Unified Theory of Climate

Note: This was a poster, and adopted into a blog post by the author, Ned Nikolov, specifically for WUWT. My thanks to him for the extra effort in converting the poster to a more blog friendly format. – Anthony

Expanding the Concept of Atmospheric Greenhouse Effect Using Thermodynamic Principles: Implications for Predicting Future Climate Change

Ned Nikolov, Ph.D. & Karl Zeller, Ph.D.

USFS Rocky Mountain Research Station, Fort Collins CO, USA

Emails: ntconsulting@comcast.net kzeller@colostate.edu

Poster presented at the Open Science Conference of the World Climate Research Program,

24 October 2011, Denver CO, USA

http://www.wcrp-climate.org/conference2011/posters/C7/C7_Nikolov_M15A.pdf

Abstract

We present results from a new critical review of the atmospheric Greenhouse (GH) concept. Three main problems are identified with the current GH theory. It is demonstrated that thermodynamic principles based on the Gas Law need be invoked to fully explain the Natural Greenhouse Effect. We show via a novel analysis of planetary climates in the solar system that the physical nature of the so-called GH effect is a Pressure-induced Thermal Enhancement (PTE), which is independent of the atmospheric chemical composition. This finding leads to a new and very different paradigm of climate controls. Results from our research are combined with those from other studies to propose a new Unified Theory of Climate, which explains a number of phenomena that the current theory fails to explain. Implications of the new paradigm for predicting future climate trends are briefly discussed.

1. Introduction

Recent studies revealed that Global Climate Models (GCMs) have significantly overestimated the Planet’s warming since 1979 failing to predict the observed halt of global temperature rise over the past 13 years. (e.g. McKitrick et al. 2010). No consensus currently exists as to why the warming trend ceased in 1998 despite a continued increase in atmospheric CO2 concentration. Moreover, the CO2-temperature relationship shows large inconsistencies across time scales. In addition, GCM projections heavily depend on positive feedbacks, while satellite observations indicate that the climate system is likely governed by strong negative feedbacks (Lindzen & Choi 2009; Spencer & Braswell 2010). At the same time, there is a mounting political pressure for Cap-and-Trade legislation and a global carbon tax, while scientists and entrepreneurs propose geo-engineering solutions to cool the Planet that involve large-scale physical manipulation of the upper atmosphere. This unsettling situation calls for a thorough reexamination of the present climate-change paradigm; hence the reason for this study.

2.  The Greenhouse Effect: Reexamining the Basics

image

Figure 1. The Atmospheric Greenhouse Effect as taught at universities around the World (diagram from the website of the Penn State University Department of Meteorology).

According to the current theory, the Greenhouse Effect (GHE) is a radiative phenomenon caused by heat-trapping gases in the atmosphere such as CO2 and water vapor that are assumed to reduce the rate of surface infrared cooling to Space by absorbing the outgoing long-wave (LW) emission and re-radiating part of it back, thus increasing the total energy flux toward the surface. This is thought to boost the Earth’s temperature by 18K – 33K compared to a gray body with no absorbent atmosphere such as the Moon; hence making our Planet habitable. Figure 1 illustrates this concept using a simple two-layer system known as the Idealized Greenhouse Model (IGM). In this popular example, S is the top-of-the atmosphere (TOA) solar irradiance (W m-2), A is the Earth shortwave albedo, Ts is the surface temperature (K), Te is the Earth’s effective emission temperature (K) often equated with the mean temperature of middle troposphere, ϵ is emissivity, and σ is the Stefan-Boltzmann (S-B) constant.

2.1. Main Issues with the Current GHE Concept:

A) Magnitude of the Natural Greenhouse Effect. GHE is often quantified as a difference between the actual mean global surface temperature (Ts = 287.6K) and the planet’s average gray-body (no-atmosphere) temperature (Tgb), i.e. GHE = Ts Tgb. In the current theory, Tgb is equated with the effective emission temperature (Te) calculated straight from the S-B Law using Eq. (1):

image

where αp is the planetary albedo of Earth (≈0.3). However, this is conceptually incorrect! Due to Hölder’s inequality between non-linear integrals (Kuptsov 2001), Te is not physically compatible with a measurable true mean temperature of an airless planet. To be correct, Tgb must be computed via proper spherical integration of the planetary temperature field. This means calculating the temperature at every point on the Earth sphere first by taking the 4th root from the S-B relationship and then averaging the resulting temperature field across the planet surface, i.e.

image

where αgb is the Earth’s albedo without atmosphere (≈0.125), μ is the cosine of incident solar angle at any point, and cs= 13.25e-5 is a small constant ensuring that Tgb = 2.72K (the temperature of deep Space) when So = 0. Equation (2) assumes a spatially constant albedo (αgb), which is a reasonable approximation when trying to estimate an average planetary temperature.

