Articles | Volume 12, issue 6
https://doi.org/10.5194/amt-12-3383-2019
https://doi.org/10.5194/amt-12-3383-2019
Research article
 | 
27 Jun 2019
Research article |  | 27 Jun 2019

Flexible approach for quantifying average long-term changes and seasonal cycles of tropospheric trace species

David D. Parrish, Richard G. Derwent, Simon O'Doherty, and Peter G. Simmonds

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Latest update: 26 May 2024
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Short summary
We present a flexible method that employs a power series expansion and Fourier series analysis to characterize the average long-term change and seasonal cycle, respectively, from a time series of observations of a trace atmospheric species. This approach maximizes the statistically significant information derived, including non-linear aspects of the long-term trends, without over fitting the data. Generally, a small set of parameter values (e.g., 7 or 8) provides this characterization.