Abstract

The notion of a system and of system analysis may have different connotations to different people. Thus, this chapter defines these concepts objectively, as they relate to agricultural research in the book. The first step for defining the mathematical model and analyses of a deterministic system is arranging the data as a difference table. The difference table is used to determine the differential or difference equations representing the system. The solutions of the differential or difference equations are the state trajectories, and parameters in these equations are evaluated by “t” tests. The first step for defining the mathematical model of a stochastic system is condensing the data in a state probability table, from which the next state equations of the system are determined. The next step is defining the corresponding deterministic solutions of the next state equations. The final step for defining the mathematical model of a stochastic system is applying a distribution function to the deterministic expressions.

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