Climatology – CO2 and the Energy Budget

CO2 and the Energy Budget

Talking about the weather has always been a popular pastime.

Reading about climate has been cyclically growing in popularity for the last 140 years.

Climate Publications 1850 - 1992

The Role of the Sun in Climate Change – Oxford University Press – 1997
Douglas V. Hoyt and Kenneth H. Schatten

Therefore, it is unsurprising that the influence of carbon dioxide upon the Earth’s climate was discussed as far back as the 1920s.

We have already seen that the amount of carbon dioxide gas in the atmosphere has a decided climatic importance.

Moreover, there can be little doubt that the amount of that gas in the atmosphere varies from age to age in response to the extent to which it is set free by volcanoes, consumed by plants, combined with rocks in the process of weathering, dissolved in the ocean or locked up in the form of coal and limestone.

The main question is whether such variations can produce changes so rapid as glacial epochs and historical pulsations.

Climatic Changes: Their Nature and Causes – Yale University Press – 1922
Ellsworth Huntington and Stephen Sargent Visher
http://www.gutenberg.org/ebooks/37855

Thankfully, there were good scientists around in the 1920s to address the question of carbon dioxide and the Earth’s climate.

William Jackson Humphreys (February 3, 1862 – November 10, 1949) was an American physicist and atmospheric researcher.

He worked in the fields of spectroscopy, atmospheric physics and meteorology.

In the field of spectroscopy he found the shift of spectral lines under pressure.

In atmospheric physics he found a very good model for the stratosphere in 1909.

He wrote numerous books, including a textbook titled Physics of the Air, first published in 1920 and considered a standard work of the time, though it was last published in 1940.

He also held some teaching positions at universities.

http://en.wikipedia.org/wiki/William_Jackson_Humphreys

William Jackson Humphreys emphasised the predominant role of water vapour and stated that a doubling [or halving] of CO2 “could not appreciably change the average temperature of the earth”.

Page 565
Hence, finally, doubling or halving the amount of carbon dioxide now in the atmosphere, since this would make but little difference in the pressure, would not appreciably affect the total amount of radiation actually absorbed by it, whether of terrestrial or of solar origin, though it would affect the vertical distribution or location of the absorption.

Again, as explained by Abbot and Fowle, the water vapor always present in the atmosphere, because of its high coefficients of absorption in substantially the same regions where carbon dioxide is effective, leaves but little radiation for the latter to take up.

Hence, for this reason, as well as for the one given above, either doubling or halving the present amount of carbon dioxide could alter but little the total amount of radiation actually absorbed by the atmosphere, and, therefore, seemingly, could not appreciably change the average temperature of the earth, or be at all effective in the production of marked climatic changes.

Page 566
Suffice it to anticipate, here, the general conclusion that while variations in the amounts of carbon dioxide in the atmosphere may have somewhat modified our climates, it, probably, never was the controlling, or even an important, factor in the production of any one of the great climatic changes of the past, nor can be, of any great climatic change the future possibly may bring.

Physics Of The Air – 1929 – McGraw-Hill Book Company
W J Humphreys
https://archive.org/details/physicsoftheairs032485mbp

Humphreys quantifies “not appreciably” to mean plus [or minus] 1.3 C.

Page 602
Assuming that the present amount of carbon dioxide in the stratosphere absorbs 1 per cent of the solar radiation and 10 per cent of the outgoing earth radiation (values that seem to be, roughly, of the correct order), and using equation (A (page 569)), it will be seen, if the experiments here referred to and the assumptions are substantially correct, that doubling or even multiplying by several fold the present amount of carbon dioxide, which would leave the absorption of solar radiation practically unchanged, and increase the absorption of terrestrial radiation at most to only 14 per cent, could increase the intensity of the radiation received at the surface of the earth about one-half of 1 per cent, and, therefore, the average temperature by no more than about 1.3 C.

Similarly, reducing the carbon dioxide by one-half could decrease the temperature by no more than approximately the same amount, 1.3 C.

Physics Of The Air – 1929 – McGraw-Hill Book Company
W J Humphreys
https://archive.org/details/physicsoftheairs032485mbp

In 1942 Walter M. Elsasser refined the science of heat transfer by infrared radiation in the lower atmosphere [although this fact is omitted from his biography in Wikipedia] and his statements were subsequently confirmed in 1995 [as documented later in this posting].

