Patterns in Roman Inscriptions

Update August 22 I’ve now analyzed all 1385 inscriptions. I’ve put an interactive browser of the visualized topic model at http://graeworks.net/roman-occupations/.

See how nicely the Latin clusters?

See how nicely the Latin clusters?

I’ve played with topic modeling inscriptions before. I’ve now got a very effective script in R that runs the topic model and produces various kinds of output (I’ll be sharing the script once the relevant bit from our book project goes live). For instance, I’ve grabbed 220 inscriptions from Miko Flohr’s database of inscriptions regarding various occupations in the Roman world(there are many more; like everything else I do, this is a work in progress).

Above is the dendrogram of the resulting topics. Remember, those aren’t phrases, and I’ve made no accounting for case endings. (Now, it’s worth pointing out that I didn’t include any of the meta data for these inscriptions; just the text of the inscription itself, with the diacritical marks removed.) Nevertheless, you get a sense of both the structure and content of the inscriptions, reading from left to right, top to bottom.

We can also look at which inscriptions group together based on the similarity matrix of their topics, and graph the result.

roman-occ-graph

Inscriptions, linked based on similarity of the language of the inscription, via topics. If the image appears wonky, just click through.

So let’s look at these groups in a bit more depth. I can take the graph exported by R and import it into Gephi (or another package) to do some exploratory statistical analysis.

I’ve often put a lot of stock in ‘betweeness centrality’, reckoning that if a document is highly between in a network representation of the patterns of similarity of topics, then that document is representative of the kinds of discourses that run through it. What do we get, then?

We get this (here’s the page in the database):

aurifices Roma CIL 6, 9207 Inscription Occupation
M(arcus) Caedicius Iucundus / aurifex de / sacra via vix(it) a(nnos) XXX // Clodia …

But there are a lot of subgroupings in this graph. Something like ‘closeness’ might indicate more locally important inscriptions. In this case, the two with the highest ‘closeness’ measures are

aurifices Roma CIL 6, 9203 Inscription Occupation
Protogeni / aurfici / vix(it) an(nos) LXXX / et Claudiae / Pyrallidi con(iugi) …

and

aurifices Roma CIL 6, 3950 Inscription Occupation
Lucifer v(ixit) a(nnum) I et d(ies) XLV / Hesper v(ixit) a(nnos) II / Callistus …

If we look for subgroupings based on the patterning of connections, the biggest subgroup has 22 inscriptions:
Dis Manibus Felix publicus Brundisinorum servus aquarius vixit…
Dis Manibus Laetus publicus populi Romani 3 aquarius aquae An{n}ionis…
Dis Manibus sacrum Euporo servo vilico Caesaris aquario fecit Vestoria Olympias…
Nymphis Sanctis sacrum Epictetus aquarius Augusti nostri
Dis Manibus Agathemero Augusti liberto fecerunt Asia coniugi suo bene…
Agatho Aquarius Caesaris sibi et Anniae Myrine et suis ex parte parietis mediani…
Dis Manibus Sacrum Doiae Palladi coniugi dignissimae Caius Octavius…
Dis Manibus Tito Aelio Martiali architecto equitum singularium …
Dis Manibus Aureliae Fortunatae feminae incomparabili et de se bene merenti..
Dis Manibus Auliae Laodices filiae dulcissimae Rusticus Augusti libertus…
Dis Manibus Tychico Imperatoris Domitiani servo architecto Crispinilliano.
Dis Manibus Caio Iulio 3 architecto equitum singularium…
Dis Manibus Marco Claudio Tryphoni Augustali dupliciario negotiatori…
Dis Manibus Bromius argentarius
Faustus 3ae argentari
Dis Manibus sacrum Tiberius Claudius Hymeneus aurarius argentarius…
Dis Manibus Silio Victori filio et Naebiae Amoebae coniugi et Siliae…
Dis Manibus 3C3 argentari Allia coniugi? bene merenti fecit…
Dis Manibus Marco Ulpio Augusti liberto Martiali coactori argentario…
Suavis 3 aurarius
Dis Manibus sacrum Tiberius Claudius Hymeneus aurarius argentarius…
Dis Manibus Tito Aurelio Aniceto Augusti liberto aurifici Aurelia…

What ties these together? Well, ‘dis manibus’ is good, but it’s pretty common. The occupations in this group are all argentarii, architectii, or aquarii. So that’s a bit tighter. Many of these folks are mentioned in conjunction with their spouses.

