Taking both the upper limit of the 4 — 5 C warming range and a lower limit for the forcing change, deducting Kohler's 1.9 W / m2 upper limit of uncertainty from the 9.5 W /
m2 change in forcing, implies an upper bound for the ECS estimate of 2.44 C.
Not exact matches
That is, a
change in radiative
forcing of about 4 W /
m2 would give around 1 °C warming.
The total
forcing from the trace greenhouse gases mentioned
in Step 3, is currently about 2.5 W /
m2, and the net
forcing (including cooling impacts of aerosols and natural
changes) is 1.6 ± 1.0 W /
m2 since the pre-industrial.
While a relatively minor part of the overall aerosol mass,
changes in the anthropogenic portion of aerosols since 1750 have resulted
in a globally averaged net radiative
forcing of roughly -1.2 W /
m2,
in comparison to the overall average CO2
forcing of +1.66 W /
m2.
We can estimate this independently using the
changes in ocean heat content over the last decade or so (roughly equal to the current radiative imbalance) of ~ 0.7 W /
m2, implying that this «unrealised»
forcing will lead to another 0.7 × 0.75 ºC — i.e. 0.5 ºC.
The
change in temperature you'd need to balance a
forcing of 4 W /
m2 with no feedbacks is around 1.2 ºC and the difference between that and the real sensitivity (around 3 ºC) is a measure of how strong the net feedbacks are.
The
forcing over the last 150 years is around 1.6 W /
m2 (including cooling effects from aerosols and land use
change) but the climate is not (yet)
in equilibirum, and so the full temperature response has not been acheived.
Forcings, measured
in W /
m2 averaged over the globe, are imposed perturbations of Earth's energy balance caused by
changing forcing agents such as solar irradiance and human - made greenhouse gases (GHGs).
Earth's measured energy imbalance has been used to infer the climate
forcing by aerosols, with two independent analyses yielding a
forcing in the past decade of about − 1.5 W /
m2 [64], [72], including the direct aerosol
forcing and indirect effects via induced cloud
changes.
While the local, seasonal climate
forcing by the Milankovitch cycles is large (of the order 30 W /
m2), the net
forcing provided by Milankovitch is close to zero
in the global mean, requiring other radiative terms (like albedo or greenhouse gas anomalies) to
force global - mean temperature
change.
Gerald Marsh offered this opinion
in «A Global Warming Primer» (page 4 - excerpt) «Radiative
forcing is defined as the
change in net downward radiative flux at the tropopause resulting from any process that acts as an external agent to the climate system; it is generally measured
in W /
m2.
The total
forcing from the trace greenhouse gases mentioned
in Step 3, is currently about 2.5 W /
m2, and the net
forcing (including cooling impacts of aerosols and natural
changes) is 1.6 ± 1.0 W /
m2 since the pre-industrial.
Given the economic tenor of many news stories, an analogy to inflation may be useful
in clarifying the idea of slow but steady radiative bracket creep, as the CO2
forcing can be outlined
in terms of its effect on the radiative balance, which reduces to watts /
M2 and their rate of
change.
Whether and when we reach 2 W /
m2 total
forcing is a function of the
changes in many different
forcings.
So given a
forcing (
in this case 0.85 W /
m2 (= 1.6 W /
m2 minus 0.75 W /
m2 for the ocean heat content
change), and a temperature
change 0.7 °C, the sensitivity is 0.7 / 0.85 = ~ 0.8 °C / (W /
m2)(leaving off the error bars for clarity)- gavin]
The 4 W /
m2 solar constant
change you quote (which is at the high end), is around 0.7 W /
m2 in global annual mean radiaitve
forcing, compared to 2.4 W /
m2 from CO2 + CH4 + N2O — still a small number.
The climate sensitivity is the proportionality constant between the
forcings (
in W /
m2) and the temperature
change (°C).
The solar irradiance
forcing is given as 0.4 + / - 0.2 W /
m2 since 1850 (Fig 18, panel 1, Hansen et al, 2002 — note the the zero was not an uncertainty
in panel 2, it was just what was put
in that version of the model — i.e. they did not
change solar then).
