Methods for Summarizing Radiocarbon Datasets
Open accessAbstract
Abstract Bayesian models have proved very powerful in analyzing large datasets of radiocarbon ( 14 C) measurements from specific sites and in regional cultural or political models. These models require the prior for the underlying processes that are being described to be defined, including the distribution of underlying events. Chronological information is also incorporated into Bayesian models used in DNA research, with the use of Skyline plots to show demographic trends. Despite these advances, there remain difficulties in assessing whether data conform to the assumed underlying models, and in dealing with the type of artifacts seen in Sum plots. In addition, existing methods are not applicable for situations where it is not possible to quantify the underlying process, or where sample selection is thought to have filtered the data in a way that masks the original event distribution. In this paper three different approaches are compared: “Sum” distributions, postulated undated events, and kernel density approaches. Their implementation in the OxCal program is described and their suitability for visualizing the results from chronological and geographic analyses considered for cases with and without useful prior information. The conclusion is that kernel density analysis is a powerful method that could be much more widely applied in a wide range of dating applications.
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A synthetic radiocarbon age of 2485±25 BP corresponds to ca. 586 calBC, with 95.4% confidence interval spanning >250 years (771-517 calBC) and 68.2% intervals ranging over 216 years (756-545 calBC).
“For example, S1 Fig displays the radiocarbon calibration curve of a synthetic radiocarbon age of 2485±25 Before Present (BP), which corresponds (by reverse calibration) to ca. 586 calibrated BC (calBC). The 95.4% confidence interval of the calibrated age spans over more than 250 years (771–517 calBC) and the 68.2% confidence intervals range over 216 years (756–545 calBC) [38, 39].”
From The Earth’s magnetic field in Jerusalem during the Babylonian destruction: A unique reference for field behavior and an anchor for archaeomagnetic dating (2020) · cites this paper as [39]
The ‘Demography of Prehistoric Ireland’ section discusses a calibration plateau around 800–400 BC, but does not give the claimed calibration of a synthetic 2485±25 BP age. Searches for 2485, 586, and the stated interval endpoints found no passage establishing the specific age or confidence intervals; the copy is not truncated. (LLM, conf=0.76)
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Cites
Density Estimation for Statistics and Data Analysis
Silverman, B. W. (2018) · Routledge eBooks · doi:10.1201/9781315140919 · Cited by 16,003 · see citing works
IntCal13 and Marine13 radiocarbon age calibration curves 0–50,000 years cal BP
Reimer, P. J., Bard, E., Bayliss, A., Beck, J. W., Blackwell, P. G., Ramsey, C. B., Buck, C. E., Cheng, H., Edwards, R. L., Friedrich, M., et al. (2013) · Radiocarbon · doi:10.2458/azu_js_rc.55.16947 · Cited by 14,591 · see citing works
Self-citationOn Estimation of a Probability Density Function and Mode
Parzen, E. (1962) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177704472 · Cited by 10,715 · see citing works
Bayesian Analysis of Radiocarbon Dates
Bronk Ramsey, C. (2009) · Radiocarbon · doi:10.1017/s0033822200033865 · Cited by 8,725 · see citing works
Density Estimation for Statistics and Data Analysis
(1986) · Springer eBooks · doi:10.1007/978-1-4899-3324-9 · Cited by 8,531 · see citing works
Markov Chain Monte Carlo in Practice
Gilks, W. R., Richardson, S. T., & Spiegelhalter, D. J. (1995) · Chapman & Hall/CRC eBooks · doi:10.1201/b14835 · Cited by 7,927 · see citing works
IntCal13とMarine13放射性炭素年代較正曲線0-50,000年cal BP
