An urban image in an urbanized landscape: measuring the visual impact of Tibur ’ s amphitheater

: Though infrequently used and largely super ﬂ uous, amphitheaters were often the most physically imposing and ideologically charged structures in a Roman city. The preponderance of extramural amphitheaters in Italy and their appearance in visual culture con ﬁ rm they were potent markers of urban life and civic status. This paper contextualizes Tibur ’ s imperial amphitheater within the Roman suburbium ’ s persistent urban sprawl and villas, especially Hadrian ’ s Villa, using a novel GIS visibility analysis. Its apparent size from various points in the surrounding landscape is quanti-ﬁ ed within empirical and qualitative scales developed for modern visual impact assessments. The results demonstrate the amphitheater ’ s suburban location did more than integrate Tibur ’ s extramural growth into the older urban center. It emphasized the city ’ s urban appearance, even from long distances, and monumentalized alternate routes to the city used by the villa-owning elite, countering the ambiguous status of a liminal city that was both Rome ’ s annex and an autonomous municipium.


Introduction
Amphitheaters dominated many Imperial Roman cities with their tall, imposing façades.Their construction demanded a considerable outlay of money and urban space, yet they were not a necessity for civic life.Arena spectacles, occurring only a handful of times per year, had long made do with fora or other open public spaces. 1The rationale behind amphitheater projects clearly transcended pragmatic function.As often noted, permanent amphitheaters created mechanisms for reifying and negotiating social hierarchies, reinforcing social control and inculcating Roman values, asserting allegiance to the imperial household, fostering economic opportunity, and cultivating civic pride and identity, especially in comparison to neighboring communities. 2Significantly, two-thirds of Italy's amphitheaters were built in suburban districts, enhancing their visibility to non-local audiences as much as reacting to the practicalities of space and crowd control. 3Extramural placement also offered added benefits such as formally integrating suburban development into the monumental civic center, designating it as fully urban space. 4In short, amphitheaters materialized elite urban ideologies through their enduring physical presence and the periodic events staged within. 5ibur's modest extramural amphitheater, built ca.125 CE, epitomizes these characteristics.Yet, as part of Rome's suburbium, the city's urban identity was ambiguous and diluted, which lent its arena exceptional symbolic value.Formerly a proud and independent Latin city-state situated at the interface of Latium, Sabina, and the Apennines, Tibur had long since evolved into a suburban retreat for the capital's most privileged classes.Centuries of intensifying villa building in its immediate hinterland, paired with Rome's increasing suburban sprawl, had rendered it an extension of the capital's socio-political networks.The construction of Hadrian's Villa, contemporaneous with the amphitheater's appearance, marked a culminating moment.A late arrival in comparison to Italy as a whole, Tibur's amphitheater was the largest urban project undertaken in over two centuries, offering both tangible and ideological benefits to the community.Not since the monumental sanctuary of Hercules Victor (early 1st c.BCE) had a single project so profoundly altered the cityscape. 6is article explores the amphitheater as a response to suburbanization, arguing it capitalized on Tibur's elevated position to maximize its visibility for travelers arriving from or traveling to Rome, while also monumentalizing alternate routes into the city for the villa-owning elite.Viewed from the west, the amphitheater presented an unmistakably urban image within a crowded suburban landscape − a physical manifestation of reclaimed urban status.This premise is assessed quantifiably using a novel GIS visibility analysis that estimates the apparent size of the amphitheater's façade from various points in the surrounding landscape.These metrics are evaluated against empirical and qualitative scales developed for modern landscape management and visual impact assessment but contextualized within the unique social and political dynamics of 2nd-c.Tibur.In sum, this exploration illustrates how Tibur was set apart from its Italian peers, occupying a liminal role at the margins of Rome's formidable zone of influence, which presented unique challenges, but also opportunities, for maintaining its autonomous urban identity.

Tibur and its amphitheater in the reign of Hadrian
The amphitheater was constructed about 300 m south of Tibur's Republican walls in an area of suburban development that had emerged by the 1st c.BCE (Fig. 1).Mentioned in documentation as late as the 15th c., the arena was subsequently rediscovered in 1948, then excavated in sporadic campaigns extending until the 1990s. 7The results have only been minimally published. 8The structure is poorly preserved, with extant walls no more than 3 m high, likely due to purposeful destruction and fill concurrent with the construction of the adjacent 15th c. fortress, the Rocca Pia.Prior to that, it may have been repurposed as a fortress itself in the 13th c., at which time its spaces were re-exposed and interior connections reconfigured. 9Its Hadrianic construction date was determined on the basis of a brick stamp bearing a consular date of 123 CE and an inscription mentioning its dedication 6 Coarelli 1987; Giuliani 2004.The sanctuary became synonymous with the city in 1st and early 2nd-c.CE literature (Bodei Giglioni 1977, 61).

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Commentaries of Pius II, 5.27.6: …vestigia erant nobilis amphitheatri quae arx omnia consumpsit ("… there were ruins of a noble amphitheater, but the fortress [i.e., the Rocca Pia] destroyed them all").by a local leader and civic patron, M. Tullius Blaesus, active in the mid-2nd c. 10 A modestly sized structure, 83 by 64 m with an internal arena of 57 by 37 m, it could accommodate approximately 7,600 spectators, a fraction of the surrounding region's massive population. 11It lacks most of the advanced engineering found in the empire's preeminent 2nd-c.structures, with only a single covered ambulatory running below the cavea, and an unexcavated underground passage aligned with its minor axis.Its southern and southeastern cavea is supported directly on the slope of Monte Ripoli, built without radial foundation walls, while most of the structure was carried on masonry vaults. 12The masonry is Fig. 1.Plan of Tibur's amphitheater.(After Frontoni 1997, pl.XXIV.)   10 opus mixtum, although the façade presents travertine blocks decorated with semi-columns aligned with the radial walls.
Despite the amphitheater's common attribution to Blaesus, he was probably not the sole benefactor.The key inscription, primarily dedicated to Blaesus's son, M. Tullius Rufus, only mentions, in the crowning, that his father donated a sum of money and labor towards the structure's "dedication" (dedicatio), which could be construed as ceremonies related to its inauguration or other final preparations. 13Nonetheless, Blaesus is a comparatively rare example of a local civic patron.Likely a decurion, he belonged to Tibur's tribe Camilia, held several local offices, and appears, along with his wife and children, in other inscriptions, such as one overseeing an honorary monument approved by the city council.Most importantly, he held the prestigious positions of curator fani Herculis Victoris, supervising the city's famous sanctuary, and salius, here devoted to the same deity, both rarities for a local citizen. 14Even so, of the almost two dozen attested civic patrons, half came from the senatorial class, likely reflecting the town's efforts to co-opt nearby villa owners. 15oreover, Trajan and Hadrian's reigns saw an influx of elite Spanish families into Tibur. 16Their arrival seems to have spurred renovation and enlargement in several luxury villas in the city's territory. 17Many of the formerly modest productive centers closest to Hadrian's Villa expanded to rival the older massive uphill estates, presumably as proximity to the imperial seat raised their social and political value. 18The city's unusually rich epigraphic record, largely originating in statues honoring senatorial villa owners within the porticoes of the sanctuary of Hercules Victor and other public civic zones, almost certainly stems from otherwise unrecorded acts of benefaction. 19While our fragmentary knowledge of the city's urban topography makes it difficult to verify whether this stimulated a period of urban renewal beyond the amphitheater, it does appear Tibur acquired renewed prestige in the period spanning Trajan to the Antonines. 2013 See n. 10 above.Twenty thousand HS and 200 operae (man-days of labor): not enough for its total construction (Futrell 1997, 136; Torelli 1995, 233).14 He also served as pontifex (CIL XIV 4258 = Inscr.Ital.IV 201 = ILS 6233).For the other texts, see n. 10 above.
