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4/20/2012
1
Marine Mammal Locomotion
Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
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2
Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
I. HYDRODYNAMICS
Properties of Water Affect Locomotion
• Mammals neutrally buoyant in H2O
– Gravity not important
• Resistance in H2O > resistance in air
– 800x denser
– 30x more viscous
• Drag (resistance) increases with velocity
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3
I. HYDRODYNAMICS
Drag:
= ½ r V2 A Cd
Physical force resisting forward motion
I. HYDRODYNAMICS
Swim Speed vs. Effort in Dolphins
(Yazdi et al. 1999)
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Types of Drag
I. HYDRODYNAMICS
1. Frictional Drag
4. Wave Drag 2. Form Drag
3. Induced Drag
Types of Drag
I. HYDRODYNAMICS
4. Wave Drag 2. Form Drag
3. Induced Drag 1. Frictional Drag
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1. Frictional Drag:
I. HYDRODYNAMICS
interaction of H2O with animal’s skin
- Important if animal small (i.e., plankton)
- Forces are tangent
Water is like syrup
1. Frictional Drag
Types of Drag
I. HYDRODYNAMICS
4. Wave Drag
3. Induced Drag
2. Form Drag
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displacement of H2O equal to animal’s frontal
surface area
I. HYDRODYNAMICS
2. Form Drag:
- Forces are perpendicular - Body shape is important
Turbulent
Laminar
Stre
amlin
ing
incr
ease
s
Large area of flow separation
Drag
Drag
Drag
Drag
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Turbulent vs. Laminar Flow
• Turbulent: water flow past skin comes off in eddies
= rough flow
I. HYDRODYNAMICS
Laminar flow minimizes drag, which minimizes energy used for swimming
• Laminar: water flow past skin flows in parallel streams
over entire body
= smooth flow
2. Form Drag
1. Frictional Drag
Types of Drag
I. HYDRODYNAMICS
4. Wave Drag
3. Induced Drag
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3. Induced Drag:
I. HYDRODYNAMICS
redirection of flow due to lift
- Increases with “angle of attack”
5O angle of attack
45O angle of attack
drag
drag
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3. Induced Drag:
I. HYDRODYNAMICS
redirection of flow due to lift
- Increases with “angle of attack” - Appendages maximize lift-to-drag ratio
3. Induced Drag
2. Form Drag
1. Frictional Drag
Types of Drag
I. HYDRODYNAMICS
4. Wave Drag
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I. HYDRODYNAMICS
energy lost while splashing at surface
4. Wave Drag:
- less drag when swim submerged
Surface
Submerged
Drag forces 4x higher at the surface!
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I. HYDRODYNAMICS
energy lost while splashing at surface
4. Wave Drag:
- less drag when swim submerged
- breath-holding at a premium
Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
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II. ENERGETICS
Cost of Transport
• Measure of efficiency of locomotion • COT = metabolic cost of moving 1 unit of body mass 1 unit distance at some speed (e.g., kJ / kg*m)
Met
abo
lic r
ate
Speed
Swimmer
Runner
II. ENERGETICS
Cost of Transport
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Predicted Optimal Range of Speed
for Dolphins
Yazdi et al. (1999)
II. ENERGETICS
Effect of Body Size on COT
(Full and Tu 1991)
II. ENERGETICS
Larger animals have lower relative locomotion costs
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Effect of
Phylogeny on
COT
(Full and Tu 1991)
II. ENERGETICS
Why is it higher?
Cost of ENDOTHERMY!
COT = metabolic rate / speed
II. ENERGETICS
Effect of
Locomotion Mode
on COT
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II. ENERGETICS
Effect of
Locomotion Mode
on COT
Bird
Fish
Mammal
This study was confounded by
phylogeny
All mammals
II. ENERGETICS
Effect of
Locomotion Mode
on COT
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Important to Minimize Drag
• Decrease cost of swimming
• Decrease oxygen consumption
• Swimming more efficient over evolutionary time
– Morphological changes in body shape & propulsive
surface area
– Mechanical changes in swim stroke
– Behavioral “tricks”
Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
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Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
III. MORPHOLOGY
Streamlining
- Reduces pressure drag - Measured using Fineness Ratio
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III. MORPHOLOGY
Fineness Ratio
– index of streamlining
– FR = body length / body diameter
– Optimum FR range = 3 – 7
– Ideal FR = 4.5
3.3 – 6.0
4.0 – 11.0
9.0+
Fineness Ratio
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Fineness Ratio
Northern right whale dolphin = 9 - 11
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III. MORPHOLOGY
Specialized appendages for propulsion
- Inter-digital webbing, to fins, to large SA flukes
- Increased surface area over evolutionary time
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Case Study:
Humpback Whales
• Longest flippers: 1/3 body length!
