1 Title page

2 New research frameworks in the study of and

3 sociality and communication

4 Running Title: Chimpanzee and gorilla sociality

5 Sam George Bradley Roberts1*†, Anna Ilona Roberts2*†

6 Affiliations:

7 1School of Natural Sciences and Psychology, Liverpool John Moores

8 University, Byrom Street, Liverpool, L3 3AF

9 2Department of Psychology, University of Chester, Chester; Parkgate

10 Road, Chester CH1 4BJ, UK

11 *Correspondence to: [email protected],

12 [email protected] ,

13 †Equally contributing authors

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2 23Abstract

24Group size in primates is strongly correlated with brain size, but exactly

25what makes larger groups more ‘socially complex’ than smaller groups is

26still poorly understood. (Pan troglodytes) and

27(Gorilla gorilla) are among our closest living relatives and are excellent

28model species to investigate patterns of sociality and social complexity in

29primates, and to inform models of social evolution. The aim of this

30paper is to propose new research frameworks, particularly the use of

31social network analysis, to examine how social structure differs in small,

32medium and large groups of chimpanzees and gorillas, to explore what

33makes larger groups more socially complex than smaller groups. Given a

34fission-fusion system is likely to have characterised hominins, a

35comparison of the social complexity involved in fission-fusion and more

36stable social systems is likely to provide important new insights into

37human social evolution.

38Keywords: sociality, communication, social network analysis,

39chimpanzees, gorillas

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50Introduction

51 One of the distinctive features of primates is that they have

52unusually large brains for their body size (Jerison, 1973). The social brain

53hypothesis proposes that the social world of primates is especially

54complex, and that this has imposed selection pressure for increasingly

55large brains. Group size in primates is strongly correlated with brain

56size, and specifically with neocortex size in relation to the rest of the

57brain (R. I. M. Dunbar, 1998). Thus, primates living in larger groups have

58larger neocortex ratios. However, exactly what makes larger groups

59more ‘socially complex’ than smaller groups is poorly understood. The

60social brain hypothesis itself is based on the relationship between social

61complexity (i.e. managing a more complex network of social

62relationships) and neocortex size, not simply on the quantitative

63relationship between group size and brain size (Manninen et al., 2017).

64 To date most of the studies which examined primate social

65complexity and cognitive ability have used the approach of comparing the

66neocortex ratio to group size, or the neocortex ratio to behaviours

67thought to be indicative of social complexity such as tactical deception,

68complex male mating strategies or social play (R. I. Dunbar & Shultz,

4 692007; Graham, 2011; Manninen et al., 2017). However, group size is a

70relatively crude measure of social complexity, and does not provide a

71detailed explanation of why larger groups are more complex than smaller

72ones, or of how the way in which the group is structured affects the

73number and types of relationships an individual primate has to keep

74track of (Aureli & Schino, 2019). Further, examining how individual

75behaviours are related to the neocortex ratio is a piecemeal approach,

76and only focuses on a limited number of the many behavioural

77interactions that go into forming complex social relationships.

78 The purpose of this paper is to review research in a newly

79emerging field of social and communicative complexity of primates and

80identify key areas for future research. First, we examine how social

81structure differs in small, medium and large groups of chimpanzees and

82gorillas to explore what makes larger groups more socially complex than

83smaller groups. Second, we explore how these variations in social

84structure in different size groups are affected by the social organisation

85of the species. Chimpanzees are characterised by a fluid fission-fusion

86social system (Goodall, 1986), whereas gorillas have more stable,

87cohesive groups (D. M. Doran & McNeilage, 1998). Social network

88analysis provides a novel way to describe and compare social

89relationships and social structure (Koyama, Ronkainen, & Aureli, 2017;

90Krause, Lusseau, & James, 2009; Sueur, Jacobs, Amblard, Petit, & King,

912011). Examining these links will therefore lead to a novel, systematic

92way of comparing social structure and social complexity in ,

93primates and other animals, something that is sorely lacking in current

5 94comparative studies of social structure. Given a fission-fusion system is

95likely to have characterised hominins, a comparison of the social

96complexity involved in fission-fusion and more stable social systems will

97provide new insights into human social evolution (Filippo Aureli et al.,

982008; Foley & Gamble, 2009).

