On calculating the transfer of carbon-13 in reservoir models of the carbon cycle

Article English OPEN
TANS, PIETER P. (2011)
  • Publisher: Co-Action Publishing
  • Journal: Tellus A (issn: 1600-0870, eissn: 0280-6495)
  • Related identifiers: doi: 10.3402/tellusa.v32i5.10601
  • Subject: General and Miscellaneous

An approach to calculating the transfer of isotopic tracers in reservoir models is outlined that takes into account the effects of isotopic fractionation at phase boundaries without any significant approximations. Simultaneous variations in both the rare isotopic tracer and the total elemental (the sum of its isotopes) concentration are considered. The proposed procedure is applicable to most models of the carbon cycle and a four-box model example is discussed. Although the exact differential equations are non-linear, a simple linear approximation exists that gives insight into the nature of the solution. The treatment will be in terms of isotopic ratios which are the directly measured quantities.DOI: 10.1111/j.2153-3490.1980.tb00973.x
  • References (5)

    Freyer, H. D. 1979. On the I3C record in tree rings. Part I. 13Cvariations in northern hemispheric trees during the last 150 years. Tellus 31, 124-137.

    Keeling, C. D. 1973. The carbon dioxide cycle: reservoir models to depict the exchange of atmospheric carbon dioxide with the oceans and land plants. In: Chemistry of the lower atmosphere (ed. S. 1. Rasool), 251-331. Plenum, New York.

    Oeschger, H., Siegenthaler, U., Schotterer, U. and Gugelmann,A. 1975. A box diffusion model to study the carbon dioxide exchange in nature. Tellus 27, 168-192.

    Stuiver, M. 1978. Atmospheric carbon dioxide and carbon reservoir changes.Science 199,253-258.

    Tans, P. P. and Mook, W. G. 1980. Past atmospheric CO, levels and the 13C/”C ratios in tree rings. Tellus 32,268-283.

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