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  • W. Derek Hamilton (a1) and Anthony M. Krus (a1)
  • Please note a correction has been issued for this article.

We review the history of Bayesian chronological modeling in archaeology and demonstrate that there has been a surge over the past several years in American archaeological applications. Most of these applications have been performed by archaeologists who are self-taught in this method because formal training opportunities in Bayesian chronological modeling are infrequently provided. We define and address misconceptions about Bayesian chronological modeling that we have encountered in conversations with colleagues and in anonymous reviews, some of which have been expressed in the published literature. Objectivity and scientific rigor is inherent in the Bayesian chronological modeling process. Each stage of this process is described in detail, and we present examples of this process in practice. Our concluding discussion focuses on the potential that Bayesian chronological modeling has for enhancing understandings of important topics.

En este artículo se reseña la historia de la modelización cronológica bayesiana en arqueología y se demuestra que en los últimos años arqueología americana ha experimentado un auge en su aplicación. La mayor parte de los análisis han sido desarrollados por arqueólogos que son autodidactas en el aprendizaje del método, ya que las oportunidades de formación en el análisis bayesiano son muy limitadas. Se explica cuáles son los errores más comunes en la aplicación de la modelización cronológica bayesiana, algunas de los cuales ya han sido señaladas en otros trabajos, que hemos encontrado al conversar con compañeros y en revisiones anónimas. La objetividad y el rigor científico resultan inherentes al proceso de modelización cronológica bayesiana. Se describe en detalle cada etapa de este proceso, presentando ejemplos de su puesta en práctica. Nuestra conclusión se centra en torno al potencial de este método para mejorar nuestra comprensión sobre temas de gran relevancia.

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Baillie, Michael G. L. 1991 Suck-in and Smear: Two Related Chronological Problems for the 90s. Journal of Theoretical Archaeology 2:1216.
Bayes, Thomas 1763 An Essay Towards Solving a Problem in the Doctrine of Chances. Philosophical Transactions of the Royal Society of London 53:370418.
Bayliss, Alex 2009 Rolling Out Revolution: Using Radiocarbon Dating in Archaeology. Radiocarbon 51:123147.
Bayliss, Alex 2015 Quality in Bayesian Chronological Models in Archaeology. World Archaeology 47:677700.
Bayliss, Alex, and Bronk Ramsey, Christopher 2004 Pragmatic Bayesians: A Decade of Integrating Radiocarbon Dates into Chronological Models. In Tools for Constructing Chronologies: Crossing Disciplinary Boundaries, edited by Buck, Caitlin E. and Millard, Andrew R., pp. 2541. Springer-Verlag, London.
Bayliss, Alex, Bronk Ramsey, Christopher, van der Plicht, Johannes, and Whittle, Alasdair 2007 Bradshaw and Bayes: Towards a Timetable for the Neolithic. Cambridge Archaeological Journal 17:128.
Bayliss, Alex, van der Plicht, Johannes, Bronk Ramsey, Christopher, McCormac, Gerry, Healy, Frances, and Whittle, Alasdair 2011 Towards Generational Time-scales: The Quantitative Interpretation of Archaeological Chronologies. In Gathering Time: Dating the Early Neolithic Enclosures of Southern Britain and Ireland, edited by Whittle, Alasdair, Healy, Frances, and Bayliss, Alex, pp. 1759. Oxbow Books, Oxford.
Blaauw, Maarten, and Andres Christen, J. 2011 Flexible Paleoclimate Age-Depth Models Using an Autoregressive Gamma Process. Bayesian Analysis 6:457474.
Bronk Ramsey, Christopher 1995 Radiocarbon Calibration and Analysis of Stratigraphy: The OxCal Program. Radiocarbon 37:425430.
Bronk Ramsey, Christopher 1998 Probability and Dating. Radiocarbon 40:461474.
Bronk Ramsey, Christopher 2001 Development of the Radiocarbon Calibration Program. Radiocarbon 43:355363.
Bronk Ramsey, Christopher 2008 Deposition Models for Chronological Records. Quaternary Science Reviews 27:4260.
Bronk Ramsey, Christopher 2009a Bayesian Analysis of Radiocarbon Dates. Radiocarbon 51:337360.
Bronk Ramsey, Christopher 2009b Dealing with Outliers and Offsets in Radiocarbon Dating. Radiocarbon 51:10231045.
Bronk Ramsey, Christopher 2017 OxCal 4.3 Manual. Electronic document,, accessed September 9, 2017.
Buck, Caitlin E., Cavanagh, William G., and Litton, Clifford D. 1996 Bayesian Approach to Interpreting Archaeological Data. John Wiley and Sons, Chichester, England.
Buck, Caitlin E., Andres Christen, J., and James, Gary N. 1999 BCal: An On-line Bayesian Radiocarbon Calibration Tool. Internet Archaeology 7. DOI:10.11141/ia.7.1, accessed September 9, 2017.
