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Journal of Arid Land  2026, Vol. 18 Issue (7): 1135-1158    DOI: 10.1016/j.jaridl.2026.05.010    
Research article     
Incorporating spatial autocorrelation into soil salinity models: Insights from the Minqin Oasis and its desert-oasis transition zone in Northwest China
ZHAO Dan1,2,3, YANG Xiya1,3, GAO Yukun1,2,3, PAN Jing1,3, YOU Quangang1,3, XUE Xian1,3,*()
1 State Key Laboratory of Ecological Safety and Sustainable Development in Arid Lands, Lanzhou 730000, China
2 University of Chinese Academy of Sciences, Beijing 101408, China
3 Drylands Salinization Research Station, Northwest Institute of Eco-environment & Resources, Chinese Academy of Sciences, Lanzhou 730000, China
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Abstract  

Remote sensing-based soil salinity inversion serves as a crucial approach for monitoring and assessment in arid regions. However, most existing models rarely account for the spatial autocorrelation (SAC) of soil salinity, which limits both their predictive accuracy and ability to capture spatial patterns. To address this gap, this study investigated the Minqin Oasis and its adjacent desert-oasis transition zone in Northwest China. Based on collected field soil samples and concurrently acquired Landsat-8 OLI remote sensing images in 2024, we incorporated characteristic bands reflecting SAC into conventional spectral indices. Through multi-band combination optimization and comparison of different models' predictive performance, we constructed an optimal soil salinity inversion model for the Minqin Oasis and its adjacent desert-oasis transition zone. The results demonstrated that incorporating SAC of soil salinity markedly improved model performance, with the Gradient Boosting Regression Trees (GBRT) model incorporating SAC (GBRT_SAC) achieving the best accuracy. Compared with the traditional spectral index-based GBRT model, the coefficient of determination (R2) increased by 7.320%, the root mean square error (RMSE) decreased by 20.230%, and the mean absolute percentage error (MAPE) decreased by 121.01% using the GBRT_SAC model. The soil salinity distribution derived from the GBRT_SAC model revealed pronounced spatial heterogeneity, with salinized areas covering approximately 1256.75 km2 (36.170% of the total area). Soil salinity was jointly influenced by natural and anthropogenic factors. At the regional scale, soil type and vegetation type emerged as the dominant drivers shaping soil salinity patterns. In contrast, within the oasis interior, soil salinity was primarily driven by groundwater table regulated by irrigation, leading to surface salt accumulation through capillary rise. In the 1000 m desert-oasis transition zone, the explanatory power (q-value) of all environmental factors for spatial variation of soil salinity significantly increased, indicating a sensitive interface where hydrological and aeolian processes interact. Notably, although soil salinity was relatively lower in sandy areas, sand content emerged as the most influential factor in this region (q-value=0.483), effectively serving as a key indicator of the transitional environment. By introducing SAC-based features into soil salinity inversion models, this study provides a robust methodological framework and valuable data to support understanding and management of soil salinization in arid desert-oasis ecotone systems.



Key wordssoil salinization      spatial autocorrelation (SAC)      machine learning      Gradient Boosting Regression Trees (GBRT)      spatial heterogeneity      GeoDetector      desert-oasis transition zone     
Received: 28 November 2025      Published: 31 July 2026
Corresponding Authors: *XUE Xian (E-mail: xianxue@lzb.ac.cn)
About author: First author contact:

Conceptualization: ZHAO Dan, XUE Xian; Data curation: ZHAO Dan, YANG Xiya, GAO Yukun; Formal analysis: ZHAO Dan, YANG Xiya, PAN Jing, YOU Quangang; Investigation: ZHAO Dan, YANG Xiya, GAO Yukun; Methodology: ZHAO Dan, GAO Yukun; Resources: ZHAO Dan, YANG Xiya, GAO Yukun, PAN Jing, YOU Quangang, XUE Xian; Visualization: ZHAO Dan; Writing - original draft preparation: ZHAO Dan, XUE Xian; Writing - review and editing: XUE Xian; Funding acquisition: XUE Xian; Supervision: PAN Jing, YOU Quangang, XUE Xian. All authors approved the manuscript.

Cite this article:

ZHAO Dan, YANG Xiya, GAO Yukun, PAN Jing, YOU Quangang, XUE Xian. Incorporating spatial autocorrelation into soil salinity models: Insights from the Minqin Oasis and its desert-oasis transition zone in Northwest China. Journal of Arid Land, 2026, 18(7): 1135-1158.

