The diminishing influence of increasing Carbon Dioxide on temperature

Guest essay by Ed Hoskins

Using data published by the IPCC on the diminishing effect of increasing CO2 concentrations and the latest proportional information on global Man-made CO2 emissions, these notes examine the potential for further warming by CO2 emissions up to 1000ppmv and the probable consequences of decarbonisation policies being pursued by Western governments.

The temperature increasing capacity of atmospheric CO2 is real enough, but its influence is known and widely accepted to diminish as its concentration increases. It has a logarithmic in its relationship to concentration. Global Warming advocates and Climate Change sceptics both agree on this.

IPCC Published reports, (TAR3), acknowledge that the effective temperature increase caused by growing concentrations of CO2 in the atmosphere radically diminishes with increasing concentrations. This information has been presented in the IPCC reports. It is well disguised for any lay reader, (Chapter 6. Radiative Forcing of Climate Change: section 6.3.4 Total Well-Mixed Greenhouse Gas Forcing Estimate) [1]. It is a crucial fact, but not acknowledged in the IPCC summary for Policy Makers[2].

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The rapid logarithmic diminution effect is an inconvenient fact for Global Warming advocates and alarmists, nonetheless it is well understood within the climate science community. It is certainly not much discussed. This diminution effect is probably the reason there was no runaway greenhouse warming caused by CO2 in earlier eons when CO2 levels were known to be at levels of several thousands ppmv. The following simplifying diagram shows the logarithmic diminution effect using tranches of 100ppmv up to 1000ppmv and the significance of differing CO2 concentrations on the biosphere:

§ Up to ~200 ppmv, the equivalent to about ~77% of the temperature increasing effectiveness of CO2. This is essential to sustain photosynthesis in plants and thus the viability of all life on earth.

§ A further ~100 ppmv was the level prior to any industrialisation, this atmospheric CO2 made the survival of the biosphere possible, giving a further 5.9% of the CO2 Greenhouse effect.

§ Following that a further 100ppmv, (certainly man-made in part), adding ~4.1% of the CO2 effectiveness brings the current level ~400 ppmv.

§ CO2 at 400pmmv is already committed and immutable. So CO2 has already reached about ~87+% of its potential warming effect in the atmosphere.

Both sceptics and the IPCC publish alternate views of the reducing effect on temperature of the importance of CO2 concentration. These alternates are equivalent proportionally but vary in the degree of warming attributable to CO2.

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The IPCC have published views of the total effect of CO2 as a greenhouse gas up to ~1200ppmv, they range in temperature from +6.3°C to +14.5°C, shown below:

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There are other views presented both by sceptical scientists and CDIAC, the Carbon Dioxide Information and Analysis Centre. What these different analysis show the is the amount of future warming that might be attributed to additional atmospheric CO2 in excess of the current level of ~400ppmv. Looking to the future in excess of 400ppmv, wide variation exists between the different warming estimates up to 1000ppmv, see below.

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A comparison between these estimates are set out below in the context of the ~33°C total Greenhouse Effect.

This graphic shows in orange the remaining temperature effect of CO2 up to 1000ppmv that could be affected by worldwide global decarbonisation policies according to each of these alternative analyses.

Some of the IPCC data sets shows very large proportions of the temperature effect attributable solely to extra CO2. The concomitant effect of those higher levels of warming from atmospheric CO2 is that the proportion of the total ~33°C then attributable the water vapour and clouds in the atmosphere is displaced so as to be unrealistically low at 72% or 54%.

It has to be questioned whether it is plausible that CO2, a minor trace gas in the atmosphere, currently at the level of ~400ppmv, 0.04% up to 0.10% achieves such radical control of Global temperature, when compared to the substantial and powerful Greenhouse Effect of water vapour and clouds in the atmosphere?

There are the clearly divergent views of the amount of warming that can result from additional CO2 in future, but even in a worst case scenario whatever change that may happen can only ever have a marginal future effect on global temperature.

Whatever political efforts are made to de-carbonize economies or to reduce man-made CO2 emissions, (and to be effective at temperature control those efforts would have to be universal and worldwide), those efforts can only now affect at most ~13% of the future warming potential of CO2 up to the currently unthinkably high level of 1000ppmv.

So increasing CO2 in the atmosphere can not now inevitably lead directly to much more warming and certainly not to a catastrophic and dangerous temperature increase.

Importantly as the future temperature effect of increasing CO2 emissions can only be so minor, there is no possibility of ever attaining the much vaunted political target of less than +2.0°C by the control of CO2 emissions[3].