In the next largest group, we get what must be a family (or familia, extended slave family) grouping:
Caius Flaminius Cai libertus Atticus argentarius Reatinus
Caius Octavius Parthenio Cai Octavi Chresti libertus argentarius
Musaeus argentarius
Caius Caicius Cai libertus Heracla argentarius de foro Esquilino sibi…
Caius Iunius Cai libertus Salvius Caius Iunius Cai libertus Aprodisi…
Caius Vedennius Cai filius Quirina Moderatus Antio militavit in legione…
Aurifex brattarius
Caius Acilius Luci filius Trebonia natus architectus
Caius Postumius Pollio architectus
Caius Camonius Cai libertus Gratus faber anularius
Caius Antistius Isochrysus architectus
Elegans architectus
Caius Cuppienus Cai filius Pollia Terminalis praefectus cohortis…
Cresces architectus
Cresces architectus
Caius Vedennius Cai filius Quirina Moderatus Antio militavit in legione…
Pompeia Memphis fecit sibi et Cnaeo Pompeio Iucundo coniugi suo aurifici…
Caius Papius Cai libertus Salvius Caius Papius Cai libertus Apelles…
Caius Flaminius Cai libertus Atticus argentarius Reatinus

The outliers here are graffitos or must be being picked up by the algorithmn due to the formation of the words; the inclusion of Pompeia in here is interesting, which must be to the overall structure of that inscription. Perhaps a stretch too far to wonder why these would be similar…?

This small experiment demonstrates I think the potential of topic modeling for digging out patterns in archaeological/epigraphic materials. In due time I will do Flohr’s entire database. Here are my files to play with yourself.

Giant component at the centre of these 220 inscriptions.

Giant component at the centre of these 220 inscriptions.

Using Natural Language Processing and Social Network Analysis to study ancient Babylonian society

Also seen:

Using Natural Language Processing and Social Network Analysis to study ancient Babylonian society

In Near Eastern Studies, as in other areas of Humanities, researchers often study corpora of administrative and legal texts to understand economic, administrative, and societal structure, considering the activities of individuals and their interactions with each other. This is often painstaking work, as, for example, in studying ancient Babylonian texts where scholars must first be able to read Akkadian, and then must assemble all the references to people and activities by hand. This process is formally known as prosopography, and is used by many scholars across a range of Humanities research. Now, Professor Niek Veldhuis and Dr. Laurie Pearce are working with IST–Data Services’ Patrick Schmitz to apply some more modern approaches to the problem. They are applying techniques from the fields of Natural Language Processing (NLP) and Social Network Analysis (SNA) to extract the names and basic familial relationships of people mentioned in texts, and then to assemble the social network of the people based upon the activities described.

SNA & Prosopography – a match made in heaven. Watch this project!

(cf also:  S Graham, G. Ruffini 2007 ‘Network Analysis and Greco-Roman Prosopography’ in K.S.B. Keats-Rohan, (ed.) Prosopography Approaches and Applications. A Handbook. Occasional Publications of the Unit for Prosopographical Research, Linacre College, Oxford.)

Visualizing Latin & Other Things

In an earlier post, I tried visualizing the structure of Latin inscriptions from a particular time and place by turning them (some 30 or so, as I recall) into a kind of directed network graph, the theory being that a network analysis might reveal something of the underlying structure of inscriptions in general. It was the mental equivalent of doodling, but I wondered if the approach might have some sort of predictive power, eg for inscriptions that were incomplete. Just idle curiosity – the same idleness which drove me to run the following through Wordle (can’t get enough of that toy!) – from the Epigraphische Datenbank Heidelberg:

province: Britannia modern country: United Kingdom
find spot (ancient name): Aquae Sulis find spot (modern name): Bath (Avon)
find spot (street, etc.): Römisches Bad

literature: AE 1983, 0633.
M.W.C. Hassall – R.S.O. Tomlin, Britannia 14, 1983, 336, Nr. 3; fig.
33 u. 34 (Zeichnungen). – AE.

A-Text: Primurudem // Basilia donat in templum Martis ani/lum(!) argenteum si servus si liber / (ta)mdiu siluerit vel aliquid de hoc / noverit ut sanguin(e) et liminibus(!) ob(!) // omnibus(!) membris(!) configatur vel et/iam intestinis excomesis (om)nibus habe(at) / is qui anilum(!) involavit(!) vel qui medius / fuerit

…which gives the following wordle cloud:
Britannia 14, 1983, 336, Nr. 34

…which may or may not be a useful exercise. Guess I’d best ask a proper epigrapher. But in the spirit of discovering tools for visualization of data in new and hopefully illuminating ways, the following page, a periodic table of visualization methods, might introduce you to some new approaches.

