Carbon budget calculations for the average country

An "average country" of the world is used here as an example of emission cuts that are needed in order to comply with the Paris Agreement and other aspirations to limit global warming to 1.5°C.

The web page shows a series of carbon budget calculations.

The average country

This is taken to have

Options for limiting global warming to 1.5°C

The scientific consensus is that global warming can be limited to 1.5°C if emissions since the start of 2020 are limited to 400 billion tonnes CO2 (this is with 67% confidence). This works out as 50 tonnes per person. This is a lifetime limit.

The average country has already used 18 tonnes of this per person budget in the 4 years to the end of 2023, leaving a residual budget from the start of 2024 of 32 tonnes CO2 per person.

The charts shown below have been generated by the calculator at, and they can be replicated there.

1: Constant emissions: not compliant
carbon budget chartIf emissions continue unchanged, this residual per person carbon budget will run out in 6.6 years from the start pf 2024, i.e. in 2030, as illustrated in the chart.

Clearly, CO2 emissions need to be reduced.

2: Net Zero 2050 (linear decline): not compliant with the carbon budget
A pathway that is much talked about is "Net Zero 2050", where net CO2 emissions are reduced to zero in 2050. It is common for no details to be given of the pathway to net zero, and yet this is crucial since it is the cumulative emissions that matter, not the net zero date.

One version of net zero 2050 is to cut emissions steadily, by the same amount each year, which gives a sloping straight line on a chart of annual emissions. This can be termed "linear decline". It is easy to calculate that such a pathway of emissions would extend the carbon budget by 1 year to 2031, and so the pathway would not be compliant with the residual carbon budget. It would in fact emit 50% more CO2 than the carbon budget of 50 tonnes per person.

3: Net Zero 2040 (linear decline): not compliant with the carbon budget
A pathway that reduces emissions faster than net zero 2050 is one that cuts emissions to zero in 2040 as a linear decline. This is also inadequate - the budget runs out in 2033, as shown in the chart.

4: Compliant Net Zero (linear decline): Net Zero 2037
As neither a net zero 2050 pathway or a net zero 2040 pathway (with linear declines) are compatible with the carbon budget, the question arises as to how quickly cuts have to be made in order to comply with the budget.

Calculations show that for an average country, emissions need to be cut to zero in 2037 if a linear decline.

5: Compliant exponential decline pathway
It seems unrealistic to expect emissions to suddenly stop - there are many applications of fossil fuels where a sustainable substitution is difficult. So it is worth considering a pathway where emissions tail off towards zero rather than suddenly stopping. One option is the exponential decline shown ('exponential' being used in the scientific sense of constant halving time).

6: Compliant smoothed exponential decline pathway
Also, it seems unrealistic for emissions to suddenly start falling rapidly, and a more gradual start to cuts would be preferable. The chart shows a more 'smoothed' or 'rounded' option, that is still consistent with the carbon budget.

Options for limiting global warming to temperatures higher than 1.5°C

7: Compliant smoothed exponential decline - 1.6°C
If a higher limit is accepted, the global carbon budget is greater, and so is the budget for the average country. But the consequences in terms of climate related deaths, human displacement and biodiversity loss are greater. Many people consider these additional consequences to be unacceptable.

Showing renewable energy

8: Showing renewable energy with linear extrapolation
Globally, about 14% of primary energy consumption is from renewable sources.

This can be shown on a carbon budget chart via the amount of CO2 that would have been emitted if the energy had been produced from fossil fuels.

One possible scenario is that energy from renewable sources continues to increase at the same rate as it has done over recent years. This is termed a linear increase, and is shown on the chart.

9: Showing renewable energy with exponential extrapolation
A second possible scenario is that energy from renewable sources continues to increase at the same annual percentage increase as it has done over recent years. This is termed an exponential increase, and is shown on the chart.

First published: 22 Dec 2023
Last updated: 8 Mar 2024