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First published online August 17, 2006
Journal of Experimental Biology 209, 3269-3280 (2006)
Published by The Company of Biologists 2006
doi: 10.1242/jeb.02402
Body density affects stroke patterns in Baikal seals

1 Ocean Research Institute, The University of Tokyo, 1-15-1 Minamidai,
Nakano, Tokyo 164-8639, Japan
2 Limnological Institute, Siberian Division, Russian Academy of Sciences,
Ulan-Batorskaya Street 3, Irkutsk 664033, Russia
3 International Coastal Research Center, Ocean Research Institute, The
University of Tokyo, 2-106-1 Akahama, Otsuchi, Iwate 028-1102,
Japan
4 National Institute of Polar Research, 1-9-10, Kaga, Itabashi, Tokyo
173-8515, Japan
* Author for correspondence (e-mail: yuuki{at}ori.u-tokyo.ac.jp)
Accepted 22 June 2006
| Summary |
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Key words: buoyancy, diving, swimming, body composition, body density, data logger, Baikal seal, Phoca sibirica
| Introduction |
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![]() | (1) |
where B is buoyancy in N,
water and
animal are the density (in kg m-3) of the
surrounding water and the animal, respectively, V is the volume of
the animal in m3, and g is the acceleration of
gravity (=9.8 m s-2). The vertical force will be positive (i.e.
directed upward) if
water is higher than
animal, and negative if
water is lower than
animal. Animals that are positively or negatively buoyant must
expend extra energy when they move in the direction opposite to this force,
while they may save energy when moving in the same direction as this force.
Consequently, buoyancy plays a significant role in the energy budget of diving
birds (Stephenson et al.,
1989
; Lovvorn et al.,
1991
; Stephenson,
1994
) and probably of other diving animals. Diving animals must
therefore deal with buoyancy during the course of their daily diving
activities.
To understand how and when free-ranging diving animals work with or against
buoyancy, it is necessary to monitor stroking activity of the animals during
dives. This is now possible with the development of animal-borne
accelerometers (Nowacek et al.,
2001
; Sato et al.,
2002
; Sato et al.,
2003
; van Dam et al.,
2002
; Watanuki et al.,
2003
; Watanuki et al.,
2005
; Watanuki et al.,
2006
; Lovvorn et al.,
2004
; Miller et al.,
2004
; Goldbogen et al.,
2006
; Kato et al.,
2006
), video cameras (Williams
et al., 2000
; Williams et al.,
2004
; Davis et al.,
2001
) and magnetic sensors (Wilson and Liebsch, 2002;
Hays et al., 2004
). These
studies have shown that animals employ diverse stroke patterns across taxa
according to their own buoyancy. Seals, for example, tend to adopt prolonged
glides helped by negative buoyancy during descent, and ascend with more
continuous stroking (Williams et al.,
2000
; Davis et al.,
2001
; Sato et al.,
2003
). On the other hand, diving birds
(Sato et al., 2002
; Wilson and
Liebsch, 2002; Watanuki et al.,
2003
; Watanuki et al.,
2005
; Watanuki et al.,
2006
; Kato et al.,
2006
) and some whales (Nowacek
et al., 2001
; Miller et al.,
2004
) counteract positive buoyancy during descent by stroking, and
use passive glides during ascent.
In marine mammals,
animal is mainly determined by the
relative amount of lipid and lean tissue since they have substantial amounts
of blubber. While lean tissue is denser than water, lipid tissue is less
dense, and animals with a large proportion of lipid will therefore have lower
animal and be more buoyant
(Webb et al., 1998
;
Beck et al., 2000
;
Biuw et al., 2003
). The effect
of air on
animal should be minor in deep diving phocid seals,
because, unlike fur seals (Hooker et al.,
2005
) and cetaceans (Ridgway
et al., 1969
), they are thought to exhale before diving
(Falke et al., 1985
). The
effect of air on
animal is also reduced by compression at
depth (Biuw et al., 2003
).
