Articles | Volume 12, issue 2
Earth Syst. Dynam., 12, 489–511, 2021
https://doi.org/10.5194/esd-12-489-2021
Earth Syst. Dynam., 12, 489–511, 2021
https://doi.org/10.5194/esd-12-489-2021

Research article 04 May 2021

Research article | 04 May 2021

The half-order energy balance equation – Part 2: The inhomogeneous HEBE and 2D energy balance models

Shaun Lovejoy

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Cited articles

Babenko, Y. I.: Heat and Mass Transfer, Khimiya, Leningrad, Russia, 1986 (in Russian). 
Brunt, D.: Notes on radiation in the atmosphere, Q. J. Roy. Meter. Soc., 58, 389–420, 1932. 
Chenkuan, L. and Clarkson, K.: Babenko's Approach to Abel's Integral Equations, Mathematics, 6, 32, https://doi.org/10.3390/math6030032, 2018. 
Coffey, W. T., Kalmykov, Y. P., and Titov, S. V.: Characteristic times of anomalous diffusion in a potential, in: Fractional Dynamics: Recent Advances, edited by: Klafter, J., Lim, S., and Metzler, R., World Scientific, Singapore, 51–76, 2012. 
Del Rio Amador, L. and Lovejoy, S.: Predicting the global temperature with the Stochastic Seasonal to Interannual Prediction System (StocSIPS), Clim. Dynam., 53, 4373–4411, https://doi.org/10.1007/s00382-019-04791-4, 2019. 
Short summary
Radiant energy is exchanged between the Earth's surface and outer space. Some of the local imbalances are stored in the subsurface, and some are transported horizontally. In Part 1 I showed how – in a horizontally homogeneous Earth – these classical approaches imply long-memory storage useful for seasonal forecasting and multidecadal projections. In this Part 2, I show how to apply these results to the heterogeneous real Earth.
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