Abstract
A climate state close to a tipping point will have a degenerate linear response to perturbations, which can be associated with extreme values of the equilibrium climate sensitivity (ECS). In this paper we contrast linearized (‘instantaneous’) with fully nonlinear geometric (‘two-point’) notions of ECS, in both presence and absence of tipping points. For a stochastic energy balance model of the global mean surface temperature with two stable regimes, we confirm that tipping events cause the appearance of extremes in both notions of ECS. Moreover, multiple regimes with different mean sensitivities are visible in the two-point ECS. We confirm some of our findings in a physics-based multi-box model of the climate system.
Original language | English |
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Pages (from-to) | 1531–1552 |
Journal | Journal of Statistical Physics |
Volume | 179 |
Early online date | 13 Nov 2019 |
DOIs | |
Publication status | Published - 2020 |
Funding
We thank Peter Cox, Henk Dijsktra, Valerio Lucarini, Michael Ghil and Georg Gottwald for interesting comments and suggestions concerning this work. We thank the EU ITN network CRITICS and CliMathNet for opportunities to discuss and develop this research. PA thanks the EPSRC for support under grant number EP/M008495/1. AvdH thanks the program of the Netherlands Earth System Science Centre (NESSC), financially supported by the Dutch Ministry of Education, Culture and Science (OCW). This project is TiPES contribution #7: this project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 820970. MATLAB code for the Energy Balance Model is available from https://github.com/peterashwin/ashwin-heydt-2019 .
Keywords
- Climate sensitivity
- Energy balance model
- Stochastic climate model
- Tipping point