Because
animal can vary individually and seasonally as animals
store energy in the form of lipid, this variability of
animal
would be expected to affect stroke patterns of individuals during dives. For
instance, differences in stroke patterns across individuals were reported for
Weddell seals Leptonychotes weddellii
(Sato et al., 2003
) and sperm
whales Physeter macrocephalus
(Miller et al., 2004
). While
Miller et al. had no information on fatness for each whale studied, Sato et
al. reported that fatter seals (determined by the index calculated as axillary
girth/standard length) predominantly showed stroke-and-glide swimming on
descent, and that leaner seals were able to glide throughout most of this
descent phase. However, the effect of
animal on
inter-individual stroke patterns remains largely hypothetical because it was
somewhat obscured in the previous work
(Sato et al., 2003
) by the
fact that pitch (i.e. angle between long axis of animal's body and water
surface) of some seals was restricted to less than 30° by the location of
breathing holes in the ice and the slope of local bathymetric features.
Buoyancy is a vertical vector and the magnitude of its component on the
swimming direction is the magnitude of buoyancy weighted by sin(pitch). The
effect of buoyancy on stroke patterns should therefore be less evident at
shallower pitch.
In this study, we conducted two experiments to test the hypothesis that
animal affects stroke patterns in seals. In experiment 1, we
attached acceleration data loggers to three Baikal seals Phoca
sibirica to investigate the possible inter-individual variability of
stroke patterns for the species. Lake Baikal was not covered by ice during the
study periods, and the lake has a steep bathymetric slope in our study areas.
Pitch of our seals was therefore not restricted by access to a breathing hole
or by bathymetry. After validating the variability of stroke patterns among
the individuals, we conducted experiment 2, where we attached a lead weight to
one seal in addition to the acceleration logger. The weight was jettisoned
after a predetermined time period so that for the same individual we had a set
of observations of stroking activity under normal conditions (unweighted
condition, lower
animal) and under artificially increased body
density (weighted condition, higher
animal). If our hypothesis
is correct, we would expect the seal to exhibit different stroke patterns
between the two conditions; the seal in the weighted condition should adopt
prolonged glides more readily in descent and stroke at higher rate in ascent,
compared with the unweighted condition.
| Materials and methods |
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Instruments
To examine diving behavior of the seals, we used two types of multi-sensor
data loggers: UWE1000-PD2GT (22 mm in diameter, 124 mm in length, 92 g in air;
Little Leonardo Co., Tokyo, Japan) and W1000L-3MPD3GT (26 mm in diameter, 175
mm in length, 135 g in air; Little Leonardo Co.). PD2GT was used for
Individuals 1 and 2 (experiment 1) to record swimming speed, depth and
temperature at 1 s intervals, and 2-D accelerations (for detecting flipper
movement and pitch) at 1/16 s intervals, with a memory of 32 Mb. 3MPD3GT was
used for Individual 3 (experiment 1) and Individual 4 (experiment 2) to record
swimming speed, depth, temperature and 3-D geomagnetism at 1 s intervals, with
a memory of 512 Mb. 3-D accelerations were also recorded at 1/16 s and 1/32 s
intervals for Individual 3 and 4, respectively. The maximum range of the depth
sensor was 1000 m with a resolution of 0.24 m for all instruments. In addition
to the multi-sensor loggers, we attached a digital still-picture logger
(DSL-380DTV: 22 mm in diameter, 138 mm in length, 73 g in air; Little Leonardo
Co.) to each seal. Because this study was focused on stroke patterns of the
seals, we did not use geomagnetic data obtained from the 3MPD3GT or still
picture data recorded by the DSL.
The total weight of the instruments deployed on Individuals 1 and 2, including devices for data recovery (such as float and VHF transmitter; see below), was 360 g in air and its buoyancy offset 110 g in water. The system used for Individuals 3 and 4 weighed 370 g in air and its buoyancy offset 85 g in water. Additional drag due to the instrument is considered in Discussion.
