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Early warning
of climate tipping points




Tim Lenton
School of Environmental Sciences, University of East Anglia, Norwich
With special thanks to Valerie Livina, John Schellnhuber, Frank Kwasniok
Outline



  Tipping elements


  Risk assessment


  Early warning
Two types of tipping point

Bifurcation
Two types of tipping point

Bifurcation                  No bifurcation
Policy relevant forcing range
IPCC (2007)
                   = High growth
                   = Mid growth
                   = Low growth
Tipping elements in the climate system
Revised from original in Lenton et al. (2008) PNAS 105(6): 1786-1793




October 11, 2010
Estimates of proximity
     Lenton & Schellnhuber (2007) Nature Reports Climate Change




Results from literature review and workshop
Likelihood of tipping
Kriegler et al. (2009) PNAS
10.1073/pnas.0809117106



   Imprecise probability
   statements from experts    Atlantic
   formally combined

   Under 2-4 °C warming:      Greenland
   >16% probability of
   passing at least one of
   five tipping points
                              Antarctica

   Under >4 °C warming:
   >56% probability of
   passing at least one of    Amazon
   five tipping points

                               El Niño
Impacts of tipping
Lenton, Footitt & Dlugolecki (2009) http://assets.panda.org/downloads/plugin_tp_final_report.pdf
                                                     Populations exposed to 1-in-100-yr flood events
Allianz / WWF report:

            Increased sea level rise
                +$25,158 billion
                exposed assets in
                port megacities

            Indian summer
            monsoon disruption

            Amazon dieback and
            drought

            Aridification of
            southwest North
            America

October 11, 2010
Tipping element risk assessment

 Tipping element               Likelihood of       Relative           Risk score      Risk ranking
                               passing a tipping   impact** of        (likelihood x
                               point               change in state    impact)
                               (by 2100)           (by 3000)

 Arctic summer sea-ice         High                Low                3               4
 Greenland ice sheet           Medium-High*        High               7.5             1 (highest)
 West Antarctic ice sheet      Medium*             High               6               2
 Atlantic THC                  Low*                Medium-High        2.5             6
 ENSO                          Low*                Medium-High        2.5             6
 West African monsoon          Low                 High               3               4
 Amazon rainforest             Medium*             Medium             4               3
 Boreal forest                 Low                 Low-Medium         1.5             8 (lowest)
 *Likelihoods informed by expert elicitation
 **Initial judgment of relative impacts is my subjective assessment

Impacts depend on human responses hence are more epistemologically contested
than assigning likelihoods to events (Stirling 2003 ‘Risk, uncertainty and precaution…’)
October 11, 2010
Prospects for bifurcation early warning
Held & Kleinen (2004) Geophysical Research Letters 31: L23207
Lenton et al. (2008) PNAS 105(6): 1786-1793


 Generic early warning signals:

         Slowing down

         Increasing variability

         Skewness of responses

         Flickering between states                              System being
                                                                forced past a
                                                                tipping point




October 11, 2010
Model test of early warning method
Held & Kleinen (2004) Geophysical Research Letters 31: L23207

                            CLIMBER-2 intermediate complexity model
                            Linear increase in CO2 from 280 to 800 ppmv
                            Stochastic perturbation of freshwater forcing
Fully 3-D dynamical model test
Lenton et al. (2009) Phil. Trans. A 367: 871-884

                                   Atlantic meridional overturning circulation




                        Early warning indicator from
                        autocorrelation function




                        Early warning indicator from
                        detrended fluctuation analysis




October 11, 2010
                     GENIE-2 model
Paleo-data test of early warning method
Livina & Lenton (2007) Geophysical Research Letters 34: L03712



Greenland ice-core regional
temperature record




Early warning indicator from
detrended fluctuation analysis



 Early warning indicator from
 autocorrelation function



October 11, 2010
Detecting the number of system states
Livina, Kwasniok & Lenton (2010) Climate of the Past, 6: 77-82

New method; „potential analysis‟:

    Assume polynomial potential
  and random noise

     Estimate number of states
  (i.e. order of polynomial)

      Estimate noise level

    Derive potential coefficients
  and hence shape of potential



                   Number of states: 1, 2, 3, 4
October 11, 2010
Changing number of climate states
Livina, Kwasniok & Lenton (2010) Climate of the Past, 6: 77-82




                                  Number of states: 1, 2, 3, 4
European monthly temperature anomaly
(1659-2004)
Livina et al. (in revision) Climate Dynamics




                                               Number of states:
                                               1, 2, 3, 4




October 11, 2010
Atlantic Multi-decadal Oscillation
(1856-present)
Livina et al. (in revision) Climate Dynamics




                                    Number of states: 1, 2, 3, 4
Conclusion

        Tipping elements in the climate system could be triggered this
      century by anthropogenic forcing
        The Greenland and West Antarctic ice sheets probably
      represent the largest risks
        Some tipping points can be anticipated in principle, but
      sufficiently high-resolution, long records are often lacking
        A change in the number of climate states can be detected, in a
      noisy climate system that is moving between states
        Improved understanding is needed to help policy makers
      “avoid the unmanageable and manage the unavoidable”