99 Specific objectives

100 Social systems vary in the degree of temporal and spatial stability

101shown in group size and composition. Fission-fusion social systems have

102subunits (known as parties or subgroups) that change in size by means of

103the fission and fusion according to both the activity (e.g. resting, feeding)

104and distribution of resources (F. Aureli et al., 2008). Thus fission-fusion

105dynamic refers to the extent of variation in spatial cohesion and

106individual membership in a group over time. Gorilla groups have a low

107degree of fission-fusion dynamics in that the membership of the group is

108stable temporally and spatially, and thus all individuals will typically

109encounter every member of the group every day (D. M. Doran &

110McNeilage, 1998; Robbins & Robbins, 2018). The majority of gorilla

111groups consist of one adult male (although up to four males may be

112present in a group) and a number of unrelated females, plus juveniles

113and infants. The mean group size is 9, with a range of 2 to 34. The groups

114are cohesive, with the strongest bonds between the adult females and the

115silverback. Gorillas are folivores, and because they rely on an abundant,

116easily available food resource, there is little competition between groups

117and home ranges are typically small, between 3 and 15 km2(D.M. Doran &

118McNeilage, 2001; Robbins & Robbins, 2018).

6 119 In contrast chimpanzee groups have a high degree of fission-fusion

120dynamics (Goodall, 1986; Lehmann & Boesch, 2004). Individuals form

121socially and geographically circumscribed communities, within which

122they associate in temporary subgroups (‘parties’) that vary in size,

123composition and duration. The community size can range from 20-150,

124and the community as a whole is rarely seen together in one place

125(Goodall, 1986; Lehmann & Boesch, 2004; Reynolds, 2005a).

126Chimpanzees are frugivores and communities defend a communal home

127range, which is typically much larger than that of gorillas, ranging from

1285-35 km2. Individuals in the wider community may thus only see each

129other at infrequent intervals, often weeks apart, but each individual can

130recognise members of their own community and is capable of

131maintaining long-term relationships with these individuals (Goodall,

1321986; Reynolds, 2005b).

133 Thus chimpanzees (frugivores with a fluid fission-fusion system)

134and gorillas (folivores with stable, cohesive groups) are at opposite ends

135of a continuum of ape dietary and social patterns. A review of gorilla and

136chimpanzee sociality therefore offers an ideal opportunity to examine

137both how the patterns of association between individuals changes with

138increasing group size, and how the underlying social structure affects

139these changes in patterns of association. Increasing group size in a

140gorilla group will result in individuals simply encountering more

141individuals each day, whereas increasing community size in the

142chimpanzee will result in the chimpanzee having to keep track of more

143indirect relationships with whom interaction may be infrequent. How

7 144gorillas and chimpanzees adjust their social strategies and patterns of

145association in groups of differing sizes is thus informative of the key

146cognitive and time-budget pressures involved in sociality (Aureli &

147Schino, 2019; Freeberg, Dunbar, & Ord, 2012).

148 As well as furthering our understanding of primate sociality,

149understanding the social structure of systems with varying degrees of

150fission-fusion dynamics is of crucial importance for understanding the

151course of human social evolution (Foley & Gamble, 2009). Fission-fusion

152dynamics characterise chimpanzee and , and also are typical of

153modern-day hunter-gatherers. This suggests that fission-fusion dynamics

154were characteristic of the social system of the last common ancestor of

155chimpanzees, bonobos and modern humans (F. Aureli et al., 2008; Foley

156& Gamble, 2009). Further, a general trend in the course of human

157evolution is an increase in brain size, and this is likely to have been

158accompanied by a corresponding increase in social group size (L. C.

159Aiello & R. I. M. Dunbar, 1993). Thus understanding the complexity

160involved in fission-fusion systems, as compared to more stable social

161groups, and how this complexity changes in groups of different sizes, will

162help us understand the processes involved in social evolution in our

163hominin ancestors (R. Dunbar, Gamble, & Gowlett, 2014; Foley &

164Gamble, 2009).

165Social networks and group size in gorillas

166Within primates, large groups are assumed to be more socially complex

167than small groups, as there are more relationships to track, and

8 168individuals must spend an increasing amount of their time servicing their

169social relationships in order to enable large groups to function as stable,

170functional cohesive units (R. I. Dunbar & Shultz, 2007; Manninen et al.,

1712017). However, there is currently no standard way to compare social

172complexity across groups of different sizes, and we have little

173understanding of how the patterning of social relationships changes with

174increasing group size (R. I. Dunbar & Shultz, 2010). Gorilla groups vary

175greatly in size, with a range of 2-43 (D.M. Doran & McNeilage, 2001;

176Robbins & Robbins, 2018). Future research could collect data on a

177number of behavioural interactions (e.g. grooming, vocalisations,

178gestures, proximity, visual attention) in small, medium and large groups

179of gorillas and carry out three main sets of network analyses. First,

180features of the overall network structure (e.g. connectedness, density)

181and the extent to which there are sub-structures within the overall

182network should be examined in the three groups. Thus larger groups of

183gorillas, especially those with more than one adult male, may be more

184likely to contain sub-groups. Network analysis is an ideal way of

185statistically identifying and characterizing such sub-groups, which are

186defined as nodes that are more densely connected to themselves than

187they are to other nodes in the network (Croft, James, & Krause, 2008).