The 4 W /
m2 TOA
forcing is the consequence of an imposed
change in CO2 — all
changes to LW absorption
in the atmosphere as a consequence of that initial
change (through water vapour, cloud or temperature profile responses) are feedbacks.
That is, a
change in radiative
forcing of about 4 W /
m2 would give around 1 °C warming.
«Specifically, the IPCC gives (
change in forcing) dF = 6.3 ln (C / C0) W /
m2 where dF is the
change in forcing, and C0 and C are the initial and final carbon dioxide concentrations.
You can even go one better — if you ignore the fact that there are negative
forcings in the system as well (cheifly aerosols and land use
changes), the
forcing from all the warming effects is larger still (~ 2.6 W /
m2), and so the implied sensitivity even smaller!
The CO2 and CH4 concentration
changes can be converted to radiative
forcing in W /
m2 based on standard formulas.
First, for
changing just CO2
forcing (or CH4, etc, or for a non-GHE
forcing, such as a
change in incident solar radiation, volcanic aerosols, etc.), there will be other GHE radiative «
forcings» (feedbacks, though
in the context of measuring their radiative effect, they can be described as having radiative
forcings of x W /
m2 per
change in surface T), such as water vapor feedback, LW cloud feedback, and also, because GHE depends on the vertical temperature distribution, the lapse rate feedback (this generally refers to the tropospheric lapse rate, though
changes in the position of the tropopause and
changes in the stratospheric temperature could also be considered lapse - rate feedbacks for
forcing at TOA;
forcing at the tropopause with stratospheric adjustment takes some of that into account; sensitivity to
forcing at the tropopause with stratospheric adjustment will generally be different from sensitivity to
forcing without stratospheric adjustment and both will generally be different from
forcing at TOA before stratospheric adjustment;
forcing at TOA after stratospehric adjustment is identical to
forcing at the tropopause after stratospheric adjustment).
In other words, your equations act as if the change in forcing from one year to the next must be within + / - 4 W / m
In other words, your equations act as if the
change in forcing from one year to the next must be within + / - 4 W / m
in forcing from one year to the next must be within + / - 4 W /
m2.
There is a couple tenths of a W /
m2 of long - term solar
forcing (warming) that is inferred the observed
changes in the sunspot cycle (which we include
in our climate simulations, including the UV variations).
In this report radiative forcing values are for changes relative to preindustrial conditions defined at 1750 and are expressed in Watts per square meter (W / m2).&raqu
In this report radiative
forcing values are for
changes relative to preindustrial conditions defined at 1750 and are expressed
in Watts per square meter (W / m2).&raqu
in Watts per square meter (W /
m2).»
How stable is the atmosphere at present under a total anthropogenic GHG
forcing — since 1750AD — of 1.6 Watt /
m2 (Figure SPM - 2
in the IPCC «Climate
Change 2007: The Physical Science Basis»)?
Especially a kick of 2 W /
m2 in a century which is a much higher rate of
change than the orbital
forcing that is measured
in W /
m2 per millennium.
Forcing changes are immediately seen, volcanoes too, and CO2 with its 2 W /
m2 so far as seen
in the graph plotted above.
Where «dT» is the
change in the Earth's average surface temperature, «λ» is the climate sensitivity, usually with units
in Kelvin or degrees Celsius per Watts per square meter (°C / [W /
m2]-RRB-, and «dF» is the radiative
forcing.
Correct, when you look at the global temperature
changes in 11 - year solar cycles, the sensitivity to the
forcing change is almost 1 C per W /
m2, and those are just transient.
In order to determine the solar contribution, we have to start with the solar radiative forcing, which is the change in total solar irradiance (TSI) in Watts per square meter (W / m2) divided by 4 to account for spherical geometry, and multiplied by 0.7 to account for planetary albedo (Meehl 2002
In order to determine the solar contribution, we have to start with the solar radiative
forcing, which is the
change in total solar irradiance (TSI) in Watts per square meter (W / m2) divided by 4 to account for spherical geometry, and multiplied by 0.7 to account for planetary albedo (Meehl 2002
in total solar irradiance (TSI)
in Watts per square meter (W / m2) divided by 4 to account for spherical geometry, and multiplied by 0.7 to account for planetary albedo (Meehl 2002
in Watts per square meter (W /
m2) divided by 4 to account for spherical geometry, and multiplied by 0.7 to account for planetary albedo (Meehl 2002).
