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Mathematical models for the variation of air-pollutant concentrations

Published online by Cambridge University Press:  01 July 2016

Jan Grandell
Jan Grandell*
Affiliation:
The Royal Institute of Technology
*
∗Postal address: Department of Mathematics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden.
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Abstract

The purpose of this paper is to study simple mathematical models for the variation of the concentration of atmospheric pollutants. The particles are assumed to be emitted into the atmosphere with constant intensity and removed from the atmosphere with an intensity proportional to the precipitation intensity. The precipitation intensity is assumed to be a stationary stochastic process with no spatial variation. The mean, variance and covariance function of the concentration are calculated for some precipitation models. Under certain general assumptions it is shown that the concentration of ‘long-lived' particles is approximately described by an Ornstein–Uhlenbeck process. Finally, the different models are compared by means of Swedish precipitation data.

Keywords

PRECIPITATION SCAVENGINGCONCENTRATION OF ATMOSPHERIC POLLUTANTS
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 2 , June 1982 , pp. 240 - 256
Copyright
Copyright © Applied Probability Trust 1982 

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