Variation in speed, gait characteristics and microhabitat use in lacertid lizards
University of Antwerp (U.I.A.), Department of Biology, Universiteitsplein 1, B-2610 Wilrijk, Belgium
* e-mail: vhooyd{at}uia.ua.ac.be
Accepted 16 January 2002
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Summary |
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Key words: ecomorphology, gait characteristics, interspecific comparison, locomotion, Lacertidae, phylogenetic analysis
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Introduction |
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We have three problems with the cause/effect assumption that hindlimb length affects stride length, which affects sprint speed. First, this often-cited assumption has never been explicitly tested. Second, stride length is not the sole determinant of sprint speed. Stride length is made up of two components: step length (or the distance the body moves forward during stance) and floating distance [or the distance the body moves forward when the (hind)limbs are not in contact with the substratum]. Moreover, sprint speed is the result of combining a particular stride length with a particular stride frequency. This implies that, in theory, species that are unable to lengthen their stride (for whatever reason) can ultimately attain identical sprint speeds solely by increasing their stride frequency. Moreover, interspecific variation in stride length and stride frequency at maximal sprint speed could originate in different ways. One possibility is that different species employ different speed modulation strategies, i.e. they alter stride length and frequency with speed to different extents. Ultimately, maximal sprint speed will differ between species that alter stride length and frequency with speed in diverse ways because different speed modulation strategies place different limits on the maximal attainable speed. However, all species might employ the same speed modulation strategy, but the increase in stride length or frequency with speed might be limited at different points among species. How far each species can increase its stride length or frequency might be determined by its design (e.g. morphology, physiology, biochemistry). In this case, species will differ in maximal sprint speed. To elucidate the mechanistic basis of the variation in sprint speed, we therefore need information on how each species realises its maximal sprint speed (i.e. speed modulation strategy) and on the values of the gait characteristics at maximal sprint speed.
The third problem with the hindlimb lengthstride length
sprint
speed assumption is that the way in which animals realise their maximal sprint
speed might differ among species occupying different microhabitats. To our
knowledge, no quantitative data exist on the relationship between ecological
variables and speed modulation. White and Anderson
(1994
) hypothesised that
differences in gait characteristics with speed might reflect differences in
foraging strategy (active versus ambush predators) among teiid
lizards, and Van Damme et al.
(1998
) suggested that the way
in which lizards realise their ultimate sprint speed may be influenced by
predation pressure.
One of the most obvious potential ecological factors likely to influence locomotor style is microhabitat use because different substrata (e.g. open, sandy, patches of vegetation, inclined substrata) will impose different or even conflicting demands on steady-running style. Species from open areas can increase sprint speed by increasing both stride length and frequency; the former by including large floating distances in the stride cycle. Species living among patches of vegetation, in contrast, would be expected to modulate speed by altering stride frequency. Because these species will often have to move around obstacles, they must be able to change direction fast and frequently. In this context, it seems beneficial to increase the number of ground contact phases (and thus stride frequency) as these present the only possibilities for altering the direction of motion. Species occurring on inclined surfaces can increase speed by increasing stride frequency or stride length: in the latter case, only if the change in stride length is due to an increase in step length alone. No floating phases can be incorporated in the stride cycle because losing contact with the surface may have disastrous consequences, for climbing animals
In this study, we aimed to test the hindlimb lengthstride
length
sprint speed assumption for 11 lacertid lizard species known to
vary considerably in maximal sprint speed and microhabitat use. Specifically,
we test the following hypotheses: (i) that differences in both stride length
and frequency contribute to variation in maximal sprint speed; (ii) that
differences in both step length and floating distance contribute to
differences in stride length at maximal sprint speed; (iii) that differences
in morphology (snoutvent length, SVL, mass, hindlimb length) explain
differences in step length, floating distance and stride frequency at maximal
sprint speed; (iv) that the variation in maximal sprint speed is due to
differences in modulation strategies (stride length versus
frequency); (v) that the way in which stride length changes with speed depends
on the way in which both step length and floating distance change with speed;
(vi) that morphological differences explain the way in which step length,
floating distance and stride frequency change with speed and (vii) that
species occurring in different microhabitats use different speed modulation
strategies.