URL:

http://jal.xjegi.com/10.1016/j.jaridl.2026.05.010     OR     http://jal.xjegi.com/Y2026/V18/I7/1135

Fig. 1 Overview of the study area (Minqin Oasis and its adjacent desert-oasis transition zone) and distribution of sampling points (a), and photos showing different land use/cover types in the study area (b)
Level Soil salinity class EC (dS/m)
Level 1 Non-salinization <2.000
Level 2 Light salinization 2.000-4.000
Level 3 Moderate salinization 4.000-8.000
Level 4 Severe salinization 8.000-16.000
Level 5 Extreme salinization (saline soil) >16.000
Table 1 Classification of soil salinity based on electrical conductivity (EC)
Land surface parameter Abbreviation Formula Reference
Intensity index 1 Int1 $\left( \text{B}3+\text{B}4 \right)/2$ Jia et al. (2024b)
Intensity index 2 Int2 $\left( \text{B}3+\text{B}4+\text{B}5 \right)/2$ Guo et al. (2023a)
Vegetation soil salinity index VSSI $2\times \text{B}3-5\times \left( \text{B}4+\text{B}5 \right)$ Jiang et al. (2022)
Normalized difference salinity index NDSI $\left( \text{B}4-\text{B}5 \right)/\left( \text{B}4+\text{B}5 \right)$ Wang et al. (2023a)
Salinity index 1 S1 $\text{B}2/\text{B}4$ Guo et al. (2023b)
Salinity index 2 S2 $\left( \text{B}2-\text{B}4 \right)/\left( \text{B}2+\text{B}4 \right)$ Han et al. (2021)
Salinity index 3 S3 $(\text{B}3\times \text{B}4)/\text{B}2$ Ma et al. (2023)
Salinity index 4 S4 $\begin{matrix}
(\text{B}2\times \text{B}4)/\text{B}3 \\
\end{matrix}$
Khosravichenar et al. (2023)
Salinity index 5 S5 $(\text{B}4\times \text{B}5)/\text{B}3$ Khosravichenar et al. (2023)
Salinity index 6 S6 $\text{B}6/\text{B}7$ Wang et al. (2023b)
Salinity index 7 S7 $\left( \text{B}6-\text{B}7 \right)/\left( \text{B}6+\text{B}7 \right)$ Jiang et al. (2022)
Salinity index 8 S8 $\text{B}6-\text{B}7$ Jiang et al. (2022)
Salinity index 9 S9 $(\text{B}6\times \text{B}7-\text{B}7\times \text{B}7)/\text{B}6$ Jiang et al. (2022)
Salinity index I-T SI-T $\frac{\text{B}4}{\text{B5}}\times 100$ Allbed et al. (2014)
Salinity index SI $\sqrt{\text{B}4\times \text{B2}}$ Ge et al. (2022)
Salinity index I SI1 $\sqrt{\text{B}4\times \text{B}3}$ Yu et al. (2023)
Salinity index II SI2 $\sqrt{\text{B}{{5}^{2}}+\text{B}{{4}^{2}}\text{+B}{{\text{3}}^{2}}}$ Xiao et al. (2024)
Salinity index III SI3 $\sqrt{\text{B}{{4}^{2}}\text{+B}{{\text{3}}^{2}}}$ Yu et al. (2023)
Canopy response salinity index COSRI $\sqrt{\frac{\text{B5}\times \text{B4}-\text{B3}\times \text{B2}}{\text{B5}\times \text{B4}+\text{B3}\times \text{B2}}}$ Jia et al. (2024a)
Modified soil adjusted vegetation index MSAVI $\frac{\left( \text{2}\times \text{B5}-1 \right)-\sqrt{{{\left( \text{2}\times \text{B5+}1 \right)}^{2}}-8\times \left( \text{B5}-\text{B}4 \right)}}{2}$ Wang et al. (2023a)
Modified normalized
difference water index
MNDWI $\frac{\text{B3}-\text{B6}}{\text{B3}+\text{B6}}$ Jia et al. (2024a)
Green atmospherically resistant vegetation index GARI $\frac{\text{B}5-\left( \text{B}3+1.7\times \left( \text{B}2-\text{B}3 \right) \right)}{\text{B}5+\left( \text{B}3+1.7\times \left( \text{B}2-\text{B}3 \right) \right)}$ Xiong et al. (2025)
Enhanced vegetation index EVI $2.5\times \frac{\text{B}5-\text{B}4}{\text{B}5+6\times \text{B4}-\text{7}\text{.5}\times \text{B2+1}}$ Wang et al. (2023a)
Table 2 Formulas used for soil salinity inversion
Fig. 2 Workflow of this study. EC, electrical conductivity; SAC, spatial autocorrelation; SAC8, local spatial autocorrelation; SACall, global spatial autocorrelation; MLR, multiple linear regression; PLS, partial least squares regression; Ridge, ridge regression; Lasso, least absolute shrinkage and selection operator regression; CatBoost, categorical boosting; GBRT, gradient boosting regression trees; XGBoost, eXtreme Gradient Boosting; RF, random forest; R2, coefficient of determination; RMSE, root mean square error; MAPE, mean absolute percentage error.
Soil salinity class Number of samples Mean (dS/m) SD (dS/m) CV (%) Min. (dS/m) Max. (dS/m) Median (dS/m)