188Second, the extent to which the networks based on the different types of

189behavioural interactions overlap may be explored. There is a limit on the

190time available for grooming, so as group size increases, we predict that

191there will be an increasing dissociation between networks based on

192grooming and networks based on vocal and gestural communication, as

9 193gorillas use communication rather than grooming to maintain their

194relationships. Third, use of network analysis would identify how age, sex

195and dominance rank affect the patterning of social relationships, and the

196roles that different individuals play in the group as a whole. Adult social

197bonds in gorilla groups are strongest between females and silverbacks,

198with the females in the group associating less regularly with each other

199(D.M. Doran & McNeilage, 2001; Robbins & Robbins, 2018). Network

200analysis allows precise quantification and statistical analysis of sex

201differences in the network characteristics and position of adult females

202and males. This type of data will lead to a comprehensive, quantitative

203understanding of the network structure of gorillas groups, how gorillas

204use different modes of interaction to manage their social relationships,

205the different roles the sexes play in gorilla groups and how this changes

206with increasing group size.

207Social networks and group size in chimpanzees

208Chimpanzees live in a fission-fusion society, where individuals form

209socially and geographically circumscribed communities, within which

210they associate in temporary subgroups (parties) that vary in size,

211composition and duration (Lehmann & Boesch, 2004; Mitani, Watts, &

212Muller, 2002). Because of this dynamic and fluid social structure,

213discerning regularities in grouping, dispersal, range use and associations

214is more challenging for chimpanzees than for primates that live in

215temporally and spatially stable groups such as gorillas (Aureli & Schino,

2162019). Thus the internal structuring of chimpanzee communities, how

10 217this varies with group size and variations in sex differences in association

218patterns are all still poorly understood. Network analysis offers a

219powerful set of tools for characterising and analyzing individual

220associations within a population-level social context, and is particularly

221valuable in characterising complex fission-fusion social systems (Sueur et

222al., 2011). Chimpanzee community size can range from 20-150 (Lehmann

223& Boesch, 2004), and it would be valuable to explore how social networks

224vary in small, medium and large communities of chimpanzees. Particular

225attention may be given to identifying sub-structures within the wider

226community of chimpanzees, as it is possible that the very large

227communities of chimpanzees in fact consist of a number of sub-

228communities only loosely linked together. This has important implications

229for determining how many relationships an individual chimpanzee has to

230keep track of, and thus how cognitive complexity increases as group size

231increases (Aureli & Schino, 2019). As with gorillas, how the position and

232network characteristics of individual vary by age, sex and dominance

233rank may be explored. Traditionally, male chimpanzees have been seen

234as more gregarious than females, forming strong bonds with other males

235and distribute their activities more widely over their territories than

236females (Mitani et al., 2002). Females, in contrast are often portrayed as

237less sociable, and spending most of their time with their own offspring,

238except when they are in oestrus. However, there is considerable variation

239in the extent of the sex differences in sociality in different populations of

240chimpanzees (Lehmann & Boesch, 2008). By exploring the extent to

241which position and network characteristics vary by sex, this can precisely

11 242identify the different roles male and female chimpanzees play in the

243wider community, the extent of variation between individuals in these

244characteristics, and how this varies with group size. This would provide

245new network methods to analyse chimpanzees’ complex sociality, and

246provide new insights into the cognitive challenges imposed by living in a

247fission-fusion system.