Buck, Caitlin E., Kenworthy, James B., Litton, Clifford D., and Smith, Adrian F. M. 1991 Combining Archaeological and Radiocarbon Information: A Bayesian Approach to Calibration. Antiquity 65:808821.
Buck, Caitlin E., and Meson, Bo 2015 On Being a Good Bayesian. World Archaeology 47:567584.
Christen, J. Andres 1994 Summarizing a Set of Radiocarbon Determinations: A Robust Approach. Journal of the Royal Statistical Society. Series C (Applied Statistics) 43:489503.
Conneller, Chantal, Bayliss, Alex, Milner, Nicky, and Taylor, Barry 2016 The Resettlement of the British Landscape: Towards a Chronology of Early Mesolithic Lithic Assemblage Types. Internet Archaeology 42. DOI:10.11141/ia.42.12, accessed September 9, 2017.
Connolly, Robert P. 2000 An Assessment of Radiocarbon Age Results from the Poverty Point Site. Louisiana Archaeology 27:114.
Cook, Gordon T., Ascough, Philippa L., Bonsall, Clive, Derek Hamilton, W., Russell, Nicola, Sayle, Kerry L., Marian Scott, E., and Bownes, Jessica M. 2015 Best Practice Methodology for 14C Calibration of Marine and Mixed Terrestrial/Marine Samples. Quaternary Geochronology 27:164171.
Cook, Robert A., Comstock, Aaron R., Martin, Kristie R., Burks, Jarrod, Church, Wendy, and French, Melissa 2015 Early Village Life in Southeastern Indiana: Recent Field Investigations at the Guard Site (12D29). Southeastern Archaeology 34:95115.
Cowgill, George L. 2015a Some Things I Hope You Will Find Useful Even if Statistics Isn't Your Thing. Annual Review of Anthropology 44:114.
Cowgill, George L. 2015b We Need Better Chronologies: Progress in Getting Them. Latin American Antiquity 26:2629.
Crane, Horace Richard, and Griffin, James B. 1970 University of Michigan Radiocarbon Dates XIII. Radiocarbon 12 (1):161180.
Dean, Jeffrey S. 1978 Independent Dating in Archaeological Analysis. In Advances in Archaeological Method and Theory, edited by Schiffer, Michael B., pp. 223265. Academic Press, New York.
Denaire, Anthony, Lefranc, Philippe, Wahl, Joachim, Bronk Ramsey, Christopher, Dunbar, Elaine, Goslar, Tomasz, Bayliss, Alex, Beavan, Nancy, Bickle, Penny, and Whittle, Alasdair 2017 The Cultural Project: Formal Chronological Modelling of the Early and Middle Neolithic Sequence in Lower Alsace. Journal of Archaeological Method and Theory. DOI:10.1007/s10816-016-9307-x, accessed September 9, 2017.
Dye, Thomas S. 2011 A Model-based Age Estimate for Polynesian Colonization of Hawai'i. Archaeology in Oceania 46:130138.
Dye, Thomas S., and Buck, Caitlin E. 2015 Archaeological Sequence Diagrams and Bayesian Chronological Models. Journal of Archaeological Science 63:8493.
Garrow, Duncan, Gosden, Chris, Hill, J. D., and Bronk Ramsey, Christopher 2009 Dating Celtic Art: A Major Radiocarbon Dating Programme of Iron Age and Early Roman Metalwork in Britain. Archaeological Journal 166:79123.
Gelfand, Alan E., and Smith, Adrian F. M. 1990 Sampling-based Approaches to Calculating Marginal Densities. Journal of the American Statistical Association 85:398409.
Gilks, Walter R., Richardson, Sylvia, and Spiegelhalter, David J. 1996 Markov Chain Monte Carlo in Practice. Chapman and Hall, London.
Google Groups 2017 OxCal. Electronic document,!forum/oxcal, accessed September 9, 2017.
Guilderson, Tom P., Reimer, Paula J., and Brown, Tom A. 2005 The Boon and Bane of Radiocarbon Dating. Science 307:362364.
Hamilton, William Derek, Haselgrove, Colin, and Gosden, Chris 2015 The Impact of Bayesian Chronologies on the British Iron Age. World Archaeology 47:642660.
Hamilton, W. Derek, and Kenney, Jane 2015 Multiple Bayesian Modelling Approaches to a Suite of Radiocarbon Dates from Ovens Excavated at Ysgol yr Hendre, Caernarfon, North Wales. Quaternary Geochronology 25:7582.
Harris, Edward C. 1989 Principles of Archaeological Stratigraphy. Academic Press, London.
Haslett, John, and Parnell, Andrew C. 2008 A Simple Monotone Process with Application to Radiocarbon-Dated Depth Chronologies. Journal of the Royal Statistical Society: Series C (Applied Statistics) 57:399418.
