Erratum to: Ocean Dynamics

DOI 10.1007/s10236-014-0802-x

The original version of this article unfortunately contained a mistake. Equations 2 and 3 were incorrect. The corrected equations are given below.

$$ \frac{dS^{\prime }}{dt}=\frac{1}{hA}\left[\begin{array}{c}\hfill {\displaystyle {\iint}_{\begin{array}{c}\hfill lateral\hfill \\ {}\hfill boundaries\hfill \end{array}}\left[\overline{u_{normal}}\left({S}_{boundary}-S\right)^{\prime }+{u}_{normal}^{\prime}\overline{S_{boundary}-S}\right]ds}\hfill \\ {}\hfill +{\displaystyle {\iint}_{\begin{array}{c}\hfill ocean\hfill \\ {}\hfill surface\hfill \end{array}}\left[\left(E^{\prime }-P^{\prime }-R^{\prime}\right)\overline{S}+\overline{\left(E-P-R\right)}S^{\prime}\right]ds}\hfill \end{array}\right] $$
(2)
$$ \frac{dS^{\prime }}{dt}=\frac{1}{hA}\left[{\displaystyle {\iint}_{\begin{array}{c}\hfill west\; and\; south\hfill \\ {}\hfill boundaries\hfill \end{array}}{u}_{{}_{normal}}^{\prime}\overline{\left({S}_{boundary}-S\right)}ds}+{\displaystyle {\iint}_{\begin{array}{c}\hfill ocean\hfill \\ {}\hfill surface\hfill \end{array}}\left(E^{\prime }-P^{\prime }-R^{\prime}\right)S\kern0.5em ds}\right] $$
(3)