The office of curator fani Herculis Victoris was mostly held by powerful non-local senators of consular status or equites, some of whom also served as salius and patron in Tibur. 21This unexpected interest in local religious offices is likely due to the close association between the sanctuary of Hercules Victor and the emperor, which traces its origins to Augustus. 22fter Augustus seized its treasury during the Perusine War, the theater received marble decor, perhaps by imperial benefaction as part of his promised restitution. 23Later Augustus allegedly administered justice from its porticoes during his sojourns in the territory. 24These connections may have been reaffirmed by Hadrian both in his efforts to emulate the first princeps and in his adoption of Tibur as seat of his villa, a mere 2.5 km from the sanctuary. 25The fact that Blaesus shared offices with some of Rome's most prominent aristocrats with close imperial ties is testament to Tibur's extraordinary integration into powerful networks.Yet, as a local citizen, it is fitting he would be at least partly responsible for the largest benefaction the city had seen in two centuries, especially one that served to enhance its urban façade and regional standing.One can only speculate whether his connection to the imperial elite may have facilitated this project in any way, or if any of these other dignitaries were responsible for the unaccounted-for funding behind its construction.Such ties could have been instrumental in obtaining the emperor's approval, necessary for the construction of a large-scale entertainment structure. 26While it did not technically violate the imperial monopoly on public building and spectacle in Rome, Tibur's proximity and integration into the capital's social networks may have complicated such benefactions, providing an expedient outlet for the senatorial elite long barred from conspicuous display there. 27Moreover, Hadrian, a renowned builder across the empire, was not hostile to amphitheater projects during his reign, but direct evidence of this is scarce. 28He likely funded some restoration of Capua's arena and was responsible for the spectacular new edifice in his ancestral patria Italica. 2921 Six or seven senators, mostly 2nd c.CE, are attested as curator, while three or four may have been salius: Giletti 2018, 400-9; Várhelyi 2010, 216-18; Syme 1982-1983, 261.22   Bodei Giglioni 1977, 66-67.The local augustales were known as Herculanei (et) Augustales and at least partially served the imperial cult (e.g., CIL XIV 3561).See Giletti 2018; Jaczynowska 1981,  643-45.23   App.B Civ. 5.22.87;5.24.97;Bodei Giglioni 1977, 34-35; Giuliani 2004, 49-50; Pintucci 2006;  Pintucci 2007.Sculptural and architectural fragments are stylistically dated to the early Augustan era.Epigraphic evidence from the theater excavation, which may confirm an Augustan intervention, has not yet been published.

Tibur and Rome's suburbium
Tibur had long been a liminal city, straddling various geographical, cultural, and economic boundaries (Fig. 2), but this ambiguity came to challenge its urban identity by the Early Imperial period.It was alternately considered Latin or Sabine. 30eographically, it occupied a strategic position along the Anio (modern Aniene) River where the Monti Tiburtini yield to the Roman Campagna's lowlands, producing the city's characteristic waterfalls.It had remained one of the largest independent Latin city-states until the Social War, when it became a municipium (ca.90 BCE), naturally retaining its own councils, magistrates, and local self-governance. 31Despite this nominal autonomy, its assimilation into Roman social and economic networks intensified through time.With easy access from Rome along the Via Tiburtina, Tibur continued to be among the most preferred locations for opulent villas belonging to the Roman aristocracy throughout the Late Republic and Empire, offering views across Latium, forests, waterfalls, and access to four urban aqueducts. 32 [44.1-6]).It was included in Augustan regio IV (Samnium) not regio I with Latium (Plin.HN 3.107).This uncertainty extends to prehistory: see Fulminante 2014, 41-42 and  Bourne 1916, 15-18.31   App.B Civ. 1.65.32 Aqua Anio Vetus, Aqua Marcia, Aqua Claudia, and Aqua Anio Novus.Frontinus (Aq.6.5) mentions a dedicated line of the Anio Vetus for Tibur.All four urban aqueducts considered the needs of Tibur and its surrounding villas (Evans 1993).Imperial Tibur's character had been transformed in comparison to its former independence.Florus, for example, recalling its involvement in the Latin War, terms the city "now suburban" (1.5.7:Tibur, nunc suburbanum), underlining the contrast between its historical sovereignty and current (2nd-c.CE) cultural dependency. 33The adjective suburbanus was used almost exclusively in reference to Rome's hinterland and applied most frequently to aristocratic villas. 34Thus the term refers not just to physical proximity to the city, but also to the lifestyle of the metropolitan elite.Rome's ruling classes characterized the cities and towns labelled suburbanus primarily as places of otium. 35Their very identity, at least among the villa-owning classes, had become inextricably tied to the surrounding estates in their territories.These settlements were woven into the urban elite's social and economic fabric and formed an extension of Rome's networks, even though they remained administratively autonomous.
Modern scholarship has adopted the noun suburbium, although rarely used in antiquity, to denote this ambiguous zone surrounding Rome. 36Its limits were never clearly defined but nonetheless shifted in response to economic and political forces emanating from the capital, much as Rome's own urban boundaries (e.g., walls, pomerium, customs circuit) were continuously redefined through centuries of development. 37Early Imperial Rome had long since expanded beyond its Republican (Servian) walls, rendering it an "open city." 38As a result, jurists devised the terms continentia tecta or continentia aedificia ("continuous buildings") to describe the sprawling extent of "urbanized" extramural structures. 39Contemporary authors often commented on the difficulty in discerning the boundaries between the urbs proper and the countryside beyond.Dionysius remarked the two were so interconnected that Rome appeared to be a "city stretching out indefinitely." 40Aelius Aristides said Rome spread so far into the surrounding plains and mountains that it was impossible to view its full extent from a single point. 41This extension had, rhetorically if not literally, begun to touch upon neighboring cities' territories; Pliny the Elder, commenting on Rome's expansion beyond its walls, noted, its "spreading buildings have 33 On Florus's floruit, see Baldwin 1988, 139-42.34 Champlin 1982; Goodman 2007, 20-28.It usually referred to private property, particularly villa, praedium, fundus, or rus.The substantives suburbanum ( praedium understood) and suburbana (villa) occurred regularly.The noun suburbium also existed but was exceedingly rare (see n. 36).
Measuring the visual impact of Tibur's amphitheater added many cities." 42 Moreover, in addition to Rome's continual growth and the fluid boundaries of city and suburbium, there was a constant alternating flow of people, animals, and goods between Rome and its environs. 43chaeological evidence has made clear that the suburbium was not ordinary "countryside" but an extraordinarily densely occupied region unlike any other in the Roman world.Witcher's heuristic demographic model of the Early Imperial (ca.27 BCE -CE 100) suburbium, based on survey data, calculated minimum and maximum populations of ca.193,000 (35.7 per km 2 ) and 644,000 (119 per km 2 ), respectively, within 50 km of Rome.His informed estimate falls a little under a third of a million people (60 per km 2 )almost half to a third of Rome's own population. 44This includes the many suburban cities, villages, and other settlements within this zone, which comprise about 32% of the total regional population.The model therefore implies that 68% of the suburban population, or about a quarter of a million people, may have lived between Rome and these larger population centers.Even allowing for a ca.13% reduction, as suggested by recent archaeological ground truthing of survey data in central Italy, the suburbium was an unusually thickly inhabited landscape that defied simplistic urban-rural dichotomies. 45Suburban cities needed to visually reify their urban status or risk being absorbed into sprawl.

