The Forcing Conundrum

Guest Post by Willis Eschenbach.

For all of its faults, the IPCC (Intergovernmental Panel on Climate Change) lays out their idea of the climate paradigm pretty clearly. A fundamental part of this paradigm is that the long-term change in global average surface temperature is a linear function of the long-term change in what is called the “radiative forcing”. Today I found myself contemplating the concept of radiative forcing, usually referred to just as “forcing”.

So … what is radiative forcing when it’s at home? Well, that gets a bit complex … in the history chapter of the Fourth Assessment Report (AR4), the IPCC says of the origination of the concept (emphasis mine):

The concept of radiative forcing (RF) as the radiative imbalance (W m–2) in the climate system at the top of the atmosphere caused by the addition of a greenhouse gas (or other change) was established at the time and summarised in Chapter 2 of the WGI FAR [First Assessment Report].

tropopause temperature by latitude

Figure 1. A graph of temperature versus altitude, showing how the tropopause is higher in the tropics and lower at the poles. The tropopause marks the boundary between the troposphere (the lowest atmospheric layer) and the stratosphere. SOURCE 

The concept of radiative forcing was clearly stated in the Third Assessment Report (TAR), which defined radiative forcing as follows:

 The radiative forcing of the surface-troposphere system due to the perturbation in or the introduction of an agent (say, a change in greenhouse gas concentrations) is the change in net (down minus up) irradiance (solar plus long-wave; in Wm-2) at the tropopause AFTER allowing for stratospheric temperatures to readjust to radiative equilibrium, but with surface and tropospheric temperatures and state held fixed at the unperturbed values.

In the context of climate change, the term forcing is restricted to changes in the radiation balance of the surface-troposphere system imposed by external factors, with no changes in stratospheric dynamics, without any surface and tropospheric feedbacks in operation (i.e., no secondary effects induced because of changes in tropospheric motions or its thermodynamic state), and with no dynamically-induced changes in the amount and distribution of atmospheric water (vapour, liquid, and solid forms).

So what’s not to like about that definition of forcing?

Well, the main thing that I don’t like about the definition is that it is not a definition of a measurable physical quantity.

We can measure the average surface temperature, or at least estimate it in a consistent fashion from a number of measurements. But we can never measure the change in the radiation balance at the troposphere AFTER the stratosphere has readjusted, but with the surface and tropospheric temperatures held fixed. You can’t hold any part of the climate fixed. It simply can not be done. This means that the IPCC vision of radiative forcing is a purely imaginary value, forever incapable of experimental confirmation or measurement.

The problem is that the surface and tropospheric temperatures respond to changes in radiation with a time scale on the order of seconds. The instant that the sun hits the surface, it starts affecting the surface temperature. Even hourly measurements of radiative imbalances reflect the changing temperatures of the surface and the troposphere during that hour. There is no way that we can have the “surface and tropospheric temperatures and state held fixed at the unperturbed values” as is required by the IPCC formulation.

There is a second difficulty with the IPCC definition of radiative forcing, a practical problem. This is that the forcing is defined by the IPCC as being measured at the tropopause. The tropopause is the boundary between the troposphere (the lowest atmospheric layer, where weather occurs), and the stratosphere above it. Unfortunately, the tropopause varies in height from the tropics to the poles, from day to night, and from summer to winter. The tropopause is a most vaguely located, vagrant, and ill-mannered creature that is neither stratosphere nor troposphere. One authority defines it as:

The boundary between the troposphere and the stratosphere, where an abrupt change in lapse rate usually occurs. It is defined as the lowest level at which the lapse rate decreases to 2 °C/km or less, provided that the average lapse rate between this level and all higher levels within 2 km does not exceed 2 °C/km.

This is an interesting definition. It highlights that there can be two or more layers that look like the tropopause (little temperature change with altitude), and if there is more than one, this definition always chooses the one at the higher altitude.

