Abstract
Mass balance equations can be used to quantify the level of fossil carbon dioxide (CO2)ff at a given site by using samples of tree leaves or tree rings. These sites are often densely populated and highly industrialized areas. In this case, in addition to the natural carbon dioxide level of the site, there are several other components that are added to it. The approaches we propose in this paper are based on the isotopic fractionation of carbon and the laws of matter conservation. Mathematical equations are derived from this and we propose approaches to establish them. Our method has allowed us to come to the conclusion of the relationship that is already found in literature. But we term this relationship in another way by introducing the fraction of carbon modern F and the proportion of CO2 derived from fossil fuels, which will be noted (S)ff for the following. As an indicator of the Suess Effect, we have calculated these values in our different sites. Wooded areas sites which are located in urban areas have higher value of proportion of fossil fuel (S)ff .
Highlights
Mass balance equations can be used to quantify the level of fossil carbon dioxide (CO2 ) ff at a given site by using samples of tree leaves or tree rings
Wooded areas sites which are located in urban areas have higher value of proportion of fossil fuel (S ) ff
If we propose to work with samples, after 1950, we can have this formula, available in the literature: ( ) = ∆ 14C 1000 Feμ( y−1950) −1 (3.5)
Summary
The estimation of fossil fuel CO2, the main cause of the Suess effect, cannot be determined directly from a radiocarbon age measurement [4] but can be estimated using a mathematical model for the global carbon cycle. The natural production of carbon-14 is generated by solar rays of cosmic and galactic sources These solar rays contain protons that react with molecules in the air to release thermalized neutrons [5] with very high energy. These neutrons formed in the upper atmosphere collide with air molecules such as nitrogen (preferentially) and oxygen. The production of C14 is brought about by the capture of neutrons by nitrogen (80% in the atmosphere according to [6] is by far the most frequent reaction 14N (n, p) 14C [7]
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