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Climate change feedbacks

From Wikipedia, the free encyclopedia
Feedback related to climate change
"Climate feedback" redirects here. For the fact-checking website, seeClimate Feedback.
The relative magnitude of the top 6 climate change feedbacks and what they influence.Positive feedbacks amplify the global warming response togreenhouse gas emissions andnegative feedbacks reduce it.[1] In this chart, the horizontal lengths of the red and blue bars indicate the strength of respective feedbacks.

Climate change feedbacks are natural processes that impact how much global temperatures will increase for a given amount ofgreenhouse gas emissions.Positive feedbacks amplify global warming whilenegative feedbacks diminish it.[2]: 2233  Feedbacks influence both the amount ofgreenhouse gases in the atmosphere and the amount oftemperature change that happens in response. While emissions are theforcing that causes climate change, feedbacks combine to controlclimate sensitivity to that forcing.[3]: 11 

While the overall sum of feedbacks is negative, it is becoming less negative asgreenhouse gas emissions continue. This means that warming is slower than it would be in the absence of feedbacks, but that warming will accelerate if emissions continue at current levels.[4]: 95–96  Net feedbacks will stay negative largely because ofincreased thermal radiation as the planet warms, which is an effect that is several times larger than any other singular feedback.[4]: 96  Accordingly, anthropogenic climate change alone cannot cause arunaway greenhouse effect.[5][6]

Feedbacks can be divided into physical feedbacks and partially biological feedbacks. Physical feedbacks include decreasedsurface reflectivity (from diminished snow and ice cover) and increased water vapor in the atmosphere.Water vapor is not only a powerful greenhouse gas, it also influences feedbacks in the distribution ofclouds andtemperatures in the atmosphere. Biological feedbacks are mostly associated with changes to the rate at which plant matter accumulates CO2 as part of thecarbon cycle.[7]: 967  The carbon cycle absorbs more than half of CO2 emissions every yearinto plants and into the ocean.[8]: 676  Over the long term the percentage will be reduced ascarbon sinks become saturated and higher temperatures lead to effects likedrought andwildfires.[8]: 698 [4]: 96 [3]: 20 

Feedback strengths and relationships are estimated through globalclimate models, with their estimates calibrated against observational data whenever possible.[4]: 967  Some feedbacks rapidly impact climate sensitivity, while the feedback response fromice sheets is drawn out over several centuries.[7]: 967  Feedbacks can also result in localized differences, such aspolar amplification resulting from feedbacks that include reduced snow and ice cover. While basic relationships are well understood, feedback uncertainty exists in certain areas, particularly regarding cloud feedbacks.[9][10] Carbon cycle uncertainty is driven by the large rates at which CO2 is both absorbed into plants and released when biomass burns or decays. For instance,permafrost thaw produces both CO2 andmethane emissions in ways that are difficult to model.[8]: 677 Climate change scenarios use models to estimate how Earth will respond to greenhouse gas emissions over time, including how feedbacks will change as the planet warms.[11]

Definition and terminology

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See also:Climate system,positive feedback, andnegative feedback

ThePlanck response is the additionalthermal radiation objects emit as they get warmer. Whether Planck response is a climate change feedback depends on the context. Inclimate science the Planck response can be treated as an intrinsic part of warming that is separate fromradiative feedbacks andcarbon cycle feedbacks. However, the Planck response is included when calculatingclimate sensitivity.[4]: 95–96 

A feedback thatamplifies an initial change is called apositive feedback[12] while a feedback thatreduces an initial change is called anegative feedback.[12] Climate change feedbacks are in the context of global warming, so positive feedbacks enhance warming and negative feedbacks diminish it. Naming a feedbackpositive ornegative does not imply that the feedback is good or bad.[13]

The initial change that triggers a feedback may beexternally forced, or may arise through theclimate system'sinternal variability.[2]: 2222 External forcing refers to "a forcing agent outside the climate system causing a change in the climate system"[2]: 2229  that may push the climate system in the direction of warming or cooling.[14][15] External forcings may be human-caused (for example,greenhouse gas emissions orland use change) or natural (for example,volcanic eruptions).[2]: 2229 

Physical feedbacks

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Planck response (negative)

