Symmetry and Balance

Guest Post by Willis Eschenbach

The CERES satellite dataset is a never-ending source of amazement and interest. I got to thinking about how much energy is actually stoking the immense climate engine. Of course, virtually all the energy comes from the sun. (There is a bit of geothermal, but it’s much less than a watt per square metre on average so we can ignore it for this type of analysis).

So let’s start from the start, at the top of the atmosphere. Here’s the downwelling top of atmosphere (TOA) solar energy for the northern and the southern hemisphere:

CERES NH and SH TOA solar radiation.png

Figure 1. Top of atmosphere (TOA) downwelling solar energy. This is averaged on a 24/7 basis over the entire surface of the earth.

However, we don’t get all of that energy. Much of it is reflected back into space. So I took the CERES solar data and I subtracted the reflected solar. The reflected solar is the total upwelling sunshine at the top of the atmosphere (TOA) that has been reflected from the clouds, the aerosols, the soil, the plants, the ice, and the ocean. The TOA solar minus the TOA upwelling solar reflections is the amount of energy available to heat the planet. Here’s the amount of available solar energy around the world.

Average Available Solar Energy.png

Figure 2. Map of the global distribution of average available solar energy. This is the solar energy remaining after albedo reflection of part of the incoming sunshine back into space.

Once I had the available energy, I subtracted out the seasonal variations. These are the changes that repeat year after year. Removing these repeating signals leaves only the small variations due to irregular changes in the amount of the reflections. (There is also a very small sunspot-related variation in the incoming solar of about a quarter of a W/m2 on a global 24/7 basis. It is included in these calculations, but makes no practical difference).

So here is the first look at how much energy is available to drive the great planet-wide heat engine that we call the climate, divided by hemispheres:

CERES NH and SH TOA solar & available.png

Figure 3. TOA solar and available solar after albedo reflections. Solar is about 340 W/m2, and about a hundred W/m2 of that are reflected back out to space.

Bear in mind that the amount of energy that enters the climate system after albedo reflections is a function of highly variable ice, snow, and clouds … and despite that, there is only very little variation over either time or space. Year after year, somehow the clouds and the ice and the snow all basically balance out, northern and southern hemispheres … why?

As you can see above, the available solar energy in two hemispheres are so near to each other that I’ve had to make the line representing the southern hemisphere narrower than that for the northern hemisphere so that you can see both. To see the two separately we need to zoom in close, as shown in Figure 4 below.

available energy nh sh.png

Figure 4. Available TOA solar energy after albedo reflections, northern and southern hemispheres.

Now, I noticed a few curiosities about this graph. One is that despite the great difference between the northern hemisphere (more land, lots of mid-and-high-latitude ice and snow) and the southern hemisphere (more ocean, little midlatitude land or ice or snow), the amount of average incoming energy is within a half a watt (NH = 240.6 W/m2, SH = 241.1 W/m2, black and red dashed horizontal lines)

Second, the two hemispheres generally move in parallel. They increased to 2003 – 2004, stayed about level to 2013 – 2014, and then increased again.

Third, there’s about an apparent lag between the northern and southern hemispheres. Now, I thought well, that makes sense … but then I realized that there is no annual signal left in the data. And I checked, there’s no six-month signal left in the data either. Not only that, but up until about 2011 the south moves before the north, but after that, the north is moving first. Again … why?

Gotta love the joys of settled science …

In any case, I then wanted to compare the variations in available energy with the variations in surface temperature. Now the CERES dataset doesn’t contain surface temperature. However, it contains a dataset of surface upwelling radiation, sometimes called “radiation temperature” because it varies as the fourth power of temperature. Figure 5 shows the monthly changes in TOA downwelling available solar radiation, compared to surface upwelling radiation.

CERES scatter surface lw vs available solar.png

Figure 5. Scatterplot, surface radiation temperatures (upwelling longwave radiation) versus TOA average available solar energy. Each dot represents the situation in a 1° latitude x 1° longitude gridcell, covering the entire planet. So there are 64,800 dots in the graph above.

So … what is happening in this scatterplot? Obviously, what’s happening depends on the temperature … and maybe more. To understand it, let me give you the same data, divided by hemisphere and by land versus ocean. To start with, here’s what might be the most revealing graph, that of the land in the southern hemisphere.

CERES land SH scatter surface lw vs available solar.png

Figure 6. Scatterplot, southern hemisphere land-only surface radiation temperatures (upwelling longwave radiation) versus TOA average available solar energy.

On the right we have we have the southern parts of Africa and South America … and on the left, we have Antarctica. You can clearly see the different responses between what happens below and above freezing.

Next, here’s the land in the northern hemisphere.

CERES land NH scatter surface lw vs available solar.png

Figure 7. Scatterplot, northern hemisphere land-only surface radiation temperatures (upwelling longwave radiation) versus TOA average available solar energy.

There isn’t anywhere in the northern hemisphere that the land gets as cold as Antarctica. In part, this is because the South Pole is land and the North Pole is water, and in part because much of Antarctica is a high elevation perpetually frozen plateau.

What all of this shows is that the response of the planetary surface to increasing solar radiation is in part a function of temperature. The colder the average temperature, the more the system responds to increasing solar radiation.

With that in mind, I took Figure 5 and calculated the slope of just the part of the world that on average is not frozen. Figure 8 shows that result.

CERES scatter surface lw vs available solar trended.png

Figure 8. As in Figure 5, and including the trend of the unfrozen parts of the globe.

Now, I found this to be a most curious graph. Here’s the curiosity. The greenhouse effect is the reason that the surface of the planet is warmer than we’d expect from simple calculations of the amount of sunlight hitting the Earth. This is because the greenhouse gases absorb the upwelling surface radiation, and when they radiate, about half of the radiation goes up, and half goes back towards the earth. As a result, the earth ends up warmer than it would be otherwise.

