THERMAL SCIENCE

International Scientific Journal

An-Hong Tian

,

Hei-Gang Xiong

,

Cheng-Biao Fu

,

Zheng-Biao Li

,

Long Yu

FRACTIONAL PREDICTION OF GROUND TEMPERATURE BASED ON SOIL FIELD SPECTRUM

ABSTRACT
Ground temperature is an important physical indicator reflecting the natural ecological environment of the Earth's surface. Soil spectrum is a comprehensive reflection of soil properties, but there are few studies on the prediction of ground temperature based on soil field spectrum using fractional calculus. In this paper, the fractional derivative is used to study the correlation between soil spectrum and ground temperature from zeroth order to second order, and the characteristic wavelength bands are extracted. Simulations show that the fractional approach can amplify the difference of the soil field spectral signal. The wavelength bands for the 0.01 significance test begin with 0.6th order, while the 1.3th order sees 33 wavelength bands. Coefficients of determination of 0.7, 0.8, 0.9, 1.3, 1.4, 1.5, 1.6, and 1.7-order are all greater than 0.66, indicating that the established model of linear stepwise multiple regression gives a better prediction.
KEYWORDS
ground temperature, fractional derivate, soil field spectra signal, model evaluation criteria
PAPER SUBMITTED: 2018-12-16
PAPER REVISED: 2019-06-19
PAPER ACCEPTED: 2019-08-18
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004301T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 4, PAGES [2301 - 2309]
REFERENCES
  1. Li, Z. L., et al., Satellite-Derived Land Surface Temperature: Current Status and Perspective, Remote Sensing of Environment, 131 (2013), Apr., pp. 4-37
  2. Sun, K., et al., Genetic Algorithm Based Surface Component Temperatures Retrieval by Integrating MODIS TIR DATA from Terra and Aqua Satellites, Journal of Infrared and Millimeter Waves, 31 (2012), 5, 462-468
  3. Weng, Q. H., et al., A Sub-Pixel Analysis of Urbanization Effect on Land Surface Temperature and Its Interplay with Impervious Surface and Vegetation Coverage in Indianapolis, United States, International Journal of Applied Earth Observation and Geoinformation, 10 (2008), 1, pp. 68-83
  4. Fu, P., et al., A Time Series Analysis of Urbanization Induced Land Use and Land Cover Change and Its Impact on Land Surface Temperature with Landsat Imagery, Remote Sensing of Environment, 175 (2016), Mar., pp. 205-214
  5. Lu, D. M., et al., The Effect of Urban Expansion on Urban Surface Temperature in Shenyang, China: An Analysis with Landsat Imagery, Environmental Modeling & Assessment, 20 (2015), 3, pp. 197-210
  6. Zhong, X. K., et al., Retrieving Land Surface Temperature from Hyperspectral Thermal Infrared Data Using a Multi-Channel Method, Sensors, 16 (2016), 5, 687
  7. Zhuo, H. F., et al., Improvement of Land Surface Temperature Simulation over the Tibetan Plateau and the Associated Impact on Circulation in East Asia, Atmospheric Science Letters, 17 (2016), 2, pp. 162-168
  8. Liu, K., et al., Analysis of the Urban Heat Island Effect in Shijiazhuang, China Using Satellite and Air-borne Data, Remote Sensing, 74 ( 2015), 4, pp. 4804-4833
  9. Xia, N., et al., Influence of Fractional Differential on Correlation Coefficient between EC1:5 and Reflec-tance Spectra of Saline Soil, Journal of Spectroscopy, 2017 (2017), ID 1236329
  10. Wang, J. Z., et al., Quantitative Estimation of Soil Salinity by Means of Different Modeling Methods and Visible-Near Infrared (VIS-NIR) Spectroscopy, Ebinur Lake Wetland, Northwest China,. PEERJ, 6 (2018), e4703