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Climate change occurs becausethe amount of thermal radiation absorbed by different parts of the Earth's environment currently exceeds the amount radiated away to space.[16] As the warming increases, outgoing radiation to space increases quickly due to the Planck response, which eventually helps to stabilize the Earth at some higher temperature level[17]

Planck response is "the most fundamental feedback in the climate system".[18]: 19  As the temperature of ablack body increases, the emission of infrared radiation increases with thefourth power of itsabsolute temperature according to theStefan–Boltzmann law. This increases the amount ofoutgoing radiation back into space as the Earth warms.[17] It is a strong stabilizing response and has sometimes been called the "no-feedback response" because it is anintensive property of a thermodynamic system when considered to be purely a function of temperature.[19] Although Earth has an effectiveemissivity less than unity, the ideal black body radiation emerges as a separable quantity when investigating perturbations to the planet's outgoing radiation.

The Planck "feedback" orPlanck response is the comparable radiative response obtained from analysis of practical observations orglobal climate models (GCMs). Its expected strength has been most simply estimated from the derivative of theStefan-Boltzmann equation as −4σT3 = −3.8 W/m2·K (watts per square meter per degree of warming).[17][19] Accounting from GCM applications has sometimes yielded a reduced strength, as caused byextensive properties of the stratosphere and similarresidual artifacts subsequently identified as being absent from such models.[19]

Most extensive "grey body" properties of Earth that influence the outgoing radiation are usually postulated to be encompassed by the other GCM feedback components, and to be distributed in accordance with a particularforcing-feedback framework.[20] Ideally the Planck response strength obtained from GCMs, indirect measurements, and black body estimates will further converge as analysis methods continue to mature.[19]

Water vapor feedback (positive)

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Atmospheric gases only absorb some wavelengths of energy but are transparent to others. The absorption patterns of water vapor (blue peaks) and carbon dioxide (pink peaks) overlap in some wavelengths.[21]

According toClausius–Clapeyron relation,saturation vapor pressure is higher in a warmer atmosphere, and so the absolute amount of water vapor will increase as the atmosphere warms. It is sometimes also called thespecific humidity feedback,[7]: 969  becauserelative humidity (RH) stays practically constant over the oceans, but it decreases over land.[22] This occurs because land experiences faster warming than the ocean, and a decline in RH has been observed after the year 2000.[4]: 86 

Since water vapor is agreenhouse gas, the increase in water vapor content makes the atmosphere warm further, which allows the atmosphere to hold still more water vapor. Thus, a positive feedback loop is formed, which continues until the negative feedbacks bring the system to equilibrium.[7]: 969  Increases in atmospheric water vapor have been detected fromsatellites, and calculations based on these observations place this feedback strength at 1.85 ± 0.32 W/m2·K. This is very similar to model estimates, which are at 1.77 ± 0.20 W/m2·K[7]: 969  Either value effectively doubles the warming that would otherwise occur from CO2 increases alone.[23] Like with the other physical feedbacks, this is already accounted for in the warming projections underclimate change scenarios.[11]

Lapse rate (negative)

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Main article:Lapse rate
Lapse rate (green) is a negative feedback everywhere on Earth besides the polarlatitudes. The net climate feedback (black) becomes less negative if it were excluded (orange)[24]

Thelapse rate is the rate at which an atmospheric variable, normallytemperature inEarth's atmosphere, falls withaltitude.[25][26] It is therefore a quantification of temperature, related to radiation, as a function of altitude, and is not a separate phenomenon in this context. The lapse rate feedback is generally a negative feedback. However, it is in fact a positive feedback in polar regions where it strongly contributed to polar amplified warming, one of the biggest consequences of climate change.[27] This is because in regions with stronginversions, such as the polar regions, the lapse rate feedback can be positive because the surface warms faster than higher altitudes, resulting in inefficientlongwave cooling.[28][29][30]

The atmosphere's temperature decreases with height in thetroposphere. Since emission of infrared radiation varies with temperature,longwave radiation escaping to space from the relatively cold upper atmosphere is less than that emitted toward the ground from the lower atmosphere. Thus, the strength of the greenhouse effect depends on the atmosphere's rate of temperature decrease with height. Both theory and climate models indicate that global warming will reduce the rate of temperature decrease with height, producing a negativelapse rate feedback that weakens the greenhouse effect.[28]

Surface albedo feedback (positive)

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Main articles:Arctic sea ice decline andIce–albedo feedback
Average decadal extent and area of the Arctic Ocean sea ice since 1979.
Average decadal extent and area of the Arctic Ocean sea ice since the start of satellite observations.
Annual trend in the Arctic sea ice extent and area for the 2011-2022 time period.
Annual trend in the Arctic sea ice extent and area for the 2011-2022 time period.

