TY - JOUR
TI - Land surface temperature vs. Soil spectral reflectance fractional approach and fractional differential algorithm
AU - Tian An-Hong
AU - Zhao Jun-San
AU - Li Zheng-Biao
AU - Xiong Hei-Gang
AU - Fu Cheng-Biao
JN - Thermal Science
PY - 2019
VL - 23
IS - 4
SP - 2389
EP - 2395
PT - Article
AB - Land surface temperature plays an important role in studying the radiation  and energy exchanges between Earth's surface and atmosphere. There is little  literature on the relationship between the land surface temperature and the  soil spectral reflectance. This paper adopts the Grunwald-Letnikov  fractional differential algorithm to reveal their relationship. The  simulation results elucidate that a higher land surface temperature will  result in a higher spectral reflectance. The variation characteristics of  spectral reflectance curves with different land surface temperatures have  basically a same trend. Fractional differential order is a good index for  spectral change during the derivation process. An optimal fractional order  is 6/5, which corresponds to the band of 1710 nm. As the increase of the  fractional order, the number of bands increases, but when it reaches a  threshold, an opposite trend is found. This study provides a new perspective  for adequately excavating spectral data information, and it also can be used  as a reference for precision agriculture.