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Showing posts with label climate physics. Show all posts
Showing posts with label climate physics. Show all posts

21 January 2019

Climate hysterics skyrocket by Paul Driessen

Increasingly absurd disaster rhetoric is consistently contradicted by climate and weather reality 

Call it climate one-upmanship. It seems everyone has to outdo previous climate chaos rhetoric.

The “climate crisis” is the “existential threat of our time,” Speaker Nancy Pelosi told her House colleagues. We must “end the inaction and denial of science that threaten the planet and the future.”

Former California Governor Jerry Brown solemnly intoned that America has “an enemy, though different, but perhaps very much devastating in a similar way” as the Nazis in World War II.

Not to be outdone, two PhDs writing in Psychology Today declared that “the human race faces extinction” if we don’t stop burning fossil fuels. And yet “even people who experience extreme weather events often still refuse to report the experiences as a manifestation of climate change.” Psychologists, they lament, “have never had to face denial on this scale before.”

Then there’s Oxford University doctoral candidate Samuel Miller-McDonald. He’s convinced the only thing that could save people and planet from cataclysmic climate change is cataclysmic nuclear war that “shuts down the global economy but stops short of human extinction.”

All this headline-grabbing gloom and doom, however, is backed up by little more than computer models, obstinate assertions that the science is settled, and a steady litany of claims that temperatures, tornadoes, hurricanes, droughts et cetera are unprecedented, worse than ever before, and due to fossil fuels.

And on the basis of these hysterics, we are supposed to give up the carbon-based fuels that provide over 80% of US and global energy, gladly reduce our living standards – and put our jobs and economy at the mercy of expensive, unreliable, weather dependent, pseudo-renewable wind, solar and biofuel energy.

As in any civil or criminal trial, the burden of proof is on the accusers and prosecutors who want to sentence fossil fuels to oblivion. They need to provide more than blood-curdling charges, opening statements and summations. They need to provideconvincing real-world evidence to prove their case.

They have refused to do so. They ignore the way rising atmospheric carbon-dioxide is spurring plant growth and greening the planet. They blame every extreme weather event on fossil fuel emissions, but cannot explain the Medieval Warm Period, Little Ice Age or extreme weather events decades or centuries ago – or why we have had fewer extreme weather events in recent decades. They simply resort to trial in media and other forums where they can exclude exculpatory evidence, bar any case for the fossil fuel defense, and prevent any cross-examination of their witnesses, assertions and make-believe evidence.

Climate models are not evidence. At best, they offer scenarios of what might happen if the assumptions on which they are based turn out to be correct. However, the average prediction by 102 models is now a full degree F (0.55 C) above what satellites are actually measuring. Models that cannot be confirmed by actual observations are of little value and certainly should not be a basis for vital energy policy making.

The alarmist mantra seems to be: If models and reality don’t agree, reality must be wrong.
In fact, even as atmospheric carbon dioxide levels climbed to 405 parts per million (0.0405% of Earth’s atmosphere), except for short-term temperature spikes during El Niño ocean warming events, there has been very little planetary warming since 1998; nothing to suggest chaos or runaway temperatures.

Claims that tornadoes have gotten more frequent and intense are obliterated by actual evidence. NOAA records show that from 1954 to 1985 an average of 56 F3 to F5 tornadoes struck the USA each year – but from 1985 to 2017 there were only 34 per year on average. And in 2018, for the first time in modern history, not a single “violent” twister touched down in the United States. 

Harvey was the first major (category 3-5) hurricane to make US landfall in a record twelve years. The previous record was nine years, set in the 1860s. (If rising CO2 levels are to blame for Harvey, Irma and other extreme weather events, shouldn’t they also be credited for this hurricane drought?)

Droughts differ little from historic trends and cycles – and the Dust Bowl, Anasazi and Mayan droughts, and other ancient dry spells were long and destructive. Moreover, modern agricultural and drip irrigation technologies enable farmers to deal with droughts far better than they ever could in the past.

Forest fires are fewer than in the recent past – and largely due to failure to remove hundreds of millions of dead and diseased trees that provide ready tinder for massive conflagrations.

Arctic and Antarctic ice are largely within “normal” or “cyclical” levels for the past several centuries – and snow surface temperatures in the East Antarctic Plateau regularly reach  -90 °C (-130 F) or lower. Average Antarctic temperatures would have to rise some 20-85 degrees F year-round for all its land ice to melt and cause oceans to rise at faster than their current 7-12 inches per century pace.

In fact, the world’s oceans have risen over 400 feet since the last Pleistocene glaciers melted. (That’s how much water those mile-high Ice Age glaciers took out of the oceans!) Sea level rise paused during the Little Ice Age but kicked in again the past century or so. Meanwhile, retreating glaciers reveal long-lost forests, coins, corpses and other artifacts – proving those glaciers have come and gone many times.

Pacific islands will not be covered by rising seas anytime soon, at 7-12 inches per century, and because corals and atolls grow as seas rise. Land subsidence also plays a big role in perceived sea level rise – and US naval bases are safe from sea level rise, though maybe not from local land subsidence.

The Washington Post did report that “the Arctic Ocean is warming up, icebergs are growing scarcer, and in some places the seals are finding the water too hot.” But that was in 1922.
Moreover, explorers wrote about the cyclical absence of Arctic ice long before that. “We were astonished by the total absence of ice in Barrow Strait,” Sir Francis McClintock wrote in 1860. “I was here at this time in [mid] 1854 – still frozen up – and doubts were entertained as to the possibility of escape.”

Coral bleaching? That too has many causes – few having anything to do with manmade global warming – and the reefs generally return quickly to their former glory as corals adopt new zooxanthellae. 

On and on it goes – with more scare stories daily, more attempts to blame humans and fossil fuels for nearly every interesting or as-yet-unexplained natural phenomenon, weather event or climate fluctuation. And yet countering the manmade climate apocalypse narrative is increasingly difficult – in large part because the $2-trillion-per-year climate “science” and “renewable” energy industry works vigorously to suppress such evidence and discussion … and is aided and abetted by its media and political allies.

Thus we have Chuck Todd, who brought an entire panel of alarmist climate “experts” to a recent episode of Meet the Press. He helped them expound ad nauseam on the alleged “existential threat of our time” – but made it clear that he was not going to give even one minute to experts on the other side.

“We’re not going to debate climate change, the existence of it,” Todd proclaimed. “The Earth is getting hotter. And human activity is a major cause, period. We’re not going to give time to climate deniers. The science is settled, even if political opinion is not.” The only thing left to discuss, from their perspective was “solutions” – most of which would hugely benefit them and their cohorts, politically and financially.

Regular folks in developed and developing countries alike see this politicized, money-driven kangaroo court process for what it is. They also know that unproven, exaggerated and fabricated climate scares must be balanced against their having to give up (or never having) reliable, affordable fossil fuel energy. That is why we have “dangerous manmade climate change” denial on this scale.

That is why we must get the facts out by other means. It is why we must confront Congress, media people and the Trump Administration, and demand that they address these realities, hold debates, revisit the CO2 Endangerment Finding – and stop calling for an end to fossil fuels and modern living standards before we actually have an honest, robust assessment of supposedly “settled” climate science.

Paul Driessen is senior policy advisor for the Committee For A Constructive Tomorrow (CFACT) and author of articles and books on energy, environmental and human rights issues.


