Climate sensitivity is the equilibrium temperature change in response to changes of the radiative forcing. Therefore, climate sensitivity depends on the initial climate state, but potentially can be accurately inferred from precise palaeoclimate data. Slow climate feedbacks, especially changes of ice sheet size and atmospheric CO2, amplify the total Earth system sensitivity by an amount that depends on the time scale considered.
Although climate sensitivity is usually used in the context of radiative forcing by carbon dioxide (CO2), it is thought of as a general property of the climate system: the change in surface air temperature (ΔTs) following a unit change in radiative forcing (RF), and thus is expressed in units of °C/(W/m2). For this to be useful, the measure must be independent of the nature of the forcing (e.g. from greenhouse gases or solar variation); to first order this is indeed found to be so.
The climate sensitivity specifically due to CO2 is often expressed as the temperature change in °C associated with a doubling of the concentration of carbon dioxide in Earth's atmosphere.
For coupled atmosphere-ocean global climate models (e.g. CMIP5) the climate sensitivity is an emergent property: it is not a model parameter, but rather a result of a combination of model physics and parameters. By contrast, simpler energy-balance models may have climate sensitivity as an explicit parameter.
The terms represented in the equation relate radiative forcing (RF) to linear changes in global surface temperature change (ΔTs) via the climate sensitivity λ.
It is also possible to estimate climate sensitivity from observations; however, this is difficult due to uncertainties in the forcing and temperature histories.
- 1 Equilibrium and transient climate sensitivity
- 2 Earth System Sensitivity
- 3 Sensitivity to carbon dioxide forcing
- 4 Calculations of CO2 sensitivity from observational data
- 5 Radiative forcing functions
- 6 Sensitivity to solar forcing
- 7 See also
- 8 References
Equilibrium and transient climate sensitivity
The equilibrium climate sensitivity (ECS) refers to the equilibrium change in global mean near-surface air temperature that would result from a sustained doubling of the atmospheric (equivalent) carbon dioxide concentration (ΔTx2). (Here it should be noted that the term "equilibrium," though widely used, is a misused; the climate system is far from the situation of a dynamic equilibrium, which requires equal and opposite fluxes on all paths; it is better characterized as a "steady state" or "near steady state." However the term "equilibrium" is widely used.) As estimated by the IPCC Fifth Assessment Report (AR5) "there is high confidence that ECS is extremely unlikely less than 1°C and medium confidence that the ECS is likely between 1.5°C and 4.5°C and very unlikely greater than 6°C." This is a change from the IPCC Fourth Assessment Report (AR4), which said it was likely to be in the range 2 to 4.5 °C with a best estimate of about 3 °C, and is very unlikely to be less than 1.5 °C. Values substantially higher than 4.5 °C cannot be excluded, but agreement of models with observations is not as good for those values. The IPCC Third Assessment Report (TAR) said it was "likely to be in the range of 1.5 to 4.5 °C". Other estimates of climate sensitivity are discussed later on.
A comprehensive model estimate of equilibrium sensitivity thus requires a very long model integration; fully equilibrating ocean temperatures requires integrations of thousands of model years, although it is possible to produce an approximate estimate more quickly using the method of Gregory et al. (2004). A measure requiring shorter integrations is the transient climate response (TCR) which is defined as the average temperature response over a twenty-year period centered at CO2 doubling in a transient simulation with CO2 increasing at 1% per year (compounded), i.e., 60 – 80 years following initiation of the increase in CO2. The transient response is lower than the equilibrium sensitivity because the deep ocean, which takes many centuries after a perturbation to reach a new steady state, continues to serve as a sink for heat from the upper ocean.
Over the 50–100 year timescale, the climate response to forcing is likely to follow the TCR; for considerations of climate stabilization on the millennial time scale, the ECS is more pertinent.
An estimate of the equilibrium climate sensitivity may be made from combining the transient climate sensitivity with the known properties of the ocean reservoirs and the surface heat fluxes; this is the effective climate sensitivity. This "may vary with forcing history and climate state". 
Earth System Sensitivity
A less commonly used concept, the Earth system sensitivity (ESS), can be defined which includes the effects of slower feedbacks, such as the albedo change from melting the large ice sheets that covered much of the northern hemisphere during the last glacial maximum. These extra feedbacks make the ESS larger than the ECS — possibly twice as large — but also mean that it may well not apply to current conditions. ESS includes the 'whole' system, but omitting the carbon cycle.
