Integrative and Comparative Biology Integrative and Comparative Biology, volume 54, number 6, pp. 1148–1158 doi:10.1093/icb/icu110 Society for Integrative and Comparative Biology SYMPOSIUM Dynamics of Locomotor Transitions from Arboreal to Terrestrial Substrates in Verreaux’s Sifaka (Propithecus verreauxi) R. E. Wunderlich,1,* A. Tongen,† J. Gardiner,* C. E. Miller‡ and D. Schmitt§ *Department of Biology, James Madison University, Harrisonburg, VA 22807, USA; †Department of Mathematics, James Madison University, Harrisonburg, VA 22807, USA; ‡Division of Biology, University of South Wales, Cardiff, UK; § Department of Evolutionary Anthropology, Duke University, Durham, NC 27710, USA From the symposium ‘‘Terrestrial Locomotion: Where Do We Stand, Where Are We Going?’’ presented at the annual meeting of the Society for Integrative and Comparative Biology, January 3–7, 2014 at Austin, Texas. 1 E-mail: [email protected] Synopsis Most primates are able to move with equal facility on the ground and in trees, but most use the same quadrupedal gaits in both environments. A few specialized primates, however, use a suspensory or leaping mode of locomotion when in the trees but a bipedal gait while on the ground. This is a rare behavioral pattern among mammals, and the extent to which the bipedal gaits of these primates converge and are constrained by the anatomical and neurological adaptations associated with arboreal locomotion is poorly understood. Sifakas (Propithecus), primates living only in Madagascar, are highly committed vertical clingers and leapers that also spend a substantial amount of time on the ground. When moving terrestrially sifakas use a unique bipedal galloping gait seen in no other mammals. Little research has examined the mechanics of these gaits, and most of that research has been restricted to controlled captive conditions. The energetic costs associated with leaping and bipedal galloping are unknown. This study begins to fill that gap using triaxial accelerometry to characterize and compare the dynamics of sifakas’ leaping and bipedal galloping behavior. As this is a relatively novel approach, the first goal of this article is to explore the feasibility of collecting such data on freeroaming animals and attempt to automate the identification of leaping and bipedal behavior within the output. The second goal is to compare the overall accelerations of the body and to use that as an approximation of aspects of energetic costs during leaping and bipedalism. To achieve this, a lightweight accelerometer was mounted on freely moving sifakas. The resulting acceleration profiles were processed, and sequences of leaps (bouts) were automatically extracted from the waveforms with 85% accuracy. Both vector dynamic body acceleration and overall dynamic body acceleration (ODBA) were used to characterize locomotor patterns and energy expenditure during leaping and bipedalism. The unique kinematics of the gait of sifakas, and the mechanics of bouts involving a string of successive leaps or gallops, appear to minimize redirections of the center of mass as well as the number of acceleration peaks and ODBAs. These results suggest that bipedal galloping is not only a reflection of the unique anatomical configuration of a leaping primate, but it may also provide a musculoskeletal and an energetic advantage to sifakas. In that sense, bipedal galloping represents an advantageous way for sifakas to move when transitioning from arboreal leaping to terrestrial locomotion. Introduction Managing energy expenditure and controlling daily metabolic costs is an essential element of animals’ fitness, and costs of locomotion comprise a large portion of the daily expenditure for an animal (Leonard and Robertson 1997; Biewener 2006; Shepard et al. 2008a, 2008b). Numerous studies have examined specializations among animals that reduce the energetic cost of locomotion, whether this cost is measured physiologically as oxygen consumption (see Hoyt and Taylor 1981; Taylor et al. 1982; Frappell et al. 1989; Griffin and Kram 2000; Griffin et al. 2004; Hanna et al. 2008) or estimated as levels of recovery (see Cavagna et al. 1977; Ahn et al. 2004; Zani et al. 2005; Biewener 2006; Lammers and Zurcher 2011; O’Neill and Schmitt 2012) or losses due to redirection of the center of mass (collisions) (Kuo et al. 2005; Ruina et al. 2005; Usherwood et al. Advanced Access publication September 17, 2014 ß The Author 2014. Published by Oxford University Press on behalf of the Society for Integrative and Comparative Biology. All rights reserved. For permissions please email: [email protected]. Arboreal and terrestrial locomotion in sifaka 2008; Lee et al. 2011, 2013). Similarly, musculoskeletal design further imposes constraints on locomotion, as animals must experience musculoskeletal loading but resist overloading of the system to the point of failure. Although many animals exhibit locomotor strategies specialized for movement on particular substrates (land, trees) or in particular media (water, air), others are able to operate under a variety of conditions, often having to perform locomotor tasks with a completely different orientation of the body in space. Orientation of the body vertically or horizontally results in different effects of gravitational acceleration and differently oriented substrate reaction forces. Such changes in orientation and substrate make