Thermosteric sea level change (source code)

= Thermosteric sea level change
{title2=$\Delta\eta_{\rm thermal}=\int\alpha\Delta T\,dz$}

Thermosteric sea level change is the <thermal expansion> part of <steric sea level change>. For a uniform layer of depth $H$, <conservation of mass> gives $\rho H=(\rho+\Delta\rho)(H+\Delta\eta)$, hence $\Delta\eta\simeq-H\Delta\rho/\rho=H\alpha\Delta T$.