Since in accordance with Hölder’s inequality TgbTe (Tgb =154.3K ), GHE becomes much larger than presently estimated.

According to Eq. (2), our atmosphere boosts Earth’s surface temperature not by 18K—33K as currently assumed, but by 133K! This raises the question: Can a handful of trace gases which amount to less than 0.5% of atmospheric mass trap enough radiant heat to cause such a huge thermal enhancement at the surface? Thermodynamics tells us that this not possible.

B) Role of Convection. The conceptual model in Fig. 1 can be mathematically described by the following simultaneous Equations (3),

image

where νa is the atmospheric fraction of the total shortwave radiation absorption. Figure 2 depicts the solution to Eq. (3) for temperatures over a range of atmospheric emissivities (ϵ) assuming So = 1366 W m-2 and νa =0.326 (Trenberth et al. 2009). An increase in atmospheric emissivity does indeed cause a warming at the surface as stated by the current theory. However, Eq. (3) is physically incomplete, because it does not account for convection, which occurs simultaneously with radiative transfer. Adding a convective term to Eq. (3) (such as a sensible heat flux) yields the system:

image

where gbH is the aerodynamic conductance to turbulent heat exchange. Equation (4) dramatically alters the solution to Eq. (3) by collapsing the difference between Ts, Ta and Te and virtually erasing the GHE (Fig. 3). This is because convective cooling is many orders of magnitude more efficient that radiative cooling. These results do not change when using multi-layer models. In radiative transfer models, Ts increases with ϵ not as a result of heat trapping by greenhouse gases, but due to the lack of convective cooling, thus requiring a larger thermal gradient to export the necessary amount of heat. Modern GCMs do not solve simultaneously radiative transfer and convection. This decoupling of heat transports is the core reason for the projected surface warming by GCMs in response to rising atmospheric greenhouse-gas concentrations. Hence, the predicted CO2-driven global temperature change is a model artifact!

image

Figure 2. Solution to the two-layer model in Eq. (3) for Ts and Ta as a function of atmospheric emissivity assuming a non-convective atmosphere. Also shown is the predicted down-welling LW flux(Ld). Note that Ld ≤ 239 W m-2.

image

Figure 3. Solution to the two-layer model in Eq. (4) for Ts and Ta as a function of atmospheric emissivity assuming a convective atmosphere (gbH = 0.075 m/s). Also shown is the predicted down-welling LW flux (Ld). Note that Ld ≤ 239 W m-2.

image

Figure 4. According to observations, the Earth-Atmosphere System absorbs on average a net solar flux of 239 W m-2, while the lower troposphere alone emits 343 W m-2 thermal radiation toward the surface.

C) Extra Kinetic Energy in the Troposphere.

Observations show that the lower troposphere emits 44% more radiation toward the surface than the total solar flux absorbed by the entire Earth-Atmosphere System (Pavlakis et al. 2003) (Fig. 4). Radiative transfer alone cannot explain this effect (e.g. Figs. 2 & 3) given the negligible heat storage capacity of air, no matter how detailed the model is. Thus, empirical evidence indicates that the lower atmosphere contains more kinetic energy than provided by the Sun. Understanding the origin of this extra energy is a key to the GHE.

3. The Atmospheric Thermal Enhancement

Previous studies have noted that the term Greenhouse Effect is a misnomer when applied to the atmosphere, since real greenhouses retain heat through an entirely different mechanism compared to the free atmosphere, i.e. by physically trapping air mass and restricting convective heat exchange. Hence, we propose a new term instead, Near-surface Atmospheric Thermal Enhancement (ATE) defined as a non-dimensional ratio (NTE) of the planet actual mean surface air temperature (Ts, K) to the average temperature of a Standard Planetary Gray Body (SPGB) with no atmosphere (Tgb, K) receiving the same solar irradiance, i.e. NTE = Ts /Tgb. This new definition emphasizes the essence of GHE, which is the temperature boost at the surface due to the presence of an atmosphere. We employ Eq. (2) to estimate Tgb assuming an albedo αgb = 0.12 and a surface emissivity ϵ = 0.955 for the SPGB based on data for Moon, Mercury, and the Earth surface. Using So = 1362 W m-2 (Kopp & Lean 2011) in Eq. (2) yields Tgb = 154.3K and NTE = 287.6/154.3 = 1.863 for Earth. This prompts the question: What mechanism enables our atmosphere to boost the planet surface temperature some 86% above that of a SPGB? To answer it we turn on to the classical Thermodynamics.