In experiment 2, we deployed a lead weight in the shape of a flat plate with rounded corners (10 cm long x 9 cm wide x 1.5 cm deep, 1.45 kg in air) just behind the loggers on the seal's back. The weight was automatically detached 24 h after deployment by a time-scheduled release mechanism (Little Leonardo Co.; see below), while the loggers were released from the animal after 72 h for data recovery.
Data recovery
Our animal-borne data loggers require physical recovery for data retrieval
but the recapture of instrumented Baikal seals in Lake Baikal is almost
impossible (Baranov, 1996
). We
therefore used an automatic time-scheduled release system
(Watanabe et al., 2004
) that
allows the loggers to be located and retrieved using VHF radio signals.
Recapture of seals is therefore not necessary. The data loggers were attached
to a float of copolymer foam (Nichiyu Giken Kogyo Co., Saitama, Japan), in the
top of which a VHF radio transmitter with a 45 cm semi-rigid wire antenna
(Advanced Telemetry Systems Inc., Isanti, MN, USA) was embedded [see
fig. 1 in
(Watanabe et al., 2004
)]. A
plastic cable connected to a time-scheduled release mechanism (Little Leonardo
Co.) bound the package to an aluminum plate, which was glued onto the seals
with a quick-setting epoxy resin (ITW Devcon Co., Osaka, Japan). The release
mechanism included a timer that was activated 24 h and 72 h after attachment
for experiment 1 and 2, respectively. Once the release mechanism had been
activated, the plastic cable was severed by an electric charge from the
battery of the device, and the whole buoyant package was released from the
seal. Once the package had floated to the surface of the lake it could be
located via VHF radio-signals using a receiver and a 4-element Yagi
antenna (Ham Center Sapporo Co., Hokkaido, Japan). A reward was offered for
the return of the package to facilitate recovery in case we failed to locate
it. The same release mechanism was used to detach the lead weight from the
seal after 24 h in experiment 2.
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Depth data analysis
Based on the sensor's absolute accuracy, a dive was defined as any
excursion below the surface to a depth of >2 m. To examine the stroke
pattern of the seals while descending and ascending, each dive was subdivided
into a descent phase (from the beginning of a dive to the time of the first
ascent), an ascent phase (from the time of the last descent to the end of the
dive), and a bottom phase (the time between the end of descent and beginning
of ascent). The expression `dive depth' hereafter refers to the maximum depth
reached during a dive.
Acceleration data analysis
The PD2GT and 3MPD3GT loggers use 2-axis (sway and surge) and 3-axis (sway,
surge and heave) acceleration sensors, respectively, that measure both dynamic
acceleration (such as propulsive activities) and static acceleration (such as
gravity or pitch).
Swaying accelerations often contained low frequency variations that were
assumed to be the result of various turning and rolling movements by the
seals. These were separated using the highpass filter function of the software
application IGOR Pro (WaveMetrics Inc., Lake Oswego, OR, USA) to extract the
information on flipper stroking activity. To select an appropriate filter
band, we calculated the power spectral density of each swaying acceleration
record using a Fast Fourier Transformation with IGOR Pro. This calculation
showed a clear trough between two peaks at 0 Hz and each seal's dominant
stroke frequency (0.6-1.3 Hz). The trough bands (0.75, 0.69, 0.44 and 0.75 Hz
for Individuals 1, 2, 3 and 4, respectively) were used for filtering. The
filtered accelerations were then smoothed using IGOR Pro (binomial smoothing,
10 passes) to remove noise at frequencies above the stroke rate, and the
remaining peaks and troughs with absolute amplitudes greater than a set
threshold were considered to represent individual strokes
(Sato et al., 2003
). The
threshold was determined for each individual (0.2, 0.4, 0.3 and 0.5 m
s-2 for Individuals 1, 2, 3 and 4, respectively) after visual
inspection. Both a peak and a trough correspond to a single flipper stroke
(i.e. left-to-right or right-to-left). Flipper stroke rate (s-1)
during descent and ascent was calculated from the total number of strokes
divided by the duration of each phase (ascent and descent) for each dive.
When a seal is still or moving at a constant speed, surging accelerations
will change with the component of gravity along the body axis of the seal,
allowing pitch to be calculated. However, surging accelerations are also
affected by flipper driven forward movements
(Tanaka et al., 2001
;
Yoda et al., 2001
).