• Tubercles on leading edge
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Case Study:
Humpback Whales
• Longest flippers: 1/3 body length!
• Tubercles on leading edge
WHY?
http://videos.howstuffworks.com/planet-green/32998-g-word-gotta-be-the-tubercles-video.htm
Frank Fish discusses humpback whale tubercles and Whale Power
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Humpback Whales • Decreased drag
• Enhanced lift
• High maneuverability
III. MORPHOLOGY
- Turbulence is behind the animal
Propulsion moves from anterior to posterior
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III. MORPHOLOGY
- reduced cost of transport
Large body size
- Increased O2 stores + increased efficiency in O2
use = increased time submerged to minimize
wave drag
Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
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IV. SWIMMING MECHANICS
Continuous Propulsion
- Propel-recover-propel stroke cycle replaced by
propulsion over entire stroke cycle:
Dog paddling: ½ propulsion ½ recovery
Fluking: down and upswing of flukes
provide equal propulsive force
Polar Bear
•Not streamlined
- Form drag
•Forelimbs pull animal through water
(“crawl”), hind limbs trail behind
•Surface swimmer
–Wave drag
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Polar Bear
Sea otter
• Amphibious
• Pelvic paddle and pelvic undulation
• Surface swimmer -wave drag
• Somewhat streamlined (FR = 6)
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Sea otter
Otariids • Foreflipper locomotion
• Highly stable at low speeds
• FR = 3 – 6 (optimal range)
• Propulsion through most of cycle
• Highly maneuverable
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Otariids
Phocids,Cetaceans, Sirenians
• Thunniform Mode of Swimming:
2. Dorso-ventral = up-down (Cetaceans & Sirenians)
1. Lateral = side-to-side (Phocids)
- Propulsion from posterior ½ to ⅓ of body
- Constant propulsion
- Two Types:
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Phocids
Cetaceans & Sirenians
Phocids
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Sirenians (and Cetaceans)
Pinniped terrestrial locomotion
Phocids: • body undulations
(mostly vertical, some ice seals lateral) • do not use hind flippers
Otariids: • walk on all 4 limbs • reflect hind limbs forward
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Pinniped terrestrial locomotion
Power vs. Maneuverability
IV. SWIMMING MECHANICS
Trade-off: What makes you fast also makes you less maneuverable
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Stability Factors
1. Control surfaces located far
from center of gravity
2. Concentration of control
surface area posterior of
center of gravity
3. Anterior position of center
of gravity
4. Dihedral of control surfaces
5. Sweep of control surfaces
6. Reduced motion of control
surfaces
7. Reduced flexibility of body
- More “stable” design
- More powerful (fast)
- More efficient at fast speeds
- Much more maneuverable!
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Power vs. Maneuverability
IV. SWIMMING MECHANICS
Trade-off: What makes you fast also makes you less maneuverable
Power vs. Maneuverability
IV. SWIMMING MECHANICS
Trade-off: What makes you fast also makes you less maneuverable
How does a dolphin catch a fish??
Fish should be able to out-maneuver the fast but rigid dolphin
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34
100
1000
10000
0.001 0.01 0.1 1
Dolphins 20% (this study)Fish 20%Dolphins 20% (Fish, 2002)
Tu
rnin
g r
ate
(o/s
ec)
r/LTurning radius (r/L)
dolphins (Fish 2002)
prey fish
(Maresh et al. 2004)
“Pinwheeling”
- Previous studies looked at maneuverability from the perspective of the animal’s center of gravity
- Flexibility around the rostrum more ecologically relevant measure of maneuverability
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100
1000
10000
0.001 0.01 0.1 1
Dolphins 20% (this study)Fish 20%Dolphins 20% (Fish, 2002)
Tu
rnin
g r
ate
(o/s
ec)
r/L
dolphins (Fish 2002)
prey fish
Turning radius (r/L)
dolphins (Maresh et al. 2004)
?
