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Least-Squares Fitting A Smooth Curve to Radiocarbon Calibration Data

Bibliographic Data

ID9241986
AuthorsF B Knox, B G Mcfadgen
Year1997
Volume39
Issue2
Pages193-204
Publication date1997-01-01
Open AccessYes
TypeARTICLE
VenueRadiocarbon (JOURNAL)
Journal identifiersISSN: 0033-8222 • E-ISSN: 1945-5755
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/s0033822200052000
OpenAlexW2479649117
LanguageEN
Citations received4
References cited7

We Fourier transformed and filtered calibration curve data to compensate for the averaging effect of radiocarbon-dating sets of adjacent tree rings. A Wiener Filter was also applied to minimize the effects of the counting errors of the dates on the resulting calibration curve and to produce a least-squares curve through the data. The method is illustrated using a short 14 C-dated tree-ring sequence from New Zealand to produce a calibration curve at yearly intervals for New Zealand matai (Prumnopitys taxifolia) . The resulting curve has a nominal standard error of 10 ± 3 yr, which is ca. half the average standard error of the original raw data

Calibration · Calibration curve · Curve fitting · Least-squares function approximation · Radiocarbon dating · Statistics · Archaeology and ancient environmental studies · Geology and Paleoclimatology Research · Mathematics · Tree-ring climate responses · Geology · Paleontology

  • Bayesian Statistics in Radiocarbon Calibration

    Open Access•David Steel, Daniel Steel•Philosophy of Science•2001

  • Novel Statistical Model for a Piece-Wise Linear Radiocarbon Calibration Curve

    Open Access•Delil Gómez Portugal Aguilar, Cliff D Litton et al.•Radiocarbon•2002

  • Formal Statistical Models for Estimating Radiocarbon Calibration Curves

    Open Access•C E Buck, P G Blackwell•Radiocarbon•2004

  • Least-Squares Fitting Smooth Curves to Decadal Radiocarbon Calibration Data from AD 1145 to AD 1945

    Open Access•F B Knox, B G Mcfadgen•Radiocarbon•2001

  • C Calibration in the Southern Hemisphere and the Date of the Last Taupo Eruption

    Open Access•R J Sparks, W H Melhuish et al.•Radiocarbon•1995

  • High-Precision Decadal Calibration of the Radiocarbon Time Scale, AD 1950–6000 BC

    Open Access•Minze Stuiver, Bernd Becker•Radiocarbon•1993

  • Radiocarbon Calibration Curve Variations and Their Implications for the Interpretation of New Zealand Prehistory

    Open Access•B G Mcfadgen, F B Knox et al.•Radiocarbon•1994

  • High-Precision Bidecadal Calibration of the Radiocarbon Time Scale, 500–2500 BC

    Open Access•Gordon W Pearson, Minze Stuiver•Radiocarbon•1993

  • High-Precision Bidecadal Calibration of the Radiocarbon Time Scale, AD 1950–500 BC and 2500–6000 BC

    Open Access•Minze Stuiver, Gordon W Pearson•Radiocarbon•1993

  • Extended 14 C Data Base and Revised Calib 3.0 14 C Age Calibration Program

    Open Access•Minze Stuiver, Paula J Reimer•Radiocarbon•1993

  • Modeling Atmospheric 14 C Influences and 14 C Ages of Marine Samples to 10,000 BC

    Open Access•Minze Stuiver, Thomas F Braziunas•Radiocarbon•1993

Citations per year0.16
Citation span2001 - 2004 (4)
Highly citedNo

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