In most Oceanic General Circulation Model's (ogcm) obp is calculated prognostically, so it's basically just the sum of the sea-surface height $\zeta$.
Recent studies show an increase in $\zeta$ for regions with continental shelf within a reasonable timespan, so I was wondering how much of the arctic sea is above continental shelf? I know it is probably a lot, but are there any numbers, units of $\text{km}^{2}$?