248Comparison of social networks in gorillas and chimpanzees

249Chimpanzees and gorillas are among our closest living relatives, and they

250exhibit remarkable diversity in various aspects of their social

251organisation both within and between species. Gorillas are folivores and

252their groups exhibit a low degree of fission-fusion dynamics in the

253membership of the group is stable temporally and spatially. In contrast

254chimpanzees are frugivores with a high degree of fission-fusion

255dynamics. Thus a comparison of social structure in chimpanzees and

256gorillas provides an ideal opportunity to explore the implications of

257increasing group size for increased levels of social complexity, and how

258this is affected by the social organisation of the species. This would

259provide important insights into the nature and evolution of primate

260sociality. Comparisons between the two species can be made of the

261nature of the networks themselves, the extent to which the networks

262based on the different types of behavioural interactions overlap, the

263extent to which the groups or communities are based on a number of

264distinct sub-groups, and how the position and network characteristics of

265individuals vary by age, sex and dominance rank. Due to the differences

12 266in social organisation, an increase in group size in gorillas results in them

267interacting with more individuals on a daily basis, whereas an increase in

268group size in chimpanzees results in them having to manage more

269indirect relationships with individuals they may only see occasionally.

270Tracking these indirect relationships is hypothesised to be cognitively

271demanding, as in fission-fusion systems individuals must be able to retain

272and manipulate information about others whom they see only

273infrequently, as compared to systems with groups that are stable

274spatially and temporally where members see each other every day (Aureli

275& Schino, 2019; Barrett, Henzi, & Dunbar, 2003). By comparing two

276social networks in species with different forms of social organisation, and

277how these networks vary with group size, the cognitive demands of living

278in different social systems, and in groups of different sizes, can be

279determined. For example, how frequently do chimpanzees actually

280encounter other members of the community, what sort of interactions do

281they have with these other individuals (grooming, proximity, vocal and

282gestural communication), how does this vary with group size and

283network structure, and how does this compare with gorillas?

284Stress hormones, social networks and group size in chimpanzees

285and gorillas

286A key part of examining social complexity is determining the extent to

287which increases in group size produces social stress for individual

288primates. Sociality can impose stress due to competition for resources

289such as food and mates, and thus living in large groups is predicted to be

13 290more demanding than living in smaller groups. Glucocorticoid (GC) is a

291hormone excreted in response to stress, and although in the short term,

292an increase in GC levels increases energy levels and can trigger

293behaviour which helps primates cope with environmental and social

294challenges, chronic stress can lead to reduced survival, fecundity and

295immunity (David H Abbott et al., 2003). Glucocorticoid levels provide an

296objective way to estimate primates overall physiological well-being in

297different social circumstances, which can be used to complement

298measures based on behavioural data such as social affiliation patterns (D.

299H. Abbott et al., 2003). One of the primary mechanisms to offset stress,

300both in humans and primates, is social affiliation (Robin I.M. Dunbar,

3012010). GC levels in wild primates are sensitive to stressful events, such

302as the entry of a new male into the group, bringing a risk of infanticide

303(Crockford, Wittig, Whitten, Seyfarth, & Cheney, 2008). Further, female

304baboons with a less diverse grooming network - meaning that they

305focused a greater proportion of their grooming effort on a smaller

306number of social partners - showed a faster decrease in levels of GC after

307the stressful event than females with a more diverse grooming network

308(Wittig et al., 2008).

309This suggests how primates manage their social relationships can have a

310significant effect on their levels of stress, as measured by GC levels.

311However, it is currently not known how GC levels vary with group size in

312chimpanzees or the gorillas, with large groups predicted to be more

313stressful and thus resulting in higher GC levels. Further, individual

314variation in how primates adjust their social strategies in larger groups

14 315may affect their GC levels. For example, some individuals may adjust to

316an increase in group size by increasing their number of grooming

317partners, whereas others may actually reduce their number of grooming

318partners, and focus on their few key allies. Based on previous research

319(Crockford et al., 2008), it may be predicted that the latter strategy

320would be more effective in reducing stress, leading to lower GC levels.

321An important area of future research would be to examine how group

322size (small, medium and large groups of gorillas and chimpanzees), and

323individual variations in the pattern of social relationships, affects GC

324levels. This would give an objective, biological indicator of the social

325stress imposed by living in groups of different sizes, and thus provide

326important insights into the fitness consequences of sociality in primates

327(David H Abbott et al., 2003).

328Repertoire size and group size in chimpanzees and gorillas

329Through hominin evolution there has been an increase in both brain size

330and this is likely to have been accompanied by an increase in group size

331(L.C. Aiello & R.I.M. Dunbar, 1993). Dunbar (1993; R. Dunbar, 2012) has

332argued that the pressure to maintain larger social groups through

333hominin evolution may have driven the evolution of language as a novel

334social bonding mechanism that is more time efficient than grooming.