The Space Between: The Geography of Social Networks in the Tiber Valley

The following is somewhere in the publication chain, and has been there since about 2004. Reference:

(in press) ‘The Space Between: Places and Connections in the Tiber Valley’ in Coarelli, F. and Patterson, H. (eds) Mercator Placidissimus: the Tiber Valley in Antiquity. New research in the upper and middle river valley. (Proceedings of the Conference held at the British School at Rome, 27-28 Feb. 2004). Rome. British School at Rome – Edizioni QVASAR.

The Space Between:

The Geography of Social Networks in the Tiber Valley

In a Far Side cartoon by Gary Larson, a man with a crumpled map wants to get from point B to point A. The farmer responds, ‘Beats me, sonny. Most people want to go the other way’. The joke underscores the fact that most people have a mental diagram of how places interconnect. That mental diagram is laid out as a list and it depends on the sequence of way-points along the way, a series of connections from place to place. It is more like the London Tube map than the OS or IGM maps.

In the Roman world, space was understood as an itinerary, as a sequence of what comes next[1]. In the Tiber Valley Project[2], we use a GIS to understand the spatial relationships between sites and places, with a very Euclidian understanding of space as a plane viewed from on high. How we represent space, and how the Romans understood space, are completely at odds with one another, and so we miss important elements of the experience of living in the Tiber Valley. When viewed from on high, it is too easy to put too much emphasis on ‘South-Etruria’, ‘Sabina’, ‘left bank’, ‘right bank’ and the ‘Tiber as a Barrier’, as mental categories, almost in isolation from one another. Recent work by Horden and Purcell puts the emphasis on understanding the ancient Mediterranean as a series of interconnected micro-regions[3]. They argue that we must understand the connections to understand ancient life. Yet, we use the GIS simply to represent locations, rather than to understand what might be called a ‘geography of relations’. We neglect that places were understood in the past to have particular relationships with other places, and the way we use GIS reinforces this neglect[4].

What happens if, informed by a network perspective, we look at the geography of the Tiber Valley from a point of view that puts the emphasis on those interconnections? The ‘science of networks’ has developed rapidly over the last few years[5], and it is expressly concerned with understanding the processes that occur on the network structures we find. That is, if we have put dots on the map, the science of networks might be able to tell us something of what happened in the space between those dots and what those dots represent. Batty makes the important point that what might appear to be random in Euclidean space (our dots on the map), can in fact be rather ordered in terms of networks[6]. This paper concentrates first on the problem of representing these connections, and then turns to possible avenues to explore their meaning. It aims to demonstrate the potential power of a network science point of view for understanding the Roman world.

Representing space

In this volume, there are many maps of the middle Tiber Valley. North is always at the top of the map. There is no real reason why we do this, other than the dictates of convention. Since that is how we learn to read maps, that is why we do it. But it does have an effect on how we interpret the information displayed on the map. Rome is always at the bottom of these maps. Even if we did not know a single thing about the City of Rome, there is an implicit assumption, by displaying the map in this way, that everything and everyone must make its way to Rome.

There is empirical evidence to suggest that how we display information on a map affects how we interpret it[7]. At conferences or in the lecture hall, even the size of the screen has an effect on how we interpret the interrelatedness of the information displayed, especially when we are displaying point-data. Researchers have discovered that, when viewing point-data displayed on a screen (what the viewers implicitly recognize as a map), people are more inclined to associate points together in the vertical dimension, rather than in the horizontal.[8] That is, up-down relationships are more likely to be seen in the patterning, rather than left-right. Viewers tend to regard points in the up-down dimension as being more alike, more similar, even when the distance between them is exactly the same as for the horizontal points.

Is the Tiber a barrier or a bridge? When we display the information in our GIS as convention would dictate, we naturally focus on north-south relationships, rather than east-west. We should rethink that. Set your GIS to display maps with west at the top, and see what else becomes apparent. Fig. 1 represents the distribution of stamped bricks (from the British School at Rome collection) in South Etruria. There is seemingly no pattern to this distribution, at least by eye. But when the same information is displayed as in fig. 2, with a 90° rotation, suddenly east-west and trans-Tiber connections jump to the fore (compare with fig. 6 below).