Charles R. Anderson Comment:
"On and on it goes – with more scare stories daily, more attempts to blame humans and fossil fuels for nearly every interesting or as-yet-unexplained natural phenomenon, weather event or climate fluctuation."
In the pre-science era of mankind's history, every unexplained natural phenomena was attributed to the will of God and man had no need to understand that phenomena because it was sufficient that God understood it.  In the post-science era every unexplained phenomena is attributed to the Climate Change God and no one is supposed to question that god either.

I still aim to actually use science to understand reality, which is why I have written so often about the many huge errors and the inconsistencies in the physics which is claimed to provide the basis for the alarmist catastrophic man-made global warming hypothesis.  Because of these errors, there is no reason to be surprised that the climate models supposedly based on this erroneous science have been making wrong predictions.

However, in the post-science era an hypothesis that makes wrong predictions is held to be unquestionable, when in the science era it would have been obvious that wrong predictions invalidate the hypothesis.  This is the difference between science and theology.

10 June 2017

The Settled Science of Catastrophic Man-Made Global Warming Violates the Laws of Physics

President Trump has just recently announced that the U.S. will not participate in the Paris Climate Agreement.  He implied that he regarded it as a bad deal for the U.S. economy, while not necessarily disputing its premise that man’s use of fossil fuels was going to cause a disastrous deterioration of the Earth’s climate.  Only a minority of Americans seriously claim that the science behind the catastrophic man-made global warming hypothesis is wrong.  Most of mankind has been seriously misinformed on this critically important topic.

Almost all of the debate about the science is about whether the number of hurricanes of late; the world area under drought conditions; the area of melting ice somewhere in the arctic, Antarctica, or at the site of some glacier in the mountains is greater or reduced recently; the temperature of the ocean surface or at land stations near population centers has increased; or whether some area of the ocean has an increasing acidity or not.   Given the complexity of all the factors that might be linked to increased carbon dioxide in the atmosphere and their cycles over decades and more, this debate could easily go on for decades with no certain conclusion.  The possible symptoms of man-made global warming are too much affected by weather, cycles in solar energy output, ocean heat cycles, and high altitude wind currents to clearly see the underlying long-term climate equilibrium trends.

Meanwhile, the alarmists will go on claiming that the Precautionary Principle requires us to make radical cut-backs in our use of carbon-based fuels, no matter the consequences in the cost of energy and its availability for the poor and most everyone else, on jobs, and on economic growth.  Preventing an imagined disaster decades into the future takes precedence over the well-being of billions of humans in the meantime in the eyes of the many advocates of the catastrophic man-made global warming hypothesis.

This long, drawn out debate is unnecessary.  Worrying about a future climate catastrophe has no basis in the physics of the climate.  It turns out that the so-called settled science has internal flaws in the physics that constitutes its very most fundamental basis.  The advocates of the global warming by carbon dioxide hypothesis have told us that the science is settled. They make some very specific claims about how so-called greenhouse gases cause the present temperatures of the Earth’s surface and atmosphere to be warm as a part of what they claim to be the settled science.  Consequently, we can challenge the physics they claim to be behind the present conditions that control the Earth’s basic climate.  We do not even need to wait to see if their catastrophic man-made (anthropogenic) global warming hypothesis makes correct predictions for the future.  In challenging the physics of their theory, we may well learn more about what the effect of additional carbon dioxide on the climate in the future will be.  In any case, if their reasoning for the present temperatures of the surface and atmosphere is substantially wrong and in violation of fundamental laws of physics, then any further predictions they may make have no basis in science.  If they do not understand the present, they certainly do not understand the future.

Let me first lay out what their basic argument for how infrared-active (so-called greenhouse) gases cause the Earth to be much warmer than it would be without them.  Having done so, I will proceed to demolish their argument by showing the many ways in which it defies well-known physics principles, none of which the scientific advocates of the strong greenhouse effect will actually deny are true principles of science.  In fact, they make a pretense of using these same principles of science themselves.

Let us begin with an examination of the Earth Energy Budget NASA currently has on its website to explain the effect of infrared-active gases in warming the Earth.  Because this and many similar Earth energy budgets have been a key part of the claimed science of anthropogenic global warming by infrared-active gases for many years now and because they are adamant in claiming that the science is settled, then any violations of scientific principles in this NASA Earth Energy Budget invalidate the complete argument for catastrophic man-made global warming.

When faced with a complex scientific problem, a good scientist should have the wisdom to first establish whatever limits he can on what the range of physically possible solutions might be by seeing if he can establish lower or upper bounds for the values of a property he wishes to measure or calculate.  He will learn something about the essence of the complex problem in the process and he will protect himself from becoming an advocate for a physically impossible solution to the problem.  This has the real benefit of protecting him from making ridiculous conclusions.



According to this energy budget, the total photon energy flux absorbed by the entire Earth system is the incoming solar radiation absorbed by the atmosphere plus that absorbed by the surface, which is

P (solar absorbed) = (77.1 + 163.3) W/m2 = 240.4 W/m2

Watts are Joules/second, or the rate at which energy flows.  This 240.4 W/m2 is the largest possible photon energy supply that the surface might ever be able to absorb.  It is an upper limit, since nothing on the Earth can add to the energy introduced into the Earth system from the solar radiation, save a possible very minor contribution of heat leakage from the hot interior of the Earth, which they do not consider in their energy budget.  This upper limit is actually further reduced by the amount of any energy absorbed by the atmosphere which is directly emitted as radiation into space, which is the case for sure of much of the 77.1 W/m2 absorbed from sunlight in the atmosphere.  This upper limit is a simple matter of conservation of energy.

Now we can immediately see that this energy budget claims that there is a miraculous supply of energy-bearing photons absorbed by the surface with a power of

P (surface absorbed) = (163.3 + 340.3) W/m2 = 503.6 W/m2

Where does this addition energy in the form of photons come from?  According to the settled science, this is not additional energy because the total energy flowing out of the Earth system at the top of the atmosphere is the maximum power of the first equation minus the net absorbed heat (0.6 W/m2 ) in the surface of a slowly warming Earth.  According to them, one can add as many photons as one wishes with as much energy as one wishes within the Earth system of atmosphere and surface, so long as enough of those photons have negative energy to cancel out the positive energy of other photons.

Of course, they never say it this way because there is no such thing as positive and negative energy photons.  The reality is that there are only positive energy photons and this settled theory has created a huge supply of energy carried by photons in violation of the Law of Conservation of Energy.  Somehow, greenhouse gases are supposed to have created a supply of photons with an additional energy flow rate of (503.6 – 240.4) W/m2 = 263.2 W/m2  compared the maximum possible energy in the form of photons, which is even more energy than was absorbed in the entire Earth system from the sun!

If the total rate of energy into the Earth system is 240.4 W/m2, this is the highest rate at which energy might leave the surface.  However, since the energy budget provides for a net absorption, thermals losses, and water evaporation, the largest possible flux of energy carried by photons leaving the surface on invoking the Law of Conservation of Energy is

P (photon energy flux leaving surface) = (240.4 -0.6 – 18.4 – 86.4) W/m2 = 135.0 W/m2

But having no regard for the Conservation of Energy, the settled science insists that photons carrying energy at the rate of 398.2 W/m2 are leaving the surface.  Somehow photons carrying energy at a rate of (398.2 – 135.0) W/m2 = 293.2 W/m2 have materialized out of nowhere through the miracle of greenhouse gases.  The photon flux leaving the surface is 398.2 / 135.0 = 2.95 times the theoretical upper limit.  Well, never let mere physics stop you from making whatever argument you might think will be good for the maintenance of the environment or the justification to propagate more governmental controls and taxes.

