Title: Linear-fractional model for global warming

Authors: Nizar Jaoua

Addresses: Department of Mathematics and Natural Sciences, College of Arts and Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Alkhobar 31952, KSA

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.

Keywords: atmospheric carbon dioxide; CO₂; atmospheric emissivity; equilibrium global average temperature; EGAT; global warming; greenhouse function; linear-fractional model.

DOI: 10.1504/IJGW.2018.092896

International Journal of Global Warming, 2018 Vol.15 No.2, pp.212 - 226

Received: 25 Feb 2017
Accepted: 11 May 2017
Published online: 02 Jul 2018 *

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