October 11, 2010
Find out more


http://knowledge.allianz.com/climate_tipping_points/climate_en.html




October 11, 2010
Example of transition (but not bifurcation)
Livina, Ditlevsen, Lenton (submitted) Nonlinear Processes in Geophysics
               Sigmoid function with red noise, fluctuation exponent 0.7




        ACF-propagator (without detrending) is more sensitive to transitions

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Tim Lenton - Early warning of climate tipping points

  • 1. Early warning of climate tipping points Tim Lenton School of Environmental Sciences, University of East Anglia, Norwich With special thanks to Valerie Livina, John Schellnhuber, Frank Kwasniok
  • 2. Outline Tipping elements Risk assessment Early warning
  • 3. Two types of tipping point Bifurcation
  • 4. Two types of tipping point Bifurcation No bifurcation
  • 5. Policy relevant forcing range IPCC (2007) = High growth = Mid growth = Low growth
  • 6. Tipping elements in the climate system Revised from original in Lenton et al. (2008) PNAS 105(6): 1786-1793 October 11, 2010
  • 7. Estimates of proximity Lenton & Schellnhuber (2007) Nature Reports Climate Change Results from literature review and workshop
  • 8. Likelihood of tipping Kriegler et al. (2009) PNAS 10.1073/pnas.0809117106 Imprecise probability statements from experts Atlantic formally combined Under 2-4 °C warming: Greenland >16% probability of passing at least one of five tipping points Antarctica Under >4 °C warming: >56% probability of passing at least one of Amazon five tipping points El Niño
  • 9. Impacts of tipping Lenton, Footitt & Dlugolecki (2009) http://assets.panda.org/downloads/plugin_tp_final_report.pdf Populations exposed to 1-in-100-yr flood events Allianz / WWF report: Increased sea level rise +$25,158 billion exposed assets in port megacities Indian summer monsoon disruption Amazon dieback and drought Aridification of southwest North America October 11, 2010
  • 10. Tipping element risk assessment Tipping element Likelihood of Relative Risk score Risk ranking passing a tipping impact** of (likelihood x point change in state impact) (by 2100) (by 3000) Arctic summer sea-ice High Low 3 4 Greenland ice sheet Medium-High* High 7.5 1 (highest) West Antarctic ice sheet Medium* High 6 2 Atlantic THC Low* Medium-High 2.5 6 ENSO Low* Medium-High 2.5 6 West African monsoon Low High 3 4 Amazon rainforest Medium* Medium 4 3 Boreal forest Low Low-Medium 1.5 8 (lowest) *Likelihoods informed by expert elicitation **Initial judgment of relative impacts is my subjective assessment Impacts depend on human responses hence are more epistemologically contested than assigning likelihoods to events (Stirling 2003 ‘Risk, uncertainty and precaution…’) October 11, 2010
  • 11. Prospects for bifurcation early warning Held & Kleinen (2004) Geophysical Research Letters 31: L23207 Lenton et al. (2008) PNAS 105(6): 1786-1793 Generic early warning signals: Slowing down Increasing variability Skewness of responses Flickering between states System being forced past a tipping point October 11, 2010
  • 12. Model test of early warning method Held & Kleinen (2004) Geophysical Research Letters 31: L23207 CLIMBER-2 intermediate complexity model Linear increase in CO2 from 280 to 800 ppmv Stochastic perturbation of freshwater forcing
  • 13. Fully 3-D dynamical model test Lenton et al. (2009) Phil. Trans. A 367: 871-884 Atlantic meridional overturning circulation Early warning indicator from autocorrelation function Early warning indicator from detrended fluctuation analysis October 11, 2010 GENIE-2 model
  • 14. Paleo-data test of early warning method Livina & Lenton (2007) Geophysical Research Letters 34: L03712 Greenland ice-core regional temperature record Early warning indicator from detrended fluctuation analysis Early warning indicator from autocorrelation function October 11, 2010
  • 15. Detecting the number of system states Livina, Kwasniok & Lenton (2010) Climate of the Past, 6: 77-82 New method; „potential analysis‟: Assume polynomial potential and random noise Estimate number of states (i.e. order of polynomial) Estimate noise level Derive potential coefficients and hence shape of potential Number of states: 1, 2, 3, 4 October 11, 2010
  • 16. Changing number of climate states Livina, Kwasniok & Lenton (2010) Climate of the Past, 6: 77-82 Number of states: 1, 2, 3, 4
  • 17. European monthly temperature anomaly (1659-2004) Livina et al. (in revision) Climate Dynamics Number of states: 1, 2, 3, 4 October 11, 2010
  • 18. Atlantic Multi-decadal Oscillation (1856-present) Livina et al. (in revision) Climate Dynamics Number of states: 1, 2, 3, 4
  • 19. Conclusion Tipping elements in the climate system could be triggered this century by anthropogenic forcing The Greenland and West Antarctic ice sheets probably represent the largest risks Some tipping points can be anticipated in principle, but sufficiently high-resolution, long records are often lacking A change in the number of climate states can be detected, in a noisy climate system that is moving between states Improved understanding is needed to help policy makers “avoid the unmanageable and manage the unavoidable” October 11, 2010
  • 21. Example of transition (but not bifurcation) Livina, Ditlevsen, Lenton (submitted) Nonlinear Processes in Geophysics Sigmoid function with red noise, fluctuation exponent 0.7 ACF-propagator (without detrending) is more sensitive to transitions