If how we display and represent space affects how we interpret the importance of relationships between places, should we expect the Roman conception of space to have had any different effect? We can approach this problem of understanding the connections between places from another angle, this time using our best guide to the Roman understanding of how places are connected: the Antonine Itineraries. In the Itineraries, the sequence of towns to visit to get from one part of the empire to any other part is listed. Instead of looking at these itineraries plotted on a map, we can follow the lead of Henry Beck, the inventor of the Tube Map, and represent the Itineraries as a network diagram, where the points are the towns, connected to the next town in the itinerary. This network diagram is a social network diagram, because it indicates something of the social, commercial, and cultural interactions between individual towns (for why else would one want to get from town A to town B?).

Geography and social network analysis

Some urban geographers now argue for an understanding of cities and settlement structures in terms of social relationships and their intensity where different social networks intersect[9]. Social life works across various networks, and cities are the foci of multiple overlapping social networks (think of the Third-World immigrants in modern Rome who peddle trinkets to North American tourists. Here in one city are two worlds that overlap, occasionally touch, but are entirely foreign to one another). Networks extend beyond the city, linking different cities together in different ways, but they also incorporate every point in between along the continuum of settlement types from humble rural farmsteads upwards. In this view, cities themselves are nodes of social relations in time and space. At any given time a city will be a node in any number of different networks of power and influence[10].

Networks do not exist independently of the people within them, and it is not enough that mere interconnections should exist. Individuals matter. Individuals must make something of these interconnections, for the networks to work[11]. This idea can be seen to underlie Laurence’s recent discussion of the transformation of Britain into a Roman province[12]. He explicitly considers the Itineraries as evidence for the purposeful reconfiguration of existing networks, over which people, goods, and capital flowed, into a distinctly Roman pattern.

An example from Italy concerns the creation of fora (market-centres) and the process of establishing control in newly centuriated land, instances where individual élite intervene in the landscape. This process represents the conscious decision to warp and reconfigure local network patterns[13]. This process is visible at Forum Novum, a settlement established in the 2nd century BC, upstream from Rome along the Aia tributary of the Tiber, in the Sabina region. A town centre was built, as well as a market for the surrounding farms. There was much ostentatious display and the typical self-aggrandizement of the local elite who paid for the development, including an aqueduct and an amphitheatre for games[14]. Yet, it never grew into a town as such, and there was little in the way of housing. Even today its modern successor, Vescovio, is not much more than a church and a restaurant. After the initial capitalization on the intersecting trade and farming networks in the river valley where Forum Novum is situated brought the settlement into being, those networks were evidently not sufficient to transform it from a minor centre. This is because of its end-point positioning in relationship to other settlements in the networks of trade and communications in the Tiber Valley, more on which below.

A network approach to cities and settlements can be more than metaphorical. Social network analysis[15], which normally considers the ‘vertices’ or ‘nodes’ in a network to be individual persons, can be adapted for our purposes to look for connections within and across cities and space. This is why we reconsidered the Itineraries as a type of social network. Then we can ask, what does position here vis-à-vis other ‘nodes’ imply for the dynamics of interaction and the overall global structure? When we consider the connections between towns today from that perspective, we find occasional long distance links. These are the motorways and so on which allow travel from one city to another without stopping in the little towns in between. These long distance links are important, because they let information travel across the network in a much quicker route than would otherwise be possible. They turn the network into what is known in network science as a ‘small-world’[16]. A small world is simply one in which, locally, most ‘nodes’ (be they people or cities) are tightly linked to neighbouring nodes, but a few long-distance connections have the global effect of shortening the average number of steps it takes to get from one node to any other node chosen at random, as in fig. 3[17]. That is to say, global characteristics of the network emerge from local interactions. When the lights went out in North America, London, and Italy in the summer of 2003, this was because the electricity grid has similar long distance connections that allowed errors to travel quickly and accumulate. In an economic network, the same ‘small-world’ principal allows capital to accumulate and be used effectively. In a social network, it allows certain people to become indispensable because they effectively can control where the information goes. They can control who knows what.

