Modelling nutrient deposition from intensive agricultural practices

This is the first stage of a project to produce a dynamic modelling framework of catchment nutrient deposition from intensive agricultural practices. The particular nutrient of interest here is nitrogen (N), which is introduced into the environment via the excrement of livestock. This first step focuses on modelling nutrient amounts at a field level, as these are released into the environment. A system of stochastic differential equations is formulated to describe the behaviour of the system of both single and overlapping urine patches, over time. This system is solved using classical mathematical methods, giving the probability density functions (PDF), means and covariances of the system variables.(c) 2021 Elsevier Inc. All rights reserved.

Automated summary

This is the first stage of a project to develop a dynamic modelling framework for catchment nutrient deposition from intensive agricultural practices. The focus is on nitrogen (N) as the specific nutrient of interest, introduced into the environment through livestock excrement. The first step involves modelling nutrient amounts at a field level and employing stochastic differential equations to describe the behavior of single and overlapping urine patches over time. Classical mathematical methods are used to solve the system, providing probability density functions, means, and covariances of the system variables.