3.1. Climate Implications of the Ideal Gas Law

The average thermodynamic state of a planet’s atmosphere can be accurately described by the Ideal Gas Law (IGL):

PV = nRT (5)

where P is pressure (Pa), V is the gas volume (m3), n is the gas amount (mole), R = 8.314 J K-1 mol-1is the universal gas constant, and T is the gas temperature (K). Equation (5) has three features that are chiefly important to our discussion: a) the product P×V defines the internal kinetic energy of a gas (measured in Jules) that produces its temperature; b) the linear relationship in Eq. (5) guarantees that a mean global temperature can be accurately estimated from planetary averages of surface pressure and air volume (or density). This is in stark contrast to the non-linear relationship between temperature and radiant fluxes (Eq. 1) governed by Hölder’s inequality of integrals; c) on a planetary scale, pressure in the lower troposphere is effectively independent of other variables in Eq. (5) and is only a function of gravity (g), total atmospheric mass (Mat), and the planet surface area (As), i.e. Ps = g Mat/As. Hence, the near-surface atmospheric dynamics can safely be assumed to be governed (over non-geological time scales) by nearly isobaric processes on average, i.e. operating under constant pressure. This isobaric nature of tropospheric thermodynamics implies that the average atmospheric volume varies in a fixed proportion to changes in the mean surface air temperature following the Charles/Gay-Lussac Law, i.e. Ts/V = const. This can be written in terms of the average air density ρ (kg m-3) as

ρTs = const. = Ps M / R (6)

where Ps is the mean surface air pressure (Pa) and M is the molecular mass of air (kg mol-1). Eq. (6) reveals an important characteristic of the average thermodynamic process at the surface, namely that a variation of global pressure due to either increase or decrease of total atmospheric mass will alter both temperature and atmospheric density. What is presently unknown is the differential effect of a global pressure change on each variable. We offer a solution to this in & 3.3. Equations (5) and (6) imply that pressure directly controls the kinetic energy and temperature of the atmosphere. Under equal solar insolation, a higher surface pressure (due to a larger atmospheric mass) would produce a warmer troposphere, while a lower pressure would result in a cooler troposphere. At the limit, a zero pressure (due to the complete absence of an atmosphere) would yield the planet’s gray-body temperature.

The thermal effect of pressure is vividly demonstrated on a cosmic scale by the process of star formation, where gravity-induced rise of gas pressure boosts the temperature of an interstellar cloud to the threshold of nuclear fusion. At a planetary level, the effect is manifest in Chinook winds, where adiabatically heated downslope airflow raises the local temperature by 20C-30C in a matter of hours. This leads to a logical question: Could air pressure be responsible for the observed thermal enhancement at the Earth surface presently known as a ‘Natural Greenhouse Effect’? To answer this we must analyze the relationship between NTEfactor and key atmospheric variables including pressure over a wide range of planetary climates. Fortunately, our solar system offers a suitable spectrum of celestial bodies for such analysis.

3.2. Interplanetary Data Set

We based our selection of celestial bodies for the ATE analysis on three criteria: 1) presence of a solid planetary surface with at least traces of atmosphere; 2) availability of reliable data on surface temperature, total pressure, atmospheric composition etc. preferably from direct measurements; and 3) representation of a wide range of atmospheric masses and compositions. This approach resulted in choosing of four planets – Mercury, Venus, Earth, and Mars, and four natural satellites – Moon of Earth, Europa of Jupiter, Titan of Saturn, and Triton of Neptune. Each celestial body was described by 14 parameters listed in Table 1.

For planets with tangible atmospheres, i.e. Venus, Earth and Mars, the temperatures calculated from IGL agreed rather well with observations. Note that, for extremely low pressures such as on Mercury and Moon, the Gas Law produces Ts ≈ 0.0. The SPGB temperatures for each celestial body were estimated from Eq. (2) using published data on solar irradiance and assuming αgb = 0.12 and ϵ = 0.955. For Mars, global means of surface temperature and air pressure were calculated from remote sensing data retrieved via the method of radio occultation by the Radio Science Team (RST) at Stanford University using observations by the Mars Global Surveyor (MGS) spacecraft from 1999 to 2005. Since the MGS RST analysis has a wide spatial coverage, the new means represent current average conditions on the Red Planet much more accurately than older data based on Viking’s spot observations from 1970s.

Table 1. Planetary data used to analyze the physical nature of the Atmospheric Near-Surface Thermal Enhancement (NTE). Information was gathered from multiple sources using cross-referencing. The bottom three rows of data were estimated in this study using equations discussed in the text.

