From quantitative to qualitative and back again. The interplay between structure and culture and...
Transcript of From quantitative to qualitative and back again. The interplay between structure and culture and...
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Johannes Preiser-Kapeller*
From quantitative to qualitative and back again. The interplay between structure and culture
and the analysis of networks in pre-modern societies
Pre-Print, to be published in: E. MITSIOU – M. POPOVIĆ – J. PREISER-KAPELLER (eds.), Multiplying Middle
Ages. New methods and approaches for the study of the multiplicity of the Middle Ages in a global perspective
(3rd
–16th
CE). Proceedings of the Conference in Vienna in November 2012. Vienna 2014 (forthcoming).
“Most cultural theorists saw network analysis as located squarely in the positivist camp, reducing
cultural richness to 1s and 0s and lacking attention to processes of interpretation and meaning-
construction.”; thus Ann Mische in 2011 summed up attitudes towards network analysis which are still
strong also in many circles of historical studies.1 Of course, these verdicts were not entirely
unfounded, as Mustafa Emirbayer and Jeff Goodwin pointed out in 1994 in their influential paper on
„Network Analysis, Culture, and the Problem of Agency“: “despite its powerful conceptualization of
social structure, network analysis as it has been developed to date has inadequately theorized the
causal role of ideals, beliefs, and values, and of the actors that strive to realize them; as a result, it has
neglected the cultural and symbolic moment in the very determination of social action.”2 Although
meanwhile various theoretical concepts and models of “relational sociology” have been developed3,
the cultural dimension is still underrepresented in many works of quantitatively oriented social and
also historical network analysis. In this paper, I will present the explanatory value of some of these
relational approaches to social reality for historical research and their combination with quantitative
network analysis. For various case studies, the actual interplay between the structural and the cultural
dimension of social, religious, economic, political or intellectual linkages between individuals, groups,
communities, but also cultural concepts will be demonstrated.4
Firstly, I want to demonstrate that basic decisions on the selection of nodes and the definition of ties in
(historical) quantitative networks models are always based on explicit or implicit considerations of the
qualitative aspects of these elements. For the decision on which nodes to include into a network, for
instance, E. Laumann, P. Marsden und D. Prensky in 1983 identified three basic approaches: a
position-based approach, including individuals in the network who are members of a specific
organisation or group or holding a specific position (also called the “nominalist approach”); an event-
based approach, including all those who had taken part in one or more specific events; and a relation-
based approach, starting from a “small set of nodes” connected through specific types of relations and
then including more and more actors also connected to the nodes in the original set (also called the
“snowball approach”).5 For historical network analysis, I would add a “Wolfgang Reinhard”-approach.
Wolfgang Reinhard, a pioneer of historical network analysis in Germany, wrote in his essential work
on “Freunde und Kreaturen” in 1979: “For where the social scientist is almost overwhelmed by the
amount of data of the totality of a "network" or even a fairly large section of the same and laboriously
has to select data, for the historian the selection is made by history itself, always biased, but quite
useful, as long as we ask for leadership groups. Not only that the sources have generally selected
relationships between upper-class families, certain types of relationships are preferred. (...) This
*Institut für Mittelalterforschung, Abteilung für Byzanzforschung, ÖAW; Email: [email protected]. 1 A. MISCHE, Relational sociology, culture, and agency, in: J. SCOTT – P. CARRINGTON (eds.), The SAGE Handbook of Social
Network Analysis. Los Angeles – London et. al. 2011, 80–97, here 81. 2 M. EMIRBAYER – J. GOODWIN, Network Analysis, Culture, and the Problem of Agency. American Journal of Sociology 99/6
(1994) 1411–1454, here 1446. 3 Cf. for instance H. C. WHITE, Identity and Control. How Social Formations emerge. Princeton – Oxford ²2008, or J. FUHSE
– S. MÜTZEL (eds.), Relationale Soziologie. Zur kulturellen Wende der Netzwerkforschung. Wiesbaden 2010. 4 Cf. also J. PREISER-KAPELLER, Luhmann in Byzantium. A systems theory approach for historical network analysis. Working
Paper for the International Conference “The Connected Past: people, networks and complexity in archaeology and history”,
Southampton, April 24-25th 2012, and IDEM, Visualising Communities. Möglichkeiten der Netzwerkanalyse und der
relationalen Soziologie für die Erfassung und Analyse mittelalterlicher Gemeinschaften. Working Paper for the SFB “Visions
of Community”, Vienna 2012 (both papers online: http://oeaw.academia.edu/JohannesPreiserKapeller/Papers). 5 E. LAUMANN – P. MARSDEN – D. PRENSKY, The boundary specification problem in network analysis, in: R. S. BURT – M. J.
MINOR (eds.), Applied Network Analysis. Beverly Hills, CA, 1983, 18–34.
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selection provided in the sources is based on certain rules, for which the values and norms of that
historical society from which the sources come from are of major importance.”6 There is a very
pragmatic aspect of this statement: the existing stock of sources defines the boundaries of the network
– and what is beyond the scope of preserved sources can also not be included into the network. But at
the same time already Reinhard hinted at the relevance of the “values and norms” of the respective
society for the “selection” and description of actors as well as relations. Thus, Reinhard in 1979
applied his approach also to the various “types of relations” one could identify in the sources. More
than 20 years later, he developed a more elaborate categorisation of social relationships in his book
“Lebensformen Europas” (2006). Reinhard identified on the one hand “potential group solidarities” or
“dormant relations”, which he further divided in “ascribed forms of relationships”, which are
attributed to a dyad of individuals “congenitally” (this would be consanguinity or origin from the same
region or ethnic group), and in relationships acquired through and in acts of interaction or
communication, such as artificial or spiritual kinship, godparent-hood, relationship by marriage,
membership in an organisation or patronage-clientele relationship. On the other hand, he identified
“actual interactions” or “active relations” such as friendship, flows of resources or information in a
patronage-clientele relationship or nepotism.7 Of course, there exist feedback mechanism between
actual interactions and the emergence of “dormant relations”; through marriage kinship is established
which may in turn provide basis for the exchange of resources, etc.
