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Group-level signatures in bonobo sociality

Published online by Cambridge University Press:  21 November 2024

Edwin J. C. van Leeuwen*
Affiliation:
Animal Behaviour and Cognition, Department of Biology, Utrecht University, Padualaan 8, 3584 CA Utrecht, The Netherlands Behavioural Ecology and Ecophysiology Group, Department of Biology, University of Antwerp, Universiteitsplein 1, 2610 Wilrijk, Belgium Centre for Research and Conservation, Royal Zoological Society of Antwerp, Koningin Astridplein 26, 2018, Antwerp, Belgium
Nicky Staes
Affiliation:
Behavioural Ecology and Ecophysiology Group, Department of Biology, University of Antwerp, Universiteitsplein 1, 2610 Wilrijk, Belgium Centre for Research and Conservation, Royal Zoological Society of Antwerp, Koningin Astridplein 26, 2018, Antwerp, Belgium
Marcel Eens
Affiliation:
Behavioural Ecology and Ecophysiology Group, Department of Biology, University of Antwerp, Universiteitsplein 1, 2610 Wilrijk, Belgium
Jeroen M. G. Stevens
Affiliation:
Behavioural Ecology and Ecophysiology Group, Department of Biology, University of Antwerp, Universiteitsplein 1, 2610 Wilrijk, Belgium SALTO Agro-and Biotechnology, Odisee University of Applied Sciences, Hospitaalstraat 23, 9100 Sint Niklaas, Belgium
*
Corresponding author: Edwin J. C. van Leeuwen; E-mail: [email protected]

Abstract

Humans show remarkable differences in social behaviour between families, groups, communities and cultures, whereas such group-level within-species variation in socio-behavioural propensities is typically overlooked in other species. Studies on intraspecific variation in animal social structures are needed to inform an evolutionary account of human sociality. Here, we study multiple independent bonobo populations (n = 6) in zoological settings to investigate if and how bonobos (n = 70) show group-specific signatures in sociality. By applying tailored Bayesian statistical methods, we find that beyond individual and dyadic variation, the groups substantially differ from each other in core dimensions of great ape sociality: social proximity, grooming and play. Moreover, the groups’ network structures are distinct regarding cohesiveness and clustering, with some groups forming cohesive wholes, while others showcasing high levels of sub-grouping. Overall, while there is consistent evidence of differences in sociality between the groups, the patterns of cohesiveness and clustering are not consistent across the networks. This suggests that rather than groups having different levels of sociality, different patterns of sociality exist in each group. These findings warrant caution with characterising bonobos’ behavioural phenotype at the species level, and identify an essential source of variation that needs to be integrated in phylogenetic analyses.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

Media summary: Similar to human societies, bonobo groups show substantial diversity in their social behaviours, precluding broad species-level characterisations.

Introduction

The human species is characterised by substantial behavioural variation at the individual (e.g. personality), dyadic (e.g. friendships) and group (i.e. cultures) levels. Such variability reflects phenotypic plasticity, which allows for a range of expressions that natural selection can act upon. A potent feature contributing to the biological success of the human species is its sociality, which can be defined as the tendency to associate and interact with others, forming social groups and networks. It encompasses a wide range of behaviours and structures that facilitate cooperation, communication and the establishment of social bonds (Bowles & Gintis, Reference Bowles and Gintis2011; Enfield & Levinson, Reference Enfield and Levinson2006; Tomasello, Reference Tomasello2010). Whereas the study of human sociality traditionally focuses on (group-level) behavioural variation (Enfield & Levinson, Reference Enfield and Levinson2006; McGrew, Reference McGrew1998; Mesoudi et al., Reference Mesoudi, Whiten and Dunbar2006; Sperber, Reference Sperber1996), this focus is only marginally applied to studies of sociality in non-human animals (henceforth ‘animals’), where typically single populations are chosen to represent the entire species (Kaufhold & van Leeuwen, Reference Kaufhold and van Leeuwen2019; Lott, Reference Lott1984; Strier, Reference Strier2017; van de Waal, Reference van de Waal2018). To gain more insight into the intricacies of animal behaviour and cognition, studies on (the range of) group-specific sociality are needed (Henrich & Boyd, Reference Henrich and Boyd1998; Kendal et al., Reference Kendal, Boogert, Rendell, Laland, Webster and Jones2018; Schradin, Reference Schradin2013; Silk et al., Reference Silk, Beehner, Bergman, Crockford, Engh, Moscovice and Cheney2009). For instance, only by comparing different groups of the same species may we be able to pinpoint whether culture has an influence on the respective species’ phenotypic expressions (Liebal & Haun, Reference Liebal and Haun2018; Nielsen & Haun, Reference Nielsen and Haun2015).

Currently, there is compelling evidence that animals display substantial behavioural variation at the individual and dyadic levels. For instance, personality traits have been identified across various animal taxa (David et al., Reference David, Cézilly and Giraldeau2011; Kurvers et al., Reference Kurvers, Eijkelenkamp, van Oers, van Lith, van Wieren, Ydenberg and Prins2009; Massen & Koski, Reference Massen and Koski2014; Tkaczynski et al., Reference Tkaczynski, Mielke, Samuni, Preis, Wittig and Crockford2020; Verspeek et al., Reference Verspeek, Staes, Leeuwen, Eens and Stevens2019; Webster et al., Reference Webster, Ward and Hart2009), and long-lasting social bonds, which could be linked to ‘friendships’, are common among non-human primates (henceforth ‘primates’) (Berghänel et al., Reference Berghänel, Ostner, Schröder and Schülke2011; Mitani, Reference Mitani2009; Silk et al., Reference Silk, Alberts and Altmann2003; Stevens et al., Reference Stevens, De Groot and Staes2015). Such selectivity at the individual and dyadic level has been evidenced to affect fitness in animals (e.g. Silk, Reference Silk2007; Webster et al., Reference Webster, Ward and Hart2009), which speaks to the importance of studying behavioural variation in animal species. However, the study of behavioural variation becomes more challenging at the group level. Previous endeavours have started to detail aspects such as group-specific traditions (Langergraber et al., Reference Langergraber, Boesch, Inoue, Inoue-Murayama, Mitani, Nishida and Vigilant2010; Luncz et al., Reference Luncz, Mundry and Boesch2012; Perry, Reference Perry2011; Santorelli et al., Reference Santorelli, Schaffner, Campbell, Notman, Pavelka, Weghorst and Aureli2011; van Leeuwen et al., Reference van Leeuwen, Cronin, Haun, Mundry and Bodamer2012; Whiten et al., Reference Whiten, Goodall, McGrew, Nishida, Reynolds, Sugiyama and Boesch2001) and variation in party size (Chapman et al., Reference Chapman, White and Wrangham1994; Furuichi, Reference Furuichi2009), yet a clear focus on sociality is lacking and, moreover, comparisons are often confounded by the groups living in different habitats. In humans, variation in socio-cultural practices has been linked to influential behavioural dimensions like cooperation (Du et al., Reference Du, Thomas, Bårdsen, Mace and Næss2019; Henrich et al., Reference Henrich, Boyd, Bowles, Camerer, Fehr, Gintis and Tracer2005), fairness (Blake et al., Reference Blake, McAuliffe, Corbit, Callaghan, Barry, Bowie and Warneken2015; Schäfer et al., Reference Schäfer, Haun and Tomasello2015) and social learning (van Leeuwen, Cohen, et al., Reference van Leeuwen, Cronin and Haun2018). For instance, research on the social lives of South Indian Tamils revealed that post-marital residence patterns play a crucial role in shaping the kinship structures and social support networks, resulting in notable group differences in how these communities organise and sustain social support (Power & Ready, Reference Power and Ready2019). We envisage that also in animals, social network structures may afford or hamper opportunities for engaging in behaviours which could substantially impact fitness outcomes (Kaufhold & van Leeuwen, Reference Kaufhold and van Leeuwen2019; van de Waal, Reference van de Waal2018).

