Bayesian analysis of radiocarbon dates
Reads0
Chats0
TLDR
An overview of the main model components used in chronological analysis, their mathematical formulation, and examples of how such analyses can be performed using the latest version of the OxCal software (v4) are given.Abstract:
If radiocarbon measurements are to be used at all for chronological purposes, we have to use statistical methods for calibration. The most widely used method of calibration can be seen as a simple application of Bayesian statistics, which uses both the information from the new measurement and information from the 14C calibration curve. In most dating applications, however, we have larger numbers of 14C measurements and we wish to relate those to events in the past. Bayesian statistics provides a coherent framework in which such analysis can be performed and is becoming a core element in many 14C dating projects. This article gives an overview of the main model components used in chronological analysis, their mathematical formulation, and examples of how such analyses can be performed using the latest version of the OxCal software (v4). Many such models can be put together, in a modular fashion, from simple elements, with defined constraints and groupings. In other cases, the commonly used "uniform phase" models might not be appropriate, and ramped, exponential, or normal distributions of events might be more useful. When considering analyses of these kinds, it is useful to be able run simulations on synthetic data. Methods for performing such tests are discussed here along with other methods of diagnosing possible problems with statistical models of this kind.read more
Citations
More filters
La transición del Paleolítico medio al superior en Asturias. El abrigo de la Viña (La Manzaneda, Oviedo) y la cueva de El Sidrón (Borines, Piloña)
TL;DR: In this article, the authors revisar los modelos cronologicos y culturales sobre the transicion del Paleolitico medio al superior in Europe constituye, in muchos sentidos (antropologia, tecnologias litica and osea, simbolismo and in menor medida estrategias de subsistencia and explotacion del territorio), un punto de inflexion in the evolucion cultural of the peninsula Iberica.
Journal ArticleDOI
The origins and development of Zuwīla, Libyan Sahara: an archaeological and historical overview of an ancient oasis town and caravan centre
TL;DR: A detailed consideration of the relevant historical and archaeological data, together with new AMS radiocarbon dates from several key monuments at Zuwīla in southwestern Libya is presented in this paper.
Journal ArticleDOI
Short-term variations in slip rate and size of prehistoric earthquakes during the past 2000 years on the northern San Jacinto fault zone, a major plate-boundary structure in southern California
TL;DR: In this paper, the authors presented four calculations of late Holocene slip rate and average slip per event from the Claremont fault of the northern San Jacinto fault zone that show variations in strain distribution over the past 2000 yr.
Dissertation
Health status in Lowland Medieval Scotland : a regional analysis of four skeletal populations
TL;DR: In this paper, the authors present a Declaration and a Table of Table of Contents for the first time, and present a Table-of-Speech (TOC) for the second time.
Journal ArticleDOI
New Pathways of Sociopolitical Complexity in Southern Africa
TL;DR: A recent reexamination of the relationship between these settlements and related ones using local ceramics, imported artefacts, stone architecture and Bayesian modelling suggests this may not have been the case as mentioned in this paper.
References
More filters
BookDOI
Markov Chain Monte Carlo in Practice
TL;DR: The Markov Chain Monte Carlo Implementation Results Summary and Discussion MEDICAL MONITORING Introduction Modelling Medical Monitoring Computing Posterior Distributions Forecasting Model Criticism Illustrative Application Discussion MCMC for NONLINEAR HIERARCHICAL MODELS.
Journal ArticleDOI
Extended 14C Data Base and Revised Calib 3.0 14C Age Calibration Program
Minze Stuiver,Paula J. Reimer +1 more
TL;DR: The age calibration program, CALIB (Stuiver & Reimer 1986), first made available in 1986 and subsequently modified in 1987 (revision 2.0 and 2.1), has been amended anew as mentioned in this paper.
Journal ArticleDOI
Sampling-Based Approaches to Calculating Marginal Densities
TL;DR: In this paper, three sampling-based approaches, namely stochastic substitution, the Gibbs sampler, and the sampling-importance-resampling algorithm, are compared and contrasted in relation to various joint probability structures frequently encountered in applications.
Journal Article
Sampling-based approaches to calculating marginal densities
TL;DR: Stochastic substitution, the Gibbs sampler, and the sampling-importance-resampling algorithm can be viewed as three alternative sampling- (or Monte Carlo-) based approaches to the calculation of numerical estimates of marginal probability distributions.
Journal ArticleDOI
Characterizing aquatic dissolved organic matter.
Minze Stuiver,Henry Polach +1 more
TL;DR: In this article, standards for reporting C-14 age determinations are discussed, and the statistical uncertainty (plus or minus one standard deviation) expresses counting errors, inaccuracies in voltage, pressure, temperature, dilution, and should include errors in C-13 ratios.
Related Papers (5)
IntCal13 and Marine13 radiocarbon age calibration curves 0-50,000 years cal BP
Paula J. Reimer,Edouard Bard,Alex Bayliss,J. Warren Beck,Paula G Blackwell,Christopher Bronk Ramsey,Caitlin E. Buck,Hai Cheng,R. Lawrence Edwards,Michael Friedrich,Pieter Meiert Grootes,Thomas P. Guilderson,Haflidi Haflidason,Irka Hajdas,Christine Hatté,Timothy J Heaton,Dirk L. Hoffmann,Alan G. Hogg,Konrad A Hughen,K Felix Kaiser,Bernd Kromer,Sturt W. Manning,Mu Niu,Ron W Reimer,David Richards,E. Marian Scott,John Southon,Richard A. Staff,Christian Turney,Johannes van der Plicht +29 more
IntCal13とMarine13放射性炭素年代較正曲線0-50,000年cal BP
Reimer Paula J,Bard Edouard,Bayliss Alex,Beck J Warren,Blackwell Paul G,Ramsey Christopher Bronk,Buck Caitlin E,Cheng Hai,Edwards R Lawrence,Friedrich Michael,Grootes Pieter M,Guilderson Thomas P,Haflidason Haflidi,Hajdas Irka,Hatte Christine,Heaton Timothy J,L Hoffmann Dirk,Hogg Alan G,Hughen Konrad A,Kaiser K Felix,Kromer Bernd,Manning Sturt W,Niu Mu,Reimer Ron W,Richards David A,Scott E Marian,Southon John R,Staff Richard A,Turney Christian S M,Van Der Plicht Johannes +29 more