The forcing phenomena has been described in the phenomena section.

Using the Myhre equation   eq-myhre     (eq. 6), the CO2 forcing will be:

  • for every doubling of the CO2 concentration:            F = 5.35· ln(2) = 3.71 W m-2
  • or, since the BIE:                                                   F = 5.35· ln(400/280) = 1.91 W m-2

Furthermore, Myhre calculated that from the BIE up to 1998 – the date of his publication at which CO2 concentration was 366 ppm – the combined contribution of all known CHGs had been 2.25 W m-2, of which 1.94 was attributable to CO2, CH4 and N2O, and the rest stemming from other GHGs (halocarbons and chlorofluorocarbons).

Considering that N2O is formed during the combustion of fossils and by the reaction of methane with air, and assuming that the other GHGs are not highly varying, the formulas proposed by Myhre in his article can be simplified:

N2O = 157.57 + 0.390 · CO2 + 0.00788 · CH4           (regression with R2 = 0.9987)

FCH4 = 0.0002237 · CH4 - 0.1645                                   (regression with R2 = 0.9997)

FN2O = 0.002299 · N2O - 0.624                                      (regression with R2 = 0.9999)

FGHG = FCO2 + FCH4 + FN2O + Fothers

With CO2 at 399 ppm, CH4 at 1825 ppb, and N2O at 326 ppb, the current (2014) radiative forcing due to GHGs is 2.6 W m-2, with the following distribution when using Myhre’s formulas:

GHG

W m-2

 

CO2

1.89

73.5%

CH4

0.24

9.4%

N2O

0.12

5.1%

Others

0.33

11.9%

 

2.59

100.0%

Contributors to GHG forcing

The primary temperature increase due to this overall forcing can be recalculated:

Forcing by GHGs

Forcing
[W m-2]

Flux
[W m-2]

T
[K]

ΔT
[K or °C]

At the Earth’s surface

 

353.7

286.96

 

Since begin of industrial era

2.59

356.3

287.49

0.51

At the top of atmosphere TOA

 

176.86

236.33

 

Since begin of industrial era

2.59

179.45

237.19

0.86

Surface and top of atmosphere temperature resulting
from the radiative forcing caused by GHGs.

Another very important greenhouse gas is water vapour which is present in the atmosphere at highly variable concentrations, from 0 up to 5 vol % (or 50’000 ppm) at different latitudes, altitudes and seasons.

Vapour acts as a gas absorbing long wave IR radiation as other GHGs. But it also contributes to heat accumulation and transport by its change of state.

The great alembic evaporates water mostly over oceans in tropical regions, condenses it, and let it rain or snow at different places. With its high heat of vaporisation (2444 kJ kg-1 at 288 K) water is THE climate adjusting variable.

To generate average rainfalls of 1133 mm per year over the whole globe, an energy exchange of 88 W m-2 must take place twice: to evaporate and then to condense the water. This is

-          considerable in comparison with the average solar input of 341.5 W m-2,

-          very large in comparison with radiative forcing of 2.59 W m-2,

-          and 2700 times larger than the total energy supplied by human activity in 2012 (0.033 W m-2).

Today’s total GHG forcing of 2.59 W m-2 corresponds to the heat of condensation necessary for a rainfall of less than 3 mm/month, a relatively hard to measure variation (see chapter 1.4.3).

With these characteristics the forcing attributable to water vapour is strong, highly variable in time and space, and undistinguishable from any other cause.