Non-salinization 169 0.490 0.526 107.276 0.049 1.993 0.238
Light salinization 33 2.947 0.599 20.336 2.040 3.980 2.830
Moderate salinization 36 5.953 1.013 17.014 4.150 7.920 5.860
Severe salinization 26 11.270 2.320 20.590 8.010 15.590 11.345
Extreme salinization (saline soil) 10 21.285 3.785 17.782 16.030 25.600 21.775
All samples 274 3.286 5.004 152.288 0.049 25.600 1.086
Table 3 Descriptive statistics of soil EC
Fig. 3 Importance ranking of soil salinity feature variables based on Pearson correlation analysis (ranked by absolute correlation coefficients). Variables with a negative correlation are marked with a ''(-)''. S1-S9, salinity index 1-salinity index 9, respectively; MNDWI, modified normalized difference water index; SI-T, salinity index I-T; B7, Shortwave Infrared 2 band; EVI, enhanced vegetation index; MSAVI, modified soil adjusted vegetation index; B5, Near-infrared band; B2, Blue band; SI2, salinity index II; Int2, intensity index 2; B3, Green band; SI, salinity index; SI1, salinity index I; Int1, intensity index 1; SI3, salinity index III; VSSI, vegetation soil salinity index; B4, Red band; GARI, green atmospherically resistant vegetation index; B6, Shortwave Infrared 1 band; COSRI, canopy response salinity index; NDSI, normalized difference salinity index. Variables were grouped by significance: correlated (significantly correlated with soil salinity at P<0.05 level) and not correlated (not significantly correlated with soil salinity at P≥0.05 level).
Fig. 4 Scatter plots of predicted and measured soil EC using four regression models with different feature strategies. (a1-a4), MLR, Ridge, Lasso, and PLS models with adding SACall, respectively; (b1-b4), MLR, Ridge, Lasso, and PLS models with adding SAC8, respectively; (c), MLR, Ridge, Lasso, and PLS models without adding SAC, respectively. R2, RMSE, and MAPE denote the performance evaluation metrics.
Fig. 5 Comparison of the predictive performance of different machine learning models with different feature strategies (models without adding SAC, with adding SAC8, and with adding SACall). (a), R2; (b), RMSE; (c), MAPE.
Fig. 6 Spatial distribution of land use/cover (a), soil pH (b), EC (c), soil salinity class (d), clay content (e), and sand content (f) in the study area
Fig. 7 Area distribution of soil salinity classes with distance from the oasis boundary (a), and soil salinity variation across different land use/cover types with distance from the oasis boundary (b). In the right panel, the colored filled surfaces represent the continuous trend surfaces of EC for each land use/cover type, illustrating the spatial variation of soil salinity.
Fig. 8 Analysis of the driving mechanism of soil salinity using the GeoDetector model. (a), explanatory power (q-value) of individual influencing factors derived from the Factor Detector analysis; (b), interactive effects between pairs of influencing factors derived from the Interaction Detector analysis. The color gradient represents the magnitude of the interaction strength. NDVI, normalized difference vegetation index.
Fig. 9 Explanatory power (q-value) of influencing factors affecting soil salinity changes at different distances from the oasis boundary based on Factor Detection analysis. (a), oasis interior (the original Minqin Oasis boundary, i.e., only the oasis interior area); (b), 100 m buffer zone (the oasis interior plus a 100 m buffer zone extending outward from the oasis perimeter); (c) 500 m buffer zone (the oasis interior plus a 500 m buffer zone extending outward from the oasis perimeter); (d), 1000 m buffer zone (the oasis interior plus a 1000 m buffer zone extending outward from the oasis perimeter.
Fig. 10 Prediction accuracy comparison of the GBRT model under different modeling scenarios. (a), full variables without SACall; (b), full variables with SACall; (c), filtered variables without SACall; (d), filtered variables with SACall.
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