Asymmetric gait in locomotion of Hypsiprymnodon moschatus, the most primitive extant macropodoid marsupial
Peter J. Bishop
A
B
C
# These authors contributed equally to this work.
Handling Editor: Christine Cooper
Abstract
The evolutionary history of kangaroos and their relatives cannot be understood without considering the origins of their diverse locomotor behaviours, especially hopping. As the most primitive extant macropodoid, the musky rat-kangaroo, Hypsiprymnodon moschatus, can offer insight into evolution within the group, including the origin of bipedal hopping locomotion. Adult H. moschatus individuals were filmed in the wild to study their locomotor behaviour. Quantitative analysis of temporal footfall patterns showed that H. moschatus uses exclusively asymmetric gaits across slow and fast speeds of locomotion, predominantly employing a bounding gait. In addition, observations confirmed that it is restricted to quadrupedal gaits even at very fast speeds; there remains no evidence of hopping in this species. These results support the hypothesis that a shift to an asymmetric-gait-dominant locomotor repertoire was a functional prerequisite in the evolution of bipedal hopping in macropodoids.
Keywords: asymmetric gait, biomechanics, bounding, evolution, hopping, Hypsiprymnodon, locomotion, macropodoid, marsupial.
Introduction
One of the most distinctive modes of locomotion among mammals is bipedal hopping, which has evolved at least once in macropodoid marsupials (kangaroos and relatives), four times in rodents and possibly once in extinct argyrolagid marsupials (McGowan and Collins 2018; Jones et al. 2024). Hopping in macropodoids is particularly remarkable for the high energy economy manifested at fast speeds in some species (Dawson and Taylor 1973; Baudinette et al. 1992; Webster and Dawson 2003), as well as the fact that they are the only hopping mammals known to have evolved wherein adult body masses usually exceed 3 kg (Jones et al. 2024). The origins of this charismatic form of locomotion within marsupials, and why it is rare among Mammalia more broadly, remain important unsolved questions.
In terrestrial locomotion, extant ‘ameridelphian’ marsupials (opossums and relatives) typically use symmetric gaits across most or their entire range of speeds (White 1990; Pridmore 1994; Cartmill et al. 2002; Parchman et al. 2003; Reilly et al. 2009; Biknevicius et al. 2013). That is, touch-down and lift-off events of the left and right feet of a limb pair are evenly spaced in time; examples of such gaits include walking and trotting. In contrast, many extant Australian marsupials incorporate asymmetric gaits into their gait repertoire, particularly at higher speeds (Windsor and Dagg 1971; Dagg 1973; Hildebrand 1977; Goldfinch and Molnar 1978; White 1990; Bennett and Garden 2004; Gaschk et al. 2019). Here, touch-down and lift-off events of the left and right feet of a limb pair are not evenly spaced in time, being temporally ‘gathered’ into one part of the stride cycle; that is, more synchronised with one another, as in bounding or galloping (Hildebrand 1977). Within Macropodoidea, the small, early-diverging potoroids employ a combination of quadrupedal bounding and bipedal hopping at fast speeds (Buchmann and Guiler 1974; Baudinette et al. 1993), which may suggest that adoption of this asymmetric quadrupedal gait was a precursor to the evolution of bipedal hopping in macropodids (Burk et al. 1998; Bennett 2000; McGowan and Collins 2018).
The musky rat-kangaroo, Hypsiprymnodon moschatus, is the sole extant member of the family Hypsiprymnodontidae and the most primitive living macropodoid (Burk et al. 1998; Prideaux and Warburton 2010; Westerman et al. 2022). Understanding locomotion in this species can provide important context for interpreting locomotor evolution within Macropodoidea, including the origins of bipedal hopping. Although locomotion in H. moschatus is frequently mentioned in passing by studies of macropodoid evolution, in reality only a single, brief, qualitative, first-hand description of locomotor behaviour has actually been published (Johnson and Strahan 1982, p. 39). That account implied the use of a bounding-like gait and, importantly, that this is used even at fast speeds, without the adoption of bipedalism (Johnson and Strahan 1982). The present study sought to clarify and expand on these prior observations, by using video recordings to provide the first quantitative assessment of gait patterns in H. moschatus. Through comparison to data for terrestrial locomotion in other quadrupedal marsupials, this offers the necessary first step for evaluating ancestral locomotor behaviour in Macropodoidea.