conservation of energy and regulation of musculoskeletal load potentially challenging. Primates are particularly interesting in this regard. As an order, they utilize a vast array of arboreal and terrestrial substrates, and most members move in both environments [see Fleagle (2013) for a review]. Of particular interest is the frequent occurrence of bipedalism in the order Primates compared with other mammals. This form of locomotion appears regularly in all apes including, of course humans, who are obligate bipeds; frequently in some New and Old World monkeys; and as the main and obligate form of walking and running while on the ground in one strepsirhine primate— the sifaka (Propithecus). Yet it is intriguing that, despite its frequency as a locomotor mode among primates, the nature of bipedalism, when it occurs either as an obligate or as a facultative mode of locomotion, is quite different across the order. Although humans use an obligate upright striding gait, chimpanzees (Pan), gibbons (Hylobates), and siamangs (Symphanlagus) use a bent hip, bent knee bipedal walking gait; with the former switching easily among bipedalism, quadrupedalism, and suspensory locomotion, and the latter using bipedal gaits when not using suspensory locomotion. The orangutan also often uses a bipedal gait, but does so most frequently while holding branches (Thorpe et al. 2007). New and Old World monkeys often engage in bipedal walking, especially when carrying objects (Liu et al. 2009; Fragaszy et al. 2010; Duarte et al. 2012; Demes and O’Neill 2013). Monkeys and apes engage in bipedalism to different degrees. Although all monkeys probably can walk bipedally, for most this represents a small percentage of their locomotor behavior, relying on quadrupedalism in most contexts. Other than sifakas, the nonhuman primates that spend the most time moving bipedally are highly suspensory New World monkeys and the 1149 nonhuman apes, all of whom regularly engage in suspensory locomotion. The frequency with which bipedalism is used in these groups is generally believed to be related to forelimb loading—by moving bipedally these animals avoid compressive loading in limbs specialized to function in tension (Wood-Jones 1916; Stern 1976; Reynolds 1985a, 1985b; Schmitt 2003). When moving bipedally apes use a striding sequenced gait, which rarely involves an aerial phase (Kimura et al. 1985; Vereecke et al. 2006). It is important from a dynamic locomotor perspective to stress the commitment to bipedalism seen in sifakas moving on the ground, and how this type of bipedalism compares with that seen in other primates. Sifakas are indrid primates specialized for dynamic vertical clinging and leaping [see Oxnard et al. (1990) for a more extensive review of the locomotor ecology of Propithecus]. They cling to vertical supports and leap long distances for their body size, travelling using richochetal bouts (a locomotor bout is defined as a continuous series of locomotion that ends when punctuated with a change in locomotor type or a posture) of leaping in which animals within a group follow behind one another using the same pathway through the forest. Unlike apes and monkeys, on the ground sifakas use a highly unusual form of bipedalism that has been described as a bipedal gallop (Wunderlich and Schaum 2007) with a whole-body aerial phase. The trunk of the animal is oriented about 308 to the direction of movement, and the two hind limbs contact the ground in a rapidly sequenced pattern, with the trail limb contacting before the lead limb (Fig. 1) [Note that ‘‘lead’’ and ‘‘trail’’ during sifaka bipedal galloping refers to the limb that is in front and behind, respectively, spatially rather than temporally in succession (Wunderlich and Schaum 2007)]. This raises the question of why sifakas, the only lemuriform primate to engage regularly in obligate bipedalism, adopt this type of gait. The explanation for this may lie in the broader aspects of locomotor ecology for this species. The anatomical and energetic commitment to leaping may constrain the form of bipedalism in this species. But without a comparison of the dynamics of these two gaits such conclusions remain speculative. This method of locomotion is poorly understood both from a mechanical and evolutionary perspective. Here we examine why sifakas use these unusual bipedal galloping gaits upon transitioning from the trees to the ground and to what extent this pair of locomotor strategies—leaping in the trees and galloping on the ground—can inform our understanding, in general, of transitions from one gait to 1150 R. E. Wunderlich et al. Fig. 1 Sifaka bipedal galloping on the ground from right to left. The body is oriented 308 to the path of movement. The trail limb touchdown is followed by the lead limb touchdown as the center of mass descends, and the two limbs come off the ground in the same order as the center of mass ascends. Fig. 2 Illustration of the technique used to filter raw accelerometer data and identify peaks representing leaps. This diagram shows two series of leaps; the first, a 4-leap series and the second, a 6-leap series. Dotted lines represent the raw data, solid lines represent the smoothed data. The open circles are the smoothed data peaks that are identified as leaps when their magnitude exceeds 20 Hz. The associated raw data peaks (closed circles) are then associated with these peaks. another on