Along similar lines, Clair Lemercier in 2012 indicated necessary differentiations between categories of
various qualitative and also quantitative character: “Aggregating all sorts of ties under general words
such as “bound” or "relationship" in order to get a more complex picture, superficially looking more
interesting, only leads to impoverish possible interpretations. On the contrary, any network study –
and it is in fact also true for the most qualitative ones – should begin with a careful definition of the
tie(s) to be studied, especially taking into account three dimensions that have sadly, up to now, been
scarcely discussed in the network literature and about which historians should have something to say:
the difference between interaction and potential for interaction; the awareness of relational patterns
among the actors; and the temporality of ties. It would often be useful, in order to produce more
meaningful interpretations of “network effects”, to better distinguish between two senses of the words
“tie”, “link” or “relationship”, referring either to an actually observed interaction at a given moment
(e.g. a sale of land) or to potential for exchange (e.g. being akin). Potential for exchange can of
course itself have been created by previous exchanges of the same type (as in the case of matrimonial
relinking), of another type (a kinship tie making an economic association easier), or by a pure
similarity (e.g. of religion) or a shared past experience (alumni, members of the same large
association).”8
Finally, the most elaborate categorisation of network ties has been developed by R. H. Atkin already
in 1974/1977 and also used by St. P. M. Borgatti et al. in 20099: they differentiate between the
“backcloth”, which provides the underlying infrastructure that enables and constrains the “traffic” and
“traffic, which consists of what flows through the network such as information” or resources. They
establish four categories of “dyadic phenomena” (see also fig. 1):
* Similarities: two nodes share attributes such as demographic characteristics, behaviours, attitudes,
beliefs, locations or group memberships; this “increases the probabilities of certain relations and
dyadic events”. 10
* Social relations, under which are subsumed “commonly defined role-based relations” such as
kinship relations or friendship and “ties of affection” (“liking”, “disliking”, “love”) or of “cognitive
awareness” (“knowing”). As Borgatti points out: “We use the term role-based because these relations
are usually institutionalized into rights and obligations, and are linguistically identified as, for
6 W. REINHARD, Freunde und Kreaturen. "Verflechtung" als Konzept zur Erforschung historischer Führungsgruppen.
Römische Oligarchie um 1600. Munich 1979, here 34–35. 7 W. REINHARD, Lebensformen Europas. Eine historische Kulturanthropologie. Munich 2006, 272–273; P. HERTNER, Das
Netzwerkkonzept in der historischen Forschung. Ein kurzer Überblick, in: M. BOMMES – V. TACKE (eds.), Netzwerke in der
funktional differenzierten Gesellschaft. Wiesbaden 2011, 67–88, here 74–75. 8 Cl. LEMERCIER, Formale Methoden der Netzwerkanalyse in den Geschichtswissenschaften: Warum und Wie?, in: A.
MÜLLER – W. NEURATH (eds.), Historische Netzwerkanalysen (Österreichische Zeitschrift für Geschichtswissenschaften
23/1). Innsbruck – Vienna – Bozen 2012, 16–41, here 26–27. 9 St. P. M. BORGATTI – V. LOPEZ-KIDWELL, Network Theory, in: J. SCOTT – P. J. CARRINGTON (eds.), The SAGE Handbook of
Social Network Analysis. Los Angeles – London et. al. 2011, 44–45. 10 BORGATTI – LOPEZ-KIDWELL, Network Theory 44.
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example, friend, boss, or uncle. (…) Another characteristic of role-based relations is that they are in a
weak sense public and objective – a researcher can ask a third party whether two people are friends
or have a teacher/student relationship.”11
* Interactions: these are “behaviour-based ties” in the context of social relations, such as day to day
interaction; as Borgatti writes, these are “discrete and separate events that may occur frequently but
then stop, such as talking with, fighting with, or having lunch with”
* Flows: these are relation-based exchanges or transfers of resources, information or influence
between nodes.
Again, as Borgatti points out, there is the assumption of a feedback between the various categories of
ties: “In Atkin´s view, the four dyadic phenomena all serve as backcloth for the phenomena to their
right [for the sequence of dyadic phenomena, cf. fig. 1]. Hence, physical proximity can facilitate the
development of certain relationships, and certain relationships permit certain interactions; these in
turn provide the vehicle for transmissions or flows. However, it is also clear that phenomena on the
right can transform the phenomena on the left, so that people with certain relationships tend to move
closer together, and certain interactions can change or institutionalize relationships.”12
Thus, although neither Reinhard was referring to Atkins nor Lemercier to Reinhard, we observe a
certain consensus for the qualitative differentiation between phenomena which provide the potential
and “infrastructure” for actual interaction (as does a transport system of roads and railways), and
actual interactions and flows of resources or information (the actual “traffic”), whose direction and
intensity may be directed by the “infrastructure” of existing similarities or role-based relations, but
which also in turn contribute to the re-production or modification of potentials of interaction in a
dynamic way (see fig. 2).13
In addition, one should take into consideration the practical advice of
Lemercier with regard to the duration of relations and the frequency or intensity of interactions as
derived from the sources in order to include or exclude them from a specific network or a specific
period of time; does the one-time exchange of a polite letter qualify for the inclusion into a network
mapping intimate ties of friendship?
This qualitative categorisation of network ties also hints at mechanisms for the explanation of the
emergence and dynamics of networks. Similarities do not only facilitate the establishment of actual
social relations between individuals (the concept of “social homophily”), but, as Granovetter has
highlighted already in 1973, people also tend to have “stronger ties [in the sense of frequency of
interaction and emotional intensity, JPK] with people who are similar to themselves”; thus, qualitative
characteristics should also influence the structure and density of ties in a network.14
Another
framework in which qualitative criteria influence network structure has been introduced by Robert
Gramsch with the theory of balanced triads developed by Heider et. al. in the present volume.15
As an actual example for the explanatory value of these concepts I use two networks of noble families
I created on the basis of sources from 14th century Venetian Crete.
16 441 documents from the Venetian
Cadastre for the region of Chania in the West of the island (see fig. 3) for the period between 1314
and 1396 provide information on the property and transfer of feuda among the 165 noble families of
the area; these families could be qualitatively differentiated according to their “Venetian” respectively
“Italian” (121 families) or “Greek” origin (44 families) (see fig. 7).17
To make a long story short: for
11 BORGATTI – LOPEZ-KIDWELL, Network Theory 44. 12 BORGATTI – LOPEZ-KIDWELL, Network Theory 45. 13 Cf. also A. MARIN – B. WELLMANN, Social Network Analysis: an introduction, in: J. SCOTT – P. J. CARRINGTON (eds.), The
SAGE Handbook of Social Network Analysis. Los Angeles – London et. al. 2011, 18. 14 M. GRANOVETTER, The Strength of Weak Ties. American Journal of Sociology 78 (1973) 1360–1380. 15 See also R. GRAMSCH, Das Reich als Netzwerk der Fürsten. Politische Strukturen unter dem Doppelkönigtum Friedrichs II.
und Heinrichs (VII.) 1225–1235 (Mittelalter-Forschungen 40). Ostfildern 2013, esp. 34–52. Cf. also M. HENNIG – St. KOHL,
Fundierung der Netzwerkperspektive durch die Habitus und Feldtheorie von Pierre Bourdieu, in: M. HENNIG – Ch.
