Abstract
Introduction:
Interference competition among sympatric large carnivores is a central process structuring African predator guilds. However, the moment-by-moment movement decisions that underlie it are difficult to observe directly in elusive species ranging over remote landscapes.
Methods:
We applied a relative-motion analysis to high-frequency GPS telemetry from 17 lions (Panthera leo) and 14 spotted hyenas (Crocuta crocuta) tracked at 5-min intervals across two southern African ecosystems, the Etosha National Park in Namibia and the Chobe–Linyanti system in northern Botswana. We deliberately restricted the dyadic analysis to timesteps with real, concurrent fixes from both individuals rather than continuous-time-imputed positions. Across the 23 dyads that met this criterion, we classified each individual's movement at each timestep as toward, orthogonal to, or away from its partner. We then tested the resulting toward-versus-away proportion against a null of no directional bias using three complementary inferential layers that explicitly handle the within-dyad autocorrelation and between-dyad individual reuse: per-dyad exact binomial confidence intervals, an across-dyad Wilcoxon signed-rank test, and a generalized linear mixed-effects model on the per-timestep data with a random intercept for dyad.
Results:
The retreat-by-hyena signal is supported across all three layers. None of the three inferential layers supported a uniform population-level lion approach to hyenas, but a directionally consistent pattern indicated an approach bias for male lions and no consistent directional bias for female lions. Intraspecific lion dyads in Etosha resolve mating-pair and satellite-pride coordination at scales as fine as 15 m; hyena dyads in either ecosystem produced no concurrent fixes below 1 km, recovering the exclusive clan-territorial structure of the species.
Discussion:
The relative-motion framework demonstrates that fine-scale telemetry can substitute for behavioral observation in landscapes where direct observation is logistically infeasible. It also reveals that the asymmetric interference-competition signature predicted by guild theory operates through the subordinate species' reactive avoidance at multi-kilometer scales rather than through symmetric two-species coordination.
Introduction
Apex carnivore guilds in African savannas are structured by complex interactions among species that share both prey and space. Interference competition between sympatric carnivores has long been recognized as a central mechanism by which guild members partition shared resources and coexist on the same landscape (; ; Vance, 1984). Classical theory, derived from the compression hypothesis and self-organizing spatial-coexistence models (Schoener, 1974; ), predicts that subordinate guild members partition their use of contested space and time in response to the proximity, activity, and signaling of dominant competitors and that this partitioning can occur at multiple spatiotemporal scales. African lions (Panthera leo) and spotted hyenas (Crocuta crocuta), the two largest predators across most of their range, occupy similar trophic positions and exhibit substantial overlap in diet, habitat use, and activity periods (; ; ). Where the two species are sympatric, asymmetric interference competition dominates their interactions, with lions typically displacing hyenas at carcasses, killing hyenas opportunistically, and limiting hyena reproductive output through cub mortality (Trinkel and Kastberger, 2005; ). In the African large-carnivore guild, lion–hyena interference has been documented through kleptoparasitism (), through reproductive-fitness consequences for hyenas (Watts and Holekamp, 2008), and through eavesdropping and risk assessment among guild members (Webster et al., 2010; ), with the operating mechanism interpreted variously as a “landscape of fear” exerted by lions () and as coexistence under reduced fear in the same study systems (Swanson et al., 2016). Spatiotemporal partitioning at the activity-period and landscape scales has been documented across African carnivore guilds (; ), and scavenging–predation linkages are increasingly recognized as a structuring force in these communities (). The subordinate species, the spotted hyena, must therefore navigate a landscape that includes both the resources it shares with lions and the risks that lions pose. This navigation is expected to leave a measurable signature in fine-scale movement behavior.
A substantial body of work has documented how competitively subordinate large carnivores respond to dominant ones. Using direct observation, telemetry, audio-playback and olfactory-manipulation experiments, and high-frequency accelerometry, these studies have repeatedly demonstrated strong responses across a wide range of spatial and temporal scales, and have shown that subordinate carnivores respond differently to cues of immediate, short-term risk than to cues of longer-term variation in risk, a distinction often framed as the difference between avoiding risky places and avoiding risky times (; ; Webster et al., 2012; ; ; , ). Against this background, what has remained comparatively difficult to characterize is the immediate, moment-by-moment movement geometry of a subordinate-dominant encounter: which individual moves toward which, and at what distance, when the two are simultaneously in proximity. Home-range overlap statistics, occupancy modeling, and coarse-resolution telemetry are powerful for describing space use and temporal partitioning (Swanson et al., 2014; Vanak et al., 2013; ), but they integrate movement decisions over hours or days and so average over the individual approach-and-retreat decisions that make up an encounter. High-frequency, concurrent relocation data from both members of a pair can resolve that geometry directly. Recent advances in dyadic movement analysis have made it possible to extract directional information from such data, classifying each timepoint by whether an individual is moving toward, away from, or laterally relative to a known conspecific or heterospecific (; ).
We use dyadic movement analysis to test three predictions about fine-scale dyadic movement in sympatric lions and spotted hyenas. First, if hyenas are avoiding lions through reactive movement, then at close distances we expect hyenas to retreat from approaching lions significantly more often than by chance. Second, if lions do not perceive hyenas as a threat, then lions should not show a corresponding retreat from hyenas; instead, lion movement relative to hyenas may be neutral, or even biased toward approach if lions investigate hyena activity as a potential cue for scavenging opportunity. Third, intraspecific dyads should display coordination patterns that reflect each species’ social organization: lion dyads from within the same pride or mating pair should show coordinated joint movement, whereas hyena dyads from within the same clan should show patterns consistent with the more variable cohesion characteristic of spotted hyena clan structure (Smith et al., 2008).
To test these predictions, we apply the relative-motion method of to GPS telemetry data from 17 lions and 14 spotted hyenas tracked across two southern African ecosystems, the Etosha National Park in north-central Namibia and the Chobe National Park with adjacent Linyanti Conservancy in northeastern Botswana. We restrict the dyadic analysis to timestamps where both individuals in a pair have real concurrent GPS fixes at five-minute sampling intervals, a conservative choice that excludes model-imputed positions and bases all interaction findings on actual animal locations. We complement the binomial confidence intervals with a circular-statistics check on directional concentration, addressing potential concerns about the inferential strength of binary toward-versus-away classifications. By documenting which collared individuals were mating pairs, satellite group members, or members of different prides and clans, we are able to distinguish coordinated movement that reflects shared group membership from coordinated movement that reflects something else.
The patterns we describe here speak to the broader question of how subordinate large carnivores persist in landscapes shared with dominant ones, and how movement behavior itself functions as a mechanism of coexistence between species that share too many resources to be ecologically independent. What the relative-motion approach adds to this already substantial multi-scale literature is a direct, per-dyad characterization of the immediate-encounter geometry: the bidirectional, moment-by-moment approach-and-retreat structure of a lion–hyena pairing resolved at the five-minute scale. This is a complement to, not a replacement for, analyses of space use, habitat selection, and temporal partitioning at coarser scales. Whether these fine-scale, immediate-risk responses scale up to the broader patterns of space use and demography that ultimately shape fitness is an open question, and one that fine-scale dyadic data are well positioned to help address.