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Materials and methods |
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Morphometrics
We took the following external measurements with digital callipers
(Mitutoyo, CD-15DC) to the nearest 0.01 mm: snoutvent length (SVL),
measured from the tip of the snout to the posterior edge of the anal scale;
femur length, measured from the hip to the knee joint; tibia length, measured
from the knee joint to the ankle; and metatarsal length, measured from the
ankle to the base of the third toe. All animals were weighed on an electronic
balance (A&D Instruments, FX-3200) to the nearest 0.01 g. The sum of femur
length, tibia length and metatarsal length (hereafter referred to as hindlimb
length) was used in subsequent analyses. Thus, our measurement of hindlimb
length does not correspond to the measure of hindlimb span (e.g.
Bonine and Garland, 1999),
which takes variation in the width of the pelvis into account.
We calculated the mean values for each species of the three morphological variables (SVL, mass, hindlimb length) and logarithmically (log10)-transformed them before statistical analyses.
Performance
Data on maximal sprint speed of the 11 species are taken from our previous
studies (Vanhooydonck and Van Damme,
2001; Vanhooydonck et al.,
2001
) and given in Table
1. We calculated the logarithm (log10) of the mean
maximal sprint speed for each species and used these values in subsequent
analyses.
Microhabitat use
We observed lizards in a large (4 mx4 m) terrarium containing the
following eight types of microhabitat: (i) a dense stand of purple moor grass
(Molinia caerulea), with a total area of 3 m2; (ii) a
strip of grass (Poa annua), with an area of 3 m2; (iii) a
patch of moss with a surface area of 3 m2; (iv) an area of
approximately 3 m2 closely planted with shrubs (Lonicera
spp.); (v) a strip of sand, also 3 m2 in surface area; (vi) a wall
of piled stones, 0.5 m high and with a top surface area of 0.5 m2;
(vii) a series of logs, loosely stacked to a height of 0.3 m; and (viii) a
tree trunk of 20 cm diameter, cut off at a height of 40 cm. Eight 500 W lamps,
one above each type of microhabitat, provided heat and light throughout the
experiment.
The smaller species (SVL<80 mm) were introduced into the test terrarium in groups of no more than eight individuals, the larger species in groups of no more than five individuals. Species were always kept apart. To avoid disturbance, all observations were made from behind a blind. After an initial habituation period of 1 h, we recorded the microhabitat occupied by each individual lizard in the terrarium at 30 min intervals. To facilitate interpretation, we decided to pool the types of microhabitat described above into three classes that clearly differ in structural features: an `open' microhabitat [a combination of low grass (ii), moss (iii) and sandy (iv) patches], a `vegetated' microhabitat [a combination of moor grass (i) and shrub (v) patches) and a `vertical' microhabitat [stone wall (vi), logs (vii) and tree trunk (viii)].
For each species, we measured the proportion of time spent in each of the
three microhabitats (open, vertical or vegetated). We arcsine-transformed all
proportions before subsequent statistical analyses. We used the arcsine
transformation because it is the most appropriate when dealing with
proportions (Sokal and Rohlf,
1995).
We were unable to make observations on microhabitat use in Podarcis hispanica and Podarcis atrata because the experimental arrangement described above was not available when we performed the morphological, performance and kinematic measurements on these two species. All analyses concerning microhabitat use are thus for nine species only.
Gait analysis
To obtain estimates of gait characteristics, we filmed all lizards with a
high-speed video camera (NAC 1000) at 500 frames s-1 in dorsal view
while they were running on a moving treadmill belt. To facilitate subsequent
digitisation, we marked the lizards with small white dots (of non-toxic paint)
mid-dorsally on the pelvis and on the dorsal and ventral sides of the second
toe of the hindlimb. After marking, the lizards were placed in an incubator
set at the different species-selected body temperatures (38 °C for L.
longicaudata, 35 °C for the other species) (see
Castilla et al., 1999) for at
least 1 h. The lizards were then placed, one at a time, on the belt moving at
a low speed. Once the animals started running, the speed of the belt was
increased slowly but steadily. We therefore obtained video sequences of each
individual lizard at a wide range of running velocities.
In an initial analysis, the speed attained during each recorded running
bout was assessed by digitising (using a NAC-1000 XY coordinator) a marker on
the moving belt, as a reference, and the pelvic marker on the first and last
frame of potentially useful sequences. A sequence was considered `potentially
useful' only if the lizard took at least five sequential steps at a constant
speed and moved in a straight line. For each individual, we then aimed to
select (at least) five sequences evenly spread throughout the range of speeds
for further detailed analyses. For practical reasons (e.g. narrow range of
speeds), this was not always possible. On these sequences, we digitised a
marker on the moving belt and the pelvic and toe markers every third frame
(i.e. with a time interval of 0.006 s). We chose to digitise a hindfoot
because the posterior limbs generate most of the propulsive power in these
animals (Snyder, 1952). The
numbers of individuals and sequences used for complete digitisation and
determination of maximal sprint speed (see
Vanhooydonck and Van Damme,
2001
; Vanhooydonck et al.,
2001
) are given in Table
1. The speeds at which lizards ran for each digitised sequence and
species are presented in Fig.
1.
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We obtained the following variables from the digitised images using the
method described by Van Damme et al.
(1998): (i) stride length, the
distance travelled by the centre of mass during one complete cycle of limb
movements (cf. Alexander,
1977a
,b
,
1982
), here measured as the
distance travelled from the time the hindfoot touches the ground until the
time when that same hindfoot touches the ground in the following cycle; (ii)
stride frequency, the number of complete cycles per second; (iii) step length,
the distance travelled by the centre of mass during the stance of a particular
leg (Alexander, 1977a
;
McMahon, 1984
), here measured
as the distance travelled from the time the hindfoot touches the ground until
the time that same hindfoot loses contact with the substratum in the same
cycle; (iv) floating distance, the distance travelled by the centre of mass
when neither of the hindfeet is in contact with the ground [(calculated as
stride length minus 2(step length)], here measured as the distance travelled
from the time both hindfeet lose contact with the substratum until the time
one of the hindfeet touches the ground again.
We logarithmically (log10)-transformed running speed and the kinematic variables. For each species, we then regressed each of the four gait characteristics against running speed (see Table 2 for regression equations). We used the regression equation to estimate the values of the four gait characteristics (i.e. stride length, stride frequency, step length and floating distance) at maximal sprint speed (as measured on the moving belt) for each species. These estimated values at maximal sprint speed and the slopes (a in Table 2) of each regression equation were used in subsequent analyses, the former to test which variables determine maximal sprint speed and the latter to test how species realise their maximal sprint speed and whether speed modulation strategies differ among species occupying different microhabitats.
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Statistical analyses
Because species share parts of their evolutionary history, they cannot be
regarded as independent data points in statistical analyses (Felsenstein,
1985,
1988
;
Harvey and Pagel, 1991
;
Garland et al., 1993
). A
fundamental assumption in traditional statistical analyses, however, is that
data points are independent of each other. In recent years, various computer
programs have been developed to take phylogenetic relationships into account
in statistical analyses (Harvey and Pagel,
1991
; Garland et al.,
1993
; Losos and Miles,
1994
). In the present study, we used the phylogenetic independent
contrasts approach (Felsenstein,
1985
,
1988
).
The independent contrasts method requires information on the topology of
the phylogenetic tree. The phylogeny of the Lacertidae is incompletely
resolved, and we had to use a combination of results from mitochondrial DNA
(Harris et al., 1998;
Harris and Arnold, 1999
) and
morphological studies (Arnold,
1989
,
1998
) to compile a tree that is
the best approximation currently available
(Fig. 2). Some unresolved
polytomies remain. However, all attempts at phylogeny reconstruction in
lacertids, even those using molecular techniques, have been unable to unravel
these relationships, and the polytomies may, in fact, represent explosive
speciation events (Arnold,
1989
; Harris et al.,
1998
; Harris and Arnold,
1999
; Fu, 2000
).
We therefore considered the unresolved nodes to be `hard' polytomies (see
Purvis and Garland, 1993
). All
branch lengths were set to unity, because few data are available on divergence
times within lacertids. It has been shown that the actual length of the
branches does not usually greatly affect the outcome of phylogenetic
statistical analyses (Martins and Garland,
1991
; Walton,
1993
; Irschick et al.,
1996
; Díaz-Uriarte and
Garland, 1998
). Moreover, checks of branch lengths with the PDTREE
program (Garland et al., 1999
)
did not show any significant correlation between the absolute values of the
standardised contrasts and their standard deviations, implying that branch
lengths were adequate for all traits.