The ridiculous physics does not stop with these violations of the Conservation of Energy.  When once one has deviated so far from physical reality, it is necessary to violate still more well-known physics.  I will now apply a similar examination of physical limits to the issues of the amount of infrared radiation from the surface that is absorbed by the atmosphere and the amount of radiation from the atmosphere which is absorbed by the surface.

There is a well-known law of thermal radiation called the Stefan-Boltzmann Law which says that the power per unit area of thermal radiation from a black body radiator is

P (W/m2) = σ T4,

which is the maximum power that can be radiated by a black body when it has no competing power loss mechanisms to radiative cooling and is surrounded by vacuum at absolute zero temperature, or 0 K.  σ = 5.6697 x 10-8 W/m2 K4 and T is the absolute temperature in Kelvin, represented by K.  Of course, real materials usually radiate less power than this and do so to an environment which is not at 0 K, though deep space is at least close to that temperature.

The power that a cooler black body at Tc absorbs from a warmer black body radiator at Tw is

P (absorbed, W/m2) = σ ( Tw4 – Tc4 )

This power is greater than that which can be gained by a real material which is not a black body material from warmer real material which is more like a black body material.  Consequently, we will be using this to establish the upper limits of the transfer of heat by thermal radiation from the warmer Earth surface to the cooler atmosphere.

Returning to the NASA Earth Energy Budget, the Earth’s surface is shown to deposit 358.2 W/m2 of energy flux into the atmosphere out of the 398.2 W/m2 that it emits.  This surface emission of thermal infrared radiation from a black body behaving as though it were surrounded by 0 K vacuum implies a surface temperature of

P = 398.2 W/m2 = (5.6697 x 10-8 W/m2K4) T4, so T= 289.5 K,

Which is the highest average surface temperature for the Earth that I have ever seen claimed.  The usual range of temperatures claimed in the settled science is 287.5 to 288.5 K.

As I have done in some of the recent articles I have written, we will now calculate the temperature of a black body spherical shell surrounding the Earth which would be capable of absorbing the 358.2 W/m2 said to be absorbed from the surface thermal radiation by the atmosphere.  This is

P (absorbed, W/m2) = 358.2 W/m2 = σ ( Tw4 – Tc4 ) =
(5.6697 x 10-8 W/m2K4) [(289.5 K)4 – Tc4], so Tc = 163.0 K

As I have previously pointed out, there is no part of the Earth’s atmosphere with a temperature as low as 163.0 K.  Insofar as infra-red absorbing gases in the atmosphere fall short of absorbing all of the infrared radiation from the Earth’s surface as efficiently as a black body absorber would, the required temperature of the absorbing gas molecules would have to be lower yet.  In fact, since they simply cannot absorb some of the infrared radiation frequencies or wavelengths from the surface at all, even if the so-called greenhouse gas were at zero Kelvin, absolute zero temperature, those greenhouse gases could not absorb as much energy flux as a black body absorber can at 163K.

Of course water vapor tends to condense in the atmosphere when it reaches just 273.15 K (0⁰C), so there is a rapid decrease in the water vapor concentration even in the upper troposphere.  However, at pressures below 5.1 atmospheres carbon dioxide does not liquefy, let alone solidify.  In fact, the coldest part of the Earth’s atmosphere, the mesopause, at 86 km to 90 km has a minimum temperature of about 187 K because carbon dioxide radiates heat to space so efficiently from that super low density layer of the atmosphere.  Carbon dioxide is generally an effective coolant in the atmosphere above the altitude of water vapor condensation.  This is just one of many ways that CO2 acts to cool the Earth.

So let us examine the spectrum of energies of the photons that make up the thermal radiation from the Earth’s surface modeled as a black body radiator in vacuum and surrounded by nothing but space at absolute zero temperature.  Because we are interested in the flux of energy carried away from this hypothetical surface, which is exactly the surface assumed real in the settled science of the NASA Earth Energy Budget, I will provide the spectrum of radiated energy flux versus the radiated photon energy E = h ν, where h is Planck’s constant equal to 6.625 x 10-34 Joule-sec and ν is the frequency per second.

Because the energy of each radiated photon is very small, I will plot the energy scale in eV, a unit of energy equal to 1.602 x 10-19 Joules.  One Joule/second is a Watt.  This plot of power in W/m2 is for a more commonly accepted Earth average surface temperature of 288 K.  The area under the power output curve is the total power output due to the radiation from a black body radiator at 288 K, which is 390.06 W/m2.

Below the power output of the black body model of the Earth’s surface is a plot showing the infrared absorption spectra of water vapor and carbon dioxide taken in my laboratory using my FTIR infrared spectrometer.  This spectrometer does not produce an infrared beam with adequate intensity to make absorption measurements below an energy of 0.05 eV, so the absorption spectra start there and extend to about 0.9 eV for generally useful data.  The carbon dioxide concentration was several times that of the normal atmosphere and the water vapor was above 50% RH measured against an instrumental background spectrum made at about 25% RH. 





The important point here is not one of the relative degree of absorption of water vapor compared to carbon dioxide.  The critical point here is that from about 0.09 to 0.155 eV there is no absorption by either water vapor or carbon dioxide.  A good fraction of the infrared radiation emitted by the black body modeled surface of the Earth lies in this range, which is called the atmospheric window.  This portion of the power spectrum in which no absorption takes place is about 35.5% of the power radiated from the black body modeled Earth surface.  This is about 138.5 W/m2 which should be emitted to space if the Earth’s surface really radiated as a black body radiator as the settled science says it does.  Any incomplete absorption of the surface radiation at other energies would have to be added to this.

So how is it that the NASA Earth Energy Budget says that only 40.1 W/m2 is emitted from the surface into space?  If a minimum of what they say is emitted from the surface and will not be absorbed by water vapor or carbon dioxide is 138.5 W/m2, then the power they claim is emitted to space is only 29% of that minimum.  NASA says only 10.1% of the surface emitted radiation is emitted to space through the atmospheric window.  This sure would make the use of infrared sensors a lot more difficult than it is.  Fortunately, our military infrared sensor designers know that the NASA story on the atmospheric window is wrong.  In fact, many scientists in NASA surely know this is wrong, except for those steeped in Climate Change funding for their work there.  About half of the NASA budget recently has been directed at Climate Change investigations, so NASA has a huge incentive to hype climate alarmism.


The bottom line is that for the 358.2 W/m2 to be absorbed in the atmosphere out of the 398.2 W/m2 that NASA says is emitted from the surface, the absorber needs to be a black body absorber located about 6 Earth orbit radii from the sun.  That is how far one has to go out into our solar system to find sufficiently cold space to serve as the absorbing black body sphere to absorb so much radiation.  This is in no way a part of the Earth’s atmosphere and energy dumped into space cannot become significant back radiation to constitute a good part of the 340.3 W/m2 that NASA is claiming is back radiation from the atmosphere to the surface.  Of course we already know that 340.3 W/m2 of back radiation is impossible because there is only 240.4 W/m2 of power entering the entire Earth system.  But if you are willing to violate the Conservation of Energy, it is hardly surprising that you are driven to violate the Stefan-Boltzmann Law of thermal radiation.  One violation of reality inevitably leads to numerous other violations of reality.