335Between primate species, it has been shown that evolutionary increases

336in the size of the vocal repertoire in non-human primates were associated

337with increases in both group size and also time spent grooming (McComb

338& Semple, 2005). This suggests that vocal communication may indeed

15 339play a key role in the evolution of social behaviour - larger groups are

340more complex to manage, and thus require a larger repertoire to

341maintain an increasing number of differentiated relationships. However,

342it is increasingly being recognised that gestural communication also

343plays a key role in regulating social behaviour, and the role of gestural

344communication in wild primates in relation to sociality is still unclear

345(Byrne et al., 2017; S. G. B. Roberts & Roberts, 2016). Future research

346could examine how both gestures and vocalisations in chimpanzees and

347gorillas are related to group size. There is currently an active debate as

348to whether human language evolved from vocal or gestural

349communication(M. Corballis, 2009; M. C. Corballis, 2017; McComb &

350Semple, 2005), and how the usage and repertoire size of gestural and

351vocal communication varies with group size will provide important

352insights into this debate.

353Intentionality and socio-ecology in chimpanzees and gorillas

354In intentional communication behaviour of the sender must involve a goal

355and some flexibility in the means for attaining it (Tomasello & Call,

3561997). This may be operationalised in the form of goal persistence,

357means-ends dissociation or sensitivity of the signaller to the recipient’s

358attentional state when emitting acts of communication. While

359intentionality of communication and especially gestures using criteria

360such as signaller’s responses to attentional state of recipients has been

361relatively well established (D. A. Leavens & Hopkins, 1998; D. A.

362Leavens, Hopkins, & Bard, 1996; Liebal, Call, & Tomasello, 2004; Liebal,

16 363Pika, & Tomasello, 2004, 2006; Pika, Liebal, & Tomasello, 2003, 2005),

364communication flexibility in response to social and ecological factors has

365received limited research attention and degree to which individuals can

366take into account socio-ecological conditions when communicating is

367poorly understood. Chimpanzees and gorillas are among our closest

368living relatives (Reynolds, 2005a; Taylor & Goldsmith, 2003) and they

369show important behavioural responses to the effects of social and

370ecological factors in various aspects of their social behaviour (Boesch,

371Hohmann, & Marchant, 2002). To what extent the social and

372environmental constraints will be reflected in flexibility of communication

373in chimpanzees and gorillas is thus of particular interest.

374According to the current studies of communication in primates, flexibility

375in communication may be expressed in a number of behavioural

376characteristics such as influence of the attentional status of an observer

377on the propensity to communicate and goal persistence of a signaler in

378face of apparent communicative failure (Byrne et al., 2017). Research to

379date has thus shown flexibility in use of gestures in relation to various

380behavioural characteristics (Hobaiter & Byrne, 2011; A. I. Roberts &

381Roberts, 2018). However, it seems reasonable to assume that such

382flexibility will also emerge in response to social and ecological factors

383such as food type and availability, habitat characteristics and degree of

384risks that may act directly upon communication. In habitats with low

385transmission properties (e.g. low light intensity, high habitat density,

386high background noise), primates may gesture less frequently or adapt

387communication modality to the transmission properties of habitat (see

17 388e.g. Hoedl & Amezquit, 2001). For instance, with declining light intensity

389and increasing habitat density, the communication may be less effective

390at influencing the recipient and thus primates may gesture less

391frequently or increase effectiveness of signalling by increasing the rate of

392vocalisations, or more intense auditory gestures at expense of less

393intense visual signalling. With increasing intensity of background noise,

394there may be increase in the frequency of visual gestures and/or a

395decrease in the frequency of auditory gesturing.

396Furthermore, where risks of detection and injury are high primates may

397aim to avoid detection by predators or other individuals which would

398pose risk of injury or death by adopting more criptic behaviour (e.g.

399decrease frequency of vocalisations and auditory gestures and/or

400increase rate of tactile and visual gestures) (see e.g. Croes et al., 2006).

401Again, this use would depend on efficiency of communication in eliciting

402behavioural response. Thus, if communication is likely to be

403unsuccessful, primates may defer from trying to avoid detection and

404avoid social interaction altogether. For instance, low ranking

405chimpanzees use auditory gestures when in full view of the dominant

406male to elicit mating from the female. These attempts are often

407unsuccessful and therefore chimpanzees gesture least frequently in these

408contexts. However, when the visual attention of the dominant male is

409directed elsewhere chimpanzees use visual gestures to elicit mating and

410in these contexts they are most likely to elicit mating. Thus, the

411propensity to modify communication to avoid detection in mating

18 412contexts would be contingent upon the assessment of the potential

413success of these types of signalling (A. I. Roberts & Roberts, 2015).