3.3. Physical Nature of ATE / GHE

Our analysis of interplanetary data in Table 1 found no meaningful relationships between ATE (NTE) and variables such as total absorbed solar radiation by planets or the amount of greenhouse gases in their atmospheres. However, we discovered that NTE was strongly related to total surface pressure through a nearly perfect regression fit via the following nonlinear function:

image

where Ps is in Pa. Figure 5 displays Eq. (7) graphically. The tight relationship signals a causal effect of pressure on NTE, which is theoretically supported by the IGL (see & 3.1). Also, the PsNTE curve in Fig. 5 strikingly resembles the response of the temperature/potential temp. (T/θ) ratio to altitudinal changes of pressure described by the well-known Poisson formula derived from IGL (Fig. 6). Such a similarity in responses suggests that both NTE and θ embody the effect of pressure-controlled adiabatic heating on air, even though the two mechanisms are not identical. This leads to a fundamental conclusion that the ‘Natural Greenhouse Effect’ is in fact a Pressure-induced Thermal Enhancement (PTE) in nature.

NTE should not be confused with an actual energy, however, since it only defines the relative (fractional) increase of a planet’s surface temperature above that of a SPGB. Pressure by itself is not a source of energy! Instead, it enhances (amplifies) the energy supplied by an external source such as the Sun through density-dependent rates of molecular collision. This relative enhancement only manifests as an actual energy in the presence of external heating. Thus, Earth and Titan have similar NTE values, yet their absolute surface temperatures are very different due to vastly dissimilar solar insolation. While pressure (P) controls the magnitude of the enhancement factor, solar heating determines the average atmospheric volume (V), and the product P×V defines the total kinetic energy and temperature of the atmosphere. Therefore, for particular solar insolation, the NTE factor gives rise to extra kinetic energy in the lower atmosphere beyond the amount supplied by the Sun. This additional energy is responsible for keeping the Earth surface 133K warmer than it would be in the absence of atmosphere, and is the source for the observed 44% extra down-welling LW flux in the lower troposphere (see &2.1 C). Hence, the atmosphere does not act as a ‘blanket’ reducing the surface infrared cooling to space as maintained by the current GH theory, but is in and of itself a source of extra energy through pressure. This makes the GH effect a thermodynamic phenomenon, not a radiative one as presently assumed!

Equation (7) allows us to derive a simple yet robust formula for predicting a planet’s mean surface temperature as a function of only two variables – TOA solar irradiance and mean atmospheric surface pressure, i.e.

image

image

Figure 5. Atmospheric near-surface Thermal Enhancement (NTE) as a function of mean total surface pressure (Ps) for 8 celestial bodies listed in Table 1. See Eq. (7) for the exact mathematical formula.

image

Figure 6. Temperature/potential temperature ratio as a function of atmospheric pressure according to the Poisson formula based on the Gas Law (Po = 100 kPa.). Note the striking similarity in shape with the curve in Fig. 5.

where NTE(Ps) is defined by Eq. (7). Equation (8) almost completely explains the variation of Ts among analyzed celestial bodies, thus providing a needed function to parse the effect of a global pressure change on the dependent variables ρ and Tsin Eq. (6). Together Equations (6) and (8) imply that the chemical composition of an atmosphere affects average air density through the molecular mass of air, but has no impact on the mean surface temperature.

4. Implications of the new ATE Concept

The implications of the above findings are numerous and paradigm-altering. These are but a few examples:

image

Figure 7. Dynamics of global temperature and 12-month forward shifted cloud cover types from satellite observations. Cloud changes precede temperature variations by 6 to 24 months and appear to have been controlling the latter during the past 30 years (Nikolov & Zeller, manuscript).

A) Global surface temperature is independent of the down-welling LW flux known as greenhouse or back radiation, because both quantities derive from the same pool of atmospheric kinetic energy maintained by solar heating and air pressure. Variations in the downward LW flux (caused by an increase of tropospheric emissivity, for example) are completely counterbalanced (offset) by changes in the rate of surface convective cooling, for this is how the system conserves its internal energy.

B) Modifying chemical composition of the atmosphere cannot alter the system’s total kinetic energy, hence the size of ATE (GHE). This is supported by IGL and the fact that planets of vastly different atmospheric composition follow the same PsNTE relationship in Fig. 5. The lack of impact by the atmospheric composition on surface temperature is explained via the compensating effect of convective cooling on back-radiation discussed above.

C) Equation (8) suggests that the planet’s albedo is largely a product of climate rather than a driver of it. This is because the bulk of the albedo is a function of the kinetic energy supplied by the Sun and the atmospheric pressure. However, independent small changes in albedo are possible and do occur owning to 1%-3% secular variations in cloud cover, which are most likely driven by solar magnetic activity. These cloud-cover changes cause ±0.7C semi-periodic fluctuations in global temperature on a decadal to centennial time scale as indicated by recent satellite observations (see Fig. 7) and climate reconstructions for the past 10,000 years.

image

Figure 8. Dynamics of global surface temperature during the Cenozoic Era reconstructed from 18O proxies in marine sediments (Hansen et al. 2008).

image

Figure 9. Dynamics of mean surface atmospheric pressure during the Cenozoic Era reconstructed from the temperature record in Fig. 8 by inverting Eq. (8).

