Temporal uncertainty and artefact chronologies Computer Applications and Quantitative Methods in Archaeology: Session: Embracing uncertainty in archaeology Southampton, 28 March 2012 Andrew Bevan (with contributions from many colleagues) UCL Institute of Archaeology Chronology and Periodisation • • Lots of work emerging in other disciplines about space-time analysis and how to handle uncertainties associated with the timing of events Archaeological time poses its own peculiar challenges… a native archaeological tradition associated with radiocarbon dating (and mapping) but the handling of categorical dates now increasingly considered as well Aoristic Analysis • A probability of presence of an event, site, artefact is assigned to a series of time-block, usually based on defining start and end dates, with a uniform distribution in between. • Works well for existing archaeological datasets and supports Monte Carlo simulation • Typically, done long after data collection, when some information is already lost … • Aoristic time-blocks are often equal and absolute … …mixes up the uncertainty of attribution to a time period (a relative scale) with the fixing of this period in absolute units (e.g. to a range in years BCE) • Ratcliffe 2000 Int. J. GIS Johnston 2003. CAA Crema, Bevan, Lake 2010 J. Archaeological Science Crema in press J. Archaeological Method and Theory Intensive Surface Survey on Antikythera • • • Directed by Andrew Bevan (UCL) and James Conolly (Trent University, Canada), in collaboration with Aris Tsaravopoulos (Greek Archaeological Service) Stage-one survey by walkers spaced 15m apart Stage-two survey of certain localities on a 10x10 grid. Uncertainty in Assigning an Artefact to a Period Jar handle Initial impression of date: “possibly Hellenistic…more likely Late Roman…but not in between” Perhaps recorded in a traditional database as: “Late Roman”, “Late Roman?” or “Late Roman/?Hellenistic” An alternative is “percentage confidence”… 30% Hellenistic, 70% Late Roman Bevan, Conolly, Hennig, Johnston, Quercia, Spencer, Vroom in press. Archaeometry Diagnostic Confidence by Period First or Second Palace Late Roman Mapping Diagnostic Confidence Sherds with ≥70% confidence of being Middle Byzantine (c.1000-1200 AD) Sherds with ≥20% confidence of being Middle Byzantine (c.1000-1200 AD) Sherds with ≥70% confidence of being Middle Byzantine to Early Venetian (c.1000-1400 AD). Mapping Diagnostic Confidence All possible candidate sherds for a Middle Roman date (i.e. >0% confidence), Close-up (diameter 600m) with percentage confidences of Middle Roman date shown as graduated colours overlain on all other sherds (in grey) Overall Uncertainty n Uj = ∑ min( Pij ,maxk ≠j ( Pik )) i =1 € n ∑P i =1 ij Example for period 2: (40+10+0+20+0) / (40+10+0+20+0) = 1 and for period 3: (40+10+0+20+0) / (50+10+0+20+100) = 0.389 Pairwise Uncertainty n Ujk = ∑ min( Pij ,Pik ) × 2 ( Pij + Pik ) i =1 € Example for period 2 and 3: (40+10+0+20+0) x 2 / (90+20+0+40+100) = 140/250 = 0.56. First or Second Palace Late Roman Local Uncertainty Relative chances of defining Middle Roman dates compared to Early and Late Roman Wider Implications for Archaeological Fieldwork • Observer Variability – ability to explore intra- and inter-observer variability • Permanent Collection – ability to demonstrate added value of the collection and long-term storage of artefact assemblages. • Physical Re-investigation – can be used to design strategies for new fieldwork • Regional Profiling – supports construction of a regional uncertainty profile and exploration of case-by-case departures from it. Thank you…. …and to those involved in… The Antikythera Survey Project www.ucl.ac.uk/asp …and on behalf of ASP to… The Greek Ministry of Culture The Canadian Institute in Greece Datasets available as ADS Collection 1115 http://dx.doi.org/10.5334/4f3bcb3f7f21d