Holding emissions at E00=8.069GtCyr−1 gives equilibrium concentrationFor time t since 2000,It increases monotonically on the same 200-year timescale and reaches about 654.07ppmv in 2500. The limiting, and hence peak asymptotic, warming isIn 2500 the equilibrium warming is about 3.69K, still below that asymptote. A stable thermal adjustment much faster than the carbon timescale follows this slow approach with a short lag and has the same limiting warming. These are predictions of the specified linear reservoir model, not a claim that constant real emissions produce a finite universal atmospheric equilibrium.
C∞=C0+b0b1E00≃682.43ppmv.
C(t)=C∞+(C00−C∞)e−t/(200yr).
ΔTpeak⟶3log2(682.43/279)≃3.87K.
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