Amphitheaters and the Roman urban image
Amphitheaters were a late and irregular addition to the suite of amenities typically found in Roman cities.Their earliest and densest spread occurred in the Italian peninsula.After a gradual start in the 1st c.BCE, the 1st and early 2nd c.CE saw a flood of construction, attesting to a shared cultural network and competitive civic spirit. 46This defies the overall public building pattern in Italy that saw a marked decline after the Julio-Claudian period, except for certain structural types, amphitheaters included, as well as baths and macella. 47Where constructed, amphitheaters became a dominating presence in the urban landscape.Their tall and wide façades towered over most other civic buildings. 48As a result, they became particularly potent symbols of Roman urban life, as seen in their frequent use in visual culture.The largest and most monumental structures became familiar icons for their cities, such as Puteoli's Flavian-era amphitheater, which appeared on glass flasks depicting its cityscape. 49Moreover, two scenes on Trajan's column prominently display arenas. 50These clearly distinguish the familiar civilized imperial cityscape from barbarian Dacian settlements. 51A Pompeian fresco depicting Daedalus and 42 Plin.HN 3.67: exspatiantia tecta multas addidere urbes.
Icarus inserts a conspicuous amphitheater into a distant, generic walled city (Fig. 3). 52Yet, as in reality, many artistic depictions of cityscapes did not include amphitheaters, instead focusing upon fortifications, gates, or other urban features such as theaters, streets, and houses. 53Only about a quarter of cities in Italy had a permanent amphitheater. 54Amphitheaters, then, must have represented a distinctive choice made by civic benefactors and officials, but still one that came to represent, by the 1st c., a prosperous and characteristically urban ideology.The varied depictions of urban forms in Roman visual media confirm the uniformity of the Roman "idea" of a city. 55With their shared architectural vocabulary, any combination of structures would immediately signify a city to a viewer. 56et, amphitheaters always constituted an exceptional urban form due to their visual dominance and propensity to be situated outside civic centers, which rendered them especially powerful signifiers of urban identity in the Roman world.53 Goodman 2006, 28-37.54   Calculated using Heath's amphitheater database (https://github.com/roman-amphitheaters/roman-amphitheaters) (n=96 excluding cities with multiple structures and private examples).The number of cities in Roman Italy is debatable: Laurence et al. (2011, 263), 460 cities, produces 21%; Hanson's (2016) catalogue, 335 cities, produces 29%.An unknown number of amphitheaters remain undiscovered.

Extramural amphitheaters in Italy
Almost two-thirds of Italy's amphitheaters, including Tibur's, were built in extramural districts. 57Locating an amphitheater in a suburban zone created several advantages. 58ogistically, peri-urban neighborhoods offered more space than was available in crowded civic centers developed in previous centuries. 59They facilitated the movement of raw materials and workers during construction along established road networks, and similarly eased crowd flows on game days, especially from neighboring communities. 60Moreover, placing these structures beyond the city center offered better event safety. 61The famous 59 CE riot in Pompeii's amphitheater or the Spartacus revolt underline these spectacles' inherent dangers, which could arise from the spectators, animals, or gladiators themselves. 62Yet, an extramural location also served several ideological needs.Seventy-eight percent of Italy's amphitheaters were placed along consular highways, which frequently merge into principal urban arteries. 63Many have their widest major axis oriented along these thoroughfares, emphasizing their monumentality. 64Proximity to roadside tombs, especially those with integrated seating, would have presented stopping points for travelers from which to view them. 65These factors amplified their visibility to outsiders, even those who may have bypassed city centers using external ring roads, thus accentuating the city's regional standing without any need to even pass through a gate. 66Finally, building a monumental venue outside the urban core created opportunities for festival processions to move between theaters, fora, temples, and amphitheaters, integrating extramural growth into the ritualized civic landscape. 67That amphitheaters were often foci of civic pride is highlighted by an incident during the 69 CE civil war between Otho and Vitellius in which Placentia's suburban amphitheater burned down. 68Convinced of their neighbors' jealousy, Placentia's inhabitants suspected sabotage rather than a battle casualty.

Practical benefits of spectacle
Ideology aside, there were also practical reasons for Imperial Tibur to add a permanent arena.Although the benefactors' primary motivations likely lay in the realm of enhancing their political and social prestige, the construction of Tibur's amphitheater 57 Bonetto 2003, 926 (using Tosi 2003).Others report lower ratios but are based on smaller samples (Emmerson 2020, 163 n. 2).
Matthew Notarian opportunistically exploited a dense but dispersed population.As a smaller node in the wider suburbium, Tibur's gravitational pull was unmistakably less powerful than the capital's.Civic leaders may have actively sought ways to bring people into the city rather than Rome.Spectacles in a newly constructed amphitheater may have provided an added impetus for the surrounding populace to travel into the civic center, at least on an intermittent basis, augmenting the social capital of the donors and the status of their city.This would also have the secondary effect of spreading economic benefits throughout the community.Any resulting financial gains may have strengthened already existing ties of patronage with professional associations, such as that of Tibur's builders (collegium fabrum Tiburtinum), or cultivated new bonds, perhaps directly providing markets for landowners to sell produce and goods, all of which in turn reinforced the benefactors' social objectives. 69fortunately, there is meagre documentation of munera at Tibur that might provide a sense of the scale, grandeur, or frequency of local events.The sole surviving account mentions a munus of 20 pairs of gladiators and an associated venatio given in 184 CE by M. Lurius Lucretianus to celebrate his assumption of the civic office of quinquennalis. 70he number of gladiators is fairly mediocre in comparison to data from elsewhere. 71nother munus might be inferred from the inscription of M. Tullius Blaesus discussed earlier. 72It mentions money spent "towards the dedication of the amphitheater" (ad amphitheatri dedicationem). 73This might have entailed an opening festival, similar to (but undoubtedly far less extravagant than) that which Titus offered to celebrate the Colosseum's inauguration in 80 CE. 74 The omission of a munus or venatio would be unexpected given donors' propensity to flaunt these gifts on public monuments.The reference to the amphitheater's dedication, however, is tangential to the main dedicatee.In any case, there were certainly more than these two events held in Tibur.
