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Environmental problems, uncertainty, and mathematical modeling

By John W Boland, Jerzy A Filar and Phil G Howlett


In this paper we discuss three rather special characteristics shared by many\ud environmental problems. Namely, that (i) the environmental variables in which we are\ud most interested constitute a stochastic process; (ii) the long-term or limiting behavior\ud and the short-term or transient behavior are often both important; and (iii) the\ud underlying probability distributions are likely to be influenced by the environmental\ud policies or remedies that we choose to impose. This third characteristic implies\ud the need to understand the impact of technologies and controls that influence\ud the dynamics of the system. The control theoretic perspective of environmental\ud engineering problems has, we believe, received less attention than it deserves in\ud the literature. Consequently, after a brief discussion of the exogenous, control-independent\ud case we focus on illustrating some special challenges and opportunities\ud embedded in the control-dependent situations

Topics: Mathematics, Stochastic modelling, Environmental problems
Publisher: American Mathematical Society
Year: 2010
OAI identifier:

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