The Rate of Carbohydrates Accumulation in the Root of Plant by the Effect of Carbohydrates Translocation According to the Underground Temperature Gradient

Abstract

The suppositions are made as follows. (1) The diurnal translocation of carbohydrates in the root of plant corresponds to the diurnal change of the concentration of carbohydrates in the leaves and stems. (2) There is an effect of the translocation of carbohydrates according to the temperature gradient along the root. (3) The molar fraction of carbohydrates in the solution in the root maintains equilibrium at a constant value, and the surplus over the equilibrium value in the portion becomes nonsoluble and takes a turn into tissue.The temperature gradient along the vertical root under the ground surface can be calculated in conformity with the theoretical equation of the underground temperature. And the diurnal change of the carbohydrates concentration in the leaves can be represented by a cosine curve experimentally.Basing upon those suppositions and equations, the following formula on the carbohydrates accumulation rate MZ in the root at the depth Z under the ground surface was induced mathematically:MZ=CAap2e-pZsin(pZ), where C is a proportional constant, A is the diurnal amplitude of the temperature at the ground surface, a is the diurnal amplitude of the carbohydrates concentration in the solution in the root, and p is the logarithmic lapse rate of the diurnal amplitude of the underground temperature along the depth.