Potential stabilizing points to mitigate tipping point interactions in Earth's climate

‘Tipping points’ (TPs) are thresholds of potentially disproportionate changes in the Earth's climate system associated with future global warming and are considered today as a ‘hot’ topic in environmental sciences. In this study, TP interactions are analysed from an integrated and conceptual point of view using two qualitative Boolean models built on graph grammars. They allow an accurate study of the node TP interactions previously identified by expert elicitation and take into account a range of various large-scale climate processes potentially able to trigger, alone or jointly, instability in the global climate. Our findings show that, contrary to commonly held beliefs, far from causing runaway changes in the Earth's climate, such as self-acceleration due to additive positive feedbacks, successive perturbations might actually lead to its stabilization. A more comprehensive model defined TPs as interactions between nine (non-exhaustive) large-scale subsystems of the Earth's climate, highlighting the enhanced sensitivity to the triggering of the disintegration of the west Antarctic ice sheet. We are claiming that today, it is extremely difficult to guess the fate of the global climate system as TP sensitivity depends strongly on the definition of the model. Finally, we demonstrate the stronger effect of decreasing rules (i.e. mitigating connected TPs) over other rule types, thus suggesting the critical role of possible ‘stabilizing points’ that are yet to be identified and studied.

[1]  Gerald R. North,et al.  The Small Ice Cap Instability in Diffusive Climate Models , 1984 .

[2]  R. Betts,et al.  Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model , 2000, Nature.

[3]  Cédric Gaucherel,et al.  Analysis of ENSO interannual oscillations using non‐stationary quasi‐periodic statistics: a study of ENSO memory , 2010 .

[4]  E. Tziperman,et al.  Sea ice, high‐latitude convection, and equable climates , 2008 .

[5]  Jean-Louis Giavitto,et al.  Modeling the topological organization of cellular processes. , 2003, Bio Systems.

[6]  Stefan Rahmstorf,et al.  Long-Term Global Warming Scenarios Computed with an Efficient Coupled Climate Model , 1999 .

[7]  Hartmut Ehrig,et al.  Handbook of graph grammars and computing by graph transformation: vol. 3: concurrency, parallelism, and distribution , 1999 .

[8]  Mark A. Cane,et al.  The evolution of El Nino, past and future , 2005 .

[9]  Hiroki Sayama,et al.  Generative Network Automata: A Generalized Framework for Modeling Adaptive Network Dynamics Using Graph Rewritings , 2009, 0901.0216.

[10]  Michael Ghil,et al.  Boolean delay equations. II. Periodic and aperiodic solutions , 1985 .

[11]  L. Mysak,et al.  Sea-ice anomalies observed in the Greenland and Labrador seas during 1901–1984 and their relation to an interdecadal Arctic climate cycle , 1990 .

[12]  Nicolas Barbier,et al.  Self‐organized vegetation patterning as a fingerprint of climate and human impact on semi‐arid ecosystems , 2006 .

[13]  R. Alley,et al.  Ice-Sheet and Sea-Level Changes , 2005, Science.

[14]  Christophe Godin,et al.  Understanding Patchy Landscape Dynamics: Towards a Landscape Language , 2012, PloS one.

[15]  L. Sloan,et al.  Trends, Rhythms, and Aberrations in Global Climate 65 Ma to Present , 2001, Science.

[16]  Stuart A. Kauffman,et al.  The origins of order , 1993 .

[17]  Réka Albert,et al.  A network model for plant–pollinator community assembly , 2010, Proceedings of the National Academy of Sciences.

[18]  B. Saltzman Climatic Systems Analysis , 1983 .

[19]  J. Overpeck,et al.  Abrupt climate change: Inevitable surprises , 2002 .

[20]  Michael Ghil,et al.  Boolean Delay equations on Networks in Economics and the Geosciences , 2011, Int. J. Bifurc. Chaos.

[21]  S. George Philander,et al.  Is El Niño Sporadic or Cyclic , 2003 .

[22]  Wolfgang Lucht,et al.  Tipping elements in the Earth's climate system , 2008, Proceedings of the National Academy of Sciences.

[23]  M. Collins,et al.  El Niño- or La Niña-like climate change? , 2005 .

[24]  M. Ghil,et al.  Another look at climate sensitivity , 2010, 1003.0253.

[25]  Yu Kosaka,et al.  Recent global-warming hiatus tied to equatorial Pacific surface cooling , 2013, Nature.

[26]  Demetris Koutsoyiannis,et al.  Hydrology and change , 2013 .

[27]  M. Allen,et al.  Corrigendum: Constraints on future changes in climate and the hydrologic cycle , 2012, Nature.

[28]  J. Neelin,et al.  Sea‐ice interaction and the stability of the thermohaline circulation , 1997 .

[29]  Grzegorz Rozenberg,et al.  Handbook of Graph Grammars and Computing by Graph Transformations, Volume 1: Foundations , 1997 .

[30]  Raymond T. Pierrehumbert,et al.  Warming the world , 2004, Nature.

[31]  A. Payne,et al.  Retreat of Pine Island Glacier controlled by marine ice-sheet instability , 2014 .

[32]  Philippe Huybrechts,et al.  The Dynamic Response of the Greenland and Antarctic Ice Sheets to Multiple-Century Climatic Warming , 1999 .

[33]  Michael Ghil,et al.  Nonlinear Dynamics and Predictability in the Atmospheric Sciences , 1991 .

[34]  V. Ramanathan,et al.  Aerosols, Climate, and the Hydrological Cycle , 2001, Science.

[35]  Jim W Hall,et al.  Imprecise probability assessment of tipping points in the climate system , 2009, Proceedings of the National Academy of Sciences.

[36]  V. Cuomo,et al.  Spectrally resolved observations of atmospheric emitted radiance in the H2O rotation band , 2008 .

[37]  Paul J. Roebber,et al.  The architecture of the climate network , 2004 .

[38]  B. Smith,et al.  Marine Ice Sheet Collapse Potentially Under Way for the Thwaites Glacier Basin, West Antarctica , 2014, Science.

[39]  A. Levermann,et al.  Ice plug prevents irreversible discharge from East Antarctica , 2014 .

[40]  M. Ghil,et al.  Coupled Climate–Economy–Biosphere (CoCEB) model – Part 1: Abatement share and investment in low-carbon technologies , 2015 .

[41]  M. Ghil,et al.  Boolean delay equations: A simple way of looking at complex systems , 2006, nlin/0612047.