different substrates. Three main hypotheses for why an animal might exhibit a particular gait when it transitions from one substrate to the next are: (1) efficiency—bipedal galloping is more energetically efficient than other forms of terrestrial locomotion or it takes advantages of morphological or functional patterns in place for vertical clinging and leaping to provide the most efficient landscape for movement on the ground; (2) reduction of peak musculoskeletal load—bipedal galloping fosters lower peak musculoskeletal loads than those that would be predicted for other forms of locomotion; and (3) neuromuscular constraint—sifakas are specialized for locomotor patterns associated with vertical clinging and leaping and are constrained by these patterns of limb-use to this method of terrestrial movement. Traditionally, energetics is measured using indirect or direct techniques for the estimation of oxygen consumption. Direct respirometry involves measuring the rate of oxygen consumption by measuring gas exchange through a mask worn by an animal or in an isolated chamber, a technique that is not amenable to measures of energy expenditure in the field. Indirect methods, including heart rate and doubly labeled water, have been used somewhat more successfully in field applications. However, these methods have numerous other difficulties, such as their need for calibration/validation with direct measurements and the inability to collect Arboreal and terrestrial locomotion in sifaka 1151 Fig. 3 Acceleration data from all three axes and the resultant acceleration (green/gray peaks that have highest peak magnitude). Note that the Y accelerations exhibit a baseline close to gravitational acceleration, but all three components of the acceleration have some baseline static acceleration. VeDBA is calculated as the vector sum of these three components (resultant) summed over the series of leaps. data at fine temporal scales (Speakman 1998; Butler et al. 2004). It is difficult to examine energy expenditure by sifakas on any substrate using any of these traditional techniques. Sifaka locomotion covers large distances in short, intermittent bursts, not lending itself to laboratory measurement of metabolism, particularly the time-averaging measurements of doubly labeled water. However, recent studies have shown direct relationships between overall dynamic body accelerations (ODBA) and locomotor costs (Wilson et al. 2006; Green et al. 2009; Gleiss et al. 2011; Qasem et al. 2012). With these techniques available, Byrnes et al. (2008, 2011a, 2011b) quantified gliding mechanics in colugos and estimated the energetic costs of gliding, showing that gliding is not more efficient than climbing but does save travel time. Several studies have also been conducted on the mechanics of leaping in lemuriform primates (Sellers and Crompton 2004; Sellers 2008) using accelerometry; however, no studies have been performed to date on a VCL species, and no studies have explicitly examined ODBA or vector dynamic body acceleration (VeDBA) as a proxy for energy expenditure. To begin to understand the center-of-mass mechanics, and ultimately energetics, in sifakas across different locomotor substrates and body orientations, we are using accelerometry to characterize whole-body dynamic accelerations and to estimate differences in energy expenditure between arboreal leaping and terrestrial bipedal galloping in sifakas in order to shed light on the adaptive mechanisms behind this unusual gait. Numerous studies have illustrated the utility of accelerometry for the documentation of footfalls (Pfau et al. 2005, 2006; Ren and Hutchinson 2008; Preston 2012) and activity patterns (e.g., Erkert and Kappeler 2004; Sellers and Crompton 2004), as well as the use of ODBA and VeDBA to estimate energy expenditure both by terrestrial and aquatic animals (Wilson et al. 2006; Shepard et al. 2008a, 2008b; Green et al. 2009; Gleiss et al. 2011; Qasem et al. 2012). Sellers and Crompton (1994, 2004) collected the only quantitative locomotor data on primates using accelerometry and have demonstrated the utility of this method for further study and for quantification of primate locomotor behavior. Here we build on their work to demonstrate the potential of accelerometry for measuring whole-body dynamics in a specialized leaping primate. With datalogging capabilities and the ability to collect triaxial acceleration at high recording rates [measured in data units (Gs) recorded per second (Hz)], accelerometry has many advantages over traditional techniques for measuring locomotor behavior and locomotor dynamics. Traditionally, locomotor behavior is documented by observation (Altmann 1974; Fleagle 1977) or occasionally by video and is subject to highly variable experimenter reliability due to experience, difficult terrain, or the difficulty of maintaining consistent sight of animals 1152 moving in an arboreal environment, often in dense tree cover or high in the forest. Datalogging for 24 h allows animals’ movement to be measured in all locations, whether or not the animal is out of sight of the observer, and can be accomplished at all times of the day. Studies have demonstrated that lemurs, in particular, are much more cathemeral (Andrews and Birkinshaw 1998) than previously recognized, suggesting that it is essential to develop methods that can document activity for 24 h a day (Sellers and