STEGBAUER (eds.), Die Integration von Theorie und Methode in der Netzwerkforschung. Wiesbaden 2012, 13–32, for a most
interesting approach to integrate network theory and the theoretical framework of Bourdieu. 16 Cf. S. MCKEE, Uncommon Dominion. Venetian Crete and the Myth of Ethnic Purity. Philadelphia 2000, with further
literature; M. GALINA, Una società coloniale del Trecento. Creta fra Venezia e Bisanzio. Venice 1989. On the rebellion of
1363 cf. also J. JEGERLEHNER, Der Aufstand der kandiotischen Ritterschaft gegen das Mutterland Venedig 1363–1365.
Byzantinische Zeitschrift 12 (1903) 78–125. 17 Ch. GASPARIS, Catasticum Chanee, 1314–1396 (Catastici Feudorum Crete). Athens 2008. Cf. also Ch. GASPARIS,
Catastica Feudorum Crete. Landownership and political changes in Medieval Crete (13th–15th centuries), in: A. D.
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three defined time periods (1314–1348 [the outbreak of the Black Death on Crete]; 1349–1367 [the
end of the Titus-Rebellion against the Venetian colonial regime, which since 1363 had united parts of
the nobilities of both backgrounds]; 1368–1396), I created firstly a neighbourhood network of families
holding property in the same villages (see fig. 4). Within the above-mentioned concept, these ties
constitute similarities or “potentials for relation”, possible pipelines for actual interaction and flows.
Secondly, I created a directed network of transfers of pieces of property between families, including
the exchange of feuda between families because of marriage (as dowry), sale or trade-off (see fig. 6).
In both cases, I used a benchmark for the frequency (transfer) and duration (neighbourhood) of ties. A
comparison of the actual dynamics of network ties very much indicated a feedback mechanisms along
the lines indicated above: geographical neighbourhood very often preceded the establishment of
transfer relations, which in turn brought about the establishment of even stronger or new
neighbourhood ties.
Even more interesting was of course how the broader qualitative differentiation of families along
ethnic (Venetian/Greek) and religious (Latin/Orthodox) markers of identity influenced the structuring
of the networks. According to the concept of homophily, groups differentiated along ethnic or other
markers of identity are linked internally more, they exhibit – quantitatively speaking – internally a
higher network density than in its external connections. Thus qualitative characteristics may influence
the structure of networks, in turn, by making certain relationships more likely than others. The
quantitative analysis of such structural patterns in turn informs us about the actual relevance of, for
example, ethnic differentiation for social life in a more systematic way.18
For the case of the region of
Chania, the significantly higher density of links within the “Venetian families” in our networks as
compared to both the overall network as well as to the network “within the Greek families” here fits
nicely into this general observation (fig. 8 and fig. 9). From a structural and quantitative overall view,
the two ethnic groups still differed from each other to a higher degree than it is suggested by recent,
purely qualitative studies such as the book by Sally McKee, who reflected on selected cases of a more
intensive trans-ethnic interaction.19
Yet at the same time, there is no doubt that emerging “similarities” beyond the ethnic-religious divide
such as geographical proximity and the mutual acknowledge of noble status (which the Greek
aristocrats had eked out in a series or rebellions in the later 13th century) very much contributed to the
establishment of social relations and interactions between Venetian and Greek families, even though to
a lesser degree than within the Venetian aristocracy. If we inspect the density of the networks of
neighbourhood and of transfer between “Venetian“ and “Greek” noble families, we equally observe an
increase (see fig. 10). This increase has also a purely mathematical aspect: the outbreak of the plague
in 1348 very much reduced the number of families documented in our sources (see fig. 7).
Quantitatively speaking, the number of nodes within the network declined from one time period to the
next one; at the same time, the overall number of “inter-ethnic” links between families remained
relatively stable. Thereby, the same number of links is distributed among a smaller number of nodes,
which leads to an increase of the overall density of connections within the network. The quantitative
phenomenon within our model could be connected to a process of “contracting together” of the Cretan
nobility, where “Venetians” and “Greeks” regarded each other as of the (more or less) same status and
therefore as fit for specific forms of “intra-aristocratic” interactions. Again, we can presume the
working of feedback processes (see fig. 11) which lead to an actual accommodation and assimilation
between Venetian and Greek elites in the course of the 14th and 15
th century. This process found a first
culmination in a common rebellion of some of the Venetian and Greek noble families against the
Venetian colonial regime in 1363 (the above-mentioned “Titus rebellion”), which, although ultimately
failing also due to a still very limited resilience of “trans-ethnic” aristocratic cohesion, very much
documents developments reaching their peak in the so-called Venetian Renaissance of the 15th and 16
th
century. Finally, this process of transformation as sketched here on the basis of a connection of
quantitative and qualitative research founds an interesting parallel in the description of the outbreak of
the rebellion of St. Titus (1363) in the eyes of a (hostile) chronicler from the Venetian imperial centre:
BEIHAMMER – M. G. PARANI – CH. D. SCHABEL (eds.), Diplomatics in the Eastern Mediterranean. 1000–1500 (The Medieval
Mediterranean 74). Leiden 2008, 49–61; Ch. GASPARIS, To katasticho ton Chanion. E gaioktesia sto diamerisma ton Chanion
kata ton 14 ai., in: Pepragmena I´dieuthnous Kretologikou Synedriou (Chania, 1–8 Oktobriou 2006), Vol .I. Chania 2010,
61–70; Ch. GASPARIS, E ge kai oi agrotes ste mesaionike Krete, 13os–14os ai. Athens 1997. 18 Cf. also J. FUHSE, Ethnizität, Akkulturation und persönliche Netzwerke von italienischen Migranten. Opladen 2008, 78–80. 19 MCKEE, Uncommon Dominion.
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„And in this time, it so happened that God sent a plague over the earth on account of man´s sins.
