THERMAL SCIENCE

International Scientific Journal

An-Hong TianORCID

,

Hei-Gang XiongORCID

,

Cheng-Biao FuORCID

,

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 No. 4, PAGES [2301 - 2309]
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Fractional prediction of ground temperature based on soil field spectrum

© 2026 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