Resilience and Connectivity in the California Water Network - cwemf

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Connectivity and Resilience in California Water Infrastructure Erik Porse UC Davis Civil and Environmental Engineering CWEMF 25 February 2014

Transcript of Resilience and Connectivity in the California Water Network - cwemf

Connectivity and Resilience in

California Water Infrastructure

Erik Porse UC Davis

Civil and Environmental Engineering

CWEMF

25 February 2014

Resilience & Water Resources

• Hashimoto (1982): Resiliency, reliability, and

vulnerability

• Fiering (1982): Indices

• Loucks (1997): Sustainability Index, with resilience

New Bullards Bar Dam

Connectivity and Resilience

• Resilience: conceptions across fields

– Engineering: Stability

– Ecology: Non-linearity and change

– Security: Hardening and protection

• Connectivity

– Diversity of function between

and within scales

• Networks

– Visualization

– Metrics

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Sources: Holling (1973), Peterson et al (1998), Freeman (1977), Barthélemy (2011), Kansky (1963)

Food Webs (credit: Portland Schools)

The Internet (credit: UBC) Transportation (Strano et al 2012)

Visualizing Networks

Credit: CALVIN

Credit: CALVIN

Credit: UC Davis, CIPIC

California Water Network: CALVIN

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Central Dominance and Efficiency

Central Point Dominance:

Average difference in node

centrality of the most central

point and all others

Average Path Length:

Average distance between

two nodes, for all nodes.

Shorter avg. path lengths

indicate more efficient

networks

CALVIN: Breaking the Network

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0

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25

0

0.005

0.01

0.015

0.02

0.025

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Fu

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LA

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Rivers Canals Bay Area Los

Angeles

Removed Nodes

Avera

ge P

ath

Len

gth

(Dash

ed

lin

e)

Cen

tral

Po

int

Do

min

an

ce

(So

lid

lin

e)

Effects of Cumulative Node Removal on

Dominance and Efficiency

Sources: Freeman (1977), Albert and Barabasi (2002), Latora and Marchiori (2001)

0

5

10

15

20

25

0

0.005

0.01

0.015

0.02

0.025

0.03

Fu

ll C

ALV

IN N

etw

ork

CA

Aq

ued

uct

Sacr

am

en

to

San

Jo

aq

uin

Feath

er

Fri

an

t-K

ern

Delt

a-M

en

do

ta

Delt

a

Hetc

h H

etc

hy A

q.

Mo

kelu

mn

e A

q.

LA

Aq

ued

uct

Co

lora

do

R. A

q.

Rivers Canals Bay Area Los

Angeles

Removed Nodes

Avera

ge P

ath

Len

gth

(Dash

ed

lin

e)

Cen

tral

Po

int

Do

min

an

ce

(So

lid

lin

e)

Effects of Cumulative Node Removal on

Dominance and Efficiency

Central Dominance and Efficiency

Tradeoffs: Breaking the Network

7 Sources: Freeman (1977), Albert and Barabasi (2002), Latora and Marchiori (2001)

Credit: CALVIN, UC Davis

Node Centrality:

Higher node centrality

indicates more critical

nodes

Node Proximity:

How close a node is

to surrounding nodes

in network structure

Smaller Networks: Bay Area

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High

Medium

Low

Node Centrality

Node Proximity

High

Low

Network Insights

• Identify system components

– Metrics and visualizations

• Important CALVIN links:

– Upstream Central Valley rivers & canals

– Central CA Aqueduct sections

– Sacramento River

– Friant-Kern & Delta Mendota

• Flexible approach

– Many models use links and nodes

Urban Aqueduct, Paris

Erik Porse Ph.D. Candidate + NSF REACH IGERT Trainee

University of California, Davis [email protected]

Oroville Dam