D) Large climatic shifts evident in the paleo-record such as the 16C directional cooling of the Globe during the past 51 million years (Fig. 8) can now be explained via changes in atmospheric mass and surface pressure caused by geologic variations in Earth’s tectonic activity. Thus, we hypothesize that the observed mega-cooling of Earth since the early Eocene was due to a 53% net loss of atmosphere to Space brought about by a reduction in mantle degasing as a result of a slowdown in continental drifts and ocean floor spreading. Figure 9 depicts reconstructed dynamics of the mean surface pressure for the past 65.5M years based on Eq. (8) and the temperature record in Fig. 8.

5. Unified Theory of Climate

The above findings can help rectify physical inconsistencies in the current GH concept and assist in the development of a Unified Theory of Climate (UTC) based on a deeper and more robust understanding of various climate forcings and the time scales of their operation. Figure 10 outlines a hierarchy of climate forcings as part of a proposed UTC that is consistent with results from our research as well as other studies published over the past 15 years. A proposed key new driver of climate is the variation of total atmospheric mass and surface pressure over geological time scales (i.e. tens of thousands to hundreds of millions of years). According to our new theory, the climate change over the past 100-300 years is due to variations of global cloud albedo that are not related to GHE/ATE. This is principally different from the present GH concept, which attempts to explain climate changes over a broad range of time scales (i.e. from decades to tens of millions of years) with the same forcing attributed to variations in atmospheric CO2 and other heat-absorbing trace gases (e.g. Lacis et al. 2010).

Earth’s climate is currently in one of the warmest periods of the Holocene (past 10K years). It is unlikely that the Planet will become any warmer over the next 100 years, because the cloud cover appears to have reached a minimum for the present levels of solar irradiance and atmospheric pressure, and the solar magnetic activity began declining, which may lead to more clouds and a higher planetary albedo. At this point, only a sizable increase of the total atmospheric mass can bring about a significant and sustained warming. However, human-induced gaseous emissions are extremely unlikely to produce such a mass increase.

image

Figure 10. Global climate forcings and their time scales of operation according to the hereto proposed Unified Theory of Climate (UTC). Arrows indicate process interactions.

6. References

Kopp, G. and J. L. Lean (2011). A new, lower value of total solar irradiance: Evidence and climate significance, Geophys. Res. Lett., 38, L01706, doi:10.1029/2010GL045777.

Kuptsov, L. P. (2001) Hölder inequality, in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1556080104.

Lacis, A. A., G. A. Schmidt, D. Rind, and R. A. Ruedy (2010). Atmospheric CO2: Principal control knob governing earth’s temperature. Science 330:356-359.

Lindzen, R. S. and Y.-S. Choi (2009). On the determination of climate feedbacks from ERBE data. Geophys. Res. Lett., 36, L16705, doi:10.1029/2009GL039628.

McKitrick, R. R. et al. (2010). Panel and Multivariate Methods for Tests of Trend Equivalence in Climate Data Series. Atmospheric Science Letters, Vol. 11, Issue 4, pages 270–277.

Nikolov, N and K. F. Zeller (manuscript). Observational evidence for the role of planetary cloud-cover dynamics as the dominant forcing of global temperature changes since 1982.

Pavlakis, K. G., D. Hatzidimitriou, C. Matsoukas, E. Drakakis, N. Hatzianastassiou, and I. Vardavas (2003). Ten-year global distribution of down-welling long-wave radiation. Atmos. Chem. Phys. Discuss., 3, 5099-5137.

Spencer, R. W. and W. D. Braswell (2010). On the diagnosis of radiative feedback in the presence of unknown radiative forcing, J. Geophys. Res., 115, D16109, doi:10.1029/2009JD013371

Trenberth, K.E., J.T. Fasullo, and J. Kiehl (2009). Earth’s global energy budget. BAMS, March:311-323

===============================================================

This post is also available as a PDF document here:

Unified_Theory_Of_Climate_Poster_Nikolov_Zeller

UPDATE: This thread is closed – see the newest one “A matter of some Gravity” where the discussion continues.

