Remote Sensing of Soil Water Retention Signatures Using Sentinel-2 Time-Series and Exponential Decay Fitting Model
Highlights
- Time-series NDWI exhibited distinct exponential decay signatures that vary significantly across soil textures and degradation gradients.
- SMDI showed high consistency with in situ soil moisture and significant positive correlations with SOM and FC.
- This study successfully transformed point-scale static SWRC measurements into spatially continuous monitoring data at 10-m resolution.
- SMDI spatial mapping accurately identifies impaired water-holding functions, providing digital decision-making support for precision black soil conservation and fertility restoration.
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Acquisition and Preprocessing
2.2.1. Remote Sensing Data
2.2.2. Other Data
2.2.3. Soil Sample Data
2.3. Time-Series NDWI Analysis
2.4. Exponential Decay Fitting Model (EDFM) and SMDI Construction
2.5. Model Accuracy Validation and Evaluation
3. Results
3.1. Time-Series NDWI Responses Across Different Degradation and Model Fitting
3.2. Field Validation of SMDI Estimates
3.3. Relationships Between SMDI and Soil Properties
3.4. Spatial Distribution of SWRC Based on SMDI
4. Discussion
4.1. Performance of Time-Series NDWI Under Different Degradation Conditions
4.2. Advantages of the SMDI for SWRC Monitoring
4.3. Limitations and Broader Applicability Validation of SMDI
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| DEM | Digital Elevation Model |
| EDFM | Exponential Decay Fitting Model |
| FC | Field Capacity |
| HD | Heavily Degraded |
| HS | High-Slope |
| LD | Lightly Degraded |
| LS | Low-Slope |
| MD | Moderately Degraded |
| MS | Moderate-Slope |
| ND | Non-Degraded |
| NEC | Northeast China |
| NDWI | Normalized Difference Water Index |
| SMDI | Soil Moisture Decay Index |
| SOM | Soil Organic Matter |
| SWRC | Soil Water Retention Capacity |
| SWRS | Soil Water Retention Signatures |
| ΔSMDI | Change in SMDI |
References
- Assouline, S.; Or, D. Conceptual and parametric representation of soil hydraulic properties: A review. Vadose Zone J. 2013, 12, 1–20. [Google Scholar] [CrossRef]
- Norouzi, S.; Pesch, C.; Arthur, E.; Norgaard, T.; Moldrup, P.; Greve, M.H.; Beucher, A.M.; Sadeghi, M.; Zaresourmanabad, M.; Tuller, M. Physics-informed neural networks for estimating a continuous form of the soil water retention curve from basic soil properties. Water Resour. Res. 2025, 61, e2024WR038149. [Google Scholar] [CrossRef]
- Rastgou, M.; Jin, X.; Jiang, Q.; Liu, S.; Lou, R.; Wang, J.; Tang, R.; He, Y. Optimizing deep neural networks for estimating soil water retention curves: A comparison of metaheuristic and numerical algorithms. Vadose Zone J. 2025, 24, e70035. [Google Scholar] [CrossRef]
- Minasny, B.; Bandai, T.; Ghezzehei, T.A.; Huang, Y.-C.; Ma, Y.; McBratney, A.B.; Ng, W.; Norouzi, S.; Padarian, J.; Sharififar, A. Soil science-informed machine learning. Geoderma 2024, 452, 117094. [Google Scholar] [CrossRef]
- Abbes, A.B.; Jarray, N.; Farah, I.R. Advances in remote sensing based soil moisture retrieval: Applications, techniques, scales and challenges for combining machine learning and physical models. Artif. Intell. Rev. 2024, 57, 224. [Google Scholar] [CrossRef]
- Quast, R.; Wagner, W.; Bauer-Marschallinger, B.; Vreugdenhil, M. Soil moisture retrieval from Sentinel-1 using a first-order radiative transfer model—A case-study over the Po-Valley. Remote Sens. Environ. 2023, 295, 113651. [Google Scholar] [CrossRef]
