Earth's Radiative Energy Imbalance and Climate Sensitivity calculations
(change values in the yellow cells, then press the Tab key  ↹  to recalculate)
 
Data-entry cells are yellow my best estimates alternative scenarios
Calculated cells are blue alarmist skeptic
value units value value references & notes
Starting CO2 level ppmv Preindustrial / LIA (1751) level is usually estimated to have been 277 - 280 ppmv
Current CO2 level ppmv https://sealevel.info/co2.html
Current CO2 forcing, as fraction of a doubling, Fcd 58.5% 58.5% 58.5% log2( current_CO2_level / starting_CO2_level )
For all the rest of the input fields, higher values are "more alarmist," and lower values are "more skeptical."
ECS / TCR, ETratio Lewis & Curry, 2018
IPCC AR5 WG1 Table 9.5, p.818
Unealized portion of (ECS-TCR), Ufract
Fraction of (Fcd% of) ECS realized, Fr 85.7% 71.1% 94.0% (1/ETratio) + ((1-Ufract)×((ETratio-1)/ETratio))
Fraction of (Fcd% of) ECS unrealized ("in the pipe") 14.3% 28.9% 6.0% 1 - Fr
Actual realized warming to date since LIA (1780). Wtd °C Law dome ice cores show CO2 level was 280 ppmv in 1780
Anthropogenic fraction of warming to date, Fa
Assumed natural warming since LIA, Wn 0.11 °C -0.26 0.40 Wn = (1 - Fa) × Wtd
Fraction of anthropogenic warming that's from CO2, Fc https://gml.noaa.gov/aggi/
Realized warming since LIA due to CO2 alone, Wc 0.74 °C 1.25 0.39 Wc = Wtd × Fa × Fc
Expected equilibrium warming from CO2 alone, Ec 0.87 °C 1.76 0.41 Ec = Wc / Fr
Realized warming since LIA due to CO2 + other anthro, Wa 0.99 °C 1.56 0.60 Wa = Wtd - Wn ≡ Wc / Fc
Expected equilibrium warming due to CO2 + other anthro, Ea 1.16 °C 2.19 0.64 Ea = Wa / Fr (assuming same % unrealized for CO2 and other GHGs)
Expected equilibrium warming (natural+CO2+other GHGs), Ew 1.26 °C 1.93 1.04 Ew = Ea + Wn (assuming natural warming component will be unchanged)
Practical climate sensitivity (between ECS & TCR), S 1.27 °C 2.13 0.67 Wc / Fcd (corrected 9/9/2023)
ECS 1.48 °C 3.00 0.71 S / Fr see https://sealevel.info/glossary.html#ecs
TCR 1.06 °C 1.67 0.57 ECS / ETratio
Radiative forcing from a doubling of CO2, RFd W/m² https://sealevel.info/Radiative_Forcing_synopsis.html
Equilibrium warming per W/m² forcing, Ef 0.49 °C/(W/m²) 0.81 0.25 ECS / RFd
Remaining unrealized warming "in the pipe", Wu 0.17 °C 0.63 0.04 Ew - Wtd
Radiative Imbalance calculated from unrealized warming 0.33 W/m² 0.78 0.15 Wu / Ef
Radiative imbalance (assumed), Ri W/m² NCA4 Global Mean Energy Budget of Earth
Cross-check radiative imbalance & unrealized warming estimates:
Unrealized warming calculated from assumed radiative imbalance, Ri 0.15 °C 0.49 0.05 Ri × Ef (compare this with Wu)
Note: "other anthro" means other anthropogenic forcings, including other GHGs, and aerosol / particulate pollution abatement
Contact: Dave Burton https://sealevel.info/contact.html
This web page was created from a MS Excel spreadsheet using WebWorksheet: https://webworksheet.com
The shreadsheet (source .xlsx file) can be downloaded here: https://sealevel.info/radiative_imbalance.xlsx