Albedo is the measure of how strongly the planetary surface can reflect solar radiation, which prevents its absorption and thus has a cooling effect. Brighter and more reflective surfaces have a high albedo and darker surfaces have a low albedo, so they heat up more. The most reflective surfaces areice andsnow, so surface albedo changes are overwhelmingly associated with what is known as the ice-albedo feedback. A minority of the effect is also associated with changes inphysical oceanography,soil moisture and vegetation cover.[7]: 970 

The presence of ice cover andsea ice makes theNorth Pole and theSouth Pole colder than they would have been without it.[31] Duringglacial periods, additional ice increases the reflectivity and thus lowers absorption of solar radiation, cooling the planet.[32] But when warming occurs and the ice melts, darker land or open water takes its place and this causes more warming, which in turn causes more melting. In both cases, a self-reinforcing cycle continues until an equilibrium is found.[33][34] Consequently, recentArctic sea ice decline is a key reason behind the Arctic warming nearly four times faster than the global average since 1979 (the start of continuous satellite readings), in a phenomenon known asArctic amplification.[35][36] Conversely, the high stability of ice cover inAntarctica, where theEast Antarctic ice sheet rises nearly 4 km above the sea level, means that it has experienced very little net warming over the past seven decades.[37][38][39][40]

Aerial photograph showing a section of sea ice. The lighter blue areas aremelt ponds and the darkest areas are open water; both have a lower albedo than the white sea ice, so their presence increases local and global temperatures, which helps to spur more melting

As of 2021, the total surface feedback strength is estimated at 0.35 [0.10 to 0.60] W/m2·K.[4]: 95  On its own, Arctic sea ice decline between 1979 and 2011 was responsible for 0.21 (W/m2) ofradiative forcing. This is equivalent to a quarter of impact from CO2 emissions over the same period.[34] The combined change in all sea ice cover between 1992 and 2018 is equivalent to 10% of all the anthropogenicgreenhouse gas emissions.[41] Ice-albedo feedback strength is not constant and depends on the rate of ice loss - models project that under high warming, its strength peaks around 2100 and declines afterwards, as most easily melted ice would already be lost by then.[42]

WhenCMIP5 models estimate a total loss of Arctic sea ice cover from June to September (a plausible outcome under higher levels of warming), it increases the global temperatures by 0.19 °C (0.34 °F), with a range of 0.16–0.21 °C, while the regional temperatures would increase by over 1.5 °C (2.7 °F). These calculations include second-order effects such as the impact from ice loss on regional lapse rate, water vapor and cloud feedbacks,[43] and do not cause "additional" warming on top of the existing model projections.[44]

Cloud feedback (positive)

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Details of how clouds interact with shortwave and longwave radiation at different atmospheric heights[45]
Main article:Cloud feedback

Seen from below, clouds emit infrared radiation back to the surface, which has a warming effect; seen from above, clouds reflect sunlight and emit infrared radiation to space, leading to a cooling effect. Low clouds are bright and very reflective, so they lead to strong cooling, while high clouds are too thin and transparent to effectively reflect sunlight, so they cause overall warming.[46] As a whole, clouds have a substantial cooling effect.[7]: 1022  However, climate change is expected to alter the distribution of cloudtypes in a way which collectively reduces their cooling and thus accelerates overall warming.[7]: 975  While changes to clouds act as a negative feedback in some latitudes,[24] they represent a clear positive feedback on a global scale.[4]: 95 

As of 2021, cloud feedback strength is estimated at 0.42 [–0.10 to 0.94] W/m2·K.[4]: 95  This is the largestconfidence interval of any climate feedback, and it occurs because some cloud types (most of which are present over the oceans) have been very difficult to observe, so climate models don't have as much data to go on with when they attempt to simulate their behaviour.[7]: 975  Additionally, clouds have been strongly affected byaerosol particles, mainly from the unfiltered burning ofsulfur-rich fossil fuels such ascoal andbunker fuel. Any estimate of cloud feedback needs to disentangle the effects of so-calledglobal dimming caused by these particles as well.[47][48]