Generally, group-level variation in sociality can be expected to arise based on ecological factors, genetics, demography and/or cultural variation. For instance, striped mice living in arid environments exhibit relatively abundant social lives, with several adults of both sexes sharing one nest. In contrast, when they live in moist grasslands, they live solitary lives, presumably owing to relative food scarcity (Schradin & Pillay, Reference Schradin and Pillay2005). In primates, socio-ecological models have been used to explain effects of ecological conditions on group size and sociality (Clutton-Brock & Janson, Reference Clutton-Brock and Janson2012; Snaith & Chapman, Reference Snaith and Chapman2007; Thierry, Reference Thierry2008; van Schaik, Reference van Schaik, Standen and Foley1989). For instance, for macaques and chimpanzees, respectively, it has been found that in larger groups individuals are less socially connected (Balasubramaniam et al., Reference Balasubramaniam, Beisner, Berman, De Marco, Duboscq, Koirala and McCowan2018) and distribute their social resources (like grooming efforts) more selectively than in smaller groups (Escribano et al., Reference Escribano, Doldán-Martelli, Cronin, Haun, van Leeuwen, Cuesta and Sánchez2022).

Such effects could be extended to other aspects of sociality like inter-individual distances (Enfield & Levinson, Reference Enfield and Levinson2006; Hall, Reference Hall1966), social cohesion (Gelfand et al., Reference Gelfand, Raver, Nishii, Leslie, Lun, Lim and Yamaguchi2011; Uz, Reference Uz2015) and inclinations to cooperate with one another (Henrich et al., Reference Henrich, Boyd, Bowles, Camerer, Fehr, Gintis and Tracer2005; House et al., Reference House, Kanngiesser, Barrett, Broesch, Cebioglu, Crittenden and Silk2020). These fundamentals of sociality are shaped by our everyday interactions within social circles, such as family, friends and living community, and form an integral part of our identities (Bornstein, Reference Bornstein2012; Clegg & Legare, Reference Clegg and Legare2016; Enfield & Levinson, Reference Enfield and Levinson2006; Keller et al., Reference Keller, Lohaus, Kuensemueller, Abels, Yovsi, Voelker and Mohite2009; Tomasello, Reference Tomasello2019; van Leeuwen, Cohen, et al., Reference van Leeuwen, Cohen, Collier-Baker, Rapold, Schäfer, Schütte and Haun2018). Moreover, they also determine the very opportunities we have to benefit from social life. For instance, the extent to which people interact with each other probabilistically influences their options to profit from social learning (Gelfand et al., Reference Gelfand, Raver, Nishii, Leslie, Lun, Lim and Yamaguchi2011; Mesoudi et al., Reference Mesoudi, Chang, Murray and Lu2015; Richerson & Boyd, Reference Richerson and Boyd2005; van Leeuwen, Cohen, et al., Reference van Leeuwen, Cohen, Collier-Baker, Rapold, Schäfer, Schütte and Haun2018). To date, however, there is limited knowledge on the extent of group-level variation in sociality in most animal species, including their possible consequences on individuals’ fitness (Kaufhold & van Leeuwen, Reference Kaufhold and van Leeuwen2019; van de Waal, Reference van de Waal2018).

A few reports on animal behaviour allude to the significance of addressing such intraspecific group-level variation. For instance, observational studies on wild olive baboons revealed a remarkable phenomenon wherein a troop maintained a culture of ‘pacifism’ despite significant demographic changes (Sapolsky & Share, Reference Sapolsky and Share2004). Even after the deaths of aggressive males owing to tuberculosis, the troop sustained peaceful interactions characterised by high rates of grooming, relaxed dominance hierarchies and non-aggressive behaviours between resident females and new immigrants (Sapolsky, Reference Sapolsky2006). Furthermore, translocation studies with macaques highlighted the adaptability of social behaviour in response to exposure to different socio-behavioural patterns. Juvenile rhesus macaques exhibited increased reconciliation rates after being housed with stumptail macaques, indicating a process of cultural assimilation where individuals adopt behaviours prevalent in the new social environment (de Waal & Johanowicz, Reference de Waal and Johanowicz1993). Albeit rare, also among non-primate species group-specific sociality has been documented. Research on sperm whale clans illustrated the diversity in social behaviours among distinct groups. Each clan exhibited unique social dynamics, indicating that sociality is not homogenous within a species and can vary significantly between different groups (Cantor & Whitehead, Reference Cantor and Whitehead2013, Reference Cantor and Whitehead2015). Specific to the great apes, regional variation in social behaviour has been reported in the wild. Studies on chimpanzee populations revealed regional differences in social behaviour, with west-African female chimpanzees exhibiting higher levels of sociality compared with their east-African counterparts. However, recent research suggests that nuances in group identity rather than subspecies level might play a significant role in shaping social dynamics (Koops et al., Reference Koops, Akankwasa, Camara, Fitzgerald, Keir, Mamy and Hobaiter2024; Lehmann & Boesch, Reference Lehmann and Boesch2008).