Crompton 1994). Furthermore, techniques that allow long-term logging of the dynamics of the whole body or of limbs permit measurements of parameters that were formerly confined to the controlled captive settings (acceleration, force, and kinematics) to be made in the field, such that locomotor biomechanics can be measured in a natural setting. Here we have presented work that validates the feasibility of measuring triaxial whole-body accelerations during leaping and bipedal galloping in a field setting, as long as animals can be captured and re-captured for attachment of the device and download of data. Methods A single Verreaux’s sifaka (4.9 kg) at the Duke Lemur Center (DLC), Durham, NC, was used for this study. The goals were to establish the protocols for collecting such data and to provide the first data on these animals. This project explores both the feasibility of mounting such equipment on the animals and the ability to extract data from the outputs. This article serves to validate the use of accelerometers in this population and over a relatively long time frame. Following this work additional animals will be studied, a process currently underway at the Duke Lemur Center. All procedures were approved by the Duke University IACUC. The sifaka was equipped with a Humotion (Munster, Germany) datalogger that contained a tri-axial accelerometer collecting at 100 Hz. The device is small and lightweight enough (60 17 6 mm; 6.3 g, plus a battery weighing 20.1 g) that it could be attached to the middle of the back of the animal and not cause any interference with the normal motion of the animal. Data were collected in two settings at the DLC. The first is a caged setting where the animal leaped between two poles spaced at 2.2 m from one another. This was used to validate and test the accuracy of our identification of leaping patterns using the accelerometer. Although using relatively short distances, the leaps were clearly defined in the acceleration profiles. Detailed results of these validation experiments R. E. Wunderlich et al. are reported elsewhere (Gardiner et al. 2013, manuscript in preparation). Longer distance leaps were collected in the phase described in this study and are explored in the analysis that follows. The second environment used for this study was the Natural Habitat Enclosure at the Duke Lemur Center where animals are allowed to free range in large sections of forested enclosure simulating a wild sifaka’s habitat. Simultaneous data on acceleration and behavior were collected for 4 h while the animal ranged freely. Longer distance leaps could be achieved in this habitat, as well as leaping and bipedal galloping bouts of greater length. This study is based on data collected in this enclosure. In order to validate the accelerometer as a way to characterize locomotor patterns, behavioral data from video records, and from notes on observations were compared with over 4 h of data on acceleration collected at 100 Hz. Although the ultimate goal of the project is to collect in the field for 24 h or longer, this study is limited to recording one animal over a 4-h period because of the limitations of the protocol. At present the DLC will allow the animal to wear the unit for that period. In addition, we wanted to be able to observe all behaviors during the recording period to be confident of our assessment. For two people to follow and collect notes precisely, 4 h was a reasonable time. Time and acceleration in three directions were imported into a custom Matlab (Mathworks, Natick, MA) program for analysis. Data were smoothed using a 4th order Butterworth (5 Hz) filter. Peak acceleration values over 20 Hz were identified as leaps, and all leaps were matched with locomotor behavior data such that the frequency with which the program counted or missed leaps could be quantified, thus making comparisons between sequences of leaping and bipedal galloping. Although all three components of the acceleration profile are available, in this article we concentrate on the vertical profile because of the predictions of our ballistic model (see ‘‘Results’’ section). Therefore these were analyzed first. Although we recognize the importance of rotation (Dunbar 1988) we have less strong predictions about horizontal accelerations, and there are greater filtering challenges to be met with these components. We wanted to see how effective vertical patterns alone would be in identifying leaps and gallops and comparing costs using the models described below. Series of leaps or bipedal gallops were automatically identified by finding local maxima that were ‘‘close’’ to each other. This measure of closeness is a free parameter but is associated with the length of 1153 Arboreal and terrestrial locomotion in sifaka Fig. 4 Sample acceleration signal (left) that has been integrated to give velocity (middle) and integrated again to provide position (right). The dark gray middle section represents the aerial phase and the light gray ends the takeoff and landing phase. time between consecutive leaps or gallops in a sequence. ODBA was calculated as the sum of the absolute values of the dynamic accelerations from each of the three axes (Wilson et al. 2006; Shepard et al. 2008a, 2008b; Gleiss et al. 2011): ODBA ¼ jAx j þ jAy j þ jAz j Previous methods for calculation of ODBA isolate the static acceleration from the dynamic accelerations by first