Methods
Study sites
This research was conducted in two protected-area systems in southern Africa (Figure 1). The first is Etosha National Park (ENP), a 22,270-km2 fenced semi-arid savanna reserve in north-central Namibia (), where perennial water is available only at natural artesian springs and pumped boreholes (). The present study did not encompass the entire park; the ENP study site, 9,000 km2 in extent, occupied the central regions of Okaukuejo and Halali, with one collared individual additionally dispersing approximately 120 km outside the southern park boundary (collar successfully retrieved). The area is interspersed with dolomite inselberge and sandy bushveld, comprising mainly grasslands, short-grass plains, shrublands, and dwarf-shrub and mixed tree savannas including mopane (Colophospermum mopane) (). Seasonal rainfall occurs mainly between November and April, with the highest monthly rainfall in January and February ().
Figure 1
The second system is the Chobe–Linyanti complex in northeastern Botswana, comprising the unfenced 11,700-km2 Chobe National Park (CNP) and the adjacent 1,660-km2 community-managed Linyanti Conservancy (LC), both of which form part of the core component of the Kavango-Zambezi (KAZA) Transfrontier Conservation Area. The 7,500-km2 Botswana study site occupies the floodplains of the northern Kalahari, bounded by the Chobe and Linyanti rivers, with papyrus swamps, lagoons, and marshes. The Chobe and Linyanti rivers, fed by the Kwando and Zambezi rivers, and the Cubango River that feeds into the Okavango Delta are the main sources of permanent water for this ecosystem (). Vegetation includes riparian and mopane woodlands, Baikiaea plurijuga forest, open grasslands, mixed Vachellia savanna, and sandveld communities of Terminalia sericea and Philenoptera nelsii (; Sianga and Fynn, 2017). Seasonal rainfall in the Botswana system occurs mainly between November and March, with a mainly dry season from April to October. Data collection in both ecosystems spanned 2013 to 2018. Further details of the study sites, including vegetation classification and prey assemblages, are provided in Supplementary Materials 1.
Animal capture, collaring, and social context
Seventeen adult lions (13 females and four males) and 14 adult spotted hyenas (10 females and four males) were captured and fitted with GPS-accelerometer collars (IridiumTrackM, Lotek Wireless Inc., Newmarket, Ontario, Canada) following the procedures, governmental authorizations, and animal welfare committees detailed in Supplementary Materials 1. In each ecosystem, extensive pre-collaring observations were made to identify distinct lion prides and spotted hyena clans (approximately 8 months in Etosha and 5 months in Chobe–Linyanti). Individuals were then selected for collaring such that each known pride or clan was represented by a single collared animal. The exception to this design was the Linyanti pride, where low lion density meant that two collared lions (AM-36714 and AF-34308) belonged to the same pride. Pride and clan membership were determined from these direct observations prior to and during collaring. Coordinated-movement associations and pair status were determined post-collaring from the GPS records and continued night-follow observations. In Etosha, three intraspecific lion associations were identified after collaring: two confirmed mating pairs (OK-33863 with OJ-33867 in the Okaukuejo region, and RE-33864 with SU-33868 in the Halali region), and one satellite-pride association in which the lioness NU-33865 operated as a peripheral satellite of the pride that included the lioness MO-33866 (Halali region). All other collared Etosha lions and all collared Etosha spotted hyenas were from distinct prides or clans. In the Chobe-Linyanti system, all collared spotted hyenas were from different clans (the Chobe Eastern, Chobe Western, Chobe Central, Linyanti Eastern, and Linyanti Western clans); collared lions came from the Chobe Eastern, Chobe Western, Chobe Central, and Linyanti Eastern prides, with two lions (AM-36714 and AF-34308) representing the Linyanti Western pride. The complete per-individual social context, including pride or clan membership and pair or group association, is provided in Table 1 with additional information in Supplementary Table 1. This explicit documentation of social context allows readers to distinguish coordinated movement attributable to shared group membership from coordinated movement that arises among individuals from different groups.
Table 1
| Species | Individual | Sex | Region | Tracking days | Pride/clan membership | Pair/group association |
|---|---|---|---|---|---|---|
| LION | OK-33863 | F | ENP | 121 | O. Northern pride | Mating pair with OJ-33867 |
| RE-33864 | F | ENP | 166 | H. Central pride | Mating pair with SU-33868 | |
| NU-33865 | F | ENP | 368 | H. Eastern pride | Satellite group with MO-33866 | |
| MO-33866 | F | ENP | 342 | H. Eastern pride | Satellite group with NU-33865 | |
| OJ-33867 | M | ENP | 89 | O. Central pride | Mating pair with OK-33863 | |
| SU-33868 | M | ENP | 234 | H. Western pride | Mating pair with RE-33864 | |
| G1-33950 | F | ENP | 36 | O. Eastern pride | Pride with G2-35678; collar replaced | |
| OM-34308 | F | ENP | 141 | O. Southern pride | Independent pride | |
| LU-34308 | F | ENP | 212 | O. Western pride | Independent pride | |
| OF-34309 | M | ENP | 116 | O. Southeast pride | Independent pride | |
| G2-35678 | F | ENP | 178 | O. Eastern pride | Pride with G1-33950; replacement collar | |
| SW-33950 | F | CNP | 228 | C. Western pride | Independent pride | |
| AF-34308 | F | LC | 109 | L. Western pride | Pride with AM-36714 | |
| BE-35678 * | F | LC | 71 | L. Eastern pride | Independent pride | |
| AM-36714 * | M | LC | 638 | L. Western pride | Pride with AF-34308 | |
| KW-36716 | F | CNP | 367 | C. Eastern pride | Independent pride | |
| KB-36717 * | F | CNP | 355 | C. Central pride | Independent pride | |
| SPOTTED HYENA | GO-33869 | F | ENP | 498 | H. Eastern clan | Independent clan |
| TJ-33870 | F | ENP | 150 | H. Central clan | Independent clan | |
| NE-33871 | F | ENP | 346 | O. Central clan | Independent clan | |
| SA-33872 | F | ENP | 332 | H. Northern clan | Independent clan | |
| AU-33873 | F | ENP | 464 | O. Eastern clan | Independent clan | |
| OM-33874 * | F | ENP | 484 | O. Southern clan | Independent clan | |
| SU-33951 * | F | ENP | 79 | H. Western clan | Independent clan | |
| OK-34310 | M | ENP | 3 | O. Northern clan | Clan with WO-34310; collar replaced | |
| WO-34310 | M | ENP | 130 | O. Northern clan | Clan with OK-34310; replacement collar | |
| AR-33869 * | M | LC | 60 | L. Western clan | Independent clan | |
| IH-33870 * | F | CNP | 461 | C. Central clan | Independent clan | |
| KW-33871 * | F | CNP | 159 | C. Eastern clan | Independent clan | |
| RV-33873 * | M | LC | 197 | L. Eastern clan | Independent clan | |
| SR-34310 | F | CNP | 214 | C. Western clan | Independent clan |
Summary of data collection records and social context for the 17 lions (Panthera leo) and 14 spotted hyenas (Crocuta crocuta) tracked in this study.
Study regions: ENP, Etosha National Park, Namibia; CNP, Chobe National Park, Botswana; LC, Linyanti Conservancy, Botswana. Pride/clan membership: O., Okaukeujo, H., Halali, C., Chobe, L., Linyanti. Pride/clan memberships were determined from continuous monitoring of individuals within each study area prior to collaring. Pair/group association indicates relationships determined from direct night-follow observations and continuous monitoring of collared individuals during the tracking period. All non-pair individuals within a given study area belonged to separate prides (for lions) or clans (for hyenas) unless otherwise indicated. Unretrieved collars are denoted with an asterisk. Additional tracking information is provided in Supplementary Table 1.
