S. Iran-Pour, A. Amiri-Simkooei, M. Babadi, A gap-filling algorithm selection strategy for GRACE and GRACE Follow-
On time series based on hydrological signal characteristics of the individual river basins, Journal of Geodetic Science 13 (2023).
https://doi.org/10.1515/jogs-2022-0129.
28. H. Lecomte, S. Rosat, M. Mandea, Gap filling between GRACE and GRACE-FO missions: assessment of interpolation techniques,
J. Geod. 98 (2024) 107. https://doi.org/10.1007/s00190-024-01917-3.
29. Y. Gu, F. Huang, J. Huang, H. Yuan, B. Yu, C. Gao, Filling the gap between GRACE and GRACE follow-on observations based on
principal component analysis, Geophys. J. Int. 236 (2024) 1216–1233. https://doi.org/10.1093/gji/ggad484.
30. M.S. Sugni, U.A. Krishnan, B.G. Nair, Impacts of Land Use and Climate Variability on Groundwater Storage in the Cauvery River
Basin Using GRACE and Empirical Orthogonal Function Analysis, in: Proceedings of the International Conference on Civil
Engineering and Architecture for Sustainable Infrastructure Development and Environment (CEASIDE 2025), Atlantis Press, 2025:
pp. 38–58. https://doi.org/10.2991/978-94-6463-936-0_4.
31. H. Sahour, M. Sultan, M. Vazifedan, K. Abdelmohsen, S. Karki, J.A. Yellich, E. Gebremichael, F. Alshehri, T.M. Elbayoumi,
Statistical Applications to Downscale GRACE-Derived Terrestrial Water Storage Data and to Fill Temporal Gaps, Remote Sens.
(Basel). 12 (2020). https://doi.org/10.3390/rs12030533.
32. S. Bringeland, G. Fotopoulos, Analysis of gap filling techniques for GRACE/GRACE-FO terrestrial water storage anomalies in
Canada, J. Hydrol. (Amst). 630 (2024) 130644. https://doi.org/https://doi.org/10.1016/j.jhydrol.2024.130644.
33. R. Ji, C. Wang, A. Cui, W. Wang, N. Chen, Separating climate and human induced terrestrial water storage anomalies with GRACE
data and hydrological models, Int. J. Digit. Earth 18 (2025). https://doi.org/10.1080/17538947.2025.2557516.
34. B.F. Zaitchik, M. Rodell, R.H. Reichle, Assimilation of GRACE terrestrial water storage data into a land surface model: Results for
the Mississippi River basin, J. Hydrometeorol. 9 (2008) 535–548. https://doi.org/10.1175/2007JHM951.1.
35. R. Houborg, M. Rodell, B. Li, R. Reichle, B.F. Zaitchik, Drought indicators based on model-assimilated Gravity Recovery and
Climate Experiment (GRACE) terrestrial water storage observations, Water Resour. Res. 48 (2012).
https://doi.org/https://doi.org/10.1029/2011WR011291.
36. N. Tangdamrongsub, S.C. Steele-Dunne, B.C. Gunter, P.G. Ditmar, E.H. Sutanudjaja, Y. Sun, T. Xia, Z. Wang, Improving estimates
of water resources in a semi-arid region by assimilating GRACE data into the PCR-GLOBWB hydrological model, Hydrol. Earth
Syst. Sci. 21 (2017) 2053–2074. https://doi.org/10.5194/hess-21-2053-2017.
37. B. Li, M. Rodell, S. Kumar, H.K. Beaudoing, A. Getirana, B.F. Zaitchik, L.G. de Goncalves, C. Cossetin, S. Bhanja, A. Mukherjee,
S. Tian, N. Tangdamrongsub, D. Long, J. Nanteza, J. Lee, F. Policelli, I.B. Goni, D. Daira, M. Bila, G. de Lannoy, D. Mocko, S.C.
Steele-Dunne, H. Save, S. Bettadpur, Global GRACE Data Assimilation for Groundwater and Drought Monitoring: Advances and
Challenges, Water Resour. Res. 55 (2019) 7564–7586. https://doi.org/https://doi.org/10.1029/2018WR024618.
38. M. Girotto, R.H. Reichle, M. Rodell, Q. Liu, S. Mahanama, G.J.M. De Lannoy, Multi-sensor assimilation of SMOS brightness
temperature and GRACE terrestrial water storage observations for soil moisture and shallow groundwater estimation, Remote Sens.
Environ. 227 (2019) 12–27. https://doi.org/https://doi.org/10.1016/j.rse.2019.04.001.
39. P. Döll, H. Müller Schmied, C. Schuh, F.T. Portmann, A. Eicker, Global-scale assessment of groundwater depletion and related
groundwater abstractions: Combining hydrological modeling with information from well observations and GRACE satellites, Water
Resour. Res. 50 (2014) 5698–5720. https://doi.org/https://doi.org/10.1002/2014WR015595.
