THERMAL SCIENCE

International Scientific Journal

An-Hong Tian

,

Jun-San Zhao

,

Zheng-Biao Li

,

Hei-Gang Xiong

,

Cheng-Biao Fu

LAND SURFACE TEMPERATURE VS. SOIL SPECTRAL REFLECTANCE FRACTIONAL APPROACH AND FRACTIONAL DIFFERENTIAL ALGORITHM

ABSTRACT
Land surface temperature plays an important role in studying the radiation and energy exchanges between Earth's surface and atmosphere. There is little literature on the relationship between the land surface temperature and the soil spectral reflectance. This paper adopts the Grunwald-Letnikov fractional differential algorithm to reveal their relationship. The simulation results elucidate that a higher land surface temperature will result in a higher spectral reflectance. The variation characteristics of spectral reflectance curves with different land surface temperatures have basically a same trend. Fractional differential order is a good index for spectral change during the derivation process. An optimal fractional order is 6/5, which corresponds to the band of 1710 nm. As the increase of the fractional order, the number of bands increases, but when it reaches a threshold, an opposite trend is found. This study provides a new perspective for adequately excavating spectral data information, and it also can be used as a reference for precision agriculture.
KEYWORDS
soil, land surface temperature, spectrum, Fractional differential
PAPER SUBMITTED: 2018-04-12
PAPER REVISED: 2018-11-26
PAPER ACCEPTED: 2018-11-27
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904389T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2389 - 2395]
REFERENCES
  1. Ding, J. L., et al., Monitoring and Evaluating Spatial Variability of Soil Salinity in Dry and Wet Seasons in the Werigan-Kuqa Oasis, China, Using Remote Sensing and Electromagnetic Induction Instruments, Geoderma, 235-236 (2014), Dec., pp. 316-322
  2. Sarathjith, M. C., et al., Comparison of Data Mining Approaches for Estimating Soil Nutrient Contents Using Diffuse Reflectance Spectroscopy, Current Science, 110 (2016), 6, pp. 1031-1037
  3. Lei, L., et al., Study on the Soil Salinization Monitoring Based on Measured Hyperspectral and HSI Da-ta, Spectroscopy and Spectral Analysis, 34 (2014), 4, pp. 1948-1953
  4. Mashimbye, Z. E., et al., Model-Based Integrated Methods for Quantitative Estimation of Soil Salinity from Hyperspectral Remote Sensing Data: A Case Study of Selected South African Soils, Pedosphere, 22 (2012), 5, pp. 640-649
  5. Zhang, D., et al., Application of Fractional Differential in Preprocessing Hyperspectral Data of Saline Soil, Transactions of the Chinese Society of Agricultural Engineering, 30 (2014), 24, pp. 151-160
  6. He, J.-H., Fractal Calculus and its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
  7. Wang, Y, An, J. Y., Amplitude-Frequency Relationship to a Fractional Duffing Oscillator Arising in Mi-crophysics and Tsunami Motion, Journal of Low Frequency Noise, Vibration & Active Control, On-line first, doi.org/10.1177/1461348418795813, 2018
  8. Wang, Y., Deng, Q., Fractal Derivative Model for Tsunami Travelling, Fractals, 27 (2019), ID 1950017
  9. Li, X. X., et al., A Fractal Modification of the Surface Coverage Model for an Electrochemical Arsenic Sensor, Electrochimica Acta, 296 (2019), Feb., pp. 491-493
  10. Baderia, K., et al., Hybrid Method for Designing Digital FIR Filters Based on Fractional Derivative Constraints, ISA Transactions, 58 (2015), Sept., pp. 493-508
  11. Abbas, W., et al., Hall Current and Joule Heating Effects on Free Convection Flow of a Nanofluid Over a Vertical Cone in Presence of Thermal Radiation, Thermal Science, 21 (2017), 6, pp. 2609-2620
  12. Astanina, M. S., et al., Effect of Thermal Radiation on Natural Convection in a Square Porous Cavity Filled with a Fluid of Temperature-Dependent Viscosity, Thermal Science, 22 (2018), 1, pp. 391-399
  13. Zhang, J. H., et al., The Progress in Retrieving Land Surface Temperature Based on Thermal Infrared and Microwave Remote Sensing Technologies, Spectroscopy and Spectral Analysis, 29 (2009), 8, pp. 2103-2107
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Land surface temperature vs. Soil spectral reflectance fractional approach and fractional differential algorithm

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