Because of the plague, all the old ones who lived on the island died. Gone was love, and faith came to
be lacking in the island. Hence, the youth remained, leaving the path of their elders (…). They broke
with good customs and abandoned sane things, giving themselves over to vice, not recognizing their
evil, like irrational animals, leaving aside their own nature and that of their ancestors to follow the
customs of the Greeks (seguitando li costumi de Greci).“20
Yet, various relational approaches do not consider qualitative and quantitative attributes as separate
entities, but view nodes and their identities, relations and their categorisations and interpretations as
“mutually generative”. In a meshwork of structure and culture, identities are created at the crossing
points of relations and networks emerge: ties create nodes create ties.21
The best-known theoretician of
relational sociology in the English-speaking world is Harrison C. White; for him “networks are
phenomenological realities as well as measurement constructs”.22
White understands social networks
as “socio-cultural formations”. Actors appear not only as embedded in social networks; their
cognitions and behaviours, their identity as an actor and the attribution of action are results of trans-
personal transaction processes in the network. Identities arise from efforts to support and position one-
self (“control”) alone and in interaction with other identities. By the positioning of an identity other
identities aspiring for footing can put themselves in relation to it. The control efforts of an identity
then provide social reality for others, who ascribe meaning to these efforts and thus to the identity. The
control projects of identities thus result in discursive interactions that in turn generate meanings. In
this way identities are linked to each other, but are defined and constructed on the social level only
through and within these links. Meanings are attributed to these links, and meanings form into stories;
these stories in turn construct the identities of actors participating in the respective context.23
In the last years several collections of papers have been published with the purpose of a combination
of Niklas Luhmann´s systems theory and network theory. As for White, in systems theory “persons”
are constructs of communication for the purpose of communication; they only emerge in the process
of communication. A “person”, an “actor”, an “identity” or a “social address” are “an artefact of
attribution, created in communication for communication, a more or less elaborate profile of
characteristics and behaviours, with which the personalised other is identified and provided with in
the communication and with which communication operates as supposition (…) Addresses attain an
individual profile of inclusion and exclusion, which refers back to stories and carriers of participation
in differentiated systemic contexts and anticipates to horizons of relevance for future
communication.”24
“Persons” or “identities” emerge in the process of communication and only gain
profile by their embedding in the web of communications, thereby being created also as point of
contact for further communication and source of actions, motives and intentions. “Thus, a network
consists of interconnected relationships, not of interconnected people.”25
Relationships include a
“history” of episodes of interaction and communication, thereby defining also the horizon of
20 Venice, Biblioteca Marciana Mss. Cl. VII, Cod. 519, fol. 115, A; cited after MCKEE, Uncommon Dominion 239 21 Cf. also B. HOLZER – J. F. K. SCHMIDT, Theorie der Netzwerke oder Netzwerk-Theorie?, in: B. HOLZER – J. F. K. SCHMIDT
(eds.) Theorie der Netzwerke oder Netzwerk-Theorie? (= Soziale Systeme. Zeitschrift für soziologische Theorie Jahrgang 15
[2009], Heft 2). Stuttgart 2009, 227–242, here, 234; St. FUCHS, The Behavior of Cultural Networks, in: B. HOLZER – J. F. K.
SCHMIDT (eds.) Theorie der Netzwerke oder Netzwerk-Theorie? (= Soziale Systeme. Zeitschrift für soziologische Theorie
Jahrgang 15 [2009], Heft 2). Stuttgart 2009, 345–366, here 346. 22 WHITE, Identity and Controll 36; cf. also J. FUHSE, Die kommunikative Konstruktion von Akteuren in Netzwerken, in: B.
HOLZER – J. F. K. SCHMIDT (eds.) Theorie der Netzwerke oder Netzwerk-Theorie? (= Soziale Systeme. Zeitschrift für
soziologische Theorie Jahrgang 15 [2009], Heft 2). Stuttgart 2009, 288–316, here 288; S. MÜTZEL – J. FUHSE, Einleitung: Zur
relationalen Soziologie. Grundgedanken, Entwicklungslinien und transatlantische Brückenschläge, in: J. FUHSE – S. MÜTZEL
(eds.), Relationale Soziologie. Zur kulturellen Wende der Netzwerkforschung. Wiesbaden 2010, 7–36, here 12–13. 23 H. C. WHITE – F. C. GODART, Relational Language: The Example of Changes in Business Talk, in: J. FUHSE – S. MÜTZEL
(eds.), Relationale Soziologie. Zur kulturellen Wende der Netzwerkforschung. Wiesbaden 2010, 273–290. Cf. also MÜTZEL –
FUHSE, Einleitung 14–15; J. FUHSE, Zu einer relationalen Ungleichheitssoziologie, in: J. FUHSE – S. MÜTZEL (eds.),
Relationale Soziologie. Zur kulturellen Wende der Netzwerkforschung. Wiesbaden 2010, 179–206, here 198; cf. also HENNIG
– KOHL, Fundierung der Netzwerkperspektive 20–21. 24 M. BOMMES – V. TACKE, Das Allgemeine und das Besondere des Netzwerkes, in: M. BOMMES – V. TACKE (eds.),
Netzwerke in der funktional differenzierten Gesellschaft. Wiesbaden 2011, 25–50, here 31–32. Cf. also FUHSE, Die
kommunikative Konstruktion 297–298; B. HOLZER – J. FUHSE, Netzwerke aus systemtheoretischer Perspektive, in: Ch.
STEGBAUER – R. HÄUßLING (eds.), Handbuch Netzwerkforschung. Wiesbaden 2010, 313–323, here 314–315. 25 Cf. also HOLZER – SCHMIDT, Theorie der Netzwerke oder Netzwerk-Theorie 238; FUHSE, Die kommunikative Konstruktion
292, 295–297.
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expectation for further interaction and communication. Relationships provide the context and the
relevant social environment in order to classify particular future interaction situation.26
For specific
relationships, specific cultural terms (such as “friendship”) can emerge which in turn influence the
perception of and expectations for a relationship.27
I have elaborated further aspects of this theoretical framework in a presentation at the “Connected
past”-Conference in Southampton in March 201228
, so I refer to this paper and try to exemplify these
concepts again for a relatively simple historical network and its contemporary, medieval interpretation:
for the period between May 1328 and November 1335 we can reconstruct the network of interaction
between the bishops of the Byzantine ecclesiastical province of Russia (fig. 12).29
We observe how the
Metropolitan of Kiev met with the bishops of a given region in order to elect and to ordain a new
hierarch, who in turn joined his brothers at the first opportunity to create another bishop. Structurally,
we recognise the emergence of two regional clusters of episcopal interaction in the Southwest and the
Northeast of the vast Russian province. A new bishop, a new node in the network is established by the
interaction between the bishops. He draws his identity from being embedded in the fabric of
interaction between and after his ordination with his “in the Holy Spirit beloved brothers”, as the
documents say. At the same time, episcopal identities reproduced themselves in joint synodal sessions
and actions. This context of interaction finds a corresponding interpretation in contemporary canon
law and theology: as it is repeatedly emphasized in the documents of the Byzantine church, through
the chain of apostolic succession these webs of election and ordination refer ultimately to Jesus Christ
himself.30
Drawing parallels to concepts of speech act theory, the common words of ordination at the
same time reproduce the existing web of bishops (who are re-affirmed in their “episcopal identity” by
making use of the privilege of ordination) and create a new node, thus co-constructing social reality.31
Such acts of historical communication are only accessible for us via artefacts of communication, such
as sources of historiography, letters, or documents which describe or define a specific act of
interaction or communication.32
In terms of relational sociology, such sources convey elements of
stories of relationships as defined by White.33
The rhetoric of classic epistolography for instance
provides a metaphorical, but not less impressive description of the “co-construction” of relationships
and identities within networks; in a letter to Peter, archbishop of Alexandria, the 4th century
Cappadocian Church Father Basil the Great wrote for instance: “Eyes are promoters of bodily
friendship, and the intimacy engendered through long association strengthens such friendship. But
true love is formed by the gift of the spirit, which brings together objects separated by a wide space
and causes loved ones to know each other, not through the features of the body, but through the
26 FUHSE, Die kommunikative Konstruktion 289, 297. 27 FUHSE, Die kommunikative Konstruktion 302; BOMMES –TACKE, Das Allgemeine und das Besondere 41–43; B. HOLZER,
Von der Beziehung zum System – und zurück? Relationale Soziologie und Systemtheorie, in: J. FUHSE – S. MÜTZEL (eds.),
Relationale Soziologie. Zur kulturellen Wende der Netzwerkforschung. Wiesbaden 2010, 101–102, 112–113. 28 J. PREISER-KAPELLER, Luhmann in Byzantium. A systems theory approach for historical network analysis. Working paper
for the International Conference “The Connected Past: people, networks and complexity in archaeology and history”,
Southampton, April 24th–25th 2012 (online: http://oeaw.academia.edu/J.PreiserKapeller/Papers/). 29 On the sources and background for this network cf. J. PREISER-KAPELLER, Hē tōn pleionōn psēphos. Der
Mehrheitsbeschluss in der Synode von Konstantinopel in spätbyzantinischer Zeit – Normen, Strukturen, Prozesse, in: E.