40. J. Chu, X. Su, T. Jiang, J. Qi, G. Zhang, H. Wu, Filling the gap between GRACE and GRACE-FO data using a model integrating
variational mode decomposition and long short-term memory: a case study of Northwest China, Environ. Earth Sci. 82 (2023) 38.
https://doi.org/10.1007/s12665-022-10716-y.41. B. Fawzi, M. Salah, M. El-Mewafi, Prediction of terrestrial water storage changes by using GRACE data over Nile river basin,
Geodesy and Cartography (Vilnius) 52 (2026) 1–10. https://doi.org/10.3846/gac.2026.22447.
42. S.K.R. Chidepudi, N. Massei, A. Jardani, A. Henriot, Groundwater level reconstruction using long-term climate reanalysis data and
deep neural networks, J. Hydrol. Reg. Stud. 51 (2024) 101632. https://doi.org/https://doi.org/10.1016/j.ejrh.2023.101632.
43. N. Mandal, P. Das, K. Chanda, Machine-learning-based reconstruction of long-term global terrestrial water storage anomalies from
observed, satellite and land-surface model data, Earth Syst. Sci. Data 17 (2025) 2575–2604. https://doi.org/10.5194/essd-17-2575-
2025.
44. W. Jing, L. Di, X. Zhao, L. Yao, X. Xia, Y. Liu, J. Yang, Y. Li, C. Zhou, A data-driven approach to generate past GRACE-like
terrestrial water storage solution by calibrating the land surface model simulations, Adv. Water Resour. 143 (2020) 103683.
https://doi.org/https://doi.org/10.1016/j.advwatres.2020.103683.
45. F. Hu, B. Yang, Z. Wei, C. Cui, L. Meng, Filling the data gap between GRACE and GRACE-FO based on a two-step reconstruction
method, Int. J. Digit. Earth 18 (2025). https://doi.org/10.1080/17538947.2025.2468418.
46. E. Forootan, J. Kusche, I. Loth, W.-D. Schuh, A. Eicker, J. Awange, L. Longuevergne, B. Diekkrüger, M. Schmidt, C.K. Shum,
Multivariate Prediction of Total Water Storage Changes Over West Africa from Multi-Satellite Data, Surv. Geophys. 35 (2014) 913–
940. https://doi.org/10.1007/s10712-014-9292-0.
47. A. Jutla, A. Akanda, A. Unnikrishnan, A. Huq, R. Colwell, Predictive time series analysis linking Bengal cholera with terrestrial
water storage measured from Gravity Recovery and Climate Experiment sensors, American Journal of Tropical Medicine and Hygiene
93 (2015) 1179–1186. https://doi.org/10.4269/ajtmh.14-0648.
48. E. Hasan, A. Tarhule, P.-E. Kirstetter, Twentieth and Twenty-First Century Water Storage Changes in the Nile River Basin from
GRACE/GRACE-FO and Modeling, Remote Sens. (Basel). 13 (2021). https://doi.org/10.3390/rs13050953.
49. A. Kashani, H.R. Safavi, Assessing groundwater drought in Iran using GRACE data and machine learning, Sci. Rep. 15 (2025) 14671.
https://doi.org/10.1038/s41598-025-99342-9.
50. K. Liu, X. Li, S. Wang, S. Lu, Y. Bo, G. Zhou, Quantifying Past and Future Terrestrial Water Storage Scarcity Across China Through
Midcentury, Earths Future 13 (2025) e2025EF006071. https://doi.org/https://doi.org/10.1029/2025EF006071.
51. K. Liu, X. Li, S. Wang, G. Zhou, Past and future adverse response of terrestrial water storages to increased vegetation growth in
drylands, NPJ Clim. Atmos. Sci. 6 (2023) 113. https://doi.org/10.1038/s41612-023-00437-9.
52. A. Karpatne, G. Atluri, J.H. Faghmous, M. Steinbach, A. Banerjee, A. Ganguly, S. Shekhar, N. Samatova, V. Kumar, Theory-Guided
Data Science: A New Paradigm for Scientific Discovery from Data, IEEE Trans. Knowl. Data Eng. 29 (2017) 2318–2331.
https://doi.org/10.1109/TKDE.2017.2720168
Related Articles
2026
AI-Based Stomach Cancer Detection Using Biomarkers, Medical Images, and Voice Analysis
2026
Hydrogen-Efficient Eco-Driving and Route Planning for Fuel-Cell Electric Vehicles Using Multi-Objective Optimization Under Traffic and Terrain Uncertainty
2026
A Data-Driven Machine Learning Framework for Assessing Patent Commercial Value and Technological Significance
2026
Evaluating Student Academic Performance Through a Benchmark of Fuzzy Reasoning Models
2026
A Hybrid Soft Computing Approach for Managing Uncertainty in Data Analytics
2026