This paper describes and explains the differences between two different approaches toward stochastic water quality modeling. Two groups of models, namely, models based on differential equations with coefficients being either random variables (random variable models) or stochastic processes (stochastic process models), are analyzed. The reasoning behind these two approaches is discussed and a numerical example illustrating the possible consequences in estimating stochastic characteristics of the solution process using either of these two approaches is presented and discussed.
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