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1 results

  • Mathematical models for the variation of air-pollutant concentrations

  • Jan Grandell
  • Journal:
    Advances in Applied Probability / Volume 14 / Issue 2 / June 1982
    Published online by Cambridge University Press:
    01 July 2016, pp. 240-256
    Print publication:
    June 1982

  • 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.