smoothing the accelerations in each axis to approximate the static component (gravitational acceleration) and subtracting this from the total acceleration to isolate the dynamic component. We do not know the orientation of the animal or changes in body position during the movements we are analyzing, but we do know that the orientation of the animal (and the accelerometer relative to the movements measured) is similar during the locomotor behaviors we are comparing, so we did not perform this step but rather made the assumption that the gravitational contribution would be similar in each condition. Because of this difficulty of insuring consistent placement and orientation of the accelerometer on the animal as it moves in three dimensions, we also calculated VeDBA, as it has been suggested that the VeDBA may be a more accurate predictor of activity in these situations (McGregor et al. 2009, but also see Qasem et al. 2012): r ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi VeDBA ¼ A2x þ A2y þ A2z Peak accelerations, number of peaks, ODBA, and VeDBA were compared across bouts of single leaps, multiple leaps, and bipedal gallops to assess the extent to which these modes of locomotion in sifakas involve similar levels of musculoskeletal load and energy expenditure. Results Characterization of leaping using acceleration A leap can be modeled as a mass (the animal’s center of mass) following a projectile path, and the aerial phase of the leaps we observed follow that path closely. The only portion of the leap that varies substantially from the path of a projectile is the middle phase in which a small deviation is observed in the acceleration signal (arrow in Fig. 4). This is the point at which the animal pulls its legs up, raising the level of the center of mass and providing extra air time and distance in the air. We were able to identify correctly over 85% of the bouts of leaping and automatically quantify the height of peaks, ODBA, and VeDBA for these bouts. The most frequent mis-identification of locomotor behaviors is recording bipedal galloping as leaping. Series of bipedal galloping exhibit high peaks in rapid sequence that resembles the high, rapidly-sequenced peaks of leaping, thereby reinforcing the dynamic similarity of these two behaviors (Fig. 5). We compared single leaps to the more typical multiple-leap bouts, which from the perspective of whole-body dynamics, are also quite similar to bipedalism. While single leaps exhibit two acceleration peaks, multiple-leap bouts exhibit a slightly different pattern. Rather than exhibiting two peaks per leap, accelerations during landing and take-off of consecutive leaps combine to form single intermediate peak acceleration, greater than either the take-off peak or the landing peak. So for each series of leaps, the number of peaks is one less than expected for independent take-off and landing, and the animal is redirecting its center of mass one less time than it would if it took separate single leaps. Leaping versus bipedalism Quantification of the dynamics of leaping and bipedalism was performed by comparing peak 1154 R. E. Wunderlich et al. Fig. 5 (A) Four leap series illustrating both raw (dotted) and smoothed (solid) vertical acceleration data with peaks used to identify leaps. Peak resultant accelerations were calculated at these same peaks. (B) Series of five bipedal galloping strides illustrating the similarity of vertical acceleration signals. accelerations and dynamic body accelerations of 51 bouts of leaping (including single and multiple leaps) and 81 bouts of bipedalism over the course of the sampling period. There was no significant difference in peak accelerations between leaping and bipedalism (mean leaping ¼ 68.7; mean bipedalism ¼ 63.1; P ¼ 0.08). Estimation of the energetics of a particular movement or of daily energy expenditure due to locomotion is quantified as ODBA and VeDBA. There were also no significant differences between ODBA or VeDBA between leaping and bipedalism, suggesting a similar overall contribution of each type of locomotion to energy expenditure due to locomotion. When we divide ODBA by the number of leaps in a multiple-leap series, we find that ODBA values are Arboreal and terrestrial locomotion in sifaka 1155 Fig. 6 ODBA during leaping and bipedalism, demonstrating the relative reduction of ODBA during multiple leaps or gallops relative to single leaps or gallops. relatively high for single leaps, but that ODBA drops dramatically for two-leap bouts and continues to drop for multiple-leap bouts. In other words, for series involving a larger number of leaps, the relative contribution of a leap to energy expenditure is much less, suggesting a possible energy-saving mechanism for bouts of multiple leaps. A similar pattern is observed during bipedalism. It is clear that the major reduction in energy-cost occurs between single leaps and bouts of multiple leaps, and this likely occurs because of the reduction in number of acceleration peaks; whereas a single leap has two acceleration peaks, a two-leap bout has three acceleration peaks, the middle peak being the landing peak of the first leap and the takeoff peak of the second. Discussion Energy expenditure and musculoskeletal load are essential components of an animal’s fitness, and the importance of these factors to fitness in saltatory species, despite their frequent use of inefficient paths, is