We can also ask what the temperature of the black body radiator would have to be to generate the 340.3 W/m2 of back radiation that NASA is claiming in the settled science occurs.  We have

P = 340.3 W/m2 = (5.6697 x 10-8 W/m2K4) T4, so T= 278.3 K,

which in the U.S. Standard Atmosphere of 1976 means this radiation could originate from a black body sphere at an altitude of about 1500 meters.  Now we have learned that the 398.2 W/m2 emitted from the surface could not contribute 358.2 W/m2 to the atmosphere at an altitude of 1500 m.  Let us calculate about how much it could deposit into the atmosphere if it were a black body absorber.  This number will of course be a generous upper limit.  In fact, we could say the upper limit will be only 64.5% of this taking into account our measurement of the minimum power lost through the atmospheric window.

The maximum black body absorbed power at 278.3 K in the atmosphere from the surface would then be:

P = (5.6697 x 10-8 W/m2K4) [(289.5K)4 - (278.3K)4] = 58.1 W/m2,

where I have used the NASA Earth average surface temperature of 289.5 K.  If we then subtract from this the minimal fraction lost through the atmospheric window, which is 35.5%, the power at about 1500 m altitude absorbed from the surface is only 37.5 W/m2.

Now let us determine an upper limit for the amount of power available in the atmosphere at 1500 m altitude.  We clearly have less than

77.1 W/m2 total atmospheric absorption from the sun, a large over-estimate
18.4 W/m2 in thermals
86.4 W/m2 in latent heat due to water condensation (much of which happens well above 1500 m altitude
37.5 W/m2 absorbed from the surface
Total Upper Limit Power Available in Atmosphere near 1500 m altitude = 219.4 W/m2

Now converting this upper limit power into radiation properly would mean that it would flow from warmer air to cooler air and therefore would almost all be transported upward through the atmosphere.  But in the NASA mindset, one fallaciously a part of the settled science viewpoint, thermal radiation is isotropic.  If one accepts that viewpoint, then only half of this upper limit of 219.4 W/m2 could become back radiation to the surface.  That value of half is then 109.7 W/m2.  Any claim of back radiation in excess of this amount is clearly absurd.  So, the NASA claim of 340.3 W/m2 of back radiation to the surface is at least (a lower bound) 3.1 times absurd.  In fact, any real back radiation is many times smaller than 109.7 W/m2.

Having discovered so many ways in which the NASA Earth Energy Budget of the settled science is ridiculous, one has to wonder if they got anything right.  I find myself very suspicious of the surface power loss to thermals and to latent heat through water evaporation.  On the other hand, one would think that they might be able to make good measurements of the reflection of solar radiation at least in total if not separately for that from the atmosphere and the surface.  I would also think that they could measure the radiation from the surface through the atmospheric window quite well also.

Let us examine some implications of this atmospheric window measurement.  If it is minimally 35.5% of the surface emission, then the surface radiative emission is at least 113.0 W/m2.  Let us now calculate the maximum power that the surface can emit in the form of radiation now that we have a very high upper bound for the back radiation under the assumption that NASA has the other absorbed and loss energy fluxes correct:

163.3 W/m2 absorbed from the sun
-18.4 W/m2 lost to thermals
-86.4 W/m2 lost to water evaporation
-0.6 W/m2 residual absorbed heat causing long term warming of the surface
109.7 W/m2 in greatly exaggerated back radiation
Maximum total radiation emitted from the surface = 167.6 W/m2

This generous maximum is only 42% of what NASA claims the thermal radiative emission to be.  Apparently, the surface of the Earth cannot radiate thermal energy as a black body radiator in vacuum surrounded by absolute zero would.  This should be no surprise.  This is once again a consequence of the Conservation of Energy.  Consequently, we know that within the framework of some of the measurements claimed as a part of the settled science that the thermal radiation from the Earth’s surface has be between 113.0 and 167.6 W/m2.

Why do materials emit thermal radiation?  The temperature of a material is determined by its kinetic energy.  Materials with internal modes of vibration share the kinetic energy they have equally with all the modes of motion available to the material.  The internal vibrations of atoms bound to one another necessarily cause electric charges to accelerate and decelerate due to oscillatory vibrations in the material.  The emission of electromagnetic radiation then depends upon the kinetic energy of bound atoms and their resonance states.  Solid materials tend to have so many modes of vibration that they emit radiation across a very wide spectrum of photon energies.  Liquids tend to be similar in this regard, though the range of energies tends to be a bit less.  Gas molecules, however, consist of very small numbers of atoms and consequently have few modes of vibration.  There emission spectra tend to have more discrete and narrow emission lines.  Contrary to popular belief, nitrogen and oxygen molecules do have electromagnetic emission spectra, though they lie outside of the infrared portion of the spectrum.  Oxygen actually has a small absorption and emission line near the border of the red visible light to near infrared spectrum that allows it to absorb some of the incoming solar insolation.

Let us suppose we are examining a few atoms on the surface of wet soil.  Each time a water molecule is evaporated from that wet soil, that molecule carries away an energy equal to its latent heat of evaporation.  This cools those atoms immediately around the site from which the water molecule evaporated from the surface.  Now heat will flow into this microscopic region from the warmer surrounding atoms, but for an instant in time this fractional area of the surface is cooler than the nominal average temperature of the surface.  As a result, any thermal emission of radiation from this microscopic area will be that from a slightly cooler surface.  This means that fractional area will be emitting slightly less power than will areas of the surface at the average temperature of the material.  The mean emitted photon energy will be slightly less also.  Similarly, if a cooler air molecule strikes a warmer surface and carries away a bit of energy as a result of that collision, then the surface will locally be cooler for a moment and that area will emit less thermal radiation.

Materials with water in them or in contact with air do not act exactly like black body radiators in space for this reason.  Energy is conserved.  Energy used to evaporate water cannot also be used to emit photons.  Energy transferred to the air molecules by collisions to increase their kinetic energy cannot be emitted as a photon.  This is not to say that there are not fractions of a macroscopic surface which are radiating on the microscopic level as one expects the same material to do in vacuum with no energy loss mechanisms except thermal radiation.  A square meter of the Earth’s surface might have 60% of the area emitting thermal radiation as though it were in vacuum, while the rest of the surface is radiating slightly less power and with a slight shift in the distribution of emitted photons to lower photon energies.

The emission is also limited by the temperature of the materials surroundings.  As we noted above, the radiation emitted is proportional to the difference of the fourth power of the temperature of the emitter and the absorber of the radiation.  Photon emission occurs because of electromagnetic fields and those photons travel along an electric field dependent upon the gradients of the electromagnetic field.  Photons are not just flung about as a primary entity.  They are creatures of electromagnetic fields.  The emitting higher temperature source is connected to the absorbing lower temperature photon sink by this electromagnetic field.  When you assume that every material is emitting radiation as a black body would when surrounded by vacuum at 0K, you will necessarily generate a host of non-existent photons which will upset the energy balance.

The act of ignoring the proper transfers of radiative power between objects has played a great role in the failure to recognize that the Earth’s gravitational field causes a kinetic energy gradient in the atmosphere.  Because the temperature of perfect or ideal gas is proportional to its kinetic energy, this means that gravity produces a temperature gradient in the atmosphere.  This long known gravitational temperature gradient does not imply a heat transfer or flow along the temperature gradient, though most scientists are under the misconception that any temperature gradient implies a flow of heat energy.  That belief is wrong.  Because the settled science ignores this gravitational temperature gradient and posits an exaggerated surface thermal radiative cooling compensated with a gigantically exaggerated back radiation, it could hardly be more in error.