The climate data they don't want you to find — free, to your inbox.
Join readers who get 5–8 new articles daily — no algorithms, no shadow bans.
0 0 votes
Article Rating
684 Comments
Chris B
December 29, 2011 6:18 am

Mike McMillan says:
December 29, 2011 at 3:16 am
My recall was a few degrees off. Here’s the post.
http://wattsupwiththat.com/2010/05/06/hyperventilating-on-venus/#comment-384746
__________________________________________
I remember the post, and thinking that pressure was a better explanation for Venus’s high atmospheric temperature than CO2 content.
Your mid 2010 post also got me thinking that there must be a calculable increase in Earth’s atmospheric temperature due to the small increase in atmospheric volume/pressure due to the burning of fossil fuels ( basically converting them from an upper crust liquid/solid to an atmospheric gas ), and simply due to the release of heat in the combustion process. Both increases are probably relatively small but most likely contribute to an increase rather than a decrease in atmospheric temperature, notwithstanding possible negative feedbacks.
Perhaps someone has already done the back of an envelope calculation.

December 29, 2011 6:20 am

Harry Dale Huffman says:
December 29, 2011 at 6:04 am
Extremely well put Harry, thank you.

December 29, 2011 6:31 am

I know a lot of readers would love to jump on this bandwagon & call the hypothesis good at this point, but this is a radical departure from current thinking & as it has been said, “extraordinary claims require extraordinary proof “. I think this paper is a good start by using the lines of evidence presented, but I would call it a start , not a completion
I see the general merits of this hypothesis, but would like to see many more studies of specifics , both by these authors & by other independent authors supporting this idea before I buy off on it. At this point, I would like some one to cleverly & independently develop an estimate of Earth’s atmospheric mass with time, calculate the associated surface pressures & compare it figure 9 – that would be a good start.
I see the need for a much more extensive investigation of implication 4c (albedo & cloud cover), as that is critical to explaining short period variations, such as the lack of warming over the last decade or so. The authors state this is a result of their equation 8. There probably needs to be multiple papers using modern datasets to further test this hypothesis & equation 8.
The one red flag I see is the long term predicted pressure profile in figure 8. Eocene pressures max out at ~ 185 kPa – that’s approaching double today’s standard pressure of ~ 101 kPa !! I would think at those kind of pressures there would be some biological effects which might be manifested in the fossil record – how life adapted to such high pressures.
The authors suggest mantle outgassing rates as a source of atmospheric mass variation. That would only be on the “input” side of the equation. What about the “output” side of the equation – ie mass being taken out of the atmosphere (if all we did is add to the atmosphere, the it would get continually heavier / hotter with time, only the rate of increase would change). So, the big factor there is taking CO2 out of the atmosphere via carbonate rock production. As such, there ought to be some sort of correlation of temps to carbonate rock production (ie in periods of increased carbonate rock production, we ought to see falling temps, all else being equal).
Similarly, we are all familiar with the Vostok ice core – temp data offset & correlation :
http://wattsupwiththat.com/2009/01/30/co2-temperatures-and-ice-ages/
So, it would be good to see what these changes in CO2 translate to in terms of changes in atm pressure & see what the implied temp change would be – another good way to investigate the hypothesis.
Sp, nice start – I will be interested to see where the research goes from here.

December 29, 2011 6:33 am

Why the theory of man-made climate change is fishier than a carp’s armpit. In one page. Brilliant.

Kelvin Vaughan
December 29, 2011 6:33 am

Bloke down the pub says:
December 29, 2011 at 4:29 am
If only James Hansen had studied the atmosphere of the other planets. Oh, er…
I know that if I knew what I didn’t know back then, what I now know that I don’t know now, I would have tried to understand maths a bit more when I was at school.
It’s never too late to learn. just harder work when your older!

Pamela Gray
December 29, 2011 6:34 am

Very interesting. And it seems, could be modeled rather quickly and tested against observations. I know this will cause a collective groan but I think this deserves further serious work and funds.

richard verney
December 29, 2011 6:36 am

commieBob says:
December 29, 2011 at 5:26 am
////////////////////////////////////////////
This is not the sort of paper that you can glance at. It demands to be read slowly and pondering on propositions as you go. I have not yet had the time to properly read it.
As regards the comparision with the Moon’s temperature aren’t the authors calculating that both the Moon and the no atmospheric Earth have the same temperature of 154.3K? Is this not what the SPBG Mean Surface Temperature calculation suggests?
Having calculated the SPBG Mean Surface Temperature of 154.3K they use this assessment to then assert that GHE is 133K (ie., about 287.3K).
Thus perhaps your question goes to the assessment of the APBG Mean Surface Temperature and whether the principles applied to that assessment are correct.

Chris B
December 29, 2011 6:37 am

Martin Mason says:
December 29, 2011 at 3:29 am
Very good and understandable reasoning. How to get this where it will be seen though?
_____________________________________
Maybe a title change to something more acceptable to the CAGW sympathizers. You know, pull them in with the title to get them to read it. It would be interesting to see how far into it they got before saying, “Hey, wait a minute.”
How about: Unified theory of Climate Change saves Polar Bears.