well accepted (Crompton et al. 1993). The specialized vertical clinging and leaping of sifakas, as well as their enigmatic bipedal galloping gait on the ground, beg inquisition as to the relationship between these activities, as well as the energetic and biomechanical advantages of each. Measurement of peak accelerations as well as whole-body, dynamic accelerations have provided preliminary insight into each of these. Previous work has demonstrated the kinematic similarity of leaping and bipedal galloping in sifakas (Wunderlich and Schaum 2007). Triaxial accelerometry demonstrates the kinematic similarity of these two movements with their high vertical accelerations of similar magnitude, closely spaced in time, such that these movements are consistently miscategorized using vertical accelerations alone. Efforts are in progress to use the horizontal components of acceleration to distinguish these patterns of movement, as they differ primarily in that sifakas maintain trunk position through multiple bipedal gallops while they twist their trunk in each leap from one vertical support to the next. ODBA and VeDBA have been consistently associated with energy expenditure both in mammals, including humans, and in birds (Wilson et al. 2006; Green et al. 2009; Gleiss et al. 2011; Qasem et al. 2012). While a direct measure of metabolic rate requires calibration for the species and activity being measured (Qasem et al. 2012), comparison within a species of similar locomotor behaviors is justified and should reflect the relative energetic cost of these activities. In our analysis, ODBA and VeDBA did not differ significantly between leaping and bipedal galloping, suggesting that these dynamically similar activities involve expending a similar level of energy. Behavioral data, however, demonstrate that the strides of bipedal galloping tend to be limited to about 1.0–1.5 m, whereas leaps can be 2–3 times this long at similar accelerations, suggesting that cost of transport for leaping is actually substantially less than that for bipedal galloping. Accelerometry can be calibrated for measurement of distances, and this information will be essential for obtaining a complete understanding of daily energy costs and locomotor ecology in leaping primates (Crompton et al. 1993; Sellers and Crompton 2004). 1156 The locomotor strategies defined here for the individual suggest that leaping is more cost effective than bipedal galloping and that leaping and bipedal galloping with multiple events in series may minimize energetic cost compared with single leaps or single bipedal strides. More details are needed, but preliminary studies suggest an explanation that connects to the efforts required to redirect the center of mass. We suggest that sifakas may be able use the energy from a landing to generate a least portion of the energy needed for the next takeoff. The evidence for this is the single intermediate peaks in multiple-leap bouts. These peaks are similar in size to take-off and landing peaks in a single leap bout. In other words, a single leap will have two peaks, one for take-off and one for landing. However, a leaping bout of two leaps will have only three peaks, one for take-off, one for landing and the next take-off, and one for the last landing. This reduces the work done redirecting the center of mass in multiple leaps. Bipedal galloping may similarly reduce the costs of redirecting the center of mass, the collisional costs described by Ruina et al. (2005), Biewener (2006), and Lee et al. (2013). Those authors have shown that, in theory, animals can reduce costs of locomotion by minimizing the magnitude of collisions (redirections of the center of mass), involving multiple limbs in the collision, and utilizing path-tracking that allows the collision to develop pseudoelastic properties. Baumgartner et al. (2009; Gardiner et al. 2013, manuscript in preparation) have demonstrated that bipedal galloping minimizes the number of redirections of the center of mass and sequences footfalls to minimize the work required to redirect the center of mass. This study has demonstrated the ease of application of accelerometers in captive and free-roaming settings and the ability to identify specific movement patterns in the absence of direct observation. Furthermore, although the sample is limited, the data collected point to ways in which the unusual locomotor patterns—especially bipedal galloping—of sifakas reflect potential selective pressures on a highly specialized leaping animal that often must also transition to the ground for locomotion. What appeared at first to be a constraint (i.e., that the adaptations associated with leaping forced the animal to adopt an unusual bipedal gait) may, with further data, reflect a sensible solution utilizing a form of bipedalism that is highly effective on the ground. Acknowledgments Thank you to Dave Brewer, Erin Ehmke, Sarah Zehr and the rest of the staff at the Duke Lemur Center for their assistance with animal handling and support R. E. Wunderlich et al. in the project. Johannes Rosenmoeller and Andreas Becker (HuMotion, GMBH) provided substantial technical support and advice. Thank you to Brittany Wilhelm and Sara Ischinger for their contributions to the collection and analysis of data in the early stages of this project. Many thanks to Rick Blob and Tim Higham for organizing this symposium and for providing