用克里金空间特征增强机器学习,显著提升土壤属性预测精度。
Kriging prior Regression: A Case for Kriging-Based Spatial Features with TabPFN in Soil Mapping
- 通过普通克里金法生成空间滞后特征,为机器学习注入空间上下文。
- 相比无空间信息的算法,平均R²提升约30%,且不确定性估计更可靠。
- 适合小样本、传感器数据少的精准农业场景,兼具鲁棒性与通用性。
机器学习与地统计学是预测和空间制图土壤属性的两种根本不同框架:前者捕捉环境特征与土壤属性的关系,后者利用土壤属性的空间结构。本文提出一种混合框架,通过普通克里金法工程化生成‘空间滞后’特征,将空间上下文融入机器学习,称为‘克里金先验回归’(KpR),其逻辑与回归克里金相反。我们使用TabPFN模型在六个来自LimeSoDa的田块尺度数据集上评估该方法的点预测与概率预测性能,数据涵盖土壤有机碳、黏粒含量和pH值,以及遥感与原位近地传感提取的特征。KpR结合TabPFN在预测准确性和不确定性估计方面均优于多种空间技术(如回归/残差克里金)及传统非空间机器学习算法(如随机森林)。尤其显著的是,相比缺乏空间上下文的机器学习算法,平均R²提升约30%。这一提升源于TabPFN本身在小样本任务中的优异表现,以及KpR特征提供的互补空间信息。由于小样本在精准农业中常见,而近地传感数据常受限,因此本方法可有效弥补传感特征与土壤属性关系弱的问题。结论表明,KpR与TabPFN组合是一种稳健且通用的数字土壤制图框架。
原文摘要 · Abstract (English)
Machine learning and geostatistics are two fundamentally different frameworks for predicting and spatially mapping soil properties. Geostatistics leverages the spatial structure of soil properties, while machine learning captures the relationship between available environmental features and soil properties. We propose a hybrid framework that enriches ML with spatial context through engineering of 'spatial lag' features from ordinary kriging. We call this approach 'kriging prior regression' (KpR), as it follows the inverse logic of regression kriging. To evaluate this approach, we assessed both the point and probabilistic prediction performance of KpR, using the TabPFN model across six fieldscale datasets from LimeSoDa. These datasets included soil organic carbon, clay content, and pH, along with features derived from remote sensing and in-situ proximal soil sensing. KpR with TabPFN demonstrated reliable uncertainty estimates and more accurate predictions in comparison to several other spatial techniques (e.g., regression/residual kriging with TabPFN), as well as to established non-spatial machine learning algorithms (e.g., random forest). Most notably, it significantly improved the average R2 by around 30% compared to machine learning algorithms without spatial context. This improvement was due to the strong prediction performance of the TabPFN algorithm itself and the complementary spatial information provided by KpR features. TabPFN is particularly effective for prediction tasks with small sample sizes, common in precision agriculture, whereas KpR can compensate for weak relationships between sensing features and soil properties when proximal soil sensing data are limited. Hence, we conclude that KpR with TabPFN is a very robust and versatile modelling framework for digital soil mapping in precision agriculture.
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