中国农业科学 ›› 2026, Vol. 59 ›› Issue (12): 2606-2622.doi: 10.3864/j.issn.0578-1752.2026.12.006

• 耕作栽培·生理生化·农业信息技术 • 上一篇    下一篇

基于无人机高光谱分数阶微分的油菜营养元素含量估算

徐宾灿1(), 马瑜蔓1, 邹冉1, 胡洁2, 余强毅1, 吴文斌1, 周清波1, 史云1, 宋茜1()   

  1. 1 中国农业科学院农业资源与农业区划研究所/北方干旱半干旱耕地高效利用全国重点实验室, 北京 100081
    2 湖北省农业科学院经济技术研究所, 武汉 430064
  • 收稿日期:2025-10-31 接受日期:2026-05-12 出版日期:2026-06-16 发布日期:2026-06-16
  • 通信作者:
    宋茜,E-mail:
  • 联系方式: 徐宾灿,E-mail:xbc998866@163.com。
  • 基金资助:
    国家重点研发计划(2021YFD1600500); 中央级公益性科研院所基本科研业务费专项(Y2026YC38); 新疆维吾尔自治区科技项目(2022LQ02004); 新疆维吾尔自治区科技项目(2023B02014-2)

Estimating Rapeseed Nutrient Content Using Fractional-Order Differentiation of UAV-Based Hyperspectral Data

XU BinCan1(), MA YuMan1, ZOU Ran1, HU Jie2, YU QiangYi1, WU WenBin1, ZHOU QingBo1, SHI Yun1, SONG Qian1()   

  1. 1 The Institute of Agricultural Resources and Regional Planning, Chinese Academy of Agricultural Sciences/State Key Laboratory of Efficient Utilization of Arable Land in China, Beijing 100081
    2 Industrial Crops Institute, Hubei Academy of Agricultural Sciences, Wuhan 430064
  • Received:2025-10-31 Accepted:2026-05-12 Published:2026-06-16 Online:2026-06-16

摘要:

【背景】营养元素对于油菜的生长、产量和品质至关重要。快速、无损地监测油菜冠层营养水平对于精准营养诊断和生长评估具有重要意义。虽然光谱遥感技术已成为替代传统实验室方法的高效方案,但在面对油菜冠层复杂光谱环境时,常规方法难以有效精细挖掘特异性特征信息,限制了多营养元素同步监测的精度。【目的】通过探究油菜营养元素高光响应机制,构建油菜叶片6种营养元素硼(B)、氮(N)、磷(P)、钾(K)、钙(Ca)、硫(S)的定量估算模型并提升其估算精度,分析不同建模方法对营养元素估算的影响,为油菜精准营养元素管理提供参考依据。【方法】基于油菜关键生育时期高光谱数据与叶片营养含量,采用分数阶微分(FOD)技术增强光谱特征信号,并系统对比偏最小二乘回归(PLSR)、支持向量回归(SVR)和随机森林回归(RFR)3种机器学习算法的营养元素估算模型精度。【结果】FOD光谱相较原始光谱模型R 2提高13%—30%,且训练集与测试集性能差异最小(平均ΔR 2=0.09),特别是高阶FOD(>1.0)有效凸显了红边斜率等细微特征并消除了基线漂移,使得N和B的最佳模型R 2分别达到0.89和0.87。在3种算法中,RFR表现最为稳健(不同营养元素测试集R 2为0.48—0.89),且其筛选的敏感波段(如蛋白质和叶绿素吸收区)与作物生理机制高度吻合。空间制图揭示营养元素异质性分布特征,证实模型对田间微环境的解析能力。【结论】通过提出并验证FOD-RFR耦合方法体系,可有效解析油菜全生育期多营养元素的细微光谱特征,实现精度显著提升的非破坏性同步估算。该方法体系不仅实现了油菜多营养元素的差异化协同估算,也为大田作物复杂生化参数的遥感监测提供了可借鉴参考价值。

关键词: 油菜, 无人机, 高光谱, 分数阶微分, 营养元素

Abstract:

【Background】Nutrient elements are crucial for the growth, yield, and quality of rapeseed. Rapid and non-destructive monitoring of canopy nutrient status in rapeseed is of great significance for precise nutrient diagnosis and growth assessment. Although spectral remote sensing technology has become an efficient alternative to traditional laboratory methods, conventional approaches often struggle to effectively and finely extract specific feature information when faced with the complex canopy spectral environment of rapeseed, limiting the accuracy of synchronous monitoring for multiple nutrient elements.【Objective】By exploring the hyperspectral response mechanism of nutrient elements in rapeseed, this study aimed to construct quantitative estimation models for six nutrient elements in rapeseed leaves, namely boron (B), nitrogen (N), phosphorus (P), potassium (K), calcium (Ca), and sulfur (S), and improve their estimation accuracy, while analyzing the impact of different modeling methods on nutrient estimation, thereby providing a reference for precision nutrient management.【Method】Based on hyperspectral data acquired during key growth stages of rapeseed and corresponding leaf nutrient concentrations, this study employed fractional-order differentiation (FOD) to enhance spectral feature signals and systematically compared the estimation accuracy of leaf nutrient contents using three machine learning algorithms: partial least squares regression (PLSR), support vector regression (SVR), and random forest regression (RFR).【Result】Compared with the original spectral models, the models based on FOD spectra showed a 13%-30% increase in R2, with the smallest performance difference between the training and test sets (average ΔR2=0.09). In particular, high-order FOD (>1.0) effectively highlighted subtle features like the red-edge slope and eliminated baseline drift, making the R2 of the optimal models for N and B reach 0.89 and 0.87, respectively. Among the three algorithms, RFR exhibited the most robust performance (test-set R2 for different nutrients ranging from 0.48 to 0.89), with its selected sensitive bands (e.g., protein and chlorophyll absorption regions) closely align with crop physiological mechanisms. Spatial mapping revealed heterogeneous distribution characteristics of nutrients, confirming the model's ability to interpret field micro-environments. 【Conclusion】This study proposed and validated a coupled methodological framework of FOD-RFR, which was capable of effectively deciphering subtle spectral features of multiple nutrients throughout the entire growth cycle of rapeseed, enabling non-destructive simultaneous estimation with significantly improved accuracy. This framework not only achieved differentiated collaborative estimation of multiple nutrients in rapeseed but also provided valuable insights and references for the remote sensing monitoring of complex biochemical parameters in field crops.

Key words: rapeseed, unmanned aerial vehicle, hyperspectral, fractional-order differentiation, nutrient elements