GPS data collection
Collars were programmed to record GPS fixes every 30 minutes during nocturnal periods (1800 h to 0600 h, or 1700 h to 0800 h in some deployments) and every five minutes for the two-hour periods following sunset and preceding sunrise (1900 h to 2100 h and 0400 h to 0600 h). All collars additionally recorded diurnal fixes at 1000 h and 1400 h to aid in locating individuals prior to night follows. This sampling regime was chosen to maximize temporal resolution during the dusk and dawn activity peaks of both species while limiting battery consumption. Losses across the tracking period were attributable to collar failure, mortality, and depleted-battery collars that could not be physically recovered owing to field logistical constraints, including periods without veterinary support and limited access for collar recovery, rather than animal dispersal. Per-individual tracking summaries are provided in Supplementary Table 1.
Behavioral observations and night follows
Satellite-uploaded locations of all collared lions and spotted hyenas were monitored on a daily basis to ensure that individuals were alive and active. Throughout the tracking period, night-follow observations were made on collared individuals in both study areas, both for ground-truthing of the accelerometer activity data used in companion analyses on inter- and intraspecific movement and activity patterns, recursion and duration within home ranges, and the influence of landscape features, and biological and environmental drivers on those patterns (), and to record any predation events or competitive interactions that occurred during direct observation. Each night, focal individuals were selected from among those whose satellite-uploaded locations earlier that day were accessible by the road network and were showing active movement. Focal animals were located in the field by radio telemetry, using a handheld 3-element directional Yagi antenna (Lotek) and a custom-built vehicular-mounted 5-element antenna paired with an SRX 600 telemetry receiver. Individuals were then approached by vehicle to a distance permitting visual observation under ambient light, supplemented when necessary by red-filtered spotlights to minimize disturbance. During each session, the activity state of the focal animal (e.g., resting, moving, feeding, vigilant, social behaviors), the identity and number of conspecific group members present, the presence of any heterospecific individuals nearby, and discrete behavioral events of interest including mating-pair associations, carcass possession or sharing, and direct interspecific encounters were recorded. These night-follow observations were used to establish the social grouping of each collared individual during tracking, including identification of the mating pairs and satellite-pride associations among Etosha lions described above, and provide the context for behavioral observations reported in the Results.
Dyad construction and the real-position-only criterion
Pairs of individuals were considered as candidate dyads if their tracking periods overlapped and both collars were operational. For each candidate dyad we identified all timestamps at which both individuals had a real, non-imputed GPS fix at the five-minute sampling rate, and at which a real fix also existed for both individuals at the next five-minute timestep. Only pairs with such synchronized location data entered the relative-motion analysis. We deliberately did not use continuous-time movement model (CTMM) imputed positions for dyad construction, even though such imputation was applied for other analyses of the same data (). This conservative choice substantially reduced the effective sample size relative to the full relocation record, but it ensured that every inferred approach or retreat event corresponded to actual animal positions observed by the collars rather than to model-imputed locations whose error structure could plausibly induce spurious directional patterns. For each dyad we computed inter-individual distance at every concurrent timestep, and classified each individual’s movement relative to its partner across nine cumulative distance thresholds spanning 0 m to 10 km (i.e., upper bounds of 50, 100, 200, 500, 1,000, 2,000, 3,000, 5,000, and 10,000 m).
Relative motion analysis
All analyses were conducted in R 4.1.2 (). For each retained timestep within a dyad, we computed four angular quantities using the geosphere R package (). For each individual, the absolute heading at time t was defined as the angle (clockwise from geographic north) between the vector pointing north and the vector joining the individual’s GPS position at time t and at time t + 1 (Figure 2a). The relative heading for each individual at time t was defined as the angle from that individual’s position at time t to the partner’s position at time t, again measured clockwise from north. We then computed, separately for each individual, the difference between the absolute and relative headings at time t and took its absolute value. This heading-difference angle quantifies the extent to which the individual’s movement at time t was directed toward or away from the location of its partner (Figure 2a).
Figure 2
Following
For each dyad we computed the proportion of toward versus away movements, restricted to non-orthogonal timesteps, at each of nine cumulative distance thresholds (50, 100, 200, 500, 1,000, 2,000, 3,000, 5,000, and 10,000 m). At each threshold we calculated the 95% exact binomial confidence interval on this proportion using the binom R package (
To address potential concerns about treating directional data as if it were Bernoulli-distributed, we performed a robustness check using Watson’s one-sample test against a uniform circular null (
Statistical analysis
Two sources of statistical non-independence in these data motivated the layered inferential strategy adopted here. The first is temporal autocorrelation within dyad: consecutive five-minute GPS fixes of the same individual are not independent observations of its behavior, because an animal’s position five minutes beyond a location in time depends on its location at that time. The second is between-dyad non-independence introduced by individual reuse: a single collared lion or spotted hyena participates in multiple dyads (a single hyena may be paired with several different lions and with conspecifics in turn), so summary statistics aggregated across dyads cannot be treated as independent observations either. Standard chi-square and t-tests applied to pooled per-timestep data address neither of these non-independence structures. We therefore report three complementary inferential analyses for the lion–hyena interspecific dyads.
First, we report per-dyad two-sided 95% exact (Clopper–Pearson) binomial confidence intervals (
Second, we report an across-dyad one-sample Wilcoxon signed-rank test on the per-dyad ratios, computed separately at each cumulative threshold for the hyena and lion focal animals. Treating each dyad’s ratio as one observation against a null of 0.5 sidesteps the within-dyad autocorrelation entirely, because the within-dyad structure has been collapsed to a single summary. A one-sample t-test against 0.5 was computed alongside the Wilcoxon for comparability.
Third, we report a generalized linear mixed-effects model fit using the glmer function from the lme4 package (
An equivalent model was also fit with (1 | individual) and with (1 | individual) + (1 | dyad) as a sensitivity check; the individual random effect collapsed to zero (boundary singular fit) in both, reflecting that with only three unique collared spotted hyenas and a comparable number of unique lions across the interspecific data, the model could not partition variance between within-individual and between-individual sources. A larger collared sample would be required to resolve the individual random effect, and our preferred specification uses dyad alone as the random effect for the interspecific lion–hyena results. A per-unique-individual sensitivity check, in which all timesteps for each focal individual were pooled across the dyads in which that individual participated and a single per-individual ratio was computed, was used as a further check against the across-dyad result being driven by repeated entries of any one individual.
Where the lion focal results were further stratified by sex, we fit towards ~ sex + (1 | dyad) and compared it against the no-sex model towards ~ 1 + (1 | dyad) by likelihood ratio test, with sex coded as a binary fixed effect (female as reference). Female-only and male-only versions of the model were also fit separately to obtain the population-level towards probability for each sex.