Global Warming advocates always assert that all increases in the concentration of CO2 are solely man-made. This is not necessarily so, as the biosphere and slightly warming oceans will also outgas CO2. In any event at ~3% of the total[4] Man-made CO2 at its maximum is only a minor part of the CO2 transport within the atmosphere. The recent IPCC report now admits that currently increasing CO2 levels are probably only ~50% man-made.

On the other hand it is likely that any current global warming, if continuing and increased CO2 is:

§ largely a natural process

§ within normal limits

§ probably beneficial up to about a further 2.0°C+ [5].

It could be not be influenced by any remedial decarbonisation action, however drastic, taken by a minority of nations.

In a rational, non-political world, that prospect should be greeted with unmitigated joy.

If it is so:

· concern over CO2 as a man-made pollutant can be mostly discounted.

· it is not essential to disrupt the economy of the Western world to no purpose.

· the cost to the European economy alone is considered to be ~ £165 billion per annum till the end of the century, not including the diversion of employment and industries to elsewhere: this is deliberate economic self-harm that can be avoided: these vast resources could be spent for much more worthwhile endeavours.

· were warming happening, unless excessive, it provides a more benign climate for the biosphere and mankind.

· any extra CO2 has already increased the fertility of all plant life on the planet.

· if warming is occurring at all, a warmer climate within natural variation would provide a future of greater opportunity and prosperity for human development, especially so for the third world.

De-carbonisation outcomes

To quantify what might be achieved by any political action for de-carbonization by Western economies, the comparative table below shows the remaining effectiveness of each 100ppmv tranche up to 1000ppmv, with the total global warming in each of the five diminution assessments.

The table below shows the likely range of warming arising from these divergent (sceptical and IPCC) views, (without feedbacks, which are questionably either negative or positive: but probably not massively positive as assumed by CAGW alarmists), that would be averted with an increase of CO2 for the full increase from 400 ppmv to 1000 ppmv.

The results above for countries and country groups show a range for whichever scenario of only a matter of a few thousandths to a few hundredths of a degree Centigrade.

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However it is extremely unlikely that the developing world is going to succumb to non-development of their economies on the grounds of reducing CO2 emissions. So it is very likely that the developing world’s CO2 emissions are going to escalate whatever is done by developed nations.

These figures show that whatever the developed world does in terms of decreasing CO2 emissions the outcome is likely to be either immaterial or more likely even beneficial. The table below assumes that the amount of CO2 released by each of the world’s nations or nation is reduced universally by some 20%: this is a radical reduction level but just about conceivable.

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These extreme, economically destructive and immensely costly efforts by participating western nations to reduce temperature by de-carbonization should be seen in context:

§ the changing global temperature patterns, the current standstill and likely impending cooling.

§ the rapidly growing CO2 emissions from the bulk of the world’s most populous nations as they continue their development.

§ the diminishing impact of any extra CO2 emissions on any temperature increase.

§ normal daily temperature variations at any a single location range from 10°C to 20°C.

§ normal annual variations value can be as much as 40°C to 50°C.

§ that participating Europe as a whole only accounts for ~11% of world CO2 emissions.

§ that the UK itself is now only about ~1.5% of world CO2 emissions.

As the margin of error for temperature measurements is about 1.0°C, the miniscule temperature effects shown above arise from the extreme economic efforts of those participating nations attempting to control their CO2 emissions. Thus the outcomes in terms of controlling temperature can only ever be marginal, immeasurable and thus irrelevant.

The committed Nations by their actions alone, whatever the costs they incurred to themselves, might only ever effect virtually undetectable reductions of World temperature. So it is clear that all the minor but extremely expensive attempts by the few convinced Western nations at the limitation of their own CO2 emissions will be inconsequential and futile[6].

Professor Judith Curry’s Congressional testimony 14/1/2014[7]:

“Motivated by the precautionary principle to avoid dangerous anthropogenic climate change, attempts to modify the climate through reducing CO2 emissions may turn out to be futile. The stagnation in greenhouse warming observed over the past 15+ years demonstrates that CO2 is not a control knob on climate variability on decadal time scales.”

Professor Richard Lindzen UK parliament committee testimony 28/1/2014 on IPCC AR5[8]:

“Whatever the UK decides to do will have no impact on your climate, but will have a profound impact on your economy. (You are) Trying to solve a problem that may not be a problem by taking actions that you know will hurt your economy.”

and paraphrased “doing nothing for fifty years is a much better option than any active political measures to control climate.”

As global temperatures have already been showing stagnation or cooling[9] over the last seventeen years or more, the world should fear the real and detrimental effects of global cooling[10] rather than being hysterical about limited, beneficial or now non-existent warming[11].