Materials and methods
Data collection
All protocols were approved by the Flinders University Animal Welfare Committee (Approval number AERP2525-1) and the Queensland Department of Environment and Science (Approval number P-PTUKI-100022063). Wild, free-ranging individuals of H. moschatus were filmed in minimally disturbed tropical rainforest habitat at Lake Eacham, Atherton Tableland, far-northern Queensland (approximately 17°17′19″S, 145°38′01″E), across 8–14 October 2020. This corresponds to the onset of the breeding season or, for adults already with young, the eviction of young from the pouch (Dennis 1997); all individuals observed and analysed were adults, almost all of which were solitary. Although wild and free-ranging, it was observed that the animals were somewhat habituated to human presence, given the proximity of the study location to tourism developments.
Animals were filmed using remote (SpyPoint Force 20; Spypoint, Victoriaville, Canada) and manned (iPhone 11; Apple, Cupertino, USA) camera setups. Consequently, the data collected here correspond to natural behaviour that may not be recorded with as great a fidelity in an artificial, laboratory-based setup. Although remote setups operated all day, animals were predominantly active and filmed during 5:00 am to 11:00 am and 2:30 pm to 6:00 pm. Filming captured both foraging and ‘escape’ behaviours (explained below), two key components of daily activity. Filming focused on areas of rainforest with small clearings of approximately flat ground, providing limited obstruction to level terrestrial locomotion. Analysis focused on bouts of locomotion that occurred over level ground and in an approximately straight line; behaviours involving climbing or navigating large logs or other obstacles were excluded. Owing to logistical constraints, animals were filmed at a framerate of 25–30 Hz, which is lower than that used in typical experimental laboratory setups. As a result, detecting the exact timing of foot touch-down and lift-off carries a higher level of imprecision, which may have consequences for downstream gait analysis. This was addressed accordingly as described below.
Data analysis
A ‘locomotor bout’ was recognised as comprising at least two consecutive strides made with minimal or no pausing between each stride. Each separate locomotor bout contributed a single observation to the dataset and analysis. Without being able to mark individuals, it was not possible to account for the number of individuals filmed over the study period, nor whether any were filmed on multiple occasions. The occurrence of repeated measurements could therefore not be strictly accounted for; at the very least, in instances where one individual presented multiple locomotor bouts in a single video, only one locomotor bout was selected for downstream analysis. For each bout, touch-down and lift-off events for all four limbs were digitised from the videos by using GaitKeeper3 (Dunham et al. 2018), a set of code in MATLAB (ver. 9.5, MathWorks, Inc., Natick, USA; https://www.mathworks.com/); raw timestamp data of touch-down and lift-off events in each analysed trial are provided in Supplementary Data S1. From these events, parameters describing the relative timing and duration of stance and swing phases over a stride cycle were computed. Because H. moschatus was observed to use only asymmetric gaits, only the following six parameters of Hildebrand (1977) were used:
Duty factor of the forelimb (βfore), the proportion of the stride cycle that the forelimb is in contact with the ground, averaged across left and right mani.
Duty factor of the hindlimb (βhind), averaged across left and right pedes.
Forelimb lead (λfore), the temporal lag between touch-down of the left and right mani divided by the mean duration of stance phase (averaged across left and right mani).
Hindlimb lead (λhind), calculated in a similar fashion for λfore.
Mid-time lag (δmid), the temporal lag between (a) the instant midway through the duration of contact by one or both mani, and (b) the instant midway through the duration of contact by one or both pedes, divided by the stride duration.
Hindlimb support duration (thind), the proportion of the stride where at least one pes is in contact with the ground.
All six parameters were expressed as percentages.
