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The evolution of unidirectional nonlinear sea surface waves is calculatednumerically by means of solutions of the Euler equations. The wave dynamicscorresponds to quasi-equilibrium states characterized by JONSWAP spectra. Thespatio-temporal data are collected and processed providing information aboutthe wave height probability and typical appearance of abnormally high waves(rogue waves). The waves are considered at different water depths ranging fromdeep to relatively shallow cases ($k_p h > 0.8$, where $k_p$ is the peakwavenumber, and $h$ is the local depth). The asymmetry between front and rearrogue wave slopes is identified; it becomes apparent for sufficiently highwaves in rough sea states at all considered depths. The lifetimes of rogueevents may reach up to 30-60 wave periods depending on the water depth. Themaximum observed wave has height of about 3 significant wave heights. A fewrandomly chosen in-situ time series from the Baltic Sea are in agreement withthe general picture of the numerical simulations.

Rogue events in spatio-temporal numerical simulations of unidirectional waves in basins of different depth