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The GWP (Global warming potential) is calculated over a given time scale $T$ (20 or 100 years usually), defined as the ratio between the energy absorbed by a pulse of 1Kg of gas during time $T$ compared to the energy absorbed by a pulse of 1Kg of CO2 during the same time.

The AR4 IPCC report gives a table of the GWP$_{20}$ and GWP$_{100}$ of most greenhouse gases. How can someone calculate the GWP of a given gas (say methane for instance) over another period of time GWP$_T$ ?

I understand from the AR4 that the calculations of GWP depend on several assumptions (among which how the carbon cycle is calculated and predictions in emissions to a lesser extent, due to the nonlinear increase of radiative forcing of CO2/methane with concentration). So let's put that problem aside and just focus on one scenario (the IPCC's for instance.)

What would be a concrete formula $\mathop{GWP}(gas, T) = \dots$ ?

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