High-frequency variations in the surging acceleration record are believed to
be caused by flipper movements, and are therefore associated with forward
movements (Sato et al., 2003
).
By filtering out these high-frequency signals from the surging acceleration
using a low-pass filter (IGOR Pro), with the same threshold as that used for
swaying accelerations, the animal's pitch was calculated. Descents are
represented as negative pitch while ascents are indicated by positive pitch
values.
Speed calibration
Relative swimming speed through water was recorded as the number of
rotations per second (rev s-1) of an external propeller mounted at
the anterior end of the loggers. The rotation value was converted to actual
swimming speed (m s-1) using the calibration method
(Sato et al., 2003
). Briefly,
we plotted propeller rotations (rev s-1) against the speed
calculated from depth change and pitch
(Ucal=Uver/sin|
|)
for each second, where Uver is vertical speed determined
from the depth recorder and
is pitch of the seal. Then we used linear
least-squares regression to obtain swimming speed from a given propeller
rotation. This method is more reliable for steeper pitch, and hence we used
only sin|
|>0.9 in our calculations. Correlation
coefficients were 0.959, 0.958, 0.890 and 0.950 with N of 15479,
9592, 40881 and 34472 for Individuals 1, 2, 3 and 4, respectively. Resolutions
of swimming speed, which correspond to one rotation of the propeller, were
0.069, 0.066, 0.020 and 0.019 m s-1 for Individuals 1, 2, 3 and 4,
respectively. Rotation values of rev s-1 were not converted to
swimming speed when they were lower than the stall rev s-1 of the
logger, determined experimentally to be 0.3 m s-1.
Selection of dives for stroke pattern analysis
After reporting general dive variables (i.e. dive depth, dive duration and
surface duration), we selected dives for further analysis and examined the
effect of buoyancy on stroke patterns, according to the following two
criteria. (1) Mean absolute value of pitch in descent and ascent should be
>30°. At this pitch, the magnitude of the component of buoyancy vector
along the swimming direction is the magnitude of buoyancy weighted by more
than sin(30°)=0.5, and the effects of the force on stroke patterns should
therefore be more evident. (2) The depth at both the end of descent and start
of ascent should be >15 m, because stroke rate in descent or ascent is not
reliable for dives with very short descent or ascent phases.
Calculation of drag coefficient
Besides buoyancy, mobile aquatic organisms are affected by drag. Because
the objective of experiment 2 was to investigate the possible effect of body
density, or buoyancy, on stroke patterns, it is important to know whether drag
differed between the weighted and the unweighted conditions. This was achieved
by calculating drag coefficients from deceleration rates during horizontal
glides (Clark and Bemis, 1979
;
Bilo and Nachtigall, 1980
;
Videler and Kamermans, 1985
;
Williams and Kooyman, 1985
;
Feldkamp, 1987
;
Stelle et al., 2000
;
Ribak et al., 2005
).
We randomly extracted a total of 200 deceleration phases (100 for each
condition) from the periods when the seal swam horizontally (determined from
the depth recorder) using the stroke-and-glide method during the bottom phases
of dives (Fig. 1). Drag
(D) in N was calculated from deceleration rate as:
![]() | (2) |
where mseal is mass of Individual 4 for the weighted
(46.65 kg) and unweighted (45.2 kg) condition, respectively, and
me is a multiplier for entrained water attached to the
surface of the seal (total
mass=msealme). The value for
me was set to 1.06 based on the measure for a prolate
spheroid of fineness ratio 5.0 (Skrovan et
al., 1999
; Miller et al.,
2004
). Ut and Ut+1 are
swimming speeds (m s-1), with a resolution of 0.019 m
s-1, at t and t+1 (s), respectively, and were
averaged to describe the mean glide speed (U). Drag coefficient
(Cd), based on frontal area, was then given by:
![]() | (3) |
where
water is water density (1000 kg m-3; note
that Baikal seals are freshwater seals). Af is the frontal
area of the seal (0.0911 m2) calculated from the girth measurement,
assuming that seals are circular in cross section. Cd is
reported with Reynolds number (Re)=LU/
, where L
is total length of the seal (1.24 m) and
is kinematic viscosity of
freshwater at the mean water temperature of 5°C measured by the logger
[1.520x10-6 m2 s-1
(Anon, 2004
)].