To understand the range of intraspecific group-level variation in our closest living relative – the bonobo (Pan paniscus) – in the current study, we adopted a multiple group approach using a standardised observation protocol to quantify individual, dyadic and group-level rates of social interactions. Specifically, we investigated whether zoo-housed bonobos exhibit group-level variation in three core dimensions of sociality: keeping proximity (close and distant), grooming and play. We operationalise sociality in terms of the frequencies of daily modes of interacting and explicitly focus on group-level variation as an overlooked source of variation in animal sociality (Kaufhold & van Leeuwen, Reference Kaufhold and van Leeuwen2019; Lott, Reference Lott1984; Strier, Reference Strier2017; van de Waal, Reference van de Waal2018). In this realm, in bonobos, there are a few reports on group differences in traditions (Hohmann & Fruth, Reference Hohmann and Fruth2003; Samuni et al., Reference Samuni, Wegdell and Surbeck2020; van Leeuwen et al., Reference van Leeuwen, Staes, Verspeek, Hoppitt and Stevens2020), yet systematic investigations of intraspecific variation in their general (group-)levels of sociality are lacking. We studied six groups of bonobos in similar environmental conditions using the same methodological approach. Recently, a study in three groups of wild vervet monkeys found that the extent to which the vervets engaged in affiliative behaviour (e.g. social proximity, grooming) was dependent on which group they lived in, and that these group-specific patterns were relatively stable over a 9 year period (Kerjean et al., Reference Kerjean, van de Waal and Canteloup2023). In the current study, we developed a tailored Bayesian approach to quantify variation in sociality at the individual (Verspeek et al., Reference Verspeek, Staes, Leeuwen, Eens and Stevens2019; Weiss et al., Reference Weiss, Staes, Pereboom, Inoue-Murayama, Stevens and Eens2015), dyadic (Stevens et al., Reference Stevens, De Groot and Staes2015) and group level, while controlling for temporal autocorrelation and demographic variation at the group level (i.e. group size and sex ratio). To further quantify sociality beyond individuals and dyads, we derived social network metrics from the four respective sociality variables to test the hypothesis that bonobos’ sociality is dependent on group identity. This novel quantification of bonobo sociality holds the potential to identify a hitherto overlooked dimension of their (group-specific) social lives and highlight a valuable component for empirical scrutiny in future comparative studies on our closest living evolutionary relatives (van Leeuwen et al., Reference van Leeuwen, Staes, Brooker, Kordon, Nolte, Clay and Stevens2023).

Methods

Procedure

We studied six zoo-housed groups of bonobos to determine whether group signatures of sociality can be identified over and above individual- and dyad-level variation. As measures of sociality, we focused on socio-positive behaviours pivotal to bonobo societies: close proximity (0–1 m), distant proximity (1–2 m), social play and allogrooming (Furuichi, Reference Furuichi2019).

Subjects

The study sample comprised 70 bonobos (of which 28 males) across six independent zoo-housed populations. We focused on individuals aged 7 years or older (n = 50), because of their relative independence with respect to making social choices. Previous research on captive bonobos suggests that the onset of puberty is likely to occur from approximately 6 to 10 years of age, with the sharpest increase in urinary testosterone around 8–9 years of age for males and an earlier but more gradual increase in females (Behringer et al., Reference Behringer, Deschner, Deimel, Stevens and Hohmann2014). Given uncertainty for individual subjects we decided to opt for a wide range and included all individuals aged 7 years and older into our analysis. The individuals younger than 7 years old were included as potential recipients of social behaviour, but not analysed as main actors (i.e. focal subjects). This means that all social behaviours of the focal subjects were included in this study, whether they were directed to other adolescents/adults or to individuals younger than 7 years old. Focal subjects’ mean age ± SD = 21.7 ± 12.7 years (age range 7–63 years). Group sizes ranged from eight to 16 individuals (which we accounted for in the analysis; see the section ‘Data analysis’). Table S1 provides all subject information including group identity, sex, and age at the start of the study.

All bonobos were housed adherent to the guidelines of the European Association of Zoos and Aquaria (EAZA) Ex-situ Program (Stevens, Reference Stevens2020). Bonobos had access to an indoor and outdoor enclosure at all zoos, with the exception of Wuppertal, which only had indoor enclosures at the time. Indoor and outdoor areas always contained large permanent climbing structures and nesting platforms. All groups had unlimited access to drinking water, were provisioned by keepers two to five times a day and were provided with similar amounts of enrichment throughout the period of observation (although this was not quantified in detail). Importantly, we note that even in living quarters much smaller than the wild habitats, great apes selectively choose who to associate and interact with (Kanngiesser et al., Reference Kanngiesser, Sueur, Riedl, Grossmann and Call2011; van Leeuwen et al., Reference van Leeuwen, Cronin and Haun2019). This means that obtained measures of sociality reflect the apes’ social decisions rather than forced choices.

Data collection

Data were collected with standardised protocols consisting of scan sampling at the onset of 10 min focal follow sessions. The scan sampling procedure yielded point behaviours and consisted of a group scan in which we scored social behaviours for all visible subjects, including their respective partners. We opted to only use these scan data to minimise data dependency (which is much higher during continuous data scoring in focal follows) (Martin & Bateson, Reference Martin and Bateson2007; Whitehead, Reference Whitehead2008). Close proximity was defined as being within 1 m distance or in physical contact without further interacting, distant proximity was defined as being within 2 m distance without further interacting (mutually exclusive with close proximity), play was defined as two or more individuals engaging in one or more activities such as tickling, gentle grabbing, pirouetting, pulling and/or pushing, slapping, sliding, and rough and tumble (Palagi, Reference Palagi2006), and grooming was defined as fur cleaning performed by one individual on another via hands or mouth (Sakamaki, Reference Sakamaki2013). If subjects were not interacting, the scan counted towards non-sociality in the analyses; if subjects were out-of-sight (yet present in their enclosure), they were only included in relation to subjects who were in sight, as this logically means that the non-visible subjects were not interacting with the visible ones (see the Supplementary Information). Data were collected by six observers under supervision of one of the co-authors (NS). Each observer received 3 weeks of training prior to data collection. After each student was trained, their inter-observer reliability was tested by scoring two 10 min bonobo focal video recordings. High Spearman rank correlations (mean ρ ± SD = 0.86 ± 0.15) were found across all observers coding the behaviours (Martin & Bateson, 2007b). Each group was daily sampled for a 3 month period between 2012 and 2014. A total of 5232 scans (leading to n = 35,939 data points) were obtained across the six groups (range 521–1286 scans). Our Bayesian data analyses incorporated measures of uncertainty accounting for the variation in sampling effort.