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For each species, we calculated the independent contrasts of the log-transformed mean values of the morphological (SVL, mass, hindlimb length) and performance (maximal sprint speed) variables, of the arcsine-transformed proportions of the observations on microhabitat use (open, vertical, vegetated microhabitat) and of the species-specific slopes of the regressions of the four gait characteristics (stride length, stride frequency, step length, floating distance) against running speed and of the same gait characteristics at maximal sprint speed (extrapolations based on regression equations, see above).
The independent contrasts were then used as input for a series of backward
stepwise multiple regressions through the origin (see
Garland et al., 1992). A
graphical representation of the different regression analyses, apart from
those concerning microhabitat use, is shown in
Fig. 3A. In the regressions in
which we used the contrasts of the slopes of the gait characteristics against
speed, we never introduced the contrasts of the slopes of stride length
against speed and the contrasts of the slopes of stride frequency against
speed simultaneously in the analyses because these two variables are, by
definition, inversely related. To test for the context-dependency of speed
modulation among the 11 lizard species, we correlated the contrasts of the
three microhabitat variables with the contrasts of the slopes of stride
frequency against speed. By definition, introducing the contrasts of the
slopes of stride length against speed in the analyses gives the opposite
result.
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Results |
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The variation in contrasts of stride length, in turn, is largely (97%) explained by the variations in contrasts of step length and floating distance (Fig. 3B). In other words, large strides are accomplished by taking large steps (r=0.80) and having long floating phases (r=0.37).
The variation in contrasts of step length is largely explained by the variations in contrasts of mass and hindlimb length (Fig. 3B). The variation in contrasts of SVL does not contribute significantly to the variation in contrasts of step length. Species that take large steps have relatively long hindlimbs (r=1.92) and are relatively light (r=-1.45).
Only the variation in contrasts of hindlimb length contributes significantly to the variation in contrasts of floating distance (Fig. 3B). The variations in contrasts of SVL and mass do not contribute significantly to the variation in contrasts of floating distance. Thus, species with long hindlimbs have long floating phases.
Variation in none of the contrasts of the three morphological variables (SVL, mass and hindlimb length) explains the variation in contrasts of stride frequency (r=0.50, F3,7=0.76, P=0.55).
Speed modulation
The variation in contrasts of maximal sprint speed is marginally explained
(P=0.075) by the variation in contrasts of the slopes of stride
length against speed (Fig. 3C).
Because the contrasts of the slopes of stride frequency and stride length
against running speed are inversely related (by definition), the opposite
relationship is obtained for the contrasts of the slopes of stride frequency
and maximal sprint speed. This means that species attain a higher maximal
sprint speed if they modulate their speed mainly by increasing stride length
rather than stride frequency.
The variation in contrasts of the slopes of stride length, in turn, is explained by the variations in contrasts of the slopes of step length and floating distance against speed (Fig. 3C). Lizards modulate their stride length by changing both step length (r=0.83) and, to a lesser extent, floating distance (r=0.37).
The variation in contrasts of SVL and hindlimb length explains the variation in contrasts of the slopes of step length against speed (Fig. 3C). The variation in contrasts of mass does not contribute to this variation. Species in which step length changes with speed have relatively long hindlimbs (r=2.30) and a relatively small SVL (r=-2.16).
The variation in contrasts of the slopes of floating distance against speed is explained by the variations in contrasts of mass and hindlimb length (Fig. 3C). The variation in contrasts of SVL does not contribute significantly to the variation in contrasts of the slopes of floating distance against speed. Species with relatively long hindlimbs (r=1.77) and a relatively small mass (r=-1.12) alter their floating distance with speed.
The variations in contrasts of mass and hindlimb length explain a significant proportion of the variation in contrasts of the slopes of stride frequency against speed (Fig. 3C): relatively heavy species (r=1.78) with relatively short hindlimbs (r=-2.14) alter stride frequency with speed. The variation in contrasts of SVL does not contribute significantly to the variation in contrasts of the slopes of stride frequency against speed.