If the poorly-named “greenhouse effect” were 100% perfect, for every additional watt per square metre (W/m2) of sunlight entering the system, the surface would radiate two W/m2—one W/m2 from the sunlight, and one W/m2 from the downwelling radiation from the atmosphere. Based on the ratio of the incoming radiation and the radiation from the surface, we can say that the overall greenhouse multiplier factor of the perfect greenhouse is 2.0. (See my post The Steel Greenhouse for a discussion of this.)

Of course, in a real world, the multiplier factor will be less. We know what the long-term overall average multiplier factor for the planet is. We can calculate it by dividing the overall average upwelling longwave radiation from the surface by the overall average available solar energy. The average upwelling surface longwave radiation is 398 W/m2, and the average available solar energy is 240 W/m2. This gives a greenhouse multiplier factor of 398 / 240 = 1.66.

And that’s the curiosity because in Figure 8 the average multiplier factor is 0.72, well below 1.0. Because this multiplier is less than one, it would imply that the world should be much colder than it is …

How can we resolve this apparent contradiction? To me, it is evidence of something that I have said for many years. This is that the sensitivity of the surface temperature to the amount of downwelling radiation is not a constant as is assumed by mainstream climate scientists. Instead, it is a function of temperature. At temperatures above freezing, the surface upwelling radiation increases by about three-quarters of a W/m2 for each additional W/m2 of incoming solar radiation.

But when the earth is quite cold, such as is the case in Antarctica, the surface temperature is much more responsive to changes in incoming radiation. Here’s the situation in Antarctica:

CERES antarctic scatter surface lw vs available solar trended.png

Figure 9. As in Figure 8, but showing the situation in Antarctica

Note that this sensitivity is not a result of the land ice on Antarctica melting and changing the albedo. Almost all of Antarctica is frozen year-round.

Now, there is one other way we can look at this situation. We’ve looked above in Figures 5 to 9 at the long-term, basically steady-state situation shown by the average state of the  68,400 one-degree by one-degree gridcells that make up the surface of the planet. However, instead of the steady-state long-term average shown above, we can also look at how things change over time. Figure 10 shows the change in time of the anomaly in temperature over the period of the CERES satellite observations, as compared to the anomaly in average TOA solar energy.

CERES surface lw and available solar.png

Figure 10. Monthly surface longwave and TOA solar radiation.

You can see that other than the jumps in surface radiation due to the warm El Nino events of 2009/10 and 2016/17, there is a close relationship between available sunshine. A cross-correlation analysis (not shown) verifies that there is no lag between the changes in the solar input and the surface response.

We can also determine the nature of the short-term relationship between these two variables by using a scatterplot, as shown in Figure 11 below:

CERES scatter surf lw avail solar monthly.png

Figure 11. Scatterplot, monthly averages of available top-of-atmosphere available solar energy and surface upwelling longwave radiation.

As we would expect, the trend is smaller in the short-term data monthly changes shown in Figure 11 than the trend in the longer-term gridcell average data shown in Figure 8 (0.58 versus 0.72 W/m2 surface change per W/m2 solar input change).

CONCLUSIONS:

Overall, the response of the non-frozen surface to increasing solar radiation is an average increase of about 0.7 W/m2 of upwelling surface radiation for each 1 W/m2 increase in available solar energy.

 Below freezing, this response increases with decreasing temperature, until at typical Antarctic temperatures of -20°C to -60°C the response is about 5 W/m2 for each 1 W/m2 increase in available solar energy.

Per the Stefan-Boltzmann equation, the change in surface temperature corresponding to a 1 W/m2 change in surface longwave radiation ranges from 0.2°C per W/m2 at 0°C, to 0.16°C per W/m2 at about 30°C.

Given a change of 0.7 W/m2 for a 1 W/m2 change in incoming solar energy, this would indicate a temperature change in the unfrozen part of the planet of from 0.11°C per additional W/m2 at 30°C, to 0.16°C per additional W/m2 at 0°C.

The increased downwelling radiation estimated for a doubling of CO2 is 3.7 W/m2. Ceteris paribus, this would indicate that if solar radiation increased by 3.7 W/m2, we would see a temperature increase of 0.4°C to 0.6°C depending on the surface temperature.

Finally, as a side note, the average change in TOA downwelling total solar irradiance (TSI) due to the change in sunspot activity is on the order of 0.26 W/m2 peak to peak (global 24/7 average). However, only 240/340 = 70% of this is available, the rest is reflected back to space. Given the relationship of 0.72 W/m2 surface change per each additional W/m2 of TOA available solar energy, and a maximum temperature change per watt of 0.16 °C per W/m2, this would indicate a maximum effect of 0.26 * 240/340 * 0.72 * 0.16 = 0.02 °C from that change in TOA solar radiation …

It’s a lovely evening here on our hill above the sea, a few clouds, cool air … I wish all of you the joy of this marvelous life.

w.

AS USUAL, I politely ask that when you comment on someone’s words, you QUOTE THEIR WORDS EXACTLY. This is a long and complex post, and misunderstandings are the bane of the intarwebs. The only way for the rest of us to be sure what or who you are talking about is for you to quote their words exactly.

DATA: This is all done with the CERES satellite TOA and Surface datasets, which are available here under the heading:

Energy Balanced and Filled (EBAF)

Climate Data Record (CDR) of monthly TOA fluxes and consistent computed surface fluxes and clouds suitable for analysis of variability at the intra-seasonal, inter-annual, and longer time scales.