Sensitivity to carbon dioxide forcing
Climate sensitivity is often evaluated in terms of the change in equilibrium temperature due to radiative forcing due to the greenhouse effect. According to the Arrhenius relation, the radiative forcing (and hence the change in temperature) is proportional to the logarithm of the concentration of infrared-absorbing gasses in the atmosphere. Thus, the sensitivity of temperature to gasses in the atmosphere (most notably carbon dioxide) is often expressed in terms of the change in temperature per doubling of the concentration of the gas.
Radiative forcing due to doubled CO2
CO2 climate sensitivity has a component directly due to radiative forcing by CO2, and a further contribution arising from climate feedbacks, both positive and negative. "Without any feedbacks, a doubling of CO2 (which amounts to a forcing of 3.7 W/m2) would result in 1 °C global warming, which is easy to calculate and is undisputed. The remaining uncertainty is due entirely to feedbacks in the system, namely, the water vapor feedback, the ice-albedo feedback, the cloud feedback, and the lapse rate feedback"; addition of these feedbacks leads to a value of the sensitivity to CO2 doubling of approximately 3 °C ± 1.5 °C, which corresponds to a value of λ of 0.8 K/(W/m2).
In the earlier 1979 NAS report (p. 7), the radiative forcing due to doubled CO2 is estimated to be 4 W/m2, as calculated (for example) in Ramanathan et al. (1979). In 2001 the IPCC adopted the revised value of 3.7 W/m2, the difference attributed to a "stratospheric temperature adjustment". More recently an intercomparison of radiative transfer codes (Collins et al., 2006) showed discrepancies among climate models and between climate models and more exact radiation codes in the forcing attributed to doubled CO2 even in cloud-free sky; presumably the differences would be even greater if forcing were evaluated in the presence of clouds because of differences in the treatment of clouds in different models. Undoubtedly the difference in forcing attributed to doubled CO2 in different climate models contributes to differences in apparent sensitivities of the models, although this effect is thought to be small relative to the intrinsic differences in sensitivities of the models themselves.
A committee on anthropogenic global warming convened in 1979 by the National Academy of Sciences and chaired by Jule Charney estimated climate sensitivity to be 3 °C, plus or minus 1.5 °C. Only two sets of models were available; one, due to Syukuro Manabe, exhibited a climate sensitivity of 2 °C, the other, due to James E. Hansen, exhibited a climate sensitivity of 4 °C. "According to Manabe, Charney chose 0.5 °C as a not-unreasonable margin of error, subtracted it from Manabe’s number, and added it to Hansen’s. Thus was born the 1.5 °C-to-4.5 °C range of likely climate sensitivity that has appeared in every greenhouse assessment since..."
Chapter 4 of the "Charney report" compares the predictions of the models: "We conclude that the predictions ... are basically consistent and mutually supporting. The differences in model results are relatively small and may be accounted for by differences in model characteristics and simplifying assumptions."
In 2008 climatologist Stefan Rahmstorf wrote, regarding the Charney report's original range of uncertainty: "At that time, this range was on very shaky ground. Since then, many vastly improved models have been developed by a number of climate research centers around the world. Current state-of-the-art climate models span a range of 2.6–4.1 °C, most clustering around 3 °C."
Intergovernmental Panel on Climate Change
The 1990 IPCC First Assessment Report estimated that equilibrium climate sensitivity to CO2 doubling lay between 1.5 and 4.5 °C, with a "best guess in the light of current knowledge" of 2.5 °C. This used models with strongly simplified representations of the ocean dynamics. The IPCC supplementary report, 1992 which used full ocean GCMs nonetheless saw "no compelling reason to warrant changing" from this estimate  and the IPCC Second Assessment Report found that "No strong reasons have emerged to change" these estimates, with much of the uncertainty attributed to cloud processes. As noted above, the IPCC TAR retained the likely range 1.5 to 4.5 °C.
Authors of the IPCC Fourth Assessment Report (Meehl et al., 2007) stated that confidence in estimates of equilibrium climate sensitivity had increased substantially since the TAR. AR4's assessment was based on a combination of several independent lines of evidence, including observed climate change and the strength of known "feedbacks" simulated in general circulation models. IPCC authors concluded that the global mean equilibrium warming for doubling CO2 (to a concentration of 560 ppmv), or equilibrium climate sensitivity, very likely is greater than 1.5 °C (2.7 °F) and likely to lie in the range 2 to 4.5 °C (4 to 8.1 °F), with a most likely value of about 3 °C (5 °F). For fundamental physical reasons, as well as data limitations, the IPCC states a climate sensitivity higher than 4.5 °C (8.1 °F) cannot be ruled out, but that agreement for these values with observations and "proxy" climate data is generally worse compared to values in the 2 to 4.5 °C (4 to 8.1 °F) range.
