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The Concept of DC Gain in Modeling Secular Variations in Atmospheric 14C

Published online by Cambridge University Press:  18 July 2016

Gregory Lazear ,
Paul E Damon  and
Robert Sternberg
Gregory Lazear
Affiliation:
Laboratory of Isotope Geochemistry, Department of Geosciences, University of Arizona, Tucson, Arizona, 85719
Paul E Damon
Affiliation:
Laboratory of Isotope Geochemistry, Department of Geosciences, University of Arizona, Tucson, Arizona, 85719
Robert Sternberg
Affiliation:
Laboratory of Isotope Geochemistry, Department of Geosciences, University of Arizona, Tucson, Arizona, 85719
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Abstract

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A constraint on radiocarbon reservoir models is that the DC gain of a system (system transfer function at zero frequency) should equal the equilibrium ratio of the atmospheric radiocarbon mass to the production rate. The simple one-box model is essentially a “black box” but the value of the single residence time is theoretically equal to the DC gain. Using a sunspot-production rate algorithm as the forcing function, predictions of the one-box model match the 14C data from ad 1700 to 1900 better than the 3-box, 5-box and box-diffusion models. The more complex models tend to pile up 14C in the atmosphere because their DC gains are too high, and they over-attenuate the de Vries “wiggles”. The DC gains can be reduced to more acceptable levels by adjusting model parameters, particularly the sizes of the ocean reservoirs. Better fits to the “wiggles” are also obtained by parameter adjustment. Water content of deep-sea sediments constitutes an extra reservoir for dead carbon, and should help reduce system DC gain.

Type
Natural 14C Variations
Information
Radiocarbon , Volume 22 , Issue 2 , 1980 , pp. 318 - 327
Copyright
Copyright © The American Journal of Science 

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