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Controllability montpellier

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Page 1: Controllability montpellier
Page 2: Controllability montpellier

When to adapt or when to transform? Using network controllability to assess

how manageable are regime shifts!!

Juan-Carlos Rocha

Page 3: Controllability montpellier

Regime Shifts Transformations

Figures from Arctic Resilience Assessment Interim Report 2012

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• Systems can be represented as a network of interacting elements

• Identifying controlling nodes is possible using only structural information of the network:

• # of driving nodes correlates with degree distribution

• driver nodes tend to avoid high-degree nodes

• Heterogeneous networks (most real) are difficult to control. Homogeneous dense networks are more controllable = fewer driving nodes

Liu et al, 2012

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Are regime shifts controllable? To what extent can we manage them?

• Critics to Liu et al.:

• Topology is not enough

• Internal dynamics

• “We argue that more important than issues of structural controllability are the questions of whether a system is almost uncrontrollable, whether it is almost unobservable…”

Cowan et al, 2012

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• Focus on edge dynamics: heterogeneous and sparse networks have more controllable edge dynamics than homogeneous dense networks.

• Contradictory results?

Are regime shifts controllable? To what extent can we manage them?

Page 7: Controllability montpellier

Driver… is any natural or human-

induced factor that directly or indirectly causes a change in

an [eco]system. A direct driver unequivocally influences ecosystem processes. An

indirect driver operates more diffusely by altering one or

more direct drivers.

Page 8: Controllability montpellier

Bivalves collapse

Bivalvesabundance

Dissolved oxigen

Biodiversity

Habitat structuralcomplexity

Local watermovements

+

+

+

+

+

Fishing

Plankton andfilamentous algae

-

Water turbidity

-

-

B

B

R

R

Nutrients input

Agriculture Urbanization

SewageFertilizer Use

Deforestation

+

+

+

+

+

Demand forfood & fibre

+

mid-predator fish

-

-

+

+

B

Filtration+

-

Erosion+

+

Nutrients in water-+

+

+

+

Logging+

+

Flooding

+

Disease

-

+

sedimentation

+

-

Shellfish harvest

-

+

+ B

B

Urban StormWater Runoff

+

+

PrecipitationVariability

+

+

Aquaculture

+

+

Hurricane

-

+

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My own critiques• Unmatched nodes change if the

periphery of the causal networks change - The limits of the system blur

• Unmatched nodes change when joining causal networks to understand cascading effects.

• I believe there is opportunities to combine network science and resilience science to answer the question: When do we build resilience and where do we need transformational change? Causal Loop Diagrams for

19 regime shifts around the world

Page 10: Controllability montpellier

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Thank you!

Does it make sense?? Ideas, tomatoes or opportunities for collaboration:

e-mail: [email protected] twitter: @juanrocha slides: http://criticaltransitions.wordpress.com/ | data: www.regimeshifts.rog