FLAIG (ed.), Genesis und Dynamiken der Mehrheitsentscheidung (Schriften des Historischen Kollegs. Kolloquien 85),
Munich 2013, 203–227, esp. 221–226. 30 Cf. also J. PREISER-KAPELLER, Der Episkopat im späten Byzanz. Ein Verzeichnis der Metropoliten und Bischöfe des
Patriarchats von Konstantinopel in der Zeit von 1204 bis 1453. Saarbrücken 2008, IX–XIII (in general) and 489–542 (for the
Russian bishoprics); PREISER-KAPELLER, Hē tōn pleionōn psēphos, and in general C. RAPP, Holy Bishops in Late Antiquity.
The Nature of Christian Leadership in an Age of Transition. Berkeley – Los Angeles – London 2005; B. MOULET, Évêques,
pouvoir et société à Byzance (VIIIe-XIe siècle). Territoires, communautés et individus dans la société provincial Byzantine
(Byzantina Sorbonensia 25). Paris 2011. 31 Cf. G. HINDELANG, Einführung in die Sprechakttheorie: Sprechakte, Äußerungsformen, Sprechaktsequenzen: Sprechakte,
Äußerungsformen, Sprechaktsequenzen (Germanistische Arbeitshefte). Berlin – New York 52010. For an application of
speech act theory on a medieval text cf. for instance Ch. GASTGEBER, Jacobus Campora, Bischof von Kaffa. Rede an Kaiser
Friedrich III. und an König Ladislaus Postumus nach der Eroberung Konstantinopels, in: F. N. ARDELEAN – Ch. NICHOLSON –
J. PREISER-KAPELLER (eds.), Between Worlds: The Age of the Jagiellonians (Eastern and Central European Studies 2).
Frankfurt am Main – Berlin et al. 2013, 93–120. 32 P. HERTNER, Das Netzwerkkonzept in der historischen Forschung. Ein kurzer Überblick, in M. BOMMES – V. TACKE (eds.),
Netzwerke in der funktional differenzierten Gesellschaft. Wiesbaden 2011, 67–88, here 69. 33 FUHSE, Die kommunikative Konstruktion 292, 301, 307.
7
peculiarities of the soul. This indeed the favour of the Lord has wrought in our case also, making it
possible for us to see you with the eyes of the soul, to embrace you with the true love and to grow one
with you, as it were, and to enter into a single union with you through communion according to
faith.”34
The most elaborate analysis of rhetorical constructions of identities and relationships in pre-
modern epistolography is without doubt Paul McLean´s magisterial study on “The Art of the
Network” in Renaissance Florence; there he demonstrates on the basis of thousands of letters how
“selves and relations are discursively constructed by patronage seekers”.35
Thus, there existed a large semantic pool for the interpretation and definition of network ties.
However, not every metaphor was appropriate or even permitted for every relationship. In April 1343,
the Synod of the metropolitans in Constantinople was concerned with a letter which one of their peers,
Metropolitan Matthaios of Ephesos, had sent to the Turkish Emir Umur I of Aydın, under whose
sovereignty Ephesos was at this time. The Synod was especially consternated about the way Matthaios
had addressed the Muslim potentate, because he had called Umur “his beloved son and himself the
father” of the Emir. Furthermore, he referred to the clergy in Pyrgion, the capital of Aydın, “as the
priests” of the Emir. The Synod declared: „This he [Matthaios] should not have done. For it befits high
dignitaries of the Church to observe (the appropriate form of address) for such persons and not to use
the same titles similarly for believers and for heathens and infidels. By all means, there must be a
differentiation in the form of address as well as in everything else.”36
The use of metaphors which
indicated spiritual kinship was common in the ecclesiastical correspondence of Late Byzantium, but
limited to addressees of orthodox belief. If even catholic rulers were excluded from the circle of
spiritual children of the Byzantine Church, the consternation of the Synod about Matthaios’ letter
becomes comprehensible.37
As this short example demonstrates, within communication systems
working within networks specific terms and “stories” are often confined to specific, communicatively
determined contexts, and thereby specific relationships (as defined by specific termini and “horizons
of expectation” connected with them) can be accepted or not.38
Finally, this leads us to the claim of Emirbayer and Goodwin that “cultural discourses, narratives, and
idioms are (…) analytically autonomous”.39
Paul DiMaggio in his most helpful introduction into
“cultural networks” in the SAGE Handbook of Social Network Analysis gives an overview how
scholars tried to come to terms with the interplay between culture and networks in the last decade.40
Closely related to many other social network studies is what one could call the “actor-orientated”
approach: in order to study the emergence of cultural phenomena, relations between artists or authors,
sometime connected via organisations, events or localities, are systematically mapped and analysed in
network models. Wendy Bottero and Nick Crossley for instance demonstrated how the high density of
pre-existing strong network ties served as structural pre-condition for the rise of Punk music in Great
