In the current regime (i.e. for increases of less than ~4 degrees C), warming is roughly linear with cumulative carbon emissions (which is different from CO2 concentrations). Atmospheric forcing (the net energy flux at the top of the atmosphere due to changes in CO2 concentrations) is roughly logarithmic with CO2 concentrations.
How temperatures will change with cumulative carbon emissions at temperatures exceeding ~4 degrees C above pre-industrial is unknown, but will probably be somewhere between super-linear and logarithmic depending on what sorts of feedback mechanisms we end up seeing. I discuss this briefly in at this point in this talk: https://youtu.be/xsQgDwXmsyg?t=520
In the current regime (i.e. for increases of less than ~4 degrees C), warming is roughly linear with cumulative carbon emissions (which is different from CO2 concentrations). Atmospheric forcing (the net energy flux at the top of the atmosphere due to changes in CO2 concentrations) is roughly logarithmic with CO2 concentrations.
How temperatures will change with cumulative carbon emissions at temperatures exceeding ~4 degrees C above pre-industrial is unknown, but will probably be somewhere between super-linear and logarithmic depending on what sorts of feedback mechanisms we end up seeing. I discuss this briefly in at this point in this talk: https://youtu.be/xsQgDwXmsyg?t=520