Data analysis

a. Quantifying sources of variation for different interaction types

We used a Bayesian generalised linear mixed model to assess variation between and within groups in the extent to which bonobo dyads (1) spent time in proximity, (2) engaged in play together and (3) groomed one another. The analysis of time spent in proximity was repeated based on two criteria differing in intensity: (1a) close proximity (within 1 m distance, at rest, not interacting); and (b) distant proximity (within 2 m distance, at rest, not interacting). We distinguished between these two measures of proximity because in the former one could engage physically with the partner, whereas the latter precludes this (yet still reflects a level of nearness). In all cases a binary response variable of the form y ijklm represents whether individuals i and j in group k (henceforth ‘dyad ijk’) were recorded as engaging in the target interaction (henceforth ‘interacting’) on scan l on day m (1) or not (0). We modelled this using a logit link function and Bernoulli error structure. Thus, the probability that dyad ijk was interacting for a given scan P(y ijklm = 1) was modelled as follows:

(1)$${\rm logit}( {P( {y_{ijklm} = 1} ) } ) = {\rm B}_{ijk} + \beta _{last}{\rm y}_{ijk( {l-1} ) m}$$

where yijk(l−1)m indicates whether dyad ijk was interacting during the previous scan (l − 1), set to zero for the first scan of each day. Therefore β last is a parameter allowing for any tendency for dyads to engage in bouts of interactions that continue across scans within a day, and thus allows for the resulting non-independence of successive scans. Bijk is then a linear predictor of random effects measuring the propensity for members of dyad ijk to engage in the target interaction. For close proximity, distant proximity and playing, this was defined as:

(2)$${\rm B}_{ijk} = a_k + b_{ik} + b_{\,jk} + c_{ijk}$$

where a k is a random effect of ‘group’, distributed as $a_k\approx N( {\alpha , \;\;\sigma_{group}^2 } )$, b ik is a random effect of ‘individual’, distributed as $b_{ik}\approx N( {0, \;\;\sigma_{ind}^2 } )$ and c ijk is a random effect of ‘dyad’, distributed as $c_{ijk}\approx N( {0, \;\;\sigma_{dyad}^2 } )$. The parameter α estimates the overall population mean (on the log odds scale). Variation between dyads in the tendency to interact is broken down into three sources of variation: group level, individual level and dyad level, with the relative magnitude of each being estimated by the standard deviation (SD) of each effect, respectively σ group, σ ind, σ dyad. The estimated relative magnitude of these effects tells us the extent to which groups vary in their propensity to interact relative to the variation within groups. The overall SD within groups can be calculated as $\sigma _{within} = \sqrt {\sigma _{dyad}^2 + 2\sigma _{ind}^2 }$, and we can then quantify the ratio of SD between/within groups as σ group/σ within.

Furthermore,$\;\sigma _{dyad}/\sqrt {2\sigma _{ind}^2 }$ provides a measurement of how dyads vary within groups; $\sqrt {2\sigma _{ind}^2 }$ is used instead of σ ind since this component of variance is counted twice – via b ik and via b jk. We denote this measure as σ dyad/σ IND where σ IND is thus the standard deviation of the variance component accounted for by individual tendencies. For example, if, at one extreme, bonobos vary in the extent to which they are in proximity to others, but each has no preference in whom they are in proximity with, we would expect σ IND to be large relative to σ dyad. If, on the other hand, bonobos differ in their preferences for who they want to be in proximity with, we would expect σ dyad to be large relative to σ IND.

Since grooming is a directional interaction, one individual was recorded as the groomer and the other as the groomed (recipient), which leads to the inclusion of one additional random effect for grooming:

(3)$${\rm B}_{ijk} = a_k + b_{ik} + d_{\,jk} + c_{ijk}$$

Here b ik is now individual i's propensity to groom and d jk is individual j's propensity to be groomed, with standard deviation σ rec (rec = recipient). Consequently, for grooming, we have:

$$\sigma _{within} = \sqrt {\sigma _{dyad}^2 + \sigma _{ind}^2 + \sigma _{rec}^2 } {\rm and\ }\sigma _{IND} = \sqrt {\sigma _{ind}^2 + \sigma _{rec}^2 } $$

Bayesian estimation was accomplished using Markov Chain Monte Carlo methods using the JAGS (Plummer, Reference Plummer2003) sampler, via the runjags (Denwood, Reference Denwood2016) and coda (Plummer et al., Reference Plummer, Best, Cowles and Vines2006) packages in the R statistical environment. Vague (uninformative) priors were specified for all model parameters, with α, β last ≈ N(0, 10000) and σ group, σ ind, σ dyad ≈ U(0, 10). Further descriptions of all models and the estimation procedure are provided in the Supplementary Information.

b. Estimation of social networks and network metrics

We also sampled posterior distributions for Bijk in each case, which enabled us to derive posterior distributions for the social networks representing the proportion of time engaged in each interaction for each dyad in each group (see the Supplementary Information). While playing and grooming are types of interaction, for which networks with rates of interaction are typically used, the scan sampling nature of our data makes an association-type network most appropriate. For example, n groom,ijk estimates the probability that i will be grooming j in group k at a random point in time, as opposed to quantifying the rate at which i initiates grooming of k per unit time. Our Bayesian modelling approach has a number of advantages over calculating a single number for each connection using e.g. the simple ratio index (Whitehead, Reference Whitehead2008). First, it controls for autocorrelation in successive scans. Second, it provides a measure of uncertainty in the value of each connection, which also allows us to quantify the uncertainty in metrics derived from them, simply by calculating metrics for each iteration of the Markov Chain Monte Carlo, thus obtaining a posterior sample (see the Supplementary Information).