Comparative evidence from other Italian and provincial cities provides an idea of the frequency of spectacles.The surviving municipal charters indicate civic magistrates were required to give a certain number of game days per year using a mixture of public and private funding, although these regular performances are less likely to be commemorated epigraphically than acts of public euergetism, such as the above games of Lucretianus. 75The lex Coloniae Genetivae Iuliae specifies duoviri should arrange four days of gladiatorial or theatrical performances a year, and aediles should organize three days of gladiatorial or theatrical spectacles for Jupiter, Juno, and Minerva, plus an additional day of gladiators or chariot races for Venus. 76The lex municipii Tarentini also makes clear the quattuorviri were required to hold public games each year, although the extant sections do not detail  (Cooley and Cooley 2014, 290-91).Twenty pairs seem "standard" (Benefiel 2016, 450).their frequency. 77Other public officials, particularly those associated with the imperial cult, were also obligated to provide gladiatorial shows. 78A Tiburtine flamen Augustalis is attested epigraphically, although without any connection to public spectacles. 79The most plentiful spectacle record outside Rome comes from Pompeii, where a corpus of painted advertisements (the so-called edicta munerum), many of which record monthly dates, supplement the inscribed evidence.Unfortunately, it is impossible to determine in what year many took place.Those that can be dated span a range of some 70 years between the Augustan and Flavian eras. 80Nonetheless, the clustering of events within a relatively limited group of months seems to indicate a typical year in a middling Italian city might see only a handful of spectacles, perhaps one or two, offered. 81Moreover, municipal charters and other epigraphic evidence make clear that magistrates had the right to offer other events or public benefactions in lieu of the annual munera, so even these may not have taken place with regularity. 82In short, gladiatorial spectacles were expensive and rare events.They were also immensely popular. 83Any public official able to pay for a performance was guaranteed a crowd and the grateful appreciation of not only his own townspeople, but a sizeable contingent from the surrounding region, as well. 84e apparent regional popularity of gladiatorial events is explained by their scarcity.Several examples illustrate their power to draw in spectators from surrounding towns, even in proximity to Rome.Pompeii's amphitheater, with a capacity of 20,000, likely close to double the city's population, is exemplary.The notorious 59 CE riot between Pompeians and neighboring Nucerians reminds us that sizable contingents came from nearby communities on game days. 85Moreover, painted advertisements were displayed in and around Pompeii for spectacles in as many as nine surrounding Campanian cities, 77 CIL I 2 590 = ILS 6086.Half of magistrates' fines went towards either the required public games or a public building project: dimidium in l[u]deis quos / publice in eo magistratu facie[t] ("half towards the games which he will give publicly in that magistracy").80 Tuck 2008/2009, 125-27.81   Twenty-four known edicta advertise games at Pompeii (excluding external events) for which a month is preserved or reconstructed.April and May have the most (five and six, respectively), followed by June and November (three each).September, October, and December have none (Tuck 2008/2009, 127).A more cautious estimate of bi-monthly distribution by number of game days (Cooley and Cooley 2014, 68) shows peaks in the second half of March (4), first half of April (8), first half of May (10), and second half of November (11).82 E.g., the Tarentum regulations indicate that fine money could be directed towards another public monument of the magistrate's choosing: seive ad monumentum suom / in publico consumere volet, l[icet]o.The lex Coloniae Genetivae Iuliae allows magistrates to choose either gladiatorial or theatrical performances.Several Pompeiian inscriptions attest to benefactions made "instead of games" ( pro ludis: CIL X 845; CIL X 853-57.CIL X 829 is more explicit: ex ea pecunia quod eos e lege in ludos aut in monumento consumere oportuit).
84 Benefiel 2016, 451-53.Even the leading donors at Pompeii may only have offered one to three shows across their entire careers.Gladiatorial spectacles were "always something special" (Hopkins 1983, 7).85 Tac.Ann.14.17.some as far as 64 km awaya two-day journey by foot. 86The "away" games advertised at Pompeii tend to extend over three to five days, suggesting longer spectacles might have been used to entice outside visitors. 87Another infamous incident occurred at Fidenae, only 9 km north of Rome, in 27 CE, during Tiberius's reign. 88A freedman opportunistically erected a temporary wooden amphitheater, taking advantage of a dearth of shows in Rome itself, which collapsed when 20,000 to 50,000 people came from the capital. 89Steven Tuck has also argued amphitheater event scheduling at Pompeii reflects a reluctance to overlap with games and festivals in neighboring communities, even as far away as Rome. 90This strongly indicates a certain segment of the population would have traveled from Campania to Rome for major ludi such as the Ceriales in April, the Apollinares and Victoriae Caesaris in July, the ludi Romani in September, and the Plebeian Games in November.Moreover, the games of Apollo, the Roman games, and the Plebeian Games were immediately followed by major multi-day market fairs in Rome, indicated separately on various fasti. 91Tibur's amphitheater could only have accommodated a small number of additional people beyond those who lived in the civic center.Considering, however, amphitheater size as a ratio of urban population, local inhabitants had a much greater opportunity to attend these events than the larger, and potentially more frequent, shows staged in Rome.The structure in Tibur could host its entire urban population, whereas the Colosseum could only host around 5-7% of the capital's, not including the suburban population or other visitors. 92However infrequent Tibur's spectacles may have been, it was easier for local inhabitants to attend them than Rome's imperially sponsored displays.From this perspective, the amphitheater fulfilled an urban need for social cohesion, and the construction and reification of local social hierarchies that spectacles fostered, which could never be realized by the imperial games staged nearby in the capital.
Measuring the visual impact of Tibur's amphitheater 13 https://doi.org/10.1017/S1047759424000059Published online by Cambridge University Press because it was his supposed lack of public entertainment in Rome that led the urban populace, desperate for recreation, to the suburbs.This is likely exaggerated for polemic effect.Rather, the tremendous population of Rome and its suburbium, combined with the infrequency of gladiatorial shows, probably accounts for the excess attendance.Any spectacle within this zone would have attracted vast crowds.Therefore, Tibur's location gave the city the potential to easily attract thousands of people for its spectacles, drawing both from the immense local population and from travelers heading to Rome along the Via Tiburtina-Valeria corridor.The city could theoretically have timed events to avoid major festivals at Rome, as at Pompeii, or perhaps strategically staged them to take advantage of an increase in traffic before or after these dates.Assuming people were willing to travel a full day to attend a spectacle (about 40 km according to John Hanson and Scott Ortman, extrapolating from Pompeiian painted advertisements), the entire population of Rome and its eastern suburbium were within the city's catchment areaa figure of well over a million people. 95While not everyone could have been seated for the main event, the festival atmosphere of games probably meant there was alternative entertainment, not to mention plenty of money-making opportunities that augmented the reciprocal ties between patrons and local collegia.Typical games featured events in the days leading up to the actual spectacle, including a public presentation of the gladiators, a banquet, and a procession (pompa). 96ne such parade, depicted on a tomb relief from Pompeii, shows the sponsor among various lictors, attendees, and horses, carrying musical instruments, arms and armor, and statues borne on litters. 97rchants certainly took advantage of the crowds that gathered in and around the amphitheater during games.There is, in fact, direct evidence for this in the well-known riot painting found in the House of Actius Anicetus (I.3.23) in Pompeii.Temporary stalls with fabric awnings are visible in the open area in front of the amphitheater.Moreover, painted notices within the amphitheater's actual exterior arches indicate specific merchants had the aediles' approval to utilize these locations for selling goods. 98Clearly these were coveted spots for market stalls that required civic authorities to adjudicate, perhaps through the intercession of elite patronage.Similar evidence might be seen in a Late Antique graffito from a niche on the exterior wall of Aphrodisas's theater listing prices of foodstuffs, as well as several nearby inscriptions possibly indicating spots reserved for out-of-town merchants. 99Other evidence for the commercialization of amphitheater games has been inferred from a variety of portable objects decorated with gladiatorial and animal hunting scenes, such as lamps, figurines, bowls, and glass cups. 100The fact that some glasses, for example, contain well-known gladiators' names has been interpreted 95 Hanson and Ortman 2020, 427, although   Lavan 2012, 339-41.The food list (Roueché 2004, no.213) could indicate a market stall selling honey, wine, oil, bread, and various vegetables and grains.The topos inscriptions (Roueché  2004, nos.196-97)  as evidence these objects were sold as souvenirs of actual events. 