Thus, estimates of cloud feedback differ sharply between climate models. Models with the strongest cloud feedback have the highestclimate sensitivity, which means that they simulate much stronger warming in response to a doubling of CO2 (or equivalentgreenhouse gas) concentrations than the rest.[9][10] Around 2020, a small fraction of models was found to simulate so much warming as the result that they had contradictedpaleoclimate evidence fromfossils,[49][50] and their output was effectively excluded from the climate sensitivity estimate of theIPCC Sixth Assessment Report.[4]: 93 [51]

Biogeophysical and biogeochemical feedbacks

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CO2 feedbacks (mostly negative)

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See also:Carbon cycle andSoil carbon feedback
This diagram of thefast carbon cycle shows the movement of carbon between land, atmosphere, soil and oceans in billions of tons of carbon per year. Yellow numbers are natural fluxes, red are human contributions in billions of tons of carbon per year. White numbers indicate stored carbon.

There are positive and negative climate feedbacks from Earth's carbon cycle. Negative feedbacks are large, and play a great role in the studies ofclimate inertia or of dynamic (time-dependent) climate change. Because they are consideredrelatively insensitive to temperature changes, they are sometimes considered separately or disregarded in studies which aim to quantify climate sensitivity.[20][52] Global warming projections have includedcarbon cycle feedbacks since theIPCC Fourth Assessment Report (AR4) in 2007.[53] While the scientific understanding of these feedbacks was limited at the time, it had improved since then.[54] These positive feedbacks include an increase inwildfire frequency and severity, substantial losses fromtropical rainforests due to fires and drying and tree losses elsewhere.[8]: 698 

TheAmazon rainforest is a well-known example due to its enormous size and importance, and because the damage it experiences from climate change is exacerbated by the ongoingdeforestation. The combination of two threats can potentially transform much or all of the rainforest to asavannah-like state,[55][56][57] although this would most likely require relatively high warming of 3.5 °C (6.3 °F).[58][59]

Altogether,carbon sinks in the land and ocean absorb around half of the current emissions. Their future absorption is dynamic. In the future, if the emissions decrease, the fraction they absorb willincrease, and they will absorb up to three-quarters of the remaining emissions - yet, theraw amount absorbed will decrease from the present. On the contrary, if the emissions will increase, then the raw amount absorbed will increase from now, yet the fraction could decline to one-third by the end of the 21st century.[3]: 20  If the emissions remain very high after the 21st century, carbon sinks would eventually be completely overwhelmed, with the ocean sink diminished further and land ecosystems outright becoming a net source.[8]: 677  Hypothetically, very strongcarbon dioxide removal could also result in land and ocean carbon sinks becoming net sources for several decades.[8]: 677 

Role of oceans

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Theimpulse response following a 100 GtC injection of CO2 into Earth's atmosphere.[60] The majority of excess carbon is removed by ocean and landsinks in less than a few centuries, while a substantial portion persists.

FollowingLe Chatelier's principle, the chemical equilibrium of the Earth'scarbon cycle will shift in response to anthropogenic CO2 emissions. The primary driver of this is the ocean, which absorbs anthropogenic CO2 via the so-calledsolubility pump. At present this accounts for only about one third of the current emissions, but ultimately most (~75%) of the CO2 emitted by human activities will dissolve in the ocean over a period of centuries: "A better approximation of the lifetime of fossil fuel CO2 for public discussion might be 300 years, plus 25% that lasts forever".[61] However, the rate at which the ocean will take it up in the future is less certain, and will be affected bystratification induced by warming and, potentially, changes in the ocean'sthermohaline circulation. It is believed that the single largest factor in determining the total strength of the global carbon sink is the state of theSouthern Ocean - particularly of theSouthern Ocean overturning circulation.[5]

Chemical weathering

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Chemical weathering over the geological long term acts to remove CO2 from the atmosphere. With currentglobal warming, weathering is increasing, demonstrating significant feedbacks between climate and Earth surface.[62]Biosequestration also captures and stores CO2 by biological processes. The formation ofshells by organisms in the ocean, over a very long time, removes CO2 from the oceans.[63] The complete conversion of CO2 to limestone takes thousands to hundreds of thousands of years.[64]