Cormorants swim at shallow depth in a tank with their body angled to the
swimming direction to counter positive buoyancy, and the tilt of the body
increases the drag coefficients (Ribak et
al., 2005
). In this study, we assumed that seals have no `angle of
attack' during horizontal glides. Though this assumption might not be entirely
correct, the effect should be small because the seal was probably close to
neutral buoyancy at the depths where we extracted horizontal glides (Weighted,
23.7±6.3 m; Unweighted, 36.1±5.8 m).
Terminal speed and body density
An object sinking through water with negative buoyancy will eventually
reach its terminal speed (i.e. the speed at which drag equals the magnitude of
the negative buoyancy), which depends on the density of the object. We tested
if seals reached their terminal speeds during prolonged glide in descents, to
determine if the body density of seals could be calculated from the measured
speed.
Consider a seal with a body density of
seal descending by
prolonged glide at a pitch of
. At the theoretical terminal speed
(Uter), drag equals the magnitude of negative buoyancy
weighted by sin|
|:
![]() | (4) |
The equation represents the relationship between two unknown variables,
Uter and
seal. A model simulation was
conducted under several theoretically possible values of
seal
(1000-1050 kg m-3) with a variable of
measured every
second. The simulated speeds were then compared with the measured speed. If a
simulation run with an appropriate value of
seal, determined
by least-squares method, gave a Uter that fit with speed
measured during the course of the prolonged glide, then we knew the seals were
at terminal speed for that measured speed. We could then use the measured
speed (as Uter) and
to calculate the seal's actual
seal for each glide. Residual air in the lung will have a
significant influence on our predictions of
animal, but this
bias is substantially reduced at greater depths because of the exponential
decrease in air volume with increasing depth
(Biuw et al., 2003
). We
therefore excluded speeds and pitches measured at depths <100 m from our
calculations. Strictly speaking, gliding seals should generate lift to
maintain
, and induced drag, the consequence of producing lift
(Vogel, 1994
), should be
included on the left in Eqn 4. However, we were not able to include it due to
lack of information on how these seals produce lift. The consequence of this
simplification is considered in `Discussion'.
Statistical analysis
Statistical analysis was performed using Stat View (SAS Institute Inc.,
Cary, NC, USA). Values for statistical significance were set at
P<0.05. Means (± s.d.) are reported.
| Results |
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The number of dives meeting the depth and pitch selection criteria for stroke pattern analysis was 104, 70, 94 for Individual 1, 2 and 3, respectively, in experiment 1. The seals demonstrated different patterns in terms of stroke rate in descent and ascent (Figs 2, 3). Individuals 1 and 3 had significantly lower stroke rates in descent (Individual 1, 1.45±0.45 s-1; Individual 3, 0.26±0.16 s-1) than ascent (Individual 1, 1.82±0.18 s-1; Individual 3, 1.03±0.28 s-1; Wilcoxon test, P<0.0001 for Individuals 1 and 3), while Individual 2 had significantly higher stroke rate in descent (1.81±0.29 s-1) than ascent (1.20±0.28 s-1; Wilcoxon test, P<0.0001). Individual 3 glided throughout most of the descent phases, resulting in remarkably low stroke rate in descent.
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Drag, calculated from deceleration rates during horizontal glides, and mean glide speed ranged from 1.0 to 9.4 N and from 0.57 to 1.35 m s-1 (N=100), respectively, for the weighted condition, and from 1.4 to 8.1 N and from 0.60 to 1.27 m s-1 (N=100), respectively, for the unweighted condition. There was no significant difference in drag coefficient based on frontal area between the weighted (0.11±0.029 at Re of 8.7±1.3x105) and unweighted (0.11±0.019 at Re of 8.8±1.0x105) condition (Mann-Whitney U-test, P=0.55). We used a Cd value of 0.11 for calculation of terminal speed and body density (Eqn 4).
