# Stochastic Models of Air Pollutant Concentration

• Jan Grandell
Book

Part of the Lecture Notes in Statistics book series (LNS, volume 30)

1. Front Matter
Pages i-v
2. Jan Grandell
Pages 1-3
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Pages 4-9
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Pages 10-16
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Pages 17-22
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Pages 23-33
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15. Back Matter
Pages 105-110

### Introduction

About fifteen years ago Henning Rodhe and I disscussed the calculation of residence times, or lifetimes, of certain air pollutants for the first time. He was interested in pollutants which were mainly removed from the atmosphere by precipitation scavenging. His idea was to base the calculation on statistical models for the variation of the precipitation i~tensity and not only on the average precipitation intensity. In order to illustrate the importance of taking the variation into account we considered a simple model - here called the Markov model - for the precipitation intensity and computed the distribution of the residence time of an aerosol particle. Our expression for the average residence time - here formula (13- was rather much used by meteorologists. Certainly we were pleased, but while our ambition had been to provide an illustration, our work was merely understood as a proposal for a realistic model. Therefore we found it natural to search for more general models. The mathematical problems involved were the origin of my interest in this field. A brief outline of the background, purpose and content of this paper is given in section 1. It is a pleasure to thank Gunnar Englund, Georg Lindgren, Henning Rodhe and Michael Stein for their substantial help in the pre­ paration of this paper and Iren Patricius for her assistance in typing.

### Keywords

Air Markov model Variance Variation atmosphere

#### Authors and affiliations

• Jan Grandell
• 1
1. 1.Department of MathematicsThe Royal Institute of TechnologyStockholmSweden

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-1094-8
• Copyright Information Springer-Verlag Berlin Heidelberg 1985
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-0-387-96197-2
• Online ISBN 978-1-4612-1094-8
• Series Print ISSN 0930-0325
• Buy this book on publisher's site
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