101They have often been compared to the fictional silver cups depicting Trimalchio's favorite gladiators. 102Local artisans around the empire also capitalized on famous monuments by selling souvenir trinkets, such as the silver models of the Temple of Artemis at Ephesus, ceramic replicas of the Aphrodite of Knidos, and glass flasks engraved with scenes of Puteoli and Baiae. 103If the interpretation of such objects as souvenirs is correct, one would assume the bustling marketplaces surrounding Roman cities' amphitheaters were one place where they were peddled.Indeed, any public event that attracted large crowds, from games to periodic courts, provided opportunities for peddlers, poets, orators, and other entertainers to ply their trades, bringing economic benefit to the city. 104e spectacles themselves also must have required a great deal of human labor.The amphitheater, in addition to regular maintenance, needed to be prepared and decorated.The awning (velarium), if available, needed to be raised.Advertisements needed to be painted around town and nearby cities, and programs (libelli) distributed.Props, sets, costumes, weapons, and armor needed to be made, procured, transported, and staged.Animals had to be purchased, delivered, fed, and ultimately displayed and disposed of.A staff would have been necessary to maintain crowd control before, during, and after the shows, and a herald was required to officiate.Games provided a range of direct and indirect benefits to the local economy.Moreover, there may have been the opportunity to directly profit by charging some spectators, perhaps non-residents, fees for admission, as the disaster at Fidenae attests. 105sibility of Tibur's amphitheater in the suburban landscape Nonetheless, a purpose-built permanent structure was not required to host local spectacles.Presumably, Tibur, like most communities in the empire, had formerly been holding both donated and requisite annual public games either in temporary wooden structures or in another public venue, such as the sanctuary of Hercules Victor's theater. 106The amphitheater's significance therefore cannot be attributed to mere economic expectations alone, although these could have factored into the decision to authorize its construction.A larger structure with a higher seating capacity would have capitalized better on its geographic advantages.However, given the steady erosion of Tibur's urban identity, its donors may have primarily intended to reassert civic centrality while at the same time delicately 101 Künzl and Koeppel 2002, 20-22; Cassibry (2018, 16), however, notes most examples were found in the northwest provinces, their possible center of manufacture.Relatively few were found in Italy, but these include Rome and surrounding cities (i.e., Alba Fucens, Sentinum [del Vecchio  2001, 25, 28]).Dio Chrys.Or. 8.9 (Isthmian Games); Dio Chrys.Or. 35.15-16 (economic benefits of assizes).Also, Boatwright 2000, 98.   105 Despite Tacitus's (Ann.4.62-63) disapproval of the freedman sponsor's "sordid gain" (in sordidam mercedem), the senate did not ban such practices, only limiting sponsors to those with fortunes larger than 400,000 HS.See Chamberland 2007.106   Vitruvius (5.1.1-2)relates the rectangular shape of civic fora to the wooden seating for gladiatorial munera.E.g., though lacking a permanent amphitheater, Forum Popillii advertised a show with 24 pairs in Pompeii (AE 1990, 177c; Benefiel 2016, 453).
Measuring the visual impact of Tibur's amphitheater 15 https://doi.org/10.1017/S1047759424000059Published online by Cambridge University Press balancing potential imperial displeasure.The amphitheater's placement just outside the city walls, to the southwest of the urban center, made it especially visible to travelers coming from Rome.The relentless expansion of the continentia aedificia and enlargement of elite villas on Tibur's slopes had rendered the city increasingly inconspicuous in the suburbium's landscape.Extramural construction had long since overgrown and obscured the city walls, another important marker of urbanitas. 107A concrete vaulted amphitheater rising above the rooflines of Tibur's civic center, however, was an unambiguous signifier of urbanity.
Tibur's amphitheater was built near the boundary between the suburban district and the city's broader hinterland, as indicated by the proximity of a developed extramural road network with adjacent structures, tombs, villas, and ceramic workshops (Fig. 4). 108evertheless, it was not built on open land.Its northeastern cavea covered an earlier basalt paved road, oriented north-northwest, unlike the amphitheater. 109Moreover, traces of earlier structures were found in space XXV on its east, as well as adjacent to the western exterior foundation. 110Therefore, we cannot simply ascribe its location to the availability of undeveloped land.Unlike most of Italy's suburban amphitheaters, however, it was not located along the major thoroughfare, the Via Tiburtina-Valeria, that passes well to the north and through the civic center.The amphitheater's immediate context reveals some key features.It is not oriented with the existing road network.The only extant parallel road is a stretch located about 30 m to its east, uncovered during excavations in the 1990s. 111The section's connection to the larger street system is unknown, but projecting it northwards, it probably joined one of the subsidiary roads leading to the city's southwest gate.Topography most likely explains the amphitheater's bearing, about 14 degrees.While not parallel to the current steep scarp to the west, the amphitheater is aligned with a villa terrace built into this hillside, suggesting the ancient topography differed. 112Moreover, by orienting the amphitheater's major axis with the precipice, it minimized the economic benefit of Monte Ripoli's rising terrain for its foundations. 113Aligning its major axis east to west would have allowed more seating to use the hill for support, but instead the builders chose the opposite orientation, an extremely unusual decision. 114Its visibility from the west is enhanced, but at the added cost of more building material.Furthermore, the amphitheater was built on some of the highest terrain inhabited in that period, rendering it more observable from most directions.In fact, the Rocca Pia used this site for the same reasons in the 15 th c. 115 While not located along the Via Tiburtina, it profited from major secondary roads.To its west, several routes intersected, forming an alternate path to the city center.Significantly, this offered the most direct route to Hadrian's Villa from the city, as well as to most of the region's largest and most luxurious villas, ranged along Monte Ripoli's western slopes.As it approached Tibur's city gate, it curved to the north, passing the amphitheater's widest façade.Travelers may also have chosen to bypass the city altogether, heading east along the road that likely passed south of the amphitheater, crossing an Anio bridge to reach the Via Valeria.Thus, in addition to the regular flow between Rome and regions to the east, members of the Roman elite, potentially even the emperor, may have passed the amphitheater on their way to or around the civic center.
The amphitheater also served to integrate Tibur's suburban district into its older urban core, and the 1st-c.BCE suburban sanctuary of Hercules Victor.As processions of gladiators, musicians, animals, civic magistrates, and attendants preceded many games, we can imagine these originating in the forum and proceeding along the intramural street network towards one of the southern gates in the amphitheater's direction. 116Local iuvenes organizations, paramilitary youth groups, likely used amphitheaters and theaters for exercises Commentaries of Pius II, 5.26.6:Iecit igitur e vestigio fundamenta in sublimiori urbis loco, ubi veterem fuisse ruinae adhuc extantes indicabant.("Therefore, he immediately laid foundations in the higher part of the city, where still extant ruins indicated the old fortress had been.")The visible remains may belong to the amphitheater, converted into a fortress in the 13th c. and displays, possibly even games, involving animal hunts, fencing, and horseback riding. 117Tibur's association became affiliated with Hercules by the 2nd c., then acquired a connection with the imperial cult in the Severan period. 118Its members may have used a processional route that linked the theater within the sanctuary of Hercules to the amphitheater. 119Due to the local topography, such a procession would have had to pass through the city's monumental center.The amphitheater's visual impact could have extended well beyond the city's immediate environs.Due to its elevation, Tivoli is often visible from Rome today.Although dependent on atmospheric conditions, Tivoli's white buildings are frequently conspicuous on the horizon from points in Rome.As attested in Augustan and earlier literature, such was the case even in antiquity, when the city covered less area and had no tall apartment buildings.Strabo (5.3.11)lists Tibur, along with Praeneste and Tusculum, as cities "in sight" (ἐν ὄψει) of viewers in the capital.Horace (Odes 3.29) alludes to Maecenas on his Esquiline estate longingly looking out at Tibur, likely from his tower. 120Propertius (3.16.3-4) mentions his lover Cynthia calling him to Tibur from business in Rome, "where white rooftops show twin towers" (candida qua geminas ostendunt culmina turres), probably referring to a Tiburtine villa visible from the capital. 121Cicero (De or.2.263, 2.276) also mockingly describes Metellus Numidicus's Tiburtine villa, which was visible from Rome's Esquiline Gate, criticizing its ostentatious size.

