foraging - amherst.edu · optimal foraging theory (oft) foragers cannot handle >1 prey at once...

27
Foraging

Upload: others

Post on 13-May-2020

24 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Foraging

Page 2: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Cost/benefit analysis

to generate

predictions regarding

behavior

Optimal foraging theory (OFT)

What should an animal eat?

Where should an animal eat?

Page 3: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Cost/benefit analysis

to generate

predictions regarding

behavior

Optimal foraging theory (OFT)

Foragers cannot handle >1 prey at once

Prey are recognized instantly

Prey are encountered sequentially

Foragers maximize rate of energy intake

Page 4: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Optimal foraging theory (OFT)

E/T for prey type 1 = Ts λ1 e1

Ts + Ts λ1 h1

Maximize energy per unit time (E/T)

T = total time

Ts = search time

λ = encounter rate

h = handling time

Total prey

type 1 captured

Total search time Handling time given search

Page 5: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Optimal foraging theory (OFT)

E/T for prey type 1 = λ1 e1

1 + λ1 h1

Maximize energy per unit time (E/T)

T = total time

Ts = search time

λ = encounter rate

h = handling time

Page 6: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

A bird in the hand…

Imagine two prey types, 1 and 2

e2/h2 < e1/h1

What should an animal do

if it encounters prey 1? Eat it!

What should an animal do

if it encounters prey 2? It depends…

Page 7: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

A bird in the hand…

What should an animal do

if it encounters prey 2? It depends…

Predictions

1. If true, eat only prey 1 (specialize)

2. If not true, take both prey 1+2 (generalize)

λ1e1

1 + λ1h1

> λ1e1 + λ2e2

1 + λ1h1 + λ2h2

Page 8: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Predictions

3. Decision to specialize is based on

encounter rate of prey 1

4. Threshold level

λ1 > e2

e1h2 – e2h1

A bird in the hand…

Page 9: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Sir John Krebs

Empirical evidence for prey models

great tit

Page 10: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Empirical evidence for prey models

Bluegill predator

Daphnia prey (left)

Prey size class (I = largest)

Prey actually consumed

Prey predicted based on availability

Low

pre

y

density

Hig

h p

rey

density

Hig

h p

rey

density

Page 11: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Meadow vole

Short-tailedshrew

House mouse

White-footedmouse

Others

Meadow vole

Short-tailedshrew

House mouse

White-footedmouse

Others

Prey eaten Prey available

Prey consumed according to

profitability, not simply encounter rate

Prey models

Page 12: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Prey easy to find,

hard to catch:

should specialize

Prey hard to find,

easy to catch:

should generalize

Prey models

Some general predictions:

Page 13: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Foragers cannot handle >1 prey at once

Prey are recognized instantly

Prey are encountered sequentially

Foragers maximize rate of energy intake

Prey models

How to minimize search time?

Page 14: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Search image = cognitive representation of prey type

Search images

Aid in avoidance

of noxious prey

Page 15: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Increasing prey profitability

How to maximize e/h? Decrease h!

22 appendages

25,000 Eimer’s organs

100,000 neurons

(6x that of human hand)

star-nosed mole

Page 16: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

How to reduce handling time

Page 17: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

How to reduce handling time

cortical magnification: area of

somatosensory cortex per sensory organ

Page 18: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Less than ¼ of a second

to identify and handle prey

Moles like fast food

Page 19: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Ken Catania

Moles like fast food

Page 20: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

What should a mole do

if it encounters prey 2? Eat it!

λ1e1

1 + λ1h1

> λ1e1 + λ2e2

1 + λ1h1 + λ2h2

Predictions

1. If true, eat only prey 1 (specialize)

2. If not true, take both prey 1+2 (generalize)

Handling times

for small prey

are negligible

The optimal mole

Page 21: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Where to forage?

Prey found in patches

Patches distributed in habitat

Page 22: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Patch time

Energ

y g

ain

Patch models

How long should an

animal stay in a patch?

Depends on the distance

between patches

Page 23: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Patch time

Energ

y g

ain

Travel time to

next patch

long short

optimal patch times

Patch models: marginal value theorem

Page 24: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Empirical evidence: marginal value theorem

Mantid predator

House fly prey

Page 25: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Empirical evidence: marginal value theorem

great tit

Page 26: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

Central place foragers

violate patch laws

Exceptions to OFT

Collect loads

before returning

to central place

chipmunk

Page 27: Foraging - amherst.edu · Optimal foraging theory (OFT) Foragers cannot handle >1 prey at once Prey are recognized instantly Prey are encountered sequentially Foragers maximize rate

parasitoid wasp

Sub-optimal foraging

in Atta ants?

Constraints limit optimal foraging

Exceptions to OFT