Least-Squares Fitting a Smooth Curve to Radiocarbon Calibration Data
Issue Date
1997-01-01Keywords
Fourier analysisleast squares analysis
wiener filters
standard deviation
calibration
statistical analysis
tree rings
Australasia
New Zealand
Holocene
data processing
Cenozoic
Quaternary
C 14
carbon
isotopes
radioactive isotopes
absolute age
Metadata
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Knox, F. B., & McFadgen, B. (1997). Least-squares fitting a smooth curve to radiocarbon calibration data. Radiocarbon, 39(2), 193-204.Journal
RadiocarbonAdditional Links
http://radiocarbon.webhost.uits.arizona.edu/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.Type
Articletext
Language
enISSN
0033-8222ae974a485f413a2113503eed53cd6c53
10.1017/S0033822200052000