Modeling carbon nutrition and photosynthesis taking into account plant stomatal resistance

Abstract

A differential-algebraic system of equations of carbon dioxide transport and photosynthesis in vegetation is formulated for mathematical analysis of the influence on productivity and water regime of plant populations. A simple semi-empirical algebraic approximation of the true photosynthesis function is constructed for the quasi-stationary solution of the system, including the influence of stomatal regulation, leaf index, absorbed photosynthetically active radiation, and temperature.