Furthermore, we derived two node-based metrics for each individual: (1) strength – total connection to others in the group, e.g. $\mathop \sum \limits_j n_{prox, ijk}; \;$ and (2) cluster coefficient using the approach of Ahnert et al. (Reference Ahnert, Garlaschelli, Fink and Caldarelli2007) (see the Supplementary Information). For each iteration we then calculated the average strength and clustering across the subjects in each group enabling us to assess whether groups differed in these measures. Thus, we obtained posterior samples for network metrics at individual and group levels enabling us to derive estimates (mean of posterior) and 95% highest posterior density (HPD) intervals. We were also able to obtain 95% HPD intervals for the difference in strength and clustering between each pair of groups and test for evidence of a difference between each pair of groups (Tables S3–S10). Lastly, we tested whether groups may differ in their extent to which they form cliques of interacting individuals (Girard-Buttoz et al., Reference Girard-Buttoz, Surbeck, Samuni, Boesch, Fruth, Crockford and Wittig2020; Sakamaki, Reference Sakamaki2013) (e.g. more than two individuals at the same time), over and above that predicted by the dyadic interaction rates estimated in the model. Overall, we inferred evidence for group-level variation in sociality when the 95% highest posterior density interval (HPDI) for the difference between groups did not include zero.

c. Effect of dyad-level variables

We expanded the models described in Eqns (1)–(3) to include dyad-level variables in the linear predictor Bijk (see the Supplementary Information for model definitions). For non-directional interactions (close proximity, distant proximity and playing) we included the magnitude of the difference in age (standardised across all groups), two binary variables indicating whether a dyad was maternal and paternal kin, and whether they were a different sex or both male (with female dyads set to the reference level). For grooming (directional) age difference was entered as age of groomer – age of groomed (standardised across all groups). There were also two indicator variables for mixed sex dyads: males grooming females and females grooming males. Group-level variables were also considered, but with only six groups we had insufficient statistical power to draw any conclusions (see the Supplementary Information).

Results

Descriptive statistics

For each dyad, and each of the four sociality metrics, we calculated the ‘raw’ proportion of scans in which the target behaviour was occurring. We then summed across dyads to get a total proportion of time engaged in the activity for each individual. Afterward, we took the mean and standard deviation across groups (Table 1). Here, we can already see substantial differences across the groups, which we test more formally in the sections below.

Table 1. Mean (μ) and standard deviation (σ) of the dyadic association and interaction rates in the six sampled groups of bonobos

To formally test whether the groups of bonobos differed from each other in their levels of sociality, we computed the independent contributions of individual, dyadic and group-level variation to test the hypothesis that comparable groups of bonobos differ from one another in terms of core social dimensions even after accounting for expected sources of variation in sociality (including temporal dependency; Whitehead, Reference Whitehead2008). Furthermore, we computed two common group-level social metrics (i.e. average strength and clustering; Sosa et al., Reference Sosa, Sueur and Puga-Gonzalez2021; Whitehead, Reference Whitehead2008) to enable comparison of sociality at the group-level. Lastly, we quantified sociality at the group-level by investigating the occurrences of cliques of individuals associating or interacting at the same time (Girard-Buttoz et al., Reference Girard-Buttoz, Surbeck, Samuni, Boesch, Fruth, Crockford and Wittig2020; Sakamaki, Reference Sakamaki2013).

Group-level signatures

In all four analyses, the group level standard deviation (σ group) estimated with 95% HPDIs is clearly away from zero (Table 2), indicating that there is strong evidence of systematic differences between groups in sociality that are not fully accounted for by sampling error at the level of individuals and dyads. In other words, it is statistically unlikely that the observed differences in sociality between the study groups are purely a result of differences in the sociality of individuals and dyads that comprise those groups. In all four network types, the between-group variation is estimated to be smaller than the within-group variation, but of a plausibly similar magnitude for both proximities and play with 95% HPD intervals for σ group/σ within including 1. Table 2 shows the estimates of the standard deviations for each component of variance (see Table S2 for the estimated population means for each behaviour), while Figure 1 shows the components broken down as an estimated percentage of variance.

Table 2. Summary of posterior estimates for random effects in all four analyses. The top three rows give the mean of the posterior sample for the group, dyad, and individual level random effects, respectively, the fourth row for the recipient of grooming. The fifth row gives the mean of the posterior sample for σ group/σ within , providing an estimate of the relative between and within group variation. The sixth row gives the mean of the posterior sample for σ dyad/σ IND providing an estimate of the relative importance of dyad- vs. individual-level variation. The 95% highest posterior density intervals (HPDIs) are given in brackets. Shaded cells indicate that the 95% HPD interval for ratio of two SDs does not include 1, meaning that either the numerator or denominator receives more weight. In that case, we infer evidence for one of the sources of variance being more influential than the other

Figure 1. Breakdown of variance in the log-odds of interaction across all dyads for four interaction types. *Individual variance counts twice towards the overall variance for non-directional interactions. In contrast, for grooming (directional), there is a separate component for variation in the extent to which individuals groomed others (individual) and to which they were themselves groomed by others (recipient).

For close proximity and distant proximity, the dyad-level variation dominates the individual-level variation (Table 2; Figure 1), suggesting that, within groups, individuals tend to be similar in their propensity to be in proximity to others, but that they have strong preferences in whom they associate with. In the play analysis, the individual variation is estimated to be slightly greater than the dyad-level variation (Figure 1), with σ dyad/σ ind estimated at 0.712 with HPD interval 0.473–0.988 (Table 2), indicating that individuals vary substantially in their playfulness, but that each also has favoured playmates. Finally, variation between recipients of grooming is much greater than between groomers (Table 2; Figure 1), indicating that there are certain individuals who tend to be groomed a lot and individuals who tend not to be groomed (more so than the difference between the extent to which individuals groom others).

Importantly, all the reported outcomes exist while controlling for the significant effect of autocorrelation between successive scan points (see Supplementary Tables S2, S11 and S12) and for the effects of group size and sex ratio. These latter two group-level effects, however, could not be estimated with any reasonable level of certainty owing to low power at the group level (see the Supplementary Information Section S3).

Social network metrics

For close proximity, distant proximity and play, the six bonobo groups clearly differ from one another in terms of estimated average strength of sociality (total connection) and estimated average clustering coefficient (see Tables S3–S10 for the group contrasts and Figure 2 for the overall estimates). In contrast, for grooming, most groups appear similar in average strength, except for the Stuttgart group, for which average strength is considerably lower (Table S9). For clustering of grooming interactions, again, the groups differ substantially from each other (Table S10; Figure 2d).

Figure 2. Group differences in the node-based measures strength (total connection to others) and clustering coefficient (the extent to which the neighbours of one individual tend to be linked to one another). The coloured squares are the estimates (mean of posterior distribution) of group means across subjects: A, Apenheul; F, Frankfurt; P, Planckendael; S, Stuttgart; T, Twycross; W, Wuppertal. Error bars show 95% highest posterior density intervals. Points represent individuals with colours indicating group membership.