Primary production through photosynthesis

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Increase in global leaf area between 1982 and 2015, which was primarily caused by the CO2 fertilization effect[65]

Net primary productivity of plants' andphytoplankton grows as the increased CO2 fuels their photosynthesis in what is known as theCO2 fertilization effect. Additionally, plants require less water as the atmospheric CO2 concentrations increase, because they lose less moisture toevapotranspiration through openstomata (the pores in leaves through which CO2 is absorbed). However, increased droughts in certain regions can still limit plant growth, and the warming beyond optimum conditions has a consistently negative impact. Thus, estimates for the 21st century show that plants would become a lot more abundant at high latitudes near the poles but grow much less near the tropics - there is onlymedium confidence that tropical ecosystems would gain more carbon relative to now. However, there ishigh confidence that the total land carbon sink will remain positive.[8]: 677 

Non-CO2 climate-relevant gases (unclear)

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Methane climate feedbacks in natural ecosystems.

Release of gases of biological origin would be affected by global warming, and this includes climate-relevant gases such asmethane,nitrous oxide ordimethyl sulfide.[66][67] Others, such asdimethyl sulfide released from oceans, have indirect effects.[68] Emissions of methane from land (particularlyfrom wetlands) and of nitrous oxide from land and oceans are a known positive feedback.[69] I.e. long-term warming changes the balance in the methane-related microbial community within freshwater ecosystems so they produce more methane while proportionately less is oxidised to carbon dioxide.[70] There would also be biogeophysical changes which affect the albedo. For instance,larch in some sub-arctic forests are being replaced byspruce trees. This has a limited contribution to warming, because larch trees shed their needles in winter and so they end up more extensively covered in snow than the spruce trees which retain their dark needles all year.[71]

On the other hand, changes in emissions of compounds such sea salt, dimethyl sulphide, dust, ozone and a range of biogenic volatile organic compounds are expected to be negative overall. As of 2021, all of these non-CO2 feedbacks are believed to practically cancel each other out, but there is only low confidence, and the combined feedbacks could be up to 0.25 W/m2·K in either direction.[7]: 967 

Permafrost (positive)

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Permafrost is not included in the estimates above, as it is difficult to model, and the estimates of its role is strongly time-dependent as its carbon pools are depleted at different rates under different warming levels.[7]: 967  Instead, it is treated as a separate process that will contribute to near-term warming, with the best estimates shown below.

This section is an excerpt fromPermafrost § Impact on global temperatures.[edit]
Nine probable scenarios ofgreenhouse gas emissions from permafrost thaw during the 21st century, which show a limited, moderate and intense CO2 andCH4 emission response to low, medium and high-emissionRepresentative Concentration Pathways. The vertical bar uses emissions of selected large countries as a comparison: the right-hand side of the scale shows their cumulative emissions since the start of theIndustrial Revolution, while the left-hand side shows each country's cumulative emissions for the rest of the 21st century if they remained unchanged from their 2019 levels.[72]

Altogether, it is expected that cumulative greenhouse gas emissions from permafrost thaw will be smaller than the cumulative anthropogenic emissions, yet still substantial on a global scale, with some experts comparing them to emissions caused bydeforestation.[72] TheIPCC Sixth Assessment Report estimates that carbon dioxide and methane released from permafrost could amount to the equivalent of 14–175 billion tonnes of carbon dioxide per 1 °C (1.8 °F) of warming.[73]: 1237  For comparison, by 2019, annual anthropogenic emissions of carbon dioxide alone stood around 40 billion tonnes.[73]: 1237  A major review published in the year 2022 concluded that if the goal of preventing 2 °C (3.6 °F) of warming was realized, then the average annual permafrost emissions throughout the 21st century would be equivalent to the year 2019 annual emissions of Russia. Under RCP4.5, a scenario considered close to the current trajectory and where the warming stays slightly below 3 °C (5.4 °F), annual permafrost emissions would be comparable to year 2019 emissions of Western Europe or the United States, while under the scenario of high global warming and worst-case permafrost feedback response, they would approach year 2019 emissions of China.[72]

