Act Talk - Vasilis Dakos: Expecting the unexpected

36
Vasilis Dakos Aquatic Ecology and Water Quality Management Group Wageningen University, The Netherlands [email protected] , (www.aew.wur.nl/UK/) Expecting the unexpected: Leading indicators of regime shifts Nordwijk March 2010

description

Large scale catastrophic shifts have been documented for ecosystems, climate systems, oceanic circulation patterns and socio-economic systems. Such shifts may be related to loss of resilience, in the sense that the basin of attraction of the present state of a system is shrinking and the probability that a small disturbance can tip the system into the basin of attraction of a contrasting state increases. Recent theoretical findings suggest that the shrinking of the basin of attraction has fundamental effects on the dynamical behavior of the system. Such effects appear to change with a consistent way as the system approaches the point where the catastrophic transition takes place. Apparently, being able to decipher these effects into measurable quantities of some sort of leading indicators can enhance our ability to assess the risk of upcoming catastrophic shifts, or to manage systems for enhanced resilience to such transitions.

Transcript of Act Talk - Vasilis Dakos: Expecting the unexpected

Page 1: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos

Aquatic Ecology and Water Quality Management Group Wageningen University, The Netherlands [email protected], (www.aew.wur.nl/UK/)

Expecting the unexpected:Leading indicators of regime shifts

Nordwijk March 2010

Page 2: Act Talk - Vasilis Dakos: Expecting the unexpected

[transitions]

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 3: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Clear lakes get turbid

Scheffer and Carpenter, 2003

algae dominated state

macrophyte dominated state

Page 4: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Cod in North Atlantic crashes

Page 5: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

deMenocal et al, 2000

The Sahel turned into desert

Page 6: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Earth climate systems shift

Page 7: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Financial markets collapse

Page 8: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Ave

rage

jour

ney

time

We get stuck in traffic jams

Page 9: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Humans get epileptic seizures

Page 10: Act Talk - Vasilis Dakos: Expecting the unexpected

Can we foresee if a system approaches a transition?

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 11: Act Talk - Vasilis Dakos: Expecting the unexpected

Can we foresee if a system approaches a transition?

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Even if we do not understand the system?

Page 12: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Same shift different causes:

Small changes big surprisesBig changes big surprises

Critical transition

It depends…

Scheffer 2009

Page 13: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Critical Transitions workshop 2007

Page 14: Act Talk - Vasilis Dakos: Expecting the unexpected

Early Warning Signals

for critical transitions

as Indicators of Resilience

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 15: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 16: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts Scheffer and Carpenter, 2003

Why should we expect early-warning signals?

Bifurcation point

Eigenvalue goes to zero

Page 17: Act Talk - Vasilis Dakos: Expecting the unexpected

Critical slowing down prior to a transition

Van Nes & Scheffer, 2007

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

What does the “eigenvalue goes-to-zero” mean?

Page 18: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Consequences of critical slowing down

Page 19: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in time

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 20: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in time

Rising variance

Carpenter & Brock, 2006

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 21: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in time

Guttal & Jayaprakash, 2008

Increasing skewness

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 22: Act Talk - Vasilis Dakos: Expecting the unexpected

Held & Kleinen, 2004

Indicators of transitions in time

Increasing autocorrelation at-lag-1

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 23: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in space

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 24: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in space

pattern formation

Rietkerk et al, 2004

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Page 25: Act Talk - Vasilis Dakos: Expecting the unexpected

Indicators of transitions in space

Kéfi et al, 2007

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Increasing grazing

Truncated power law

Page 26: Act Talk - Vasilis Dakos: Expecting the unexpected

Spatial Variance

Spatial Skewness

Indicators of transitions in space

Guttal & Jayaprakash, 2008

Spatial Mean

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

overexploited

underexploited

Page 27: Act Talk - Vasilis Dakos: Expecting the unexpected

Dakos et al, early online

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Indicators of transitions in space

Increasing spatial correlation

Turbid state

Clear state

Page 28: Act Talk - Vasilis Dakos: Expecting the unexpected

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

The indicators seem to work well on models…

Page 29: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Do the indicators work in reality?

But…

Page 30: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Slowing down precedes ancient climate shifts

Shutdown of thermohaline circulation

Model prediction Data

end of Younger Dryas

Dakos et al, 2008

Page 31: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Slowing down precedes ancient climate shifts

Dakos et al, 2008

…more examples

Page 32: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Increasing variance precedes epileptic attacks

McSharry et al, 2003; Scheffer et al, 2009

Page 33: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Increased spatial variance prior to community reorganization

Litzow et al, 2008

Page 34: Act Talk - Vasilis Dakos: Expecting the unexpected

� Indirectestimates of resilience(indication of proximity to transition not predictive tools)

�Tools for verifying past regime shifts (indication in establishing a sudden change as a critical transition)

�Limitationsin their estimation in real systems (data length, data resolution, scale issues)

�Practical applicability:may work better in spatial than temporal context

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Few concluding points

Page 35: Act Talk - Vasilis Dakos: Expecting the unexpected

�How can we identify false positives? (need for proceedures to increase statistical power)

�What kind of monitoring schemesthat can capture the indicators do we need to design?

�Can we develop empirical tests for the indicators next to monitoring for probing the resilience of the system?

�Are they only relativemeasures? Or could an one-timesampling estimate indicate how much fragile the system is?

�How much early is early enough?

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Challenges

Page 36: Act Talk - Vasilis Dakos: Expecting the unexpected

23 juni 2005

[email protected]

Thank you for your attention!

Vasilis Dakos Wageningen University Expecting the unexpected: Leading indicators of regime shifts

Scientists Seek Warning Signs for Catastrophic Tipping Points

Nordwijk March 2010