Case Study:
Spinner Dolphins
WHY?
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Case Study:
Spinner Dolphins
• Acoustic communication
• Precise ranging and bearing of schoolmates
• Dominance
• Courtship
• Remora dislodgment
Theories include:
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Challenges I. Hydrodynamics II. Energetics
Adaptations
III. Morphology IV. Swimming Mechanics V. Behavior
LOCOMOTION
V. BEHAVIOR
Increased time submerged
- Drag can increase
4X when swimming at
surface
- Effect of wave drag
disappears at 3 – 4
body lengths beneath
surface
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V. BEHAVIOR
Swimming at Optimal Speeds
– “Cruising” speed: 2.0 – 3.0 m/s
– Olympic swimmer max: 2.3 m/s
– Marine mammal max “sprint” speed varies
Marine mammal swim speeds
Cruise speeds
Sprint speeds
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V. BEHAVIOR
Porpoising at high speeds
• Have to surface to breathe
• Cost due to wave drag
• Less drag in the air than in water (less dense)
V. BEHAVIOR
Stroke-and-Glide Swimming
•Stroking costs energy
• Gliding is “free”
• Gliding takes advantage of natural changes in buoyancy with depth
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V. BEHAVIOR
Wave (or “Wake”) Riding Bow Riding
Catching a Free Ride
Bow Riding
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Wave Riding Dolphins
Heart Rate
Lactic Acid
Respiration Rate
- Used by immature cetaceans
-“Free ride” from mother’s wake • Calf can swim farther and faster
V. BEHAVIOR
Catching a Free Ride
Echelon Position
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Case Study:
Eastern Tropical Purse-Seine Tuna Fishery
Case Study:
Eastern Tropical Purse-Seine Tuna Fishery
- High-speed, long-duration chase
- Historically high dolphin by-catch
- Back-down procedure minimized by-catch
- Populations not recovering …WHY?
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Case Study:
Eastern Tropical Purse-Seine Tuna Fishery
- 75 – 95% of lactating females caught in nets unaccompanied by calves
= Calves cannot achieve and sustain chase speeds
Mom’s evasive behavior + disruption of echelon + calf underdevelopment
Noren et al. 2010
Case Study:
Eastern Tropical Purse-Seine Tuna Fishery
- Dolphin chase: 20 min at 3 m/s
- Escape: 100 min at 3 m/s
RESULT: Mother and calf separated by over 20 km
Noren et al. 2010
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http://www.arkive.org/polar-bear/ursus-maritimus/video-06b.html Watch this video of polar bear swimming:
Watch how sea otters swim:
http://www.arkive.org/sea-otter/enhydra-lutris/video-ne08a.html
http://www.arkive.org/sea-otter/enhydra-lutris/video-ne00.html
http://www.arkive.org/galapagos-sea-lion/zalophus-wollebaeki/video-wo00.html
http://www.arkive.org/galapagos-sea-lion/zalophus-wollebaeki/video-wo06b.html
http://www.arkive.org/galapagos-sea-lion/zalophus-wollebaeki/video-wo08a.html
FAST
http://www.arkive.org/guadalupe-fur-seal/arctocephalus-townsendi/video-00.html
Watch Otariid swimming:
SLOW
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Phocid swimming:
http://www.arkive.org/weddell-seal/leptonychotes-weddellii/video-08.html
http://www.arkive.org/brown-fur-seal/arctocephalus-pusillus/video-09b.html
Walking Otariid: Phocidulating Phocid: http://www.arkive.org/common-seal/phoca-vitulina/video-06.html
http://www.arkive.org/spinner-dolphin/stenella-longirostris/video-lo12b.html
Spinner dolphin aerial spins:
Bow riding:
http://www.arkive.org/hectors-dolphin/cephalorhynchus-hectori/video-00.html
Dugong swimming:
http://www.arkive.org/dugong/dugong-dugon/video-06.html http://www.arkive.org/dugong/dugong-dugon/video-03.html