Analysis of Ozone Concentrations Using Probability Distributions

ABSTRACT

This present study aims to evaluate the stratospheric ozone that was continuously measured during 2016 over Campo Grande, the capital of South Mato Grosso state, Brazil. To determine the best-adjusted distribution describing the ozone (O₃) co-generation data in Campo Grande, 15 functions were used while modeling the numerical results. Five sets of data were used: the entire year, spring (September to December), summer (December to March, high solar radiation data), autumn (March to June), and winter (June to September, low solar radiation data) to study the seasonal variation in the statistical behavior of the probability distribution functions. The distribution performances are evaluated using three tests of quality, namely Kolmogorov–Smirnov (K-S), Anderson–Darling (A-D), and Chi-square tests. Finally, all the results of the fitted quality tests have been compared. It has been observed that the generalized extreme value distribution provides a good fit all along the year, while for specific seasons the best distributions vary. The best distributions, according to the seasons, are Gamma 3P for the winter, lognormal 3P for spring, Weibull for summer and Gamma 3P for autumn, respectively. There was a coincidence in the probability distribution function adjustment in winter and autumn, period with lower O₃ concentrations, kurtosis, and skewness. In the summer and spring, it was observed higher concentrations of O₃, kurtosis, and asymmetry and different probability distribution functions.

KEYWORDS:

• Ozone
• Atmospheric Ozone
• Probability Distribution
• Fit Quality Tests

Acknowledgments

The authors would like to thank their Universities for support.

Conflicts of interest

The authors declare no conflict of interest.

Database statement/Availability of data

The meteorological database is public domain and available at Center for Monitoring Weather, Climate, and Water Resources of South Mato Grosso (CEMTEC/MS), an agency linked to the State Secretariat of Environment, Economic Development, Production, and Family Agriculture (Semagro).

http://www.cemtec.ms.gov.br/laudos-meteorologicos/

The ozone pollutant database belongs to the Institute of Physics of the Federal University of South Mato Grosso and may be requested to Prof. Dr. Amaury de Souza via e-mail: [email protected]

Additional information

Funding

Flavio Aristone is thankful to CNPq for financial support. This research did not receive external funding.