Firstly, he revealed the radiative role of ozone was “negligible” in the lower atmosphere.

Page 21
Ozone has also absorption bands in the infrared region, but its influence upon infrared radiative transfer in the lower atmosphere is negligible, while it may become of some importance in the stratosphere.

In the present monograph we deal mainly with heat transfer in the lower atmosphere and we may disregard ozone as a radiator.

Heat transfer by infrared radiation in the atmosphere – 1942 – Harvard University
Walter M. Elsasser
https://archive.org/details/ElsasserFull1942

Secondly, he revealed that the narrow absorption band of carbon dioxide did not contribute to the radiative balance in the lower atmosphere.

Page 21
It is found that the absorption of carbon dioxide is concentrated chiefly in one rather narrow region of the spectrum where it is very intense.

Page 22
It may be noted that since the flux in the carbon dioxide band is equal, at any level, to a definite fraction of the black body radiation corresponding to the temperature of that level both in upward and downward direction, the resultant flux of carbon dioxide radiation vanishes in the approximation of the chart.

This is a fair approximation to the truth in the lower atmosphere (for the upper atmosphere see Section 12).

Heat transfer by infrared radiation in the atmosphere – 1942 – Harvard University
Walter M. Elsasser
https://archive.org/details/ElsasserFull1942

Reflecting the cyclical nature of Earth’s climate the question of CO2 arose again in the 1970s.

Carbon Dioxide and Aerosols
The relative roles of changing carbon dioxide and particle loading as factors in climatic change have been assessed by Mitchell (1973a, 1973b), who noted that these variable atmospheric constituents are not necessarily external parameters of the climatic system but may also be internal variables; for example, the changing capacity of the surface layers of the oceans to absorb C02, the variable atmospheric loading of wind-blown dust, and the interaction of C02 with the biosphere.

The atmospheric C02 concentrations recorded at Mauna Loa, Hawaii (and other locations) show a steady increase in the annual average, amounting to about a 4 percent rise in total C02 between 1958 and 1972 (Keeling et ai, 1974).

The present-day C02 excess (relative to the year 1850) is estimated at 13 percent.

A comparison with estimates of the fossil C02 input to the atmosphere from human activities indicates that between 50 and 75 percent of the latter has stayed in the atmosphere, with the remainder entering the ocean and the biosphere.

The C02 excess is conservatively projected to increase to 15 percent by 1980, to 22 percent by 1990, and to 32 percent by 2000 a.d.

Again, the science of the day downplayed the importance of CO2 and estimated its impact to be “about 0.3 °C per 10 percent change of C02” and noted that CO2 appeared “capable of accounting for only a fraction of the observed warming of the earth between 1880 and 1940”.

The corresponding changes of mean atmospheric temperature due to C02 [as calculated by Manabe (1971) on the assumption of constant relative humidity and fixed cloudiness] are about 0.3 °C per 10 percent change of C02 and appear capable of accounting for only a fraction of the observed warming of the earth between 1880 and 1940.

They could, however, conceivably aggregate to a further warming of about 0.5 °C between now and the end of the century.

The total global atmospheric loading by small particles (those less than 5 um in diameter) is less well monitored than is C02 content but is estimated to be at present about 4xl0 7 tons, of which perhaps as much as 1 x 10 7 tons is derived both directly and indirectly from human activities.

If the anthropogenic fraction should grow in the future at the not unrealistic rate of 4 percent per year, the total particulate loading of the atmosphere could increase about 60 percent above its present-day level by the end of this century.

The present-day anthropogenic particulate loading is estimated to exceed the average stratospheric loading by volcanic dust during the past 120 years but to equal only perhaps one fifth of the stratospheric loading that followed the 1883 eruption of Krakatoa.

The impact of such particle loading on the mean atmospheric temperature cannot be reliably determined from present information.

Recent studies indicate that the role of atmospheric aerosols in the heat budget depends critically on the aerosols’ absorptivity, as well as on their scattering properties and vertical distribution.

The net thermal impact of aerosols on the lower atmosphere (below cloud level) probably depends on the evaporable water content of the surface in addition to the surface albedo.

Aerosols may also affect the structure and distribution of clouds and thereby produce effects that are more important than their direct radiative interaction (Hobbs et al., 1914; Mitchell, 1974).

