Mathematical modeling of soil property based on few parameters

Abstract

A Soil plant relationship has been defined by many authors. The plant soil feed backs is very important in studying the vegetation dynamics. There has been a biological, chemical and physical changes results interdependency. This article deals the mathematical modeling of the relation between the soil and the root of the plant. The properties of soil and the impact of soil with respect to the fertilizers, irrigation type that is adapted to the plant, changes in the environment and other issues related to the above are discussed in this article. We also discuss the need for a considerable amount of effort on the fundamental mathematics of up scaling and homogenization methods specialized for branched networks such as roots.