Cited by 122Archaeology and ancient environmental studiesAncient and Medieval Archaeology StudiesTree-ring climate responses

The Use of Bayesian Statistics for 14C Dates of Chronologically Ordered Samples: A Critical Analysis

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Steier, Peter, Rom, Werner·2000·Radiocarbon

Abstract

Bayesian mathematics provides a tool for combining radiocarbon dating results on findings from an archaeological context with independent archaeological information such as the chronological order, which may be inferred from stratigraphy. The goal is to arrive at both a more precise and a more accurate date. However, by means of simulated measurements we will show that specific assumptions about prior probabilities—implemented in calibration programs and not evident to the user—may create artifacts. This may result in dates with higher precision but lower accuracy, and which are no longer in agreement with the true ages of the findings.

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Crossref · 10.1017/s0033822200058999

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  • Given the inherent tendency to spread dating probability, Bayesian analysis of a sequence of dates across a plateau forms a prime case where boundaries must be employed to avoid a potentially wider spread of probability than is realistic.

    “In addition, given the inherent tendency to spread dating probability, Bayesian analysis of a sequence of dates across a plateau forms a prime case where boundaries must be employed to avoid a potentially wider spread of probability than is realistic, as highlighted by Steier and Rom (Reference Steier and Rom2000).”

    From Problems of Dating Spread on Radiocarbon Calibration Curve Plateaus: The 1620–1540 BC Example and the Dating of the Therasia Olive Shrub Samples and Thera Volcanic Eruption (2024) · cites this paper as Steier and Rom 2000

    In Computer Experiment A (page unavailable), the paper reports that dates on the flat Hallstatt calibration curve shift apart to cover the whole period. The Additional information section (page unavailable) likewise says the common prior spreads sequence ages across the range allowed by radiocarbon uncertainty. It does not say that boundaries must be employed; it recommends choosing a prior suited to the archaeological context. (LLM, conf=0.86)

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Research works printed but not linked: 9

  1. Bayes T. 1763. An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London 53:370-418. A postscript and a LaTec source file version of this paper are available at URL: <http://www.york.ac.uk/depts/maths/histstat/ essay.ps> and <http://www.york.ac.uk/depts/maths/ histstat/essay.htm>, respectively.
  2. Bronk Ramsey C. 1995a. Radiocarbon calibration and analysis of stratigraphy: the OxCal program. Radio- carbon 37(2):425-30.
  3. Bronk Ramsey C. 1999. An introduction to the use of Bayesian statistics in the interpretation of radiocarbon dates. Proceedings of the International Workshop on Frontiers in Accelerator Mass Spectrometry. 6-8 Jan 1999. National Institute for Environmental Studies, Tsukuba. National Museum of Japanese History, Sakura. Japan. p 151-60.
  4. Buck CE, Cavanagh WG, Litton CD. 1996. Bayesian ap- proach to interpreting archaeological data. Chiches- ter, New York, Brisbane, Toronto, Tokyo, Singapore: John Wiley & Sons. 382 p.
  5. Goslar T, M. 1998. Using the Bayesian method to study the precision of dating by wiggle-matching. Radiocarbon 40(1):551-60.
  6. Litton CD, Buck CE. 1995. Review article -The Baye- sian approach to the interpretation of archaeological data. Archaeometry 37(1):1-24.
  7. May RM. 1996. Wie viele Arten von Lebewesen gibt es? In: König B, Linsenmair KE, editors. Biologische Vielfalt. Heidelberg, Berlin, Oxford: Spektrum Aka- demischer Verlag GmbH. p 16-23.
  8. Roe BP. 1992. Probability and statistics in experimental physics. New York: Springer-Verlag. p 103-5.
  9. Stuiver M, Reimer PJ, Bard E, Beck JW, Burr GS, Hughen KA, Kromer B, McCormac G, Van der Plicht J, Spurk M. 1998. INTCAL98 radiocarbon age cali- bration, 24,000-0 cal BP. Radiocarbon 40(3):1041- 83.

Authors
Steier, P., & Rom, W.
Affiliations
University of Vienna (AT)
Venue
Radiocarbon
Published
2000
Volume
42
Issue
2
Pages
183-198
ISSN
  • 0033-8222 (ISSN-L)
  • 1945-5755
OpenAlex
W2396875319
Cited by
122
References
1
Citations by year
2026: 3 · 2025: 4 · 2024: 3 · 2022: 3 · 2021: 5 · 2020: 7 · 2019: 6 · 2018: 5 · 2017: 15 · 2016: 8 · 2015: 9 · 2014: 8 · 2013: 1 · 2012: 4
FWCI
1.80
Type
journal article
Language
en
Open access
Locations
  • Radiocarbon (publishedVersion)
  • UA Campus Repository (The University of Arizona) (acceptedVersion)
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
Bayesian analysis, radiocarbon dating, chronological order, stratigraphy, prior probability, calibration program, archaeological chronology

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