 

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Dr. Strangelove
May 6, 2018 7:38 am

“The increased downwelling radiation estimated for a doubling of CO2 is 3.7 W/m2.”
It’s not a downwelling radiation. It’s OLR at TOA. Not equivalent
“this would indicate that if solar radiation increased by 3.7 W/m2, we would see a temperature increase of 0.4°C to 0.6°C depending on the surface temperature.”
It’s not TCR or ECS since it’s not TOA fluxes.

Rich Davis
May 6, 2018 7:40 am

The increased downwelling radiation estimated for a doubling of CO2 is 3.7 W/m2. Ceteris paribus, this would indicate that if solar radiation increased by 3.7 W/m2, we would see a temperature increase of 0.4°C to 0.6°C depending on the surface temperature.

Willis,
Let me test my understanding here. Your conclusions are a bit opaque to me, no doubt my flaw.
I think that you are saying that this is evidence that for a doubling of CO2, with all other things being equal, we should expect no more than a 0.6°C increase in surface temperature in the coldest regions, 0.4°C in the warmest. The significance of that would be that the CAGW orthodoxy claims we would see 3°C or at least 1.5°C for a doubling of CO2.
Is that the correct take-away?
If so, it seems that an 8-fold increase in CO2 from the current 410ppm to 3280ppm, or a doubling, then a doubling again, and then a further doubling, would increase surface temperatures by about 1.8°C in the coldest regions, and 1.2°C in the warmest. The penguins would enjoy a heat wave from -30°C up to -28.2°C, melting nary an ice cube. In the tropics, a 30°C day might become a 31.2°C day. And even then, in the tropics a little more cloud cover will form from the increased evaporation, potentially reducing the rise (an example of not all things being equal).

lgl
May 6, 2018 7:50 am

Oh, where to start?
There is not 240 SW available at the surface, only 160 because of the reflection + maybe 40 indirectly as LW, first absorbed by the atmosphere, 200 total. Then the energy transport from the surface is more like 500, evaporation included. So, Gain=500/200=2.5 not 1.66
And this is only the beginning…

lgl
Reply to  Willis Eschenbach
May 6, 2018 1:14 pm

Well, I don’t have your skills, nor your tools, and don’t know where to find the latent heat during CERES period, so I have used another dataset. http://virakkraft.com/Net_SW-vs-Total_Up_surface.pdf

lgl
Reply to  Willis Eschenbach
May 6, 2018 3:27 pm

And because Total_up=Total _absorbed the amplification of the solar input is Total_up over Solar_absorbed OR Total_absorbed over Solar_absorbed. Doesn’t change the fact that the amplification is around 2.5

lgl
Reply to  Willis Eschenbach
May 7, 2018 4:42 am

Doesn’t matter. I have plotted the initial or “raw” input versus the resulting input, and that is the amplification.

May 6, 2018 7:52 am

This is probably over your head, but, the Trenberth cartoon is just fundamentally meaningless. Stefan-Boltzmann applies to direct radiation, not to averaged radiation. Dividing 1366 W/m2 by 24/7 renders any subsequent Stefan-Boltzmann calculation physically MEANINGLESS.
Just because some piker at NASA does it too, don’t drink the Kool-Aid, it is not real. What really happens is far more complex. Averaging radiation by 24/7 is not what the Sun does, and is not what the atmosphere does, not even close.
“This is because the greenhouse gases absorb the upwelling surface radiation, and when they radiate, about half of the radiation goes up, and half goes back towards the earth. As a result, the earth ends up warmer than it would be otherwise.”
When CO2 absorbs LWIR it immediately thermalizes it, except high in the atmosphere where pressure is much lower.
The logarithmic effect of CO2 is essentially saturated at concentrations far below the 400 ppm we have today. CO2’s significant effect is at the TOA, where it increases the altitude at which the atmosphere can radiate freely to space, thus decreasing the temperature at which the atmosphere radiates freely, thus increasing the heat content of the atmosphere. The magnitude of this effect has never been successfully calculated.
“Other than that, Mrs. Lincoln, how did you like the play?”

Reply to  Michael Moon
May 6, 2018 8:48 am

Michael Moon: When CO2 absorbs LWIR it immediately thermalizes it, except high in the atmosphere where pressure is much lower.
Surely that could do with some elaboration. The amount thermalized must be a monotonic function of pressure — is that function known? And is it, as I suppose, monotonic? How “high” in the atmosphere must one ascend to find the region where more than 25% is radiated? Though not dense, there is a lot of CO2 from that level upwards. And if that level is not too cold, there is a lot of H2O from that level upwards as well.

Rich Davis
Reply to  Willis Eschenbach
May 6, 2018 9:57 am

Yeah I started to quote the same words and was going to ask how Mr Moon thinks there could be any hope of discussion after that lead in. But it seemed like a waste of time.

JohnWho
Reply to  Willis Eschenbach
May 6, 2018 2:15 pm

Well, to be fair, most of the atmosphere is over our heads.
Mostly.

Reply to  Willis Eschenbach
May 6, 2018 4:14 pm

I have mentioned this flaw in the Trenbeth cartoon once or twice before, but it seems to be the Zombie Graph, unkillable. Anyone on here who uses this flawed concept of averaging the incident radiation on the Earth’s surface and then using this average in a calculation involving Stefan-Boltzmann has demonstrated his or her ignorance of physics. S-B uses the fourth power of temperature, so dividing the flux by 4 and back-calculating a resultant temp is unPhysical.

charles nelson
Reply to  Michael Moon
May 6, 2018 2:04 pm

Well said Michael.
t’s finally dawned on me that Willis is always ‘averaging’ things that cannot be ‘averaged’ and mis-describing things then ‘measuring’ them (like the PLANET Earth as a black body…chortle) then wheeling out a few formulae which don’t much apply and then applying some meaningless ‘derivatives’ and producing a fuzzy looking graphs.
But let me leave you with these fascinating and useful facts….
Did you realise for example that the average height of a male human being is 5′ 9″ and 3/4?
Or that the global average temperature of a cup of coffee is 152˚F?

bitchilly
Reply to  charles nelson
May 6, 2018 3:27 pm

it is hardly fair to level that accusation at willis given he is only using the “data” provided by the “experts”.