414In addition, degree of risk may also affect communication indirectly by

415influencing sociospatial organisation depending on the contexts (e.g.

416party size and composition, spread, spatial geometry and proximity). For

417instance, research has shown that in areas where risk of mortality or

418injury is high vulnerable individuals may stay in closer proximity to a

419dominant ‘protector’ males, party spread may be reduced and proximity

420between individuals increased (Altmann, 1979; DeVore & Washburn,

4211963; Hockings, Anderson, & Matsuzawa, 2006; Otali & Gilchrist, 2006;

422Reynolds, 1963). Food type, availability and temperature are another

423factor that may influence communication because it can influence the

424surplus of energetic resources that are available to the signaller and that

425may be diverted into socialisation and communication with the partners.

426The combined direct and indirect influences of socio-environmental

427conditions influence the number and type of viable signal recipients,

428which may be reflected in the type and frequency of communication used

429by a signaller. For instance, with increasing number of potential

430recipients in close proximity and in mutual visual contact with the

431signaller there would be increase in total frequency of communication

432used by signallers such as intention movements. Alternatively, when

433proximity or mutual visual contact between signaller and recipient is low,

434absence of reliable signal recipients may be associated with a reduction

435in communication and especially visual gestures and a corresponding

436increase in attention getters such as auditory or tactile gestures and

19 437vocalizations. Thus, when spatial cohesion is high or low one may see

438effects on choice of communication.

439Furthermore, relatively little is known about flexibility in contextual

440usage of communicative behaviours and the existing studies examined

441usage of communication in subadult individuals (see e.g. Liebal, Call, et

442al., 2004; Plooij, 1978, 1979). However, it is important to examine

443communication use by adult primates because observed flexibility in use

444of communication in subadult subjects may be a product of ontogenetic

445processes. For instance, in the vocal domain young individuals

446overgeneralise eliciting stimuli and only later they learn to produce

447vocalisations in appropriate contexts (Fischer, Cheney, & Seyfarth, 2000;

448Fischer, Hammerschmidt, Cheney, & Seyfarth, 2002). Contextual usage

449may be influenced by social factors by influencing specificity of

450communication required to effectively manage social relationships. For

451instance, in smaller groups or parties primates may use low intensity

452communication of which meaning may be determined from context. On

453the other hand, in larger groups or parties, use of more intense and

454specific signalling may be more effective without the need to use context

455to infer meaning of signalling. Examining flexibility in communication use

456in relation to social factors can thus provide important insights into the

457function of signals and its communicative properties. However, to date,

458this possible relationship between social and ecological factors and

459flexibility of communication has not been examined.

460Group size and culture in chimpanzees and gorillas

20 461It is assumed that larger groups are related to greater rates of cultural

462diversity than smaller groups (Powell, Shennan, & Thomas, 2009). With

463more individuals, there is more opportunity for innovation and through

464social learning this can spread through the group, giving rise to

465population level differences in behavior occurrence or morphology (A.

466Whiten et al., 1999; Andrew Whiten, 2017). Moreover, in larger groups

467there is greater competition for food and resources and this may lead to

468greater pressure for innovation, as compared to smaller groups in which

469there is less competition. Within primates, cultural differences are well

470established and include the grooming hand-clasp, which is variable both

471in occurrence and morphology across sites (McGrew, Marchant,

472Nakamura, & Nishida, 2001; McGrew & Tutin, 1978; Van Leeuwen, Cronin,

473Haun, Mundry, & Bodamer, 2012). However, previous research mostly

474considered single behavior patterns and so far none of the research has

475systematically examined cultural differences in both the occurrence and

476morphology of communicative behavior in the wild (A. Whiten et al.,

4771999; Andrew Whiten, 2017). Hence, how group size affects rates of

478innovation and communication diversity has not been explored. It is

479therefore important to describe and compare the communication

480diversity across the groups of gorillas and the chimpanzees which are

481genetically and ecologically homogenous but live in groups of different

482size.

483Social network analysis

21 484 Social network analyses is now established as key tool in

485behavioural analysis (Farine & Whitehead, 2015; Krause et al., 2009;

486Sueur et al., 2011). Social network analysis is important because it can

487take a number of different types of behavioural interactions e.g.

488grooming, vocalisations, gestures, proximity, body contact, visual

489attention, participation in coalitions, food sharing, social play and

490boundary patrols and directly compare them across dyads (Sueur et al.,

4912011). The network analyses may be based on weighted, directed ties.

