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Issues of Scale • Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global • Set how processes interact • Scale invariance

Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

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Page 1: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Issues of Scale

• Both time & space

– Time: waves, tides, day, year,

ENSO

– Space: local, regional, global

• Set how processes interact

• Scale invariance

Page 2: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Pacific Coastlin

e

1o latitude =111 km

Page 3: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

The Southern California Bight

Page 4: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

The Santa Barbara Channel

Page 5: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Scale Invariance

• “Details” appear the same at all scales

• Makes understanding of marine

processes difficult

– always somewhere else to look

• Idea of “fractal” geometry

Page 6: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Time Scales

• Time scales of variability runs from

minutes to decades

• Processes occur on particular scales

Surface waves = minutes

Wind forcing = days

Climate = decadal

Page 7: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Time & Space Scales

• Time & space scales are linked

by the processes driving them

• Large events correspond to long

time scales – T = f(X) (& vice

versa)

– Mass analogy

Page 8: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance
Page 9: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Time & Space Scales

• Time & space scales are linked

by the processes driving them

• Large events correspond to long

time scales – T = f(X) (& vice

versa)

– Mass analogy

Page 10: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Detail & Time Scale

• The time scale over which

processes are viewed influences

the details observed

• Example – SST in CA Current

Page 11: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

A Snapshot of CA Current

• April 1978

• AVHRR - SST

• CZCS Chlorophyll

• Spatial variations on

scales of 5-10 km

SSTChl

Page 12: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Annual Mean SST

Page 13: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Spatial Detail & Time Scale

• The time scale of assessment

influences the “details” observed

Long time averages – large scales only

Instantaneous – both small & large scales

• Time averaging removes small scale

variations – “the moving hand analogy”

Page 14: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Scales for Marine Organisms

• Marine organisms have inherent time &

space scales

– Time: life duration, life cycle, etc.

– Space: foraging, larval dispersion

• Different processes will interact with

marine organisms based upon their

scales

Page 15: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Life Cycles

Page 16: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Life Cycles

Larger is longer…

Larger have more (known) life stages

Page 17: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Larval Dispersion

From Kinlan & Gaines [2003]

Page 18: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Dispersion & Time in Plankton

From Siegel, Kinlan, Gaylord & Gaines [2003]

Plankton Larval Duration (days)

Gen

eti

c D

isp

ers

al Sca

le

(km

)

Page 19: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Scales for Marine Organisms

• The larger the organism the …

longer its life span

more life stages it has

but no real effects on dispersal distance

• Larval dispersal is function of time “in plankton”

• Larger organisms forage & migrate under their own

power & cover larger space scales

• These time scales will interact with physical &

biological time scales of the system

Page 20: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

So… can we use this???

•Extended Kelp-Urchin-Otter Food Web

– Add other factors

• Human harvest & regulation, climate, etc.

– Assess time & space scales

– Address management strategies

Page 21: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Otter-Kelp-

Urchin Food Web

Otters are the keystone predator of this food web

Orcas

Page 22: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Otter-Kelp-

Urchin Food Web

Removing otters affects food web structure

Page 23: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

OrcasHUMANSAdd Human Harvest

Page 24: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

OrcasHUMANS

Other Marine

Mammals

Add Other Mammals

Page 25: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

OrcasHUMANS

Other Marine

Mammals

Add Climate Change

Nutrient ’sdue to climate

Substrate ’sdue to climate

Page 26: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

OrcasHUMANS

Other Marine

Mammals

Add Oil Spill

Nutrient ’sdue to climate

Substrate ’sdue to climate

Page 27: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

What are the time & space scales for this

system?• Forcing of the base of food web is annual &

over large space scales

• Many organisms are long-lived – but may be nearly fixed in space (otters, kelp forests, etc.)

• Climate is ENSO to PDO scales again over large spatial scales

• Oil spills will happen suddenly over variety of space and time scales

Page 28: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

OrcasHUMANS

Other Marine

Mammals

Nutrient ’sdue to climate

Substrate ’sdue to climate

BIO

LOG

ICA

L TIM

E

Page 29: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

What are the time & space scales for this

system?• Anthropogenic factors follow “legislative time”

– Both harvest policies & marine mammal protection

– Transparency slows management policy changes

• How do fisheries adapt to changing scenarios?

– How do fishermen learn?

– Change in spatial & species targeting

– Build up new markets…

Page 30: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

How would you manage this system?

• What do you value?

Fishery income vs. charismatic megafauna vs.

recreational use vs. habitat biodiveristy vs. ???

• Know the interrelationship among causal

factors

• Follow the paths of food energy &

information

– Both are important

Page 31: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

Flow

Fish

Settlement

HabitatRecruitment

Harvest

RegulationFisherm

en

Market INFO

Climate

Flow, Fish & Fishing

Page 32: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

How would you manage this system?

• Where are the critical juncture points?

– Life history stage vs. keystone species vs. ???

• Play out coupled scenarios

– Most management today is single species

– Not ready for quantitative multi-species

management

– Need assessment of the couplings (even loosely)

• Adapt to change – but anticipate its arrival!!

Page 33: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

General Approach

• Focus on connections among

components

– Both food & information

• Know when & over which scale

connections are robust

• Monitor the important causal links

• Adapt to a changing world

Page 34: Issues of Scale Both time & space – Time: waves, tides, day, year, ENSO – Space: local, regional, global Set how processes interact Scale invariance

General Approach

• Focus on connections among

components

– Both food & information

• Know when & over which scale

connections are robust

• Monitor the important causal links

• Adapt to a changing world