Analysis of extreme waves with seasonal variation in the gulf of Mexico using a time-dependent GEV model

• A statistical model to estimate the extreme significant wave height was considered.
• The model incorporates the monthly seasonality of maximum values of recorded events.
• The extreme value distribution parameters are fitted considering the seasonal behavior.
• Harmonic functions represent annual and semiannual cycle's seasonal behavior.
• The model is applied to data recorded in 10 buoys in the Gulf of Mexico.

This paper considers a time-dependent GEV model to assess the extreme value of significant wave. The model incorporates the monthly seasonality of maximum values in a block of time of recorded events. The extreme value distribution parameters are fitted considering the seasonal behavior of the significant wave height using harmonic functions representing annual and semiannual cycles. The model is applied to the records in 10 buoys in the Gulf of Mexico. The obtained results are compared with some of the available results in the literature.