Because of the minimally invasive, less controlled method of data collection, it was not possible to accurately quantify the dimensions of a given individual, nor the speed of a given locomotor bout. However, observed bouts could be broadly classified into the following two speed categories: slower ‘foraging’, involving two or three consecutive strides at most, interspersed with active feeding; and faster ‘escape’, involving multiple consecutive strides at an ostensibly higher speed. The latter was often associated with intra- or interspecific agonistic interactions, with the latter involving the Australian brush turkey (Alectura lathami). In lieu of a quantitative characterisation, these categories can still offer some qualitative insight into how locomotion varies with speed. Exemplar videos of ‘foraging’ and ‘escape’ locomotor bouts are provided in Supplementary Videos S1, S2. Difference in gait parameters between the two speed categories were assessed individually via Mann–Whitney U tests, and collectively via a one-way, non-parametric, multivariate ANOVA (PERMANOVA; vegan, ver. 2.6-4 package; https://CRAN.R-project.org/package=vegan), in R (ver. 4.1.0; R Core Team 2021; https://www.r-project.org/; see Supplementary Code S1).
Compared with conventional laboratory-based setups, the lower framerate used to film the animals will lead to greater imprecision in quantifying the timing of foot touch-down and lift-off. To explore the potential sensitivity of the calculated gait parameters to this imprecision, a Monte Carlo simulation was performed, wherein the timings of foot touch-down or lift-off were randomly perturbed from the original measurements and the parameters recalculated. Because the frames originally identified in the videos are considered to correspond in time more closely to the ‘true’ instant of touch-down/lift-off than either the preceding or successive frames, error in detection of the ‘true’ instant has a range of 0.5 frames either side of the originally chosen frame. Thus, in the simulations, timing of a given event was randomly perturbed by up to ±0.5 frames, sampling from a uniform distribution. The parameters for each locomotor bout were simulated as such with 1000 replicates, and the distribution of results evaluated by using a kernel smoothing function in MATLAB. The code used to perform the analysis and simulation is provided in Supplementary Code S2.
Comparison
The results obtained here for H. moschatus were compared with previously published quantitative datasets for asymmetric gait in several other habitually quadrupedal Australian marsupials, including common brush-tailed possum (Trichosurus vulpecula: White 1990), northern quoll (Dasyurus hallucatus: White 1990), long-nosed bandicoot (Perameles sp.: Hildebrand 1977) and northern brown bandicoot (Isoodon macrourus: Bennett and Garden 2004). Possums and quolls are scansorial, whereas bandicoots, as with H. moschatus, are essentially terrestrial. Although this provides useful comparative context, it should be noted that the data for Trichosurus, Dasyurus and Isoodon were recorded for treadmill locomotion in a laboratory setup, as opposed to ‘natural’ behaviour in H. moschatus. Conversely, it is more likely that for these three taxa, almost their entire speed range (and by inference, their gait repertoire) was captured, something that is less certain for H. moschatus. Furthermore, these comparison species were also able to be filmed at a higher temporal resolution, up to 250 Hz (White 1990; Bennett and Garden 2004).
Limb bone proportions
To provide further context for assessing gait in H. moschatus, humerus and femur length and midshaft circumference were collated for 64 marsupials and 64 rodents, spanning a broad diversity of habitually quadrupedal and facultatively bipedal species. Data were collected from specimens of adult individuals registered in museum or university osteological collections; see Supplementary Data S2, for raw measurements and a list of institutional sources. A combination of physical and digital measurements was used. Physical measurements were made with calipers or flexible tape for bone lengths (measured from proximal articular surface to distal articular surface, excluding trochanters or tuberosities) and fine steel wire for bone circumferences; for specimens that had been previously digitised, digital measurements were made on triangulated mesh models of the bones by using in-built measuring tools in Rhinoceros (ver. 4.0, McNeel, Seattle, USA; https://www.rhino3d.com/). Data collected here were also supplemented with measurements reported by Carrano (1998) and Campione and Evans (2012). Differences in allometric patterns between bipedal and quadrupedal species were evaluated using phylogenetic generalised least squares (pGLS) and phylogenetic analysis of covariance (pANCOVA; Smaers and Rohlf 2016). These used model-based tests to assess differences in slope and intercept (separately and together; Smaers and Rohlf 2016) between groups, and were implemented in R following the approach outlined by Bishop et al. (2021; see Supplementary Code S3). Tests used a single, fully resolved, time-calibrated phylogenetic tree of all 128 taxa, generated using the TimeTree database (www.timetree.org; Hedges et al. 2006), but were also re-run without accounting for phylogenetic relatedness among species.