Fewer studies have attempted to describe the impact directly in terms of warming. A 2018 paper estimated that if global warming was limited to 2 °C (3.6 °F), gradual permafrost thaw would add around 0.09 °C (0.16 °F) to global temperatures by 2100,[74] while a 2022 review concluded that every 1 °C (1.8 °F) of global warming would cause 0.04 °C (0.072 °F) and 0.11 °C (0.20 °F) from abrupt thaw by the year 2100 and 2300. Around 4 °C (7.2 °F) of global warming, abrupt (around 50 years) and widespread collapse of permafrost areas could occur, resulting in an additional warming of 0.2–0.4 °C (0.36–0.72 °F).[75][76]

A study published in 2024 inNature Climate Change found that coastal erosion in the Arctic, driven by permafrost thaw, reduces the ocean's capacity to absorb carbon dioxide, thereby triggering additional carbon–climate feedbacks in the region.[77]

Long-term feedbacks

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Ice sheets

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The loss of albedo from major ice areas on Earth adds to warming: the values shown are for the initial warming of 1.5 °C (2.7 °F).[43] Total ice sheet loss requires multiple millennia: the others can be lost in a century or two[58][59]

The Earth's two remaining ice sheets, theGreenland ice sheet and theAntarctic ice sheet, cover the world's largest island and an entire continent, and both of them are also around 2 km (1 mi) thick on average.[78][79] Due to this immense size, their response to warming is measured in thousands of years and is believed to occur in two stages.[7]: 977 

The first stage would be the effect from ice melt onthermohaline circulation. Becausemeltwater is completely fresh, it makes it harder for the surface layer of water to sink beneath the lower layers, and this disrupts the exchange of oxygen, nutrients and heat between the layers. This would act as a negative feedback - sometimes estimated as a cooling effect of 0.2 °C (0.36 °F) over a 1000-year average, though the research on these timescales has been limited.[7]: 977  An even longer-term effect is the ice-albedo feedback from ice sheets reaching their ultimate state in response to whatever the long-term temperature change would be. Unless the warming is reversed entirely, this feedback would be positive.[7]: 977 

The total loss of the Greenland Ice Sheet is estimated to add 0.13 °C (0.23 °F) to global warming (with a range of 0.04–0.06 °C), while the loss of the West Antarctic Ice Sheet adds 0.05 °C (0.090 °F) (0.04–0.06 °C), and East Antarctic ice sheet 0.6 °C (1.1 °F)[43] Total loss of the Greenland ice sheet would also increase regional temperatures in the Arctic by between 0.5 °C (0.90 °F) and 3 °C (5.4 °F), while the regional temperature in Antarctica is likely to go up by 1 °C (1.8 °F) after the loss of the West Antarctic ice sheet and 2 °C (3.6 °F) after the loss of the East Antarctic ice sheet.[58][59]

These estimates assume that global warming stays at an average of 1.5 °C (2.7 °F). Because of thelogarithmic growth of thegreenhouse effect,[4]: 80  the impact from ice loss would be larger at the slightly lower warming level of 2020s, but it would become lower if the warming proceeds towards higher levels.[43] While Greenland and the West Antarctic ice sheet are likely committed to melting entirely if the long-term warming is around 1.5 °C (2.7 °F), the East Antarctic ice sheet would not be at risk of complete disappearance until the very high global warming of 5–10 °C (9.0–18.0 °F)[58][59]

Methane hydrates

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See also:Clathrate gun hypothesis

Methane hydrates ormethane clathrates are frozen compounds where a large amount ofmethane is trapped within acrystal structure of water, forming a solid similar toice.[80] On Earth, they generally lie beneathsediments on theocean floors, (approximately 1,100 m (3,600 ft) below the sea level).[81] Around 2008, there was a serious concern that a large amount of hydrates from relatively shallow deposits in the Arctic, particularly around theEast Siberian Arctic Shelf, could quickly break down and release large amounts of methane, potentially leading to 6 °C (11 °F) within 80 years.[82][83] Current research shows that hydrates react very slowly to warming, and that it's very difficult for methane to reach the atmosphere after dissociation on the seafloor.[84][85] Thus, no "detectable" impact on the global temperatures is expected to occur in this century due to methane hydrates.[8]: 677  Some research suggests hydrate dissociation can still cause a warming of 0.4–0.5 °C (0.72–0.90 °F) over several millennia.[86]

Forcing-feedback formulation of climate sensitivity

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Earth is athermodynamic system for which long-term temperature changes follow theglobal energy imbalance (EEI stands forEarth's energy imbalance):

