Articles | Volume 12, issue 2
Earth Syst. Dynam., 12, 469–487, 2021
https://doi.org/10.5194/esd-12-469-2021
Earth Syst. Dynam., 12, 469–487, 2021
https://doi.org/10.5194/esd-12-469-2021

Research article 04 May 2021

Research article | 04 May 2021

The half-order energy balance equation – Part 1: The homogeneous HEBE and long memories

Shaun Lovejoy

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Cited articles

Atanackovic, M., Pilipovic, S., Stankovic, B., and Zorica, D.: Fractional Calculus with applications in mechanics: variations and diffusion processes, Wiley, London, UK, 313 pp., 2014. 
Babenko, Y. I.: Heat and Mass Transfer, Khimiya, Leningrad, 1986 (in Russian). 
Baleanu, D., Diethelm, K., Scalas, E., and Trujillo, J. J.: Fractional Calculus: Models and Numerical Methods,, World Scientific, Singapore, 400 pp., 2012. 
Blender, R. and Fraedrich, K.: Long time memory in global warming simulations, Geophys. Res. Lett., 30, 1769–1773, 2003. 
Brunt, D.: Notes on radiation in the atmosphere, Q. J. Roy. Meterol. Soc., 58, 389–420, 1932. 
Short summary
Monthly scale, seasonal-scale, and decadal-scale modeling of the atmosphere is possible using the principle of energy balance. Yet the scope of classical approaches is limited because they do not adequately deal with energy storage in the Earth system. We show that the introduction of a vertical coordinate implies that the storage has a huge memory. This memory can be used for macroweather (long-range) forecasts and climate projections.
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