In the paper i.e., a refined four-stream radiative transfer model for row planted crops, the equations of the results are shown, namely the DRF-related equations. In order to further illustrate our research work, this material provides detailed mathematical physical ideas about the derivation and solution for the modified the four-stream (MFS) radiative transfer equations. The material includes: A) Nomenclature table; B) Derivation of horizontal radiative transfer equation for row crops; C) Area fractions of each component in row crops; D) Solving of the DRFs on the boundary of the canopy closure; E) Solving of the DRF of between-row based on integral raditive transfer equation.