In any case, the issue arises because under the IPCC definition the radiation balance is measured at the tropopause. But it is very difficult to measure the radiation, either upwelling or downwelling, at the tropopause. You can’t do it from the ground, and you can’t do it from a satellite. You have to do it from a balloon or an airplane, while taking continuous temperature measurements so you can identify the altitude of the tropopause at that particular place and time. As a result, we will never be able to measure it on a global basis.

So even if we were not already talking about an unmeasurable quantity (radiative change with stratosphere reacting and surface and tropospheric temperatures held fixed), because of practical difficulties we still wouldn’t be able to measure the radiation at the tropopause in any global, regional, or even local sense. All we have is scattered point measurements, far from enough to establish a global average.

This is very unfortunate. It means that “radiative forcing” as defined by the IPCC is not measurable for two separate reasons, one practical, the other that the definition involves an imaginary and physically impossible situation.

In my experience, this is unusual in theories of physical phenomena. I don’t know of other scientific fields that base fundamental concepts on an unmeasurable imaginary variable rather than a measurable physical variable. Climate science is already strange enough, because it studies averages rather than observations. But this definition of forcing pushes the field into unreality.

Here is the main problem. Under the IPCC’s definition, radiative forcing cannot ever be measured. This makes it impossible to falsify the central idea that the change in surface temperature is a linear function of the change in forcing. Since we cannot measure the forcing, how can that be falsified (or proven)?

It is for this reason that I use a slightly different definition of the forcing. This is the net radiative change, not at the troposphere, but at the TOA (top of atmosphere, often taken to mean 20 km for practical purposes).

And rather than some imaginary measurement after some but not all parts of the climate have reacted, I use the forcing AFTER all parts of the climate have readjusted to the change. Any measurement we can take already must include whatever readjustments of the surface and tropospheric temperatures that have taken place since the last measurement. It is this definition of “radiative forcing” that I used in my recent post, An Interim Look at Intermediate Sensitivity.

I don’t have any particular conclusions in this post, other than this is a heck of a way to run a railroad, using imaginary values that can never be measured or verified.

w.

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441 Comments
jae
December 22, 2012 1:10 pm

Willis:
Thanks again.
No surprise there, but that’s not what I’m trying to get at. I am trying to compare sites with large amounts of water vapor to sites with small amounts to determine whether the GHE (downwelling radiation) from water vapor actually causes an increase in temperature–i.e., if more water vapor, all other things constant, leads to higher temperatures via the GHE. The “inverse relationship” I have noted is BETWEEN sites, not at a single site, like you plotted. Like Phoenix and Atlanta. Phoenix is much hotter, despite having much less GHE from water vapor (the inverse relationship). I think the presence of water (even in vegetation) causes a negative feedback, and I think the data clearly show that. My analyses show that dryer areas are generally hotter than humid areas, when other variables (elevation, latitude, cloudiness) are constant (or nearly so). I think that is due to the heat loss through evaporation and increased haze/clouds. Negative feedback.
Hope I’m making sense here.

Bob Koss
December 22, 2012 4:13 pm

Jae, Willis,
The USCRN sites are slowly becoming more comprehensive regarding the variables they are tracking. For example the AL_Gadsden_19_N site has a full set of hourly data for the last couple years. As well as the usual temperature readings they also include solar radiation, relative humidity, surface temperature, several levels of sub-surface temperature and moisture content, precipitation. Few other sites are as comprehensive, but some like CA_Fallbrook_5_NE are missing only sub-surface readings. They appear to be starting a separate data set for the sub-surface readings.
Perhaps jae can further his investigation by making use of the hourly data for only a couple years.
http://www.ncdc.noaa.gov/crn/qcdatasets.html