Methods: visibility analysis
Amphitheaters' visual dominance is often cited as a motivating factor for their placement along road networks, yet this is typically expressed in impressionistic terms rather than through a calculated viewshed. 122Given the complexity of the terrain surrounding Tibur, visibility analysis permits a more precise measurement of the visual dynamics for travelers moving along these networks.A digital model allows us to interrogate features of the archaeological landscape that no longer exist without the need for a comprehensive reconstruction of all its, largely unrecoverable, aspects. 123Nevertheless, viewshed analysis is not without limitations and requires an evaluation of several variables to render meaningful results. 124irst, the amphitheater's original height must be estimated, which is difficult given its poor preservation.By examining better-preserved comparanda of similar size, a feasible range for Tibur's vertical façade can be established (Table 1).Casinum's amphitheater, for example, approximates the external dimensions of Tibur's closely and preserves an 18 m façade at its maximum. 125Alternatively, virtual reconstructions of Tarraco's larger amphitheater estimate heights of about 15 to 18 m. 126The size of their arenas, however, varies in proportion to their total footprint, which corresponds to different cavea widths.Therefore, applying the seating rake along Tibur's cavea width is perhaps a more accurate method, but angles vary between the ima, media, and summa cavea. 127Furthermore, the external wall rose higher than the top step of the summa cavea, and the podium wall height must also be accounted for.Jean-Claude Golvin estimated minimum heights by applying an average cavea slope of 35°to cavea width, plus the average podium height of 2.63 m, which would suggest Tibur's façade was 12 m tall (13.5 m cavea width), not including extra height above the summa cavea. 128Casinum's external wall extends more than 7 m above the summa cavea, a substantial height that would be missing if only the average rake of 28°was considered. 129This method would estimate Casinum's height to be just under 12 m, a cautionary reminder that these figures are indeed minima.Architectural ratios offer yet another method (Table 2).Unfortunately, there are no standard ratios of amphitheater height to other dimensions, such as arena width or major axis length. 130hese vary widely in the best-preserved examples and produce broad variance when applied to Tibur, with improbable maximum heights.Nevertheless, collectively, these figures provide a conservative feasible range for Tibur's original façade elevation: a minimum of 12 and maximum of 18 m.The underlying Digital Elevation Model's accuracy and resolution also impact visibility analysis.For this study, a 1 m filtered Digital Terrain Model (DTM) from the Ministero dell'ambiente e della tutela del territorio e del mare was used. 131Derived from LiDAR, this DTM offers high resolution elevation data; however, its current coverage extends only along the Aniene valley, including Tivoli's urban center.TINITALY data, with 10 m  (Frontoni 1997, 125-26).Calculated by height = width x Tan(35).
129 Measured from Tanzilli's (2004, 99, fig.4)  resolution, encompasses the entire region, and was substituted in zones lacking higherresolution coverage. 132pically, visibility analysis outputs a simplistic binary viewshed, denoting areas as visible or not visible.This fails to account for several crucial factors, such as the viewed object's size, the observer's visual acuity, lighting and atmospheric conditions, color difference, contrast, shape, and interference from vegetation and other built structures in the landscape. 133Furthermore, seasonal changes would greatly affect the landscape's background color and the degree of obstruction by leaves.A DTM represents a bare earth surface, devoid of buildings and vegetation, not an accurate reconstruction of the complete ancient landscape.Moreover, in highly urbanized areas of Italy, such as Tivoli, the filtering algorithms used to prepare the data fail to completely remove the anthropogenic impact of terracing, paving, and large building footprints.Various techniques have been developed to account for these uncertainties in visibility analysis, such as probabilistic, fuzzy, or tiered Higuchi viewsheds, which aim to quantify the theoretical potential for visibility through the landscape. 134These consider inaccuracies in the elevation model, the limits of human vision, and differences in visual acuity between individuals, as well as numerous other factors that impact human perception.Dennis Ogburn, for example, extrapolating from Peter Fisher, defined a fuzzy viewshed by implementing a decay factor (ranging from 1 to 0) to represent the decreased visibility of objects or features in the landscape with increased distance.Many methods are based on visual angle calculations, which are a factor of the viewed object's size and distance from the observer's eyes.Still others have approached the limitations of viewshed analysis by embedding interpretation within more nuanced theoretical frameworks, such as affordances (i.e., the relational possibilities offered by the environment to human agents with varied abilities and culturally mediated knowledge), seeking to directly engage critiques arising within landscape phenomenology. 135ile not every shortcoming is addressed here, two methods were implemented to account for the amphitheater's apparent visible size in the landscape.An object's apparent visible size is a factor of the most stable variablesdistance, height, width, and topography and can therefore be quantified most reliably.First, given the amphitheater's location near a ridge, it would become progressively obscured by the hillside as a traveler approached the city along the Via Tiburtina, leaving increasingly smaller slivers of its vertical façade visible.A cumulative viewshed was constructed in ArcGIS using 16 points placed along the amphitheater's perimeterone at each axis and three equidistant points between these.
The cumulative result was binarized to values of 0 or 1 to indicate areas of the landscape in which any amphitheater section was visible.To determine the limits where every meter of its façade disappeared below the hill, the visibility analysis was then iterated using a constant 1.65 m landscape offset to approximate average human height, but amphitheater offsets diminishing by one meter each run, starting from the maximum of 18 m. 136The resultant viewsheds were summed in a single raster whose value represents the visible amphitheater height in meters (Fig. 5).
For apparent size, rather than using arbitrary scales derived from fuzzy logic or indices based on modified Higuchi viewsheds, the actual visual angles subtended (θ), in both the horizontal and vertical directions, were calculated according to equation (1): where S is the amphitheater's size in either width or height and D is its distance from the viewer (Fig. 6A).Vertical angles were calculated using its reconstructed height, factoring in its occlusion by the hillside as in figure 5. Horizontal angles are dependent upon the amphitheater's width, but this varies with the angle viewed.Assuming the amphitheater was a true ellipse, its visible width (VW) can be calculated as its diameter when seen from any direction using equation ( 2): where w is the angle relative to the viewer and the amphitheater's minor axis, a is its semimajor axis length (i.e., half its major axis length), and b its semi-minor axis length (Fig. 6B).At close distances, the amphitheater's widest façade is only visible at angles near perpendicular to its major axis, however, these fan outwards further away (Fig. 7).Consequently, even at Rome's Esquiline Gate, 79 m of the amphitheater's full width was visible, despite being oriented some 32°away from perpendicular to its major axis.Thus, the amphitheater's orientation quantitatively improves visibility from the west, especially along the Via Tiburtina, while the civic center was on the receiving end of its least expansive aspect.
Visual angles can be related to real world objects at known distances.For example, an individual's thumb held at arm's length is about 2°wide, while the full moon is a quarter of this width (about 30 ′ ).The Colosseum's height viewed from 50 m is about 52°, a significant proportion of an individual's full vertical field of view (120-130°). 137The conventional limit of human vision for an individual with 20/20 eyesight is 1 ′ of visual angle, but this represents minimal discernment under optimal conditions, such as the ability to differentiate the strokes and spaces of the smallest letters on an eye chart, not significant visual dominance.Ogburn's fuzzy viewshed characterized 1 ′ as the cutoff point at which some people could perceive an object in the landscape in perfect circumstances, with a fuzzy value of .33,but even larger angles would push the limits of human vision in the real world.Tibur's amphitheater, assuming its entire façade was white travertine, would contrast well enough with a blue sky on a sunny day, but likely blend into a clouded or hazy horizon. 138Using a fuzzy viewshed, an 18 m-tall façade would be considered potentially visible as far as 61 km away (where it subtends to 1 ′ ), which strains credulity.Actual angles facilitate more transparent interpretations of potential visibility, yet varying amphitheater angles in either the horizontal or vertical dimensions complicate this analysis.
