This is additional material describing the main factors operating in the carbon cycle between the atmosphere and the surface; the oceans and the biosphere
Global mean variations of temperatures and those of the northern and southern hemispheres are known from satellite and terrestrial records. If it is assumed that no other factors influence the concentration of CO2 the equilibrium values can be calculated from programmes such as the one supplied by the Brookhaven National Laboratory. Results from such calculations are shown in Figures 1 and 2.

Figure 1 The calculated monthly mean equilibrium values of CO2 concentrations for the globe and the N/S hemispheres
The data yield a mean value for the dependence of CO2 concentration upon surface temperature of 17.5 ppmv K-1. This should be regarded as the maximum possible value since equilibrium is never established.
Such concentrations as those shown in Figure 1 are never found in real circumstances because at all times there are the competing processes of photosynthesis and vegetation decay, both of which cause variations of CO2 concentrations of a similar magnitude to those calculated for the effect of temperature.
Figure 2 shows the actual values for the variation of CO2 concentration throughout the year and the deviations from the mean values of the CO2 concentration derived from the data given in Figure 1.

Figure 2 Plots of the
Figure 2 also shows the derived variation of CO2 concentration based upon the actual
The latest version of the carbon cycle is shown in Figure 3.
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Figure 3 The carbon cycle
This shows the two main flows of CO2 between the atmosphere and the surface as the ~90 Gt C per year exchanging between the atmosphere and the ocean surface and the ~120 Gt C per year exchanging between the atmosphere and the biosphere in the annual photosynthesis/vegetation decay cycle. These in general oppose each others effect on the total amount of carbon in the atmosphere so that the range of amounts as measured at Mauna Loa is only 12.1 ± 1.1 Gt C per year. The flows of carbon into the atmosphere due to changing land use of 1.6 Gt C per year and the 5.5 Gt C per year from fossil fuel burning and cement manufacture are the main cause of the continual year-by-year increase of CO2 concentration of 3 ± 1.3 Gt C per year, an amount equal to the remainder of the carbon being dispersed in the oceans and in extra growth of vegetation.