Results
Across the entire set of observations made here for level terrestrial locomotion, H. moschatus exclusively used an asymmetric, quadrupedal gait (Fig. 1a). In total, 74 ‘foraging’ bouts and 9 ‘escape’ bouts were able to be sufficiently quantified, and Monte Carlo simulations showed that potential imprecision in footfall event detection does not alter the general patterns recovered (Fig. 1b–d). Considering all six of Hildebrand’s (1977) parameters together, foraging and escape bouts are clearly distinguished in gait space (PERMANOVA: F1,81 = 31.979, P < 0.001). As expected, periods of limb support were proportionally lower in the ostensibly faster escape bouts (Fig. 1b, d; Mann–Whitney U = 18, P < 0.001); the average number of limbs in contact with the ground across the stride was 1.44 ± 0.45 in escape versus 2.62 ± 0.47 (mean ± s.d.) in foraging. Escape bouts also tended to involve a substantial aerial phase (i.e. when all four limbs are not in contact with the ground), up to 40% of the stride, corresponding to ‘extended suspension’, where the forelimbs spread forwards and the hindlimbs spread backwards. Few foraging bouts contained any element of an aerial phase, which were transient.
Asymmetric gait use in Hypsiprymnodon moschatus, and comparison to previous observations for other quadrupedal marsupials. (a) Time lapse of two strides from exemplar bout of ‘foraging’ speed locomotion. (b–d) Plots of standard gait parameters as defined by Hildebrand (1977), showing fore- and hindlimb duty factors (b; βfore and βhind respectively), fore- and hindlimb lead times (c; λfore and λhind respectively), and limb coordination in terms of mid-time lag and hindlimb support (d; δmid and thind respectively). Original observations plotted as circles, with 50% (dark) and 90% (light) contours of a kernel-estimated probability density function fitted to the results of the Monte Carlo sensitivity simulations. (e–g) Plot of same gait parameters as previously reported for other Australian quadrupedal marsupials, shown as convex hulls circumscribing the full spread of observations. Note that data for Perameles sp. were recorded for a limited number of trials (Hildebrand 1977); so, they are unlikely to span the full range of gaits or speeds employed.

Compared with the asymmetric gaits reported for other quadrupedal marsupials (Fig. 1e–g), H. moschatus uses a notably different gait repertoire, consistently involving very small fore- and hindlimb leads across all speeds (Fig. 1c, f), corresponding to a ‘bound’ or ‘half-bound’. Although the threshold between a bound and a half-bound is subjective (Hildebrand 1977), H. moschatus clearly uses a gait closer to a pure bound, where fore- and hindlimb leads are zero (clustering in the top-right corner of Fig. 1c), in turn resulting in the consistent use of extended suspension at fast speeds (Fig. 1d). Other quadrupedal marsupials tend to use a half-bound or alternatively some form of gallop (see also Dagg 1973; Hildebrand 1977; Baudinette 1994), incorporating a substantial non-zero forelimb lag, and periods of extended or gathered suspension (or both).
Beyond the data reported here, a bounding gait in H. moschatus was observed in numerous other locomotor bouts that were unable to be quantitatively characterised. This included very fast bouts where fewer than two strides were recorded in the video frame of view. Even in body repositioning or reorienting manoeuvres, the forelimb and (especially) hindlimb pairs were almost invariably moved together as a single unit. Independent steps of a single forelimb were occasionally observed during stop–start foraging activity (e.g. reaching forwards toward food); even then, whenever the hindlimbs were moved, they moved as a set (see Supplementary Video S3).
