基于机器学习与地统计学融合的山地丘陵区土壤厚度预测
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西南大学资源环境学院,重庆400715

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国家自然科学基金项目(41977002)资助


Prediction of Soil Thickness in Hilly and Mountainous Regions Based on the Integration of Machine Learning and Geostatistics
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College of Resource and Environment, Southwest University, Chongqing 400715, China

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Supported by the National Natural Science Foundation of China (No. 41977002)

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    摘要:

    土壤厚度是表征土壤资源状况的关键属性,其准确的空间预测对理解土壤资源分布具有重要意义。针对传统预测模型在丘陵山区普适性差、纯机器学习模型忽略土壤空间自相关性的问题,以渝西山地丘陵区为研究对象,基于117个土壤剖面实测数据和38个环境协变量,系统对比了多元线性回归(MLR)、随机森林(RF)、极限梯度提升(XGBoost)三种基准模型与随机森林残差克里格(RFRK)混合模型的土壤厚度预测精度。采用方差膨胀因子(VIF)、Boruta算法和递归特征消除(RFE)进行多阶段变量筛选,从38个环境协变量中确定了7个核心变量。结果表明:(1)集水区总面积(TCA)、河网基准(CNBL)、土壤增强指数2(SER2)、河网距离(CND)、土壤增强指数1(SER1)、坡向(ASP)和坡度(SLP)是控制研究区土壤厚度空间分异的主导因素;(2)RFRK模型预测精度最高(决定系数R2=0.68,林氏一致性相关系数LCCC=0.79,平均绝对误差MAE=14.59 cm,均方根误差RMSE=19.86 cm),显著优于三种基准模型。与性能最优的基准模型RF相比,RFRK模型的R2提升了9.7%,MAE降低了12.3%,RMSE降低了6.2%。综上,融合机器学习与地统计学的RFRK混合模型能更精确地刻画复杂地形区土壤厚度的空间格局,可为区域尺度土壤资源评价与管理提供技术支撑。

    Abstract:

    【Objective】The hilly region of western Chongqing is a transitional zone characterized by fragmented terrain and substantial elevation gradients, where soil thickness exhibits pronounced spatial variability driven by complex geomorphic processes. Soil thickness is a key indicator of soil resource status and plays a critical role in hydrological processes, ecosystem productivity, and geological hazard assessment. Traditional models used for soil thickness prediction often lack generalizability in hilly regions due to pronounced spatial heterogeneity, while pure machine learning approaches tend to overlook inherent spatial autocorrelation, potentially introducing local prediction biases. Therefore, accurate spatial prediction is essential for understanding soil resource distribution and supporting sustainable land management. 【Method】Based on 117 soil profiles (2020–2025) and 38 environmental covariates spanning topography, climate, remote sensing, parent material, and human activities, three benchmark models were compared: multiple linear regression (MLR), random forest (RF), and extreme gradient boosting (XGBoost) against a hybrid model, random forest residual Kriging (RFRK). A multi-stage variable selection procedure incorporating variance inflation factor, boruta algorithm, and recursive feature elimination addressed multicollinearity and overfitting. Climate variables (1 km) were resampled to 12.5 m via bilinear interpolation. After excluding five outliers (3σ/5σ criteria), 112 valid samples were partitioned into training (80%) and validation (20%) sets. Model performance was assessed using mean absolute error (MAE), root mean square error (RMSE), coefficient of determination (R2), and Lin’s concordance correlation coefficient (LCCC). For RFRK, variogram analysis characterized residual spatial structure, with model hyperparameters optimized through grid search. 【Result】(1) The screening strategy reduced 38 covariates to seven core variables, ranked by importance: total catchment area (TCA) > channel network baseline (CNBL) > soil enhancement index 2 (SER2) > channel network distance (CND) > soil enhancement index 1 (SER1) > aspect (ASP) > slope (SLP). This subset (five topographic, two remote sensing) underscores terrain-driven material redistribution as the primary control on soil thickness. (2) RFRK achieved the highest accuracy (R2 = 0.68, LCCC = 0.79, MAE = 14.59 cm, RMSE = 19.86 cm), significantly outperforming all benchmarks. Relative to the best benchmark (RF), RFRK improved R2 by 9.7%, reduced MAE by 12.3%, and reduced RMSE by 6.2%. MLR performed the poorest (R2 = 0.37), whereas XGBoost was intermediate (R2 = 0.56). (3) Variogram analysis revealed strong residual spatial autocorrelation (nugget/sill = 0.0017; range = 179.08 m), justifying kriging for local bias correction. The predicted map showed “thick northeast/southwest, thin central,” with thick layers (>80 cm) in valleys and gentle slopes, and thin layers (0–40 cm) on steep ridges and areas with intense anthropogenic disturbance. 【Conclusion】The RFRK hybrid model, integrating machine learning for nonlinear responses with geostatistical modeling of residual autocorrelation, characterizes soil thickness patterns in complex terrains more accurately than pure machine learning or linear models. This study validates the VIF-Boruta-RFE screening strategy and confirms RFRK’s superiority in capturing both deterministic environmental controls and stochastic spatial structures. The findings provide robust technical support for soil resource assessment and management and offer a generalizable methodological reference for digital soil mapping in comparable hilly and mountainous landscapes worldwide.

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王彬,张甜,饶路漫,慈恩.基于机器学习与地统计学融合的山地丘陵区土壤厚度预测[J].土壤学报,DOI:10.11766/trxb202512200605,[待发表]
WANG Bin, ZHANG Tian, RAO Luman, CI En. Prediction of Soil Thickness in Hilly and Mountainous Regions Based on the Integration of Machine Learning and Geostatistics[J]. Acta Pedologica Sinica, DOI:10.11766/trxb202512200605,[In Press]

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  • 收稿日期:2025-12-20
  • 最后修改日期:2026-07-17
  • 录用日期:2026-08-20
  • 在线发布日期: 2026-08-25
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