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2014 | OriginalPaper | Buchkapitel

9. Predictive Use of the Maximum Entropy Production Principle for Past and Present Climates

verfasst von : Corentin Herbert, Didier Paillard

Erschienen in: Beyond the Second Law

Verlag: Springer Berlin Heidelberg

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Abstract

In this chapter, we show how the MaxEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MaxEP hypothesis by comparing a simple model with minimal input data to a complex, state-of-the-art General Circulation Model. Next, we show how to improve the realism of MaxEP climate models by including climate feedbacks, focusing on the case of the water-vapour feedback. We also discuss the dependence of the entropy production rate and predicted surface temperature on the resolution of the model.

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Fußnoten
1
The uniform relative humidity in version 3 is chosen as the mean relative humidity in the MaxEP v0 case.
 
Literatur
1.
Zurück zum Zitat Peixoto, J.P., Oort, A.H.: Physics of Climate. Springer, New-York (1992) Peixoto, J.P., Oort, A.H.: Physics of Climate. Springer, New-York (1992)
2.
Zurück zum Zitat McGuffie, K., Henderson-Sellers, A.: A Climate Modelling primer. John Wiley (2005) McGuffie, K., Henderson-Sellers, A.: A Climate Modelling primer. John Wiley (2005)
3.
Zurück zum Zitat Goody, R., Yung, Y.: Atmospheric Radiation: Theoretical Basis. Oxford University Press, Oxford (1995) Goody, R., Yung, Y.: Atmospheric Radiation: Theoretical Basis. Oxford University Press, Oxford (1995)
4.
Zurück zum Zitat Holton, J.: An Introduction to Dynamic Meteorology. Academic Press, New York (2004) Holton, J.: An Introduction to Dynamic Meteorology. Academic Press, New York (2004)
6.
Zurück zum Zitat Ambaum, M.H.P.: Thermal Physics of the Atmosphere. Wiley, Chichester (2010)CrossRef Ambaum, M.H.P.: Thermal Physics of the Atmosphere. Wiley, Chichester (2010)CrossRef
7.
Zurück zum Zitat Holloway, G.: From classical to statistical ocean dynamics. Surv. Geophys. 25, 203–219 (2004)CrossRef Holloway, G.: From classical to statistical ocean dynamics. Surv. Geophys. 25, 203–219 (2004)CrossRef
8.
Zurück zum Zitat Johnson, D.: “General coldness of climate models” and the second law: implications for modeling the earth system. J. Climate 10, 2826 (1997)CrossRef Johnson, D.: “General coldness of climate models” and the second law: implications for modeling the earth system. J. Climate 10, 2826 (1997)CrossRef
9.
Zurück zum Zitat Lucarini, V.: Thermodynamic efficiency and entropy production in the climate system. Phys. Rev. E 80, 021118 (2009) Lucarini, V.: Thermodynamic efficiency and entropy production in the climate system. Phys. Rev. E 80, 021118 (2009)
10.
Zurück zum Zitat Kleidon, A., Lorenz, R. (eds.): Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Berlin (2005) Kleidon, A., Lorenz, R. (eds.): Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Berlin (2005)
11.
Zurück zum Zitat Martyushev, L., Seleznev, V.: Maximum entropy production principle in physics, chemistry and biology. Phys. Rep. 426, 1–45 (2006)MathSciNetCrossRef Martyushev, L., Seleznev, V.: Maximum entropy production principle in physics, chemistry and biology. Phys. Rep. 426, 1–45 (2006)MathSciNetCrossRef
12.
Zurück zum Zitat Ozawa, H., Ohmura, A., Lorenz, R., Pujol, T.: The second law of thermodynamics and the global climate system: a review of the maximum entropy production principle. Rev. Geophys. 41, 1018 (2003)CrossRef Ozawa, H., Ohmura, A., Lorenz, R., Pujol, T.: The second law of thermodynamics and the global climate system: a review of the maximum entropy production principle. Rev. Geophys. 41, 1018 (2003)CrossRef
