Linear-fractional model for global warming

Abstract

A unique linear-fractional model is designed to describe the global warming in terms of the ratio of atmospheric carbon dioxide (CO2) concentration to the pre-industrial level. As an application, doubled CO2 concentration is expected to raise surface temperatures by about 2°C in average (above pre-industrial records). Prior to that, an algebraic greenhouse function is provided to correlate the global average temperature to the atmospheric emissivity, for which a parameterised collection of linear-fractional models involving CO2 ratio is proposed using a practical characterisation of such models.