The number of dives meeting the depth and pitch selection criteria for stroke pattern analysis was 73 and 109 for the weighted and unweighted condition, respectively, in experiment 2. Examples of stroke patterns of the seal weighted and unweighted are shown in Fig. 4. Descent stroke rate was significantly lower for the weighted (0.26±0.23 s-1) than unweighted (0.93±0.36 s-1) condition (Mann-Whitney U-test, P<0.0001). Ascent stroke rate was significantly higher for the weighted (2.36±0.11 s-1) than unweighted (1.53±0.19 s-1) condition (Mann-Whitney U-test, P<0.0001; Fig. 3).
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Two patterns of swimming mode usage were observed during descent: in some
dives, the seal adopted stroke-and-glide throughout the descent
(Fig. 4B), while in other
dives, stroke-and-glide was employed at the beginning of the descent but a
prolonged glide was adopted for the reminder of the descent
(Fig. 4A,C,D). The latter
pattern will be referred to as merely `prolonged glide' in this paragraph. In
prolonged glides, glide phases started at significantly shallower depths in
the weighted (9.9±4.0 m, N=70 dives) than the unweighted
(49.8±17.0 m, N=36 dives) condition (Mann-Whitney
U-test, P<0.0001). We grouped dives into 50 m bins based
on dive depths to show the occurrence of stroke-and-glide and prolonged glides
during descent (Fig. 5). In the
weighted condition, the seal adopted prolonged glide significantly more
frequently than the unweighted condition in dives of <150 m
(
2 test; P<0.0001 for 0-50 m and 50-100 m,
P<0.005 for 100-150 m). In dives of 150-200 m, the seal adopted
prolonged glide in all dives in the weighted condition and in most of dives (5
out of 6) in the unweighted condition, and the difference was not
statistically significant (
2 test, P=0.095). In dives
of >200 m, the seal always adopted prolonged glide, regardless of whether
it was in the weighted or unweighted condition. When ascending, the seal
adopted either stroke-and-glide (Fig.
4B,D) or continuous stroking
(Fig. 4A,C) throughout the
period. In the weighted condition, the seal adopted continuous stroking in a
significantly higher proportion of dives than in the unweighted condition in
all depth bins except 200-250 m and 300-350 m, where no dives were recorded in
the weighted condition (
2 test; P<0.0001 for 0-50
m, 50-100 m and 100-150 m, P<0.01 for 250-300 m;
Fig. 5).
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| Discussion |
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Dive durations are especially important since Baikal and Weddell seals are
the two phocid species for which the aerobic dive limit [ADL, i.e. the dive
duration beyond which metabolism becomes anaerobic and post-dive lactate
concentration increases above the resting level
(Kooyman, 1985
)], has been
directly measured [Baikal seals (Ponganis
et al., 1997
); Weddell seals
(Kooyman et al., 1980
;
Kooyman et al., 1983
;
Burns and Castellini, 1996
)].
The measured ADL of Baikal seals is 15 min, and only two of the total 740
dives (0.3%) in this study exceeded that. This supports the conclusion from
Weddell seal studies that even long-duration and deep-diving phocids rely on
aerobic metabolism in the great majority of the diving time (for a review, see
Kooyman and Ponganis, 1998
).
However, it should be noted that Ponganis et al. measured plasma lactate
concentrations of Baikal seals after the animals had been submerged in a 3
m-deep tank rather than after dives in Lake Baikal
(Ponganis et al., 1997
).
Submersion in the tank should be less costly than dives in the lake and hence
the ADL measured by Ponganis et al. of 15 min is probably longer than for
seals diving in the lake under natural conditions.
Stroke patterns
In experiment 1, we showed that Baikal seals used variable stroke patterns
across individuals in terms of stroke rate in descent and ascent; Individuals
1 and 3 had lower stroke rates in descent than ascent while Individual 2 had
higher stroke rates in descent than ascent
(Fig. 3). A similar result was
reported for sperm whales; some individuals stroked more in descent than
ascent but others stroked less in descent than ascent
(Miller et al., 2004
).