14.
Zurück zum Zitat Dewar, R.: Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states. J. Phys. A 36, 631–641 (2003)MathSciNetCrossRefMATH Dewar, R.: Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states. J. Phys. A 36, 631–641 (2003)MathSciNetCrossRefMATH
15.
Zurück zum Zitat Dewar, R.: Maximum entropy production and non-equilibrium statistical mechanics. In: Kleidon, A., Lorenz, R. (eds.) Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Heidelberg (2004) Dewar, R.: Maximum entropy production and non-equilibrium statistical mechanics. In: Kleidon, A., Lorenz, R. (eds.) Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Heidelberg (2004)
16.
Zurück zum Zitat Grinstein, G., Linsker, R.: Comments on a derivation and application of the ‘maximum entropy production’ principle. J. Phys. A 40, 9717–9720 (2007)MathSciNetCrossRefMATH Grinstein, G., Linsker, R.: Comments on a derivation and application of the ‘maximum entropy production’ principle. J. Phys. A 40, 9717–9720 (2007)MathSciNetCrossRefMATH
17.
Zurück zum Zitat Ito, T., Kleidon, A.: Entropy production of atmospheric heat transport. In: Kleidon, A., Lorenz, R. (eds.) Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Heidelberg (2004) Ito, T., Kleidon, A.: Entropy production of atmospheric heat transport. In: Kleidon, A., Lorenz, R. (eds.) Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Heidelberg (2004)
18.
Zurück zum Zitat Kleidon, A., Fraedrich, K., Kirk, E., Lunkeit, F.: Maximum entropy production and the strength of boundary layer exchange in an atmospheric general circulation model. Geophys. Res. Lett. 33, 1627–1643 (2006)CrossRef Kleidon, A., Fraedrich, K., Kirk, E., Lunkeit, F.: Maximum entropy production and the strength of boundary layer exchange in an atmospheric general circulation model. Geophys. Res. Lett. 33, 1627–1643 (2006)CrossRef
19.
Zurück zum Zitat Kleidon, A., Fraedrich, K., Kunz, T., Lunkeit, F.: The atmospheric circulation and states of maximum entropy production. Geophys. Res. Lett. 30, 2223 (2003)CrossRef Kleidon, A., Fraedrich, K., Kunz, T., Lunkeit, F.: The atmospheric circulation and states of maximum entropy production. Geophys. Res. Lett. 30, 2223 (2003)CrossRef
20.
Zurück zum Zitat Kunz, T., Fraedrich, K., Kirk, E.: Optimisation of simplified GCMs using circulation indices and maximum entropy production. Clim. Dyn. 30, 803–813 (2008)CrossRef Kunz, T., Fraedrich, K., Kirk, E.: Optimisation of simplified GCMs using circulation indices and maximum entropy production. Clim. Dyn. 30, 803–813 (2008)CrossRef
21.
Zurück zum Zitat Pascale, S., Gregory, J.M., Ambaum, M.H.P., Tailleux, R.: A parametric sensitivity study of entropy production and kinetic energy dissipation using the FAMOUS AOGCM. Clim. Dyn. 38, 1211–1227 (2012)CrossRef Pascale, S., Gregory, J.M., Ambaum, M.H.P., Tailleux, R.: A parametric sensitivity study of entropy production and kinetic energy dissipation using the FAMOUS AOGCM. Clim. Dyn. 38, 1211–1227 (2012)CrossRef
22.
Zurück zum Zitat Paltridge, G.: Global dynamics and climate-a system of minimum entropy exchange. Q. J. R. Meteorol. Soc. 101, 475–484 (1975)CrossRef Paltridge, G.: Global dynamics and climate-a system of minimum entropy exchange. Q. J. R. Meteorol. Soc. 101, 475–484 (1975)CrossRef
23.
Zurück zum Zitat Rodgers, C.: Comments on Paltridge’s “minimum entropy exchange” principle. Q. J. R. Meteorol. Soc. 102, 455–457 (1976) Rodgers, C.: Comments on Paltridge’s “minimum entropy exchange” principle. Q. J. R. Meteorol. Soc. 102, 455–457 (1976)
24.