Earth's measured energy imbalance has been used to infer the climate
forcing by aerosols, with two independent analyses yielding a
forcing in the past decade of about − 1.5 W /
m2 [64], [72], including the direct aerosol
forcing and indirect effects via induced cloud
changes.
As I made clear
in my «essay», my reason for comparing the natural
changing insolation values (
in W /
m2) against the IPCC net AGW figures (the AGW «
forcing») is simply this: is the insolation
change significant, or is it a value only one part
in a million of the IPC AGW value?
«
In comparison, changes in solar irradiance since 1750 are estimated to have caused a small radiative forcing of +0.12 [+0.06 to +0.30] W / m2, which is less than half the estimate given in the TAR.&raqu
In comparison,
changes in solar irradiance since 1750 are estimated to have caused a small radiative forcing of +0.12 [+0.06 to +0.30] W / m2, which is less than half the estimate given in the TAR.&raqu
in solar irradiance since 1750 are estimated to have caused a small radiative
forcing of +0.12 [+0.06 to +0.30] W /
m2, which is less than half the estimate given
in the TAR.&raqu
in the TAR.»
Given the existence of that feedback, how likely is it that a
change in CO2
forcing of 2.5 watts /
m2 will
change the earth's temperature
in any measurable way?
52 of the FAR Radiative Focing document), while later literature
in particular Myhre et al 1998 using improved spectra computed a direct CO2
forcing of 5.35 * ln (C / C0),
changing that direct CO2
forcing estimate from 4.37 W /
m2 to 3.7 W /
m2.
Looking at the MAGICC estimates of the various model factors for 19 of the models used
in the FAR, I find that the
forcing change in W /
m2 for a modeled doubling of CO2 ranges from a low of 3.1 to a high of 4.1.
So, that
change in radiative
forcing of maybe -0.3 W /
m2 for a new Maunder Minimum is small compared to the 2.3 W /
m2 we see for human factors.
The
change in greenhouse gas
forcing over a year
in recent decades is some 0.032 W /
m2.
and this is neglecting the net cooling
forcing due to aerosols and natural
changes which is 1.6 W /
m2 (again, mentioned
in the first RC post).
*
In calculating ECS in energy balance models, ocean heat uptake (dQ = 0.7 W / m2) is subtracted from the forcing change (d
In calculating ECS
in energy balance models, ocean heat uptake (dQ = 0.7 W / m2) is subtracted from the forcing change (d
in energy balance models, ocean heat uptake (dQ = 0.7 W /
m2) is subtracted from the
forcing change (dF)
Because the majority of recent ΔFP − M estimates (see Sect. 1) are only
in the range 0.1 − 0.2 W /
m2, and amplification processes have not been identified, the role of the solar
forcing in the natural climate
change remains highly uncertain (Solomon et al. 2007).
«Effect» is here defined
in terms of radiative
forcing (RF), which is (loosely) the
change in the amount of incoming (to Earth) versus outgoing (to space) radiation / energy, measured
in watts per square metre (w /
m2).
Given that half kilowatt, a doubling of CO2 (~ 4 W /
m2) is less than a 1 %
change in total
forcing... and
in a huge system like the climate, it will be hard to even extract a signal that small, much less attribute it to anything.
According to James Hansen, the transition between an ice age and an interglacial gives a
change in albedo
forcing of 3.5 W /
m2, CO2
change gives around 2 W /
m2.
I'd really like to see the greenhouse gas
forcing change between 1900 and 1944 expressed
in W /
m2, though to get a better feel for it.
With the
forcing changing by roughly that much (1 W /
m2 in 30 years), the heat taken up by the atmosphere is negligible and we've got immediate equilibrium there, that is the extra heat input must be balanced by extra radiation.
Taking the midpoint of your 4 — 5 C range for the
change in global surface temperature between the same periods, and the 3.71 W /
m2 best estimate for
forcing for a doubling of CO2 adopted by the IPCC and used by Kohler
in calculating the
forcing change, this implies an energy - budget best estimate for ECS of 4.5 * 3.71 / 9.5 = 1.76 C.