Understanding Climate Change – 1975 – National Academy of Sciences
https://archive.org/details/understandingcli00unit

Given the worries about a cooling climate [at that time] the National Academy of Sciences concluded that “the widely differing atmospheric residence times of the two pollutants means that the particulate effect will grow in importance relative to that of C02”.

Of the two forms of pollution, the carbon dioxide increase is probably the more influential at the present time in changing temperatures near the earth’s surface (Mitchell, 1973a).

If both the C02 and particulate inputs to the atmosphere grow at equal rates in the future, the widely differing atmospheric residence times of the two pollutants means that the particulate effect will grow in importance relative to that of C02.

Understanding Climate Change – 1975 – National Academy of Sciences
https://archive.org/details/understandingcli00unit

The National Academy of Sciences also included a diagram of the Earth’s energy budget that clearly labelled the secondary role played by CO2 in the atmosphere.

1975 Energy Budget

The mean annual radiation and heat balance of the atmosphere, relative to 100 units of incoming solar radiation, based on satellite measurements and conventional observations.

Understanding Climate Change – 1975 – National Academy of Sciences
https://archive.org/details/understandingcli00unit

Then, unsurprisingly, the Earth’s energy budget remained constant for the next thirty odd years.

1993 Energy Budget
Atlas of Satellite Observations Related to Global Change – 1993
Cambridge University Press
Edited by Robert J. Gurney, James L. Foster, and Claire L. Parkinson

However, in the new century, the scaremongering post-normal scientists [who believe in Catastrophic Anthropogenic Global Warming] simply ignored the scientific method and invented the bogus concept of back radiation which they incorporated into their energy budgets.

2009 Energy Budget

Global climate, the energy balance and the hydrologic cycle
http://www.colorado.edu/geography/class_homepages/geog_3511_s13/notes/Notes_2.pdf

Sadly, this bogus post-normal back radiation science is still mainstream in 2013.

2013 Energy Budget

http://en.wikipedia.org/wiki/Earth%27s_energy_budget

However, some really good science can still be found on the internet.

Water, Cabon Dioxide and Ozone contribute to longwave cooling in the Stratosphere

Stratospheric cooling rates:

The picture shows how water, cabon dioxide and ozone contribute to longwave cooling in the stratosphere.

Colours from blue through red, yellow and to green show increasing cooling, grey areas show warming of the stratosphere.

The tropopause is shown as dotted line (the troposphere below and the stratosphere above).

For CO2 it is obvious that there is no cooling in the troposphere, but a strong cooling effect in the stratosphere.

Ozone, on the other hand, cools the upper stratosphere but warms the lower stratosphere.

http://www.atmosphere.mpg.de/enid/20c.html

Thankfully, there are some excellent bloggers reporting upon the really good science.

The overall message of this graph is just that in the troposphere, water is everything and CO2 is nothing.

We can also add to this graph that convection and evaporation / condensation are major processes in the troposphere and this radiative model isn’t really all that important for surface cooling at all.

In the stratosphere we see some cooling from water vapor, so, little as there is up there, it still does something.

However, THE largest blobs of cooling color come from CO2 and ozone.

Adding CO2 to the atmosphere causes more radiative heat loss from just those parts of the atmosphere that do radiative heat loss, and does nearly nothing in that part of the atmosphere dominated by convection and evaporation / precipitation.

Warming of the surface of the earth increases convection, evaporation, and water transport, and deposits that water and heat higher in the sky; so will dump more heat into the stratosphere (and perhaps more water vapor too … enhancing that water radiative part).

In short, the system is dynamic and has a convection driven lower layer, with a radiative driven upper layer.

More CO2 means more radiative heat loss, not less.

THAT is why the stratosphere has been cooling (though the upper atmosphere has dropped more on the loss of UV in the solar funk.)

Tropopause Rules

In short: The very existence of a troposphere makes the whole CO2 driven radiative IR model daft.

All that tropospheric CO2 can only close an already closed radiative window in the troposphere and contribute to the convection that is already dominant.

BTW, in deep winter with a strong polar vortex, the tropopause can reach ground level near the poles (especially the South Pole).

In that context, then, it can enhance the radiative heat dump to space.

But warming? In any mid-latitudes especially? Not a chance.