May 6, 2018 8:26 am

Scatter plots representing how the planet responds to solar forcing are very revealing. The plots you have shown here are nearly identical to those I’ve produced from the ISCCP data. Most interesting is identifying what is linear to what, specifically that surface BB emissions are far more linear to total solar forcing then the surface temperature is. Many more scatter plots can be found here:
http://www.palisad.com/co2/sens
Each link points to a different scatter plot.

May 6, 2018 8:41 am

Willis Eschenbach, thank you for another enlightening essay.
How well is the reflected light sampled and measured? I am thinking of the light that “glances” off the N and S pole regions and off the oceans right after sunup and right before sundown, and likewise on land when the land is snow-covered. It isn’t reflected back “up” reversing the direction of the rays striking the surface.

Reply to  Willis Eschenbach
May 6, 2018 12:50 pm

Thank you for the link.

John Knapp
May 6, 2018 8:52 am

Hi Willis,
In establishing your “perfect greenhouse” number of 2 you state, “This is because the greenhouse gases absorb the upwelling surface radiation, and when they radiate, about half of the radiation goes up, and half goes back towards the earth.”
It was my understanding that most of the energy absorbed by the greenhouse gasses is transferred to the non-greenhouse gasses by conduction, not re-radiated in any direction. This then results in a physical transport of the energy upward through conduction and convection where at top of atmosphere greenhouse gasses would facilitate the outgoing radiation.
Thus an increase in greenhouse gasses at bottom of atmosphere would increase the transfer of energy to the non-greenhouse gasses and at top of atmosphere it would increase the rate of energy transfer back to the greenhouse gasses for out radiation with an increased conduction/convection component in the middle. It is not obvious to me what the net effect of that process would be but it seems that the number for a “perfect greenhouse” should be substantially less than 2.
Your thermostat theory of tropical storms would tend to say that you also believe that conduction/convection are major players in the greenhouse. Why should they be ignored here?

May 6, 2018 9:00 am

Doesn’t the temperature of Antarctica occasionally dip below the freezing point of carbon dioxide? What happens then? Does it “snow” out of the atmosphere and collect on the surface?

Alan Tomalty
May 6, 2018 9:36 am

My calculations per doubling of CO2 is 0.4C difference. This is based on total energy specific heat content of all the gases in atmosphere. I have submitted paper to Anthony Watts.

Reply to  Alan Tomalty
May 6, 2018 10:04 am

Alan
provide us with the link to your study?
I know A is very strict and your study / paper might not get published.

afonzarelli
May 6, 2018 11:22 am

Upwelling Surface Longwave Radiation
Available Solar Energy After Albedo Reductions

Willis, as the quintessential average joe, i’ve yet to come across the above terminologies. i have heard of the terms Outgoing Longwave Radiation and Absorbed Solar Radiation. Are these terms (OLR & ASR) essentially the same as the terms that you’ve presented? (yes, no, maybe so?)…
Thanx for all your hard work and dedication. i noted your absence in a couple recent solar threads. (i assume that the preparation of this post is the reason why?) It’s quite a piece…

bitchilly
Reply to  Willis Eschenbach
May 6, 2018 3:34 pm

i may be wrong, but i could believe this essay of yours is more than capable of being written up and submitted to a journal willis.

Dr. Strangelove
Reply to  Willis Eschenbach
May 7, 2018 3:35 am

Willis
Your available solar energy (240 W/m^2) is equal to the absorbed solar radiation. At TOA, available solar energy is 342 W/m^2. At surface, it’s less than 240 W/m^2 due to absorption of the atmosphere

Richard G.
Reply to  Willis Eschenbach
May 7, 2018 12:33 pm

“I get tired of the recurrent abuse I get on solar threads …”
Illegitimi non carborundum est.
P.S. Another great post, keep up the good work.

bit chilly
Reply to  Willis Eschenbach
May 7, 2018 2:03 pm

point taken willis. keep up the great work.

ferdberple
May 6, 2018 12:28 pm

Willis, fig 4 strikes me as perhaps the most significant finding. There is no reason the hemispheres should be in balance. But they are. This points to new science.
This would also be an interesting check to apply to climate models.

Felix
Reply to  Willis Eschenbach
May 6, 2018 9:31 pm

Just one of the many ways in which the GIGO GCMs don’t do clouds. “Parameterization”, ie making stuff up, simply doesn’t cut it.

ferdberple
Reply to  Willis Eschenbach
May 7, 2018 7:00 am

WOW!
This N-S symmetry is a Big Deal. As is the fact that climate models do not have this symmetry.
Frankly this symmetry calls the entire calls the entire radiative theory of surface temperatures into question.
For this symmetry to exists there MUST be a higher controlling mechanism over and above the radiative process.
In effect this symmetry is like the wobble in a planets orbit that signals there is an as yet undiscovered body.
This symmetry is not predicted by the climate models. Moreover it should not exist under current theories of climate.
This symmetry is STRONG evidence that CO2 is NOT the climate control knob. Something else is regulating climate and the N-S symmetry is its signature.
WOW. A very big deal!