34 Basil, ep. 133 (ed. R. J. DEFERRARI, Saint Basil, the Letters. Cambridge 1961, Vol. II, 302). Translation from: M.
MULLETT, Theophylact of Ochrid. Reading the Letters of a Byzantine Archbishop (Birmingham Byzantine and Ottoman
Monographs 2). Aldershot 1997, 113. 35 P. D. MCLEAN, The Art of the Network. Strategic Interaction and Patronage in Renaissance Florence. Durham – London
2007, esp. 1–34 and 224–229; cf. also MISCHE, Relational Sociology, Culture, and Agency 88; P. S. BEARMAN, Relations into
Rhetorics: Local Elite Social Structure in Norfolk, England: 1540–1640. Piscataway, New Jersey 1993; J. PREISER-
KAPELLER, Letters and Network Analysis, in: A. RIEHLE (ed.), Companion to Byzantine Epistolography (Brill Companions to
the Byzantine World). Leiden – New York – Cologne 2015 [forthcoming]. 36 Das Register des Patriarchats von Konstantinopel. 2. Teil: Edition und Übersetzung der Urkunden aus den Jahren 1337–
1350, ed. H. HUNGER – O. KRESTEN – E. KISLINGER – C. CUPANE (Corpus Fontium Historiae Byzantinae XIX/2). Vienna
1995, Nr. 144, 322, 46–53 (April 1343); O. KRESTEN, Die Affäre des Metropoliten Symeon von Alania im Spiegel des
Patriarchatsregisters von Konstantinopel. Anzeiger der philos.-histor. Klasse der Österreichischen Akademie der
Wissenschaften 137 (2002) 35–36; J. PREISER-KAPELLER, Conversion, Collaboration and Confrontation. Islam in the Register
of the Patriarchate of Constantinople (14th Century). International Review of Turkish Studies 1/4 (2011) 62–79. 37 Cf. J. PREISER-KAPELLER, Eine „Familie der Könige“? Anrede und Bezeichnung von sowie Verhandlungen mit
ausländischen Machthabern in den Urkunden des Patriarchatsregisters von Konstantinopel im 14. Jh., in: Ch. GASTGEBER et
al. (eds.) The Register of the Patriarchate of Constantinople. A central source for the History and Church in Late Byzantium.
Vienna 2013, 253–285. 38 Cf. also F. BECKER, Einleitung: Geschichte und Systemtheorie – ein Annäherungsversuch, in: F. BECKER (ed.), Geschichte
und Systemtheorie. Exemplarische Fallstudien. Frankfurt – New York 2004, 7–28, here 16. 39 EMIRBAYER – GOODWIN, Network Analysis 1438. 40 P. DIMAGGIO, Cultural Networks, in: J. SCOTT – P. J. CARRINGTON (eds.), The SAGE Handbook of Social Network
Analysis. Los Angeles – London et. al. 2011, 286–300.
8
Britain in the 1979s and the bands and other actors promoting it.41
In an impressive way, Eiko Ikegami
(2005) in her volume on aesthetic networks in “late medieval” and “early modern” Japan has analysed
this relation between the modification and innovation of cultural patterns and the complexity and
structure of social networks: „The increasing density, scale, and complexity of various kinds of
network relationships in specific historical contexts – including Tokugawa Japan – create conditions
of possibility for new cultural emergent properties to arise. While such an increase in network
complexity in and of itself does not directly produce or formulate new cultural items, it may lead in
that direction. In each case, the increase in the density of intersections between networks intensifies
communication and in the process produces increasingly varied publics. These publics, in turn, can
provide opportunities for cultural innovation.” But she also stated: „Yet, once a culture has arisen as a
manifestation of complex network systems, the culture as an emerging property retains its own
qualitative distinctiveness and social dynamics that cannot be exhausted by or reduced to the network
relations that gave rise to it.“42
In order to analyse cultural phenomena such as concepts or narrative elements uncoupled from social
networks, again a relational approach has been adopted. Margaret Somers for instance explained:
“concepts cannot be defined on their own as single ontological entities; rather, the meaning of one
concept can be deciphered only in terms of its “place” in relation to other concepts in its web.”43
With
regard to language already the founding father of modern linguistics Ferdinand de Saussure (1916) had
“argued that linguistic meaning emerges from relations among words and phonemes”. Various studies
have made use of two-mode networks to graph the co-occurrence of terms in some set of texts. For the
analysis of narratives, DiMaggio highlights the value of network analytical approaches: “Because
narratives are sequential and because they often generate multiple forks, graphic representation is
natural. Moreover, the tendency for narratives within a speech community to become conventionalized
so that similar tropes or sequences appear within different narratives, renders SNA a natural way to
explore similarity and intertextuality”.44
Roberto Franzosi, a pioneer of quantitative narrative analysis,
mapped the frequency of violent interaction between groups of political actors in Italy between 1919
and 1922 as narrated in newspaper articles with help of directed and weighted network graphs,
highlighting how “the centre of violence has shifted from the police to the fascists” in this period.45
Peter Bearman and his co-authors started to analyse the relations between events in various narratives
with the help of networks; one of the graphs you see here depicts the network of events in the narrative
of a professional historian, the other one the network of events in an orally transmitted narrative of a
live story – which is which (fig. 13)? The complex graph on the left is the event network of the live
story of a Chinese villager in the years between 1920 and 1949, the graph to the right the chain of
events of the French revolution as ordered by an historian (event nr 60 is the storming of the Bastille,
for instance). This approach allowed Bearman et. al. to compare the actual structuring of events and
the construction of chains of causations across various genres and narrative techniques.46
But, as indicated above, neither can the structure of historical social networks be explained without
taking into account the interplay between quantitative and qualitative characteristics nor the networks
of cultural concepts and narratives without the actors selecting, re-producing and modifying them (as
well as their own identities, if we follow the approach of White et al.). Therefore, a combination of
cultural concepts and actors may be an appropriate starting point for analysing the emergence of
linkages between and within both categories of nodes for cultural phenomena. This approach refers to
the idea of “duality”, “the recognition that each mode in a two-mode network constitutes the identity
41 W. BOTTERO – N. CROSSLEY, Worlds, Fields and Networks: Becker, Bourdieu and the Structures of Social Relations.
Cultural Sociology 5/1 (2011) 99–119. See also J. PREISER-KAPELLER, Punk and Palamism: a comparison of modern and
medieval cultural networks. Online-presentation:
http://www.academia.edu/2764366/Punk_and_Palamism_a_comparison_of_modern_and_medieval_cultural_networks (I
intend to elaborate this comparison in a longer paper). 42 E. IKEGAMI, Bonds of Civility. Aesthetic Networks and the Political Origins of Japanese Culture. Cambridge 2005, 57. 43 M. SOMERS, What's Political or Cultural about Political Culture and the Public Sphere? Toward an Historical Sociology of
Concept Formation. Sociological Theory 13/2 (1995), 113–144, here 136. 44 DIMAGGIO, Cultural Networks 295. 45 R. FRANZOSI, Quantitative Narrative Analysis. Los Angeles – London 2010. For an example of the application of
Franzosi´s framework on a medieval narrative see the paper by H. FERNÁNDEZ-ACEVES in the present volume. 46 P. BEARMAN – R. FARIS – J. MOODY, Blocking the Future: New Solutions for Old Problems in Historical Social Science.
