Carbon Cycle Simulator: Model CO₂ Flux and Climate Impact

simulator intermediate ~12 min
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~550 ppm — atmospheric CO₂ after 50 years at current emission rates

At 10 GtC/yr emissions with 25% ocean uptake, atmospheric CO₂ rises from 420 ppm to roughly 550 ppm over 50 years, corresponding to about 1.5°C additional warming.

Formula

dC_atm/dt = E_fossil + E_land - S_ocean - S_land
ΔF = 5.35 × ln(C/C₀) W/m² (radiative forcing)
ΔT = λ × ΔF, λ ≈ 0.8 °C/(W/m²) (climate sensitivity)

Carbon in Motion

Carbon cycles endlessly between four great reservoirs: the atmosphere (870 GtC), the ocean (38,000 GtC), land biosphere (2,000 GtC), and lithosphere (fossil fuels and rocks, >60 million GtC). Natural fluxes — photosynthesis, respiration, ocean gas exchange, and weathering — moved roughly equal amounts in and out of each reservoir for millennia. Since the Industrial Revolution, burning fossil fuels has injected an additional ~10 GtC per year into the atmosphere, disrupting this balance and driving global warming.

Sources and Sinks

Of the ~10 GtC emitted annually by fossil fuels (plus ~1 GtC from deforestation), about 25% is absorbed by the ocean and 30% by the land biosphere, leaving roughly 44% — the airborne fraction — accumulating in the atmosphere. The ocean sink operates through surface dissolution and the biological pump; the land sink works through enhanced photosynthesis (CO₂ fertilization) and regrowth of previously cleared forests. Both sinks show signs of approaching saturation as warming progresses.

Feedback Loops

The carbon cycle contains both negative and positive feedbacks. CO₂ fertilization and ocean uptake are negative feedbacks that partially offset emissions. But warming also releases carbon: thawing permafrost liberates ancient methane and CO₂, warming oceans hold less dissolved gas, and drought-stressed forests burn and die. This simulation models these competing effects, showing how the airborne fraction and atmospheric CO₂ respond to different emission scenarios over decades to centuries.

Pathways to Stabilization

Stabilizing atmospheric CO₂ at any level requires reducing net emissions to near zero — the natural sinks must balance remaining sources. The Paris Agreement target of 1.5°C implies cutting emissions roughly in half by 2030 and reaching net zero by 2050. Even after emissions stop, ocean circulation takes centuries to equilibrate, meaning committed warming and sea-level rise continue long after the last fossil fuel is burned.

FAQ

What is the carbon cycle?

The carbon cycle is the biogeochemical process by which carbon moves between the atmosphere, oceans, land biosphere, and lithosphere. Photosynthesis removes CO₂ from the air; respiration, decomposition, and combustion return it. Human fossil fuel burning has added ~10 GtC/yr, overwhelming natural sinks.

What is the airborne fraction?

The airborne fraction is the proportion of emitted CO₂ that remains in the atmosphere rather than being absorbed by oceans or land. Currently about 44%, it may increase as ocean and land sinks saturate under higher CO₂ and warming conditions.

How much CO₂ do oceans absorb?

Oceans absorb roughly 25% of annual human CO₂ emissions (~2.5 GtC/yr), dissolving it as carbonic acid. This causes ocean acidification — pH has dropped 0.1 units since 1800. The ocean's absorption capacity may decline as surface waters warm and stratify.

How does CO₂ cause warming?

CO₂ absorbs infrared radiation emitted by Earth's surface, trapping heat in the atmosphere. The radiative forcing is logarithmic: ΔF = 5.35 × ln(C/C₀) W/m². Doubling CO₂ from 280 to 560 ppm produces ~3.7 W/m² of forcing, leading to 2–4.5°C equilibrium warming.

Sources

Embed

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