A study on the 'runaway greenhouse effect' with a one-dimensional radiative-convective equilibrium model

Computer Science

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Atmospheric Models, Atmospheric Radiation, Greenhouse Effect, Adiabatic Conditions, Asymptotic Properties, Atmospheric Attenuation, Infrared Absorption, Infrared Radiation, Optical Thickness

Scientific paper

A simple one-dimensional radiative-convective equilibrium model is used to investigate the relationship between the surface temperature and the outgoing infrared radiation at the top of the atmosphere. An upper limit of the outgoing infrared radiation is found to exist. The existence of the upper limit is characterized by the radiation limits that appear when the optical depth of the entire atmosphere becomes sufficiently deep and the temperature structure around the levels where the optical depth is about unity approaches a fixed profile. As one of those radiation limits, the outgoing infrared radiation has an asymptotic limit as the surface temperature increases. This is caused by the tropospheric structure approaching the water vapor saturation curve. It is considered that the asymptotic limits appearing in the radiatively and thermodynamically more complicated models utilized by Abe and Matsui (1988) and Kasting (1988) are corresponding to this asymptotic limit indicated in our model.

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