Least-Squares Fitting A Smooth Curve to Radiocarbon Calibration Data
- 1 January 1997
- journal article
- research article
- Published by Cambridge University Press (CUP) in Radiocarbon
- Vol. 39 (2) , 193-204
- https://doi.org/10.1017/s0033822200052000
Abstract
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 14C-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.Keywords
This publication has 7 references indexed in Scilit:
- 14C Calibration in the Southern Hemisphere and the Date of the Last Taupo Eruption: Evidence from Tree-Ring SequencesRadiocarbon, 1995
- Radiocarbon Calibration Curve Variations and Their Implications for the Interpretation of New Zealand PrehistoryRadiocarbon, 1994
- High-Precision Decadal Calibration of the Radiocarbon Time Scale, AD 1950–6000 BCRadiocarbon, 1993
- Modeling Atmospheric 14C Influences and 14C Ages of Marine Samples to 10,000 BCRadiocarbon, 1993
- Extended 14C Data Base and Revised CALIB 3.0 14C Age Calibration ProgramRadiocarbon, 1993
- High-Precision Bidecadal Calibration of the Radiocarbon Time Scale, AD 1950–500 BC and 2500–6000 BCRadiocarbon, 1993
- High-Precision Bidecadal Calibration of the Radiocarbon Time Scale, 500–2500 BCRadiocarbon, 1993