The TAR uses the word "likely" in a qualitative sense to describe the likelihood of the 1.5 to 4.5 °C range being correct. AR4, however, quantifies the probable range of climate sensitivity estimates:
- 2–4.5 °C is "likely", = greater than 66% chance of being correct
- less than 1.5 °C is "very unlikely" = less than 10%
The IPCC Fifth Assessment Report stated: Equilibrium climate sensitivity is likely in the range 1.5 °C to 4.5 °C (high confidence), extremely unlikely less than 1 °C (high confidence), and very unlikely greater than 6 °C (medium confidence).
Calculations of CO2 sensitivity from observational data
Sample calculation using industrial-age data
Rahmstorf (2008) provides an informal example of how climate sensitivity might be estimated empirically, from which the following is modified. Denote the sensitivity, i.e. the equilibrium increase in global mean temperature including the effects of feedbacks due to a sustained forcing by doubled CO2 (taken as 3.7 W/m2), as x °C. If Earth were to experience an equilibrium temperature change of ΔT (°C) due to a sustained forcing of ΔF (W/m2), then one might say that x/(ΔT) = (3.7 W/m2)/(ΔF), i.e. that x = ΔT * (3.7 W/m2)/ΔF. The global temperature increase since the beginning of the industrial period (taken as 1750) is about 0.8 °C, and the radiative forcing due to CO2 and other long-lived greenhouse gases (mainly methane, nitrous oxide, and chlorofluorocarbons) emitted since that time is about 2.6 W/m2. Neglecting other forcings and considering the temperature increase to be an equilibrium increase would lead to a sensitivity of about 1.1 °C. However, ΔF also contains contributions due to solar activity (+0.3 W/m2), aerosols (−1 W/m2), ozone (0.3 W/m2) and other lesser influences, bringing the total forcing over the industrial period to 1.6 W/m2 according to best estimate of the IPCC AR4, albeit with substantial uncertainty. Additionally the fact that the climate system is not at equilibrium must be accounted for; this is done by subtracting the planetary heat uptake rate H from the forcing; i.e., x = ΔT * (3.7 W/m2)/(ΔF-H). Taking planetary heat uptake rate as the rate of ocean heat uptake, estimated by the IPCC AR4 as 0.2 W/m2, yields a value for x of 2.1 °C. (All numbers are approximate and quite uncertain.)
Sample calculation using ice-age data
In 2008, Farley wrote: "... examine the change in temperature and solar forcing between glaciation (ice age) and interglacial (no ice age) periods. The change in temperature, revealed in ice core samples, is 5 °C, while the change in solar forcing is 7.1 W/m2. The computed climate sensitivity is therefore 5/7.1 = 0.7 K(W/m2)−1. We can use this empirically derived climate sensitivity to predict the temperature rise from a forcing of 4 W/m2, arising from a doubling of the atmospheric CO2 from pre-industrial levels. The result is a predicted temperature increase of 3 °C."
Based on analysis of uncertainties in total forcing, in Antarctic cooling, and in the ratio of global to Antarctic cooling of the last glacial maximum relative to the present, Ganopolski and Schneider von Deimling (2008) infer a range of 1.3 to 6.8 °C for climate sensitivity determined by this approach.
A lower figure was calculated in a 2011 Science paper by Schmittner et al., who combined temperature reconstructions of the Last Glacial Maximum with climate model simulations to suggest a rate of global warming from doubling of atmospheric carbon dioxide of a median of 2.3 °C and uncertainty 1.7–2.6 °C (66% probability range), less than the earlier estimates of 2 to 4.5 °C as the 66% probability range. Schmittner et al. said their "results imply less probability of extreme climatic change than previously thought." Their work suggests that climate sensitivities >6 °C "cannot be reconciled with paleoclimatic and geologic evidence, and hence should be assigned near-zero probability."
Other observationally based estimates
Andronova and Schlesinger (2001) found that the climate sensitivity could lie between 1 and 10 °C, with a 54 percent likelihood that it lies outside the IPCC range. The exact range depends on which factors are most important during the instrumental period: "At present, the most likely scenario is one that includes anthropogenic sulfate aerosol forcing but not solar variation. Although the value of the climate sensitivity in that case is most uncertain, there is a 70 percent chance that it exceeds the maximum IPCC value. This is not good news," said Schlesinger.
Forest, et al. (2002) using patterns of change and the MIT EMIC estimated a 95% confidence interval of 1.4–7.7 °C for the climate sensitivity, and a 30% probability that sensitivity was outside the 1.5 to 4.5 °C range.
