Movement control strategies during jumping in a lizard (Anolis valencienni)
Introduction
Jumping is a complex behavior involving the coordination of multiple segments to obtain the rapid displacement of center of mass away from its initial position (Bobbert and van Ingen Schenau, 1988; Aerts, 1998; Ashby and Heegaard, 2002; Gregersen and Carrier, 2004). Maximal jumping has been intensively studied and involves an optimization of the neuromuscular control (Bobbert and van Ingen Schenau, 1988; Selbie and Caldwell, 1996; Seyfarth et al., 1999; Spagele et al., 1999; Zajac, 2002; Hof, 2003). However, whether these same control strategies also apply to sub-maximal movements is unknown.
Yet, the majority of movements made by organisms are not maximal effort movements (Irschick and Losos, 1998), making it of paramount importance to understand how sub-maximal movements are controlled (Van Zandwijk et al., 2000; Vanrenterghem et al., 2004). As the control of sub-maximal movements can theoretically be achieved in an infinite number of ways underlying general principles are often invoked to simplify the control of complex movements (Van den Berg, 2000; Aerts et al., 2001). Two major control strategies for sub-maximal locomotor movements have recently been proposed in literature: (1) an increase or decrease of the force output of the system without changing the basic descending control and kinematics (Boyd and McLellan, 2002); (2) an optimization of the energy expended during the actual movement (Vanrenterghem et al., 2004). The biggest difference between the two strategies is that few changes in kinematics are expected in the first case. However, changes in kinematics involving the recruitment of light distal segments (foot, lower limb) before the heavier proximal segments such as upper limb or body (thus conserving energy when possible) are expected for the latter control strategy.
A recent study investigating the control of sub-maximal jumping in humans demonstrated that during vertical sub-maximal jumping, movement effectiveness is the most likely control criterion (Vanrenterghem et al., 2004). Movement effectiveness was associated with changes in the proximal segments and the invariance of changes in distal segment angles. Thus, energy expenditure was optimized during the jump by minimizing rotations of heavy proximal segments when possible (Vanrenterghem et al., 2004).
Here, the generality of the movement effectiveness criterion for jumping is tested by investigating the control of jumping in the lizard Anolis valencienni. Anolis lizards in general, are ideal subjects to study jumping as they often jump in their natural habitat to move around, or to escape from predators (Losos, 1999; Toro et al., 2003, Toro et al., 2004). As they live in complex three-dimensional arboreal habitats they not only jump different distances, but also jump to supports (branches) positioned at a wide variety of angles, distances and heights from the original perch. Movement effectiveness as a control criterion was tested for two different goal-directed jumping tasks in A. valencienni: jumping far and jumping at different angles, where jumping at different angles is used here as a proxy for vertical sub-maximal jumping. As an alternative control criterion the ‘push harder’ hypothesis is evaluated (i.e. increasing the force output of the system with few changes in kinematics; Boyd and McLellan, 2002). Specifically it is predicted that if movement effectiveness is the control strategy used, changes in distal segment angles (ankle, knee) during jumping should be constant and should thus have little or no predictive value for explaining changes in jump distance or take-off angle. Alternatively, changes in peak force should be strongly correlated with jump distance or take-off angle for the ‘push harder’ hypothesis to be valid.
Section snippets
Animals and trials
Five individuals of the lizard A. valencienni (snout–vent length: 71±4 mm) were used for the jumping trials. Before each trial, animals were placed in an incubator at 32 °C for at least 1 h. Animals were taken from the incubator, placed on the force platform and induced to jump to a branch set at different distances (range of jump distances: 4.6–37.7 cm) and heights (range of take-off angles: 8.4°–55.4°). Each animal was induced to make at least five short, five intermediate, five long, and five
Kinematics of jumping in A. valencienni
During the preparation for jumping the hind feet are positioned in front of the pelvic girdle with both knee and ankle angles extended beyond 90°. The front feet are placed at the level of the center of mass with the elbow flexed. During take-off, the knee and ankle angles initially decrease, after which they extend again to become maximally extended at take-off. Thus the animals appear to be using a counter-movement jump (Bels et al., 1992). The head and trunk are extended mostly during the
Discussion
Our results demonstrate that different control strategies are used in different modalities of jumping in A. valencienni lizards. Distance jumping largely involved a simpler control strategy consisting of ‘push harder’ to jump farther. By incorporating only peak force during take-off into a regression model, 72% of the observed variation in jump distance could be explained. Moreover, changes in jump distance were linearly correlated with changes in peak force (Fig. 2). This monotonic response of
Acknowledgments
The authors thank Peter Aerts for critical comments on an earlier version of this manuscript. Supported by NSF grant IBN 9983003 and 042917 to D.J.I.; A.H. is a postdoctoral fellow of the Fund for Scientific Research—Flanders, Belgium (FWO-Vl). E.T. is a Smith Graduate Fellow at Stanford University.
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