More than 100 countries have adopted a global warming limit of 2 6C or below (relative to pre-industrial levels) as a guiding principle for mitigation efforts to reduce climate change risks, impacts and damages1,2. However, the greenhouse gas (GHG) emissions corresponding to a specified maximum warming are poorly known owing to uncertainties in the carbon cycle and the climate response. Here we provide a comprehensive probabilistic analysis aimed at quantifying GHG emission budgets for the 2000–50 period that would limit warming throughout the twenty-first century to below 2 6C, based on a combination of published distributions of climate system properties and observational con- straints. We show that, for the chosen class of emission scenarios, both cumulative emissions up to 2050 and emission levels in 2050 are robust indicators of the probability that twenty-first century warming will not exceed 26C relative to pre-industrial temperatures. Limiting cumulative CO2 emissions over 2000–50 to 1,000Gt CO2 yields a 25% probability of warming exceeding 2 6C—and a limit of 1,440 Gt CO2 yields a 50% probability—given a representative estimate of the distri- bution of climate system properties. As known 2000–06 CO2 emissions3 were234 Gt CO2, less than half the proven economi-cally recoverable oil, gas and coal reserves 4–6 can still be emitted up to 2050 to achieve such a goal. Recent G8 Communique ́s7 envisage halved global GHG emissions by 2050, for which we estimate a 12– 45% probability of exceeding 2 6C—assuming 1990 as emission base year and a range of published climate sensitivity distributions. Emissions levels in 2020 are a less robust indicator, but for the scenarios considered, the probability of exceeding 26C rises to 53–87% if global GHG emissions are still more than 25% above 2000 levels in 2020.
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