Shaviv (2005) carried out a similar analysis for 6 different time scales, ranging from the 11-yr solar cycle to the climate variations over geological time scales. He found a typical sensitivity of 0.54±0.12 K/(W m−2) or 2.1 °C (ranging between 1.6 °C and 2.5 °C at 99% confidence) if there is no cosmic-ray climate connection, or a typical sensitivity of 0.35±0.09 K/(W m−2) or 1.3 °C (between 1.0 °C and 1.7 °C at 99% confidence), if the cosmic-ray climate link is real. (Note Shaviv quotes a radiative forcing equivalent of 3.8 Wm−2. [ΔTx2=3.8 Wm−2 λ].)
Frame, et al. (2005) noted that the range of the confidence limits is dependent on the nature of the prior assumptions made.
Annan and Hargreaves (2006) presented an estimate that resulted from combining prior estimates based on analyses of paleoclimate, responses to volcanic eruptions, and the temperature change in response to forcings over the twentieth century. They also introduced a triad notation (L, C, H) to convey the probability distribution function (pdf) of the sensitivity, where the central value C indicates the maximum likelihood estimate in degrees Celsius and the outer values L and H represent the limits of the 95% confidence interval for a pdf, or 95% of the area under the curve for a likelihood function. In this notation their estimate of sensitivity was (1.7, 2.9, 4.9) °C.
Forster and Gregory (2006) presented a new independent estimate based on the slope of a plot of calculated greenhouse gas forcing minus top-of-atmosphere energy imbalance, as measured by satellite borne radiometers, versus global mean surface temperature. In the triad notation of Annan and Hargreaves their estimate of sensitivity was (1.0, 1.6, 4.1) °C.
Royer, et al. (2007) determined climate sensitivity within a major part of the Phanerozoic. The range of values—1.5 °C minimum, 2.8 °C best estimate, and 6.2 °C maximum—is, given various uncertainties, consistent with sensitivities of current climate models and with other determinations.
Schwartz (2007) proposed an alternative means of determining climate sensitivity as where is the time constant of the climate system response to a perturbation and is the heat capacity of the climate system. His analysis yielded a time constant 5 yr, heat capacity 17 W yr m−2 K−1, and sensitivity 0.30 K/(W m−2), corresponding to 1.1 °C for CO2 doubling. This work was severely challenged, mainly on the grounds that the determination of time constant was flawed. In response Schwartz conceded that the time constant was somewhat greater than he had determined, 8.5 yr, and that the sensitivity determined by his approach, revised to 0.51 K/(W m−2), was that of the upper compartment of the climate system, akin to a transient climate response (TCR 1.9 °C).
Skeie et al. (2013) use the Bayesian analysis of the OHC data and conclude that the equilibrium climate sensitivity is 1.8 C, far lower than previous best estimate relied upon by the IPCC.
Aldrin et al. (2012) use a simple deterministic climate model, modelling yearly hemispheric surface temperature and global ocean heat content as a function of historical radiative forcing and combine it with an empirical, stochastic model. By using a Bayesian framework they estimate the equilibrium climate sensitivity to be 1.98 C.
Lewis (2013) estimates by using the Bayesian framework that the equilibrium climate sensitivity is 1.6 K, with the likely range (90% confidence level) 1.2–2.2 K.
Fasullo and Trenberth (2012) assessed model estimates of climate sensitivity based on the ability of the models to reproduce observed relative humidity in the tropics and subtropics. The best performing models tended to project relatively high climate sensitivities around 4 °C.
Previdi et al. 2013 reviewed the 2×CO2 Earth system sensitivity, and concluded it is higher if the ice sheet and the vegetation albedo feedback is included in addition to the fast feedbacks, being ∼4–6 °C, and higher still if climate–GHG feedbacks are also included.
Lewis and Curry (2014) estimated that equilibrium climate sensitivity was 1.64 °C, based on the 1750-2011 time series and "the uncertainty ranges for forcing components" in the IPCC's Fifth Assessment Report.
A literature review by Knutti and Hegerl (2008) concluded, "various observations favour a climate sensitivity value of about 3 °C, with a likely range of about 2–4.5 °C. However, the physics of the response and uncertainties in forcing lead to difficulties in ruling out higher values." A subsequent literature survey by Knutti and others (2017) extended that range to 1.5–4.5 °C, but suggested that transient climate response may be a more important measure of climate sensitivity than equilibrium sensitivity.
A review by Forster (2016) concluded that recent attempts to diagnose equilibrium climate sensitivity (ECS) from changes in Earth’s energy budget point toward values of around 2 °C, but with tentative evidence that this underestimates the true ECS from a doubling of carbon dioxide.
Radiative forcing functions
A number of different inputs can give rise to radiative forcing. In addition to the downwelling radiation due to the greenhouse effect, the IPCC First Scientific Assessment Report listed solar radiation variability due to orbital changes, variability due to changes in solar irradiance, direct aerosol effects (e.g., changes in albedo due to cloud cover), indirect aerosol effects, and surface characteristics.
