“…The probability distribution of sea levels (
) is calculated by computing the joint probability of the resulting skew surge distribution function and the ATNodal. Thus, we assume that the skew surge is independent of the tidal cycle, which has been shown to be statistically supported at most (though not all) coastal locations in past studies (Baranes et al.,
2020; Batstone et al.,
2013; Santamaria‐Aguilar & Vafeidis,
2018; Williams et al.,
2016). The distribution function for the maximum sea level within a tidal cycle is,
where
is the sea level,
is the peak astronomical tide level at each cycle
,
is the total number of peak astronomical tide levels, and
is the cumulative distribution function of all skew surges.…”