The occurrence of rogue waves in deep sea waters, and their breaking, is examined with the aid of a pdf model
of joint amplitudes and frequencies. New wave breaking considerations allow kinematic, dynamic and maximum average
slope concepts to be unified in a single breaking criterion, which allows a more accurate determination of the limiting amplitudes
that rogue waves can reach, including the influence of non-linearity of the wave field and the premature wave
breaking concept. The probability of rogue wave occurrence does not significantly depend on the sea spectrum bandwidth.
The breaking probability of rogue waves increases with the inverse wave age, but its dependence on the latter parameter
weakens, as the limiting crest height criterion is stiffened. The right variation of sea surface kurtosis, and of the Benjamin
Feir Index, with the (inverse) wave age and their lower than unity values reconfirms their relation to the rogue wave occurrence.