TY - JOUR
TI - Fractional prediction of ground temperature based on soil field spectrum
AU - Tian An-Hong
AU - Xiong Hei-Gang
AU - Fu Cheng-Biao
AU - Li Zheng-Biao
AU - Yu Long
JN - Thermal Science
PY - 2020
VL - 24
IS - 4
SP - 2301
EP - 2309
PT - Article
AB - 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.