Objects can also be measured using a single quantity, solid angle (Ω), that accounts for its total visible surface area in both directions.This was calculated using equation ( 3 where a is the amphitheater's horizontal angle subtended (degrees) and b its vertical angle (degrees), as calculated by equation (1) (Fig. 6C).The output in steradians was converted to square degrees by multiplying by (180/π) 2 .This quantity is often referred to as visual magnitudethe extent (deg 2 ) a particular object occupies in the field of view. 140It is often applied to assess the impact of landscape modifications, such as clearcutting, the 138 Shang and Bishop (2000) found both contrast (grayscale) and apparent size were important factors in experimental detection and recognition of towers and oil tanks in the landscape.
placement of wind turbines, telecommunications towers, and other infrastructure, or as a measure of general landscape aesthetics. 141evious studies have sought to define thresholds based on visual angles and visual magnitude for detection and recognition of structures, landforms, and people within the landscape.In controlled image viewing tests, Haidong Shang and Ian Bishop found an object's size, shape, and contrast with its background fundamentally impact the magnitude at which it can be observed. 142Half or more observers with no prior knowledge of the objects to be spotted (a tower and gas tank) detected them at 8.5 min 2 (i.e., a fractional unit of solid angle equivalent to 1/3600 of deg 2 ) if there was strong contrast, but required 48 min 2 under lighter contrast.However, they could only correctly identify them at 48 min 2 with strong contrast and 247 min 2 with weak contrast.Observers who were, on the other hand, directed to detect towers and tanks required only 14 min 2 and 105 min 2 under high and low contrast, respectively.Interestingly, contrast type was also decisive.Objects that were brighter than their background were detected at much smaller sizes than the opposite, as low as 5 min 2 for uninformed observers with strong contrast.This suggests the amphitheater's potential detection and recognition in the landscape would have varied depending on atmospheric conditions and season, not to mention an observer's expectation of seeing an amphitheater ornamenting the city.
Pastor Fábrega-Álvarez and César Parcero-Oubiña conducted an empirical field study to determine distances at which human walkers could be not just merely detected but recognized and identified under ideal conditions of weather and contrast (defined as the Individual Distance Viewshed [IDV]). 143Though based on subjects much smaller than monumental architecture, these thresholds nonetheless provide useful proxies for when fine details of a structure would become apparent to a viewer.First detection, the level at which an unidentified object can be distinguished, occurred between 2550 and 2100 m.Using equation (1) and assuming an individual 1.65 m tall, this subtends to a vertical angle between 2 ′ 13 ′′ and 2 ′ 42 ′′ , more than the widely cited 1 ′ limit.Human being recognition only occurred at 1250 to 975 m, or 4 ′ 32 ′′ to 5 ′ 49 ′′ .Basic elements of clothing and limbs were identified around 600 m (9 ′ 27 ′′ ), while more detailed identification, such as hair color, appeared at 225 m (ca. 25 ′ ).Full identification of individualistic features only took place at about 60 m (1°34 ′ ).These thresholds can be compared to Haidong Shang and Ian Bishop ′ s by assuming an average elbow-to-elbow breadth of 50 cm for horizontal angles and calculating solid angles according to equation (3). 144First detection, falling between 1.5 and 2.2 min 2 , is lower than Shang and Bishop's minimum of 5 min 2 with strong light-on-dark contrast.Human recognition, 6 to 10 min 2 , falls within their range for detection under strong contrast.More detailed identification occurred at 27 and 193 min 2 , respectively, which also compares favorably to Shang and Bishop's uninformed thresholds for identification (48-247 min 2 ).Full identification was achieved around 2,700 min 2 , but this level of detail is likely unnecessary when considering the basic identification of an architectural building type.
Another common set of thresholds is often employed in studies of potential visual impacts of planned infrastructure and mining. 145These analyses are less focused upon basic detection.Instead, they seek to characterize an individual's perception of visual interruption in the landscape caused by these targets.As such, they define larger qualitative thresholds.Distinguishing between horizontal and vertical visual angles, they are based on an observer's field of view (FOV). 146For horizontal angles, an object is considered insignificant if it occupies less than 2.5°, or 5%, of an individual's central horizontal field of binocular focus (about 50°).Above this threshold, it is classified as "potentially noticeable" until 30°, or 60%, of the central field of focus, after which it is considered "potentially visually dominant."For vertical angles, the values are much smaller as only the "natural" 10°l ine of sight is considered, resulting in thresholds at 0.5°(5%) and 2.5°(25%).Pastor Pardo-García and César Mérida-Rodríguez extrapolated visual magnitude thresholds using the corresponding horizontal and vertical angles: 1.25 deg 2 and 75 deg 2 . 147Unlike Shang and Bishop's or IDV thresholds, based on empirical data, these values are strictly qualitative and useful for general assessment only.Moreover, there is no agreed standard human FOV for analysis, so the resultant percentages or ratios of perceived object areas vary widely in different studies. 148Numerous other factors, such as visual exposure (i.e., the amount of occlusion caused by intervening features) and height ratio (i.e., the degree to which an object extends above the background horizon), also impact viewer perceptions. 149Human response and sensitivity to such stimuli are also culturally and even individually determined. 150spite their lack of uniformity, these thresholds provide a framework within which to interpret the potential visibility and visual impact of Tibur's amphitheater.Basic detection, but not identification, could occur at values as low as 2 ′ or 1.5 min 2 , but building recognition would probably require around 5 ′ or 6 to 10 min 2 .Amphitheater identification would likely coincide with 25 ′ or as little as 14 to 27 min 2 under perfect conditions, while full identification should be expected above 1.5°or 2,700 min 2 .The point at which the amphitheater constituted a significant visual landmark, however, is far more subjective, and would likely have required much larger viewing angles, at a minimum, 0.5°vertically or 1.25 deg 2 .

Results and discussion
The amphitheater's viewshed is overwhelmingly oriented to the west, with most visibility in other directions severely hindered by the tall ranges of the Monti Tiburtini, except for a narrow band near Tibur.Within this western expanse, steep ravines carved by small tributaries of the Aniene River periodically block views, while elevated volcanic ridges afford clear sightlines.Closer to Tibur, the Acque Albule basin, an ancient travertine 145 E.g., Graham-Higgs et al. 2009, B1-B7; Haack et al. 2013, Appendix A.   146   Based on FOV standards as defined in Panero and Zelnick 1979.147   Pardo-García and Mérida-Rodríguez 2017, 60-61.1.25 deg 2 erroneously cited as 12.5 deg 2 in Table 2. 148 E.g., Rodrigues et al. (2010) indexed a ratio of visual magnitude to that of a half sphere, while Minelli et al. (2014) devised a dimensionless ratio of perceived object area to a "static" FOV area.FOV as in n. 145 above only considers a fraction of total human FOV.149 Palmer 2022, 3; Garrido-Velarde et al. 2018; Sullivan and Meyer 2014, 42-50.150   Sullivan 2020.
Measuring the visual impact of Tibur's amphitheater 25 https://doi.org/10.1017/S1047759424000059Published online by Cambridge University Press quarry still in use, forms a series of depressions in an otherwise large alluvial plain with good visibility.The viewshed is abruptly terminated 2 to 1.6 km from the city as the amphitheater recedes below the slopes of Monte Ripoli, on which it was located.In total, the amphitheater was observable along 61% of the 27 km of the Via Tiburtina between the Porta Esquilina in Rome and the Porta Maggiore in Tibur.