Data and code availability
The relative motion analysis was implemented in R using the method of
Results
Data collection
Across all deployments, 57% of possible relocations were retrieved, with losses attributable to mortality and to collars whose physical recovery was prevented by field logistical constraints (n = 3 lions and 6 hyenas in total). The retrieved dataset comprised 349,163 GPS relocations from the two study areas, of which 55% were from lions and 45% from spotted hyenas (Supplementary Table 1). Collared lions were sometimes observed together in both Etosha (51% of fixes within ≤50 m to another collared lion) and Chobe-Linyanti (6% of fixes within ≤50 m), while only female collared hyenas occurred together in Chobe-Linyanti (1% and 2% of fixes within ≤50 m for the two female-female pairings, respectively). Of the collared lions observed together within ≤50 m in Etosha, 65% were female-female pairs and 35% were male-female pairs; in Chobe-Linyanti, by contrast, nearly all close-distance lion pairs were male-female, with only 1% female-female. These fix-level co-occurrence values describe the wider sampling regime within which the per-dyad relative-motion analysis below operates.
Dyad sample composition
Where each pair of collared individuals from the same study area had tracking periods that overlapped, that pair was considered a candidate dyad. Across 11 collared lions and 9 collared spotted hyenas in Etosha and 6 collared lions and 5 collared spotted hyenas in Chobe-Linyanti, the upper-bound number of possible within-site dyads was 190 in Etosha and 55 in Chobe-Linyanti; the number realized in practice was smaller because tracking-period overlap and the requirement for both collars to produce a real five-minute fix at the same instant excluded many candidate pairs. Under the real-positions-only criterion, this produced 8 interspecific lion–hyena dyads in Etosha and 2 in Chobe-Linyanti, 8 intraspecific lion–lion dyads in Etosha and 1 in Chobe-Linyanti, and 4 intraspecific hyena–hyena dyads in Etosha and 0 in Chobe-Linyanti, for a total of 23 dyads with usable concurrent fixes (per-dyad concurrent-fix counts in Supplementary Table 2). The number of intraspecific lion-lion dyads in Etosha (8) reflects unanticipated post-collaring associations rather than within-pride sampling: collared individuals were chosen one per identified pride or clan in both ecosystems following extended pre-collaring observation, and the associations that produced close-distance lion-lion dyads in Etosha were identified after collaring as one satellite-pride association (NU-33865 satellite of MO-33866’s pride) and two confirmed mating pairs (OK-33863 with OJ-33867; RE-33864 with SU-33868). In Chobe-Linyanti the only same-pride pairing in the collared sample was AM-36714 and AF-34308, both from the Linyanti Western pride; however, AM-36714’s collar was not retrieved at the end of tracking, so for that individual only the satellite-uploaded subset of relocations was available rather than the full five-minute stored record, limiting the same-pride intraspecific dyad detection in Chobe-Linyanti.
The fix-level co-occurrence patterns reported in the Data collection summary above (51% of Etosha lion fixes within ≤50 m of another collared lion, against 6% in Chobe-Linyanti) provide the population-level context within which this real-positions-only dyad sample sits.
Interspecific dyads: an asymmetric retreat-by-hyena pattern at multiple inferential layers
Per-dyad confidence intervals
Per-dyad exact binomial confidence intervals on the towards-versus-away proportion at the cumulative 10 km threshold reveal an asymmetric pattern between hyenas and lions that is detectable in a minority of dyads when each dyad is inspected individually. Of the 10 interspecific lion–hyena dyads, four hyena focal animals had binomial CIs that significantly excluded 0.5 below at the cumulative 10 km threshold, indicating a retreat bias; no hyena focal animal had a CI that significantly exceeded 0.5; the remaining six contained 0.5 (Table 2). Lion focal animals in the same dyads showed the inverse asymmetry: three had CIs that significantly exceeded 0.5, indicating an approach bias, no lion had a CI that significantly excluded 0.5 below, and the remaining seven contained 0.5 (Table 2). At closer cumulative thresholds the per-dyad signal weakens because fewer concurrent fixes are available within tighter distance bins: at the cumulative 5 km threshold two of 10 hyena focal animals had CIs excluding 0.5 below, and at the cumulative 1 km threshold a single hyena focal animal did so. No lion focal animal had a CI excluding 0.5 in either direction at thresholds at or below 5 km.
Table 2
| Region | Species | Paired individuals | N | Towards | Ratio | 95% CI | Sig. |
|---|---|---|---|---|---|---|---|
| ENP | Lion | SU-33868 | 1632 | 840 | 0.515 | 0.490 – 0.539 | ns |
| Hyena | & TJ-33870 | 1580 | 767 | 0.485 | 0.461 – 0.510 | ||
| ENP | Lion | SU-33868 | 1853 | 959 | 0.518 | 0.495 – 0.541 | ns |
| Hyena | & SA-33872 | 1834 | 925 | 0.504 | 0.481 – 0.528 | ||
| ENP | Lion | RE-33865 | 1494 | 742 | 0.497 | 0.471 – 0.522 | ns |
| Hyena | & TJ-33870 | 1470 | 717 | 0.488 | 0.462 – 0.514 | ||
| ENP | Lion | RE-33864 | 786 | 425 | 0.541 | 0.505 – 0.576 | approach |
| Hyena | & SA-33872 | 790 | 354 | 0.448 | 0.413 – 0.484 | retreat | |
| ENP | Lion | OF-34309 | 147 | 101 | 0.687 | 0.606 – 0.761 | approach |
| Hyena | & SA-33872 | 157 | 47 | 0.299 | 0.229 – 0.378 | retreat | |
| ENP | Lion | OK-33863 | 63 | 28 | 0.444 | 0.319 – 0.575 | ns |
| Hyena | & SA-33872 | 58 | 28 | 0.483 | 0.350 – 0.618 | ||
| ENP | Lion | OM-34308 | 203 | 94 | 0.463 | 0.393 – 0.534 | ns |
| Hyena | & SA-33872 | 195 | 106 | 0.544 | 0.471 – 0.615 | ||
| ENP | Lion | NU-33865 | 86 | 37 | 0.430 | 0.324 – 0.542 | ns |
| Hyena | & SA-33872 | 90 | 29 | 0.322 | 0.228 – 0.429 | retreat | |
| CNP-LC | Lion | KW-36716 | 1832 | 905 | 0.496 | 0.473 – 0.519 | ns |
| Hyena | & SR-34310 | 1788 | 832 | 0.465 | 0.442 – 0.489 | retreat | |
| CNP-LC | Lion | SW-33950 | 2899 | 1547 | 0.534 | 0.515 – 0.552 | approach |
| Hyena | & SR-34310 | 2976 | 1471 | 0.494 | 0.476 – 0.512 | ns |
Summary of directional bias of individuals in a dyadic relationship (paired rows at a time) at the cumulative 10 km distance threshold for the 10 interspecific lion (Panthera leo) and spotted hyena (Crocuta crocuta) dyads.
For each dyad, both focal individuals are listed with N (the number of non-orthogonal timesteps, i.e., towards + away), the number of towards movements, the towards ratio (towards/N), the 95% exact (Clopper-Pearson) binomial confidence interval, and the resulting significance class (significant approach if the CI lies entirely above 0.5; significant retreat if entirely below; or not significant, ns, if the CI contains 0.5). Per-dyad CIs at each of the nine cumulative distance thresholds (50, 100, 200, 500, 1,000, 2,000, 3,000, 5,000, 10,000 m) and at each per-bin partition are provided in the corresponding sections of the supplementary tables (Supplementary Table 2). Bold text denotes a statistically significant directional bias (95% CI excluding 0.5): approach above 0.5, retreat below 0.5. Non-significant cases (ns) are not bold.
