Abstract
A new stochastic model for one-dimensional root-water uptake is developed with main emphasis on its probabilistic structure from random variations in saturated hydraulic conductivity. The resulting model has the form of a two-dimensional Fokker-Planck equation, and its applicability as a model for the probabilistic evolution of the nonlinear stochastic root-water uptake process is explored with the saturated hydraulic conductivity taken as stochastic random field. In order to perform this exploration, the generalization of a one-dimensional numerical scheme for the numerical solution of a two-dimensional Fokker-Planck equation is attempted. The proposed model has the advantage of providing a probabilistic solution to soil-water flow under root-water uptake, from which one can obtain the ensemble average behavior of the soil-water system at the scale of a heterogeneous field soil.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