Intra-specific variabilities of stroke patterns were also reported for Weddell
seals (Sato et al., 2003
).
They suggest that the patterns were affected by the relative fatness of the
seals: thinner animals having lower stroke rates in descent than ascent and
fatter ones having higher stroke rates in descent than ascent. Our second
experiment using a lead weight with a jettison system provides direct evidence
that body density (which in phocids is largely a function of the relative
proportions of lean and lipid tissue) affects stroke patterns in seals. In
experiment 2, we showed that the seal changed its stroke pattern when the lead
weight was detached; stroke rate in descent increased and that in ascent
decreased (Fig. 3). Given that
having the lead weight simulates a reduction in fatness by increasing the
total body density, the observed changes in stroke rate due to the jettison of
the weight are consistent with the relationship between stroke patterns and
fatness in Weddell seals (Sato et al.,
2003
). Unlike Sato et al., we examined the difference in stroke
patterns within an individual by artificially altering its body density, hence
avoiding any confounding effects caused by differences in body size or other
individual characteristics.
It is important to point out that the change in stroke rate arose mainly
from a change in swimming modes. While in the weighted condition, the seal
adopted prolonged glide during descent and continuous strokes during ascent.
While in the unweighted condition, the seal used stroke-and-glide swimming
throughout its descent and ascent, except for deeper dives (>150 m) where
it adopted prolonged glide during descent (Figs
4,
5). In the descent phases where
prolonged glides were observed, the seal in the weighted condition began
gliding at shallower depths than in the unweighted condition, demonstrating
that seals are able to use prolonged glide below a particular depth depending
upon individual body densities. Below these depths, ambient pressure probably
compresses the residual gas in the lungs sufficiently to make the seals
negatively buoyant (Skrovan et al.,
1999
; Williams et al.,
2000
).
It is possible that additional drag due to the lead weight could affect stroke patterns of the seal in the weighted condition. This is unlikely to have contributed to the observed changes, however, since there was no significant difference in drag coefficient between the weighted and the unweighted condition. Extra drag caused by the weight should be minimal because the flat-shaped weight was attached just behind the logger package on the seal's back so that the frontal area did not differ between the two conditions.
The effect of the lead weight on body density
How much did the lead weight of 1.45 kg alter the body density of the seal
in experiment 2? The difference in body density of the seal between the
weighted and the unweighted condition (
) is:
![]() | (5) |
where mseal and mweight are the
mass of the seal (45.2 kg) and the lead weight (1.45 kg), respectively,
seal and
weight are the density of the seal
and the weight (11350 kg m-3), respectively. Although
seal is unknown, 
is insensitive to
seal; the possible range of
seal (1000-1050 kg
m-3) gives the narrow range of 
(29.2-30.5 kg
m-3). This shows that the lead weight should increase the body
density of the seal by
30 kg m-3.
To provide an idea what this change corresponds to in terms of the relative
amount of lipid, consider the following scenario. The total density of the
seal (
seal) is calculated as:
![]() | (6) |
where
lipid and
lipid-free are the density
of body lipid and lipid-free-body of seals, respectively.
Plipid is the proportion of body lipid by mass.
Considering two seals with different Plipid and hence
seal, subtracting Eqn 6 for one seal from that for the other
gives:
![]() | (7) |
We used the value of
lipid=901 kg m-3, which was
reported for humans (Moore et al.,
1963
) (cited by Biuw et al.,
2003
), and
lipid-free=1115 kg m-3,
which we calculated from the published values of the density of various body
components in humans [protein 1340 kg m-3, ash 2300 kg
m-3, body water 994 kg m-3
(Moore et al., 1963
) (cited by
Biuw et al., 2003
)] and the
proportion of each component for lipid-free-body in grey seals Halichoerus
grypus [protein 24.3%, ash 2.8%, body water 72.9%
(Reilly and Fedak, 1990
)]. An
increase in density (
) of 30 kg m-3 gives
Plipid of -0.14 according to Eqn 7, i.e. increase
in
seal by 30 kg m-3, caused by the lead weight of
1.45 kg, corresponds to decrease in Plipid by 14%.