Furthermore, we investigated a measure of extended dyadic interactions, namely the extent to which groups form cliques of interacting individuals (Sakamaki, Reference Sakamaki2013). Here, for all measures except for grooming, we found substantial differences between groups over and above that expected by the dyadic interaction rates (see Section S6). Lastly, we aimed to check whether the observed group differences in sociality may be specifically influenced by group size and/or sex ratio. However, owing to a lack of power, the models were unable to identify whether any of such effects were present in the data (see Section S3).

In summary, while there is consistent evidence of differences in sociality between groups, the patterns of strength and clustering are not consistent across the four networks. This suggests that rather than groups having different levels of sociality, different patterns of sociality exist in each group, e.g. some groups groom more whereas other groups play more, or are more likely to associate in (close) proximity.

Effects of dyad-level variables

We found evidence that groups differed in their rates of association (close proximity and distant proximity) and interaction (play and grooming) and that the variation within groups was predominantly at the dyad, rather than the individual level. Therefore, we next assessed what variables might drive such differences between and within groups (for model specifications, see the Supplementary Information).

Kin effects

For all four sociality measures, there is strong evidence that maternal kin are much more likely to interact than other dyads. Back transforming to the odds scale, at a random point in time, maternal kin are an estimated 6.1× (95% HPDI: 2.7–14.3) more likely to be in close proximity, 3.5× (1.6–7.8) more likely to be in distant proximity, 12.2× (5.1–31.5) more likely to be playing together and 15.8× (7.8–31.2) more likely to be grooming one another than dyads who are not maternal kin. There is little evidence that this effect also applies to paternal kin, except for play where paternal kin dyads are an estimated 1.49× (1.1–17.0) more likely to be engaged in play than dyads who are not paternal kin. Estimates of all parameters with highest posterior density intervals can be found in the Supplementary Information.

Sex effects

There is strong evidence that female dyads spend more time in close proximity and distant proximity than other sex combinations, although this effect is weaker than the effect of maternal kinship. Back transforming to the odds scale, at a random point in time female dyads are an estimated 2.0× (95% HPDI: 1.3–3.2) more likely to be in close proximity and 1.8× (1.6–3.0) more likely to be in distant proximity than mixed sex dyads. Female dyads are also an estimated 2.9× (95% HPDI: 1.2–6.9) more likely to be in close proximity and 2.8× (1.2–6.6) more likely to be in distant proximity than male dyads. There is little evidence of sex effects on play or grooming, nor of any difference between male dyads and mixed sex dyads in any analyses. Likewise, there is no evidence that males groom females more than females groom males or vice versa. However, the 95% HPD intervals are wide in all cases (see the Supplementary Information), so sizeable effects in either direction cannot be ruled out based on these data.

Age effects

There is reasonable evidence that dyads more similar in age spend more time in proximity than dyads less similar in age. Back transforming to the odds scale, an increase of 1 SD in age difference leads to a predicted 0.75× (95% HPDI: 0.58–0.98) reduction in the time spent in close proximity. The effect goes in the same direction for distant proximity, but the 95% HPDI includes zero indicating a lack of strong evidence. There is little indication of an age effect on play or on grooming.

Discussion

While controlling for individual and dyadic variation between bonobos, in this study, we show that groups of bonobos have their own group-specific sociality, where some groups engage more in grooming, while other groups express their sociality more in terms of social proximity without interaction. Furthermore, some groups of bonobos were much more tightly connected (cf. social network strength and clustering) and engaged in larger-group social congregations (i.e. cliques) than others, which indicates that within the bonobo species, substantial group-level variation exists with respect to the expression of their social phenotype. In this light, we find support for our hypothesis that bonobos’ sociality is dependent upon group identity (cf. Kerjean et al., Reference Kerjean, van de Waal and Canteloup2023) which implies that species-level typologies like ‘peaceful bonobos’ or ‘aggressive chimpanzees’ (Furuichi, Reference Furuichi2011; Gruber & Clay, Reference Gruber and Clay2016; Nurmi et al., Reference Nurmi, Hohmann, Goldstone, Deschner and Schülke2018; Parish, Reference Parish1994) lose credibility (also see van Leeuwen et al., Reference van Leeuwen, Staes, Brooker, Kordon, Nolte, Clay and Stevens2023).

For all the reasons that (close) proximity and grooming are important in the lives of bonobos (Allanic et al., Reference Allanic, Hayashi and Matsuzawa2020; Dunbar, Reference Dunbar1991; Furuichi, Reference Furuichi2019; Sakamaki, Reference Sakamaki2013; Samuni & Surbeck, Reference Samuni and Surbeck2023), our findings mean that bonobos in some groups may experience more favourable social conditions than in others. In other words, their group-level sociality could correlate with individuals’ potential for adaptive interactions. Under wild scenarios, this could play out in differential fitness outcomes, which reiterates the importance of studying group-level variation in sociality. For instance, innovations such as foraging skills, or predator avoidance strategies spread faster in tightly knit societies (Barkoczi & Galesic, Reference Barkoczi and Galesic2016; van Boekholt et al., Reference van Boekholt, van de Waal and Sterck2021) and certain behaviours are transmitted with differential efficiencies based on the type of networks involved (e.g. grooming vs. proximity networks) (Boogert et al., Reference Boogert, Nightingale, Hoppitt and Laland2014; Hasenjager et al., Reference Hasenjager, Leadbeater and Hoppitt2020; van Leeuwen et al., Reference van Leeuwen, Staes, Verspeek, Hoppitt and Stevens2020; Voelkl & Noë, Reference Voelkl and Noë2008). Similarly, variations in network structures may selectively promote cooperative interactions, potentially impacting individuals’ competitive advantages (Apicella et al., Reference Apicella, Marlowe, Fowler and Christakis2012; Voelkl & Kasper, Reference Voelkl and Kasper2009). As such, taking intraspecific group-level variation seriously when studying the adaptive value of behavioural traits seems essential (Kaufhold & van Leeuwen, Reference Kaufhold and van Leeuwen2019; van de Waal, Reference van de Waal2018).

In more detail, we observed that maternal kin biases social behaviour across all metrics, while sex only affects proximity, with females being more likely to stay close together compared with other sex combinations. Interestingly, this effect was not observed for grooming or playing. Additionally, bonobos of similar age tend to stay in proximity more than those with larger age differences, indicating a cohort effect, although this trend did not apply to grooming or playing. These findings are consistent with earlier reports on bonobos’ social life (Furuichi, Reference Furuichi2011, Reference Furuichi2019; Parish & De Waal, Reference Parish and De Waal2000), and beg the question to what extent family ties and sex ratios affect group-level sociality. In the current study, we tested the effects of group size and sex ratio on the bonobos’ sociality, yet, owing to a relatively small sample size at the group level (N = 6), these analyses yielded large magnitudes of uncertainty, leaving the question open for future research incorporating more groups (Torfs et al., Reference Torfs, Stevens, Verspeek, Laméris, Guéry, Eens and Staes2023; van Leeuwen et al., Reference van Leeuwen, Staes, Brooker, Kordon, Nolte, Clay and Stevens2023).

