Fractional prediction of ground temperature based on soil field spectrum
2020
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.
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