Reimer, P. J., Bard, É., Bayliss, A., Warren, B. J., Blackwell, P. G., Bronk, R., Buck Caitlin, E., Cheng, H., Lawrence, E. R., Michael, F., et al. (2013) · Radiocarbon · Cited by 5,676 · see citing works
Remarks on Some Nonparametric Estimates of a Density Function
Rosenblatt, M. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728190 · Cited by 4,628 · see citing works
High-resolution record of Northern Hemisphere climate extending into the last interglacial period
North Greenland Ice Core Project members (2004) · Nature · doi:10.1038/nature02805 · Cited by 3,349 · see citing works
A new Greenland ice core chronology for the last glacial termination
Rasmussen, S., Andersen, K. K., Svensson, A., Steffensen, J., Vinther, B., Clausen, H., Siggaard-Andersen, M., Johnsen, S., Larsen, L. B., Dahl-Jensen, D., et al. (2006) · Journal of Geophysical Research Atmospheres · doi:10.1029/2005jd006079 · Cited by 2,056 · see citing works
Markov Chain Monte Carlo in Practice
Gasparini, M., Gilks, W. R., Richardson, S. T., & Spiegelhalter, D. J. (1997) · Technometrics · doi:10.2307/1271145 · Cited by 1,881 · see citing works
Kernel density estimation via diffusion
Botev, Z. I., Grotowski, J. F., & Kroese, D. P. (2010) · The Annals of Statistics · doi:10.1214/10-aos799 · Cited by 1,689 · see citing works
Recent and Planned Developments of the Program OxCal
Ramsey, C. B., & Lee, S. (2013) · Radiocarbon · doi:10.1017/s0033822200057878 · Cited by 1,473 · see citing works
Self-citationRubin, D. B. (1981) · The Annals of Statistics · doi:10.1214/aos/1176345338 · Cited by 1,178 · see citing works
A 60 000 year Greenland stratigraphic ice core chronology
Svensson, A. M., Andersen, K. K., Bigler, M., Clausen, H., Dahl‐Jensen, D., Davies, S. M., Johnsen, S. J., Muscheler, R., Parrenin, F., Rasmussen, S. O., et al. (2008) · Climate of the past · doi:10.5194/cp-4-47-2008 · Cited by 1,110 · see citing works
Skyline‐plot methods for estimating demographic history from nucleotide sequences
Ho, S. Y. W., & Shapiro, B. (2011) · Molecular Ecology Resources · doi:10.1111/j.1755-0998.2011.02988.x · Cited by 482 · see citing works
The use of summed radiocarbon probability distributions in archaeology: a review of methods
Williams, A. N. (2011) · Journal of Archaeological Science · doi:10.1016/j.jas.2011.07.014 · Cited by 473 · see citing works
Rapid Early Development of Circumarctic Peatlands and Atmospheric CH 4 and CO 2 Variations
MacDonald, G. M. S. D., Beilman, D. W., Kremenetski, K. V., Sheng, Y., Smith, L. C., & Velichko, A. A. (2006) · Science · doi:10.1126/science.1131722 · Cited by 393 · see citing works
Timpson, A., Colledge, S., Crema, E. R., Edinborough, K., Kerig, T., Manning, K., Thomas, M., & Shennan, S. J. (2014) · Journal of Archaeological Science · doi:10.1016/j.jas.2014.08.011 · Cited by 332 · see citing works
Pleistocene to Holocene extinction dynamics in giant deer and woolly mammoth
Stuart, A. J., Kosintsev, P. A., Higham, T., & Lister, A. M. (2004) · Nature · doi:10.1038/nature02890 · Cited by 328 · see citing works
Bradshaw and Bayes: Towards a Timetable for the Neolithic
Bayliss, A., Ramsey, C. B., van der Plicht, J., et al. (2007) · Cambridge Archaeological Journal · doi:10.1017/s0959774307000145 · Cited by 310 · see citing works
Self-citationCalibration of radiocarbon results pertaining to related archaeological events
Buck, C. E., Litton, C. D., & Smith, A. F. M. (1992) · Journal of Archaeological Science · doi:10.1016/0305-4403(92)90025-x · Cited by 244 · see citing works
Contreras, D. A., & Meadows, J. (2014) · Journal of Archaeological Science · doi:10.1016/j.jas.2014.05.030 · Cited by 234 · see citing works
A Bayesian approach to bandwidth selection for multivariate kernel density estimation
Zhang, X., King, M. L., & Hyndman, R. J. (2005) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2005.06.019 · Cited by 190 · see citing works
Paleoindian demography and the extraterrestrial impact hypothesis