As I have shown, the settle science represented by the NASA Earth Energy Budget is nonsense science.  It is self-contradictory in numerous ways.  It violates the Conservation of Energy.  It violates the transport of energy between objects of different temperatures by thermal radiation.  These are simple problems clearly and easily observed.  Given the huge expenditures of federal funds, United Nations funds, and the funds of many governments of developed nations around the world on issues relating to the catastrophic man-made global warming hypothesis, it is impossible to believe that there are not many scientists who are aware of these violations of physics and reality.

Yet there are too few scientists who are trying to bring these colossal mistakes to light. There are many pressures on scientists to conform to the prescribed theory.  Most scientific research performed at universities is funded by the federal government and it has been the policy of the government to only fund those who accept or at least do not deny the truth of the catastrophic man-made global warming hypothesis.  There are also many government employee scientists under great pressure to conform.  Publishing papers opposed to the hypothesis in scientific publications has been made very difficult by what can only be termed a conspiracy.  There are many scientists who have told me that catastrophic man-made global warming theory is wrong, but they will not tell the public that out of fear for their careers.  This is why many of the open critics of this nonsense theory are retired scientists.
Nonetheless, the claims that 97% of scientists believe in catastrophic man-made global warming are completely bogus.  A more realistic assessment would be that about one-third do believe in it, about one-third are not sure, and about one-third think the hypothesis is unlikely true.

I am not retired.  I operate a materials analysis laboratory which uses electromagnetic radiation extensively to characterize material properties.  Relatively little of our funding comes directly from government agencies.  We have performed analyses for carbon fuel companies, but have actually done more work for so-called green energy companies.  I really do not have a horse in this race from a financial standpoint.  I am only concerned about the integrity of science, the freedom to think and act independently, and the well-being of my fellow man.  There is much evil being done in the name of the catastrophic man-made global warming hypothesis and the alarmist attempts to promote it at the expense of rational thought and action.

28 November 2016

Is There a Climate Science Consensus?

Is there any level on which a climate consensus can be said to exist?  Only at the most obvious level, which is that everyone agrees that the climate changes.  The realists know that the climate has always changed, drastically over millions of years of alternating Ice Ages and Warm Periods and within a narrower range over the warm last 12,000 years, with such periods as the Minoan Warm Period, the Roman Warming, the Medieval Warm Period, and the present warm period.  The catastrophic man-made global warming alarmists claim that the climate was very stable prior to the Industrial Age, which just happens to have had its start at the end of the Little Ice Age according to the Climate Realists.  But, since man became powerful and plentiful as a result of the Industrial Age, the alarmists say that climate change now occurs mostly due to man, specifically due to his emissions of some infra-red active gases, primarily carbon dioxide.

Obama and legions of those who argue that mankind faces its greatest challenge in trying to prevent the catastrophe of man-made or anthropogenic global warming, like to claim that 97% of scientists agree with them.  This claim is based on a completely bogus survey of published papers, with papers simply stating that there may be some human influence on climate being counted as part of a scientific consensus.

It is not noted that almost all climate research or other research with any implications about the climate at all is funded by governments, almost all of which will not fund research that is unfavorable to the thesis that man has warmed the planet badly since the start of the Industrial Age.  If you are a scientist and you want further government funding for your research, you are likely to be rewarded if you find some way in which your results support the government-favored thesis of catastrophic anthropogenic global warming.  If your results are contrary to that thesis, it will be fatal to further funding support to take note of that.  You had best put another interpretation on your results.

One of the most interesting observations is that retirement brings on a major change of viewpoint for many scientists.  Those who supported the alarmist claims before retirement often oppose it afterwards. Those who were silent on the subject often come out against the alarmist thesis after retirement.  This applies to many scientists who are not climate scientists, but are experts in radiation such as infra-red, visible light, and ultra-violet light radiation.  Just like climate scientists, it is harmful to their careers if they speak out against the so-called consensus the governments have tried so hard to create.  NASA, Navy, Air Force, Army, EPA, NOAA, Department of Energy with its 17 energy research laboratories, Department of the Interior, Agriculture Department, and university researchers in the sciences in the USA are all given good reason to be fearful about their careers if they speak up against the alarmist crusade.  The government has worked ruthlessly hard to try to produce a "scientific consensus", but has massively violated both foundational epistemologic principles and the scientific method in the process.  Both depend critically on a commitment to reason, independent thinking, and on freedom of speech and press.  The tendency of all but the most legitimate and principled of governments to wish to limit independent thinking and the free trade in ideas is one of the great dangers of putting the government in charge of basic research funding.

Most of the scientists said to be supporters of the catastrophic man-made global warming thesis can not provide a decent explanation of the physics which is supposed to cause the emission of the so-called greenhouse gas carbon dioxide to cause a catastrophic level of warming.  They should most definitely not be counted as scientists who are the basis for a scientific consensus, despite that fact that some of them may have an unscientific belief in that alarmist thesis. What would a true scientific consensus be?  It would consist of those scientists who had a coherent, carefully laid out and reasonably complete single theory of how man's emissions of infra-red active molecules such as carbon dioxide and methane caused such a large warming of the globe that a catastrophe for mankind must certainly occur.  Those holding the scientific viewpoint could all articulate this theory and explain how it agreed with observations of reality and how it could make predictions of the climate's characteristics of the future.  They would agree on all of these things.  This is what a scientific consensus would be.

Most of those who attempt an explanation today will initially try it by using an argument similar to that used in the IPCC reports from 2001 through 2014. This explanation of the science is based on a viewpoint provided in the following Earth energy budget:




Fig. 1. Kiehl-Trenberth energy budget for the Earth of 1997.  This represents a common viewpoint of the physics that is used to justify the catastrophic man-made global warming hypothesis.  It is apparently the settled science. It will be demonstrated to be very wrongheaded.  I have added the percentage power flux values with 342 W/m2 equal to 100% and approximately equal to one-quarter of the solar power incident upon the Earth most directly facing the Sun.  More recent energy budgets have slightly different numbers, but the viewpoint is the same and the claim of a scientific consensus has not changed.

The IPCC reports claim that solar radiation absorbed at the surface of the Earth causes the Earth's surface to emit about 2.3 times as much energy in the form of infra-red radiation as it absorbed from the sun.  This seems plausible to them because they believe that a body will emit infra-red radiation at the bottom of the atmosphere and with water all over the surface just as the body would if it were isolated in space.  This is not the case.  Infra-red radiation is emitted from oscillating dipoles and they cannot emit all of their energy in the form of radiation when those same oscillating dipoles are dumping energy into the evaporation of water and losing energy via collisions with air molecules.

But having started off by neglecting the conservation of energy, the IPCC has to balance out the flow of energies, so they posit a huge back-radiation flow of energy from the so-called greenhouse gases in the atmosphere.  Let us take note of what the 324 W/m2 of back-radiation implies.  A black body radiator emitting this power would be at a temperature T, such that

P = 324 W/m2 = σ T4 = (5.6697 x 10-8 W/m2K4) T4,

implying that T = 274.95K.  This is the temperature of the air in the U.S. Standard Atmosphere of just barely more than 2000 meters.  The altitude would be higher in the tropics.  A back-radiation of this magnitude implies a long mean free path at the bottom of the atmosphere where there is usually much water vapor.