The calculated horizontal angles confirm that the amphitheater was technically visible from as far as Rome, subtending to 10.5 ′ at the Esquiline Gate, 25.6 km away (Fig. 8). 151his surpasses IDV's threshold for recognition, suggesting a viewer, in ideal conditions, could not just detect an object in the distance, but already recognize the structural type of an amphitheater.Moving east from Rome, at 11 km away the subtended angle surpasses 25 ′ , enabling more detailed recognition in which individual features of its façade, such as columns or arcades, may have been visible.Just under 3 km from the amphitheater, the horizontal angle surpassed the threshold for full identification (1°34 ′ ) where all its structural details were discernible.However, these measures do not yet meet the qualitative levels for significance.It is at this point the effects of Tibur's elevation have a negative impact.At 12 m tall, the façade would have disappeared below the horizon at a distance of around 2 km, just before the 2.5°threshold for potential noticeability was surpassed.An 18 m-tall façade would have been visible until 1.8 to 1.6 km away, barely reaching 2.5°.Therefore, the amphitheater only achieved potential visual significance in the final approaches along the Via Tiburtina, just as it disappeared altogether in the final kilometer and a half.
In the vertical direction, the amphitheater presents a much shorter length and is more susceptible to landform obstruction, with greater variance between the minimum and maximum height estimates (Figs. 9, 10).Yet, vertical angles are in general more sensitive to visual significance because of tall structures' propensity to rise above the horizon. 152From the Esquiline Gate, only an 18 m-tall façade meets the criteria for basic detection, not recognition, at 2 ′ 25 ′′ .A 12 m-tall amphitheater would be beyond detection (1 ′ 36 ′′ ) and would only become detectable from about 18.6 km away.A traveler moving east on the Via Tiburtina would gradually be able to identify the building at 13 km and 9 km away, respectively, at the maximum and minimum height estimates, but would not reach full identification before it disappeared below the horizon near Tibur.In the final approach, it would even become unidentifiable again as more of its façade receded below the hill.
The difference in quality between horizontal and vertical angles makes interpretation of the amphitheater's visibility challenging.Accordingly, visual magnitude offers a superior measure as it incorporates both horizontal and vertical dimensions.It can also differentiate, using Shang and Bishop's thresholds, the distances at which more than half of travelers might have identified it, factoring in their expectation of seeing an amphitheater ornamenting Tibur's suburbs as well as varying environmental factors.At the Esquiline Gate, the maximum and minimum spread is 25.5 to 17 min 2 , respectively (Figs. 11, 12).This suggests  an 18 m-tall amphitheater would have been minimally identifiable to those consciously looking for it only under ideal conditions, such as strong contrast and a clear atmosphere, while a 12 m amphitheater would have been merely recognizable.From about 18.8 to 15.4 km (48 min 2 ), the amphitheater would have become detectable even under adverse low contrast conditions, while viewers unfamiliar with the amphitheater's presence may have identified it under high contrast.From 12.7 to 10.3 km (105 min 2 ), it would become identifiable to observers looking for it under low contrast situations, while between 8.3 and 6.8 km (247 min 2 ) even the uninformed observer could have identified it in these same poor conditions.On the qualitative scale, however, neither the maximum nor the minimum height estimate would have achieved potential noticeability (1.25 deg 2 ) on any stretch of the Via Tiburtina before entering the city itself, leaving in doubt the amphitheater's hypothetical impact on the city's self-presentation to suburban audiences (Figs. 13, 14).Moreover, the amphitheater was not visible at all from Hadrian's Villa, nor from many of the elite villas occupying Monte Ripoli's slopes.Nonetheless, its north-to-south orientation did stretch its visibility much further towards the west than had the builders aligned it east to west.
While the route along the Via Tiburtina from Rome may not have commanded attention, the amphitheater's presence would certainly have had a visual impact on travelers approaching along the Via Valeria from the east, or those using more southerly alternate routes from the west.Its apparent size crossed the 2.5°threshold for potential noticeability almost 1.5 km to the southeast on the Via Valeria, and it would have remained in view, possible obstruction by other structures notwithstanding, the entire way to the civic center.Travelers heading for Rome may also have chosen to bypass the city using a bridge across the Anio River to the south.Here they would have confronted the amphitheater's widest axis, passing just to its south through the zone of potential visual dominance (> 75 deg 2 ).Interestingly, from the opposite direction, this alternate route would have presented the amphitheater as a conspicuous monumental surprise as one approached the city's southern suburbs.Travelers coming from Hadrian's Villa or other elite villas dotted along Monti Ripoli's western slopes would not have seen the amphitheater at all before climbing the hill.Once there, however, no observer would have failed to notice its visually dominant façade as they either turned north to enter the city, passing the amphitheater's western major axis, or continued to its south to bypass Tibur and merge with the Via Valeria across the river.This ensured both major routes to the city from Rome were monumentalized.Along the Via Tiburtina, as the amphitheater disappeared below the hillside, the viewer's focus turned to the sanctuary of Hercules Victor with its via tecta, which had long defined the city's monumental entrance.Those approaching along the southern route, however, perhaps purposefully avoiding the covered passageway underneath the temple, or using the most direct route from the luxury villas adjacent to the imperial estate, would now be presented with the second-largest urban structure in the cityits amphitheater.

Conclusion
The rationale behind permanent amphitheater construction in Roman Italy was multifaceted and complex.While benefactors may have anticipated certain communal economic benefits, considerations of urban status and their role in negotiating social hierarchies must also have loomed large.As argued, a close examination of local context, including its topographic, socio-political, and visual dimensions, offers one method to untangle these varying factors.As the largest municipal building project in two centuries, concurrent with the massive new imperial estate in its territory, Tibur's amphitheater must be examined within the dynamics of the city's mutable and liminal civic status, simultaneously peripheral and autonomous, yet also thoroughly absorbed into the capital's orbit.
The suburban location of Tibur's amphitheater was not unexpected in an old and densely developed settlement.Yet, it also functioned to integrate the city's expanded suburban district into its older urban core through processions and more informal movement along its extramural road network.Furthermore, it must be stressed that, although hindered by complex terrain with river gorges and steep gradients, municipal authorities chose a previously developed location from which the structure would be visible for a considerable distance, rather than a downhill locale on flatter land.Its architects counterintuitively oriented its major axis into the rising hillside to the south, exposing its widest flank to the vast vista to the west along the Via Tiburtina, while also facing its continuation, the Via Valeria, to the east.Thus, purposefully or merely fortuitously, the city's urban status was reinforced for external audiencesincluding the emperor and the imperial elite in the region's villas, and the thousands of inhabitants in Rome and the suburbium.As a potent symbol of Roman urban culture, the amphitheater clearly delineated the civic center from the crowded mass of villas and suburban structures that covered Rome's environs.It ensured all routes into the city or around it from the direction of the capital offered monumental architecture to the traveler, especially the alternate route to the civic center that may have gained especial importance with the construction of Hadrian's Villa.Rather than relying on impressionistic description, viewshed analysis, incorporating techniques developed in landscape management and visual impact assessment, provides quantifiable measures of not just potential visibility, but also the visual dominance of monumental architecture in the ancient landscape.Similar methods could be applied to the dozens of other Roman amphitheaters for which visual prominence has been suggested, or 3D visualizations could further refine our understanding of the interplay between the various factors that affected visibility, such as atmosphere, light, color, seasonality, and interference from vegetation and other structures. 153

Table 2 .
Architectural ratios for estimating façade height 132Tarquini et al. 2007.All subsequent analyses were run on both DTMs with the results clipped to exclude TINITALY data where the 1 m DTM was available.