The OF-34309/SA-33872 dyad in Etosha (Figure 3a) is the cleanest single example of the asymmetric pattern: at distances up to 10 km the lion had a towards-versus-away ratio of 0.687 (95% CI 0.605 to 0.761), significantly above 0.5, while the hyena had a ratio of 0.299 (95% CI 0.229 to 0.378), significantly below 0.5. By contrast the SU-33868/SA-33872 dyad in Etosha (Figure 3b), which had three times as many concurrent fixes (8,567 versus 1 606), showed neither individual departing significantly from 0.5 at any distance threshold. The full set of per-dyad results is provided in Supplementary Materials 2 and Supplementary Table 2.1. The patterns from the Chobe-Linyanti dyads are consistent with those in Etosha: in the KW-36716/SR-34310 dyad the hyena had a ratio of 0.465 (95% CI 0.442 to 0.489), significantly below 0.5, while in the SW-33950/SR-34310 dyad the lion had a ratio of 0.534 (95% CI 0.515 to 0.552), significantly above 0.5.
Figure 3

Per-dyad relative-motion results for two example lion (Panthera leo) and spotted hyena (Crocuta crocuta) dyads from Etosha National Park. (a) The dyad comprising lion OF-34309 and spotted hyena SA-33872. (b) The dyad comprising lion SU-33868 and spotted hyena SA-33872. Each dyad is presented as a seven-panel grid. The upper three panels represent the movements of the lion towards the hyena, and the lower three panels represent the movements of the hyena towards the lion. Within each row of three panels, the far-left panel shows the binned distribution of the heading-difference angle for that individual, classified as moving towards, away, or orthogonally to its partner; the middle-left panel shows the per-distance-bin ratio of ‘towards/(towards + away)’ movements for that individual, with the horizontal reference line at 0.5; and the middle-right panel shows the histogram of those ratios across distance bins. The far-right panel of the dyad shows the simultaneous-movement classification of the joint dyad state by 500 m distance bin, in which both individuals’ classifications are combined at each timestep using the five-category scheme defined in Figure 2b. Additional per-dyad figures of the same six-panel layout are provided in Supplementary Materials 2 (interspecific dyads) and Supplementary Materials 3 (intraspecific dyads).
Across-dyad Wilcoxon signed-rank tests
Treating each dyad’s focal-individual ratio as one observation and testing against a null of 0.5 across the 10 interspecific dyads produces an across-dyad inferential result that does not depend on within-dyad autocorrelation. For the hyena focal animal the across-dyad ratio was significantly below 0.5 at the cumulative 2 km, 5 km, and 10 km thresholds, with the strongest signal at the cumulative 5 km threshold where all nine dyads with usable data had hyena ratios below 0.5. At ≤2 km, seven of eight dyads with data had hyena ratios below 0.5; at ≤5 km, all nine dyads with data had hyena ratios below 0.5; and at ≤10 km, eight of 10 dyads were below 0.5 (all p values < 0.05; Table 3). For the lion focal animal, no cumulative distance threshold produced a significant departure from 0.5 (all p values > 0.05; Table 3), confirming the heterogeneity observable in the per-dyad CIs.
Table 3
| Threshold | Focal | n Dyads with data | n with ratio < 0.5 | Mean Ratio | Wilcoxon V | Two-sided p | One-sided ‘Less’ p |
|---|---|---|---|---|---|---|---|
| ≤500 m | Lion | 6 | 1 | 0.489 | 15 | 0.44 | 0.85 |
| ≤500 m | Hyena | 6 | 5 | 0.275 | 1 | 0.059 | 0.029 |
| ≤1 km | Lion | 6 | 2 | 0.523 | 9 | 0.79 | 0.71 |
| ≤1 km | Hyena | 6 | 3 | 0.393 | 3 | 0.28 | 0.14 |
| ≤2 km | Lion | 8 | 2 | 0.536 | 20 | 0.35 | 0.86 |
| ≤2 km | Hyena | 8 | 7 | 0.389 | 1 | 0.016 | 0.008 |
| ≤5 km | Lion | 9 | 5 | 0.519 | 27 | 0.65 | 0.72 |
| ≤5 km | Hyena | 9 | 9 | 0.411 | 0 | 0.004 | 0.002 |
| ≤10 km | Lion | 10 | 5 | 0.512 | 29 | 0.92 | 0.58 |
| ≤10 km | Hyena | 10 | 8 | 0.453 | 8 | 0.049 | 0.024 |
Across-dyad Wilcoxon signed-rank test results at five cumulative distance thresholds (≤500 m, ≤1 km, ≤2 km, ≤5 km, ≤10 km) for the 10 interspecific lion (Panthera leo) and spotted hyena (Crocuta crocuta) dyads.
For each threshold and focal species (hyena, lion) the table reports the number of dyads with usable data, the number of those dyads with a towards-vs-away ratio below 0.5, the mean ratio across dyads, the Wilcoxon test statistic V (sum of positive ranks, as reported by R’s wilcox.test), and the exact two-sided and one-sided (‘less’) p values against a null of 0.5. Significant p values (p < 0.05) are bolded.
Mixed-effects logistic regression with random intercept by dyad
Pooled across all per-timestep observations at distances under 10 km, the mixed-effects logistic regression on the binary towards/away outcome with random intercept by dyad estimated a population-level towards probability of 0.461 (95% Wald CI 0.421 to 0.501) for the hyena focal animal in lion–hyena dyads, with the logit intercept −0.158 (SE 0.082, z = −1.92, two-sided p = 0.054; Table 4). The intercept estimate falls just inside conventional significance under the one-sided alternative (retreat bias) and the upper confidence limit just touches 0.5. For the lion focal animal the corresponding estimate was 0.517 (95% Wald CI 0.491 to 0.542), logit intercept 0.067 (SE 0.052, z = 1.29, p = 0.20; Table 4), no significant departure from 0.5. The dyad random-effect standard deviation was 0.228 for hyenas and 0.133 for lions, reflecting modest between-dyad heterogeneity in directional bias.
Table 4
| Model | n Timesteps | n Individuals | n Dyads | Estimated P(towards) | 95% Wald CI | Compared model | LRT χ2 | p | |
|---|---|---|---|---|---|---|---|---|---|
| Hyena focal, all interspecific | 10 938 | 3 | 10 | 0.461 | 0.421 – 0.501 | – | – | 0.054 | |
| Lion focal, all interspecific | 10 995 | 8 | 10 | 0.517 | 0.491 – 0.542 | – | – | 0.20 | |
| Lion focal, sex covariate | 10 995 | 8 | 10 | F 0.501; M 0.548 | – | vs no-sex | 2.77 | 0.096 | |
Mixed-effects logistic regression population-level estimates of the probability of moving towards versus away from the partner, for the 10 interspecific lion (Panthera leo) and spotted hyena (Crocuta crocuta) dyads at distances under 10 km.
The first two rows report the unstratified models (towards ~ 1 + (1 | dyad)) for the hyena-focal and lion-focal data; the third row reports the lion-focal sex-stratified model (towards ~ sex + (1 | dyad)), with the likelihood ratio test comparing it against the no-sex model.
