Sea Level
Governing equation for sea level
The committed sea-level rise (CSL; dimensions of m) is the sea-level anomaly relative to preindustrial to which the ocean would equilibrate if the global-mean temperature anomaly were held constant. The CSL is approximated as linear in global-mean temperature with a default slope of 6 m/K. The sea level anomaly (SL; dimensions of m) is the sea-level relative to preindustrial. The evolution of SL is approximated as a relaxation towards CSL with a timescale \(\tau\)SL,
$$
\frac{d\mathrm{SL}}{dt} = \min\Big[ \mathrm{SL}_{\mathrm{max}}, (\mathrm{CSL} - \mathrm{SL})/\tau_{\mathrm{SL}} \Big] \, ,
$$
where SLmax is the maximum sea-level anomaly. The default values of \(\tau\)SL and SLmax are 2000 yr and 60 m, respectively.