Open AccessFractional prediction of ground temperature based on soil field spectrum
Author(s) -
Anmin Tian,
Hui Xiong,
Chengbiao Fu,
Zheng-Biao Li,
Liping Yu
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2004301t
Subject(s) - wavelength , field (mathematics) , soil science , spectrum (functional analysis) , environmental science , physics , mathematics , optics , quantum mechanics , pure mathematics
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.