The use of a standardised data-collection procedure across groups and the tailored statistical approach of separating individual, dyadic and group-level variation yield a novel quantification of bonobo sociality across groups and ensure that our findings have a number of plausible implications.

First, the assumption that studying one group of animals of a given species justifies generalisations at the species level is rendered questionable, at least for spontaneously expressed social behaviour in great apes (Cronin et al., Reference Cronin, van Leeuwen, Vreeman and Haun2014; Kaigaishi et al., Reference Kaigaishi, Nakamichi and Yamada2019; van Leeuwen et al., Reference van Leeuwen, DeTroy, Kaufhold, Dubois, Schütte, Call and Haun2021, Reference van Leeuwen, Staes, Brooker, Kordon, Nolte, Clay and Stevens2023). An earlier study already reported that bonobos’ flagship trait of female bonding is not universal across different groups of bonobos (Stevens et al., Reference Stevens, Vervaecke, De Vries and Van Elsacker2006) and recent findings in four groups of sanctuary-housed chimpanzees have similarly identified substantial group-level differences in social behaviour (van Leeuwen, Cronin, et al., Reference van Leeuwen, Cronin and Haun2018). This implication may be especially relevant for attempts to trace the phylogenetic origins of behaviours, which seems daunting in the absence of knowledge on the breadth of variation in the species under study (Garamszegi, Reference Garamszegi2014; Kamilar & Cooper, Reference Kamilar and Cooper2013; Strier, Reference Strier2017). Phylogenetic regression analyses aim to trace the evolutionary paths of behaviours and uncover mechanisms behind specific behavioural outcomes (Lycett et al., Reference Lycett, Collard and McGrew2007; MacLean et al., Reference MacLean, Matthews, Hare, Nunn, Anderson, Aureli and Wobber2012). These analyses focus on species-typical behaviours, which raises the question: ‘what is species-typical behaviour?’ Behaviour evolves more flexibly than morphology or physiology (Blomberg et al., Reference Blomberg, Garland and Ives2003), making it difficult to estimate behavioural phenotypes accurately. Intraspecific variation further complicates phylogenetic analyses by adding another layer of variability. To address this, it is suggested to estimate parameter values by weighing species’ influence based on the number of sampled groups and subjects per group. Methodologically, however, increasing sample sizes – particularly the number of groups per species – and the sampling effort within groups are crucial.

Second, our findings corroborate the observation that bonobos exhibit a high level of behavioural flexibility (Hohmann & Fruth, Reference Hohmann and Fruth2003), which informs the debate about the evolution of adaptive potential in humans and other hominins (de Waal, Reference de Waal, Wrangham, McGrew, de Waal and Heltne1994; Stevens et al., Reference Stevens, Vervaecke and Van Elsacker2008; van Schaik, Reference van Schaik2013). The adaptive potential of humans refers to our ability to adjust and thrive in various environments and situations. This adaptability is rooted in our cognitive abilities, social structures and behavioural flexibility, e.g. we can learn from experiences, innovate and collaborate to solve problems, which has been crucial to our survival and success as a species (Henrich, Reference Henrich2016; Tomasello, Reference Tomasello2014). Apparently, bonobos are highly flexible animals too, in the sense that their most fundamental social behaviour encompasses substantial degrees of freedom to attune to local circumstances (Stevens et al., Reference Stevens, Vervaecke and Van Elsacker2008). In conjunction with similar positive evidence from humans’ other closest living relative – the chimpanzee (de Waal, Reference de Waal, Wrangham, McGrew, de Waal and Heltne1994) – this indicates that the phylogenetic appearance of such adaptive potential predated the emergence of the hominin lineage.

Third, our results are consistent with an explanation in terms of social learning, which leads to the final implication of our findings: bonobos’ social lives may be (partly) shaped by cultural processes. Bonobos are known to engage in cultural behaviours (Hohmann & Fruth, Reference Hohmann and Fruth2003; Samuni et al., Reference Samuni, Wegdell and Surbeck2020; van Leeuwen et al., Reference van Leeuwen, Staes, Verspeek, Hoppitt and Stevens2020), but to date, such characterisations of culture have mostly been limited to isolated and clearly delineated behavioural forms, like hunting preferences (Samuni et al., Reference Samuni, Wegdell and Surbeck2020) or groom-slapping (van Leeuwen et al., Reference van Leeuwen, Staes, Verspeek, Hoppitt and Stevens2020). Our current results are consistent with the possibility that bonobos’ social networks can themselves be culturally governed. For instance, bonobos may learn from observing their group members which social behaviours are part of their group's preferred behavioural repertoire, or even which behaviours are most conducive to favourable outcomes (e.g. eliciting affiliative responses). Such social learning does not have to be cognitively demanding or comprise detailed know-how copying (Tennie et al., Reference Tennie, Bandini, van Schaik and Hopper2020), yet could nonetheless result in the within-group behavioural synchrony observed in this study (e.g. see (Berthier & Semple, Reference Berthier and Semple2018; Koski & Burkart, Reference Koski and Burkart2015; Ostner et al., Reference Ostner, Wilken and Schülke2021)). Such cultural shaping of sociality may go hand in hand with genetic (Staes et al., Reference Staes, Stevens, Helsen, Hillyer, Korody and Eens2014) and demographic (DeTroy et al., Reference DeTroy, Ross, Cronin, van Leeuwen and Haun2021) influences (Koops et al., Reference Koops, Visalberghi and Van Schaik2014; Schradin, Reference Schradin2013), yet warrants closer scrutiny given its hitherto overlooked status in the study of animal (but not human) culture.