The Itineraries do not have any of these long-distance connections (fig. 4). The Roman world was not ‘small’ in the sense described above. There are some sea-connections in the Itineraries, but not enough to actually affect the way information travels through such a network. This means that, from a network analysis point of view, the interconnections between towns in the Empire are exceedingly fragile. Only a few ‘links’ would have to be broken, for the whole network to appear fragmented. Throughout human history, the majority of people never travelled much further than a handful of miles from their place of birth. Geographic knowledge of distance places therefore had to be provided through some other agency. On this evidence, to the Roman who wanted to travel some distance using these Itineraries, it would not take much bad news to persuade him that a particular route was blocked.

Yet appearances can be deceiving

When we actually examine the road network (fig. 5, a detail of the Roman roads around Rome), it is clear that there are many alternative routes, many different ways to get from point A to point B. This discrepancy is the crux of the matter. The global picture of how places interact available to a Roman in the form of the itineraries provides only for a limited number of ways to get from A to B, while the local picture, known to the people who live in an area, suggest multiple pathways.

Batty argues that in transportation systems, the adding of new layers to existing systems – such as canals to road networks, rail to canal networks – has the effect of creating small-world conditions[18]. In this sense, the cursus publicus as a rapid specialized communications system for the Emperor[19], overlaid on the existing transport system, may have created small-world conditions for the Emperor’s intelligence network, with all the attendant implications for wealth and knowledge condensation[20].

Local routes and pathways

To understand local multiple pathways, and their implications for how geography was understood, the gravity settlement model developed by Rihll and Wilson[21] was used to study the interconnections between sites using stamped brick, identified during the South Etruria Survey, in the Tiber Valley. Rihll and Wilson’s process works on modelling the amount of interaction between places, based on the assumption that places closer together will be more likely to interact, than places further apart. This mathematical model is not built on any other geographic information, other than the relative positioning of each site, based on its x and y coordinates. While a multitude of sites used brick, comparatively few used stamped bricks. Not every brick was stamped, of course, but the presence of a stamped brick probably indicates a larger shipment of brick. Patterns of supply can reflect the social ties of the builders, so the distribution of different stamp types can be used as an indicator of the degree to which the owners/builders of a site were engaged in the games of competitive display with each other, both in the countryside and the Metropolis[22].

What was interesting about this model applied to the Tiber Valley was the way it suggested interactions changed over time (fig. 6, the output from this model). To the naked eye, the distribution of sites using stamped brick does not appear appreciably different from one period to the next. Yet, to the model, subtle differences in positioning create different network patterns of interaction. At some periods, strong trans-Tiber connections are suggested amongst sites using stamped brick; other times, more north-and-south connections; sometimes certain main roads are implied, such as the via Cassia; other times, the use of the Tiber is implied as the route for these interactions. It is interesting to note how the east-west connections suggested by this model recall the same connections apparent to the eye when we turned the map in fig. 1 ninety degrees. These are as much social interactions as geographical interactions, and so suggest a much more complicated geography than one in which every product uniformly makes its way to the bottom of our map, to Rome.

These interactions also are implied in the archaeometry of stamped bricks. Seventy-five stamped bricks from the Tiber valley were tested using X-ray fluorescence[23]. The results were then correlated with the information on the stamps. Contrary to what we would expect it seems that not all bricks carrying the same stamp type were made from the same clays. There are also cases where multiple land-owners exploited the same clay sources. Some of the tested bricks were transported up the valley from where they were made; others were transported down stream; still others from one side of the valley to the other. This seemingly goes against our functionalist, cost-of-transport view of the economy, but it does point to a somewhat neglected side of the consumer city model: the social relationships that mediated trade[24].

The local and the global

Assume for a moment that all trade flows downstream, and like the Roman informed by the Antonine Itinerary we recognize only one route from point A to point B. It is here, in the discrepancy between local and global knowledge of geography, that an individual or community can make money and impact the economy. In trade, it is not the cost that matters so much as the profit that can be made. So for the well-connected individual (as in fig. 7) it should be easy to work out the discrepancy between the local and the global – between what she knows, and what her buyers know. It is ‘she’ because the single most important individual in the social network of the brick industry, the individual who sat in the very centre, was Domitia Lucilla, mother of Marcus Aurelius[25]. Over 200 people can be connected to her in only a few steps, making the industry a small-world, and putting her in a position to control the flow of information in the trade. She would have known, as a function of her position in the network, about clay sources and building contracts, about the amount of profit that could be made for a given distance of trade, whether upstream, downstream, overland, or overseas. To be able to call on clients, to be able to use the resources of skilled slaves, to have the right connections, allowed Domitia Lucilla and other well-connected individuals to get the material to where it was wanted with a minimum of fuss.

