"Delaying mitigation through 2030 will increase the challenges.... And reduce the options," warns a summary of the report seen by AFP.
The draft is the third volume in a long-awaited trilogy by the Intergovernmental Panel on Climate Change (IPCC), a Nobel-winning group of scientists.
Major efforts are needed to brake the growth in carbon emissions for a good chance to limit warming to 2 degrees Celsius (3.6 degrees Fahrenheit) by 2100, says the summary.
These costs do not factor in benefits, such as growth in new areas of the economy, or savings from avoiding some of the worst impacts of climate change.
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The estimates are based on the assumption that "all countries of the world" begin curbing carbon emissions immediately and that there are "well-functioning markets" to establish a single global price for carbon.
The report looks at options, but makes no recommendations, for mitigating greenhouse gases that are driving the climate-change crisis by trapping solar heat and warming Earth's surface.
The trilogy is the IPCC's long-awaited Fifth Assessment Report, the first great overview of the causes and effects of global warming, and options for dealing with it, since 2007.
The draft document notes that global emissions of greenhouse gases surged by an average 2.2 per cent per year between 2000 and 2010, compared to 1.3 per cent per year over the entire 30-year period between 1970 and 2000.