Zurück zum Zitat Gerard, J., Delcourt, D., Francois, L.: The maximum entropy production principle in climate models: application to the faint young sun paradox. Q. J. R. Meteorol. Soc. 116, 1123–1132 (1990)CrossRef Gerard, J., Delcourt, D., Francois, L.: The maximum entropy production principle in climate models: application to the faint young sun paradox. Q. J. R. Meteorol. Soc. 116, 1123–1132 (1990)CrossRef
25.
Zurück zum Zitat Grassl, H.: The climate at maximum entropy production by meridional atmospheric and oceanic heat fluxes. Q. J. R. Meteorol. Soc. 107, 153–166 (1981)CrossRef Grassl, H.: The climate at maximum entropy production by meridional atmospheric and oceanic heat fluxes. Q. J. R. Meteorol. Soc. 107, 153–166 (1981)CrossRef
26.
Zurück zum Zitat Paltridge, G.: The steady-state format of global climate. Q. J. R. Meteorol. Soc. 104, 927–945 (1978)CrossRef Paltridge, G.: The steady-state format of global climate. Q. J. R. Meteorol. Soc. 104, 927–945 (1978)CrossRef
27.
Zurück zum Zitat Wyant, P., Mongroo, A., Hameed, S.: Determination of the heat-transport coefficient in energy-balance climate models by extremization of entropy production. J. Atmos. Sci. 45, 189–193 (1988)CrossRef Wyant, P., Mongroo, A., Hameed, S.: Determination of the heat-transport coefficient in energy-balance climate models by extremization of entropy production. J. Atmos. Sci. 45, 189–193 (1988)CrossRef
28.
Zurück zum Zitat Lorenz, R., Lunine, J., Withers, P., McKay, C.: Titan, Mars and Earth: Entropy production by latitudinal heat transport. Geophys. Res. Lett. 28, 415–418 (2001)CrossRef Lorenz, R., Lunine, J., Withers, P., McKay, C.: Titan, Mars and Earth: Entropy production by latitudinal heat transport. Geophys. Res. Lett. 28, 415–418 (2001)CrossRef
29.
Zurück zum Zitat Jupp, T.E., Cox, P.: MEP and planetary climates: insights from a two-box climate model containing atmospheric dynamics. Phil. Trans. R. Soc. B 365, 1355–1365 (2010)CrossRef Jupp, T.E., Cox, P.: MEP and planetary climates: insights from a two-box climate model containing atmospheric dynamics. Phil. Trans. R. Soc. B 365, 1355–1365 (2010)CrossRef
30.
Zurück zum Zitat Herbert, C., Paillard, D., Kageyama, M., Dubrulle, B.: Present and Last Glacial Maximum climates as states of maximum entropy production. Q. J. R. Meteorol. Soc. 137, 1059–1069 (2011)CrossRef Herbert, C., Paillard, D., Kageyama, M., Dubrulle, B.: Present and Last Glacial Maximum climates as states of maximum entropy production. Q. J. R. Meteorol. Soc. 137, 1059–1069 (2011)CrossRef
31.
Zurück zum Zitat Lacis, A., Hansen, J.: A parameterization for the absorption of solar radiation in the earth’s atmosphere. J. Atmos. Sci. 31, 118–133 (1974)CrossRef Lacis, A., Hansen, J.: A parameterization for the absorption of solar radiation in the earth’s atmosphere. J. Atmos. Sci. 31, 118–133 (1974)CrossRef
32.
Zurück zum Zitat Stephens, G.: The parameterization of radiation for numerical weather prediction and climate models. Mon. Wea. Rev. 112, 826–867 (1984)CrossRef Stephens, G.: The parameterization of radiation for numerical weather prediction and climate models. Mon. Wea. Rev. 112, 826–867 (1984)CrossRef
33.
Zurück zum Zitat Dufresne, J.L., Fournier, R., Hourdin, C., Hourdin, F.: Net Exchange Reformulation of Radiative Transfer in the CO2 15 μm Band on Mars. J. Atmos. Sci. 62, 3303–3319 (2005)CrossRef Dufresne, J.L., Fournier, R., Hourdin, C., Hourdin, F.: Net Exchange Reformulation of Radiative Transfer in the CO2 15 μm Band on Mars. J. Atmos. Sci. 62, 3303–3319 (2005)CrossRef
34.
