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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Polar Amplification Projected by Energy Balance Model with Nonlinear Parametrization of Outgoing Longwave Radiation

Discontinuity, Nonlinearity, and Complexity 7(2) (2018) 209--223 | DOI:10.5890/DNC.2018.06.009

Dmitry V. Kovalevsky$^{1}$,$^{2}$,$^{3}$, Genrikh V. Alekseev$^{4}$

$^{1}$ Climate Service Center Germany (GERICS), Helmholtz-Zentrum Geesthacht, Fischertwiete 1, 20095 Hamburg, Germany

$^{2}$ Nansen International Environmental and Remote Sensing Centre, 14th Line 7, office 49, Vasilievsky Island, 199034 St. Petersburg, Russia

$^{3}$ Saint Petersburg State University, Universitetskaya emb. 7-9, 199034 St. Petersburg, Russia

$^{4}$ Arctic and Antarctic Research Institute, Bering str. 38, 199397 St. Petersburg, Russia

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A linear energy balance model (EBM) of polar amplification (PA) developed by Langen and Alexeev (2007) is modified by replacing the conventional linear parametrization of outgoing longwave radiation (OLR) with a more accurate nonlinear (quadratic) approximation for OLR. The nonlinear version of the model is studied analytically and numerically. The numerical results presented in the paper convincingly demonstrate the importance of adopting the nonlinear approximation for parametrizing the OLR in EBMs. The simulation results yielded by the nonlinear version of the model are visibly different from those provided by the linear model, especially for simulations of climate change in high latitudes and for quantification of PA with dedicated indices.


The reported study was supported by the Russian Foundation for Basic Research, research project No. 15-05-03512-a.


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