However, we can also examine the implied mean free path of the infra-red radiation emitted from the surface and absorbed by the atmosphere.  The power difference between the surface emission and the atmospheric absorption (390 - 350) W/m2 = 40 W/m2 has the property that 

P = 40 W/m2 = σ [ (288K)4 -  T4 ] = (5.6697 x 10-8 W/m2K4) [ (288K)4 - T4 ],

where T is the effective temperature of the atmosphere where the surface radiation emission is absorbed by the atmosphere.  This temperature is 280.3K, which is not equal to the 274.95K temperature of the atmosphere that radiates back to the surface as back-radiation according to the UN IPCC report physics.  The implied effective altitude of the surface radiation absorption in the atmosphere is much shorter in this case than that for the 2000 meters altitude from which the atmosphere radiates the surface in the UN IPCC energy budget.  The energy spectrum from the higher temperature Earth surface has more higher energy infra-red radiation in it than does that emitted by the cooler atmosphere, so the mean free path of surface radiation should be greater, not less.

This inconsistency in the infra-red absorption lengths implies that the numbers in the UN IPCC Earth energy budget are simply made up to balance the flow of energy in and out of the Earth's surface, without concern even for a consistent physical theory.  This is exactly what would happen if the 390 W/m2 of surface emitted infra-red radiation were too large, as it is due to conservation of energy.

Examining Fig.1., one sees that 40 W/m2 of radiation from the surface is emitted through the atmospheric window directly into space without absorption in the atmosphere.  Thus, of the total of about 235 W/m2 of infra-red radiation that the Earth emits into space, about 195 W/m2 is emitted from the atmosphere.  This is also the sum of the emission from the clouds and the atmosphere in the diagram.  We can calculate the effective temperature of this emission and from that find the effective altitude from which the emission from the atmosphere into space occurs.  We have


P = 195 W/m2 = σ T4 = (5.6697 x 10-8 W/m2K4) (T)4

and we find that T = 242K.  In the U.S. Standard Atmosphere Tables of 1976, this temperature is at an altitude just above 7000 meters.  It is a higher altitude in the tropics.

Now if the mean free path for water emitted and absorbed radiation where water is very prevalent in the bottom 2000 meters of the atmosphere is as great as is implied by Fig. 1, then one should expect that the emission of atmospheric radiation into space would occur from about the same altitude that water freezes into ice. There is much less water vapor above that altitude than below it.  Everyone agrees that the vast majority of infra-red radiation into space is from water vapor.  In the U.S. Standard atmosphere tables, the altitude at which water freezes is a bit below 3000 meters, which is much lower than 7000 meters.  There is a contradiction here in this IPCC theory of how the so-called greenhouse gases work.

The very large back-radiation does not happen for several reasons.

1)  It violates electric field theory by claiming that photons flow from a weaker field region up the electric field strength gradient.

2)  The infra-red active molecules are not black-body radiators or absorbers.  They are only able to absorb and emit radiation at wavelengths representing only a minority portion of the wavelength range of a black-body radiator.

3)  It fails because the mean free paths of the infra-red radiation that can be absorbed or emitted by water vapor and carbon dioxide are very short.  That means that these molecules absorb the infra-red energy they can absorb and emit over a very short distance.  While the mean free path length for wavelengths that water can absorb depends upon the humidity, this length is commonly less than 200 meters.  For carbon dioxide in a water vapor-free atmosphere at present concentrations, this distance in the lower atmosphere is only a few times greater than that for water vapor.  When water vapor is present, because most of the wavelengths at which carbon dioxide is active are also absorbed by water vapor, the effective mean free path length for carbon dioxide emitted infra-red radiation is much shorter than that due to only having the same concentration of carbon dioxide in a water vapor free atmosphere. In the lower half of the troposphere, the likelihood that the absorbed radiation in a greenhouse gas molecule will be re-emitted before it is transferred to non-radiating molecules in the infra-red range is very small.  There is just too high a collision rate between molecules, so that radiation energy absorbed in a so-called greenhouse gas is almost immediately changed into molecular kinetic energy in non-radiating molecules.  That energy is then very predominantly transported by the relatively slow mechanism of convection.

Thus, there is no way that the atmosphere as a whole can radiate a large quantity of infra-red radiation back to the Earth's surface in accordance with the IPCC viewpoint.  The supposed back-radiation in the energy budget above is 1.93 times the solar radiation energy absorbed by the surface! This back-radiation under the equilibrium conditions with a linearly decreasing temperature gradient with altitude cannot occur.  There are conditions when the atmosphere is warmer than the surface and then there is some radiation from the atmosphere to the surface, but the amount of such radiation is still severely restricted by the short mean free path of radiation from the main so-called greenhouse gas, water vapor and that of the very secondary carbon dioxide.

In reality, the Earth's surface is a very dense array of oscillating electric dipoles which create a comparatively strong electric field.  Upon entering the atmosphere, only a small fraction of the molecules are sufficiently strong oscillating electric dipoles to absorb or emit infra-red radiation. These are water vapor and carbon dioxide for the most part.  Consequently, the electric field in the lowest atmosphere virtually in contact with the surface has a rapidly decreasing strength and it then further slowly decreases as the density of water vapor and carbon dioxide decreases with altitude in the lower troposphere.  The strength of the electric field then decreases more rapidly as water vapor freezes at altitudes above its freezing temperature.   Above that altitude it continues to decrease at a slower rate as carbon dioxide continues to become less dense along with the main atmospheric gases of nitrogen, oxygen, and argon.  The actual emission of infra-red radiation follows the electric field from its stronger regions to its weaker regions, which means that infra-red photon emission is strongly biased in the upward direction.

The basic problem that greenhouse gas theory is trying to address is the fact that the surface temperature of the Earth is about 288K, while the effective radiative temperature with respect to space of the entire Earth including both surface and atmosphere is about 255K.  Much of the radiation of infra-red into space is from altitudes in the atmosphere which are considerably cooler than the surface temperature, though some of the radiation is from the surface through the atmospheric window.  Note that the temperature difference between 255K and 288K is 33K, which is attributed by the greenhouse gas hypothesis to warming of the Earth by greenhouse gases.  The viewpoint is one which is entirely dominated by a belief that by far the only significant transport of energy in the entire atmosphere is by means of radiation.


In fact, the transport of energy away from the surface of the Earth is dominated by the sum of the energy transport by water evaporation and condensation at altitude and by convection currents. As noted above, the transport by radiation in the lower troposphere is small, except for that transmitted through the atmospheric window and not absorbed by the atmosphere.  Transport by radiation that can be absorbed by infra-red active gases is so small due to the short mean free path for the absorption of radiation from water vapor molecules predominantly and very secondarily from carbon dioxide combined with the very high collision rate of air molecules. Infra-red active molecules radiate energy which is very quickly converted into kinetic energy in non-radiating nitrogen and oxygen molecules, and in argon atoms. Most of the air molecules can only transport heat energy by convection.

According to Fig. 1. above, the sun provides the Earth's surface with 168 W/m2 of absorbed energy power. Using the Stefan-Boltzmann equation for the relationship between the power density of the emitting surface and the temperature of the surface, one can calculate the highest temperature the Earth's surface can attain from such solar radiative warming, when ignoring non-radiative cooling mechanisms:

P = 168 W/m2 = σ T4 = (5.6697 x 10-8 W/m2K4) T4, 

solving which we find that T = 233.3 K, which is nearly 55K cooler than our actual 288K surface temperature.  