The variation in contrasts of time spent in the open microhabitat is explained by the variation in contrasts of the slopes of stride frequency against speed (Fig. 4A). As mentioned above, the contrasts of the slopes of stride length and stride frequency are inversely related, so the opposite is true for the relationship between the contrasts of time spent in the open microhabitat and the contrasts of the slopes of stride length against running speed. This means that species occurring mostly in open microhabitats increase their speed mainly by increasing stride length and less by increasing stride frequency.
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The variation in contrasts of time spent in the vertical microhabitat is not explained by the variation in contrasts of the slopes of stride frequency against speed (r=0.20, F1,7=0.30, P=0.60). The variation in contrasts of time spent in the vegetated microhabitat is, however, explained by the variation in contrasts of the slopes of stride frequency against speed (Fig. 4B). In other words, species occurring mostly amongst vegetation increase their speed mainly by increasing stride frequency and less by increasing stride length.
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Discussion |
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Stride length, in turn, is determined by step length and floating distance.
In this case, speed-dependent changes in step length have a greater effect on
changes in stride length than does variation in floating distance with speed.
Hindlimb length correlates positively (for a given body mass) both with step
length and with floating distance. The positive effect of hindlimb length on
step length is expected if the joint angles at touch-down and take-off are
equal in short-limbed and long-limbed lizards. In this case, the distance the
body moves forward during stance will be greater in species with longer limbs.
Long-legged birds and mammals appear to be able to take longer steps
(Hoyt et al., 2000), but
Irschick and Jayne (1999
)
found no correlation between limb length and step length among five species of
lizards.
The positive effect of hindlimb length on floating distance is in agreement
with biomechanical predictions. A stride cycle that includes a floating phase
can be regarded as two single leg jumps in sequence. The distance an animal
can jump is determined, amongst other factors, by the distance through which
it accelerates during push-off (Alexander,
1972). In this case, the latter distance relates to hindlimb
length. Thus, long-limbed animals are predicted to perform the longest jumps.
Quantitative data on jumping performance in Anolis lizards
(Losos, 1990
) and tree frogs
(Emerson, 1991
) substantiate
this prediction.
Among the 11 lacertid species under study, mass has a negative effect on
step length for lizards with equally long hindlimbs. If we assume that muscle
mass scales proportionally with body mass (m) and that force
(F) scales proportionally with the cross-sectional area of the
muscles, thus with m2/3, the acceleration (a) of
the centre of mass will be lower for a given muscle activation pattern
(F=ma). This will then result in a smaller forward displacement of
the body and, thus, a shorter step length. Hoyt et al.
(2000) also found that
relative step length (i.e. expressed in units of leg length) is smaller in
larger mammals and birds than in smaller ones.
None of the morphological variables that we introduced in the regression
analysis explained a significant proportion of the interspecific variation in
stride frequency at maximal sprint speed. Among seven teiid lizard species,
however, stride frequency appeared to be negatively affected by body mass at
body-length-equivalent speeds (White and
Anderson, 1994), and stride frequency at burst running speed
decreased with body mass in the lizard Dipsosaurus dorsalis
(Johnson et al., 1993
). In
contrast, mass had no effect on stride frequency in painted turtles
Chrysemys picta (Zani and
Claussen, 1995
). The physiological properties of the limb muscles
may determine stride frequency. For example, limb cycling frequency increases
with increasing body temperature in D. dorsalis
(Swoap et al., 1993
). It has
been suggested that the positive relationship between frequency and
temperature is due to the thermal dependence of muscle contraction speed (e.g.
Bauwens et al., 1995
). However,
the seemingly straightforward link between muscle contractile properties and
maximal stride frequency remains obscure because muscle cycling frequency for
maximal power output largely exceeds maximal limb cycling frequency in D.
dorsalis (Johnson et al.,
1993
; Swoap et al.,
1993
).
Speed modulation strategy during steady locomotion differs among lacertid
species occurring in different microhabitats. Species that occur mainly in
open microhabitats increase sprint speed mainly by increasing stride length,
while species occurring in patches of vegetation mainly increase stride
frequency. This is as expected. In an open microhabitat, species can include a
floating phase in their stride cycle to increase stride length. A vegetated
microhabitat, in contrast to an open one, poses conflicting demands on running
style. Lizards occurring among patches of vegetation need to change direction
fast and frequently. They can do so only when their feet are touching the
ground. Therefore, it seems logical for these animals to increase speed mainly
by increasing stride frequency. This reasoning is based on our data on
steady-speed locomotion. In contrast, during unsteady locomotion, such as when
accelerating, some lizard species are known to increase speed by increasing
stride frequency initially and by subsequently increasing stride length
(Irschick and Jayne,
1998).