sailboarder
May 6, 2018 1:15 pm

“This is because the greenhouse gases absorb the upwelling surface radiation, and when they radiate, about half of the radiation goes up, and half goes back towards the earth. As a result, the earth ends up warmer than it would be otherwise.
If the poorly-named “greenhouse effect” were 100% perfect, for every additional watt per square metre (W/m2) of sunlight entering the system, the surface would radiate two W/m2—one W/m2 from the sunlight, and one W/m2 from the downwelling radiation from the atmosphere. Based on the ratio of the incoming radiation and the radiation from the surface, we can say that the overall greenhouse multiplier factor of the perfect greenhouse is 2.0. (See my post The Steel Greenhouse for a discussion of this.)”
William Happer mentioned how an activated CO2 molecule is extremely slow to re radiate, as compared to giving up its energy to adjacent water vapor, N2, O2, molecules through collisions(thermalization) That means that convection immediately takes over. However, through collisions, and packets of captured radiant energy, the CO2 molecule can again collect enough energy to re radiate. The process repeats. These radiant/thermal energy transfers are buzzing near instantaneously.
I puzzle over how a doubling of CO2 in our mixed gas atmosphere can change the temperature profile to the degree that we can measure it.(As I understand it, a change to the dry lapse rate has not in fact been measured) I currently think the ideal gas law is most informative for thick mixed gas atmospheres, while the steel greenhouse is not.

charles nelson
May 6, 2018 1:49 pm

Willis says…Or consider how much ricin it takes to kill a human being … 0.002% of your body weight.
The fact that something is small does NOT mean that we can safely ignore it.
What a weary and ignorant argument…
If I was safely and happily consuming ….0,0018% of my body weight in Ricin…do you think the extra little bit would kill me?
Really?

Rich Davis
Reply to  charles nelson
May 6, 2018 4:55 pm

Charles,
Weary and ignorant? Why would you say that?
I don’t know if the quoted number 0.002% of body weight is an accurate number for ricin lethal dose in humans, but obviously it refers to the average response by some percentage of humans and not a certain result at an exact dose. If 50% of humans would die after ingesting 0.002% of body weight in ricin, then you would certainly not be happily consuming 0.0018% (or 90% of the dose that kills humans 50% of the time). You would probably recover, but you would be very sick. An extra little bit would increase your probability of dying. At some point there would be an amount that nobody would survive. Unless you have a genetic mutation that allows you to metabolize ricin that is.

Editor
May 6, 2018 2:28 pm

One can see “strange attractor” shapes in many of the scatterplots…..

May 6, 2018 4:33 pm

Poor Mr. Feht is going to accidentally click on Willis’s article, see the dreaded “Eschenbach” name, and BE FORCED to click the back button in revulsion — an utter waste of precious time and energy.
Another day ruined for the man.
Thanks Willis. Thanks a lot.

May 6, 2018 6:38 pm

“Now, I found this to be a most curious graph. Here’s the curiosity. The greenhouse effect is the reason that the surface of the planet is warmer than we’d expect from simple calculations of the amount of sunlight hitting the Earth. This is because the greenhouse gases absorb the upwelling surface radiation, and when they radiate, about half of the radiation goes up, and half goes back towards the earth. As a result, the earth ends up warmer than it would be otherwise.”
How exactly can that even remotely be true? We have an atmosphere. Radiation is not the only way it can absorb energy to be warmed. It warms through conduction when the air passes over the heated ground. It then rises, taking that added energy into the atmosphere. Having that atmosphere all by itself is going to increase the temperature at the ground surface.

John Finn
Reply to  astonerii
May 7, 2018 6:42 am

No. It all boils down to how much energy enters the earth (AND it’s atmosphere) and how much leaves the earth (AND it’s atmosphere). This can only happen through radiation. Conduction and Convection can move energy through the atmosphere so it can make some places warmer than they would otherwise be (e.g. the poles) and vice versa but convection and conduction cannot ADD energy to the earth’s surface and the atmosphere overall.
Like it or not, the most likely explanation for the earth’s average surface temperature of around 15 deg C (rather than -18 deg C) is the greenhouse effect. The greenhouse effect impedes the flow of outgoing longwave radiation (OLR) so that incoming solar radiation is greater than OLR. This means the earth continues to warm until OLR reaches equilibrium with incoming solar radiation.
As Willis notes it is claimed this equilibrium is reached when the earth’s surface is emitting 398 w/m2 compared to about 240 w/m2 solar giving a multiplier effect of 1.66. The effect of doubling CO2 will according to MODTRAN reduce OLR at the top of the atmosphere by 3.7 w/m2. To maintain equilibrium this would require the surface flux to increase by about 6 w/m2 (3.7 x 1.66) which leads to the NO FEEDBACK surface temperature increase of about 1 deg C.

Reply to  John Finn
May 7, 2018 11:43 am

No. Convection and evaporation rule the surface-to-atmosphere heat transfer.comment image

Reply to  John Finn
May 7, 2018 3:54 pm

Willis, I picked that graph from wikipedia and didn’t check the numbers. I kinda liked it because it’s an energy flow diagram, in which the width of the arrows is shown proportionally to the flow quantity (Sankey diagram). Now that you point it out, I see that it indeed shows that the reflected solar is 119 W/m2. Other budgets claim around 100 as you say.
Regarding your second point, it shows the net radiative heat exchange between the surface and the atmosphere – it doesn’t ignore anything. Like this one:comment image
All the references show that convection and evaporation rule the surface-to-atmosphere heat transfer.comment image
Here the radiative surface-to-atmosphere heat transfer is around 18 W/m2 (358.2 – 340.3) and the non-radiative is around 105 W/m2.