Per-unique-individual sensitivity check
Because spotted hyena SA-33872 participated in six of the 10 interspecific dyads, the across-dyad Wilcoxon could in principle be biased by the repeated entry of one individual. As a sensitivity check, all timesteps for each unique focal individual were pooled across that individual’s interspecific dyads to produce a single per-individual ratio. With only three unique collared hyenas in the interspecific data (TJ-33870, SA-33872, SR-34310) and eight unique collared lions, the per-individual sample is too small for non-parametric tests to reach conventional significance on their own, but every unique hyena’s pooled ratio at the cumulative 10 km threshold falls below 0.5 (TJ 0.487, SA 0.477, SR 0.483; one-sample t = −6.04, df = 2, p = 0.026), and every unique hyena’s ratio at the cumulative 5 km threshold also falls below 0.5 (TJ 0.483, SA 0.438, SR 0.473), although the per-individual t-test at 5 km is not significant given the smaller per-individual sample sizes (t = −2.60, df = 2, p = 0.12). The across-dyad pattern is therefore not driven by SA-33872 alone.
Lion-focal sex stratification
A field-observation prediction prior to the analysis was that male lions would track and approach hyenas more consistently than female lions, with female lions showing more variable responses contingent on group composition. Four male lions were collared in total in this study (SU-33868, OF-34309, OJ-33867, AM-36714), of which three had collars retrieved with the full five-minute stored record (SU, OF, OJ) and one (AM) had only the satellite-uploaded subset of relocations available because his collar was not retrieved. Among the 10 interspecific lion–hyena dyads with concurrent five-minute fixes, the male-lion sample consequently reduces to two unique individuals contributing three dyads: SU-33868 in two dyads (SU/TJ, SU/SA) and OF-34309 in one dyad (OF/SA), all in Etosha. OJ-33867 is paired in the intraspecific OJ/OK mating-pair dyad and does not appear in any interspecific dyad in the present dataset. AM-36714 produced no concurrent five-minute interspecific dyad with any collared hyena because of his satellite-only subset. Six unique female lions contributed the remaining seven interspecific dyads. Across these three male-lion dyads the mean towards-vs-away ratio at the cumulative 10 km threshold was 0.573, with all three above 0.5 (range 0.515 to 0.687). Across the seven female-lion dyads the mean was 0.486, with five of seven below 0.5 (range 0.430 to 0.541). A mixed-effects model with sex as a fixed effect (towards ~ sex + (1 | dyad)) on the per-timestep lion-focal data at distances under 10 km estimated a female population-level towards probability of 0.501 and a male probability of 0.548, with the sex effect in the expected direction but marginal in significance (χ2 = 2.77, df = 1, p > 0.05; Table 4). The pattern is directionally consistent with the field-observation prediction (males tracking, females variable), and the male-lion sample of two unique individuals across three dyads is the principal constraint on statistical resolution; the OF-34309/SA-33872 dyad in particular provides the strongest single example of male-lion approach. The field-observation records of male lions actively following hyenas during night follows corroborate the directional pattern recovered from the GPS data.
Intraspecific lion dyads: close-distance coordination in mating and satellite pairs
Concurrent five-minute fixes at distances below 200 m were available in four of the nine intraspecific lion–lion dyads: the two confirmed mating pairs OK-33863 with OJ-33867 (236 paired fixes below 200 m) and RE-33864 with SU-33868 (1,384 paired fixes below 200 m); the satellite-pride pair NU-33865 with MO-33866 (2,378 paired fixes below 200 m, the satellite female NU being a peripheral member of the larger pride that included MO); and a small number of close-distance fixes between SU-33868 and MO-33866 (26 paired fixes below 200 m; Supplementary Materials 3, Supplementary Table 2.2). The remaining lion–lion dyads, including the single Chobe-Linyanti dyad (KW-36716 with SW-33950, pairing the Chobe Eastern and Chobe Western prides), produced no concurrent five-minute fixes at distances below 200 m and consequently no per-dyad CIs are reported at those distances.
For the satellite-pride pair (NU-33865 and MO-33866), both individuals had binomial CIs significantly above 0.5 at the 0–50 m bin (MO ratio 0.601, 95% CI 0.580 to 0.622; NU ratio 0.557, 95% CI 0.535 to 0.578), indicating symmetric directional co-movement consistent with coordinated joint travel within a pride subgroup. For the two mating-pair dyads at the 50–100 m and 100–200 m bins, the focal-individual CIs showed a sex-asymmetric pattern: the male (OJ-33867 or SU-33868) had a CI significantly above 0.5 in every bin, while the female (OK-33863 or RE-33864) had a CI significantly below 0.5 in the same bin. For the SU-RE mating pair, at 50–100 m the male’s ratio was 0.840 (95% CI 0.782 to 0.887) and the female’s was 0.177 (95% CI 0.127 to 0.237); at 100–200 m the male’s ratio was 0.926 (95% CI 0.875 to 0.961) and the female’s was 0.140 (95% CI 0.091 to 0.203). At distances below 15 m for these mating pairs the pattern reversed (Supplementary Table 2.4), with females moving toward males more often than away, consistent with female presenting at close range and male-led pursuit at slightly greater distances. The single Chobe-Linyanti intraspecific lion–lion dyad (KW-36716 with SW-33950) pairs lions from two different Chobe prides and the absence of a close-distance signal in it is consistent with cross-pride sampling, not with a between-ecosystem difference in pride coordination. Of the collared Chobe-Linyanti lions, AM-36714 and AF-34308 were from the same Linyanti Western pride; however, AM’s collar was not retrieved at the end of tracking, so only the satellite-uploaded subset of AM’s relocations was available, and this subset was insufficient to produce a usable concurrent five-minute dyad with AF. The within-pride coordination that the Etosha data resolved cannot therefore be tested directly within Chobe-Linyanti from the present sample.
Intraspecific hyena dyads: clan separation at short distances, variable at long distances
Hyena–hyena dyads produced a markedly different distance signature from lion–lion dyads. No concurrent five-minute fixes between any pair of collared hyenas in either ecosystem were recorded at inter-individual distances below 1 km; the closest paired-fix observations were in the 1–2 km bin (14 paired fixes across all four hyena–hyena dyads). This contrasts with the lion–lion dyads in Etosha that were observed at distances down to 50 m and below (in the mating pairs and the satellite-pride pair specifically), and confirms that the collared spotted hyenas in our sample maintained substantial separation from collared conspecifics from other clans even at the home-range scale. At distances up to 10 km, the per-dyad binomial CIs showed mixed directional signals: the 5–10 km bin recovered both retreat and approach signals depending on dyad, with no consistent pattern across the four hyena dyads (Supplementary Materials 3, Supplementary Table 2.3). All four hyena–hyena dyads in the analysis were within Etosha, so no within-Botswana hyena dyad results are available. However, during night-follow observations in Chobe-Linyanti, hyenas from different clans were sometimes observed feeding at the same carcass within minutes of each other, a tolerance behavior not observed during night follows in Etosha, where rare close-range encounters between hyenas from different clans terminated in mutual vigilance and retreat.
Additional robustness checks
Two additional robustness checks on the per-dyad CI inferences complement the per-unique-individual sensitivity check described above. First, Watson’s one-sample U2 test against a uniform circular null was applied to the full heading-difference distribution of each individual at each cumulative distance threshold (a total of 208 individual-threshold combinations). At the cumulative 10 km threshold, 31 of 46 individual-dyad combinations (67%) showed circular distributions departing significantly from uniform at the p < 0.05 level, with 24 of those at p < 0.01. By pairing type at the 10 km threshold, 11 of 20 interspecific individual-dyad combinations (55%), 13 of 18 intraspecific lion combinations (72%), and 7 of 8 intraspecific hyena combinations (88%) departed significantly from uniform. The Watson result confirms non-random movement in the dyads where the binomial CI itself was significant.
