A probability model is developed for time series of wave heights in the ran
ge of their synoptic-scale variability with its annual rhythmicity taken in
to account. For the identification and verification of this model, long-ter
m series of waves in the Baltic, Barents, Black, and Mediterranean seas are
used. These series are obtained by numerically integrating the equations o
f wave-energy balance over a specified sequence of the surface-wind velocit
y fields calculated from the atmospheric-pressure fields in synoptic hours.