References:

[1] http://www.grida.no/publications/other/ipcc%5Ftar/?src=/climate/ipcc_tar/wg1/222.htm

[2] http://www.powerlineblog.com/archives/2014/05/why-global-warming-alarmism-isnt-science-2.php

[3] http://www.copenhagenconsensus.com/sites/default/files/ccctolpaper.pdf

[4] http://www.geocraft.com/WVFossils/greenhouse_data.html

[5] http://www.spectator.co.uk/features/9057151/carry-on-warming/

[6] http://hockeyschtick.blogspot.fr/2013/11/lomborg-spain-wastes-hundreds-of.html

[7] http://www.epw.senate.gov/public/index.cfm?FuseAction=Files.View&FileStore_id=07472bb4-3eeb-42da-a49d-964165860275

[8] http://judithcurry.com/2014/01/28/uk-parliamentary-hearing-on-the-ipcc/

[9] http://www.spectator.co.uk/melaniephillips/3436241/the-inescapable-apocalypse-has-been-seriously-underestimated.thtml

[10] http://www.iceagenow.com/Triple_Crown_of_global_cooling.htm

[11] http://notrickszone.com/2010/12/28/global-cooling-consensus-is-heating-up-cooling-over-the-next-1-to-3-decades/

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Neillusion
August 10, 2014 9:50 am

There is NO evidence that increasing CO2 in the atmosphere causes the temperature to rise. NONE. NADA. ZILCH.
That is the bottom line.

August 10, 2014 9:51 am

Donald L. Klipstein
Since some of the increase of surface radiation is absorbed by greenhouse gases in the lower troposphere and reradiated back towards the surface, increasing the surface temperature increases its radiation by more than 3.7 W/cm^2 in response to a forcing of 3.7W/cm^2.
>>>>>>>>>>>>>>>>>>>>>
The IPCC documentation assumes that this effect is subsumed into the 3.7 w/m2 in the first place. If you can point me to where they say otherwise, I’ll read it. AR4 on the other hand states specifically that radiative forcing cannot be directly equated with surface forcing, and then becomes rather vague as to what value surface forcing should be (but obviously less).

Latitude
August 10, 2014 9:52 am

davidmhoffer says:
August 10, 2014 at 9:31 am
====
thanks

August 10, 2014 10:00 am

Nice presentation. Should be submitted to the EPA as evidence against the upcoming Power plant tailoring rules.

Steve Oregon
August 10, 2014 10:02 am

Yes this is an excellent piece of work.
However, I can’t help but feel frustrated by the inadequacy of this flow.
“As the margin of error for temperature measurements is about 1.0°C
….at ~3% of the total[4] Man-made CO2 at its maximum is only a minor part of the CO2 transport within the atmosphere.
concern over CO2 as a man-made pollutant can be mostly discounted.”
All things considered (which underscores the impossibility that the relative infinitesimal fossil fuel CO2 emissions have impacted our climate)
the use of “mostly discounted” just fails miserably. IMO
Up against the deliberate, calculating and institutionalized campaign of misinformation “mostly discounted” is like referring to Ted Bundy as not such a swell blind date. Or something like that?
“Mostly” invites the alarmists to embellish out whatever ginned up remaining legitimacy they need to stay the course.

catweazle666
August 10, 2014 10:03 am

Interesting to compare that with this paper from Schneider during his Global cooling period.
Schneider S. & Rasool S., “Atmospheric Carbon Dioxide and Aerosols – Effects of Large Increases on Global Climate”, Science, vol.173, 9 July 1971, p.138-141
We report here on the first results of a calculation in which separate estimates were made of the effects on global temperature of large increases in the amount of CO2 and dust in the atmosphere. It is found that even an increase by a factor of 8 in the amount of CO2, which is highly unlikely in the next several thousand years, will produce an increase in the surface temperature of less than 2 deg. K.

Peter Miller
August 10, 2014 10:04 am

The EPA should be pointing this out to Obama and admitting that it needs to be downsized.
However, that is in a rational world, here in the real world where the ecoloons rule – at least they do in most of the western world. Elsewhere no one gives a rat’s unless they can see some way of using green crap to sucker some extra dough out of smug, but goofy, western countries.

August 10, 2014 10:11 am

RMB you are largely correct (co2 doesn’t warm the ocean), but your explanation is crap.
Infrared (atmospheric radiation) is absorbed by the top few microns of the surface, which does in fact heat the ocean.
But, and this is an extremely huge BUT, the ocean primarily cools through evaporation not radiation. All atmospheric radiation does is decrease the net amount of radiation loss from the ocean surface. When that happens, evaporation simply picks up the pace a tiny little bit, and the ocean surface temperature stays exactly the same.
I have measured this non effect hundreds of times.