Greg House
December 22, 2012 4:15 pm

Willis Eschenbach says, December 21, 2012 at 10:46 pm: “You are determined to believe what you want to believe, in spite of the fact that the various college textbooks and online resources say the same thing—that the TSI is ~ 1368 W/m2, and that averaged over the surface, that’s 342 W/m2. …I’ve tried a host of ways to explain it to you … refusal to learn …”
=======================================================
Willis, as I said before, it was not apparently you who initially introduced this “averaging an average”, as I see it. Therefore your reference to “college textbooks” etc. does not add anything to a scientific debate.
Regardless where else that thing is mentioned, you failed to prove scientifically that your “342 W/m2” is correct.
Your first attempt was a reference to a NASA web page and it turned out that it does not support your thesis.
Your second attempt was presentation of a bogus calculation, where you derived the disputed TSI from something that has already been derived from that same disputed TSI, and I am still not sure, whether you understand or not how wrong such tricks methods are and that they are completely unacceptable in real science.
Now you are referring to textbooks. I am sorry, but you could write a textbook yourself and include your bogus TSI calculation there, it still would be wrong. The same goes for your cutting the solar power in half by averaging an average.

jae
December 22, 2012 4:20 pm

Willis:
Thanks for all your thoughts, which I will try to digest thoroughly…

jae
December 23, 2012 11:21 am

Willis:
The reason I have to stick with the Atlanta/Phoenix comparison is that it is the only pair of locations where one is very dry, one very wet, where there is data, and where the latitude and elevation are the same. I’m sure that the Hadley Cell effect exerts some influence, but I would expect the greenhouse effect from the extra water vapor in Atlanta to exert some positive influence also! The influence seems negative.
I guess what amazes me is that the difference in the amount of GHGs in a humid area like atlanta, relative to a dry place like Phoenix is equivalent to adding over 66 times as much CO2 to the atmosphere in Atlanta (simply assuming that CO2 is as efficient as HOH in capturing IR–which it is not by any stretch). (Water vapor is normally 1-3% of the atmosphere; whereas OCO is only about 0.03%). So why would we see almost exactly the same amount of downwelling radiation (about 400 Wm-2) in both locations on a nice July day? I guess it’s that logarithmic relationship between concentration and radiation? If so, we certainly don’t need much water vapor in the air to obtain the max. greenhouse effect, right? And given the overlapping of radiation bands for CO2 and HOH, I don’t see how CO2 can have any effect at all.

Stephen Wilde
December 23, 2012 12:06 pm

“So why would we see almost exactly the same amount of downwelling radiation (about 400 Wm-2) in both locations on a nice July day? I guess it’s that logarithmic relationship between concentration and radiation?”
It is due to the relationship between atmospheric density and insolation.
It is not DWIR that is being measured but the temperature of the air around the instrument and that is controlled by the balance between KE and PE at the height of the sensor which is in turn set by the slope of the lapse rate.
Surface temperature is set by density and insolation with the slope of the ideal lapse rate set by gravity.
GHGs can alter the slope of the decline of temperature with height but not the surface temperature because that is set by density (mass) and insolation.
Furthermore any effect of the GHGs on the slope in one layer is offset by an equal and opposite change in the slope in another layer.
In order to achieve the necessary adjustments there is simply a change in the global air circulation.
Compared to the changes caused naturally by sun and oceans our CO2 is insignificant.

December 23, 2012 3:18 pm

Willis writes “There is undoubtedly an increase in DLR from the direct effect of water vapor. ”
The water vapor must be coming from somewhere and so there is evaporation involved. That lowers the surface temperature and reduces the amount of DLR producing ULR. Whilst there is probably a net increase over land especially, your statement is far too strong when there are negative feedbacks involved.

jae
December 23, 2012 5:19 pm

Stephen Wilde says;
“It is not DWIR that is being measured but the temperature of the air around the instrument and that is controlled by the balance between KE and PE at the height of the sensor which is in turn set by the slope of the lapse rate.”
Stephen, I have always thought this is the case, but I’m trying to find a way to demonstrate empirically that the GHE does not work as advertised.

Gail Combs
December 23, 2012 5:36 pm

Willis, I went digging again.
I did not have the terms or physics quite correct. Solids like water droplets and ice crystals do emit a continuous spectrum, gases at lower pressure and temperature emit discrete spectra.

