stockpollutantnotes07

stockpollutantnotes07 - Notes on Stock Pollutants...

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Unformatted text preview: Notes on Stock Pollutants (following Conrad chapter 6) May 15, 2007 0.1 Introduction A stock pollutant is an unwanted byproduct of production or consumption that accumulates through time. In contrast, a “flow pollutant” does not accumulate. A common way model a stock pollutant is with the equation of motion: Z t +1 = Z t- γZ t + αq t (1) where Z is the stock of pollution (measured, say, in ppm), q is the product that is produced or consumed (measured in, say, tons or barrels, or cubic feet), γ gives the fraction of the pollutant that is degraded per unit time, and α converts the production units (barrels) into units of the pollutant (ppm) (e.g α may have units ppm/barrel). 0.2 Special Cases 1. γ = 0. In this case, the pollutant doesn’t degrade at all (e.g. nuclear waste?) 2. q t = 0. In this case, even though there is no production of the offending substance, the effects of the stock of pollution may still be around for a long time. This is critical in the analysis....
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This note was uploaded on 08/06/2008 for the course ESM 242 taught by Professor Costello during the Spring '07 term at UCSB.

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stockpollutantnotes07 - Notes on Stock Pollutants...

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