  11. Wang, X. P., et al., New Methods for Improving the Remote Sensing Estimation of Soil Organic Matter Content (SOMC) in the Ebinur Lake Wetland National Nature Reserve (ELWNNR) in northwest China, Remote Sensing of Environment, 218 (2018), Dec., pp. 104-118
  12. He, J. H., A Simple Approach to One-Dimensional Convection-Diffusion Equation and Its Fractional Modification for E Reaction Arising in Rotating Disk Electrodes, Journal of Electroanalytical Chemis-try, 854 (2019), Dec., ID 113565
  13. He, J. H., Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves, J. Appl. Comput. Mech., 6 (2020), 4, pp. 735-740
  14. Wang, Q. L., et al., Fractal Calculus and Its Application to Explanation of Biomechanism of Polar Bear Hairs, Fractals, 26 (2018), 6, 1850086
  15. Wang, Q. L., et al. Fractal Calculus and Its Application to Explanation of Biomechanism of Polar Bear Hairs, (vol. 26, 1850086,2018), Fractals, 27 (2019), 5, 1992001
  16. Wang, Y., Deng, Q., Fractal Derivative Model For Tsunami Travelling, Fractals, 27 (2019), 1, 1950017
  17. He, J. H., A Tutorial Review on Fractal Space Time and Fractional Calculus, Int. Journal Theor. Phys., 53 (2014), 11, pp. 3698-3718
  18. Wang, K. L., Wang, K. J., A Modification of the Reduced Differential Transform Method for Fractional Calculus, Thermal Science, 22 (2018), 4, pp. 1871-1875
  19. He, J. H., Ji, F. Y., Two-Scale Mathematics and Fractional Calculus for Thermodynamics, Thermal Sci-ence, 23 (2019), 4, pp. 2131-2133
  20. Ain, Q. T., He, J. H., On Two-Scale Dimension and Its Applications, Thermal Science, 23 (2019), 3B, pp. 1707-1712
  21. Wang, Y., et al. A Variational Formulation for Anisotropic Wave Traveling in a Porous medium, Frac-tals, 27 (2019), Jun, 1950047
  22. Wang, K. L., He, C. H., A Remark on Wang's Fractal Variational Principle, Fractals, 27 (2019), 8, ID 1950134
  23. Fan, J., et al., Fractal Calculus for Analysis of Wool Fiber: Mathematical Insight of Its Biomechanism, Journal of Engineered fibers and Fabrics, 14 (2019), 1-4, pp. 1-4
  24. Zhang, J. J., et al. Some Analytical Methods for Singular Boundary Value Problem in a Fractal Space, Appl. Comput. Math., 18 (2019), 3, pp. 225-235
  25. Liu, F. J., et al., A Delayed Fractional Model for Cocoon Heat-Proof Property, Thermal Science, 21 (2017), 4, pp. 1867-1871
  26. Liu, H.Y., et al., Fractional Calculus for Nanoscale Flow and Heat Transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014), 6, pp. 1227-1250
  27. Li, Y., He, C. H., A Short Remark on Kalaawy's Variational Principle for Plasma, International Journal of Numerical Methods for Heat & Fluid Flow, 27 (2017), 10, pp. 2203-2206
  28. He, J. H., A Modified Li-He's Variational Principle for Plasma, International Journal of Numerical Methods for Heat and Fluid Flow, On-line first, doi.org/10.1108/HFF-06-2019-0523, 2019
  29. He, J. H., Lagrange Crisis and Generalized Variational Principle for 3D Unsteady Flow, International Journal of Numerical Methods for Heat and Fluid Flow, On-line first, doi.org/10.1108/HFF-07-2019-0577, 2019
  30. He, J. H., Sun, C., A Variational Principle for a Thin Film Equation, Journal of Mathematical Chemis-try, 57 (2019), 9, pp. 2075-2081
PDF VERSION [DOWNLOAD]
Fractional prediction of ground temperature based on soil field spectrum

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence