Differential equation for carbon dating

The oceanic data are seen to be too meager as yet to help settle the question of biospheric response to man's activities.If you're seeing this message, it means we're having trouble loading external resources on our website.As found in previous work, the predicted atmospheric Suess Effect for is of similar magnitude whether the land biosphere has been a net source or sink of carbon during recent times.On the other hand, the corresponding effect for a surface ocean water is considerably smaller than otherwise if the land biosphere has been a source of CO instead of a sink.In the case of radiocarbon dating, the half-life of carbon 14 is 5,730 years.This half life is a relatively small number, which means that carbon 14 dating is not particularly helpful for very recent deaths and deaths more than 50,000 years ago.Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues.

Although the emphasis is on formulating models rather than surveying and interpreting data, observational data are summarized and compared with model predictions.

Also, the governing equations are expressed with sufficient generality to apply simultaneously to both rare isotopes.

In so far as possible, the model is expressed without approximation of the isotopic processes even though this leads to non-linear differential equations to describe the rates of change of rare isotopic carbon within carbon reservoirs.

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