Radiative forcing

Equations

NOAA AGGI · Myhre et al. 1998 · C₀ 278 ppm · M₀ 722 ppb · N₀ 270 ppb

Δ F_{C O_{2}} = 5.35 \ln (\frac{C}{C_{0}})

Δ F_{C H_{4}} = 0.036 (\sqrt{M} - \sqrt{M_{0}}) - [f (M, N_{0}) - f (M_{0}, N_{0})]

Δ F_{N_{2} O} = 0.12 (\sqrt{N} - \sqrt{N_{0}}) - [f (M_{0}, N) - f (M_{0}, N_{0})]

f (M, N) = 0.47 \ln [1 + 2.01 \times 10^{- 5} {(M N)}^{0.75} + 5.31 \times 10^{- 15} M {(M N)}^{1.52}]

IPCC AR6 · Meinshausen et al. 2020 · ERF = RF × (1.05 CO₂ · 0.86 CH₄ · 1.07 N₂O)

F_{C O_{2}} = (α^{'} + c_{1} \sqrt{N}) \ln (\frac{C}{C_{0}}), α^{'} = d_{1} + a_{1} {(C - C_{0})}^{2} + b_{1} (C - C_{0})

F_{N_{2} O} = (a_{2} \sqrt{C} + b_{2} \sqrt{N} + c_{2} \sqrt{M} + d_{2}) (\sqrt{N} - \sqrt{N_{0}})

F_{C H_{4}} = (a_{3} \sqrt{M} + b_{3} \sqrt{N} + d_{3}) (\sqrt{M} - \sqrt{M_{0}})

C₀ 277.15 ppm · M₀ 731.41 ppb · N₀ 273.87 ppb · a₁ −2.4785×10⁻⁷ · b₁ 7.5906×10⁻⁴ · c₁ −2.1492×10⁻³ · d₁ 5.2488 · a₂ −3.4197×10⁻⁴ · b₂ 2.5455×10⁻⁴ · c₂ −2.4357×10⁻⁴ · d₂ 0.12173 · a₃ −8.9603×10⁻⁵ · b₃ −1.2462×10⁻⁴ · d₃ 0.045194. Above C ≈ 1808 ppm, α′ saturates at d₁ − b₁²/4a₁.

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CO₂ CH₄ N₂O

Effective radiative forcing since 1850

Equations

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