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http://advances.sciencemag.org/content/3/9/e1700906
Abstract:
Discussion article from phys.org:
https://phys.org/news/2017-09-mathematics-sixth-mass-extinction.html
An irreversible change in the carbon cycle will start to occur sometime at or after the year 2100. The changes will not play out instantly but over periods of thousands of years. The point in time is an estimate of the amount of additional carbon - ~216 gigatons - and an approximate time it will have been added in sufficient quantityto the oceans in order to destabilize the carbon cycle.
Abstract:
The history of the Earth system is a story of change. Some changes are gradual and benign, but others, especially those associated with catastrophic mass extinction, are relatively abrupt and destructive. What sets one group apart from the other? Here, I hypothesize that perturbations of Earth’s carbon cycle lead to mass extinction if they exceed either a critical rate at long time scales or a critical size at short time scales. By analyzing 31 carbon isotopic events during the past 542 million years, I identify the critical rate with a limit imposed by mass conservation. Identification of the crossover time scale separating fast from slow events then yields the critical size. The modern critical size for the marine carbon cycle is roughly similar to the mass of carbon that human activities will likely have added to the oceans by the year 2100.
Discussion article from phys.org:
https://phys.org/news/2017-09-mathematics-sixth-mass-extinction.html
An irreversible change in the carbon cycle will start to occur sometime at or after the year 2100. The changes will not play out instantly but over periods of thousands of years. The point in time is an estimate of the amount of additional carbon - ~216 gigatons - and an approximate time it will have been added in sufficient quantityto the oceans in order to destabilize the carbon cycle.