Why does the atmosphere radiate? Because it is heated up via convection from the surface, solar radiation and surface radiation. The atmosphere radiates according to its temperature, in accordance with Planck’s law and at wavelengths where gas molecules are able to radiate.
There isn’t any serious theory that the atmosphere doesn’t emit radiation. If the atmosphere is above absolute zero and contains gases that can absorb and emit longwave radiation (like water vapor and CO2) then it must radiate.
http://scienceofdoom.com/2010/07/24/the-amazing-case-of-back-radiation-part-two/

There are some interesting graphs of discrete DLR radiation on that thread BTW. That was what I was actually looking for.
But the take home is you are looking at a mix bag and not just the energy from “bounced” earth energy.
Water is STILL the big factor though and the only way the IPCC can prop up CO2 as the big bad boogie man is to bundle the effect of water under the category they call CO2 radiative forcing.

December 23, 2012 7:30 pm

Gail writes “Water is STILL the big factor though and the only way the IPCC can prop up CO2 as the big bad boogie man is to bundle the effect of water under the category they call CO2 radiative forcing.”
I’m especially sceptical about any multiplicative effect of the CO2 over the ocean where surely there is already a great deal of water vapor directly above the surface. This is kinda important DLR too!

Greg House
December 23, 2012 10:44 pm

jae says, December 23, 2012 at 5:19 pm: “…but I’m trying to find a way to demonstrate empirically that the GHE does not work as advertised.”
=======================================================
Jae, I am just curious. You know that in the Wood’s experiment the back radiation from glass does not work “as advertised”. Why do you think that back radiation from anything else like “GHG” still might work?
Let me give you an example. A person is accused of shooting people from a large distance with a sniper rifle. The defence proves that the person is blind. Would it be reasonable, if the prosecutor said “OK, he shot with a Kalashnikov then”?

jae
December 24, 2012 8:34 am

Willis:
You say: “Thanks, jae. I have shown above that if we compare a very dry and a very wet location, the water vapor has the effect on the DLR that we would expect. More water vapor = more DLR, no surprise there.”
NO, Willis!! That is my central issue, here. One goes from an average of about 8 g/m3 vapor in Phoenix to over 20 g/m3 in Atlanta. That’s from about 1% of the air to 3%. That’s the equivalent of increasing the amount of CO2 in the atmosphere in Atlanta by 66 times over the amount in Phoenix–or a doubling of CO2 of 6 times!* And CO2 is no where near as strong a GHG as water vapor, so there should be even more of an effect! It looks to me that one would expect MUCH more effects from the GHG, if it did anything! All we get is 400 W/m2 at both locations???
I agree with Wilde that the DWR is simply a parameter of the temperature.
* 1%/0.03% = 33 “CO2 equivalents” for each percentage change in water vapor.

jae
December 24, 2012 10:28 am

Willis, you say:
“Finally, I have shown above that in Table Rock, Nevada, and in Goodwin, Mississippi, the actual observations show the expected effects of the difference in water vapor. You keep failing to comment on that, I suspect because it doesn’t fit your schtick of claiming that water vapor has no effect … so how about you forget about Atlanta and Phoenix, where you don’t have any damn data, and concentrate on a place where we actually do have data?”
No, you didn’t show that, at all. I think all you showed is a temperature effect! You cannot compare the locations because Table Rock is at a much higher elevation and at a different lattitude.
You also ask:
“S—You claim that a change from 8 g/m3 to 20 g/m3 of water in the air increases the DLR by the same as 6 doublings of CO2. What is your source for those figures? All you say is that 1% is 33 times 0.03%, viz:”
I don’t think you understand what I’m doing here. My source is simple logic. I am assuming, for grins, that CO2 has the same radiative power as H20 (actually C02 is much weaker, so my results would be extremely conservative). If I change the H20 vapor (absolute humidity) by 2% of the atmosphere (going from 1% in a dry location to 3% in a wet location (7 g/m3 to 21 g/m3), that is equivalent to changing the CO2 levels by 2/0.03 = 66 times (remember that CO2 is only 0.03 % of the atmosphere, while water vapor varies between about 1-3%). That is more than a sixfold doubling of CO2 (2X2X2X2X2X2 = 66).
My only question is: Why is there no observed effect for this tremendous increase in GHGs?
And finally:
“So jae, your claim is that Stephen Wilde is right, that the hundreds of scientists who thought they were using a radiation measuring instrument to measure radiation were actually too dumb to notice that they were using a temperature measuring instrument to measure temperature?”
No, I think you are again misunderstanding what I meaan (and presumably Wilde, also). All I am saying is that the radiation measurement reflects the amount of radiation coming from the GHGs in the atmosphere at the “effective temperature.” Just like you say. The DIFFERENCE is that I think it goes no further than that, and the radiation has no effect on the existing temperature. It is just a property of IR-active molecules in the air. It’s not a “heating mechanism,” or “retardation-of-cooling -mechanism,” no more than “back-conduction” is a heating mechanism in a steel rod stuck in a fire at one end. Otherwise there should be a much bigger difference between wet areas and dry ones, per the above reasoning.
Sorry to see you get angry; usually I’m the one that blows my stack…