An alternative driver of variation in bonobo sociality in zoological settings (this study) may be the differential housing conditions in terms of e.g. enclosure space, diet, and husbandry style. We did not conduct detailed analyses on such parameters because research has shown that great apes, even in confined spaces like zoos, deliberately choose their interaction partners, especially for close proximity (0–1 m) and grooming (Kanngiesser et al., Reference Kanngiesser, Sueur, Riedl, Grossmann and Call2011; Stevens et al., Reference Stevens, Vervaecke and Van Elsacker2008; van Leeuwen et al., Reference Verspeek, Staes, Leeuwen, Eens and Stevens2019). Moreover, there is a wealth of studies showing that apes form long-lasting social relationships, both in the wild and in zoological settings, which further points towards them selectively seeking out individuals to associate and/or interact with (Massen & Koski, Reference Massen and Koski2014; Stevens et al., Reference Stevens, Vervaecke, De Vries and Van Elsacker2006; Verspeek et al., Reference Verspeek, Staes, Leeuwen, Eens and Stevens2019). The impact of other factors like husbandry style, diet and/or enrichment programmes may be charted in future studies, but at this point, there is reason to assume that these factors are negligible in explaining the group differences we observed in the current study, as all zoos are EAZA accredited and have as such similarly high standards with respect to ape management.

Furthermore, we acknowledge that our data-collection windows encompass only a fraction of the lifespan of the apes, and that longitudinal data would be valuable to pinpoint determinants of sociality and possibly to identify regulating mechanisms for maintaining group stability (e.g. policing (Flack et al., Reference Flack, Girvan, de Waal and Krakauer2006) and conformity (Tkaczynski et al., Reference Tkaczynski, Mielke, Samuni, Preis, Wittig and Crockford2020; van Leeuwen, Reference van Leeuwen2021)). Nonetheless, this cross-sectional approach exposes variation between the ape groups that could affect their respective responses to all kinds of (experimental) conditions, like visitor effects (Davey, Reference Davey2007), cooperation opportunities (Suchak et al., Reference Suchak, Eppley, Campbell, Feldman, Quarles and de Waal2016; van Leeuwen et al., Reference van Leeuwen, DeTroy, Kaufhold, Dubois, Schütte, Call and Haun2021) and unequal reward distributions (Brosnan et al., Reference Brosnan, Schiff and de Waal2005). For this reason alone, future studies would benefit from a multi-group approach or even from regressing socio-demographic variation on the response variable under study to chart its reaction norm (e.g. see DeTroy et al., Reference DeTroy, Ross, Cronin, van Leeuwen and Haun2021). Finally, it remains important to test to what extent the findings of these zoo-housed populations hold for bonobos (or any other socially living species) in the wild (e.g. see Koops et al., Reference Koops, Akankwasa, Camara, Fitzgerald, Keir, Mamy and Hobaiter2024 for an indication in chimpanzees).

In summary, the current study provides important evidence that – beyond the hitherto reported individual (Verspeek et al., Reference Verspeek, Staes, Leeuwen, Eens and Stevens2019) and dyadic variation (Stevens et al., Reference Stevens, De Groot and Staes2015) in social behaviour – groups of bonobos can substantially differ from one another in fundamental domains of their social lives. A relevant next step would be to investigate if groups of bonobos, contingent on their (current) group-level sociality, may also respond differently to situations requiring social cooperation, such as sharing resources or coordinating during group activities (Samuni et al., Reference Samuni, Crockford and Wittig2021; Samuni & Surbeck, Reference Samuni and Surbeck2023; van Leeuwen et al., Reference van Leeuwen, DeTroy, Kaufhold, Dubois, Schütte, Call and Haun2021). Such investigations could ground the observed group-level variation into an adaptive evolutionary framework.

Supplementary material

The supplementary material for this article can be found at https://doi.org/10.1017/ehs.2024.44.

Acknowledgements

We are very grateful to all zoological institutions who facilitated data collection at their premises. Moreover, we are much indebted to William Hoppitt for his excellent, bespoke statistical consultancy.

Author contributions

E.J.C.v.L. conceived of the study, designed, and coordinated the study, co-analysed the data and wrote the manuscript. N.S. coordinated the study, collected data and commented on the manuscript. M.E. commented on the manuscript. J.M.G.S. coordinated the study and commented on the manuscript. All authors gave final approval for publication and agree to be held accountable for the work performed therein.

Financial support

E.J.C.v.L. and N.S. were funded by the Research Foundation Flanders (grants 12W5318N and 1249124N). E.J.C.v.L. was furthermore funded by the European Union under ERC starting grant no. 101042961 – CULT_ORIGINS. Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them. The Centre for Research and Conservation (CRC) is structurally supported by the Flemish Government.

Competing interest

The authors declare to have no competing interests.

Research transparency and reproducibility

Data availability statement

All data used in this study are available at the following public repository: https://surfdrive.surf.nl/files/index.php/s/9FM1BQfzcHhF0R4

Code availability statement

The code used in this study is available upon reasonable request from the first author (Edwin J. C. van Leeuwen).

Ethics statement

This was a non-invasive, observational study. The apes received regular feedings and had ad libitum access to water. Animal husbandry was not affected by this study and fully complied with institutional guidelines and international standards as stipulated by the European Association of Zoos and Aquaria.

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Figure 0

Table 1. Mean (μ) and standard deviation (σ) of the dyadic association and interaction rates in the six sampled groups of bonobos

Figure 1

Table 2. Summary of posterior estimates for random effects in all four analyses. The top three rows give the mean of the posterior sample for the group, dyad, and individual level random effects, respectively, the fourth row for the recipient of grooming. The fifth row gives the mean of the posterior sample for σgroup/σwithin , providing an estimate of the relative between and within group variation. The sixth row gives the mean of the posterior sample for σdyad/σIND providing an estimate of the relative importance of dyad- vs. individual-level variation. The 95% highest posterior density intervals (HPDIs) are given in brackets. Shaded cells indicate that the 95% HPD interval for ratio of two SDs does not include 1, meaning that either the numerator or denominator receives more weight. In that case, we infer evidence for one of the sources of variance being more influential than the other

Figure 2

Figure 1. Breakdown of variance in the log-odds of interaction across all dyads for four interaction types. *Individual variance counts twice towards the overall variance for non-directional interactions. In contrast, for grooming (directional), there is a separate component for variation in the extent to which individuals groomed others (individual) and to which they were themselves groomed by others (recipient).

Figure 3

Figure 2. Group differences in the node-based measures strength (total connection to others) and clustering coefficient (the extent to which the neighbours of one individual tend to be linked to one another). The coloured squares are the estimates (mean of posterior distribution) of group means across subjects: A, Apenheul; F, Frankfurt; P, Planckendael; S, Stuttgart; T, Twycross; W, Wuppertal. Error bars show 95% highest posterior density intervals. Points represent individuals with colours indicating group membership.

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