Second, the sensitivity of the per-dyad ratios to inclusion of orthogonal timesteps was evaluated by recomputing the ratio with orthogonal timesteps included in the denominator. Including orthogonals systematically lowered the ratio (mean reduction of 0.12 across the 46 individual-dyad combinations at the 10 km threshold) because orthogonal timesteps add to the denominator without contributing to towards counts. The direction of any departure from 0.5 (above versus below) was preserved in 26 of 46 cases; the remaining 20 cases all flipped from above 0.5 to below 0.5, reflecting the structural downward bias that arises from including orthogonals in the denominator. We therefore retain the
Discussion
Asymmetric interference competition operates through reactive retreat by the subordinate species
Our analysis of fine-scale dyadic movement in lion–hyena pairs provides population-level evidence consistent with the long-postulated mechanism by which spotted hyenas mediate the risk of interference competition with African lions. The retreat-by-hyena signal is supported across three complementary inferential layers. At the per-dyad layer, four of ten hyena focal animals showed significant directional bias toward retreat (that is, towards-versus-away ratios significantly below the no-bias value of 0.5, the value at which an individual moves toward and away from its partner with equal frequency). At the cumulative 10 km threshold, no hyena focal animal showed significant approach bias, and the asymmetric pattern was particularly visible in the OF-34309/SA-33872 dyad, in which the lion showed significant approach bias and the hyena showed significant retreat bias. At the across-dyad layer, treating each dyad’s hyena ratio as one observation against a null of no directional bias, the Wilcoxon signed-rank test was significant at the cumulative 2 km, 5 km, and 10 km thresholds, with the strongest signal at the 5 km cumulative threshold where all nine dyads with usable data showed retreat bias. At the population-modeling layer, the mixed-effects logistic regression with random intercept by dyad recovered a marginal retreat bias at the population level. The mixed-effects estimate is more conservative than the across-dyad Wilcoxon at ≤5 km because it uses the full distance range under 10 km (where between-dyad heterogeneity is greater) and weights dyads by fix count rather than equally. The two analyses converge in direction (population-level hyena retreat; no population-level lion approach) and the across-dyad evidence is most consistent at the 2–5 km range where the per-dyad data are densest and least diluted by dyads with very few close-distance observations. The three layers converge in direction and together support a population-level retreat bias in spotted hyenas relative to lions, which the broader literature on reactive avoidance among African carnivores (
The lion-focal signal is more heterogeneous and warrants careful interpretation. None of the three inferential layers supported a uniform population-level lion approach to hyenas: the across-dyad Wilcoxon did not reach significance at any threshold, and the mixed-effects model placed the lion towards probability consistent with no directional bias. What the data do show is dyad-level variability, with three specific lions (OF-34309 in OF/SA, RE-33864 in RE/SA, and SW-33950 in SW/SR) approaching their hyena partners significantly more often than chance, and the remaining seven lions showing no significant directional bias. Individual-level heterogeneity in carnivore responses to dominant competitors has been documented previously for spotted hyenas confronting lions (Watts et al., 2010), and the dyad-level variability we observe in the lion-focal signal is consistent with that broader pattern of within-species behavioral variation. The strength of lion-driven effects on co-occurring carnivores has been shown to vary across species pairs and with resource availability and lion abundance (
Stratifying lion focal animals by sex recovered a directionally consistent pattern with field-observation expectations, with male-lion dyads showing approach bias and female-lion dyads showing no consistent directional bias (Table 4). The limiting factor is the small number of unique collared male lions that produced interspecific dyads (two unique males across three dyads). The pattern is consistent with first-author night-follow observations across both ecosystems, in which male lions were repeatedly observed actively tracking hyenas while female lions showed more variable responses contingent on whether other pride members or males were present. This sex difference is consistent with the established asymmetry between male and female lions in their interactions with hyenas: adult male lions are the more dangerous and dominant competitors, accounting for most lion-caused hyena mortality and preventing kleptoparasitism at kills in Etosha (Trinkel and Kastberger, 2005), and spotted hyenas accordingly treat groups containing male lions as more dangerous, mobbing female-only groups far more readily (
The lion signal. where present. is informative in what it does not show. If hyena activity were aversive to lions, we would expect lion movement relative to hyenas to be biased toward retreat in at least some dyads. We see none. Instead, in three of the 10 dyads (and in all three male-lion dyads). lions move toward hyenas more often than chance, consistent with lions using hyena activity as an investigative cue, plausibly for scavenging opportunity or assessment of clan territory boundaries (
Lion intraspecific dyads reveal sexual-pair and satellite-pride coordination
The three Etosha lion dyads in which both individuals shared a sexual or social pair bond (the two mating pairs OK-33863 with OJ-33867 and RE-33864 with SU-33868, and the satellite-pride pairing NU-33865 satellite of MO-33866’s pride) all showed directional co-movement at distances below 100 m, consistent with the fission–fusion sociality of African lions (
The Etosha-versus-Chobe-Linyanti contrast in the intraspecific lion analysis reflects the sampling design rather than a definitive between-ecosystem difference in pride coordination. In Etosha three special associations (two mating pairs, one satellite-pride pairing) were identified post-collaring from the GPS records and continued night-follow observations, and these produced the close-distance lion–lion fixes that resolved the within-pride and within-pair pattern. In Chobe-Linyanti, AM-36714 and AF-34308 were from the same Linyanti Western pride, but AM’s collar was not retrieved at the end of tracking and only the satellite-uploaded subset of AM’s relocations was available, which was insufficient to produce a usable concurrent five-minute dyad with AF. The within-pride coordination that the Etosha data resolved cannot therefore be tested directly within Chobe-Linyanti from the present sample, and the absence of a close-distance signal in the single Chobe-Linyanti intraspecific lion–lion dyad (KW-36716 with SW-33950, which pairs the Chobe Eastern and Chobe Western prides) reflects cross-pride sampling rather than a real absence of within-pride coordination in Chobe-Linyanti lions. Fission-fusion social structure has been documented in lions across multiple ecosystems including both arid savannas and riparian systems (Schaller, 1972;
Hyena intraspecific dyads reflect inter-clan separation, with night-follow evidence of ecosystem contrast
Hyena intraspecific dyads differed from lion intraspecific dyads in one diagnostic respect: no concurrent five-minute fix between any pair of collared hyenas in either ecosystem was recorded at inter-individual distances below 1 km, in contrast to the lion–lion dyads in Etosha that were observed at distances down to 15 m in the mating and satellite pairs. The absence of close-distance hyena-hyena fixes confirms that the clan-territorial structure of spotted hyenas, with largely exclusive territories between neighboring clans (
Methodological strengths and limitations
The relative-motion analysis we apply here sits within a broader landscape of methods for quantifying dyadic interaction from animal tracking data. Foundational frameworks for testing spatial and temporal interaction between paired animals were developed for radio-tracking data (
The real-positions-only criterion for dyad construction is a deliberate conservatism. By requiring real, concurrent GPS fixes from both individuals at each timestep, we ensured that every inferred approach or retreat reflects actual animal positions rather than model-imputed locations whose error structure could plausibly induce spurious directional patterns. This reduced the effective sample size relative to a continuous-time movement model imputed analysis as in
The principal limitations are sample size and individual-level non-independence. The total number of dyads across both ecosystems is small for any species-pair combination (10 interspecific, 9 intraspecific lion, 4 intraspecific hyena), and many of the same individuals contribute to multiple dyads. We addressed the non-independence through the layered inferential strategy described in the Methods, with the per-dyad CI, across-dyad Wilcoxon and mixed-effects model converging in direction for the hyena retreat signal. One specific consequence of the small individual-level sample appeared in the mixed-effects fits: when both individual and dyad random effects were included in the model the individual random effect collapsed to zero variance (boundary singular fit), reflecting that with only three unique collared spotted hyenas across the interspecific data (and likewise eight unique collared lions, including two males), the model could not partition variance between within-individual and between-individual sources. A larger collared sample, particularly more unique collared individuals of each species and especially more collared male lions producing concurrent five-minute interspecific dyads, would resolve the individual random effect and would also provide the statistical power needed to confirm the marginal sex difference among lions at the conventional significance threshold. The OF-34309 dyad in particular suggests that male-lion approach to hyenas may be considerably stronger than the pooled three-dyad average implies, and dedicated collaring of additional male lions in either ecosystem would test this directly. Studies of elusive carnivores over large remote landscapes, where direct behavioral observation is logistically infeasible across most of the home-range, are inherently sample-size-constrained, and the value of the relative-motion method demonstrated here is precisely that high-resolution telemetry data can substitute for behavioral observation that cannot be obtained at scale, while the convergence between the GPS-derived sex pattern and direct night-follow observations in this study illustrates how the two evidence streams can reinforce one another.