Sensitivity to solar forcing
Solar irradiance is about 0.9 W/m2 brighter during solar maximum than during solar minimum. Analysis by Camp and Tung shows that this correlates with a variation of ±0.1 °C in measured average global temperature between the peak and minimum of the 11-year solar cycle. From this data (incorporating the Earth's albedo and the fact that the solar absorption cross-section is 1/4 of the surface area of the Earth), Tung, Zhou and Camp (2008) derive a transient sensitivity value of 0.69 to 0.97 °C/(W/m2). This would correspond to a transient climate sensitivity to carbon dioxide doubling of 2.5 to 3.6 K, similar to the range of the current scientific consensus. However, they note that this is the transient response to a forcing with an 11-year cycle; due to lag effects, they estimate the equilibrium response to forcing would be about 1.5 times as high.
- Edited quote from public-domain source: Lindsey, Rebecca (3 August 2010), What if global warming isn’t as severe as predicted? : Climate Q&A : Blogs, NASA Earth Observatory, part of the EOS Project Science Office, located at NASA Goddard Space Flight Center
- PALAEOSENS Project Members (28 November 2012). "Making sense of palaeoclimate sensitivity" (PDF). Nature. 491 (7426): 683–91. Bibcode:2012Natur.491..683P. doi:10.1038/nature11574.
- Hansen, James; Sato, Makiko; Russell, Gary; Pushker, Kharecha (16 September 2013). "Climate sensitivity, sea level and atmospheric carbon dioxide". Royal Society Publishing. 371 (2001): 20120294. arXiv: . Bibcode:2013RSPTA.37120294H. doi:10.1098/rsta.2012.0294.
- Bindoff, Nathaniel L.; Stott, Peter A. (2013). "10.8.2 Constraints on Long-Term Climate Change and the Equilibrium Climate Sensitivity" (PDF). Climate Change 2013: The Physical Science Basis - IPCC Working Group I Contribution to AR5. Geneva, Switzerland: Intergovernmental Panel on Climate Change. Retrieved 2 April 2014.
- IPCC (2007). "2.3 Climate sensitivity and feedbacks". In Pachauri, R.K; Reisinger, A. Climate Change 2007: Synthesis Report. Contribution of Working Groups I, II and III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Geneva, Switzerland: Intergovernmental Panel on Climate Change. Retrieved 3 July 2010.
- Albritton, D.L.; et al. (2001). "Technical Summary: F.3 Projections of Future Changes in Temperature". In Houghton J.T.; et al. Climate Change 2001: The Scientific Basis. Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press. Archived from the original on 12 January 2012. Retrieved 3 July 2010.
- Gregory, J.M.; et al. (11 February 2004). "A new method for diagnosing radiative forcing and climate sensitivity". Geophysical Research Letters. 31 (3): L03205. Bibcode:2004GeoRL..31.3205G. doi:10.1029/2003GL018747.
- Randall, D.A.; et al. (2007). "8.6.2 Interpreting the Range of Climate Sensitivity Estimates Among General Circulation Models, In: Climate Models and Their Evaluation.". In Solomon, S. D.; et al. Climate Change 2007: Synthesis Report. Contribution of Working Groups I, II and III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press. Retrieved 3 July 2010.
- Hansen, James; Sato, Makiko; Kharecha, Pushker; von Schuckmann, Karina (22 December 2011). "Earth's energy imbalance and implications". Atmospheric Chemistry and Physics. 11 (24): 13,421–49. Bibcode:2011ACP....1113421H. doi:10.5194/acp-11-13421-2011.
- Prentice, I.C.; et al. (2001). "9.2.1 Climate Forcing and Climate Response, in chapter 9. Projections of Future Climate Change". In Houghton J.T.; et al. Climate Change 2001: The Scientific Basis. Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press. ISBN 9780521807678. Retrieved 2010-07-03.
- Solomon, S. D.; et al., eds. (2007). "Glossary A-D, Climate sensitivity". Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, 2007. Cambridge University Press. Retrieved 5 October 2011.
- "Target CO2". RealClimate. 7 April 2008. Archived from the original on 24 August 2017.
- "On sensitivity: Part I". RealClimate.org.
- Walter, Martin E. (November 2010). "Earthquakes and Weatherquakes: Mathematics and Climate Change" (PDF). Notices of the American Mathematical Society. 57 (10): 1278–84.
- Rahmstorf, Stefan (2008). "Anthropogenic Climate Change: Revisiting the Facts". In Zedillo, Ernesto. Global Warming: Looking Beyond Kyoto (PDF). Brookings Institution Press. pp. 34–53.