All four limb bone measurements exhibited a moderate influence of phylogenetic signal, according to the K statistic of Blomberg et al. (2003), which varied between 0.2699 and 0.4432 (associated P-values all <0.001). Across the marsupials and rodents measured, the humerus of facultatively bipedal species, in general, tends to be shorter and more gracile relative to the femur than in quadrupeds (Fig. 2, Table 1). This appears to be primarily due to differences in allometric intercept, although in each case allometric slopes are also significantly different (Table 1); indeed, the allometric trajectories for lengths converge at large body size when phylogeny is taken into account (Fig. 2a), suggesting that differences in length may be legitimately associated with locomotor mode only in smaller taxa. The 95% prediction intervals for each group’s pGLS fit is broad enough to encompass numerous datapoints from the other group, especially when phylogeny is taken into account (Fig. 2a, c). The proportions of H. moschatus fall between those of the biped and quadruped fits, and within the 95% prediction intervals of both, but consistently fall closer to the expected mean for quadrupeds (purple lines in Fig. 2).
Humerus and femur proportions in marsupials and rodents. (a, b) Bone lengths. (c, d) Minimum diaphyseal circumferences. Generalised least squares regressions and 95% prediction intervals for each group are also presented, both (a, c) considering and (b, d) ignoring the effects of phylogeny. Also reported are regression coefficients for bipeds and quadrupeds (expressed in terms of log10-transformed data). For bone lengths, regressions are also presented for marsupial and rodent bipeds separately to illustrate the difference in allometric slope between the two subgroups (F2,27 = 6.0428, P = 0.021; statistical significance disappears when phylogeny is accounted for, as expected for mutually exclusive groups).

Item | d.f. | F | P | F* | P* | ||
---|---|---|---|---|---|---|---|
Lengths | S | 2, 124 | 12.937 | 0.0005 | 119.0242 | <0.0001 | |
I | 2, 124 | 15.018 | 0.0002 | 116.137 | <0.0001 | ||
S + I | 2, 123 | 7.4495 | 0.0009 | 59.2942 | <0.0001 | ||
Circumferences | S | 2, 124 | 13.458 | 0.0004 | 63.0192 | <0.0001 | |
I | 2, 124 | 9.8902 | 0.0021 | 60.1004 | <0.0001 | ||
S + I | 2, 123 | 6.6909 | 0.0017 | 31.4583 | <0.0001 |
Each comparison was tested for differences in slope (S), intercept (I) and slope and intercept (S + I). Results for analyses without controlling for phylogeny are also presented (i.e. ANCOVA; *); d.f., degrees of freedom.
Discussion
To the extent that the present observations permit, Hypsiprymnodon moschatus uses exclusively asymmetric gaits (essentially bounding) throughout its locomotor repertoire. Moreover, there remains no evidence that this species ever employs a bipedal gait, even in very fast escape manoeuvres (Johnson and Strahan 1982). The present study therefore supports the widely held belief that H. moschatus is the only extant macropodoid that does not engage in bipedal locomotion. Among the small quadrupedal marsupials compared here (Fig. 1), H. moschatus uses a gait approximating a pure bound, contrasting with half-bounds or gallops in the other species (Hildebrand 1977; White 1990; Bennett and Garden 2004). The difference from the terrestrial bandicoots is particularly noteworthy, and may reflect the substantial phylogenetic distance between peramelemorphians and macropodoids (Duchêne et al. 2018; Beck et al. 2022), providing sufficient time for divergent patterns of neuromuscular locomotor coordination to evolve. Such a hypothesis deserves quantitative scrutiny in the future (e.g. Cuff et al. 2019).
