It's also dependent on the magnitude of the no -
feedback sensitivity parameter (call it λo to be consistent with several literature sources).
Not exact matches
Climate is not different, as can be seen in the fact that a broad range of cloud
feedbacks (compensated by other
parameters...) or a range of combined aerosol / CO2
sensitivities is able to fit the temperature of the past century.
So the reference system climate
sensitivity parameter is based on a negative
feedback due to Stefan's law.
New paper mixing «climate
feedback parameter» with climate
sensitivity... «climate
feedback parameter was estimated to 5.5 ± 0.6 W m − 2 K − 1» «Another issue to be considered in future work should be that the large value of the climate
feedback parameter according to this work disagrees with much of the literature on climate
sensitivity (Knutti and Hegerl, 2008; Randall et al., 2007; Huber et al., 2011).
As Roe says in the paper «However, it should be borne in mind that, in so choosing, the
feedback factor becomes dependent on the reference - system
sensitivity parameter».
They find a climate
feedback parameter of 2.3 ± 1.4 W m — 2 °C — 1, which corresponds to a 5 to 95 % ECS range of 1.0 °C to 4.1 °C if using a prior distribution that puts more emphasis on lower
sensitivities as discussed above, and a wider range if the prior distribution is reformulated so that it is uniform in
sensitivity (Table 9.3).
Some of these papers also used other priors for climate
sensitivity as alternatives, typically either informative «expert» priors, priors uniform in the climate
feedback parameter (1 / S) or in one case a uniform in TCR prior.
These models all suggest potentially serious limitations for this kind of study: UVic does not simulate the atmospheric
feedbacks that determine climate
sensitivity in more realistic models, but rather fixes the atmospheric part of the climate
sensitivity as a prescribed model
parameter (surface albedo, however, is internally computed).
Climate is not different, as can be seen in the fact that a broad range of cloud
feedbacks (compensated by other
parameters...) or a range of combined aerosol / CO2
sensitivities is able to fit the temperature of the past century.
The climate
feedback parameter is also defined in the IPCC glossary, and equation (1) is just an algebraic transformation of the mathematical definition of the climate
sensitivity parameter given there.
Further to earlier post, the attached curve shows various estimates of (2xCO2) climate
sensitivity plotted against the
feedback parameter.
The different curves are generated by varying the
feedback parameter (climate
sensitivity) in the EBM.
To obtain a likelihood function by estimating the climate
feedback parameter and then to present it as a likelihood function in climate
sensitivity, a reciprocal
parameter, alongside other likelihoods that may have been derived in the
sensitivity parameter space, seems to me misleading.
One empirical analysis of the type of F+G 06 does not tell that the climate
feedback parameter Y is 2.3 ± 1.4 W m ^ -2 K ^ -1 with 95 % certaintyor that the equilibrium climate
sensitivity is in the corresponding range 1.0 — 4.1 K. Those limits are obtained only, when the additional assumption of uniform prior in Y is made.
The Figure 9.20 climate
sensitivity PDF that is effectively based on a uniform prior in the climate
feedback parameter Y is that for Gregory 02.
The egregious and misleading stuff from the warmists IMO consists of a) overstating the quality of the physics in their models and the confidence we should have that they are correct; b) treating the ad hoc
parameter of «
feedback» or «
sensitivity» as something they can set on heuristic grounds, and then optimizing the other
parameters of their models around it.
There is also doubt about the value of the Planck climate -
sensitivity parameter, which also can not be measured but is crucial because not only the original warming caused by CO2 before
feedbacks but also, separately, the
feedbacks themselves are dependent upon it.
The lack of a unique natural measure in the space of continuous
parameters like climate
sensitivity S or
feedback strength Y or any of the infinite number of equivalent functions is an essential problem with the present amount of empirical data.
Moreover the recent decline of the yearly increments d (CO2) / dt acknowledged by Francey et al (2013)(figure 17 - F) and even by James Hansen who say that the Chinese coal emissions have been immensely beneficial to the plants that are now bigger grow faster and eat more CO2 due to the fertilisation of the air (references in note 19) cast some doubts on those compartment models with many adjustable
parameters, models proved to be blatantly wrong by observations as said very politely by Wang et al.: (Xuhui Wang et al: A two-fold increase of carbon cycle
sensitivity to tropical temperature variations, Nature, 2014) «Thus, the problems present models have in reproducing the observed response of the carbon cycle to climate variability on interannual timescales may call into question their ability to predict the future evolution of the carbon cycle and its
feedbacks to climate»
For the «no -
feedback climate
sensitivity» no empirical evidence can ever be given because the concept is an artificial theoretical
parameter by construction.
[*] You had said: «is based purely on observational evidence, with no dependence on any climate model simulations... to obtain a direct measure of the overall climate response or
feedback parameter... Measuring radiative flux imbalances provides a direct measure of Y, and hence of S, unlike other ways of diagnosing climate
sensitivity.»
Some people may prefer to say that no -
feedback climate
sensitivity is estimated, I used calculated, as that fits well with the fact that it's a value defined true some formulas rather than by specifying a real physical
parameter to be estimated.
Yes, I agree that the no -
feedback sensitivity to a doubling of CO2 is a theoretically calculated
parameter that can never be measured in the real world.
Accordingly, the forcing estimation method relies upon a model exhibiting a fairly linear climate response, and hence having a climate
feedback parameter (and an effective climate
sensitivity) that does not vary with time (in addition to having a temperature response that is proportional to forcing).
Using
feedback parameters from Fig. 8.14, it can be estimated that in the presence of water vapor, lapse rate and surface albedo
feedbacks, but in the absence of cloud
feedbacks, current GCMs would predict a climate
sensitivity (± 1 standard deviation) of roughly 1.9 °C ± 0.15 °C (ignoring spread from radiative forcing differences).
Some of these papers also used other priors for climate
sensitivity as alternatives, typically either informative «expert» priors, priors uniform in the climate
feedback parameter (1 / S) or in one case a uniform in TCR prior.
ΔTλ is, at its simplest, the product of three factors: the sum ΔF2x of all anthropogenic - era radiativeforcingsat CO2 doubling; the base or «no -
feedbacks» climate
sensitivity parameter κ; and the
feedback multiplier f, such that the final or «with -
feedbacks» climate
sensitivity parameter λ = κf.
[20] Gregory, J. M., and T. Andrews, 2016: Variation in climate
sensitivity and
feedback parameters during the historical period.
A forcing dF is input by multiplication to the final or «with -
feedbacks» climate
sensitivity parameter λ = κf, yielding the output dT = dFλ = dFκf.
The base climate
sensitivity parameter κis the most influential of the three factors of ΔTλ: for the final or «with -
feedbacks» climate
sensitivity parameter λ is the product of κand the
feedback factor f, which is itselfdependent not only on the sum b of all climate - relevant temperature
feedbacks but also on κ.Yet κ has received limited attention in the literature.
[8] I estimate GISS - E2 - R's effective climate
sensitivity applicable to the historical period as 1.9 °C and its ERF F2xCO2 as 4.5 Wm − 2, implying a climate
feedback parameter of 2.37 Wm − 2 K − 1, based on a standard Gregory plot regression of (ΔF − ΔN) on ΔT for 35 years following an abrupt quadrupling of CO2 concentration.
I don't know precisely what Wyant's values for other
feedbacks are, but he explicitly gives us his
sensitivity parameter: lambda = 0.41 K / Wm -2, which gives us a climate
sensitivity of 1.5 K. And anyway, in later papers, Wyant argues that SPs grossly exaggerate the negative cloud
feedback.