- Ad Hoc Study Group on Carbon Dioxide and Climate (1979). "Carbon Dioxide and Climate: A Scientific Assessment" (PDF). National Academy of Sciences. doi:10.17226/12181. Archived from the original (PDF) on 13 August 2011.
- Ramanathan, V.; Lian, M.S.; Cess, R.D. (20 August 1979). "Increased Atmospheric CO2: Zonal and Seasonal Estimates of the Effect on Radiative Energy Balance and Surface Temperature" (PDF). Journal of Geophysical Research. 84 (C8): 4949–58.
- O. Boucher; et al. (2001). "6.3.1 Carbon Dioxide in: Chapter 6 Radiative Forcing of Climate Change". In Houghton J.T.; et al. Climate Change 2001: The Scientific Basis. Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press. Retrieved 3 July 2010.
- Collins, W.D.; et al. (2006). "Radiative forcing by well-mixed greenhouse gases: Estimates from climate models in the Intergovernmental Panel on Climate Change (IPCC) Fourth Assessment Report (AR4)". J. Geophys. Res. 111 (D14317): D14317. Bibcode:2006JGRD..11114317C. doi:10.1029/2005JD006713. Retrieved 3 July 2010.
- Webb, M. J.; et al. (2006). "On the contribution of local feedback mechanisms to the range of climate sensitivity in two GCM ensembles". Climate Dynamics. 27 (1): 17–38. Bibcode:2006ClDy...27...17W. doi:10.1007/s00382-006-0111-2.
- Kerr, Richard A. (13 August 2004). "Three Degrees of Consensus". Science. 305 (5686): 932–4. doi:10.1126/science.305.5686.932. PMID 15310873.
- Climate Change: The IPCC Scientific Assessment (1990), Report prepared for Intergovernmental Panel on Climate Change by Working Group I, J.T. Houghton, G.J. Jenkins and J.J. Ephraums (eds.), chapter 5, Equilibrium Climate Change — and its Implications for the Future, pp. 138–9
- IPCC '92 p118 section B3.5
- IPCC SAR p 34, technical summary section D.2
- Meehl, G.A.; et al., "Ch. 10: Global Climate Projections; Box 10.2: Equilibrium Climate Sensitivity", IPCC Fourth Assessment Report WG1 2007
- This article incorporates public domain material from the US Environmental Protection Agency (US EPA) document: US EPA (7 December 2009), "Ch. 6: Projected Future Greenhouse Gas Concentrations and Climate Change: Box 6.3: Climate sensitivity", Technical Support Document for Endangerment and Cause or Contribute Findings for Greenhouse Gases under Section 202(a) of the Clean Air Act (PDF), Washington, DC, USA: Climate Change Division, Office of Atmospheric Programs, US EPA, p.66 (78 of PDF file)
- Solomon, S.; et al., "Technical summary", Climate Change 2007: Working Group I: The Physical Science Basis, Box TS.1: Treatment of Uncertainties in the Working Group I Assessment, in IPCC AR4 WG1 2007
- Bernardo, José M.; Smith, Adrian F.M. (January 1994). Bayesian Theory. Wiley. ISBN 0-471-92416-4.
- Farley, John W. (5 July 2008). "The Scientific Case for Modern Anthropogenic Global Warming". Monthly Review. 60 (3). doi:10.14452/MR-060-03-2008-07_5.
- Ganopolski, Andrey; von Deimling, Thomas Schneider (5 December 2008). "Comment on "Aerosol radiative forcing and climate sensitivity deduced from the Last Glacial Maximum to Holocene transition" by Petr Chylek and Ulrike Lohmann". Geophysical Research Letters. 35 (23): L23703. Bibcode:2008GeoRL..3523703G. doi:10.1029/2008GL033888.
- Schmittner, Andreas; Urban, Nathan M.; Shakun, Jeremy D.; Mahowald, Natalie M.; Clark, Peter U.; Bartlein, Patrick J.; Mix, Alan C.; Rosell-Melé, Antoni (9 December 2011). "Climate Sensitivity Estimated from Temperature Reconstructions of the Last Glacial Maximum". Science. 334 (6061): 1385–8. Bibcode:2011Sci...334.1385S. doi:10.1126/science.1203513. PMID 22116027.
- Climate sensitivity to CO2 more limited than extreme projections, news article re Schmittner et al., Innovations Report, 25 November 2011.