492The network is weighted in that the tie between two individuals, A and B,

493will be given a numerical value based on the rate or frequency of the

494behaviour. The network is directed in that the value of the tie from A to B

495may be different from that from B to A if there is inequality in the

496relationships (e.g. A grooms B more than B grooms A). If no interaction is

497observed in a particular category of interaction between a particular pair

498of individuals, the tie between those individuals will be scored as zero

499and undirected.

500 Once the value of the ties for all individuals in the network is

501known, different networks may be constructed for the different

502behavioural interactions listed above. The data analysis may then

503proceed through six steps for each of these networks (Krause, Croft, &

504James, 2007). First, the information on social interactions may be

505organised into a matrix for data analysis, where the rows and columns

506represent individuals, and the values within the matrix represent the

507frequency of behavioural interaction. Second, the networks may be

508constructed and visualised. Algorithms such as ‘spring embedding’ may

22 509be used to arrange the network based on the closeness of interactions

510between individuals, and thus reveal interesting network structural

511features. Arrows may be used to represent the directionality of social

512interactions, and thickness used to represent the weight of the tie.

513Attribute data (e.g. sex of individual) may also be incorporated into the

514network diagram. These diagrams can be a valuable way of seeing

515patterns in the networks, before proceeding onto the third step which is

516performing detailed network analysis (Sueur et al., 2011).

517 Network analysis provides a wealth of quantitative metrics that

518may be calculated to describe the social structure across different scales

519of organisation, from the individual to the population (Sueur et al., 2011).

520‘Node-based’ measures may be used to examine the properties of how

521individual nodes are connected to each other in a network. Although

522many of these measures are based on binary networks, there are

523measures available for weighted and directed networks, (reviewed by

524Boccaletti, Latora, Moreno, Chavez, & Hwang, 2006). To give just two

525examples, node strength measures the total weight of all the ties

526connected to a node, and is thus the weighted equivalent of the binary

527measure node degree (the number of ties joined to a particular node). A

528weighted clustering coefficient may also be calculated, which measures

529the cliquishness of a network - the extent to which a nodes immediate

530neighbours that are themselves neighbours. These measures may be

531averaged over the network as a whole and be used to describe social

532organisation at the level of the group. The fourth step is to interpret

533these network measures, and the networks generated may be compared

23 534to randomized networks that provide a null model with which to test

535whether the observed network patterns are different from those expected

536by chance. For example, is the level of clustering observed in the

537network different from that which would be expected by chance?

538Weighted networks require different randomisation techniques than

539binary networks (Lusseau, Whitehead, & Gero, 2008), and these type of

540methods may be used to examine if the observed networks are

541significantly different from chance.

542 Fifth, the network data may be used to look for non-random

543patterns of association between individuals. A ‘community’ in a network

544is defined as a set of nodes that are more densely connected amongst

545themselves than they are to the rest of the network (Croft et al., 2008).

546Relating the communities found in networks to known individual

547characteristics, group characteristics or ecological variables can lead to

548a better understanding of the interplay between biological, ecological

549and other factors and the observed patterns of social interaction. These

550sub-structures would be difficult to detect using traditional dyad-based or

551population methods, especially in fluid fission-fusion systems such as

552those found in chimpanzees. Further, if a key property (e.g. node

553strength) varies significantly between communities, it is misleading to

554present a mean or medium value of that property over the whole

555population, as this ignores the internal structure of that population. Thus

556a key advance would be to identify these sub-structures within the

557groups of chimpanzees and gorillas, and examine how the number and

558properties of these sub-structures change with increasing group size.

24 559Again, although many of the statistical techniques used to detect

560communities in networks are based on binary networks, there are a small

561number of recently developed methods to detect communities in

562weighted networks and these types of methods may be used for

563community detection.