RMB
Reply to  Genghis
August 13, 2014 8:47 am

Here’s what I know. If I fire my heat gun at uncovered water in a bucket the water does not accept the heat. If I float something like a metal baking dish on the surface and apply the heat to the floating object the water readily accepts the heat. Try doing it for yourself and if you get the same result tell me its not surface tension. The climate guys have never tested their own hypothesis

David Ramsay Steele
August 10, 2014 10:20 am

An excellent and convincing essay. As an editor by profession, I have frequently had to restrain myself at this site on a certain point. But now I find I can’t contain myself any longer. Sorry. There are two u’s in “minuscule”.

Retired Engineer John
August 10, 2014 10:24 am

The Earth climate system appears to be a closed loop system and the influence of carbon dioxide is limited to the extent that it changes the control input.

peter
August 10, 2014 10:24 am

I have often wondered what percentage of the public who accept the AGW theory because Scientists said it is true, are aware that CO2 is a necessity.
I’m sure you’ve heard about the the petitions people like Penn and Teller passed around to get signatures to ban water, using the scientific name for it, and listing all the harm it causes as the reason the ban was needed.
I wonder what percentage of people would answer Zero in a poll asking what percentage of CO2 is acceptable in the air our children breath?

Greg Goodman
August 10, 2014 10:29 am

Kelvin Vaughan says:
August 10, 2014 at 10:04 am
http://www.telegraph.co.uk/news/politics/10949976/Smart-metersto-be-put-in-every-British-home-despite-fears-they-may-not-work.html
===
Crap. Last time I looked the UK national debt was about 180 bn GBP , more than half of which was due to the cost of bailing out the banks.
And they want to spend 11bn they don’t have on this kind of stupidity which will have NO possible effect on climate, even if you are dumb enought to believe the IPCC.

Greg Goodman
August 10, 2014 10:34 am

The second graph in this article shows it is not the logarithm that matters but the arbitrary multiplier that IPCC modellers apply to the actual calculated effect of CO2.
The so-called positive feedbacks that reduce the known and over-riding negative feedbacks that have kept climate relatively stable for billions of years, through thick and thin.
The +ve feedbacks are guesswork. Guesses that they got wrong as can be seen by their total failure to predict the post 2000 plateau in global temps.

Greg Goodman
August 10, 2014 10:36 am

Peter: “I wonder what percentage of people would answer Zero in a poll asking what percentage of CO2 is acceptable in the air our children breath? ”
Out or in ? I’d like to see the poll results.

August 10, 2014 10:39 am

Kind of highlights the fundamental dishonesty of Government funded Climatology.

Greg Goodman
August 10, 2014 10:39 am

Anthony, can we loose the “like” buttons , or do I have to add WUWT to my spam filters.

August 10, 2014 10:41 am

Steven Mosher says:
August 10, 2014 at 8:08 am
Your Team works outside science, with totally bogus, GIGO models designed to show what their programmers want shown, ie they commit the logical fallacy of begging the question. Skeptics from the outset have objected to the unwarranted, indeed shown false, assumptions of modelers about feedback effects and clouds. This post is within that tradition. Without positive water vapor feedbacks, there can be no catastrophic man-made global warming. Since there is no evidence of such feedbacks, indeed quite the opposite in a homeostatic world, your whole scam unravels like a cheap suit.
If you think the sun or modulations of its activity doesn’t influence climate, please back up this assertion using the scientific method.

richard verney
August 10, 2014 10:46 am

Raymond says:
August 10, 2014 at 9:29 am
////////////////////
I do not know whether his comment is correct, but if it is correct, may be it is because the K&T energy budget cartoon does not do night. See for example: http://wattsupwiththat.files.wordpress.com/2009/11/trenberth-color-best.jpg
If that was the budget for planet Earth, there would be little in the way of weather since weather is generated by the fact that everything is not some hommogenous average, but rather because there are differences in energy/heat flux/pressure etc.both vertically and horizontally.