Jay, Mandy, Haselgrove, Colin, Hamilton, Derek, Hill, J. D., and Dent, John S. 2012 Chariots and Context: New Radiocarbon Dates from Wetwang and the Chronology of Iron Age Burials and Brooches in East Yorkshire. Oxford Journal of Archaeology 31:161189.
Jones, Martin, and Nicholls, Geoff 2002 New Radiocarbon Calibration Software. Radiocarbon 44:663674.
Krus, Anthony M. 2016 The Timing of Precolumbian Militarization in the U.S. Midwest and Southeast. American Antiquity 81:375388.
Krus, Anthony M., Cook, Robert, and Hamilton, Derek 2015 Bayesian Chronological Modeling of SunWatch, a Fort Ancient Village in Dayton, Ohio. Radiocarbon 57:965977.
Kruschke, John K. 2014 Doing Bayesian Data Analysis. 2nd ed. Academic Press, Oxford.
Lanos, Philippe, Philippe, Anne, Lanos, H., and Dufresne, Philippe 2016 Chronomodel: Chronological Modelling of Archaeological Data using Bayesian Statistics (Version 1.5). Electronic document,, accessed September 9, 2017.
Lee, Sharen, and Bronk Ramsey, Christopher 2012 Development and Application of the Trapezoidal Model for Archaeological Chronologies. Radiocarbon 54:107122.
Lekson, Stephen H. 2015 The Chaco Meridian: One Thousand Years of Political and Religious Power in the Ancient Southwest. 2nd ed. Rowman and Littlefield, Lanham, Maryland.
Levy, Thomas E., Higham, Thomas, Ramsey, Christopher Bronk, Smith, Neil G., Ben-Yosef, Erez, Robinson, Mark, Münger, Stefan, Knabb, Kyle, Schulze, Jürgen P., Najjar, Mohammad, and Tauxe, Lisa 2010 High-precision Radiocarbon Dating and Historical Biblical Archaeology in Southern Jordan. Proceedings of the National Academy of Sciences 105:1646016465.
Lindley, Dennis V. 1985 Making Decisions. John Wiley and Sons, London.
McNutt, Charles H. 2013 Multi-Plots and Bayesian Analysis of Radiocarbon Dates with OxCal 4.2 for PC Dummies. Electronic document,!searchin/oxcal/McNutt/oxcal/PLuwUk9A-TI/BmyVY0ZGUpwJ, accessed September 9, 2017.
Michczyñski, Adam 2007 Is It Possible to Find a Good Point Estimate of a Calibrated Radiocarbon Date? Radiocarbon 49:393401.
Reuther, Joshua D., Wu, Yanhong, Craig Gerlach, S., Wang, Sumin, and Zhou, Liping 2005 Testing the Dicarb Problem: A Case Study from North Alaska. Radiocarbon 47:359366.
Riede, Felix, and Edinborough, Kevan 2012 Bayesian Radiocarbon Models for the Cultural Transition during the Allerød in Southern Scandinavia. Journal of Archaeological Science 39:744756.
Sayle, Kerry L., Derek Hamilton, W., Gestsdóttir, Hildur, and Cook, Gordon T. 2016 Modelling Lake Mývatn's Freshwater Reservoir Effect: Utilisation of the Statistical Program FRUITS to Assist in the Re-interpretation of Radiocarbon Dates from a Cemetery at Hofstaðir, North-East Iceland. Quaternary Geochronology 36:111.
Steier, Peter, and Rom, Werner 2000 The Use of Bayesian Statistics for 14C Dates of Chronologically Ordered Samples: A Critical Analysis. Radiocarbon 45:183198.
Tipping, Richard, Cook, Gordon, Mauquoy, Dmitri, Beresford, Aden, Hamilton, Derek, Harrison, John G., Jordan, Jason, Ledger, Paul, Morrison, Stuart, Danny Paterson, Russell, Nicola, and Smith, David 2014 Reconstructing Battles and Battlefields: Scientific Solutions to Historical Problems at Bannockburn, Scotland. Landscapes 15:119131.
Whittle, Alasdair, Bayliss, Alex, Barclay, Alistair, Gaydasrka, Bisserka, Bánffy, Eszter, Borić, Dušan, Draşovean, Florin, Jakucs, János, Marić, Miroslav, Orton, David, Pantović, Ivana, Schier, Wolfram, Tasić, Nenad, and Vander Linden, Marc 2016 A Vinča Potscape: Formal Chronological Models for the Use and Development of Vinča Ceramics in South-East Europe. Documenta Praehistorica 43:154.
Zeidler, James A., Buck, Caitlin E., and Litton, Clifford D. 1998 Integration of Archaeological Phase Information and Radiocarbon Results from the Jama River Valley, Ecuador: A Bayesian Approach. Latin American Antiquity 9:160179.
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