Pinnipeds go through dramatic seasonal changes in body lipid content, as much
as 20% (Beck et al., 2000
), as
a result of the sometimes complete separation between feeding at sea and
fasting on land while molting and lactating. We therefore believe that we
could simulate such seasonal changes by attaching the lead weight, and suggest
that seals change their stroke patterns seasonally according to their body
composition.
Calculation of drag coefficient
We calculated drag coefficient from deceleration rates during horizontal
glides (Fig. 1). This simple
method has long been used in experiments with water tanks
(Clark and Bemis, 1979
;
Bilo and Nachtigall, 1980
;
Videler and Kamermans, 1985
;
Williams and Kooyman, 1985
;
Feldkamp, 1987
;
Stelle et al., 2000
;
Ribak et al., 2005
), and we
applied it to experiments with free-ranging animals. Miller et al. employed a
different method to calculate drag coefficients of free-ranging sperm whales
(Miller et al., 2004
), using
depth change during steep ascent glides, and therefore they needed to consider
the effect of buoyancy in their calculation. The advantage of our method using
horizontal glides is that the estimate of drag coefficient can be independent
of that of buoyancy. Our speed sensor, which was not employed in the previous
work (Miller et al., 2004
),
enabled us to use the method.
Drag coefficient, based on frontal area, of the seal measured in this study
(0.11) is at the upper limit of the range of values previously measured in
water tanks for other pinnipeds [harbor seals Phoca vitulina,
0.038-0.088 (Williams and Kooyman,
1985
); California sea lions Zalophus californianus,
0.046-0.070 (Feldkamp, 1987
);
Steller sea lions Eumetopias jubatus, 0.080-0.13
(Stelle et al., 2000
)]. This
suggests that our logger package on the seal's back facilitated flow
separation and increased drag to some extent, but not so much as to seriously
affect the behavior of the seals.
Calculation of body density
In this study we have also demonstrated that it is possible to estimate
body density from speed and pitch during prolonged glides (Figs
6,
7). Although the estimated body
densities were variable among dives for both the weighted (1027-1046 kg
m-3, N=28) and the unweighted (1014-1022 kg
m-3, N=25) conditions, the values correspond to the
theoretical difference in body density between the conditions (30 kg
m-3). The estimated body densities correspond to the lipid content
of 32-41% and 43-47% for the weighted and unweighted conditions, respectively,
according to Eqn 6. Systematic deviations of the seal data around the model
density lines in Fig. 7 are
perhaps caused by the fact that we did not include the effect of lift and
induced drag in our model (Eqn 4). The residuals indicate that our no-lift
model would underestimate body density at pitch shallower than
45°.
More lift is needed for a buoyant animal to maintain a shallower pitch, which
will correspondingly increase induced drag. Including an accurate value for
induced drag would improve the estimation of body density using glides at
shallow pitch.
The body density of free-ranging marine mammals was previously estimated
for southern elephant seals Mirounga leonina using depth data during
`drift dives' (i.e. dives during which seals spend a large proportion of time
drifting passively through the water column)
(Biuw et al., 2003
), and for
sperm whales using depth and pitch during steep ascent glides
(Miller et al., 2004
). In the
present study, we have demonstrated that measurement of terminal speed during
prolonged glides is another promising approach to estimate body density and
relative body composition. Furthermore, although our approach based on
Newtonian mechanics is similar to those of the previous works
(Biuw et al., 2003
;
Miller et al., 2004
), we
demonstrated the effect of body density on terminal glide speed by
experimentally dropping the weight after a predetermined time period.
| Acknowledgments |
|---|
| Footnotes |
|---|
Present address: Baikal Seal Aquarium, 2nd Zheleznodorozhnaya Street 66,
Irkutsk 664005, Russia | References |
|---|
|
|
|---|
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