the opportunity to participate. Funding The Jeffress Memorial Trust, Sigma Xi, and the National Science Foundation (NSF-UBM DMS0734284) have provided support for this research. Support for participation in this symposium was provided by the Company of Biologists, and the Society for Integrative and Comparative Biology (Divisions of Vertebrate Morphology, Comparative Biomechanics, Neurobiology, and Animal Behavior). References Ahn AN, Furrow E, Biewener AA. 2004. Walking and running in the red-legged running frog, Kassina maculata. J Exp Biol 207(Pt 3):399–410. Altmann J. 1974. Observational study of behavior: Sampling methods. Behaviour 49:227–67. Andrews J, Birkinshaw C. 1998. A comparison between the daytime and nightime diet, activity and feeding height of the black lemur, Eulemur macaco (primates: Lemuridae), in Lokobe forest, Madagascar. Folia Primatol 69:175–82. Baumgartner RE, Wunderlich RE, Schmitt D. 2009. Collisional biomechanics during sifaka bipedalism, Proceedings of the annual meeting of the Society of Integrative and Comparative Biology, Boston, MA. Biewener A. 2006. Patterns of mechanical energy change in tetrapod gait: Pendula, springs and work. J Exp Zool A Comp Exp Biol 305:899–911. Butler PJ, Green JA, Boyd IL, Speakman JR. 2004. Essay review measuring metabolic rate in the field: The pros and cons of the doubly labelled water and heart rate methods. Funct Ecol 18:168–83. Byrnes G, Libby T, Lim NT, Spence AJ. 2011a. Gliding saves time but not energy in Malayan colugos. J Exp Biol 214(Pt 16):2690–6. Byrnes G, Lim NT-, Spence AJ. 2008. Take-off and landing kinetics of a free-ranging gliding mammal, the Malayan colugo (Galeopterus variegatus). Proc Biol Sci 275:1007–13. Byrnes G, Lim NTL, Yeong C, Spence AJ. 2011b. Sex differences in the locomotor ecology of a gliding mammal, the Malayan colugo (Galeopterus variegatus). J Mammal 92:444. Cavagna GA, Heglund NC, Taylor CR. 1977. Mechanical work in terrestrial locomotion: Two basic mechanisms for minimizing energy expenditure. Am J Physiol 233:R243–61. Crompton RH, Sellers WI, Gunther MM. 1993. Energetic efficiency and ecology as selective factors in the saltatory adaptation of prosimian primates. Proc Biol Sci 254:41–5. Arboreal and terrestrial locomotion in sifaka Demes B, O’Neill MC. 2013. Ground reaction forces and center of mass mechanics of bipedal capuchin monkeys: Implications for the evolution of human bipedalism. Am J Phys Anthropol 150:76–86. Duarte M, Hanna J, Sanches E, Liu Q, Fragaszy D. 2012. Kinematics of bipedal locomotion while carrying a load in the arms in bearded capuchin monkeys (Sapajus libidinosus). J Hum Evol 63:851–8. Dunbar DC. 1988. Aerial maneuvers of leaping lemurs: The physics of whole-body rotations while airborne. Am J Primatol 16:291–303. Erkert HG, Kappeler PM. 2004. Arrived in the light: Diel and seasonal activity patterns in wild Verreaux’s sifakas (Propithecus v. verreauxi; primates: Indriidae). Behav Ecol Sociobiol 57:174–86. Fleagle JG. 1977. Locomotor behavior and muscular anatomy of sympatric Malaysian leaf-monkeys (Presbytis obscura and Presbytis melalophos). Am J Phys Anthropol 46:297–307. Fleagle JG. 2013. Primate adaptation and evolution, 3rd edn. New York: Academic Press. Fragaszy D, Pickering T, Liu Q, Izar P, Ottoni E, Visalberghi E. 2010. Bearded capuchin monkeys’ and a human’s efficiency at cracking palm nuts with stone tools: Field experiments. Anim Behav 79:321–32. Frappell P, Blevin H, Baudinette R. 1989. Understanding respirometry chambers: What goes in must come out. J Theor Biol 138:479–94. Gardiner JG, Wunderlich RE, Wilhelm B, Tongen A, Miller C, Schmitt D. 2013. Using accelerometry to study leaping performance in free-ranging sifakas (Propithecus verreauxi). Knoxville: American Association of Physical Anthropologists Meeting. Gleiss AC, Wilson RP, Shepard ELC. 2011. Making overall dynamic body acceleration work: On the theory of acceleration as a proxy for energy expenditure. Meth Ecol Evol 2:23. Green JA, Halsey LG, Wilson RP, Frappell PB. 2009. Estimating energy expenditure of animals using the accelerometry technique: Activity, inactivity and comparison with the heart-rate technique. J Exp Biol 212:471–82. Griffin TM, Kram R. 2000. Biomechanics: Penguin waddling is not wasteful. Nature 408:929. Griffin TM, Main RP, Farley CT. 2004. Biomechanics of quadrupedal walking: How do four-legged animals achieve inverted pendulum-like movements? J Exp Biol 207:3545. Griffin TM, Roberts TJ, Kram R. 2003. Metabolic cost of generating muscular force in human walking: Insights from load-carrying and speed experiments. J Appl Physiol 95:172. Hanna JB, Schmitt D, Griffin TM. 2008. The energetic cost of climbing in primates. Science 320:898. Hoyt DF, Taylor CR. 1981. Gait and the energetics of locomotion in horses. Nature 292:239–40. Kimura T. 1985. Bipedal and quadrupedal walking of primates: comparative dynamics. In: Kondo S, editor. Primate morphophysiology, locomotor analyses and human bipedalism. Tokyo: University of Tokyo Press. p. 81–104. Kuo AD, Donelan JM, Ruina A. 2005. Energetic consequences of walking like an inverted pendulum: Step-to-step transitions. Exerc Sport Sci Rev 33:88–97. 