Greg House
December 24, 2012 4:29 pm

Willis Eschenbach says:, December 21, 2012 at 9:52 am: “Go back and look at the calculation of the average power. I use this mysterious thing called “mathematics”. I take the total amount of solar energy intercepted by the planet, and divide it by the ENTIRE SURFACE AREA OF THE PLANET, using the following magical incantation:
Average energy per unit area = total energy / total area.
Study that staggeringly complex formula for a while, and you’ll see that I have indeed given you the average sunlight over the total surface of the planet, and that I have absolutely NOT done what you say, to “consider only half of the earth to receive solar power).”

=========================================================
Yes, you have done that implicitly by calling the half of energy “total energy”. To demonstrate that, we can simplify a little bit and imagine that the Earth without atmosphere is a disk and does not rotate continuously but simply switches sides every 12 hours.
Then it is only for the first 12 hours after the Sun is “turned on” for the first time that only half the total area (1 hemisphere) receives sunlight. The light side would get like 120C warm and the dark side would remain 0K. After the switch the former dark side will get the same 120C, but the other side would only cool down and that not immediately to 0K, hence it’s temperature will be higher then 0K. If the cooling is slow, both sides of the disk would have almost the same temperature.
Your calculation “average energy per unit area = total energy / total area” is used to extract “average temperature” but does not take into consideration what I described above. As a result, “the average temperature” derived from your calculation is false (not to mention the wrong operating with averages”).
In other words, your approach does not make any physical sense, because it has little to do with the real physical process.

Greg House
December 24, 2012 4:56 pm

Willis Eschenbach says, December 24, 2012 at 3:30 pm: “jae, you say that ” the radiation has no effect on the existing temperature“. From this, it is clear that you are saying that this is a special, brand-new kind of radiation that doesn’t contain any energy … because if it contained energy it would transfer that energy to whatever object absorbs the radiation, thus affecting the temperature of the object in question. So if it doesn’t affect the temperature, it cannot contain energy. Now, if you and Stephen think you have discovered some kind of energy-free radiation, …
=======================================================
I am sorry, but that is an inversion of logic. This would be a correct logical procedure:
1. you assume that back radiation warms, you have your reasons, wonderful, but
2. the reality merciless demonstrates that it does not work, then you come to the conclusion that
3. Your initial assumption is wrong.
So simple is that.

jae
December 24, 2012 8:33 pm

Willis:
“A large part of the problem is, it seems like you are not talking about absolute humidity (AH), which is measured in mass per unit volume (e.g. grams per cubic metre). It is never measured as a percentage that I know of.”
Shit! You talk about bone-deep STUPID! WOW! (and THAT KIND OF RESPONSE FROM YOU IS ANGER, BRO!) And then you LECTURE me on just what absolute humidity is??? Just WHO the hell are you??
Read my math again and just try to understand it.
More, later, after you’ve cooled off…..