The face that sank the Essex: potential function of the spermaceti organ in aggression
David R. Carrier*,
Stephen M. Deban and
Jason Otterstrom
Department of Biology, 201 South Biology Building, University of
Utah, Salt Lake City, UT 84112, USA

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Fig. 1. Diagram of the anatomy of the head of the sperm whale Physeter
macrocephalus. The relative size and position of the two oil-containing
compartments of the spermaceti organ, the spermaceti and junk, are shown in
relation to the skull. Modified from Clarke
(1979 ).
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Fig. 3. Diagram of measurements taken to determine relative melon area. The shaded
area is the lateral projected area of the melon. The index of body area is the
head depth times the body length, measured from the eye to the tip of the
flukes.
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Fig. 4. Independent contrast analysis of evolutionary change in relative melon area
and evolutionary change in sexual dimorphism in body length for 21 species of
cetacean. Positive values on the y-axis represent the evolution of an
increase in the lateral projected area of the melon relative to the lateral
projected area of the rest of the body. Negative values on the y-axis
represent the evolution of a decrease in the lateral projected relative area
of the melon. Positive values on the x-axis represent the evolution
of longer males relative to females and negative values represent the
evolution of shorter males relative to females. This result shows that species
that have evolved relatively larger males tend also to have evolved relatively
larger melons.
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Fig. 5. Graph of the modeled peak accelerations of the target and attack whales
during a collision at 3 m s-1 for different ratios of damping
constants. Each line extending from the origin illustrates the accelerations
that the model produced for a given ratio of damping constants for the tissue
and spermaceti dampers. The number beside each line is the ratio of the tissue
damping constant of the target whale to the spermaceti damping constant of the
attacking whale. The magnitude of damping increases as the lines extend from
the origin. As the ratio becomes larger, the accelerations experienced by the
target whale become larger relative to the accelerations of the attacking
whale. Twice the acceleration due to gravity (2g=19.6 m
s-2) is the estimated acceleration above which fatal injury is
likely to occur for a vertebrate the size of the modeled whales
(Farlow et al., 2000 ). Hence,
the area above the horizontal line represents accelerations that would
probably injure the target whale and but not the attacking whale. The filled
circle on the line for a damper constant ratio of 16 represents the damping
constants used for the sample acceleration traces shown in
Fig. 6.
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Fig. 6. Sample acceleration traces from the model of a collision of two 39 000 kg
sperm whales. The acceleration experienced by the target whale is shown with
the solid line and the acceleration experienced by the attacking whale is
shown by the dashed line. In this case, the ratio of the damping constants was
16 (2 040 480 N s m-1 for the tissue damper and 127 530 N s
m-1 for the spermaceti damper).
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© The Company of Biologists Ltd 2002