However, because of the way geographic knowledge was formulated in the Roman world, the perception of cost-of-transport could well have been out of kilter with the reality. The person buying would not necessarily have known the routes, the difficulties, except in the broadest possible terms. That meant that the buyer would find a certain cost level to be acceptable, even when that cost was in reality much higher than circumstances should have actually dictated. Today it would be similar to the way that, if we are not plumbers, we are at the mercy of the “cow-boy” who tells us the work is going to take longer and cost more than in truth it does. Most emperors were not, almost by definition, stupid men. Why do they invest so much in the brick trade? It may be that a significant factor is the discrepancy between the local and the global which makes the otherwise humble building trade economically valuable (remembering that brick making was an adjunct to agriculture), and allows it to function in the way that is visible archaeometrically. This is in line with what people such as Janet DeLaine have suggested concerning ideologies of construction, and the use of so-called ‘exotic’ materials[26]. ‘Exotic’ was in the eye of the beholder, and could even apply to something as humble as brick, if it seemed that it was difficult to obtain. That difficulty depended on how one perceived space, and the interconnections between places.

Conclusion

In the Tiber Valley, the relationships between places change over time, and they are not in the patterns we expect. As Batty argued[27], we need to move from representing locations, to representing relationships. If merely we study the ‘dots on the map’, we miss important facets of the way the social and economic geography of the Roman world worked. ‘Dots on the map’ represents a local understanding of space. To get to the global, as preserved for us in works such as the Antonine Itineraries, we need to explore the space between the two levels. Network science offers us a formal methodology for exploring the space between the local and the global. Networks are not static, nor are they deterministic. They evolve, for they change in response to the decisions people make, but they also influence those decisions. They can even make brick exotic.

Abstract

In displaying archaeological information as points on a map, we lose elements of the social and economic geography of the region we are studying. This paper suggests a methodology for exploring the space between our ‘dots-on-the-map’, based on the rapidly developing ‘science of networks’. It takes as a case study the distribution of sites using stamped brick in the Tiber Valley. It suggests that contradictions between local and global understandings of spatial relationships were exploitable economic opportunities.

Visualizzando i dati archeologici come punti su una mappa, perdiamo elementi della geografia socio-economica dell’area che stiamo studiando. Questo contributo suggerisce una metodologia per esplorare lo spazio compreso tra i “puntini”, basata sui costanti sviluppi della “scienza delle relazioni”. Come esempio, si è scelto la distribuzione dei bolli laterizi nella valle del Tevere. Tale esempio suggerisce che le contraddizioni tra le percezioni locali e globali delle relazioni spaziali potevano essere sfruttate a livello economico.

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Patterson 2004: H. Patterson, Bridging the Tiber: Approaches to Regional Archaeology in the Middle Tiber Valley, London 2004.

Rihll-Wilson 1991: T.E. Rihll – A.G. Wilson, Modelling settlement structures in ancient Greece : new approaches to the polis, in J. Rich – A. Wallace Hadrill (eds.), City and country in the ancient world, London 1991, p. ff.

Setälä 1977: P. Setälä, Private Domini in Roman Brick Stamps of the Empire: A Historical and Prosopographical Study of Landowners in the District of Rome, Helsinki 1977.

Steinby 1974: E.M. Steinby, La cronologia delle “figlinae” doliari urbane dalla fine dell’età repubblicana fino all’inizio dell III secolo, in BullCom LXXXIV, 1974, p. 7 ff.

Wallace Hadrill 1991: A. Wallace Hadrill, Elites and trade in the Roman town, in J. Rich – A. Wallace Hadrill (eds.), City and country in the ancient world, London 1991, p. ff.

Wasserman-Faust 1994: S. Wasserman – K. Faust, Social Network Analysis: Methods and Applications, Cambridge 1994.

Watts 1999: D.J. Watts, Kevin Bacon, the Small-World, and Why It All Matters, in Santa Fe Institute Bulletin [at http: //www.santafe.edu/sfi/publications/Bulletins/bulletinFall99/workInProgress/smallWorld.html], 1999.

Watts 2003: D.J. Watts, Six Degrees: The Science of a Connected Age, London 2003.

Watts-Strogatz 1998: D.J. Watts – S.H. Strogatz, Collective dynamics of ‘small-world’ networks, in Nature CCCXCIII, 1998, p. 440 ff.


