Abstract
The primary indicators of water quality in streams are the biochemical oxygen demand (BOD) and dissolved oxygen (DO). At each distance t downstream from a source of (organic) pollution, the BOD and DO must be considered as random variables due to the nondeterministic nature of environmental conditions. This paper surveys stochastic models for the prediction of BOD and DO at downstream points from the pollution source. Particular emphasis is on recently developed random differential equation approaches to the problem, which allow the computation of the probability distribution of BOD and DO at each t under various assumptions on random initial conditions and random rate constants.
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