Effect of Fractional Differential Algorithm on Hyperspectral Data of Saline Soil

Dong, 张东 Zhang; Tashpolat·Tiyip, 塔西甫拉提·特依拜; Fei, 张飞 Zhang; Ardak·Kelimu, 阿尔达克·克里木; Nan, 夏楠 Xia

doi:10.3788/aos201636.0330002

光学学报

2016

DOI: 10.3788/aos201636.0330002

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Effect of Fractional Differential Algorithm on Hyperspectral Data of Saline Soil

张东 Zhang Dong¹,

塔西甫拉提·特依拜 Tashpolat·Tiyip²,

张飞 Zhang Fei³

et al.

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“…The relationships and modeling between spectral data of the original, first-and second-order derivatives, and heavy metal contents were analyzed [11,12,19,20]. Because the original spectral curves can have large difference from their first-and second-order derivatives, ignoring the FO derivatives between them may result in the transitional information being omitted [13,15,21]. Fractional-order differentials were adopted in this study to exploit the potential information within the gradual changes between the curves of the original and IO derivatives.…”

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confidence: 99%

Geographically Weighted Regression Effects on Soil Zinc Content Hyperspectral Modeling by Applying the Fractional-Order Differential

Shang

et al. 2019

Remote Sensing

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With the development of remote sensing techniques and the increasing need for soil contamination monitoring, we estimated soil heavy metal zinc (Zn) content using hyperspectral imaging. Geographically weighted regression (GWR), an extension of the ordinary least squares (OLS) regression framework, was proposed. By estimating a set of parameters for any number of locations in a study area, GWR can probe the spatial heterogeneity in data relationships, whereas the regression parameters of an OLS model are global and aspatially-varied. The objectives of this study were: (1) To find the possible relationships between hyperspectral data and soil Zn content, and (2) to investigate the existence of their spatial heterogeneity. In this study, 67 soil samples collected from Pingtan Island, Fujian Province, China, were used to conduct laboratory hyperspectral modeling for soil Zn content estimation. Four transformations of square root, logarithm, reciprocal of logarithm, and reciprocal, as well as the fractional-order differential operations were applied to increase the amount of reflectance data in which the effective variables for modeling might be involved, and to enhance the spectral characteristics of soil Zn content. To find sensitive variables and to remove redundancy and multicollinearity in the spectra, a data sifting process was applied by selecting wavelengths with local maximum in the absolute values of the correlation coefficients with Zn content in one type of spectral data and by employing Variance Inflation Factors. Since a modeling sample size of 46 is insufficient to construct the appropriate OLS and GWR models, four methods are proposed using all 67 samples to choose explanatory variables. A random process to select 57 samples for modeling and 10 samples for validation was applied to assess model performance, in which the mean verification R2 (Rv2) was used as an indicator. The results show that GWR stepwise regression is the most effective method to select better variables. As the mean Rv2 converges toward the OLS value when the bandwidth of the GWR model increases, the four variables selected by the GWR stepwise regression were used to establish the representative OLS and GWR models. The representative OLS model has the best mean verification effect among all studied models, which had a mean Rv2 value that is 44.6% higher than the OLS model constructed using OLS stepwise regression.

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Geographically Weighted Regression Effects on Soil Zinc Content Hyperspectral Modeling by Applying the Fractional-Order Differential

Shang

et al. 2019

Remote Sensing

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Estimation of Nitrogen Content on Apple Tree Canopy through Red-Edge Parameters from Fractional-Order Differential Operators using Hyperspectral Reflectance

Peng

Zhu

Xiong

et al. 2020

J Indian Soc Remote Sens

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Effect of Fractional Differential Algorithm on Hyperspectral Data of Saline Soil

Cited by 2 publications

References 0 publications

Geographically Weighted Regression Effects on Soil Zinc Content Hyperspectral Modeling by Applying the Fractional-Order Differential

Geographically Weighted Regression Effects on Soil Zinc Content Hyperspectral Modeling by Applying the Fractional-Order Differential

Estimation of Nitrogen Content on Apple Tree Canopy through Red-Edge Parameters from Fractional-Order Differential Operators using Hyperspectral Reflectance

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