Transitions across Melancholia States in a Climate Model: Reconciling the Deterministic and Stochastic Points of View

Abstract

The Earth is well-known to be, in the current astronomical configuration, in a regime where two asymptotic states can be realised. The warm state we live in is in competition with the ice-covered snowball state. The bistability exists as a result of the positive ice-albedo feedback. In a previous investigation performed on a intermediate complexity climate model we have identified the unstable climate states (Melancholia states) separating the co-existing climates, and studied their dynamical and geometrical properties. The Melancholia states are ice-covered up to the mid-latitudes and attract trajectories initialised on the basins boundary. In this paper, we study how stochastically perturbing the parameter controlling the intensity of the incoming solar radiation impacts the stability of the climate. We detect transitions between the warm and the snowball state and analyse in detail the properties of the noise-induced escapes from the corresponding basins of attraction. We determine the most probable paths for the transitions and find evidence that the Melancholia states act as gateways, similarly to saddle points in an energy landscape.

arXiv comment5 pages, 4 figures; final PRL accepted version

References in corpus (11)

• Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system
• Turbulence transition and the edge of chaos in pipe flow
• Edge States in the Climate System: Exploring Global Instabilities and Critical Transitions
• Bistability of the climate around the habitable zone: a thermodynamic investigation
• An iterative action minimizing method for computing optimal paths in stochastic dynamical systems
• Basin boundary, edge of chaos, and edge state in a two-dimensional model
• Global instability in the Ghil-Sellers model
• Crisis of the Chaotic Attractor of a Climate Model: A Transfer Operator Approach
• Habitability and Multistability in Earth-like Planets
• Climate sensitivity to ozone and its relevance on the habitability of Earth-like planets
• An efficient algorithm to estimate the potential barrier height from noise-induced escape time data

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