Fixed anvil temperature hypothesis
Fixed anvil temperature hypothesis is a physical hypothesis that describes the response of cloud radiative properties to rising surface temperatures. It presumes that the temperature at which radiation is emitted by anvil clouds is constrained by radiative processes and thus does not change in response to surface warming. Since the amount of radiation emitted by clouds is a function of their temperature, it implies that it does not increase with surface warming and thus a warmer surface does not increase radiation emissions by cloud tops. The mechanism has been identified both in climate models and observations of cloud behaviour, it affects how much the world heats up for each extra tonne of greenhouse gas in the atmosphere. However, some evidence suggests that it may be more correctly formulated as decreased anvil warming rather than no anvil warming.
Background and hypothesis
In the tropics, the radiative cooling of the troposphere is balanced by the release of latent heat through condensation of water vapour lofted to high altitudes by convection. The radiative cooling is mostly a consequence of emissions by water vapour and thus becomes ineffective above the 200 hPa pressure level. Congruently, it is at this elevation that thick clouds and anvil clouds – the topmost convective clouds – concentrate.The "fixed anvil temperature hypothesis" stipulates that owing to energetic and thermodynamic constraints imposed by the Clausius-Clapeyron relationship, the temperature and thus radiative cooling of anvil clouds does not change much with surface temperature. Specifically, cooling decreases below as the ineffective radiative cooling by becomes dominant below that temperature. Instead, the elevation of high clouds rises with surface temperatures.
A related hypothesis is that tropopause temperatures are insensitive to surface warming; however it appears to have distinct mechanisms from the fixed anvil temperature process. They have been related to each other in several studies, which sometimes find a fixed tropopause temperature a more reasonable theory than fixed anvil temperature.
Evidence
The fixed anvil temperature hypothesis has been widely accepted and even extended to the non-tropical atmosphere. Its strength relies in part on its reliance on simple physical arguments.Models
The fixed anvil temperature hypothesis was initially formulated by Hartmann and Larson 2002 in the context of the NCAR/PSU MM5 climate model but the stability of top cloud temperatures was already observed in a one-dimensional model by Hansen et al. 1981. It has also been recovered, with limitations, in climate models and in numerous general circulation models. However, some have recovered a dependence on cloud size and on relative humidity or that the fixed anvil temperature is more properly expressed as anvil temperature changing more slowly than surface temperature. Climate models also simulate an increase in cloud top height and some radiative-convective models apply it to the outflow of tropical cyclones.The fixed anvil temperature hypothesis has also been obtained in simulations of exoplanet climates. At very high concentrations approaching a runaway greenhouse however, other physical effects pertaining to cloud opacity may take over and dominate the fixed anvil temperature as surface temperatures reach extreme levels.