EEIASROLR{\displaystyle EEI\equiv ASR-OLR}

whereASR is the absorbedsolar radiation andOLR is theoutgoing longwave radiation at top of atmosphere. WhenEEI is positive the system is warming, when it is negative they system is cooling, and when it is approximately zero then there is neither warming or cooling. TheASR andOLR terms in this expression encompass many temperature-dependent properties and complex interactions that govern system behavior.[87]

In order to diagnose that behavior around arelatively stableequilibrium state, one may consider aperturbation toEEI as indicated by the symbol Δ. Such a perturbation is typically induced by aradiative forcing (ΔF) which can be natural or man-made. Responses within the system to either return towards the stable state, or to move further away from the stable state are called feedbacksλΔT:

ΔEEI=ΔF+λΔT{\displaystyle \Delta EEI=\Delta F+\lambda \Delta T}.

A feedback is athermodynamic process while a forcing is athermodynamic operation according toclassical principles.

Collectively the feedbacks may be approximated by thelinearized parameterλ and the perturbed temperatureΔT because all components of λ (assumed to be first-order to act independently and additively) are also functions of temperature, albeit to varying extents, by definition for a thermodynamic system:

λ=iλi=(λwv+λc+λa+λcc+λp+λlr+...){\displaystyle \lambda =\sum _{i}\lambda _{i}=(\lambda _{wv}+\lambda _{c}+\lambda _{a}+\lambda _{cc}+\lambda _{p}+\lambda _{lr}+...)}.

Some feedback components having significant influence onEEI are:wv{\displaystyle wv}= water vapor,c{\displaystyle c}= clouds,a{\displaystyle a}= surface albedo,cc{\displaystyle cc}= carbon cycle,p{\displaystyle p}= Planck response, andlr{\displaystyle lr}= lapse rate. All quantities are understood to be global averages, whileT is usually translated to temperature at the surface because of its direct relevance to humans and much other life.[20]

The negative Planck response, being an especially strong function of temperature, is sometimes factored out to give an expression in terms of the relative feedback gainsgi from other components:

λ=¬λp×(1igi){\displaystyle \lambda =\neg \lambda _{p}\times (1-\sum _{i}g_{i})}.

For examplegwv0.5{\displaystyle g_{wv}\approx 0.5} for the water vapor feedback.

Within the context of modern numerical climate modelling and analysis, the linearized formulation has limited use. One such use is to diagnose the relative strengths of different feedback mechanisms. An estimate ofclimate sensitivity to a forcing is then obtained for the case where the net feedback remains negative and the system reaches a new equilibrium state (ΔEEI=0) after some time has passed:[18]: 19–20 

ΔT=ΔFλp×(1igi){\displaystyle \Delta T={\frac {\Delta F}{\lambda _{p}\times (1-\sum _{i}g_{i})}}}.

Implications for climate policy

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See also:Climate sensitivity
diagram showing five historical estimates of equilibrium climate sensitivity by the IPCC
Historical estimates of climate sensitivity from the IPCC assessments. The first three reports gave a qualitative likely range, and the next three had formally quantified it, by adding >66% likely range (dark blue).[88][4]: 96  This uncertainty primarily depends on feedbacks.[9][10]

Uncertainty over climate change feedbacks has implications for climate policy. For instance, uncertainty over carbon cycle feedbacks may affect targets for reducing greenhouse gas emissions (climate change mitigation).[89] Emissions targets are often based on a target stabilization level of atmospheric greenhouse gas concentrations, or on a target for limiting global warming to a particular magnitude. Both of these targets (concentrations or temperatures) require an understanding of future changes in the carbon cycle.[8]: 678 

If models incorrectly project future changes in the carbon cycle, then concentration or temperature targets could be missed. For example, if models underestimate the amount of carbon released into the atmosphere due to positive feedbacks (e.g., due to thawing permafrost), then they may also underestimate the extent of emissions reductions necessary to meet a concentration or temperature target.[8]: 678 [90]

See also

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References

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  1. ^"(a) Feedbacks in the climate system / (b) Carbon-cycle climate feedbacks".IPCC.ch. Intergovernmental Panel on Climate Change. November 2022.Archived from the original on 2 May 2024. AR6 WG1 Technical Summary Fig. TS-17.
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