564 Finally, after quantifying the network and searching for sub-

565structures, the crucial step it to compare the observed network to other

566network. This may be done at three levels. First, networks based on the

567different behavioural interactions may be compared, to test the extent to

568which there is dissociation between, for example, the network based on

569the grooming data and the network based on the gesture data. Second,

570networks between the three different size groups within species may be

571compared, to explore how group size effects network structure within

572gorillas and chimpanzees. Finally, the networks may be compared

573between species, to explore the extent to which the differences in social

574organisation (fission-fusion vs. stable groups) and other differences

575between the species (e.g. in diet, in absolute group size) affect network

576structure. Comparing networks based on the same individuals is the most

577straightforward type of comparison, as the network has the same number

578of nodes and there are well-established statistical techniques for

579comparing these types of networks (Hemelrijk, 1990). Comparing

580networks of different individuals is more problematic, as most network

581measures vary with the number of nodes and ties in the network. The

582majority of the methods developed to compare these types of networks

583are for binary, undirected networks. Methods for comparing weighted,

25 584directed networks are starting to be developed (Li, Zhang, Wang, Zhang,

585& Chen, 2007), and a key part of future research will to be use these

586methods to compare weighted, directed networks. As many networks in

587both biological and social sciences are weighted and directed (even if

588they are often analysed as if they were binary) the set of results in

589respect to characterising, analyzing and comparing weighted, directed

590networks would have wide applicability across a range of disciplines.

591Conclusions

592 A particularly challenging and unconventional aspect of the study

593of primate sociality lies in its use of social network analysis and in

594particular, use of weighted and directed ties to characterise the

595relationships between individuals. In weighted, directed networks a

596numerical value which reflects the strength of the tie, and there is the

597possibility of asymmetry in the ties. In contrast, the great majority of

598network analysis, in social sciences, biological sciences and mathematics,

599considers only binary networks, where the tie between two nodes is

600classified as present (1) or absent (0). This is appropriate for certain

601types of physical or mathematical networks and is often used as a

602simplifying assumption in the study of social networks. However,

603characterising a tie between two individuals in a binary fashion does not

604provide a rich insight into complex social relationships. Although it is

605clear when two animals are linked, in a binary network the difference

606between ties categorised by 1 is lost, and due to sampling issues it is

607rarely certain that two animals in a population are not linked, and thus

608the reliability of ties classed as 0 is often questionable. This severely

26 609limits the usefulness of network analysis in understanding social

610networks, where the weight and direction of the tie is a major component

611of the characterising the interaction between two individuals. Because

612analysing binary networks is more straightforward than analysing

613weighted networks, current approaches in social networks often use a

614cut-off value to transform weighted ties into binary ties. This is an

615unsatisfactory solution, as the cut-off is an arbitrary value, and where it

616is set can affect the resulting network structure (Lusseau et al., 2008).

617Whilst there has been some initial work on weighted, directed networks,

618the work is still in its infancy. If network analysis is to fulfil its potential

619in the study of social systems, it is necessary describe and compare

620weighted networks, so the nature of the tie between two individuals can

621be characterised more precisely.

622 This use of weighted ties is challenging, as techniques of analysing

623- and in particular comparing - weighted networks are less well

624established than those using binary networks, and work on weighted

625social networks in animals is in its infancy. However, the use of weighted

626networks, and the comparison between weighted networks of different

627sizes and in different species, has the potential to open up a major new

628field of research in network analysis, representing a major advance on

629the current reliance on binary network analysis. Given the inter-

630disciplinary nature of network analysis, this is likely to have wide

631applicability in many different fields of research, reaching across the

632mathematical, biological and social sciences.

27 633 Improving our understanding of primate social complexity is likely

634to lead to new insights into human evolution. Although much progress

635has been made in assessing the archaeological record, our understanding

636of hominin social life is in its infancy (R. Dunbar et al., 2014; Foley &

637Gamble, 2009). Gorillas and chimpanzees are two of our closest living

638ancestors, and as such an improved understanding of the forces

639governing their sociality will provide valuable insights into human social

640evolution. In particular, fission-fusion dynamics characterise chimpanzee

641and bonobos (Furuichi, 2009), and also are typical of modern-day hunter-

642gatherer (Filippo Aureli et al., 2008; Marlowe, 2005). This suggests that

643fission-fusion dynamics were characteristic of the social system of the

644last common ancestor of chimpanzees, bonobos and modern humans (F.

645Aureli et al., 2008; Foley & Gamble, 2009). Further, a general trend in

646the course of human evolution is an increase in brain size, and this is

647likely to have been accompanied by a corresponding increase in social

648group size (L.C. Aiello & R.I.M. Dunbar, 1993). A comparison of gorillas

649and chimpanzees offers the opportunity to explore the complexity

650involved in fission-fusion systems, as compared to more stable social

651groups, and how this complexity changes in groups of different sizes.

652This will help us understand how the social structure is likely to have

653changed with increasing group size in the fission-fusion system of early

654hominins, and the cognitive complexity involved in managing groups of

655increasing size (Aureli & Schino, 2019; Freeberg et al., 2012).

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