Evolution of the OLR as a function of the mean surface temperature from temperate stable states to post-runaway stable states. For blue curves, the simulation setup is the waterworld, 1 bar of nitrogen without CO₂ (W1). The red curve is taken from Turbet et al. (2021) assuming 10 bar of water vapor, 1 bar of nitrogen and no CO₂. The insolation of the evaporation phase and the dry transition is equal to 400 W m⁻². The vertical grey lines are the temperatures for which 1 bar and 1.5 bar of water vapor are evaporated. Stable post-runaway states from Turbet et al. (2021) assume different insolations. The OLR values are averaged over 2 years which explain the gap between the evaporation and the dry transition phases. Cyan, orange and green dotted lines are OLR curves from reference works using 1D models and assuming 273 bar of water (pure water from Goldblatt et al. 2013, Earth’s case from Kopparapu et al. 2013 and with 1 bar of N₂ from Chaverot et al. 2022, respectively).