Buchanan, B., Collard, M., & Edinborough, K. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0803762105 · Cited by 118 · see citing works
Bamforth, D. B., & Grund, B. S. (2012) · Journal of Archaeological Science · doi:10.1016/j.jas.2012.01.017 · Cited by 108 · see citing works
Demographic Continuities and Discontinuities in Neolithic Europe: Evidence, Methods and Implications
Shennan, S. J. (2012) · Journal of Archaeological Method and Theory · doi:10.1007/s10816-012-9154-3 · Cited by 104 · see citing works
Development and Application of the Trapezoidal Model for Archaeological Chronologies
Lee, S., & Ramsey, C. B. (2012) · Radiocarbon · doi:10.1017/s0033822200046786 · Cited by 97 · see citing works
Self-citationNeedham, S., Ramsey, C. B., Coombs, D., Cartwright, C., & Pettitt, P. (1997) · Archaeological Journal · doi:10.1080/00665983.1997.11078784 · Cited by 96 · see citing works
Self-citationRapid climate change did not cause population collapse at the end of the European Bronze Age
Armit, I., Swindles, G. T., Becker, K., et al. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1408028111 · Cited by 81 · see citing works
Armit, I., Swindles, G. T., & Becker, K. (2012) · Journal of Archaeological Science · doi:10.1016/j.jas.2012.08.039 · Cited by 63 · see citing works
Ukkonen, P., Aaris-Sørensen, K., Arppe, L., et al. (2011) · Quaternary Science Reviews · doi:10.1016/j.quascirev.2010.12.017 · Cited by 59 · see citing works
Loftus, E., Sealy, J. C., & Lee‐Thorp, J. A. (2016) · Radiocarbon · doi:10.1017/rdc.2016.12 · Cited by 53 · see citing works
Statistics, sunspots and settlement: influences on sum of probability curves
Kerr, T. R., & McCormick, F. (2013) · Journal of Archaeological Science · doi:10.1016/j.jas.2013.09.002 · Cited by 30 · see citing works
Crude demographic proxy reveals nothing about Paleoindian population
Culleton, B. J. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0809092106 · Cited by 28 · see citing works
Molak, M., Suchard, M. A., Ho, S. Y. W., Beilman, D. W., & Shapiro, B. (2014) · Molecular Ecology Resources · doi:10.1111/1755-0998.12295 · Cited by 27 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- Bigler M. 2004. Hochaufl ̈osende Spurenstoffmessungen an polaren Eisbohrkernen: Glaziochemis-che und klimatische Prozessstudien [unpublished PhD dissertation]. University of Bern, Switzerland.
- Karlsberg AJ. 2006. Statistical modeling for robust and flexible chronology building [PhD thesis]. University of Sheffield.
Cited by
Sorted by citations
Vaknin, Y., Shaar, R., Gadot, Y., Shalev, Y., Lipschits, O., & Ben-Yosef, E. (2020) · PLOS ONE · doi:10.1371/journal.pone.0237029 · Cited by 25 · see citing works
Ancient Genomes Illuminate the Origins and Dynamic History of East Asian Cattle
Cai, D., Kim, D., Zhang, N., Wang, X., Li, T., Li, J., Li, C., Lian, S., Shao, X., Hu, S., et al. (2025) · Science · doi:10.1126/science.adu9904 · Cited by 11 · see citing works
- Authors
- Ramsey, C. B.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Ramsey, Christopher Bronk
- Venue
- Radiocarbon
- Publisher
- Cambridge University Press (CUP)
- Published
- 2017-11-20
- Volume
- 59
- Issue
- 6
- Pages
- 1809-1833
- ISSN
- 0033-8222 (ISSN-L)
- 1945-5755
- OpenAlex
- W2770819002
- Cited by
- 1,179
- References
- 36
- Citations by year
- 2026: 80 · 2025: 100 · 2024: 111 · 2023: 155 · 2022: 128 · 2021: 194 · 2020: 244 · 2019: 125 · 2018: 42
- FWCI
- 80.19
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Radiocarbon (publishedVersion)
- Funders
- Natural Environment Research Council (NRCF010002)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Paleontology › Archaeology and ancient environmental studies
- Social Sciences › Arts and Humanities › Archeology › Ancient and Medieval Archaeology Studies
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Tree-ring climate responses
- Keywords
- kernel density estimation, OxCal, sample selection bias, event distribution
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