- Idso, Sherwood B. (9 April 1998). "CO2-induced global warming: A skeptic's view of potential climate change" (PDF). Climate Research. 10: 69–82. Bibcode:1998ClRes..10...69I. doi:10.3354/cr010069. (reprinted in Gerhard, Lee C.; Harrison, William E.; Hanson, Brunold M., eds. (2001). "Geological Perspectives of Global Climate Change". AAPG Special Publication. SG47: 317–36.)
- Andronova, Natalia G.; Schlesinger, Michael E. (1 October 2001). "Objective estimation of the probability distribution for climate sensitivity". Journal of Geophysical Research: Atmospheres. 106 (D19): 22,605–11. Bibcode:2001JGR...10622605A. doi:10.1029/2000JD000259. as PDF Archived 26 December 2005 at the Wayback Machine. data Archived 26 December 2005 at the Wayback Machine.
- Forest, Chris E.; Stone, Peter H.; Sokolov, Andrei P.; Allen, Myles R.; Webster, Mort D. (4 January 2002). "Quantifying uncertainties in climate system properties with the use of recent observations" (PDF). Science. 295 (5552): 113–7. Bibcode:2002Sci...295..113F. doi:10.1126/science.1064419. PMID 11778044.
- Gregory, J.M.; Stouffer, R.J.; Raper, S.C.B.; Stott, P.A.; Rayner, N.A. (2002). "An observationally based estimate of the climate sensitivity". Journal of Climate. 15 (22): 3117. Bibcode:2002JCli...15.3117G. doi:10.1175/1520-0442(2002)015<3117:AOBEOT>2.0.CO;2. as PDF Archived 24 July 2006 at the Wayback Machine.
- Shaviv, Nir J. (23 August 2005). "On climate response to changes in the cosmic ray flux and radiative budget". Journal of Geophysical Research: Space Physics. 110 (A8): A08105. arXiv: . Bibcode:2005JGRA..110.8105S. doi:10.1029/2004JA010866. (preprint), and a discussion about it.
- Frame, D.J.; Booth, B.B.B.; Kettleborough, J.A.; Stainforth, D.A.; Gregory, J.M.; Collins, M.; Allen, M.R. (6 May 2005). "Constraining climate forecasts: the role of prior assumptions". Geophysical Research Letters. 32 (9): L09702. Bibcode:2005GeoRL..32.9702F. doi:10.1029/2004GL022241.
- Annan, J.D.; Hargreaves, J. C. (18 March 2006). "Using multiple observationally-based constraints to estimate climate sensitivity". Geophysical Research Letters. 33 (6): L06704. Bibcode:2006GeoRL..3306704A. doi:10.1029/2005GL025259. as PDF Archived 25 April 2006 at the Wayback Machine.
- Forster, Piers M. de F.; Gregory, Jonathan M. (1 January 2006). "The Climate Sensitivity and Its Components Diagnosed from Earth Radiation Budget Data". Journal of Climate. 19 (1): 39–52. Bibcode:2006JCli...19...39F. doi:10.1175/JCLI3611.1.
- Royer, Dana L.; Berner, Robert A.; Park, Jeffrey (29 March 2007). "Climate sensitivity constrained by CO2 concentrations over the past 420 million years". Nature. 446 (7135): 530–2. Bibcode:2007Natur.446..530R. doi:10.1038/nature05699. PMID 17392784.
- Veizer has pointed out that while data for the whole Phanerozoic are available Royer et al. left out the time span younger than 420 Ma with an ice age and extremely high carbon dioxide content during the Hirnantian.
- Schwartz, Stephen E. (2 November 2007). "Heat capacity, time constant, and sensitivity of Earth's climate system". Journal of Geophysical Research: Atmospheres. 112 (D24). Bibcode:2007JGRD..11224S05S. doi:10.1029/2007JD008746.
- Knutti, R., Kraehenmann, S., Frame, D.J. and Allen, M.R., 2008. Comment on “Heat capacity, time constant, and sensitivity of Earth's climate system” by SE Schwartz. Journal of Geophysical Research: Atmospheres, 113(D15).
- Foster, G., Annan, J.D., Schmidt, G.A. and Mann, M.E., 2008. Comment on “Heat capacity, time constant, and sensitivity of Earth's climate system” by SE Schwartz. Journal of Geophysical Research: Atmospheres, 113(D15).
- Scafetta, N., 2008. Comment on “Heat capacity, time constant, and sensitivity of Earth's climate system” by SE Schwartz. Journal of Geophysical Research: Atmospheres, 113(D15).
- Schwartz, S.E., 2008. Reply to comments by G. Foster et al., R. Knutti et al., and N. Scafetta on “Heat capacity, time constant, and sensitivity of Earth's climate system”. Journal of Geophysical Research: Atmospheres, 113(D15).