Implications for coexistence
Lions and spotted hyenas occupy overlapping ecological roles across most of their African range, and the persistence of the two species in the same protected areas depends on behavioral mechanisms that reduce the costs of interference competition. The fine-scale movement data presented here resolve one such mechanism directly: reactive retreat by the subordinate species at the spatial scales at which a direct encounter would impose a cost. This operates alongside, rather than in place of, the spatiotemporal partitioning at the home-range and activity-period scales that other work has documented in this guild (Swanson et al., 2014; Vanak et al., 2013;
Conclusion
Asymmetric interference competition between sympatric African lions and spotted hyenas operates through reactive retreat by hyenas at the dyadic scale, sustained across distances of up to ten kilometers and across both savanna and riparian ecosystems. Lions show neither retreat nor consistent avoidance, and tend instead to track hyena activity, consistent with using hyena presence as an investigative cue. Within-species movement coordination is fundamentally different between the two species and is recoverable from telemetry data alone: lions exhibit strong fission–fusion coordination at fine spatial scales, including diagnosable mating-pair and satellite-group signatures in Etosha, while hyenas maintain largely exclusive clan territories with ecosystem-dependent inter-clan tolerance.
The dyadic relative-motion framework demonstrated here can be extended to other apex predator dyads where dual high-frequency telemetry is either currently available or will become available in the near future. More generally, as we enter movement ecology’s “big data era” (
Statements
Data availability statement
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.
Ethics statement
The animal study was approved by Animal Research Ethics Committee of the University of KwaZulu-Natal, South Africa (009/13/Animal). Institutional Animal Care and Use Committee of University of California at Berkeley (IACUC Protocol #R217-0512B) and Virginia Tech (IACUC Protocol #15-012). Ministry of Environment and Tourism Namibia Research/Collecting Permits 1724/2012, 1834/2013, 1956/2014. Department of Wildlife and National Parks Botswana Research Permit EWT 8/36/4 XXVIII (35). The study was conducted in accordance with the local legislation and institutional requirements.
Author contributions
NB: Investigation, Visualization, Resources, Funding acquisition, Data curation, Formal analysis, Conceptualization, Validation, Writing – review & editing, Supervision, Writing – original draft, Project administration, Methodology. LLV: Visualization, Methodology, Software, Writing – review & editing. FJ: Resources, Investigation, Writing – review & editing. VS: Resources, Software, Visualization, Writing – review & editing. KA: Resources, Writing – review & editing. RS: Resources, Funding acquisition, Writing – review & editing, Supervision. WG: Methodology, Supervision, Writing – review & editing, Resources, Funding acquisition.
Funding
The author(s) declared that financial support was received for this work and/or its publication. NAB. PGSD3-404001-2011. Natural Sciences and Engineering Research Council of Canada (NSERC). https://www.nserc-crsng.gc.ca/Students-Etudiants/PG-CS/BellandPostgrad-BelletSuperieures_eng.asp. WMG. GM83863. National Institutes of Health (NIH) Grant. https://www.nih.gov/grants-funding RS. University of KwaZulu-Natal funding. https://lifesciences.ukzn.ac.za/ KAA. NSF CNH2: 2009717, NSF Expeditions: 1918770 The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. This study was funded by the Natural Sciences and Engineering Research Council of Canada (NSERC); the School of Mathematics, and the School of Life Sciences from the University of KwaZulu-Natal, South Africa; and the Department of Environmental, Science, Policy and Management from the University of California at Berkeley.
Acknowledgments
We acknowledge Dr. Christopher Diab, Danica Metlay, Jacqueline Moser, Julie Fabricius Faustrup, Astri Frafjord, Linda Molloy, Christopher Mastropietro, Marthin Kasaona, Gabriel Shatumbu, Shayne Kotting, Mathews Daniel, Fredrick Khumub, Malakia Hango, Isaskar Uahoo, Dr. Rob Jackson, and Dr. Larry Patterson for support and assistance in the field; Boas Erckie, the Ministry of Environment and Tourism Namibia (Etosha National Park), Dr. Michael Flyman, the Department of Wildlife and National Parks Botswana (Chobe National Park), and the Chobe Enclave Community Trust (Linyanti Conservancy) for infrastructure support and permissions. We also acknowledge Lotek Wireless Inc., African Lion and Environmental Research Trust (ALERT), Namibian Environment & Wildlife Society (NEWS), Gert Uls and Resun GmbH for sponsoring some of the field equipment.
Conflict of interest
The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fetho.2026.1901233/full#supplementary-material
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Summary
Keywords
carnivore coexistence, GPS bio-logging, heterospecific avoidance, intraguild interactions, movement ecology, relative motion analysis, risk-mediated behavior, spatiotemporal dynamics
Citation
Barker NA, Luisa Vissat L, Joubert FG, Stowbunenko V, Alexander KA, Slotow R and Getz WM (2026) Predators in motion: fine-scale dyadic movements reveal interference competition and asymmetric coordination in African lions and spotted hyenas. Front. Ethol. 5:1901233. doi: 10.3389/fetho.2026.1901233
Received
05 June 2026
Revised
02 July 2026
Accepted
09 July 2026
Published
09 September 2026
Volume
5 - 2026
Edited by
Cristiane Gonçalves Titto, University of São Paulo, Brazil
Reviewed by
Scott Creel, Montana State University, United States
Emma Reasoner, Cheetah Conservation Fund, Namibia
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© 2026 Barker, Luisa Vissat, Joubert, Stowbunenko, Alexander, Slotow and Getz.
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*Correspondence: Nancy A. Barker, nancybarkerzoologist@gmail.com
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