The fact that this maximum solar radiative surface heating temperature is so low informs us that the surface temperature is not entirely due to the absorbed radiation from the sun.  168 W/m2 cannot produce a surface with a temperature of 288K. There has to be another major contributor to that high temperature. Of course, the greenhouse gas hypothesis advocates say this is due to a large back radiation of energy from the atmosphere, which is not so because photons do not flow up the electric field gradient and because their mean free path lengths are too short.

Now if we had no infra-red active gases in our atmosphere, we would have no water vapor and hence no clouds.  So 77 W/m2 would not be reflected from the clouds back into space, as seen in Fig.1.  In addition, most of the 67 W/m2 of incident solar radiation absorbed by the atmosphere would not be absorbed if there were no water vapor and carbon dioxide in the atmosphere, so being conservative, let us estimate that about 35 W/m2 additional solar radiation would be absorbed by the Earth's surface due to having a much less absorbing atmosphere.  The total solar power absorbed by the Earth's surface is then about 280 W/m2 .   In this case, the maximum surface temperature can be calculated from: 

P = 280 W/m2 = σ T4 = (5.6697 x 10-8 W/m2K4) (T)4

and T = 265.1K, which is a 31.8K higher temperature than the maximum temperature of 233.3K with infra-red active gases absent another warming mechanism than the present solar insolation at the surface.  Thus, one concludes that the presence of the so-called greenhouse gases in our atmosphere causes the Earth's surface temperature to be almost 32K cooler than it otherwise would be.  Using such a radiation dominant model used, the Earth's surface temperature without greenhouse gases is only about 23K cooler than the Earth's radiative temperature as seen from space. Instead of searching for a means to warm the surface by 33K as in the quest of the IPCC, one only needs another warming mechanism to raise the surface temperature by 23K.  Removing the greenhouse gases has proved a 10K warming effect from this viewpoint.

This proposed greenhouse gas-free atmosphere and the above calculation ignore the air convection that results from non-infra-red active molecules striking the surface, but because radiated surface energy is not absorbed by the atmosphere in the infra-red active gas free hypothetical atmosphere, surface radiation is not quickly transformed into more convection transport of energy.  Also, there is no formation of water vapor, hence no evaporation of water.  Consequently, this calculation is much closer to reality than is the usual UN IPCC radiation-dominated calculation with greenhouse gases in the atmosphere.  So, it is by no means clear that there is any kind of greenhouse gas warming of the Earth.  One can make at least as good a case for a cooling effect if one has a radiation dominance mindset.

Interestingly enough, when the problems with the usual greenhouse gas viewpoint of man-made global warming featured in the IPCC reports and vaguely taught in the schools are pointed out, many of the scientists who hold that viewpoint will then begin arguing a second and very different theory of man-made global warming based on the effects of infra-red active gases.  It seems not to register on them that one cannot claim a scientific consensus if there is no general agreement on the actual mechanism upon which an infra-red active molecule can catastrophically warm the Earth.  They have turned to a second and incompatible mechanism, yet they do not stop making the claim that they have a scientific consensus.  Some of those who argue from the start for this second greenhouse gas theory are lukewarmers, who maintain that the warming effect is less than would be catastrophic, but still significant.

Let us recall that the atmosphere emits infra-red radiation into space at a temperature of about 242K and that this corresponds in the U.S. Standard Atmosphere tables to an altitude of a bit less than 7000 meters.The catastrophic man-made global warmers like to examine the case of a doubling of carbon dioxide in the atmosphere. Imaging such a doubling.  The added carbon dioxide would absorb somewhat more of the radiation now emitted by water vapor into space, though water vapor emission would still be the main source of radiation into space.  Water vapor absorbs and emits infra-red radiation over a greater range of wavelengths and its half-life in the excited state is much less than that for carbon dioxide.  This makes water vapor a more efficient transporter of energy.  Water vapor concentration is actually very low at altitudes of 7000 m and above because the temperature there is way below the freezing point of water at 273.15K or 0C. Despite this, water vapor radiation emission will be greater than that from a doubled carbon dioxide concentration.

The warming argument goes that radiation from lower altitude water vapor will be absorbed by carbon dioxide molecules and emitted by them into space at cooler temperatures since they are at higher altitudes.  The cooler temperature of emission will mean that less energy is radiated into space, which results in warming the entire atmosphere.  This ignores the fact that at these altitudes, some re-emission of absorbed radiation will occur without being distributed to non-radiating molecules since the gas molecule collision rate is now much lower than in the lower troposphere.  More of the absorbing molecules are not in equilibrium with the surrounding air molecules.  The argument makes a much greater mistake, as we will see.

Let us suppose for an estimate of the maximum carbon dioxide effect that all of the emission from altitudes near 7000 m and all of the emission from water vapor molecules is captured by higher altitude carbon dioxide molecules. In fact, it is not and would not be with a doubling of the concentration of carbon dioxide in the atmosphere, but we want to establish an upper limit on the effect claimed.  Let us suppose that instead of an emission temperature of about 242K, the carbon dioxide emission occurs at the lowest emission temperature from the tropopause beginning at about 11000 m in the U.S. Standard Atmosphere of 1976 or a higher altitude in the tropics.  The tropopause temperature is about 217K.  The stratosphere is above the tropopause and the temperature increases with altitude in the stratosphere.  Again we are maximizing the size of the supposed effect in favor of the warming claim.  Let us calculate the power of emission possible by twice as many carbon dioxide molecules at the temperature of 217K:


P = 2σ T4 = 2 (5.6697 x 10-8 W/m2K4)(217)4 = 251  W/m2 


It is clear that twice as many emitters at the lowest available temperature of 217K can emit more power than they can absorb despite the lower temperature.  In fact, these cooler carbon dioxide emitters are not going to emit more power than is transmitted to them by the predominantly warmer and lower altitude water vapor molecules, but they are not going to have any problem transmitting the 195 W/m2 into space that is presently transmitted.  Therefore, they will not cause the lower atmosphere to warm up.


One of the keys to understanding the basic physics of the lower atmosphere and its effects on the temperature at the Earth's surface where we live is that surface cooling mechanisms transporting energy in the lower troposphere are very much dominated not by rapid radiation, but by the slow mechanisms of water evaporation and condensation at altitude and by convection.  Any argument that minimizes this fact is in serious error. Another critical understanding is that the temperature gradient in the troposphere is mostly due to gravity, which causes molecules which are at lower altitudes to have a higher kinetic energy and a lower potential energy than do those at higher altitude.  The increased kinetic energy at lower altitude is directly proportional to temperature, with the proportionality constant being the inverse of the heat capacity of the air molecule.  The fact that most of the radiant energy into space is from the upper troposphere means that the surface temperature will of course be much higher due to the action of gravity on air molecules.  Yes, the radiant heating of the Earth's surface also matters, but in fact it raises the surface temperature less than does the effect of gravity acting on air molecules.

Let us make a ballpark estimate of the amount of power that the surface radiates into the atmosphere and which is absorbed by the atmosphere.  I will use values for the solar absorption, thermal or convection cooling, and water evaporation cooling from Fig. 1.  These values may not be highly accurate, but the idea here is get a sense of the scale of the greenhouse gas effect.  Recall from above that the atmosphere, due to water vapor and carbon dioxide mostly, radiates infra-red radiation into space from an altitude of about 7000 meters according to the temperatures provided in the US Standard Atmosphere.  A simple calculation I provided here estimates the temperature gradient in the dry atmosphere based on an approximation of atmospheric molecular mass, general rules for the heat capacity of an ideal gas molecule, the ideal gas law, and the variation of kinetic energy with altitude provided by the gravitational field.  This yields a static atmosphere temperature gradient of 5.93K/1000m.  This is not in perfect agreement with the US Standard Atmosphere temperature gradient of 6.49K/1000m, but I know the details of my calculation and do not know all the details of theirs.  Consequently, I will use my temperature gradient in this ballpark approximation, since I know it to only be based on the temperature gradient due to gravity.  The US Standard Atmosphere of 1976 was also primarily based on the effect of gravity, but may have some other minor adjustments that I do not know about.

