Journal cover Journal topic
Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
Journal topic

Journal metrics

Journal metrics

  • IF value: 1.699 IF 1.699
  • IF 5-year value: 1.559 IF 5-year
  • CiteScore value: 1.61 CiteScore
  • SNIP value: 0.884 SNIP 0.884
  • IPP value: 1.49 IPP 1.49
  • SJR value: 0.648 SJR 0.648
  • Scimago H <br class='hide-on-tablet hide-on-mobile'>index value: 52 Scimago H
    index 52
  • h5-index value: 21 h5-index 21
Discussion papers
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: research article 11 Feb 2020

Submitted as: research article | 11 Feb 2020

Review status
This preprint is currently under review for the journal NPG.

Anthropocene Climate Bifurcation

Kolja Leon Kypke, William Finlay Langford, and Allan Richard Willms Kolja Leon Kypke et al.
  • Department of Mathematics and Statistics, University of Guelph, 50 Stone Road West, Guelph, ON, Canada N1G 2W1

Abstract. This article presents the results of a bifurcation analysis of a simple Energy Balance Model (EBM) for the future climate of the Earth. The main focus is on the question: Can the nonlinear processes intrinsic to atmospheric physics, including natural positive feedback mechanisms, cause a mathematical bifurcation of the climate state, as a consequence of continued anthropogenic forcing by rising greenhouse gas emissions? Our analysis shows that such a bifurcation could cause an abrupt change, to a drastically different climate state in the EBM, warmer and more equable than any climate existing on Earth since the Pliocene Epoch. In previous papers, with this EBM adapted to paleoclimate conditions, it was shown to exhibit saddlenode and cusp bifurcations. The EBM was validated by the agreement of its predicted bifurcations with the abrupt climate changes that are known to have occurred in the paleoclimate record, in the Antarctic at the Eocene-Oligocene Transition (EOT) and in the Arctic at the Pliocene-Paleocene Transition (PPT). In this paper, the EBM is adapted to fit Anthropocene climate conditions, with emphasis on the Arctic and Antarctic climates. The four Representative Concentration Pathways (RCP) developed by the IPCC are used to model future CO2 concentrations, corresponding to different scenarios of anthropogenic activity. In addition, the EBM investigates four naturally occurring nonlinear feedback processes which magnify the warming that would be caused by anthropogenic CO2 emissions alone. These four feedback mechanisms are: ice-albedo feedback, water vapour feedback, ocean heat transport feedback and atmospheric heat transport feedback. The EBM predicts that a bifurcation resulting in a catastrophic climate change will occur in coming centuries, for an RPC with unabated anthropogenic forcing, amplified by these positive feedbacks. However, the EBM suggests that appropriate reductions in carbon emissions may limit climate change to a more tolerable continuation of what is observed today. This EBM has an Equilibrium Climate Sensitivity (ECS) near the high end of the range recorded by the IPCC.

Kolja Leon Kypke et al.

Interactive discussion

Status: open (until 11 Apr 2020)
Status: open (until 11 Apr 2020)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
[Subscribe to comment alert] Printer-friendly Version - Printer-friendly version Supplement - Supplement

Kolja Leon Kypke et al.

Kolja Leon Kypke et al.


Total article views: 252 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
203 43 6 252 6 5
  • HTML: 203
  • PDF: 43
  • XML: 6
  • Total: 252
  • BibTeX: 6
  • EndNote: 5
Views and downloads (calculated since 11 Feb 2020)
Cumulative views and downloads (calculated since 11 Feb 2020)

Viewed (geographical distribution)

Total article views: 158 (including HTML, PDF, and XML) Thereof 158 with geography defined and 0 with unknown origin.
Country # Views %
  • 1



No saved metrics found.


No discussed metrics found.
Latest update: 03 Apr 2020
Publications Copernicus
Short summary
The climate of Earth is governed by nonlinear processes of geophysics. This paper presents energy balance models (EBM) embracing these nonlinear processes, which lead to positive feedback, amplifying the effects of anthropogenic forcing and leading to bifurcations. We define bifurcation as a change in the topological equivalence class of the system. We initiate a bifurcation analysis of EBMs of Anthropocene climate, which show that catastrophic climate change may occur in the next century.
The climate of Earth is governed by nonlinear processes of geophysics. This paper presents...