James of the West
December 29, 2011 6:42 am

Rob L – glacation requires lots of water – if some of that water came from the atmosphere due to falling atmospheric temperature unable to hold the H2O as a gas could it result in pressure changes of that magnitude? What % of the atmosphere by mass is H2O and if we lowered the average temp of the troposphere by 10 degrees how much of that water would condense out as precipitation (snow and ice) over land?

Keith
December 29, 2011 6:49 am

Will and Harry:
How would you modify their equations?

Jimmy Haigh
December 29, 2011 6:52 am

Does this mean that “mountain top removal” mining will reduce the global average temperature?…

December 29, 2011 6:53 am

guys, I’m thinking this paper is a bit slick, maybe a knee-jerk reaction, totally a gut thing on my part.
I am reminded yet again of the utility of science, the subservience to greater ‘gods’ i.e. bosses, status quo, et al.
there’s a book, ‘the sleepwalkers’. (our discoveries were accidental and unseen) there might be unseen discoveries in this paper.
pressure is a ‘new’ view to me, and seems to fit in with theories of critical mass, and the fate of astronomical bodies, to be a neutrino or a black hole.
the real deal, from my point of view, is litigating against IPCC contributers for fraud, and IPCC benefactors for lack of due diligence.
a great blog, the best in my world !

richard verney
December 29, 2011 6:55 am

wayne says:
December 29, 2011 at 5:58 am
,,,,,,Forget the bicycle tire analogies.
//////////////////////////////////////////////////////
Wayne
I do not think that the bicycle tyre analogy is a bad analogy. What people tend to overlook is that side wall flexing of a tyre will maintain the air temperature within the tyre. This is well known in motor racing and why it is necessary to run a racing car at speed if good mechanical grip is to be maintained and why if a car is stationary for any period tyres lose heat and pressure leading to a loss of grip.
Earth has the equivalent of this side wall flexing, it is called the diurnal/atmosheric bulge. I would suggest that the constant flexing of this bulge is an important factor in maintaining the heat in the atmosphere which heat in the first instance is derived by the pressure of the atmoshere (gravitational forces compressing the atmosphere). This atmosheric bulge is driven by the rotation of the Earth, the Sun/Earth gravity interaction and no doubt also by solar irradiance heating the atmosphere/surface as Earth spins on its axis and presents an ever changing face to the sun.
As the authors of this paper note, one needs only the amount of energy required to replace the heat loss for the atmosphere to sustain a broadly stable temperature.

Pamela Gray
December 29, 2011 6:55 am

For those of us who have been around here for awhile the thought of atmospheric pressure came up frequently when discussing the seemingly different responses to CO2 concentrations among the planets. Those different temperature responses seemed to be explained by atmospheric pressure differences. So well in fact that CO2 could be ignored. Any kind of gas mix would work if pressure were great enough. And that changes in pressure was the direct cause of temperature changes on such a scale.
Fertile ground for examination it would seem.

ScuzzaMan
December 29, 2011 7:04 am

That seems to make sense …
What **really** bugs me about the whole “precautionary-principle-climate-change-will-kill-us-all” crowd, is why the precautionary principle **doesn’t** apply to the single most demonstrably savage and widespread cause of calamity known to human history: giving more power to fewer people?
Things that make you go ‘Hmmmmm….’ …

DirkH
December 29, 2011 7:12 am

Oh look. O2 has some emission/absorption lines in the IR range. Paywalled, 1970. I’ve only read the abstract, I don’t have access.
http://www.opticsinfobase.org/abstract.cfm?uri=ao-9-6-1419
(I was wondering how, in the theoretical absence of the usual GHG’s, CO2 and H2O, the atmosphere could radiate to space. These emission lines would provide a means to that, and given the high partial pressure of O2, an efficient one. FUNNY how the IPCC scientists have never mentioned this. At least I don’t remember.)

Mydogsgotnonose
December 29, 2011 7:16 am

Having seen the comments pile up, it’s worth remembering a few important facts about this paper.
1. They re-invent lapse rate heating. Why didn’t they read up about the subject?
2. The real present GHG warming of the Earth is ~9 K; the IPCC’s claim of 33K is a not very clever deception..
3, The authors fall into the trap of imagining that ‘back radiation’ can do thermodynamic work. Asahenius was wrong as any professional engineer experienced in modelling and designing heat transfer will confirm,
4. It’s nicely presented but seriously flawed because of 3. However, it if destabilises the IPCC fraud, there may be some good out of it!

DirkH
December 29, 2011 7:16 am

DirkH says:
December 29, 2011 at 7:12 am
“Oh look. O2 has some emission/absorption lines in the IR range.”
Oh sorry – they don’t mention O2 but OI so that probably means oxygen ions (?), not molecular oxygen.

