Carbon Budget Remaining Calculator Formula

Understand the math behind the carbon budget remaining calculator. Each variable explained with a worked example.

Formulas Used

Budget Remaining

remaining_gt = budget_total_gt - used_budget

Years Until Exhausted

years_left = (budget_total_gt - used_budget) / annual_emissions_gt

Budget Already Used

pct_used = used_budget / budget_total_gt * 100

Variables

VariableDescriptionDefault
budget_total_gtTotal Carbon Budget from 2020(Gt CO2)500
annual_emissions_gtCurrent Annual Emissions(Gt CO2/yr)40
years_elapsedYears Elapsed Since 2020(years)6
used_budgetDerived value= annual_emissions_gt * years_elapsedcalculated

How It Works

The Global Carbon Budget

The carbon budget is the total amount of CO2 that can still be emitted while keeping global warming below a specific temperature target.

Formula

Remaining Budget = Total Budget - (Annual Emissions x Years Elapsed)

Years Left = Remaining Budget / Annual Emissions

The IPCC estimates that for a 50% chance of staying below 1.5°C, the remaining budget from 2020 was about 500 Gt CO2. At current rates of ~40 Gt/year, this budget is rapidly shrinking.

Worked Example

Starting budget of 500 Gt CO2 from 2020 with 40 Gt/year emissions, 6 years later.

budget_total_gt = 500annual_emissions_gt = 40years_elapsed = 6
  1. 01CO2 used = 40 x 6 = 240 Gt CO2
  2. 02Remaining = 500 - 240 = 260 Gt CO2
  3. 03Years left = 260 / 40 = 6.5 years
  4. 04Budget used = 240 / 500 x 100 = 48.0%

Frequently Asked Questions

What is a carbon budget?

A carbon budget is the maximum cumulative amount of CO2 that can be emitted while still having a reasonable chance of limiting warming to a specific temperature target.

Is the 1.5°C budget already exhausted?

It is very close. At current emission rates, the budget for a 50% chance of staying below 1.5°C may be exhausted by the late 2020s.

Does the budget account for other greenhouse gases?

Carbon budgets typically focus on CO2 but assume certain trajectories for methane and other gases. Higher non-CO2 emissions reduce the effective CO2 budget.