分数阶微分和光谱指数结合的典型黑土区有机质光谱预测研究
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1.南京信息工程大学生态与应用气象学院;2.武汉大学资源与环境科学学院;3.土壤与农业可持续发展全国重点实验室

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Spectral Prediction of Soil Organic Matter in Typical Black Soil Regions by Combining Fractional-Order Derivatives and Spectral Indices
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1.College of Ecology and Applied Meteorology,Nanjing University of Information Science and Technology;2.School of Resource and Environmental Sciences,Wuhan University;3.State Key Laboratory of Soil and Sustainable Agriculture,Institute of Soil Science,Chinese Academy of Sciences

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    摘要:

    土壤有机质(Soil organic matter, SOM)含量的快速、准确预测对土壤肥力评价和农业可持续发展至关重要。本研究基于室内可见-近红外(Visible and near-infrared,Vis-NIR)光谱数据,构建分数阶微分(Fractional-order derivative,FOD)与光谱指数协同建模策略,用于东北典型黑土区SOM含量的快速预测。采集227份耕地土壤样本,获取室内Vis-NIR光谱数据和SOM实测值,并对光谱数据进行0~2阶(间隔0.1)的FOD处理;计算二维和三维光谱指数,并分析其与SOM含量间的相关性,筛选出最优光谱指数;采用随机森林(Random forest, RF)和Cubist两种建模方法构建SOM光谱反演模型。结果表明,FOD处理可提升微弱的土壤光谱吸收特征,有效提升模型对SOM含量的预测能力。相比原始光谱和整数阶微分(一阶和二阶),基于0.3阶微分处理土壤光谱数据建立的Cubist模型性能最佳,验证R2为0.74。RF模型则适合1.6~1.9阶处理的土壤光谱数据,其R2稳定为0.63~0.65。相比二维光谱指数,三维光谱指数表现出与SOM更高的相关性,证实了多波段交互信息对提高特征变量解释力方面的潜力。基于最优光谱指数数据集建立的RF和Cubist模型在多个分数阶微分处理下展现出良好的模型精度。本研究验证了FOD处理和光谱指数在SOM预测中的可行性,可为光谱技术在复杂农业场景中进行高精度监测提供重要参考和技术支撑。

    Abstract:

    【Objective】Rapid and accurate estimation of soil organic matter (SOM) is crucial for assessing soil fertility, guiding sustainable agricultural management, and supporting carbon accounting at regional and global scales. SOM is a key indicator of soil quality, influencing nutrient cycling, microbial activity, crop productivity, and soil carbon sequestration potential. While reliable, traditional chemical analysis methods are costly, time-consuming, and destructive, making them unsuitable for large-scale or repeated monitoring. Visible and near-infrared (Vis-NIR) spectroscopy provides a rapid, non-destructive, and environmentally friendly alternative for SOM assessment. However, the effectiveness of Vis-NIR spectroscopy is often limited by spectral noise, baseline drift, and low sensitivity to absorption features associated with organic components. Therefore, developing advanced spectral transformation and modeling strategies that can enhance weak spectral signals and extract effective features related to SOM is essential. This study aims to construct a collaborative modeling framework combining fractional derivative (FOD) transformation and spectral indices to improve the interpretability and predictive accuracy of Vis-NIR spectral data from typical black soil regions in Northeast China.【Methods】A total of 227 soil samples were collected from representative farmland in the black soil region, an important grain-producing area in Northeast China. The reflectance spectra and SOM content were obtained in the laboratory. The spectral data were processed with FOD ranging from 0 to 2.0 (increment by 0.1 at each step). Two-dimensional (2D) and three-dimensional (3D) spectral indices were calculated to explore the interaction information between different wavelength combinations. The correlation between each spectral index and SOM content was analyzed to determine the most sensitive index. Two machine learning algorithms—random forest (RF) and Cubist—were used to construct prediction models. The input datasets were divided into two categories: (1) FOD-transformed reflectance (FOD dataset); and (2) spectral indices that were most strongly correlated with SOM (index dataset). Four models were thus constructed: FOD-RF, Index-RF, FOD-Cubist, and Index-Cubist. Ten-fold cross-validation was used to evaluate the performance of the model, and the determination coefficient (R2) and root mean square error (RMSE) were used as evaluation indexes. In addition, this study also analyzes the importance of model characteristics to determine the key wavelength or exponential combination that is helpful for SOM prediction.【Results】FOD transform significantly improved the spectral interpretability and enhanced the detection of weak organic absorption characteristics in the Vis-NIR band. The Cubist model with the 0.3-order derivative spectrum exhibited the best performance and provided a validation R2 of 0.74. The RF model performs best at higher derivatives (1.6-1.9), and the R2 value remains between 0.63 and 0.65. In addition, the correlation between 3D spectral index and SOM is stronger than that of 2D index, and 3D spectral index improves the interpretability of features. The characteristic importance analysis showed that the most sensitive spectral regions predicted by SOM were located within 1410-1880 nm and 2200-2350 nm, corresponding to the overtone and combined vibration of C-H, N-H and O-H functional groups.【Conclusion】The combination of FOD preprocessing and spectral index provides a robust, flexible and scalable framework for estimating SOM using Vis-NIR spectroscopy. This study emphasizes a promising direction in the field of intelligent soil remote sensing monitoring and information technology, and provides methodological progress for digital soil mapping, precise nutrient management and sustainable land management. Its application potential is not only limited to the prediction of SOM, but also extended to a wider range of soil property assessment, which provides a theoretical and technical basis for the construction of intelligent soil information system to support the sustainable development of agriculture in major grain producing areas such as northeast China.

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谢平如,洪永胜,徐向华,严国菁,张超,田康,樊亚男,陈剑,胡文友.分数阶微分和光谱指数结合的典型黑土区有机质光谱预测研究[J].土壤学报,,[待发表]
XIE Pingru, HONG Yongsheng, XU Xianghua, Yan Guojing, ZHANG Chao, TIAN Kang, FAN Yanan, CHEN Jian, HU Wenyou. Spectral Prediction of Soil Organic Matter in Typical Black Soil Regions by Combining Fractional-Order Derivatives and Spectral Indices[J]. Acta Pedologica Sinica,,[In Press]

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  • 收稿日期:2025-06-25
  • 最后修改日期:2026-01-27
  • 录用日期:2026-04-02
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