Trend and seasonal cycles exist a lot in atmospheric data.

Strong time series trend is for example like full Mauna Loa CO2 http://www.esrl.noaa.gov/gmd/ccgg/trends/.

Strong seasonal cycle like 2 meter temperature or precipitation.

Dear Ahmed,

Maybe this paper can be useful for you:

http://journals.ametsoc.org/doi/abs/10.1175/JTECH-D-12-00009.1

"A Methodology for the Characterization of Periodicities in Nonsteady Time Series: Application to Tropospheric Ozone Recharging Cycles in the Western Mediterranean Basin"

Mmmm,

Dear Kenneth,

Thank you very much for your interest but due to publisher copyright policies I cannot upload a copy here....

Nevertheless, if you send me your e-mail address ( [email protected] ) I'll be very happy to send you a copy in private.

Thanks a lot for the paper, I am reading it.