Ignore the gasses and IR / radiative story telling.

Look at the convection, mass flow, tides and ocean cold water mixing, along with solar UV shifts and how the atmosphere moves around if you would hope to know what really happens.

Arguing over CO2 and “down welling” IR is just arguing about how many Angels fit on pinheads.

“Warmers” think in a static scored air model.

It sits still, in constant height layers, and only radiation moves thermal energy in, and out, of the air.

In the real world, it’s a highly dynamic scored air mass, both vertical and horizontal.

Water moving by the kiloton and falling as snow and rain.

You can’t get a correct dynamic answer from a static model.

Static vs Dynamic scored air

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6 Responses to Climatology – CO2 and the Energy Budget

  1. Pingback: Celebrating Changing Climate Science | MalagaBay

  2. A C Osborn says:

    Tim, I am a bit concerned by the “The corresponding changes of mean atmospheric temperature due to C02 are about 0.3 °C per 10 percent change of C02” as downplaying it’s effect, does that mean 0.3 °C with a change from 360 to 400. So at our current rate of increase (2000-2010) that equates to 0.3/decade or 3.0/Century.
    Which is pretty much in line with early IPCC estimates.

  3. malagabay says:

    W J Humphreys concluded that a doubling of CO2 may [at a maximum] translates into 1.3 C of warming.

    … doubling or even multiplying by several fold the present amount of carbon dioxide, which would leave the absorption of solar radiation practically unchanged, and increase the absorption of terrestrial radiation at most to only 14 per cent, could increase the intensity of the radiation received at the surface of the earth about one-half of 1 per cent, and, therefore, the average temperature by no more than about 1.3 C.

    Physics Of The Air – 1929 – McGraw-Hill Book Company
    W J Humphreys

    That doesnt seem very far away from the 1970s when a doubling of CO2 [10 x 0.3] equates to 3.0 C of warming.

    The corresponding changes of mean atmospheric temperature due to C02 [as calculated by Manabe (1971) on the assumption of constant relative humidity and fixed cloudiness] are about 0.3 °C per 10 percent change of C02 and appear capable of accounting for only a fraction of the observed warming of the earth between 1880 and 1940.

    Understanding Climate Change – 1975 – National Academy of Sciences
    https://archive.org/details/understandingcli00unit

    However, the really important point is that CO2 appears to account for “only a fraction of the observed warming”.

    In other words:

    1. The warming between 1880 and 1940 was predominantly natural..

    2. The scientists have a handle on physics in the laboratory but really have very little idea what is actually happening [holistically] in the “real world” global weather / climate system.

    3. Our current level of mainstream knowledge enables humans to predict the weather [with some degree of accuracy] for about three days ahead. That’s it. End of Story.

    Take a look at the IPCC climate projections… all saying we were going to fry… and all wrong.

    Basically, you can forecast that temperatures will rise, fall or stay the same… that’s a 1 in 3 chance of being right… and the IPCC [et al] failed in their attempt to scare the general population.

    Even if a “model” provided a good 30 year weather projection the probability is that it is just a chance result and the model was “right” for all the wrong reasons… and there is no guarantee that the model would be of any use at predicting the next 30 years worth of weather.

    Believing in climate models is like believing in the tooth fairy… except the tooth fairy doesn’t come with a multitude of taxes and draconian controls.

    Additionally, the Earth’s CO2 level is getting dangerously low for the biosphere.

    Extra CO2 is good for plant growth and [therefore] very good for human agriculture.

    Plus, I am yet to be convinced that an extra 3.0 C of warming is actually a really bad thing.

    Warming isn’t that big a threat… cooling is far more dangerous.

    So don’t worry.

    The climate will change… it always has… and there is nothing we can do about it unless some psychopath decides to press the “red button” and trigger a nuclear winter… in which case radiation will be something to really worry about [if you are still alive].

    Humans have to adapt with natural climate change… like we always have.

    Climate change isn’t optional… its can be relied upon – just like death and taxes.

    Personally, I’m not worried [for the world] about 3C of warming.

    But 3C of cooling would be serious.

    Fundamentally, CAGW is just ALARMISM [aka physiological warfare].

    It’s just another post-normal scare story… it sells newspapers… it gets funding… and it gives power to the politicians.

