A team of researchers from the universities of Southampton, Bristol and Liverpool have derived the first theoretical equation to demonstrate that global warming is a direct result of the build-up of carbon emissions since the late 1800s when human-made carbon emissions began. The results are in accord with previous data from climate models.
The theoretical equation reveals the complex relationship between carbon dioxide levels and the ocean system. Burning fossil fuels increases atmospheric carbon dioxide levels leading to global warming and the greenhouse effect, which is partly offset by the oceans taking in both heat and carbon.
The results show every million-million tonnes of carbon emitted will generate one degree Celsius of global warming. They also show that the build-up of carbon emitted over the last 200 years will then last for many centuries to millennia, even if carbon emissions are subsequently phased out.
The results also reveal that surface warming is related to the total amount of carbon emitted from fossil fuels, with little change over time as ocean carbon and changes in heat uptake almost cancel each other out.
Dr Phil Goodwin, from Ocean and Earth Science at the University of Southampton, said: "Our analysis highlights the nearly irreversible nature of carbon emissions for global warming. Once carbon has been emitted into the atmosphere the warming effect will last many centuries, even after much of the carbon has been absorbed by the ocean."
Professor Ric Williams, Chair in Ocean Sciences at the University of Liverpool's School of Environmental Sciences, added: "Given the complexity of the climate system, it was a surprise to find out how simple the relationship is between global warming and how much carbon we emit.
"These findings potentially address the most important finding from the Intergovernmental Panel on Climate-Change'>Climate Change (IPCC) report last year, which is how global warming increases with how much carbon we emit.
"This policy implication reinforces the need to develop carbon capture techniques to limit the warming for the next generations."
The research is published in Nature Geoscience.
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