Acknowledgements: Thanks to Mark Wakefield for the computer modeling. Thanks also to Thea Politis, and Rick Valin for comments, and to the BSR for access to the South Etruria Collection of stamped bricks. Errors remain my own. The original research was supported by the Social Sciences and Humanities Research Council of Canada and the Overseas Research Studentship Scheme administered by the Committee of Vice-Chancellors and Principals of the Universities of the UK.

[1] Brodersen 2001.

[2] Patterson-Millett 1998; Patterson 2004.

[3] Horden-Purcell 2000.

[4] Cf. Batty 2003, pp. 2-3 on the difference between ‘Geographic Information Systems’ and ‘Geographic Information Science’.

[5] Barabasi 2002; Watts 2003 for recent syntheses of the topic.

[6] Batty 2003, p. 5.

[7] Montello et al. 2003, pp. 316-331.

[8] Montello et al. 2003, p. 317.

[9] Massey et al. 1999, p. vii.

[10] Massey et al. 1999, pp. 42-49, 100-136.

[11] Massey et al. 1999, pp. 161-163.

[12] Laurence 2001a.

[13] Cf. Laurence 2001b, p. 596, 598 on the space-economy of Roman Italy.

[14] Gaffney et al. 2001.

[15] For the basics of which, see Wasserman-Faust 1994.

[16] The most accessible discussion of the characteristics of a ‘small-world’ is Watts 2003, pp. 69-100. Cf. also Watts-Strogatz 1998.

[17] Watts 1999.

[18] Batty 2003, pp. 18-20.

[19] Cf. Kolb 2001.

[20] Bouchaud-Mézard 2000, p. 536, and Buchanan 2002, pp. 195-196.

[21] Rihll-Wilson 1991.

[22] Graham 2002, pp. 100-7; Graham forthcoming on using the Tiber as infrastructure; cf. De Laine 2002.

[23] Graham 2002, pp. 52-73.

[24] Wallace Hadrill 1991

[25] Cf. Graham forthcoming on controlling the brick industry.

[26] De Laine 2002

[27] Batty 2003

Visualising Word Links in Latin Inscriptions

….yes, but does it mean anything?

regiovii-inscriptions.jpg

What you are looking at is a first attempt at trying to understand the language of inscriptions from a network point-of-view. Latin inscriptions tend to be formulaic; many expressions and words occur over and over again. My question was, is there any underlying structure in the patterning of this word use? I took 15 inscriptions from the Heidelberg database, all from Etruria Regio VII, and all filed under ‘notes about building, construction’ by the database editors. I compiled a list of each word and its one-spot-before and one-spot-after neighbours. Those are the connections in my network: each inscription is its own string. When a word is used in another inscription, that creates a link between the two inscriptions.

Now, meaning in Latin is generated by the case endings etc, rather than word position (as in english: subject-verb-object). A better network would generate the links both by word position and by grammatical linkages – but this is only a first stab, and there wasn’t enough coffee around for me to try the more complicated version. Yet.

Once the list – the network of ties by word positioning vis-a-vis all the other words – was generated, I analysed it using Netdraw. I asked it to determine two things: the degree for each word, and the optimal arrangement into factions. The result is the drawing you see above. The shape of node in the network (each node = one word; if a word appeared in two different cases, it was represented as two different nodes) corresponds to degree. The degree of a node is its number of connections. Squares = 2 or fewer connections; triangles = 3 to 10; circles = 10 or higher.  Nodes of the same colour belong to the same faction:

“Given a partition of a binary network of adjacencies into n groups, then a count of the number of missing ties within each group summed with the ties between the groups gives  a measure of the extent to which the groups form separate clique like structures. The routine uses a tabu search minimization procedure to optimize this measure to find the best fit. “

ie, if I tell it to look for 5 groups, it will sort through the patterns of connections looking to see if the structure permits it to identify cliques where the members have more or less the same patternings. It’s not perfect – you run it again and again looking for different numbers of groups with the best goodness-of-fit. This is time consuming; I only did it once here, to see what would happen.

Now, my initial results  here are rather trite – you will no doubt be surprised to learn that ‘et’ has the largest degree. What I’m thinking of doing is building networks for each town in a limited region – say the Tiber Valley – and then seeing how the networks mesh across space. Common words will be all over the place of course, but hey, it’s the weak ties that are often the most interesting…