- Peng, J.; Loew, A.; Merlin, O.; Verhoest, N.E. A review of spatial downscaling of satellite remotely sensed soil moisture. Rev. Geophys. 2017, 55, 341–366. [Google Scholar] [CrossRef]
- Bauer-Marschallinger, B.; Freeman, V.; Cao, S.; Paulik, C.; Schaufler, S.; Stachl, T.; Modanesi, S.; Massari, C.; Ciabatta, L.; Brocca, L. Toward global soil moisture monitoring with Sentinel-1: Harnessing assets and overcoming obstacles. IEEE Trans. Geosci. Remote Sens. 2018, 57, 520–539. [Google Scholar] [CrossRef]
- Benninga, H.-J.F.; Van Der Velde, R.; Su, Z. Soil moisture content retrieval over meadows from Sentinel-1 and Sentinel-2 data using physically based scattering models. Remote Sens. Environ. 2022, 280, 113191. [Google Scholar] [CrossRef]
- Cui, K.; Xing, M.; Shang, J.; Zhou, X.; Wang, J. Enhanced L-MEB model for soil moisture retrieval over soybean fields during the growing season. IEEE Trans. Geosci. Remote Sens. 2025, 63, 4409216. [Google Scholar] [CrossRef]
- Xing, M.; Cui, K.; Dong, T.; Ma, M.; Zhou, X.; Zhang, Y. Improved soil moisture retrieval during crop growing season using passive microwave data at L-band. Int. J. Appl. Earth Obs. Geoinf. 2025, 143, 104788. [Google Scholar] [CrossRef]
- Zhao, H.; Montzka, C.; Keller, J.; Li, F.; Vereecken, H.; Hendricks Franssen, H.J. How Does Assimilating SMAP Soil Moisture Improve Characterization of the Terrestrial Water Cycle in an Integrated Land Surface-Subsurface Model? Water Resour. Res. 2025, 61, e2024WR038647. [Google Scholar] [CrossRef]
- Li, Z.; Zhao, L.; Wang, L.; Liu, G.; Du, E.; Zou, D.; Hu, G.; Xing, Z.; Wang, C.; Liu, S. 100-m-resolution surface soil moisture data during the thawing season on the Qinghai–Tibet Plateau. Sci. Data 2025, 12, 497. [Google Scholar] [CrossRef]
- Sehgal, V.; Gaur, N.; Mohanty, B.P. Global surface soil moisture drydown patterns. Water Resour. Res. 2021, 57, e2020WR027588. [Google Scholar] [CrossRef]
- Shahriari, M.A.; Aghighi, H.; Azadbakht, M.; Ashourloo, D.; Matkan, A.A.; Brakhasi, F.; Walker, J.P. Soil moisture estimation using combined SAR and optical imagery: Application of seasonal machine learning algorithms. Adv. Space Res. 2025, 75, 6207–6221. [Google Scholar] [CrossRef]
- Koster, R.D.; Suarez, M.J. Soil moisture memory in climate models. J. Hydrometeorol. 2001, 2, 558–570. [Google Scholar] [CrossRef]
- Konkathi, P.; Karthikeyan, L. Error and uncertainty characterization of soil moisture and VOD retrievals obtained from L-band SMAP radiometer. Remote Sens. Environ. 2022, 280, 113146. [Google Scholar] [CrossRef]
- McColl, K.A.; Wang, W.; Peng, B.; Akbar, R.; Short Gianotti, D.J.; Lu, H.; Pan, M.; Entekhabi, D. Global characterization of surface soil moisture drydowns. Geophys. Res. Lett. 2017, 44, 3682–3690. [Google Scholar] [CrossRef]
- Lehmann, P.; Or, D. Analytical model for bare soil evaporation dynamics following wetting with concurrent internal drainage. J. Hydrol. 2024, 631, 130800. [Google Scholar] [CrossRef]
- Shellito, P.J.; Small, E.E.; Colliander, A.; Bindlish, R.; Cosh, M.H.; Berg, A.A.; Bosch, D.D.; Caldwell, T.G.; Goodrich, D.C.; McNairn, H. SMAP soil moisture drying more rapid than observed in situ following rainfall events. Geophys. Res. Lett. 2016, 43, 8068–8075. [Google Scholar] [CrossRef]
- Liu, C.; Liu, G.; Dan, C.; Shen, E.; Li, H.; Zhang, Q.; Guo, Z.; Zhang, Y. Variability in mollic epipedon thickness in response to soil erosion–deposition rates along slopes in Northeast China. Soil Tillage Res. 2023, 227, 105616. [Google Scholar] [CrossRef]
