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A study of abrupt climate change in a simple nonlinear climate model

Abstract

We use a seasonal energy balance climate model to study the behavior of the snowline cycle as a function of external parameters such as the solar constant. Our studies are confined in this study to cases with zonally symmetric land-sea distributions (bands or caps of land). The model is nonlinear in that the seasonally varying snow/sea ice line modifies the energy receipt through its different albedo from open land or water. The repeating steady-state seasonal cycle of the model is solved by a truncated Fourier series in time. This method is several thousand times faster than a time stepping approach. The results are interesting in that a number of bifurcations in the snowline behavior are found and studied for various geographies. Polar land caps and land bands positioned near the poles exhibit a variety of discontinuous summer snow cover behaviors (abrupt transitions as a parameter such as solar constant is slowly varied), which may be relevant to the inception and decay of continental ice sheets.

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Correspondence to G R North.

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Lin, R.Q., North, G.R. A study of abrupt climate change in a simple nonlinear climate model. Climate Dynamics 4, 253–261 (1990). https://doi.org/10.1007/BF00211062

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Keywords

  • Open Land
  • Solar Constant
  • Abrupt Climate
  • Abrupt Climate Change
  • Truncate Fourier Series