Social Science History 23/4 (Special Issue: What Is Social Science History?/1999) 501–533.
9
of the other. Initially, duality referred to the mutual constitution of groups (defined by persons who
join them) and persons (defined by the intersection of group affiliations). But we may also think of
cultural entities as constituted by and constituting the actors who share them”.47
For a experimental case study, I constructed such a network of concepts and actors for the genre of
imperial panegyrics in Byzantium between 1204 and 1328, relying on data from the excellent study by
Dimiter Angelov.48
Angelov systematically surveyed authors and addressees (the emperors, of course)
of imperial panegyrics for this period as well as the figures from the biblical as well as classical
tradition (such as King David or Alexander the Great) with which authors compared emperors in their
texts. I combined this data into a three-mode-network of Emperors (red), authors (blue) and
comparative figures (green) (fig. 14). With the visualisation of this network, we can map which figures
were used by which author to characterize which emperor, as for example for Niketas Choniates and
Emperor Theodore I Laskaris (fig. 15). We can also see how many authors used a specific figure for
how many emperors, as for King Solomon for instance (fig. 16). And we can also map with which
figures a figure co-occurs for the description of a specific emperor, as for King Solomon and Emperor
John III Vatatzes (fig. 17).
These techniques also allow us to map the semantic web of comparative figures which emerges
because of the artistic work of authors and the biases of addressees. I transformed the 3-mode-network
of authors, emperors and figures in a 1-mode-network of figures, in which two figures are connected if
they were used by the same author for the same emperor (fig. 18); as several figures were used by
several authors for the same emperors, some linkages between nodes are stronger than others (fig. 20).
As becomes obvious if we inspect the graph of this network with nodes sized according to their
number of ties (degree) (fig. 19), there is a densely connected core of nodes with a relatively high
number of connections and various less densely interconnected clusters at the periphery of this web of
comparative figures (see also fig. 25). The strong ties between frequently used figures such as Moses,
King David, King Solomon, Alexander the Great and Constantine the Great form the backbone of the
panegyrical web, while more choice figures such as Pompey, Hadrian or Urbicius form, albeit less
relevant semantic clusters.49
These differences are also clearly visible in the distribution of the
frequency of numbers of connections (degree), which shows a large number of less well connected
nodes and a “long tail” of hubs with many connections (fig. 22). Very much the same figures appear
on the top with regard to the centrality measure of betweenness; in our model, nodes with a higher
betweenness are figures, which co-occur with figures which are otherwise not used together to
describe the same emperor by the same author and therefore are not directly connected to each other
(fig. 21 and fig. 24). Figures of high betweenness are the “integrators” of the panegyrical web. For
betweenness, the distribution of the frequency of centrality values shows an even more unequal pattern
(fig. 23). These unequal distribution patterns have been identified as one “signature” of complexity
within networks. A model proposed as explanation for the emergence of such patterns is the one of
“preferential attachment”, implying that in a growing network newly accruing nodes would connect to
nodes already better connected than others within the network (the “Matthew principle”).50
In our case,
this would mean that authors in most cases span their panegyrical webs around an established
repertoire of central figures of comparison, to which they then connected their more “exquisite”, often
47 DIMAGGIO, Cultural Networks 291–292. 48 D. ANGELOV, Imperial Ideology and Political Thought in Byzantium (1204–1330). Cambridge 2007, esp. 86–90. For the
networks between Byzantine scholars in this period cf. especially N. GAUL, Thomas Magistros und die spätbyzantinische
Sophistik. Studien zum Humanismus urbaner Eliten in der frühen Palaiologenzeit (Mainzer Veröffentlichungen zur
Byzantinistik 10). Wiesbaden 2011, and Kl.-P. MATSCHKE – F. TINNEFELD, Die Gesellschaft im späten Byzanz. Gruppen,
Strukturen und Lebens-formen. Cologne – Weimar – Vienna 2001, esp. 297–300. For imperial ideology in the Later
Byzantine period see also: E. MITSIOU, Untersuchungen zur Wirtschaft und Ideologie im „Nizänischen Reich“. PhD-
Dissertation, Vienna 2006; F. LEONTE, Rhetoric in Purple: the Renewal of Imperial Ideology in the Texts of Emperor Manuel
II Palaiologos. PhD-Thesis, Central European University Budapest 2012, and in general: H. HUNGER, Prooimion. Elemente
der byzantinischen Kaiseridee in den Arengen der Urkunden. Wien 1964; S. A. TAKÁCS, The Construction of Authority in
Ancient Rome and Byzantium: The Rhetoric of Empire. Cambridge 2008. On panegyric cf. also now R. REES (ed.), Latin
Panegyric. Oxford 2012. 49 Also ANGELOV, Imperial Ideology and Political Thought 91, speaks about a “common core of imperial virtues and
ideological values”. 50 R. ALBERT – A.-L. BARABÁSI, Statistical Mechanics of Complex Networks. Reviews of Modern Physics 74 (2002) 48–97.
Cf. also T. BRUGHMANS, Connecting the dots: towards archaeological network analysis. Oxford Journal of Archaeology 29
(3) (2010) 277–303.
10
more “remote” figures, which also could serve as indicators of their profound knowledge of the
classical or biblical heritage.51
Thus, also a modelling of the development of the network over time is of essential relevance. By
dividing the data in time steps for every panegyrical work from 1204 to 1328, we can also observe the
increase in size and complexity of the web of comparative figures respectively how authors selected
from and added to the inventory of nodes after the “cataclysm” of 1204 (fig. 26). This can also be
expressed in quantitative terms for the entire network (fig. 27, fig. 28) as well as for the relative
significance of single figures within the web expressed in their relative degree values (fig. 29): while
Constantine the Great, for instance, remained at the top of important figures during the entire period,
Zorobabel, the leader of the Jews from exile in Babylon back to the Holy Land, after the capture of
Constantinople in 1204 was a relatively powerful image for a Byzantine ruler in exile, but declined in
relevance during the following decades before rising again in popularity before and especially after the
successful re-conquest of Constantinople in 1261 before declining again since the end of the 14th
century.52
Thus, trends in this field of literary production within the political and ideological context of
Byzantine history can be made visible and quantifiable in a new way.53
To conclude: “Instead of viewing things as isolated units, they are better understood as being at the
intersections of particular relations and as deriving their defining characteristics from the
intersections of these relations”54
The application of the relational approach and network theory force
us to bring the existing source evidence in systematic order and in relation to each other; this alone
may provide a new and more complex picture of past social and cultural structures than other more
paratactic approaches. But the exploitation of the full potential of these concepts and tools, the
combination of qualitative and quantitative research allow us to observe interplays between culture
and structure, to go beyond the more or less systematic collection of single cases and to integrate a
vast variety of sources for purposes of analysis and visual mapping in order to receive at least a more
appropriate glimpse of the actual complexity of social and cultural patterns and dynamics in pre-
modern societies. The full potential of these tools has still to be tested.