    Global warming and global cooling and weather extremes will happen regardless of what we do.

    However, at the moment, we are meant to have some influence over taxes, controls and our politicians.

  4. mkelly says:

    Another source you may be interested in. Dr. Elsasser was a physicist at Princeton and the paper is on “Heat Transfer by Infrared Radiation in the Atmosphere”. Page 23 says it all.

    https://malagabay.files.wordpress.com/2014/01/heat-transfer-by-infrared-radiation-in-the-atmosphere-walter-m-elsasser-e28093-page-23.gif?w=640

  5. malagabay says:

    Thank you.
    The posting has been updated to include the wonderful work of Walter M. Elsasser.

  6. craigm350 says:

    Reblogged this on CraigM350 and commented:
    doubling or even multiplying by several fold the present amount of carbon dioxide, which would leave the absorption of solar radiation practically unchanged, and increase the absorption of terrestrial radiation at most to only 14 per cent, could increase the intensity of the radiation received at the surface of the earth about one-half of 1 per cent, and, therefore, the average temperature by no more than about 1.3 C. [1929]

    Writing in 1997, Hubert Lamb wrote:

    In 1896 the Swedish scientist, Sv. Arrhenius, professor of physics first at Uppsala and later in Stockholm, published his suggestion that increasing the carbon dioxide in the atmosphere, as was already happening relentlessly, should be expected to warm world climates because of its absorption—i.e capture—of long-wave radiation that continually goes out from the Earth and so create a sort of ‘greenhouse effect’. And in 1938 in England G S Callendar seemed to show in a paper in the Royal Meteorological Society’s journal that the observed warming of surface temperatures over the Earth by about half a degree Celsius from around 1890 to the 1930s should be about right to be attributable to the radiation trapped in the atmosphere in this way. But there are some difficult points. Water vapour, which is abundant in the atmosphere except over the coldest regions of the Earth and in the stratosphere, also absorbs radiation and on almost al the same wave-lengths that the carbon dioxide absorbs.

    Difficulties, too, beset attempts to show how variations in the amounts of carbon dioxide in the atmosphere in the past fit the theory that warm periods in world climate can be attributed to a greater CO2 content and cold periods to a lower CO2 amount. The CO2 content at various past times is presumably indicated by the gas trapped in bubbles in ice-sheets and glaciers. This does show less CO2 in glacial times, and during warmer interglacial periods the CO2 amount were greater. But, since carbon dioxide is more soluble in water—in the oceans for example—when temperatures are lower, the smaller amounts of CO2 in the bubbles in the ice sheets in ice age times could be just a result of the colder climates then prevailing. And, even within our own times, the suggestion that the increasing carbon dioxide in the atmosphere should be presumed to be the cause of the warming does not fit at all well with the sequence of observed values.

    The great period of warming, at least in the northern hemisphere, was during the first 40 years of the 20th century (especially the first and fourth decades), but in the 1950s and 1960s when the CO2 was increasing more rapidly than ever before the prevailing temperatures were falling. Callendar himself was worried by this discrepancy and contacted both me and Professor Gordon Manley about it. There seem, in fact, to have been a number of shorter runs of sometimes up to 50 years with either rising or falling temperatures often setting in suddenly, and with no clear correspondence to changes in the atmospheric CO2 content. We also see that account must be taken of psychological reactions—even in the influential research community—to the variations towards greater or less warmth as and when they occur.

    In the 1880s and 1890s, as a recent American meteorological investigator was the first to be able to show, world temperatures were lower than they had been since around 1850. That was just when Arrhenius came out with his suggestion that the man-made increase of carbon dioxide should be warming the Earth. And at that time the suggestion made little impact. When Callendar promoted the same idea 40 years later, however, it was in a warmer world, though very soon the bitter war winters came and implanted themselves in folk’s memories. And when G N Plass again put forward the CO2warming theory in papers published in 1954 and 1956, world climate was once more entering a colder phase, particularly in the northern hemisphere. Interest in the theory soon waned. It only revived after a run of up to 8 mild winters in a row affected much of Europe and parts of North America in the 1970s and 1980s. There then came a tremendous preponderance of publications on global warming, dominating the research literature, although over-all temperature averages in some regions, particularly in the Arctic, were still moving downward.

    Now where would the profit and fear mongering be in that?

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