In terms of other species of small-bodied macropodoid, insufficient quantitative data currently preclude detailed comparison of gait patterns, and how they vary with speed, between H. moschatus and its relatives, although attempts are being made to address this (Westerveld 2024). In the interim, the following qualitative patterns are worth noting. Quadrupedal bounding is employed at slow speeds in potoroos, but is replaced by the bipedal hop at faster speeds (Buchmann and Guiler 1974; Baudinette et al. 1993). A similar situation has also been reported for a range of macropodids, including the ground-dwelling quokka (Setonix brachyurus), some species of pademelon (genus Thylogale) and rock wallaby (genus Petrogale), and the arboreal tree-kangaroos (genus Dendrolagus) (Windsor and Dagg 1971; Baudinette 1977; Dawson et al. 2015; Westerveld 2024). In macropodids with very long hindlimbs, pentapedal locomotion involving the tail replaces the quadrupedal bound as the preferred slow-speed gait (Dawson et al. 2015). It is also noteworthy that springhares (genus Pedetes), rodents native to southern Africa, also employ a quadrupedal bound in addition to bipedal hopping, on the basis of limited observations by Hildebrand (1977). The increased propensity for asymmetric quadrupedal gaits, especially bounding, in association with bipedal hopping at faster speeds supports the notion that quadrupedal bounding was an evolutionary precursor to bipedal hopping in macropodoids (Burk et al. 1998; Bennett 2000; McGowan and Collins 2018).
If the above hypothesis is correct, it begs the question of why H. moschatus itself does not employ bipedal hopping. This may simply reflect the early phylogenetic divergence of Hypsiprymnodontidae from other macropodoids, perhaps 30 million years ago or more (Duchêne et al. 2018; Cascini et al. 2019; Beck et al. 2022; Westerman et al. 2022), prior to a single origin of hopping behaviour. Indeed, H. moschatus retains several plesiomorphic features suggestive of less specialised locomotor habits, including a mobile pedal digit I, sizeable digits II and III, and a primitive tarsal structure (Johnson and Strahan 1982; Szalay 1994). In addition to less differentiation between fore- and hindlimb lengths, H. moschatus also retains humeral and femoral proportions that are more typical of quadrupeds (Fig. 2). One further aspect worth consideration is that the whole-body centre of mass of H. moschatus may be too far forward of the hips for sustained bipedalism to be biomechanically feasible (see also Bennett and Garden 2004). The combination of a more posterior centre of mass and elongate hindlimbs has been previously linked to the evolution of (obligate) bipedalism in terrestrial archosaurs (Bishop et al. 2020), and the same requirements may also have applied to macropodoids. Irrespective of the reason(s) underlying the lack of bipedalism in H. moschatus, anecdotal observations made during the present study suggest that substantially more weight and propulsion is borne by the hindlimbs than the forelimbs in this species. Although it remains to be experimentally verified, this would nevertheless mirror the condition observed in extant macropodids during slow pentapedal locomotion (O’Connor et al. 2014).
Data availability
Raw video footage collected in this study is reposited with the Flinders University Vertebrate Collections. Timestamps of touch-down and lift-off events in each analysed trial are reported in Supplementary Data S1. Raw measurement data for marsupial and rodent humeri and femora are reported in Supplementary Data S2.
Declaration of funding
This research was supported by an Australian Government Research Training Program Scholarship (to A. C. T.) and an Australian Research Council Discovery Grant (DP190103636, to G. J. P.).
Acknowledgements
J. and J. Wright of Crater Lakes Rainforest Cottages are sincerely thanked for making available the locations on their property where video observations took place. In addition, appreciation is extended to A. Underwood for the loan of camera equipment, A. Dennis for advice in the field, D. Rovinsky and H. Richards for providing specimen data of Thylacinus, and M. Omura for access to specimens in the Mammalogy Collections of the Museum of Comparative Zoology. Additional specimen data were obtained via the Ozboneviz digital collection on MorphoSource (www.morphosource.org, project ID 000394988), which is funded by the Australian Research Council Centre of Excellence for Australian Biodiversity and Heritage (CE170100015). Last, the associate editor and two anonymous reviewers are thanked for their thorough, constructive feedback on prior versions of the paper.
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