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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

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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

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

Cod in North Atlantic crashes

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

deMenocal et al, 2000

The Sahel turned into desert

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

Earth climate systems shift

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

Financial markets collapse

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

Ave

rage

jour

ney

time

We get stuck in traffic jams

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

Humans get epileptic seizures

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Can we foresee if a system approaches a transition?

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

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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?

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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

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

Critical Transitions workshop 2007

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Early Warning Signals

for critical transitions

as Indicators of Resilience

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

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

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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

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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?

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

Consequences of critical slowing down

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Indicators of transitions in time

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

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Indicators of transitions in time

Rising variance

Carpenter & Brock, 2006

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

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Indicators of transitions in time

Guttal & Jayaprakash, 2008

Increasing skewness

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

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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

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Indicators of transitions in space

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

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Indicators of transitions in space

pattern formation

Rietkerk et al, 2004

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

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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

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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

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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

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

The indicators seem to work well on models…

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23 juni 2005

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

Do the indicators work in reality?

But…

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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

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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

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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

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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

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� 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

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�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

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23 juni 2005

[email protected]

Thank you for your attention!

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

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