Reply to  John Finn
May 7, 2018 5:57 pm

Willis,
It is not junk – it shows the energy (heat) flows. Radiative heat transfer is radiation from the warmer surface minus the radiation from the colder surface.
https://en.m.wikipedia.org/wiki/Thermal_radiation#Radiative_heat_transfer
“In your new diagram (the upper of the two) it is 173 W/m2 entering and 173.4 leaving the surface … but if that were true the surface temperature would be -38°C … sorry, amigo, but that one is junk too.”
This is junk. Why would it be – 38 °C? It can be (almost) anything. 173.4 W/m2 is not thermal radiation from the surface according to S-B. It is total heat transfer from the surface to atmosphere and space. The surface still radiates according to S-B (~398 W/m2).
“You can see that in his the atmosphere does NOT radiate the same amount upwards and downwards.”
The atmosphere does not have to radiate the same amount upwards and downwards. Why would it? It has to radiate upwards to space what it gains from the surface (mostly non-radiatively) plus what it absorbs directly from the sun.
The Earth’s surface gets its heat from the sun (around 165 W/m2), it radiates directly to space around 40 W/m2, the rest it transfers to atmosphere, mostly by non-radiative means (around 105 W/m2) and around 20 W/m2 by thermal radiation.
You are confused by the atmospheric radiation to surface (back radiation) – it is NOT a heat input to the surface. Its origin is the surface itself.
Regards.

lgl
Reply to  John Finn
May 8, 2018 12:26 am

John
I think Willis claims the effect of doubling CO2 will be +1 degC all feedbacks included (perhaps without the very slow ice sheet adjustments)

lgl
Reply to  John Finn
May 8, 2018 12:40 am

Willis,
Doesn’t your two-layer atmosphere diagram here contradict this from the head post:
“Of course, in a real world, the multiplier factor will be less” (than 2)?
The atmosphere acts more like a multi-shell steel greenhouse than a single-shell. (except absorption <1 in each shell)

Reply to  John Finn
May 8, 2018 2:44 am

Willis,
“Your claim is that in this diagram the surface is radiating at ~398 W/m2. Since according to the same diagram the surface is receiving only 173 W/m2 total, I fear that dog won’t hunt … it cannot be radiating 398 W/m2 and only receiving 173 W/m2. Not possible.”
Of course it’s possible. It’s radiating according to its temperature (and emissivity). The atmosphere is also radiating according to its temperature and emissivity back at the surface. This back radiation needs to be subtracted from the surface radiation to get the (net) radiative heat transfer at the surface. Add the non-radiative fluxes and it all balances out.
“It has to because of simple physics. The radiation is not directional. It is emitted in all directions, with about half going upwards and half downwards”
I am not sure what you’re claiming. What the atmosphere radiates looking up from the surface and what it radiates looking down from the TOA does NOT have to be the same amount.
“Hang on. Above you correctly said that the surface transfers some 398 W/m2 of energy to the atmosphere by radiation. Now you say it only transfers 20 W/m2 to the atmosphere by radiation. You were right the first time. Again you are confusing energy flows with heat flows.”
It only transfers around 20 W/m2 to the atmosphere beacause it radiates around 40 directly to space and the atmosphere radiates back around 340.
Roughly, 400 – 340 – 40 = 20.

Reply to  John Finn
May 8, 2018 11:00 am

Willis, heat (or energy) fluxes are balanced at the surface. Radiative fluxes are not and do not have to be, because there is convection and evaporation. Roughly:
165 = (400 – 340) + 85 + 20
165 = 60 + 85 + 20
The surface absorbs around 165 W/m2 solar. The cooling fluxes are around:
60 W/m2 radiative heat exchange (400 – 340) and only 20 W/m2 is to atmosphere, the rest (40 W/m2) is radiated directly to space,
85 W/m2 evaporation and
20 W/m2 convection.

John Finn
Reply to  astonerii
May 8, 2018 11:30 am

edimbukvarevic May 7, 2018 at 11:43 am

No. Convection and evaporation rule the surface-to-atmosphere heat transfer. ,

You didn’t read (or understand) my comment. I made the point that convection and conduction move energy through the atmosphere. HOWEVER, convection and conduction cannot ADD energy to the atmosphere.
That can only be achieved by increased solar radiation or a reduction in OLR. Greenhouse gases reduce the flow of OLR to space.

Reply to  John Finn
May 8, 2018 12:44 pm

John, it was your point that convection only move energy through the atmosphere and that it cannot add energy to the atmosphere that made me reply. That statement is wrong. Convective surface-to-atmosphere heat flux adds roughly as much energy to the atmosphere as the radiative one (LWIR). Evaporation from the surface adds roughly five time as much.

John Finn
Reply to  John Finn
May 8, 2018 2:06 pm

Convective surface-to-atmosphere heat flux adds roughly as much energy to the atmosphere

But that’s just moving energy around. You need to think of the climate system as a whole – i.e. oceans, surface, atmosphere …etc. Solar energy enters at the Top of the Atmosphere (TOA) and leaves at TOA.
Without greenhouse gases in the atmosphere, energy would be radiated directly to space from the surface. Greenhouse gases impede the flow form the surface which means that incoming energy from the sun will be greater than Outgoing radiation (OLR) to space. This means the surface and lower atmosphere will warm (basic thermodynamics) until Incoming = Outgoing.
The fact that energy is also moved around by conduction and convection is not really that relevant to this process. Energy can only be emitted to space by radiation. Greenhouse gases do play a role in the rate at which energy is lost to space.