- Wang, H.; Yang, S.; Wang, Y.; Gu, Z.; Xiong, S.; Huang, X.; Sun, M.; Zhang, S.; Guo, L.; Cui, J. Rates and causes of black soil erosion in Northeast China. Catena 2022, 214, 106250. [Google Scholar] [CrossRef]
- Liu, F.; Zhang, G.-L.; Song, X.; Li, D.; Zhao, Y.; Yang, J.; Wu, H.; Yang, F. High-resolution and three-dimensional mapping of soil texture of China. Geoderma 2020, 361, 114061. [Google Scholar] [CrossRef]
- Wang, C.; Gao, B.; Yang, K.; Wang, Y.; Sukhbaatar, C.; Yin, Y.; Feng, Q.; Yao, X.; Zhang, Z.; Yang, J. Inversion of soil organic carbon content based on the two-point machine learning method. Sci. Total Environ. 2024, 943, 173608. [Google Scholar] [CrossRef]
- Zhang, Y.; Luo, C.; Zhang, Y.; Gao, L.; Wang, Y.; Wu, Z.; Zhang, W.; Liu, H. Integration of bare soil and crop growth remote sensing data to improve the accuracy of soil organic matter mapping in black soil areas. Soil Tillage Res. 2024, 244, 106269. [Google Scholar] [CrossRef]
- Chen, J.; Zhu, R.; Zhang, Q.; Kong, X.; Sun, D. Reduced-tillage management enhances soil properties and crop yields in a alfalfa-corn rotation: Case study of the Songnen Plain, China. Sci. Rep. 2019, 9, 17064. [Google Scholar] [CrossRef]
- Meng, M.; Pu, X.; Li, S.; Zhang, Y.; Wang, J.; Xu, H.; Hu, Y.; Wang, J.; Wang, Y. Sensitivities of rainfed maize production to root zone soil water, air temperature and shortwave radiation in the Sanjiang Plain under sub-humid cool-temperate climates. Water-Energy Nexus 2023, 6, 131–136. [Google Scholar] [CrossRef]
- McFeeters, S.K. The use of the Normalized Difference Water Index (NDWI) in the delineation of open water features. Int. J. Remote Sens. 1996, 17, 1425–1432. [Google Scholar] [CrossRef]
- Gao, B.-C. NDWI—A normalized difference water index for remote sensing of vegetation liquid water from space. Remote Sens. Environ. 1996, 58, 257–266. [Google Scholar] [CrossRef]
- Xu, H. Modification of normalised difference water index (NDWI) to enhance open water features in remotely sensed imagery. Int. J. Remote Sens. 2006, 27, 3025–3033. [Google Scholar] [CrossRef]
- Arya, L.M.; Paris, J.F. A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data. Soil Sci. Soc. Am. J. 1981, 45, 1023–1030. [Google Scholar] [CrossRef]
- Bittelli, M.; Flury, M. Errors in water retention curves determined with pressure plates. Soil Sci. Soc. Am. J. 2009, 73, 1453–1460. [Google Scholar] [CrossRef]
- Legates, D.R.; McCabe, G.J., Jr. Evaluating the use of “goodness-of-fit” measures in hydrologic and hydroclimatic model validation. Water Resour. Res. 1999, 35, 233–241. [Google Scholar] [CrossRef]
- Saxton, K.; Rawls, W.J.; Romberger, J.S.; Papendick, R. Estimating generalized soil-water characteristics from texture. Soil Sci. Soc. Am. J. 1986, 50, 1031–1036. [Google Scholar] [CrossRef]
- Cosby, B.; Hornberger, G.; Clapp, R.; Ginn, T. A statistical exploration of the relationships of soil moisture characteristics to the physical properties of soils. Water Resour. Res. 1984, 20, 682–690. [Google Scholar] [CrossRef]
- Bronick, C.J.; Lal, R. Soil structure and management: A review. Geoderma 2005, 124, 3–22. [Google Scholar] [CrossRef]
- Wei, S.; Fu, Y.; Liu, B.; Zhang, Y.; Shao, S.; Zhang, X. Characteristics of soil physical properties and spatial distribution of soil erosion on ridge-slope farmland in the black soil areas of Northeast China. Water 2024, 16, 2353. [Google Scholar] [CrossRef]
- Shellito, P.J.; Small, E.E.; Livneh, B. Controls on surface soil drying rates observed by SMAP and simulated by the Noah land surface model. Hydrol. Earth Syst. Sci. 2018, 22, 1649–1663. [Google Scholar] [CrossRef]