- Lindzen, Richard S.; Choi, Yong-Sang (2011). "On the Observational Determination of Climate Sensitivity and Its Implications" (PDF). Asia-Pacific Journal of Atmospheric Sciences. 47 (4): 377–90. Bibcode:2011APJAS..47..377L. doi:10.1007/s13143-011-0023-x.
- Skeie, R.B.; Bernsten, T.; Aldrin, M.; Holden, M.; Myhre, G. (25 March 2014). "A lower and more constrained estimate of climate sensitivity using updated observations and detailed radiative forcing time series". Earth System Dynamics. 5 (1): 139–75. Bibcode:2014ESD.....5..139S. doi:10.5194/esd-5-139-2014.
- Aldrin, Magne; et al. (24 February 2012). "Bayesian estimation of climate sensitivity based on a simple climate model fitted to observations of hemispheric temperatures and global ocean heat content" (PDF). Environmetrics. 23 (3): 253–71. doi:10.1002/env.2140.
- Lewis, Nicholas (1 October 2013). "An Objective Bayesian Improved Approach for Applying Optimal Fingerprint Techniques to Estimate Climate Sensitivity*". Journal of Climate. 26 (19): 7414–29. Bibcode:2013JCli...26.7414L. doi:10.1175/jcli-d-12-00473.1.
- Fasullo, John T.; Trenberth, Kevin E. (9 November 2012), "A Less Cloudy Future: The Role of Subtropical Subsidence in Climate Sensitivity", Science, 338 (6108): 792–94, Bibcode:2012Sci...338..792F, doi:10.1126/science.1227465, PMID 23139331. Referred to by: ScienceDaily (8 November 2012), Future warming likely to be on high side of climate projections, analysis finds, ScienceDaily
- Previdi, M.; et al. (20 June 2013). "Climate sensitivity in the Anthropocene". Quarterly Journal of the Royal Meteorological Society. 139 (674): 1121–31. Bibcode:2013QJRMS.139.1121P. doi:10.1002/qj.2165.
- Lewis, Nicholas; Curry, Judith A. (25 September 2014). "The implications for climate sensitivity of AR5 forcing and heat uptake estimates". Climate Dynamics. 45 (3–4): 1009–23. Bibcode:2015ClDy...45.1009L. doi:10.1007/s00382-014-2342-y.
- Knutti, Reto; Hegerl, Gabriele C. (26 October 2008). "The equilibrium sensitivity of the Earth's temperature to radiation changes". Nature Geoscience. 1 (11): 735–43. Bibcode:2008NatGe...1..735K. doi:10.1038/ngeo337. Retrieved 3 July 2010.. This paper can be freely downloaded from Prof. Reto Knutti's webpage at the Institute for Atmospheric and Climate Science, Zürich, Switzerland.
- Knutti, Reto; Rugenstein, Maria A. A.; Hegerl, Gabriele C. (4 September 2017). "Beyond equilibrium climate sensitivity" (PDF). Nature Geoscience. 10 (10): 727–36. Bibcode:2017NatGe..10..727K. doi:10.1038/ngeo3017.
- Forster, Piers M. (June 2016). "Inference of Climate Sensitivity from Analysis of Earth's Energy Budget" (PDF). Annual Review of Earth and Planetary Sciences. 44: 85–106. Bibcode:2016AREPS..44...85F. doi:10.1146/annurev-earth-060614-105156.
- Climate Change: The IPCC Scientific Assessment (1990), Report prepared for Intergovernmental Panel on Climate Change by Working Group I, J.T. Houghton, G.J. Jenkins and J.J. Ephraums (eds.), chapter 2, Radiative Forcing of Climate, pp. 41–68
- Camp, Charles D.; Tung, Ka Kit (18 July 2007). "Surface warming by the solar cycle as revealed by the composite mean difference projection" (PDF). Geophysical Research Letters. 34 (14): L14703. Bibcode:2007GeoRL..3414703C. doi:10.1029/2007GL030207. Archived from the original (PDF) on 13 January 2012. Retrieved 20 January 2012.
- Tung, Ka Kit; Zhou, Jiansong; Camp, Charles D. (12 September 2008). "Constraining model transient climate response using independent observations of solar-cycle forcing and response" (PDF). Geophysical Research Letters. 35 (17): L17707. Bibcode:2008GeoRL..3517707T. doi:10.1029/2008GL034240.
- IPCC AR4 WG1 (2007), Solomon, S.; Qin, D.; Manning, M.; Chen, Z.; Marquis, M.; Averyt, K.B.; Tignor, M.; Miller, H.L., eds., Climate Change 2007: The Physical Science Basis, Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, ISBN 978-0-521-88009-1 (pb: 978-0-521-70596-7).