51 ANGELOV, Imperial Ideology and Political Thought 78–115. Cf. also A. KALDELLIS, Hellenism in Byzantium: The
Transformations of Greek Identity and the Reception of the Classical Tradition (Greek Culture in the Roman World).
Cambridge 2008, esp. 317–388. 52 Cf. also ANGELOV, Imperial Ideology and Political Thought 99–100. 53 For a “geographical matrix” emerging from a connection of the places of activity of these figures in a spatial network
model, cf. J. PREISER-KAPELLER, The geographical matrix of the imperial office:
a network of spatial relations between comparative figures in Byzantine imperial panegyrics, 1204–1328, online presentation:
http://www.academia.edu/4923236/The_geographical_matrix_of_the_imperial_office_in_Late_Byzantium. 54 MARIN –WELLMANN, Social Network Analysis: an introduction 14.
11
Figures (all figures with exception of nr. 13 have been created by the author with the help of the
software tools ORA*, Pajek* and QuantumGIS*):
Fig. 1: “Backcloth” and “traffic”: The categorisation of network ties by R. H. Atkin and St. P. M.
Borgatti.
Fig. 2: Feedbacks between the categories of network ties as developed by R. H. Atkin and St. P. M.
Borgatti.
Fig. 3: Villages in the region of Chania in Western Crete in which pieces of noble property (“feuda”)
are documented in the period 1314–1396.
12
Fig. 4: Visualisation of the network of localities (hexagons) and “Venetian” (red nodes) respectively
“Greek” (blue nodes) noble families possessing feuda in these villages in the region of Chania in
Western Crete for the periods 1314–1348/1349–1367/1368–1396.
Fig. 6: Visualisation of the network of transfer of pieces of property (feuda) between “Venetian” (red
nodes) respectively “Greek” (blue nodes) noble families in the region of Chania in Western Crete for
the periods 1314–1348/1349–1367/1368–1396.
13
Fig. 7: The number of “Venetian” and “Greek” noble families documented in the region of Chania in
Western Crete for the periods 1314–1348/1349–1367/1368–1396.
Fig. 8: The density of the network of neighbourhood ties between “Venetian” and “Greek” noble
families in the region of Chania in Western Crete for the periods 1314–1348/1349–1367/1368–1396.
Fig. 9: The density of the network of transfer of feuda between “Venetian“ and “Greek” noble families
in the region of Chania in Western Crete for the periods 1314–1348/1349–1367/1368–1396.
Fig. 10: The density of the networks of neighbourhood and of transfer between “Venetian“ and
“Greek” noble families in the region of Chania in Western Crete for the periods 1314–1348/1349–
1367/1368–1396.
14
Fig. 11: A model of feedbacks between categories of network ties (based on the categorisation
developed by R. H. Atkin and St. P. M. Borgatti) for Venetian Crete in the 14th and 15
th centuries.
Fig. 12: The “co-construction” of ties and nodes in a medieval ecclesiastical context: the network of
co-presence at synodal sessions and of ordination of new bishops among the bishops in the
ecclesiastical province of Russia, May 1328–November 1335.
15
Fig. 13: Network of events in the narrative of the life story of a Chinese villager in the years between
1920 and 1949 (left) and in the chain of events of the French revolution as ordered by an historian
(right; event nr 60 is the storming of the Bastille) (from: BEARMAN – R. FARIS – J. MOODY, Blocking
the Future; modified by the author)
Fig. 14: Three-mode-network of emperors (red), authors (blue) and comparative figures (green)
connected through works of imperial panegyrics in Byzantium between 1204 and 1328 (Data from:
ANGELOV, Imperial Ideology and Political Thought in Byzantium 86–90).
16
Fig. 15: The network of comparative figures span around Emperor Theodore I Laskaris by the author
Niketas Choniates.
Fig. 16: The usage of King Solomon as figure of comparison by authors of imperial panegyrics (red)
for Byzantine emperors (blue) between 1204 and 1328.
Fig. 17: The co-occurrence of King Solomon with other figures of classical or biblical tradition as
figures of comparison used for Emperor John III Vatatzes.
17
Fig. 18: One-mode network of comparative figures of classical (red) or biblical (blue) origin; two
figures are connected if used by the same author for the same emperor.
Fig. 19: One-mode network of comparative figures of classical (red) or biblical (blue) origin; two
figures are connected if used by the same author for the same emperor. Nodes are sized according to
their number of connections within the network (“degree”).
18
Fig. 20: One-mode network of comparative figures of classical or biblical origin; two figures are
connected if used by the same author for the same emperor. Lines between nodes are scaled according
to the strength of connection between them.
Fig. 21: One-mode network of comparative figures of classical or biblical origin; two figures are
connected if used by the same author for the same emperor. Nodes are sized according to their
betweenness-centrality.
19
Fig. 22: Frequency of degree values of nodes in the one-mode network of comparative figures in
imperial panegyrics (1204–1328).
Fig. 23: Frequency of betweenness values of nodes in the one-mode network of comparative figures in
imperial panegyrics (1204–1328).
Fig. 24: Comparison of degree values and of betweenness values of nodes in the one-mode network of
comparative figures in imperial panegyrics (1204–1328).
20
Fig. 25: One-mode network of comparative figures of classical or biblical origin; two figures are
connected if used by the same author for the same emperor. Within the network, we can differentiate
between a densely connected core of figures (purple nodes) and several clusters at the periphery.
21
Fig. 26: One-mode network of comparative figures of classical or biblical origin used in imperial
panegyrics; the network in time: time slices for 1250, 1270 and 1327.
Fig. 27: One-mode network of comparative figures of classical or biblical origin used in Byzantine
imperial panegyrics between 1204 and 1328; the network in time: the increase in the number of links.
Fig. 28: One-mode network of comparative figures of classical or biblical origin used in Byzantine
imperial panegyrics between 1204 and 1328; the network in time: the increase in the number of nodes.
Fig. 29: One-mode network of comparative figures of classical or biblical origin used in Byzantine
imperial panegyrics between 1204 and 1328; the network in time: the relative degree centrality of the
figures of John the Baptist (red), the Apostle Paul (blue), Zorobabel (green) and Constantine the Great
(black).