Hyperspectral estimation model of soil organic matter content based on principal gradient grey information

IF 3.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Grey Systems-Theory and Application Pub Date : 2024-05-08 DOI:10.1108/gs-12-2023-0124
Lu Xu, Shuang Cao, Xican Li
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Abstract

Purpose

In order to explore a new estimation approach of hyperspectral estimation, this paper aims to establish a hyperspectral estimation model of soil organic matter content with the principal gradient grey information based on the grey information theory.

Design/methodology/approach

Firstly, the estimation factors are selected by transforming the spectral data. The eigenvalue matrix of the modelling samples is converted into grey information matrix by using the method of increasing information and taking large, and the principal gradient grey information of modelling samples is calculated by using the method of pro-information interpolation and straight-line interpolation, respectively, and the hyperspectral estimation model of soil organic matter content is established. Then, the positive and inverse grey relational degree are used to identify the principal gradient information quantity of the test samples corresponding to the known patterns, and the cubic polynomial method is used to optimize the principal gradient information quantity for improving estimation accuracy. Finally, the established model is used to estimate the soil organic matter content of Zhangqiu and Jiyang District of Jinan City, Shandong Province.

Findings

The results show that the model has the higher estimation accuracy, among the average relative error of 23 test samples is 5.7524%, and the determination coefficient is 0.9002. Compared with the commonly used methods such as multiple linear regression, support vector machine and BP neural network, the hyperspectral estimation accuracy of soil organic matter content is significantly improved. The application example shows that the estimation model proposed in this paper is feasible and effective.

Practical implications

The estimation model in this paper not only fully excavates and utilizes the internal grey information of known samples with “insufficient and incomplete information”, but also effectively overcomes the randomness and grey uncertainty in the spectral estimation. The research results not only enrich the grey system theory and methods, but also provide a new approach for hyperspectral estimation of soil properties such as soil organic matter content, water content and so on.

Originality/value

The paper succeeds in realizing both a new hyperspectral estimation model of soil organic matter content based on the principal gradient grey information and effectively dealing with the randomness and grey uncertainty in spectral estimation.

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基于主梯度灰色信息的土壤有机质含量高光谱估算模型
为了探索一种新的高光谱估算方法,本文以灰色信息理论为基础,建立了主梯度灰色信息的土壤有机质含量高光谱估算模型。利用信息增大和取大的方法将建模样本的特征值矩阵转换为灰信息矩阵,分别利用顺信息插值法和直线插值法计算建模样本的主梯度灰信息,建立土壤有机质含量的高光谱估算模型。然后,利用正灰色关系度和反灰色关系度确定测试样本对应已知模式的主梯度信息量,并利用三次多项式方法优化主梯度信息量,以提高估算精度。结果表明,该模型具有较高的估算精度,23 个测试样本的平均相对误差为 5.7524%,判定系数为 0.9002。与常用的多元线性回归、支持向量机和 BP 神经网络等方法相比,高光谱估算土壤有机质含量的准确性明显提高。应用实例表明,本文提出的估算模型是可行的、有效的。实践意义本文的估算模型不仅充分挖掘和利用了已知样本 "信息不充分、不完整 "的内部灰色信息,而且有效克服了光谱估算中的随机性和灰色不确定性。研究成果不仅丰富了灰色系统理论和方法,而且为土壤有机质含量、含水量等土壤性质的高光谱估算提供了一种新方法。
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来源期刊
Grey Systems-Theory and Application
Grey Systems-Theory and Application MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.80
自引率
13.80%
发文量
22
期刊最新文献
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