1157 Lammers AR, Zurcher U. 2011. Torque around the center of mass: dynamic stability during quadrupedal arboreal locomotion in the Siberian chipmunk (Tamias sibiricus). Zoology 114:95–103. Lee DV, Bertram JE, Anttonen JT, Ros IG, Harris SL, Biewener AA. 2011. A collisional perspective on quadrupedal gait dynamics. J R Soc Interface 8:1480–6. Lee DV, Comanescu TN, Butcher MT, Bertram JE. 2013. A comparative collision-based analysis of human gait. Proc Biol Sci 280:20131779. Leonard WR, Robertson ML. 1997. Comparative primate energetics and hominid evolution. Am J Phys Anthropol 102:265–81. Liu Q, Simpson K, Izar P, Ottoni E, Visalberghi E, Fragaszy D. 2009. Kinematics and energetics of nut-cracking in wild capuchin monkeys (Cebus libidinosus) in piauı́, brazil. Am J Phys Anthropol 138:210–20. McGregor SJ, Busa MA, Yaggie JA, Bollt EM. 2009. High resolution MEMS accelerometers to estimate VO2 and compare running mechanics between highly trained intercollegiate and untrained runners. PLoS One 4:e7355. Napier J, Walker A. 1967. Vertical clinging and leaping–a newly recognized category of locomotor behaviour of primates. Folia Primatol 6:204–19. O’Neill MC, Schmitt D. 2012. The gaits of primates: Center of mass mechanics in walking, cantering and galloping ringtailed lemurs, Lemur catta. J Exp Biol 215(Pt 10):1728–39. Oxnard CE, Crompton RH, Lieberman SS. 1990. Animal lifestyles and anatomies: The case of the prosimian primates. Seattle: University of Washington Press. p. 1145, ID: 49. Pfau T, Witte TH, Wilson AM. 2005. A method for deriving displacement data during cyclical movement using an inertial sensor. J Exp Biol 208(Pt 13):2503–14. Pfau T, Witte TH, Wilson AM. 2006. Centre of mass movement and mechanical energy fluctuation during gallop locomotion in the Thoroughbred racehorse. J Exp Biol 209:3742–57. Preston T, Baltzer W, Trost S. 2012. Accelerometer validity and placement for detection of changes in physical activity in dogs under controlled conditions on a treadmill. Res Vet Sci 93:412–6. Qasem L, Cardew A, Wilson A, Griffiths I, Halsey LG, Shepard ELC, Gleiss AC, Wilson R. 2012. Tri-axial dynamic acceleration as a proxy for animal energy expenditure; should we be summing values or calculating the vector? Plos One 7:1–8. Ren L, Hutchinson JR. 2008. The three-dimensional locomotor dynamics of african (Loxodonta africana) and Asian (Elephas maximus) elephants reveal a smooth gait transition at moderate speed. J R Soc Interface 5:195–211. Reynolds TR. 1985a. Mechanics of increased support of weight by the hindlimbs in primates. Am J Phys Anthropol 67:335–49. Reynolds TR. 1985b. Stresses on the limbs of quadrupedal primates. Am J Phys Anthropol 67:351–62. Ruina A, Bertram JEA, Srinivasan M. 2005. a collisional model of the energetic cost of support work qualitatively explains leg sequencing in walking and galloping, pseudo-elastic leg behavior in running and the walk-torun transition. J Theor Biol 237:170. 1158 Schmitt D. 2003. Insights into the evolution of human bipedalism from experimental studies of humans and other primates. J Exp Biol 206(Pt 9):1437–48. Sellers WI. 2008. Leaping and accelerometry: a theoretical approach, Available from Nature Precedings (http://hdl. handle.net/10101/npre.2008.2515.1). Sellers WI, Crompton RH. 1994. A system for 2- and 3-D kinematic and kinetic analysis of locomotion, and its application to analysis of the energetic efficiency of jumping in prosimians. Z Morph Anthropol 80:99–108. Sellers WI, Crompton RH. 2004. Automatic monitoring of primate locomotor behaviour using accelerometers. Folia Primatol (Basel) 75:279–93. Shepard EL, Wilson RP, Halsey LG, Quintana F, Laich AG, Gleiss AC, Liebsch N, Myers AE, Norman B. 2008a. Derivation of body motion via appropriate smoothing of acceleration data. Aquat Biol 4:235–41. Shepard EL, Wilson RP, Quintana F, Laich AG, Liebsch N, Albareda DA, Halsey LG, Gleiss AC, Liebsch N, Morgan DT, et al. 2008b. Identification of animal movement patterns using tri-axial accelerometry. Endang Species Res 10:47–60. Speakman JR. 1998. The history and theory of the doubly labeled water technique. Am J Clin Nutr 68:932S–8S. Stern JT Jr. 1976. Before bipedality. Yrbk Phys Anthropol 20:59–68. R. E. Wunderlich et al. Taylor CR, Heglund NC, Maloiy GM. 1982. Energetics and mechanics of terrestrial locomotion. I. Metabolic energy consumption as a function of speed and body size in birds and mammals. J Exp Biol 97:1–21. Thorpe SKS, Holder RL, Crompton RH. 2007. Origin of human bipedalism as an adaptation for locomotion on flexible branches. Science 316:1328. Usherwood JR, Szymanek KL, Daley MA. 2008. Compass gait mechanics account for top walking speeds in ducks and humans. J Exp Biol 211(Pt 23):3744–9. Usherwood JR, Williams SB, Wilson AM. 2007. Mechanics of dog walking compared with passive, stiff-limbed, 4-bar linkage model, and their collisional implications. J Exp Biol 210:533–60. Vereecke EE, D’Aout K, Aerts P. 2006. The dynamics of hylobatid bipedalism: Evidence for an energy-saving mechanism? J Exp Biol 209(Pt 15):2829–38. Wilson RP, White CR, Quintana F, Halsey LG, Liebsch N, Martin GR, Butler PJ. 2006. Moving towards acceleration for estimates of activity-specific metabolic rate in free-living animals: The case of the cormorant. J Anim Ecol 75:1081–90. Wood-Jones F. 1916. Arboreal man. London: Edward Arnold. Wunderlich R, Schaum J. 2007. Kinematics of bipedalism in Propithecus verreauxi. J Zool 272:165–75. Zani PA, Gottschall JS, Kram R. 2005. Giant galapagos tortoises walk without inverted pendulum mechanical-energy exchange. J Exp Biol 208(Pt 8):1489–94.
© Copyright 2026 Paperzz