Each steady-running style (stride length versus stride frequency modulation) seems to place specific demands on the locomotor apparatus of the lizards. While stride-length-modulating species appear to be long-limbed (for a given mass or SVL) and light or small (for a given hindlimb length), stride-frequency-modulating species are short-limbed (for a given mass) and heavy (for a given hindlimb length). Long-limbed lizards are able to change stride length over a greater range because limb length sets the upper limit on step length (in theory, maximal step length equals twice leg length) and floating distance (as argued above). Because, at a given speed, stride length and frequency are inversely related, long-limbed lizards have lower stride frequencies at any speed than short-limbed animals.
It is unclear why stride-length-modulating species should be light or small
and stride frequency modulators heavy (all relative to hindlimb length). In
Mammalia, the opposite effect was found
(Strang and Steudel, 1990):
larger mammals change speed mainly by altering stride length, while smaller
mammals do so mainly by increasing stride frequency. However, Strang and
Steudel (1990
) state that it
is not clear how the interrelationship between size and hindlimb length
affects their results. Therefore, the morphological basis for the differences
in how species change their sprint speed is far from clear. Data are needed on
the physiology and architecture of the musculoskeletal system to determine the
factors that affect the way in which animals modulate sprint speed.
Species occurring mainly in vertical microhabitats do not seem to be either pronounced stride length or frequency modulators. They alter their speed by combining the two strategies. Neither stride length nor frequency can be indefinitely increased in this context. When climbing up vertical surfaces, animals need to establish a secure grip on the surface because slipping could be disastrous. This is in sharp contrast to locomotion on the level, where slipping does not constitute such a major hazard. Taking time to get a good grip and to position the legs precisely potentially constrains stride frequency. Taking larger strides in the same context can only be done by increasing step length; floating phases will cause the animals to fall from a vertical surface. We tested this idea by correlating the contrasts of the slopes of floating distance against speed with the contrasts of time spent in the vertical microhabitat. The relationship between the two variables was negative (r=-0.65; P=0.057) and therefore appears to substantiate our hypothesis. The inability to include floating phases into the stride cycles greatly limits stride length in lizards living on steep inclines.
By employing a stride length modulation strategy, species from open microhabitats are able to attain faster maximal sprint speeds than species occurring mainly in the other two microhabitats. Being able to escape fast in an open environment appears to be `ecologically relevant', while high sprint speeds might be less important in enclosed environments (see B. Vanhooydonck and R. Van Damme, in preparation). On the basis of these results, it is tempting to conclude that the speed modulation strategy of lizards has been shaped by natural selection to fulfil the specific requirements set by the environmental context. However, we realise that sprint speed might be confounding the relationship between microhabitat use and speed modulation strategy. The sole objective of a lizard living in open areas might be to attain high sprint speeds. The way to maximise level sprinting speed is to modulate speed mainly by increasing stride length (see above). Because sprint capacity is correlated with occurrence in an open microhabitat (B. Vanhooydonck and R. Van Damme, in preparation), the latter might be correlated indirectly to speed modulation strategy. Theoretically, this could be tested by comparing species with the same maximal sprint speeds but from different microhabitats. In practice, this is impossible because the lacertid lizards studied here seem to differ in locomotor capacity depending, amongst other factors, on their microhabitat use (B. Vanhooydonck and R. Van Damme, in preparation).
Fundamental to this study are the assumptions that natural selection moulds
the way in which lizards adapt their speed to their life style (open,
vegetated or vertical microhabitat) and that running style is fixed within
species. In other words, we assumed that, if species use a running style
`adapted' to life in their natural surroundings, the same animal will use the
same speed modulation strategy in different contexts. Data on locomotor styles
of level-running and climbing geckoes substantiate this assumption
(Zaaf et al., 2001). However,
to test explicitly whether running style in the lacertid lizards studied here
is plastic, we need quantitative data on their speed modulation strategies on
different, ecologically relevant, substrata (e.g. level versus
inclined surfaces, open areas versus patches of vegetation).
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Acknowledgments |
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