Fig. 1. says the solar radiation absorbed by the surface is 168 W/m2 .  The surface loses radiant infra-red energy at the rate of 40 W/m2 through the atmospheric window straight into space.  This energy is at wavelengths not absorbed by the so-called greenhouse gases.  The surface loses energy at the rate of 78 W/m2 due to water evaporation and it loses it at a rate of 24 W/m2 due to thermals or convection. The effective altitude from which infra-red active gases radiate their energy into space is about 7000m in the US Standard Atmosphere, where the temperature is 242.7K in the US Standard Atmosphere.  With a temperature gradient of 5.93K/1000m due to gravity, the surface temperature is then 284.2K,  This is less than 4K less than the 288K surface temperature, greatly reducing the possible warming effect of greenhouse gases by virtue of absorbing radiative emissions from the Earth's surface.

Let us calculate the additional net power from solar heating required to increase the surface temperature from 284.2K to 288K.  This is

P  = σ [(288K)4  - (284.2K)4] = 20 W/m2 

But P is also equal to

P = [ 168 - 40 -78 - 24 - R] W/m2 =  20 W/m2 

where R is the infra-red radiation from the surface which is absorbed by the atmosphere and the power fluxes due to absorbed solar insolation, infra-red emitted through the atmospheric window, water evaporation, and rising thermals are taken from Fig. 1.  I am assuming for reasons discussed above that there is no significant back-radiation from the atmosphere. Solving this, we find that

R = 6 W/m2 .

Now this value of the atmospheric absorption of surface emitted infra-red radiation bears a much more reasonable relation to the 40 W/m2 transmitted through the atmosphere than does the 350 W/m2 atmospheric absorption shown in Fig. 1. We know this from many an infra-red sensor application.  Infra-red sensors, such as in military applications, would be much more limited if the atmospheric window were only barely more than 10% of the normal total Earth infra-red emission. Because the 6 W/m2 is based on several powers which are approximate, it is only a ballpark value. Continuing in this spirit, we can calculate an effective altitude for this surface radiation absorption. We will calculate the temperature of the atmospheric layer absorbing the infra-red emission from the surface that can be absorbed by the so-called greenhouse gases, chiefly water vapor:

P  = 6 W/m2  = σ [(288K)4  - (T)4]  

T = 286.9K, which according to the US Standard Atmosphere temperature gradient is an altitude of about 170 meters, or about 12 times less than the 2000m implied by the IPCC Fig.1! This will be a surprise to those who believe the IPCC story, but in fact we know that the mean free path for the absorption of infra-red by water vapor near the surface is commonly only a few meters.  The absorption of the wavelengths that carbon dioxide can absorb has a longer mean free path, but that is still only a few tens of meters and water vapor absorption dominates near the surface.

This calculation shows that radiation from the surface absorbed by infra-red active gases is actually in total a small effect and that small effect is dominated by water vapor.  The IPCC hypothesis that water vapor and carbon dioxide and a smattering of other greenhouse gases contribute a warming effect causing a surface warming of about 33K is absolutely a huge exaggeration.  Gravity causes the surface to be at about 284K or a bit higher and solar radiation only has to supply another total temperature increase of about 4K.  It is not clear that there is any warming caused by greenhouse gases at all.  At most, it is a small fraction of 4K! Given that most of whatever small fraction that is is caused by water vapor, any effect by carbon dioxide is minuscule.  What is more, the carbon dioxide absorption effects are already largely saturated.  It is clear that there is simply no need for a large back-radiation warming of the surface to explain the 288K surface temperature. Indeed, if there were a large back-radiation of 324 W/m2  , the surface temperature would be much, much hotter than it is.

It is hardly a wonder that the size of any warming effect by CO2 has not been measured.  In fact, adding carbon dioxide to the atmosphere, causes a very small increase in the heat capacity of the atmosphere and that causes the temperature gradient due to gravity to decrease very slightly, causing a cooling of the surface.  There is also a very small transport of energy to higher altitudes aided by rapid infra-red transport of energy from one layer of the atmosphere to the next which will increase very slightly.  Carbon dioxide also has a small effect in absorbing solar insolation in the upper atmosphere, thereby cooling the surface as more CO2 is added to the atmosphere.  The net very small effect of increased carbon dioxide in the atmosphere should therefore be an infinitesimal decrease in the surface temperature. What is certain is that carbon dioxide is not threatening a catastrophe and will never likely even have a measurable effect on temperatures.

It is my hope that this relatively short and simple description of aspects of the physics of the atmosphere will give the reader much to think about and open new avenues for the evaluation of the usual arguments made for catastrophic man-made warming.  Few of the scientists who might claim that this science is well-understood and agreed upon by most scientists actually understand the science.  There are many who cannot at all reasonably describe the science of the theory they claim is universally understood and agreed upon.  There are many vague and poorly examined versions of the above hypotheses for the cause of man-made warming.  To my knowledge, there is no theory that stands up to a critical examination of the physics and there is certainly none that is proven by evidence.

It is a terrible thing that many scientists have been so careless or so corrupted by government incentives and intimidation that there is no massive scientific rebellion against the catastrophic man-made global warming alarmism.  Their hypotheses are such flimsy houses of cards that they will fall apart in time. Opposition by many scientists has been growing, though most of that opposition is of the sort that the warming effects are less than catastrophic.  In the meantime, the damage has been horrible to the People in the form of less freedom and a lower standard of living due to an increased cost of energy and a loss of energy reliability.  They will also suffer from the waste of many tens of billions of their taxes on wasteful government spending in support of non-viable renewable energy projects and companies.

Those scientists who are fighting this scientific fraud are serving mankind and science. Those scientists who are perpetrating the fraud should be remembered for their infamy.  The reputation of science will suffer, but ultimately, science will prevail and the fraud will be known as such.  Many so-called scientists will be found to have failed in the practice of rational thinking and the use of the scientific method.  This will be a massive human failure, but not an actual failure of science.  After all, reality is what it is, whether fallible or corruptible humans are willing to acknowledge that reality or not.

Republicans now control the House, the Senate, the presidency, most governorships, and most state legislatures and they are not nearly as convinced about catastrophic man-made global warming as are the Democrats.  This will give the pretense of a scientific consensus about this climate alarmist theory more time to continue its collapse.  However, the Republicans will come under great fire for their reluctance to treat catastrophic man-made global warming as a real threat.  It is important that scientists who have feared to come forward and argue the truth should do so now.  We all know that politicians rarely have strong backbones.  Good scientists need to take some of the pressure off of them by putting forth good science and wrecking any appearance of a scientific consensus in favor of the catastrophic man-made global warming hypothesis.

Updated on 29 November 2016
Updated on 3 December 2016
Updated on 4 December 2016 with a calculations based on the gravity temperature gradient to estimate properties of the surface IR radiation absorption by the atmosphere
Updated on 12 December 2016
Updated on 13 December 2016
Updated on 15 December 2016