Pamela Gray
December 29, 2011 7:18 am

I agree with others in that this is a theory ripe with many testable hypothesises. The beauty of the theory is that gas mixes appear not to matter. Therefor planetary studies outside of Earth could be used to determine the robustness of this theory. If it is just a special case here on Earth, I give it less reliability as well as validity. A paradigm shift by nature must prove to be robust across varying conditions.

Bob
December 29, 2011 7:21 am

My scalp tingled as I read this. I still have to go back and read it more closely, but this should become a a better fundamental physical description of the dynamics of global temperature.

Joe Bastardi
December 29, 2011 7:22 am

After appearing on Fox a couple of times on this matter, it is gratifying to see that the very things got a polemic launched against me by leftist environmentalists are being brought up here.
I opined that the amount of co2 launched into the atmosphere could have no effect on the earths energy budget, and so there could be no true change in temperature, as energy can neither be created nor destroyed. Co2 being natural to the system, could therefore not have an effect on the system that could remain permanent. Of course that got people saying that I did not understand the GHE, which to me is a misnomer anyway as the “trapping blanket” so to speak is not a greenhouse pane, but more or less something that is not even a blanket but something you might find in Victorias Secret, thin, flimsy etc. ( that is supposed to be a joke to make my point, okay) So this statement jumped out at me:
Can a handful of trace gases which amount to less than 0.5% of atmospheric mass trap enough radiant heat to cause such a huge thermal enhancement at the surface? Thermodynamics tells us that this not possible.
I believe my quote on FOX referred to it as a trace gas needed for life on the planet that could have no effect on the energy budget of the earth, but in the same mode
Also gratifying to read:
B) Modifying chemical composition of the atmosphere cannot alter the system’s total kinetic energy, hence the size of ATE (GHE).
The other part was simply reducing the matter to La Chateliers principle, which simply put states that systems in distress fight to return toward normalcy
“Any change in status quo prompts an opposing reaction in the responding system.”
It is my belief that while research into the complex may reveal that there is more to all this than the simplistic views that I have become convinced rule the day ( one of them being the big natural drivers and basic principles far outweigh the effects of a gas natural to the system), it is highly unlikely that it will produce anything beyond people that wish to shackle the progress of society because of their desire for a) control b) worship ( they are looked upon as smart) or c) to make money off the whole thing. In the private sector, one is paid for the results of the research, ie I study the weather ( not paid) make a forecast and am paid if I am correct enough for the client to find value. The whole AGW industry is based on research and non verifiable results, leading to the idea that any result verifies the research. This is a God send for anyone who does not wish to be judged on actual results or being forced to compete!
One more thing… While I have my simplistic sectarian reasons listed above for what I believe, and I am gratified to see some of the ideas at least show up here in what looks to be a an exhaustive, well researched and as the authors will soon find, a paper to be attacked and ridiculed, it may all come down to what I have concluded after watching the majesty of the creation all these years:
Eccl 1:9
What has been will be again, what has been done will be done again; there is nothing new under the sun.
That really gets them mad!

Viv Evans
December 29, 2011 7:23 am

Very interesting paper – I definitely must read this agin, very s-l-o-w-l-y!
And I’m looking forward to the excellent comments here, from which I hope to learn even more.

John Wilkes Booth
December 29, 2011 7:25 am

“a) the product P×V defines the internal kinetic energy of a gas (measured in Jules) that produces its temperature; ”
This is wrong and anyone with an air compressor can prove it. Pressurize a tank of air. It will initially be warmer according to the idea gas law. But wait a few days. Its temperature will equalize with the ambient air outside the tank. Yet the pressure and volume of the compressed has not changed.
What the authors propose would in effect be a power source for a perpetual motion machine.
FAIL
Big time. FAIL

John G
December 29, 2011 7:27 am

I can’t judge the math or the physics but assuming this holds up we’re in for a paradigm shift that will blow the current crop of climate alarmists (for whom an implicit argument has always been “there isn’t any other explanation than enhanced greenhouse effect”) out of the water. A theory of climate that depends on planetary mechanics, atmospheric mechanics, planetary motions, solar insolation and cosmic radiation is far more satisfying than one that depends solely on the amount of a trace gas in the atmosphere. In fact when you put it like that one wonders how serious scientists ever came to that conclusion.

GabrielHBay
December 29, 2011 7:28 am

Before reading any of the comments above, and while my maths is far too rusty to follow the detail, the clear and concise and comprehensive verbal explanation is the first that I have seen from climate science (in this context) that hits (for me) that warm spot that says: “YES!” Must confess that I have been, from day one, part of that really BAD group of extreme sceptics who do not accept at all the concept of a nett greenhouse effect in a real, ‘live’, atmosphere… and this paper makes perfect sense to me. What a rush.. Now to wade through all the other comments…. there goes my evening 🙂