Zurück zum Zitat McClatchey, R., Selby, J., Volz, F., Fenn, R., Garing, J.: Optical properties of the atmosphere. Air Force Camb. Res., Lab (1972) McClatchey, R., Selby, J., Volz, F., Fenn, R., Garing, J.: Optical properties of the atmosphere. Air Force Camb. Res., Lab (1972)
35.
Zurück zum Zitat Renno, N.: Multiple equilibria in radiative-convective atmospheres. Tellus A 49, 423–438 (1997)CrossRef Renno, N.: Multiple equilibria in radiative-convective atmospheres. Tellus A 49, 423–438 (1997)CrossRef
36.
Zurück zum Zitat Pierrehumbert, R.: The hydrologic cycle in deep-time climate problems. Nature 419, 191 (2002)CrossRef Pierrehumbert, R.: The hydrologic cycle in deep-time climate problems. Nature 419, 191 (2002)CrossRef
37.
Zurück zum Zitat Lenton, T., Held, H., Kriegler, E., Hall, J.W., Lucht, W., Rahmstorf, S., Schellnhuber, H.: Tipping elements in the earth’s climate system. Proc. Natl. Aca. Sci. U.S.A. 105, 1786–1793 (2008)CrossRefMATH Lenton, T., Held, H., Kriegler, E., Hall, J.W., Lucht, W., Rahmstorf, S., Schellnhuber, H.: Tipping elements in the earth’s climate system. Proc. Natl. Aca. Sci. U.S.A. 105, 1786–1793 (2008)CrossRefMATH
38.
Zurück zum Zitat Roe, G., Baker, M.: Why is climate sensitivity so unpredictable? Science 318, 629 (2007)CrossRef Roe, G., Baker, M.: Why is climate sensitivity so unpredictable? Science 318, 629 (2007)CrossRef
39.
Zurück zum Zitat Herbert, C., Paillard, D., Dubrulle, B.: Entropy production and multiple equilibria: the case of the ice-albedo feedback. Earth Syst. Dynam. 2, 13–23 (2011)CrossRef Herbert, C., Paillard, D., Dubrulle, B.: Entropy production and multiple equilibria: the case of the ice-albedo feedback. Earth Syst. Dynam. 2, 13–23 (2011)CrossRef
40.
Zurück zum Zitat Marti, O., Braconnot, P., Dufresne, J.L., Bellier, J., Benshila, R., Bony, S., Brockmann, P., Cadule, P., Caubel, A., Codron, F., de Noblet-Decoudre, N., Denvil, S., Fairhead, L., Fichefet, T., Foujols, M.A., Friedlingstein, P., Goosse, H., Grandpeix, J.Y., Guilyardi, E., Hourdin, F., Idelkadi, A., Kageyama, M., Krinner, G., L′evy, C., Madec, G., Mignot, J., Musat, I., Swingedouw, D., Talandier, C.: Key features of the IPSL ocean atmosphere model and its sensitivity to atmospheric resolution. Clim. Dyn. 34, 1–26 (2010)CrossRef Marti, O., Braconnot, P., Dufresne, J.L., Bellier, J., Benshila, R., Bony, S., Brockmann, P., Cadule, P., Caubel, A., Codron, F., de Noblet-Decoudre, N., Denvil, S., Fairhead, L., Fichefet, T., Foujols, M.A., Friedlingstein, P., Goosse, H., Grandpeix, J.Y., Guilyardi, E., Hourdin, F., Idelkadi, A., Kageyama, M., Krinner, G., L′evy, C., Madec, G., Mignot, J., Musat, I., Swingedouw, D., Talandier, C.: Key features of the IPSL ocean atmosphere model and its sensitivity to atmospheric resolution. Clim. Dyn. 34, 1–26 (2010)CrossRef
41.
Zurück zum Zitat IPCC: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA (2007) IPCC: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA (2007)
42.
Zurück zum Zitat Crowley, T.J., North, G.R.: Paleoclimatology. Oxford University Press, Oxford (1996) Crowley, T.J., North, G.R.: Paleoclimatology. Oxford University Press, Oxford (1996)
43.
Zurück zum Zitat Paillard, D., Herbert, C.: Maximum entropy production and time varying problems: the seasonal cycle in a conceptual climate model. Entropy 15, 2846–2860 (2013) Paillard, D., Herbert, C.: Maximum entropy production and time varying problems: the seasonal cycle in a conceptual climate model. Entropy 15, 2846–2860 (2013)
Metadaten
Titel
Predictive Use of the Maximum Entropy Production Principle for Past and Present Climates
verfasst von
Corentin Herbert
Didier Paillard
Copyright-Jahr
2014
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-40154-1_9