Dynamic Modeling

Abstract

Dynamic modeling is a valuable technique used to understand different systems on a temporal basis. This approach resulted in a more practical, intuitive endeavor modeling. The main objective of this chapter is to elaborate on different modeling approaches with more emphasis on dynamic modeling. Firstly mathematical modeling was discussed and defined as the quantitative expression of the biological system from the lower hierarchy to the higher. It is a description of a system using mathematical concepts and language to facilitate the process of explanation of a system. The mathematical model can be further classified into static or dynamic, deterministic or stochastic, and continuous or discrete. A model that uses large numbers of theoretical information to predict what happens at one level by considering processes at lower levels of the system is known as mechanistic models. In this book chapter, we present a general description of modeling with a history of dynamic modeling from the eighteenth century to today. Furthermore, the application of dynamic process-based crop growth model in different fields of studies was discussed. Outcomes of the reviewed studies confirmed that process-based dynamic crop simulation models are valuable tools for the understanding of the system and giving options and solutions to the what-if questions under different sets of scenarios and managements.