- Reichle, R.H.; De Lannoy, G.J.; Liu, Q.; Ardizzone, J.V.; Colliander, A.; Conaty, A.; Crow, W.; Jackson, T.J.; Jones, L.A.; Kimball, J.S. Assessment of the SMAP level-4 surface and root-zone soil moisture product using in situ measurements. J. Hydrometeorol. 2017, 18, 2621–2645. [Google Scholar] [CrossRef]
- Zheng, J.; Zhao, T.; Lü, H.; Shi, J.; Cosh, M.H.; Ji, D.; Jiang, L.; Cui, Q.; Lu, H.; Yang, K. Assessment of 24 soil moisture datasets using a new in situ network in the Shandian River Basin of China. Remote Sens. Environ. 2022, 271, 112891. [Google Scholar] [CrossRef]
- Vereecken, H.; Huisman, J.; Pachepsky, Y.; Montzka, C.; Van Der Kruk, J.; Bogena, H.; Weihermüller, L.; Herbst, M.; Martinez, G.; Vanderborght, J. On the spatio-temporal dynamics of soil moisture at the field scale. J. Hydrol. 2014, 516, 76–96. [Google Scholar] [CrossRef]
- Merlin, O.; Al Bitar, A.; Walker, J.P.; Kerr, Y. An improved algorithm for disaggregating microwave-derived soil moisture based on red, near-infrared and thermal-infrared data. Remote Sens. Environ. 2010, 114, 2305–2316. [Google Scholar] [CrossRef]
- Schaap, M.G.; Leij, F.J.; Van Genuchten, M.T. Rosetta: A computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions. J. Hydrol. 2001, 251, 163–176. [Google Scholar] [CrossRef]
- Rawls, W.; Pachepsky, Y.A.; Ritchie, J.; Sobecki, T.; Bloodworth, H. Effect of soil organic carbon on soil water retention. Geoderma 2003, 116, 61–76. [Google Scholar] [CrossRef]
- Zhao, H.; Qin, J.; Gao, T.; Zhang, M.; Sun, H.; Zhu, S.; Xu, C.; Ning, T. Immediate and long-term effects of tillage practices with crop residue on soil water and organic carbon storage changes under a wheat-maize cropping system. Soil Tillage Res. 2022, 218, 105309. [Google Scholar] [CrossRef]
- Gessner, U.; Reinermann, S.; Asam, S.; Kuenzer, C. Vegetation Stress Monitor—Assessment of Drought and Temperature-Related Effects on Vegetation in Germany Analyzing MODIS Time Series over 23 Years. Remote Sens. 2023, 15, 5428. [Google Scholar] [CrossRef]
- Dazas, B.; Lanson, B.; Delville, A.; Robert, J.-L.; Komarneni, S.; Michot, L.J.; Ferrage, E. Influence of tetrahedral layer charge on the organization of interlayer water and ions in synthetic Na-saturated smectites. J. Phys. Chem. C 2015, 119, 4158–4172. [Google Scholar] [CrossRef]
- Hubert, F.; Caner, L.; Meunier, A.; Lanson, B. Advances in characterization of soil clay mineralogy using X-ray diffraction: From decomposition to profile fitting. Eur. J. Soil Sci. 2009, 60, 1093–1105. [Google Scholar] [CrossRef]










Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Meng, L.; Chen, Y.; Ma, S.; Wang, Y.; Liu, H. Remote Sensing of Soil Water Retention Signatures Using Sentinel-2 Time-Series and Exponential Decay Fitting Model. Sensors 2026, 26, 3709. https://doi.org/10.3390/s26123709
Meng L, Chen Y, Ma S, Wang Y, Liu H. Remote Sensing of Soil Water Retention Signatures Using Sentinel-2 Time-Series and Exponential Decay Fitting Model. Sensors. 2026; 26(12):3709. https://doi.org/10.3390/s26123709
Chicago/Turabian StyleMeng, Linghua, Ya Chen, Shinai Ma, Yihao Wang, and Huanjun Liu. 2026. "Remote Sensing of Soil Water Retention Signatures Using Sentinel-2 Time-Series and Exponential Decay Fitting Model" Sensors 26, no. 12: 3709. https://doi.org/10.3390/s26123709
APA StyleMeng, L., Chen, Y., Ma, S., Wang, Y., & Liu, H. (2026). Remote Sensing of Soil Water Retention Signatures Using Sentinel-2 Time-Series and Exponential Decay Fitting Model. Sensors, 26(12), 3709. https://doi.org/10.3390/s26123709