Reply to  John Finn
May 8, 2018 2:33 pm

Greenhouse gases do play a role in the rate at which energy is lost to space

The non-condensing ones, play a very minor part, as Deserts show.
What sets Tmin, is dew point, and that’s independent of the non-condensing GHG’s, and that’s why CS is much lower than estimated by most.

bill hunter
May 6, 2018 6:43 pm

It occurs to me that the curve you perceived in your data. . . .5w/m2 per 1w/m2 in Antarctica and the .72w/m2 per 1w/m2 in the unfrozen areas of the globe is reflecting the effect of convection, particularly the global convective cells transferring heat to the poles thus there is not much of a lapse rate at the poles so convection is severely limited at the poles while the additional 1w/m2 at mid latitudes and the equator are going to convect strongly and move more heat to the poles. Nothing fancy just heat doing what heat does.

bill hunter
May 6, 2018 7:05 pm

seems to maybe an interesting correlation between net available solar energy in figures 4 and 10 and ENSO over the years, which you noted. Would maybe make sense after albedo, but I am a bit puzzled over what that could have to do with TOA incoming. . . .is figure 10 correctly described?

rishrac
May 6, 2018 9:32 pm

I don’t know whether the satellite is picking that number or it is calculated. To get 239.7 w/m^2 you need a TSI of 1370. The NOAA TSI as of 1.22.2018 going back to 1985 as no higher than 1363/1364 with most of the readings between 1360 to 1362. At 1360 the calculated W/M^2 is 238.
Then are you assuming the orbit of the earth makes no difference in the calculation? It does when when I do the numbers.Are you using calculus to obtain an instantaneous value? And where? The S-B is too simple for that. It appears that it requires a static situation. Are you assuming TSI is an average at TOA or is it selected at some point. If it’s 1370 w/m^2 at perihelion then at aphelion it’s 1291 w/m^2. (1291 x (1-a)/4 = 226 w/m^2.
At whatever number you use the difference is about 4 C.

rishrac
Reply to  Willis Eschenbach
May 8, 2018 4:51 pm

You don’t recognize this formula… ( 1370 x (1-a))/4 = 239.7 w/m^2. Which the next formula for black body radiation is (239.7)/(5.67 x 10-8) and the 4th root = 255 K. This is unfamiliar to you?
I have not seen any TSI that varies from 1370 w/m^2 to 1291 w/m^2. And that is the inverse power formula relating to the orbit of the earth. Are you telling me that the 4 C drop at aphelion is averaged? Or that the 1370 is averaged? Of course it’s really about 1360 w/m^2 which brings down the black body radiation to (1360 x (1-a))/4 = 238 w/m^2. So, (238)/(5.67 x 10-8) 4th root = 254.5 K. They’ve cooled the past and warmed the present. It’s a moving wave.
That 4 C drop causes climate changes that can not be averaged. And because of that, co2 responds to temperature.
In fact it was on this site last year or the year before the TSI was being reported monthly. And never ever was there a drop in TSI to reflect the orbit. In fact it has been discounted as the “orbit is nearly perfectly round and is not important “

Reply to  Willis Eschenbach
May 8, 2018 5:35 pm

Otherwise these tiny variations would be swamped by the ~90 W/m2 peak-to-peak annual variation in TSI. Obviously, you didn’t know that. Now you do.

Nope, hadn’t thought of that, thanks.

Reply to  rishrac
May 8, 2018 5:31 pm

This site has daily tsi info, it does vary a reasonable amount, not sure if its 4C worth or not.
https://www.pmodwrc.ch/en/home/
It’s what I use to calculate station insolation. I calculate a unit value based on station lat, and then I can swap in whatever has the best solar, I use this, but since it’s of limited length(all of the space based ones are of course), I also average it, and use that for dates prior to the start of the series. Basically I produce two station insolation sets, one with the average, the other with only the average, no mixing of average and actual.

ren
May 6, 2018 10:11 pm

At the south, the stratosphere is near the Earth’s surface.
http://ds.data.jma.go.jp/tcc/tcc/products/clisys/STRAT/gif/zt_sh.gif
At Concordia Station, only -68 C.
https://www.timeanddate.com/weather/antarctica/concordia-station/ext

May 6, 2018 10:34 pm

If anyone here had a FLIR camera I would have some work to be done. I found this sweet video on taken in Austria on youtube. Since date and time are provided, I could even determine surface temperatures at that place (5-10°C). Of course they were not interested in climatology, rather they just wanted to show their product.

Reply to  Leitwolf
May 7, 2018 4:21 am

What I’ve found is that when surface air temps are about 50°F, zenith temps are near -40°F. That lines up with this video. And clouds of any kind increase that temp. High thin ones a little, thick cumulus clouds return temps only 20 or 30°F cooler than surface temps. I routinely see clear sky temps 90° – 100°F colder than the surface.
What I want to see a FLIR video of the sky in the middle of the night when the cooling rate drops to near zero.
I expect to see it go from frigid to lighting up from water vapor latent heat being released.

Reply to  micro6500
May 7, 2018 10:52 am

Well that is the interesting question. We are missing any information on the altitude of these clouds. Probably they are relatively low, but even if they were just 1000m above the soil, they would be warmer than they should be. So is it IR emitted, or IR reflected???
If you have a chance to look at higher level opaque clouds, that cloud answer the question. Their emissions will sink according to their altitude and falling temperatures, but terrestrial IR reflected would stay quite stable. I would bet, that an opaque cloud at altitude will appear warmer in FLIR than it can be.

Reply to  Leitwolf
May 7, 2018 11:20 am

I’ve been “looking” with an 8u-14u ir thermometer for a few years now, and I presumed it was some of each(but good question), but they are always cooler than the surface, and all get cooler the higher/thinner they are.
I’ll have to try and see about looking at some opaque cloud temps. But I think I would have to compare thin vs thick clouds at the same altitude.
But finding any comparable clouds would be a first step.