DavidR
August 10, 2014 10:50 am

Re: “The rapid logarithmic diminution effect…”
The logarithmic response means that we need to add twice as much CO2 again to create the same amount of warming we created with the initial increase. The diminution effect may not be so rapid as the author suggests, depending on climate sensitivity and on whether intergenerational time-scales are considered.
If CO2 climate sensitivity is as low as 1.5 deg C, then increasing CO2 from pre-industrial (280ppm) to present (~397ppm), should result in an equilibrium change of 0.75 deg C. In that case, to stay under the generally accepted danger threshold of 2.0 deg C above pre-industrial temperatures, CO2 concentrations would need to peak below 700ppm. At current rates of increase, this would occur around the middle of the next century, in about 140 or so years. If we call a social generation 30 years, then this is just over 4 generations away (probably more than that before the equilibrium temperature is reached).
However, if climate sensitivity is 3.0 deg C, then the equilibrium change caused by 397ppm would be about 1.5 deg C (which we’d currently be in transit towards). In order to stay below the 2.0 deg C threshold, concentrations would need to stay below about 440ppm; a level we’d reach within the next 20 years at current rates.
Remember, these calculations take the logarithmic diminution of CO2 concentrations versus warming effect fully into account.

Gil Dewart
August 10, 2014 10:56 am

The absorption spectrum for CO2 makes this clear. As temperatures move up into the “atmospheric window” increased absortion of radiation decreases dramatically.

Harold
August 10, 2014 11:01 am

Meh. DP’s right. The argument isn’t over IR physics, it’s over feedback.

richard verney
August 10, 2014 11:09 am

Genghis says:
August 10, 2014 at 10:11 am
RMB you are largely correct (co2 doesn’t warm the ocean), but your explanation is crap.
Infrared (atmospheric radiation) is absorbed by the top few microns of the surface, which does in fact heat the ocean.
///////////////////////
Because of the omnidirectional basis of DWLWIR, about 80% of all DWLWIR is absorbed within just 3 microns!
Does the energy absorbed in those 3 microns heat the ocean? For it to do so, it needs to be dissipated (and hence diluted) to depth at a rate faster than the energy absorbed in the top 3 microns would power/drive evaporation from the surface layer of the ocean.
The question then is how is the enormous amount of energy that is absorbed within the top 3 microns disipated to depth at a fast enough rate. Ocean overtunring is a slow mechanical process, and is largely dirurnal. So that does not look promising.
It cannot be by conduction since the energy flux is upwards (not downwards); at the very top of the ocean. the top millimetre is cooler than the ocean layers below. So unless we are mistaken as to energy fluxes and the ability of energy to ‘swim’ against the direction of flux, it cannot be by conduction.
There may be some mixing by wind and swell. Swell is a slow mechanical process, and so too is the wind when blowing at say BF3 or less. And if it is very windy (say BF8 and above), the top of the ocean becomes a divorced layer, and is not in contact with the bulk ocean below and any energy absorbed in the top 3 microns would most probably just be swept upwards into the atmosphere thereby help powering the storm raging above.
There are fundamental problems as to how DWLWIR heats the oceans given the absorption characteristics of LWIR in water, and the fact that the ocean is free to evaporate (unlike say rocks etc.).
I have never seen a convincing explanation detailing how DWLWIR heats the oceans. One needs to see an energy budget for the top 3 microns, the top 5, 10, 50, 100 microns perhaps going down to the first few metres and an explanation as to what processes are said to be going on in each of these bands, and the rate of energy transfer.
Solar does not present the same problems. According to K&T, solar is approximately 1/2 the power of DWLWIR, but wheras 80% of DWLWIR is absorbed within just 3 microns, fortunately for us, only about 1 % of solar is so absorbed.
Solar is for the main part absorbed within 1 metre (some solar finds its way past 10 metres), and this means that the energy from solar is disipated and diluted over a very substantial volume, about a million times larger than for DWLWIR. This means that solar warms the oceans without boiling it off, from the top down. But DWLWIR provides a major problem if it is truly sensible energy capable of performing sensible work since there is so much energy being fully absorbed within just 3 microns of ocean depth.

RMB
Reply to  richard verney
August 11, 2014 8:52 am

If my explanation is crap as you put it I need an explanation as to why I cannot get heat into uncovered water but if I float a metal object on the surface killing the surface tension underneath and apply the heat source to the floatin object the water heats as one would expect, explain that without surface tension. This reply is for Richard Verney.

August 10, 2014 11:12 am

Donald L. Klipstein says:
August 10, 2014 at 9:42 am
>>>>>>>>>>>>>>>>
Here is the money slide from AR4, figure 2.23
https://www.ipcc.ch/publications_and_data/ar4/wg1/en/ch2s2-9-5.html
Note that the bottom half of the slide shows RF (radiative forcing) from LLGHG’s at just over 2 w/m2, but that the same model when run to show SF (surface forcing) in the upper panel generates just over 0.2 w/m2. A tacit admission by the IPCC that their calculations are for the upper troposphere, and what happens on the surface (where we live) is not just a smaller number, but a number so small as to be unremarkable.