Abstract
AbstractLog normal-like concentration distributions are ubiquitously observed in the environment. However, the mechanistic origins are not well understood. In this paper, we show that first order exponential kinetics onsets log-normal concentration distributions, under certain assumptions. Given the ubiquity of exponential kinetics, e.g., source and sink processes, this model suggests an explanation for the frequent observation in the environment, and elsewhere. We compare this model to other mechanisms affecting concentration distributions, e.g., source mixing. Finally, we discuss possible implications for data analysis and modelling, e.g., log-normal rates and fluxes.
Funder
Vetenskapsrådet
Svenska Forskningsrådet Formas
Stockholm University
Publisher
Springer Science and Business Media LLC
Reference59 articles.
1. Gaddum, J. H. Lognormal distributions. Nature 156, 463–466 (1945).
2. Ahrens, L. H. The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary). Geochim. Cosmochim. Acta. 5, 49–73 (1954).
3. Crow, E. L. & Shimiziu, K. Lognormal distributions: Theory and Applications. ISBN: 0367580276. (CRC Press, 1988).
4. Limpert, E., Stahel, W. A. & Abbt, M. Log-normal distributions across the sciences: Keys and clues. Bioscience 51, 341–352 (2001).
5. Black, F. & Scholes, M. The pricing of options and corporate liabilities. J. Polit. Econ. 81, 637–645 (1973).
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