Nylo
May 7, 2018 2:00 am

Willis,
“This gives a greenhouse multiplier factor of 398 / 240 = 1.66.
And that’s the curiosity because in Figure 8 the average multiplier factor is 0.72, well below 1.0. Because this multiplier is less than one, it would imply that the world should be much colder than it is …
How can we resolve this apparent contradiction? To me, it is evidence of something that I have said for many years. This is that the sensitivity of the surface temperature to the amount of downwelling radiation is not a constant as is assumed by mainstream climate scientists. Instead, it is a function of temperature. At temperatures above freezing, the surface upwelling radiation increases by about three-quarters of a W/m2 for each additional W/m2 of incoming solar radiation”.

This is an interesting finding, but I think that you are reading wrongly into it, or too much into it. While I totally agree that sensitivity is very likely dependent on the temperature, keep in mind the procedence of your data. The “adding of 1 extra W/m2 of available solar”, in your data, means actually moving to an area closer to the ecuator. It is not like if in the same area you suddenly increase the strength of solar energy. We all know that our planet’s radiation balance may or may not be in equilibrium as a whole, but it certainly is NOT in balance regionally. The tropical area is a clear net absorber and the poles are net emitters. This means that there is a great deal of heat being transported from the tropics to the poles, every second of the day. Your 1W/m2 increase of solar energy by moving closer to the ecuator comes together with an increase of how much heat the atmosphere and oceans are removing from the area and taking it further away towards the poles, it is an energy that depends a lot on the latitude. IF, to say something, in the new region with 1 more W/m2 of solar energy the oceans and atmosphere are removing 0.5W/m2 extra energy, then you are left with only 0.5W/m2 actual increase that would trigger the 0.72W/m2 response, meaning that the factor would be greater than one, not smaller. I have no idea what the actual numbers are, but for sure the effect exists and you are kind of ignoring it. It is NOT the same thing than what happens when you increase incoming energy by increasing GHGs in a given place, where you can assume that the ammount of energy taken away by atmosphere and oceans towards the poles stays the same.
I don’t know how to better explain the idea, I hope you understood what I mean. Best regards.

Reply to  Nylo
May 7, 2018 4:46 am

It is NOT the same thing than what happens when you increase incoming energy by increasing GHGs in a given place,

This is where all that stored energy in water vapor comes in, its stored until air temps near dew point, and then its released to replace the energy leaving the surface, as it’s trying to stop air temps from falling anymore than it has.
This is a very nonlinear process, and changes the rate of temp change at night. This process stops the temps from falling a lot more.comment image
At this site, on this night in Australia it stopped ~18°F of additional of cooling.

Nylo
Reply to  micro6500
May 7, 2018 4:58 am

micro6500, I am afraid we are talking about completely different phenomena. You are talking about how much temperatures change due to the radiation of energy or lack of incoming radiation. I am talking about the energy that moves away from some area due to the circulation of atmosphere and oceans and the fact that the air/water entering is hotter/colder than the air/water exiting. Willis’s initial calculation of the 0.72 factor assumed that the only thing that changed as he moves from one area to another in terms of energy are the incoming solar energy vs the outgoing longwave radiation, but this is not true, different areas have different ammount of energy loss/gain due to the movement of water and air into and out of such regions.

Reply to  Nylo
May 7, 2018 5:07 am

Fair enough. Thanks for clarifying.

Nylo
Reply to  Willis Eschenbach
May 7, 2018 9:22 pm

Thanks Willis. Now, correct me if I am wrong, but isn’t the 0.58 trend of figure 11 the wrong way to read things? I mean, you are saying that a watt per square meter of solar seems to cause 0.58 watts per square meter of surface radiation, when we know that the causality goes the other way round with El Nino events: changes in surface temperatures trigger changes in available solar energy (by modifying cloud cover). The delay between the two could be the reason why you see a weak positive correlation instead of negative.
In addition, given that we know that El Nino is initiated by a modification of air currents and reduced upwelling of colder waters, we can safely assume that temperature variations in El Nino are mostly caused by changes in how much heat is being transferred from the ecuator to somewhere else, be it the poles, or in this case, to the bottom of the ocean. By inhibiting cold water upwelling it is temporarily reducing the temperature difference between the water that enters the area and the water that leaves the area. The thing is that if the change in available solar energy is not the only thing that is changing in the energy balance, then it is not correct to assume that it is the only thing triggering the change in surface emissions.
Best regards.

May 7, 2018 4:59 am

Have you read this one: https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1002/2014RG000449 . Very interesting paper coming to very similiar conclusions and a test of GCM: ” …models fail to produce the same degree of interannual constraint on the albedo variability nor do they reproducethe same degree of hemispheric symmetry.”

ferdberple
Reply to  frankclimate
May 7, 2018 8:18 am

Symmetry is not compatible with the LIA being a northern hemisphere only climate feature.

ferdberple
Reply to  frankclimate
May 7, 2018 8:21 am

Did any climate theory predict hemispheric symmetry? If so it needs to be dusted off and moved ahead of the radiative transfer theory.

Reply to  ferdberple
May 7, 2018 11:15 am

ferdberple
my results of analyses of 54 weather stations shows no warming in the SH.

bitchilly
Reply to  frankclimate
May 7, 2018 3:08 pm

interesting paper frank. thanks for the link. some strong claims in there for a period of monitoring that doesn’t even cover quarter of a pdo or amo.

ferdberple
May 7, 2018 8:26 am

Did any climate theory predict hemispheric symmetry? If so it needs to be dusted off and moved ahead of radiative transfer.