Carbon Cycle Simulator: Model Global CO₂ Fluxes and Climate

simulator intermediate ~10 min
Loading simulation...
CO₂ ≈ 520 ppm after 100 years at current emissions

At 10 GtC/yr emissions with current sink fractions, atmospheric CO₂ reaches approximately 520 ppm after 100 years — a 33% increase above today's ~420 ppm, producing ~1.3°C additional warming.

Formula

dC_atm/dt = E_ff + E_def − F_ocean − F_land (carbon budget)
ΔT = λ × 5.35 × ln(C/C₀) (radiative forcing to temperature)
F_ocean = k_H × pCO₂ × A_ocean (Henry's law dissolution)

Earth's Carbon Budget

Carbon cycles continuously between four major reservoirs: the atmosphere (~870 GtC), land biosphere (~2,000 GtC in vegetation and soils), oceans (~38,000 GtC), and lithosphere (~75,000,000 GtC in rocks and fossil fuels). Human activities — primarily fossil fuel combustion and deforestation — have transferred about 660 GtC from geological reservoirs to the atmosphere since 1750, raising CO₂ from 280 to over 420 ppm.

Sources and Sinks

Each year, about 10 GtC enter the atmosphere from fossil fuels and 1.1 GtC from deforestation. Natural sinks partially offset this: the ocean absorbs ~2.5 GtC through CO₂ dissolution and the biological pump, while land ecosystems absorb ~3.1 GtC through enhanced photosynthesis (CO₂ fertilization). The remaining ~45% accumulates in the atmosphere, driving climate change.

The Revelle Factor

The ocean's ability to absorb CO₂ is limited by carbonate chemistry. As dissolved CO₂ increases, the buffer capacity decreases — a relationship quantified by the Revelle factor. Currently around 10, the Revelle factor means only about 1/10 of added CO₂ is neutralized by carbonate ions. As the ocean absorbs more CO₂, the Revelle factor increases, making the ocean a progressively less effective sink.

Long-Term Fate

The timescale for CO₂ removal spans orders of magnitude. About half of emissions are absorbed within decades by ocean mixing and biological uptake. The remaining CO₂ decreases slowly over centuries through deep ocean circulation and over millennia through reaction with ocean sediments. Full removal requires 100,000+ years of silicate rock weathering. This means every ton of CO₂ emitted today will influence climate for thousands of years.

FAQ

What is the carbon cycle?

The carbon cycle is the biogeochemical cycle by which carbon is exchanged between Earth's atmosphere, oceans, biosphere, and lithosphere. Carbon moves through photosynthesis, respiration, ocean dissolution, volcanic outgassing, fossil fuel combustion, and rock weathering on timescales from days to millions of years.

What is the airborne fraction?

The airborne fraction is the proportion of emitted CO₂ that remains in the atmosphere. Currently about 45% — the ocean absorbs ~25% and land ecosystems ~30%. As emissions increase and sinks saturate, the airborne fraction may rise, amplifying warming.

How much CO₂ do the oceans absorb?

The oceans currently absorb about 2.5 GtC/yr (~25% of emissions) through physical dissolution and the biological pump. This has caused ocean pH to drop by 0.1 units since pre-industrial times (a 26% increase in acidity), threatening marine calcifying organisms.

How long does CO₂ stay in the atmosphere?

About 50% of a CO₂ pulse is absorbed within 30 years, 30% persists for centuries, and ~20% remains for tens of thousands of years until silicate weathering slowly draws it down. This long tail means CO₂ emissions have effectively irreversible climate consequences on human timescales.

Sources

Embed

<iframe src="https://homo-deus.com/lab/biogeochemistry/carbon-cycle/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub