Unverified and Unvalidated

Guest Post by Willis Eschenbach (@WEschenbach on X, my personal blog is here)

Dear friends, pull up a chair and pour a good strong coffee.

Because today’s topic is a real treat: yet another “Indicators of Global Climate Change” paper, this time the 2025 update, in which a team of the usual suspects announce—for the thirty’leventh time—that the planet is warming, that evil humans did it, and they can now put single decimal numbers on “human induced warming” and the remaining carbon budget as though the climate system were a well debugged spreadsheet rather than a barely observed, non linear, chaotic, multiscale nightmare.

People misunderestimate the complexity of the climate. It has no less than six major subsystems: atmosphere, hydrosphere, lithosphere, biosphere, cryosphere, and electrosphere. Each of these systems has its own internal cycles, forcings, responses, and resonances. And all of them are constantly interacting at spatial scales from the molecular to the planetary, and temporal scales from nanoseconds to millennia. Willis’s First Rule of Climate states, “In the climate, everything is connected to everything else, which in turn is connected to everything else … except when it’s not”. It’s the most complex system we’ve ever tried to model, and we’ve barely scratched the surface.

Now, don’t get me wrong. I’ve written lots of computer models. I like indicators. I like data. I like having regular snapshots of where we are.

But what I don’t like is pretending that running the same assumptions through a slightly updated sausage machine counts as validation of anything. These folks are not testing the system. They’re just doing annual bookkeeping within an untested framework and then declaring victory. That’s not science; that’s climate accounting with a side of unwarranted confidence.

Let’s start with the basics. The paper is explicitly aligned with IPCC AR6 methods. It tracks emissions, concentrations, effective radiative forcing, surface temperature, Earth’s energy imbalance, sea level, and so on, then uses a simple climate model (FaIR) tuned to AR6 and a handful of observational constraints to spit out “human-induced warming”.

In other words, they take AR6’s structure, plug in updated emissions and temperature series, and out pops the updated “human-caused warming is now 1.37 °C” kind of number. Handy, perhaps. But notice what they’re not doing: they’re not independently checking whether the underlying model family can actually reproduce crucial features of the real climate system when it’s not being hand-held.

This brings us to a topic near and dear to my heart—verification and validation, or as grown-up modelers call it, V&V. I wrote my first computer program sixty-three years ago this month, so I know more than a bit about computer models and V&V.

Let me strip it down to the bare essentials. Here’s the TL;DR version.

  • Verification is asking “Did we solve the equations right?”
  • Validation is asking “Did we solve the right equations?”

Two very different questions.

First, some background. In the adult parts of engineering—nuclear, aerospace, mechanical, structural, medical devices—V&V isn’t some optional nicety. It’s standard operating procedure. If you build a computational model that will be used to design a bridge, a reactor, or a heart valve, you’re expected to show that (1) the code does what you think it does, and (2) the whole model is actually a decent representation of the real physical system in the situations you care about.

Those are verification and validation, respectively. Miss either one and you’re in the realm of wishful thinking, not engineering.

So what is “verification”? At its core, verification is about the implementation, not the real world. It’s the process of checking that the computer code accurately solves the mathematical model you’ve chosen. You can think of it as asking “Are the numerics right?”

That includes all the unglamorous but vital stuff: does the code solve the equations correctly; are the boundary conditions implemented correctly; do conservation laws hold; does the solution converge as you refine the grid or timestep; and does the model reproduce known analytical or benchmark solutions when you feed it simple test cases? You’re comparing the code against the intended equations and algorithms, not against observations of nature. If your conceptual model is wrong, perfect verification won’t save you—but at least you know the error isn’t a typo in the code.

Here, we run into the problem that causes climate modelers to smile weakly and deliberately look the other way when it is mentioned. We do not have a general proof that the full, parameterized, rotating, moist Navier–Stokes system used in operational climate models converges in any rigorous, global sense as you push the grid spacing toward zero.

This is more than a theoretical problem. It means that no, we do NOT know if the models are actually using the right math in the right way. And in fact, in some models, error norms or diagnostics do not decrease smoothly with grid refinement; instead, they can flatten or even increase over certain resolution ranges because new scales of motion are partially resolved, numerical diffusion changes regime, or wave–mean flow interactions behave differently as the grid gets finer.

How do the modelers get around this? By using dozens and dozens of tunable parameters that nudge the climate model toward the desired centerline when it gets too near the ditches, as I described in the post below.

So we have no guarantee that the climate models are actually doing the right math in the right way.

Then we get to “validation”. This is where you step out of the mathematical sandbox and look up at the real world. Validation asks a harder and much more interesting question: given that the code solves some set of equations correctly (which we don’t know), does that set of equations provide an adequate representation of the actual physical system for the purpose you care about?

Here, you’re no longer comparing the model to itself. You’re comparing model outputs to measurements, experiments, or observational data that weren’t already used to tune the model. You run the model in regimes where you know what nature does, and you ask whether the model’s predictions fall within acceptable bounds. Crucially, “acceptable” is not a metaphysical word—it’s defined relative to the decisions you’re going to base on that model. Designing a rocket nozzle and estimating the global mean temperature in 2100 have very different tolerance requirements.

So, in practice, verification answers “is the code faithful to the math?” while validation answers “is the math faithful to the world, for this job?” You need both if you want to claim that your model is more than an elaborate curve-fitting exercise.

And this is why I’m talking about V&V in climate modeling.

A model that hasn’t been rigorously verified might just be a fancy random number generator with good PR.

A model that hasn’t been rigorously validated—against out-of-sample phenomena, with clear pass/fail criteria—is simply not entitled to strut around as if it “understands” the climate system.

At best, it’s a hypothesis generator. At worst, it’s a very expensive way of confirming what you already believe.

Look, if an engineer builds a bridge model, you don’t just eyeball the output and say “looks about right”. You verify that the code is solving the equations you think it is, and you validate the model by comparing its predictions to independent reality it hasn’t already been tuned to. You push it into regimes where you actually know the answer. If it fails, you fix it, or you stop trusting it. Simple.

In the IPCC world, though, “validation” mostly means “it lines up with AR6 and some global mean time series we already used to calibrate it.” FaIR, the simple climate model they use, is calibrated to the CMIP6 ensemble and to global mean temperature and ocean heat content. The paper then reuses that same model to say how much of the observed warming is human-caused and what the remaining carbon budget is. That’s not validation; that’s circular reasoning dressed up as modeling elegance. The sad truth is that the software that runs a high-rise elevator has had far more V&V than modern climate models.

They never show, for example, that this whole AR6–FaIR pipeline can reproduce any major out-of-sample behavior of the climate system—say, the vertical structure of tropical temperatures, or the last millennium’s slow cooling into the Little Ice Age and subsequent recovery.

Now, if you were serious about V&V, there’s one huge, glaring test sitting there like the proverbial elephant in the tropical living room: the vertical structure of warming in the tropics. The greenhouse story doesn’t just say “it warms.” It says it warms in a particular pattern—more in the tropical upper troposphere than at the surface, roughly following a moist adiabatic profile. The models love this. They produce a big warm “hot spot” around 200–300 hPa in the tropics. It’s one of their most robust fingerprints.

The atmosphere, on the other hand, is not impressed. When you look at radiosonde and satellite datasets, the observed tropical troposphere warming is much, much weaker than the CMIP multi-model mean would have you believe, especially in that upper troposphere region where the models are so eager to heat things up. Douglass and Santer pointed this out years ago: model tropical tropospheric temperature trends substantially exceed those from observations, often by more than twice the observational uncertainty, especially over the satellite era.

Later work has tried to soften this clash by waving their hands and invoking “internal variability” (which is code for “some natural cause we don’t understand but we want to sound all sciency about it”) and data uncertainties, but even those authors concede that the models warm the tropical upper troposphere faster than most observational datasets.

If your model family can’t get the vertical temperature structure right in the tropics over the last few decades, where we actually have satellites and balloons, why on earth would you assume that the same model family is capable of delivering tenths of a degree precision on global “human-induced warming”? If the lapse rate feedback and moist convection are off, your global sensitivity and feedback structure are suspect by definition. Yet the IPCC indicator framework just shrugs and marches on, quoting 1.37 °C of “human-caused” warming as though the underlying physics had passed all the obvious tests.

No. Just no.

While we’re on the topic of failed reality checks, let’s talk about the track record of what I call the serial doomcast industry—those dramatic, headline-friendly projections that were supposed to scare the public straight. You’ve seen them: ice-free Arctic summers “by 2020” or “by 2040”, small atolls drowning imminently, millions of “climate refugees”, and on and on. The IPCC paper is full of language about high rates of warming, record extremes, and shrinking carbon budgets.

What it does not do is step back and ask, “How have previous dramatic projections fared against empirical reality, and what does that say about the models and assumptions we’re using now?”

Take the “sunken atolls” claim. For years now, projections built on coupled climate models and a generous helping of arm waving have promised that low-lying coral atolls were about to vanish beneath the waves any minute now—pick your favorite deadline from the 1990s onward, there’s probably a paper or press release for it. Depending on the emissions scenario and the particular brand of coastal model, we were supposed to see islands “disappearing”, nations becoming “uninhabitable”, and whole cultures turned into climate refugees on a tidy timetable suitable for grant applications and NGO fundraising brochures.

Meanwhile, when you stop reading the press releases and actually look at the tide gauges, aerial photos, and satellite imagery, an inconvenient thing happens: the islands mostly refuse to cooperate. Yes, the sea level has been rising. Yes, there are local problem spots. But many atolls have stayed roughly the same size or even grown in area over the last half century or more, because coral reefs build vertically, storms move sediment around, and shorelines are not passive bathtub rims waiting for the water to creep over them.

The “sunken atolls” narrative, sold as an inevitable outcome of modelled sea level rise, keeps smashing into a messy, dynamic reality in which the islands are a lot more resilient—and a lot less obedient to simple doom graphs—than the marketing would have you believe.

That doesn’t mean they are immune to future problems. It does mean that early simplistic models and narratives were systematically wrong about how these systems respond, and climate indicators built on those same assumptions ought to treat that as a serious warning shot.

This is not new news. Charles Darwin pointed out a couple hundred years ago that atolls are created by rising sea levels, not destroyed. And I wrote about it in a scientific journal two decades ago, and detailed it in the post below.

But the IPCC doesn’t even admit its egregious error as an honest group of scientists would do. It just logs sea level rise, says impacts are increasing, and moves on.

At this point, someone will say, “But Willis, those are just details around the edges. The big picture is clear: recent warming is unprecedented, and we know it’s humans.” To which I reply: let’s take a walk through the last thousand years and see how “clear” that really is.

Reconstructions like the Ljungqvist study below show a general pattern: a relatively warm Medieval Climate Anomaly somewhere around 900–1200 CE, followed by a drawn-out cooling into the so-called Little Ice Age, with minimum temperatures roughly in the 17th–18th centuries, and then a warming into the 19th and 20th centuries.

The exact timing and magnitude vary by region, but the broad picture is of a climate system that can cool and then warm over centuries without help from SUVs or Chinese coal.

Now, look at that sequence: roughly speaking, the Earth cooled from about 1000 AD to around 1700 AD, then it stopped cooling, and then, instead of staying cold, it warmed in fits and starts up to the present. The first couple of centuries of that recent warming phase—from, say, 1700 to 1900—cannot plausibly be blamed on CO₂, because the human contribution to atmospheric CO₂ was still small. Even by 1900, concentrations were only modestly above pre-industrial levels.

So something else—some combination of natural changes in solar output, volcanic activity, ocean dynamics, and internal variability—drove a big, slow reversal of a multi-century cooling trend.

Here’s the key point: nobody really knows, in a mechanistic, predictive sense, why that long cooling happened, why it bottomed out when it did, or why the subsequent natural warming unfolded in the stepwise way it did. Reconstructions and model experiments can point to candidate drivers—clusters of big volcanic eruptions, small variations in solar output, maybe some internal modes—but there is no consensus quantitative model that says “if you dial the forcings like this, you reliably get the specific amplitude and timing of the MWP–LIA–modern sequence.”

And it gets worse the further back you look. In paleo times, in general, the planet has been warmer, and sometimes far warmer, than today. Why? Well … we have no clue. And in paleo times, as shown below, there’s little correlation between CO2 and temperature. Temperatures in the Carboniferous Age, for example, were similar to today but with double the CO2 level.

And yet, when it comes to the 1850–1900 baseline and everything after, the IPCC team serenely acts as though that messy, poorly understood millennial to million-year background can be cleanly subtracted off. They define 1850–1900 as “pre-industrial”, assume that the complex multi-century dynamics that led us into and out of the Little Ice Age are adequately captured by their chosen forcing reconstructions and internal variability assumptions, and then confidently assign tenths of a degree of the subsequent warming to “human-induced” causes.

That leap—from “we know temperatures and forcings roughly” to “we can decompose twentieth and twenty-first-century warming into human versus natural with one decimal place of certainty”—is precisely where hubris enters stage left.

The IPCC folks love their numbers. For the 2016–2025 decade, they report observed warming of about 1.26 °C relative to 1850–1900, with human-induced warming at 1.24 °C, and a rate of human-caused warming of about 0.27 °C per decade. For 2025 itself, they peg human-induced warming at about 1.37 °C. The uncertainties they quote are impressively tight—hundredths of a degree here, a few tenths there. Very official. Very polished.

But what are these numbers actually measuring? They’re not “what the climate did all by itself” versus “what humans did” in some controlled experiment. They are nothing but the outputs of a particular simple model family (FaIR) calibrated to a particular set of assumptions about forcings, feedbacks, aerosol cooling, and internal variability.

Change the model structure, and you change the attribution. Include a different representation of low-frequency ocean variability, you change the internal variability that has to be “explained away” by forcing. Adjust the aerosol forcing a bit, and your inferred CO₂-driven sensitivity and “human-induced warming” shift.

None of that structural uncertainty is included in the neat little uncertainty ranges they quote.

So where does that leave us? In my view, with three big takeaways.

First, the Global Climate Change paper is not doing what many people assume it is doing. It is not an independent test of climate models. It is not a fresh attribution study starting from scratch. It is an annual balance sheet inside the AR6 paradigm, taking the structural assumptions as given and reporting updated indicators. If you already believe AR6 has the right model family and the right forcings, IPCC will give you prettier, more up-to-date numbers. If you doubt that the family of models has passed basic V&V, IPCC does nothing to change your mind.

Second, the awkward facts haven’t gone away. The models still struggle to match the tropical troposphere. The last millennium still shows big, poorly explained swings in climate that predate major human forcing. The paleo record shows huge swings in temperature without obvious causes. The doomier end of the projection spectrum—ice-free Arctic dates, simplistic drowning atoll narratives, and the like—has a generally poor empirical track record.

The IPCC framework treats these as background noise rather than as central tests of whether the modeled system is structurally adequate. That’s backwards. In real science, failures are where you learn the most.

Third, and most important, nobody knows enough about the climate system to justify the tone of precision and inevitability that pervades this paper. We know the planet has warmed. We know CO₂ and other greenhouse gases absorb and emit radiation and will tend to warm the surface. We know humans have changed land cover, aerosols, and more.

But we do not have a validated, quantitatively reliable model of the whole multi-century climate evolution, from the Medieval warmth through the Little Ice Age to now, nor of the vertical structure in the key regions where greenhouse theory should shine, nor of the decadal interplay between internal variability and forcing.

Until we do—until climate models are treated like serious engineering tools, forced to pass hard out of sample tests, and until we can reproduce the major swings of the past millennium and the vertical structure of the modern atmosphere without hand waving—it is pure hubris to claim we “understand” today’s climate in the sense implied by single decimal attribution numbers, projections 75 years into the future, and tight remaining budget estimates. We understand some pieces. We guess at others. And we paper over the gaps with annual indicator updates that look very official.

Now, if you can show me a model family that can quantitatively reproduce the last thousand years, the tropical troposphere, and the realized sea ice behavior under clearly specified forcings, I’ll happily update my views. But until then, I’ll keep my skepticism, and I’d recommend you keep yours as well.


Here on the redwood forested ridge I call home, I’ve been having fun. A few afternoons ago, I stepped off a curb and it turned out to be a 24″ drop, not a 12″ drop. As a result, I made a two-foot (60 cm) spectacular faceplant into the street. Got up, dusted off, looked around all embarrassed to see if anyone noticed. They hadn’t, of course, self-importance strikes again. The good news was, no visible damage other than a scratch by the side of my eye.

Imagine my surprise when I looked in the mirror the next morning and I’d become half a raccoon …

Do I know how to party, or what?

My very best to everyone, and my advice?

… look before you leap …

w.

AS USUAL: I ask that when you comment, please QUOTE the exact words you are commenting on. I can defend my own words. I can’t defend your understanding of my words.

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128 Comments
NotChickenLittle
June 13, 2026 10:16 am

Just from my years of living and paying attention (I’m nearing the end of my 8th decade on the planet) I see that weather in the short term is so variable that even with $billions of dollars of computer power they still often can’t predict with certainty if it will rain tomorrow, or not. And I see that climate can vary with time, too, and also not in a rigorously predictable manner.
So although I am not a scientist, I am a skeptical layman when it comes to just about everything – show me, prove it, do the observations and data support the theory. The answers for climate predictions are “maybe”, “sometimes”, and “no”…
I am encouraged that not all scientists are sheep whose measuring stick is consensus but rather a sincere search for the truth – and for real scientists who realize that naysaying and attempting to knock down theories is work of the highest importance in trying to get to the truth.

Reply to  NotChickenLittle
June 14, 2026 5:04 am

I am a skeptical layman when it comes to just about everything – show me, prove it, do the observations and data support the theory. The answers for climate predictions are “maybe”, “sometimes”, and “no”…

This may only be understood by US denizens, but are you from Missouri?

Robert Cutler
Reply to  NotChickenLittle
June 14, 2026 8:15 am

NotChickenLittle,

My impression is that very few climate scientists, or advocates, are truly interested in the truth. If they’re not pushing a carbon agenda, then they’re serving as the opposition. Both groups flourish in the complexity of the problem and the lack of instrument records. They’ve argued their positions for years, if not decades. This is their comfort zone.

Why do I argue that most are not interested in the truth? Because when someone, especially someone who is not part of their club, makes a fundamental discovery that challenges the complexity—a discovery that is so simple that is not easily dismissed—they ignore it. They can’t challenge the discovery lest they draw attention to it, or look foolish for telling you something doesn’t exist when it plainly does. They also can’t appear to support it, I suspect because it’s not consistent with their long-held positions. Also, it’s dangerous to depart from the herd.

You’ve noted that “climate can vary with time, too, and also not in a rigorously predictable manner.” The fundamental discovery? Climate largely repeats after 3,560 years. Wouldn’t you think climate scientists would find that interesting?

comment image

comment image

June 13, 2026 10:38 am

Fundamentals.
GHE says without it Earth would become a -18 C ball of ice.
Just flat wrong.
GHE requires the surface to radiate “extra” energy as a BB.
Just flat wrong too.
GHE = bogus & CAGW = scam.
All the peripheral esoteric handwavium is pointless noise.

Phillip Chalmers
Reply to  Nicholas Schroeder
June 13, 2026 3:27 pm

Can you not get it into your head that every man and his dog knows that the earth is a bright blue and white planet in the solar system Goldilock’s zone where water can co-exist in its three states, gas and liquid and solid?
The back of the envelope calculation which was a thought experiment demonstrating that an atmosphere around a planet this size allowed just such surface temperature above the theoretical minimum to allow for biological life to thrive.
The set of comparisons consisted of Mars, Venus and the Moon.
If you cannot understand that the entire scientific community and the general public have long since moved on from there, accepted the fact that a planet the size of earth in the zone but without an atmosphere would possess a significantly different surface temperature.

Reply to  Phillip Chalmers
June 13, 2026 7:05 pm

And that difference would be hot not cold.

Reply to  Phillip Chalmers
June 13, 2026 7:19 pm

No atmos & GHE = no 30% albedo = 342 W/m^2 & 278 K, +5 C not 240 W/m^2 & 255 K, -18 C.

Reply to  Nicholas Schroeder
June 13, 2026 10:16 pm

Without any atmosphere, planet Earth would have a Albedo of about 0.13 similar to the moon and be cloudless and GHG free
Using normal textbook formulae
1360/4*(1-.13)‎ = 296
And 296 Watts/sq.M using SB formula at emissivity of .98 gives 270 K or about 3 degrees below freezing as its emissions temperature…which would be the surface temperature…assuming it is spinning fast enough that the surface temperature is not too different from daytime to nighttime. What numbers are you using Nicholas, for Albedo and emissivity?
You are much closer than usual. Have you learned from us recently ?

Reply to  DMacKenzie
June 14, 2026 7:27 am

We keep ploughing the same imaginary dead horse. 

No atmos/GHE means no water vapor, clouds, ice, snow or oceans. The molten core would then punch through the now empty thin ocean floor, flood 70% of the surface with dark lava and produce a single digit albedo. The without atmos/GHE albedo is pure speculation, but what without would not be is the 30% used by GHE. You seem to agree.

The only way the popular balance graphics actually balance is by losing the BB/back/extra loop. So long as you maintain that 63 + 63 = 63 and pull an impossible surface BB out of thin air this thread goes nowhere.

The Grand “Balance”
GOZINTAZ positive, GOZOUTAZ negative.
Refer to TFK_bams09
1st 63 AWOL
+160 surface – 80 latent – 17 sensible – 0 (1st 63 AWOL) – 396 BB + 333 back – 2nd 63 LWIR = – 63
Does not balance.
Both 63s
+160 surface – 80 latent – 17 sensible – 1st 63 LWIR – 396 BB + 333 back – 2nd 63 LWIR = – 126 
Does not balance. 
1st 63 has priority leaving no place ToA for 2nd 63 which must return to surface.
+160 surface – 80 latent – 17 sensible – 1st 63 LWIR – 396 BB + 333 back + 2nd 63 LWIR = 0
Balances: GOZINTAZ = GOZOUTAZ
1st 63 OLR at ToA.
80/17/63 is reality from Sun
2nd 63 must return to surface.
-396 BB/+333”back”/+2nd 63 fictional, imaginary, zeros out and implodes.
No GHE or CAGW.

Reply to  Nicholas Schroeder
June 15, 2026 7:44 pm

On your supposed imbalance….Look at ground level….
The net radiant heat is just 396-333=63 watts
Thus, leaving the surface is 63+80+17=161 so BALANCES the heat absorbed from the Sun +/-1 watt, so ground level temperature will stay at whatever temp it is at…
Now up to the Blue Atmosphere level….net heat input from ground to that layer is 356-333=23….the other 40 of the 63 ….goes directly to outer space. The 169+30 at the top of the Dark Blue and shown in EMR color is “real heat” in your terminology because Tcold is outer space at absolute zero.
So heat leaving dark blue (and emitted from the dark blue zone upwards) is 169+30=199 
Entering dark blue is 23 net heat from below as explained +17 thermals +80 evap +78 of absorbed sunlight = 198 so BALANCES +/- 1 watt
Next layer up 239 leaving is just 199 from the dark blue zone below plus the 40 from the ground that went directly to outer space…also BALANCES +/- 1 watt.
So your interpretation is WRONG.

Reply to  Nicholas Schroeder
June 13, 2026 5:24 pm

Nicholas flat-earther curmudgeon nonsense hit the comments section yet again.

mleskovarsocalrrcom
June 13, 2026 10:41 am

+1 Willis. But who’s listening? I contend that the MSM has been bought by the Marxists (my common theme). Logic is not part of their agenda, only narrative supporting ideology.

Scissor
Reply to  mleskovarsocalrrcom
June 13, 2026 11:50 am

Agreed.

David Wojick
Reply to  mleskovarsocalrrcom
June 13, 2026 12:20 pm

We are listening.

Jeff Alberts
Reply to  David Wojick
June 15, 2026 8:20 am

Unfortunately, we aren’t the ones who need to listen.

June 13, 2026 10:42 am

Outstanding post, WE.

A tropical troposphere vertical temperature profile factoid. In CMIP6, there is only one model that does not produce a spurious tropical troposphere hotspot. INM CM5. A result so important the Russians published a long paper about how and why (in English) that I have archived. Their ‘V&V’ model also has the lowest ECS in CMIP6, 1.8C—which means the climate ‘crisis’ should be cancelled. Instead, INM CM5 was treated by AR6 as an oddball outlier.

My regards to you and your gorgeous ex fiancé.

Chuck Higley
Reply to  Rud Istvan
June 13, 2026 2:51 pm

Ah, even NASA has been unable to find the “hotspot,” during over 40 years of looking. However, they have found the “hotspot” region to be gently cooling over the decades. You will never hear that from the MSM.

The ISS has needed less pushing to higher orbit during this period as the atmosphere has been contracting (cooling) and causing less drag on the ISS.

Jeff Alberts
Reply to  Rud Istvan
June 14, 2026 4:59 pm

FaIR, the simple climate model they use, is calibrated to the CMIP6 ensemble and to global mean temperature and ocean heat content.”

They’re using a physically meaningless number for calibration. What could go wrong?

strativarius
June 13, 2026 10:44 am

To quote the late and great Dr David Bellamy:

It’s poppycock.

atticman
Reply to  strativarius
June 13, 2026 1:40 pm

Bellamy, a hero of mine!

David Wojick
June 13, 2026 10:55 am

Your exact words are brilliant.

June 13, 2026 11:12 am

Willis:
Nice post! But you must work on a better story… falling off a curb?
Say, “I was saving some woman from a mugger and …” Lol.

As to model validation, add to the tropical hotspot the following: reasonably better-than-chance predictions of 1) tropical typhoon/hurricane season [number, strength, ACE, etc], 2) East African & Indian monsoons [onset, strength], and 3) ENSO [onset, strength of Nina or Nino, AND do it years in advance; not the few months before as now]. IMO doing #3 would be like finding the Holy Grail. Till then I will remain a climate crisis skeptic.

[ btw I am stealing your graphs – with attribution of course. Thx! ]

Jimmie Dollard
June 13, 2026 11:19 am

Willis, I would like to know your opinion about the position of Will Haper et al that the greenhouse gasses are saturated and are an exponential function. If true, future doubling of the atmosphere will have trivial effects and we can forget CO2 emissions and start examining the other things you discuss that affect weather. It could also free our power industry to choose best solutions not swayed by limiting CO2 emissins. It might even induce Western nations and states to abandon the net zero nonsense before the grids start to collapse. Your opinion carries a lot of weight, and the world would like to hear your opinion.

Reply to  Willis Eschenbach
June 13, 2026 1:20 pm

I think Jimmie means Lindzen-Happer-GHGs-and-Fossil-Fuels-Climate-Physics-2025-06-07-pdf

Now why has that not appeared in red?
Mod, can you make the link red, please?

Reply to  Oldseadog
June 13, 2026 1:45 pm

I just googled the title per AI and here is the answer

Lindzen-Happer-GHGs-and-Fossil-Fuels-Climate-Physics- …

CO2 Coalition
https://co2coalition.org › uploads › 2025/06 › Li…

PDF

Driving Greenhouse Gas Emissions to Net Zero and. Eliminating Fossil Fuels Will Be Disastrous for People Worldwide. June 72025. Table of Contents.Read more
46 pages

AI Overview

+4

The document “GHGs and Fossil Fuels: Climate Physics” is a study authored by physicists William Happer and Richard Lindzen, originally published by the CO2 Coalition. It argues that greenhouse gas (GHG) emissions and fossil fuel reductions will cause disastrous global economic impacts and asserts that CO₂ is a relatively weak greenhouse gas. CO2 Coalition
 +3
The paper outlines several specific climate, physical, and policy arguments:

Weak CO₂ Forcing: The authors argue that at current concentrations, the warming effect of CO₂ is largely saturated, meaning additional increases have a diminishing impact on temperature. CO2 Coalition +1Benefits of Carbon: The paper claims that increased levels of atmospheric CO₂ and the continued use of fossil fuels are highly beneficial to agriculture and human well-being. CO2 CoalitionCritique of Net Zero: The document contends that policies driving greenhouse gas emissions to “net zero” and eliminating fossil fuels are economically disastrous and ignore the natural factors influencing Earth’s climate. CO2 CoalitionNote: The arguments in this paper run counter to the mainstream consensus of major climate organizations.

Standard climate science—supported by agencies like the Department of Energy and the World Meteorological Organization—finds that anthropogenic emissions from fossil fuels are the primary driver of rapid global warming.

Would you like to explore the mainstream scientific models, or are you interested in specific critiques of these alternate climate physics perspectives?

Reply to  wilpost
June 13, 2026 7:20 pm

Weak = zero.

Sparta Nova 4
Reply to  Nicholas Schroeder
June 15, 2026 12:35 pm

Weak is near zero, but is not equal to zero.

Jimmie Dollard
Reply to  Willis Eschenbach
June 13, 2026 2:26 pm

Sorry, It took me a while to find it.

 [https://co2coalition.org/wp-content/uploads/2022/03/Infrared-Forcing-by-Greenhouse-Gases-2019-Revised-3-7-2022.pdf].

Reply to  Jimmie Dollard
June 13, 2026 12:47 pm

Here are two papers on the saturation effect:

https://climateatglance/carbon-dioxide-saturation-in the-atmosphere

Climate At Glance is a site maintained by Heartland Institute

“The Saturation of the Infrared Absorption by Carbon Dioxide in the Atmosphere” by Dieter Schildknecht

https://arxiv.org/pdf/2004.00708v1
https://arxiv.org/lab/2004.00708

The threshold saturation concentration for CO2 in dry air is ca. 300 ppmv
(0.59 g of CO2/cu. m. of air) which occurred in 1920. What this means is increasing the concentration of above 300 ppmv will not result in an increase in air temperature.

rhs
Reply to  Harold Pierce
June 14, 2026 6:12 am

First world guilt does not depend on facts. Rather, it depends on all change is bad. Therefore, there is potential our seemingly large volume of change in “greenhouse” gases must be lowered. Why? Because we must be having a negative effect. Man kind never, ever changes nature for good.

Rick K
June 13, 2026 11:20 am

Willis, I hope your face recovers soon. The important thing is keeping that amazing brain of yours intact!

MarkW
June 13, 2026 11:30 am

For those who are convinced that the recent CO2 increase was caused by temperature increases since the end of the Little Ice Age, I draw your attention to Willis’ first chart. Temperature and CO2 concentrations.
The entire Medieval warm period causes only a tiny blip in CO2 levels. Around 1100 AD about halfway through the warm period.

DMA
Reply to  MarkW
June 13, 2026 12:25 pm

I think the current rise in CO2 is the result of the Medieval warm period. The energy that got stored in the deep oceans then is now emerging. That is a much better hypothesis than assuming all of the recent rise is from fossil fuel use.

MarkW
Reply to  DMA
June 13, 2026 12:39 pm

We know approximately how much fossil fuels have been mined/drilled/etc.
If all of the fossil fuels produced were burned (a pretty good assumption) it would have been enough to create 3 times more of an increase in CO2 than has been observed.
Please tell me why assuming the vast majority of the CO2 increase has been caused by burning CO2.

Chuck Higley
Reply to  MarkW
June 13, 2026 3:06 pm

It is not. Most CO2 is from ocean outgassing, as the oceans contain 50 times the COs as the atmosphere. Volcanoes seriously emit CO2 and dwarf our emissions. It is the formation of calcium carbonate (CaCO3, precipitates in warm water, not cold, which is unusual for a salt) in the tropics as corals and concretions that are the real danger. Warm CaCO3-saturated seawater solution removes CO2 as carbonate, lowering water CO2 and subsequently atmospheric CO2. These processes are seriously working to kill life on Earth and the oceans and particularly volcanoes are our heroes. Releasing coal-sequestered carbon as CO2 and burning abiotic carbon fuels are helping save us but only a little.

MarkW
Reply to  Chuck Higley
June 13, 2026 5:27 pm

You think that the oceans warming by a couple thousandths of a degree is going to result in a massive outgassing of CO2?

If it isn’t from burning of fossil fuel, where did that massive amount of CO2 go?
If you say it went into carbon sinks, how did these carbon sinks know which molecules of CO2 came from fossil fuels and which didn’t?

Reply to  MarkW
June 15, 2026 7:47 am

If you say it went into carbon sinks, how did these carbon sinks know which molecules of CO2 came from fossil fuels and which didn’t?”
By their C isotope composition. The steady reduction in the C13/C12 ratio in the atmosphere indicating that the increase in atmospheric CO2 is from burning of fossil fuels.


Bob Weber
Reply to  MarkW
June 13, 2026 2:01 pm

The temperature anomaly range is quite small in the first chart, even though it looks impressive, and what were the absolute temperatures during the period?

There was a negative growth period in the Law Dome CO2 data during the Maunder Minimum at the depth of the Little ice Age, even after the ocean was so cold for so long the biosphere and ocean had sunk any extra CO2, keeping it flat for centuries.

The more important clues are in the second chart where CO2 roughly follows temperature. The current lower CO2 level is after a significant temperature decline through and after the Tertiary, similar to the Carboniferous period with it’s low CO2 levels and temperatures.

Those are basic indicators of the temperature dependence of atmospheric CO2.

Chuck Higley
Reply to  Bob Weber
June 13, 2026 3:14 pm

The estimate from ice core extraction and micro-fracturing during depressurization is that 30 to 50% of the contained gases are lost, making the gas readings not valid and not comparable with Mauna Loa direct readings. However, if one back calculates a 40% loss in ice core data, we find CO2 to be the same or (much) higher than now over most of the record. The 250 ppm CO2 we had in the 19th-20th centuries was alarmingly low as plants start to fail at 200 ppm CO2. They make our oxygen such that they need more CO2 not less, regardless of any negligible warming that might occur.

Loren Wilson
Reply to  Chuck Higley
June 13, 2026 7:38 pm

Here is an opportunity to use verification and validation of the analytical technique for examining ice cores. I was an experimentalist for most of my career. The first thing you do when you devise a new method and apparatus to measure a property of a mixture of chemicals is to run a system where you know the answer. A professor at Georgia Tech described to me and several colleagues how he did this. He was an expert in measuring thermal conductivity of liquids. He invited all the active researchers to participate in a round-robin.

He sent out two test samples. One sample was toluene, for which there is good agreement for the liquid thermal conductivity. The second was a mixture of two alkanes (think heptane or octane). Everyone got ±10% of the agreed value for toluene. Results were ±25% for the mixture. They could get the right answer when they knew what it was. They could not get the same answer as everyone else on the unknown mixture. This means that their technique was only accurate to ±25%, regardless of what they claimed.

Do the ice-core people make up a standard to test? What kind of recovery do they get? They have to show these tests and their results if they want to claim any V&V.

starzmom
Reply to  Loren Wilson
June 14, 2026 6:20 am

I seem to remember those sorts of results from my organic chemistry lab classes. I always thought there was something wrong with everything I did.

MarkW
Reply to  Bob Weber
June 13, 2026 5:29 pm

In the second chart, time is measured in millions of years. In the first it is measured in decades.

Bob Weber
Reply to  MarkW
June 13, 2026 6:41 pm

The length of time under warm or cold extremes effects the quantity of CO2 outgassed or sunk, for example CO2 concentrations in the thousands of ppm happened while temps were high for millions of years prior to the Carboniferous.

MarkW
June 13, 2026 11:37 am

The idea that we know what the temperature of the entire planet was back in 1850, with 2 decimal places of accuracy is so ludicrous, that only a climate scientist could believe it.

We had only around 100 sensors, almost all of them either in Europe or the north Atlantic seacoast of the US and Canada.
A smattering of stations in Asia and one or two stations in the entire southern hemisphere.

Also these sensors were analog meters that were read by eye and recorded to the nearest degree. Not tenths of a degree, not hundredths of a degree, but whole degrees.

sherro01
Reply to  MarkW
June 14, 2026 3:08 pm

And those early measurements in places like Australia were in Fahrenheit, so that an error is caused when converting to the now-common Celsius. There is also a change in resolution, because a range of any 10 degrees C in whole numbers has 10 numbers but the same range in degrees F has 18 numbers. Geoff S

MarkW
June 13, 2026 11:40 am

Willis, have you ever considered a post regarding the difference between weather models and general circulation models. There seems to be a lot of confusion regarding the difference.

Reply to  MarkW
June 13, 2026 12:12 pm

Not WE, but can give some basic distinctions.

In principle, both weather and climate models are similar regarding the math and physics.

In reality, there are three big important differences.

  1. Weather models only compute the atmosphere, not also the other five ‘spheres’ Willis noted must also be in a climate model. So much simpler.
  2. Because only local/regional and also point 1, they use grids as fine as 2km while remaining computationally tractable with a ‘run’ in a matter of a few minutes, not the two months per run for a typical climate model.
  3. Because of point 2, they are initialized with actual observational weather data rather than having to be parameterized—so much closer to ‘reality’.
Kevin Kilty
Reply to  Rud Istvan
June 13, 2026 12:57 pm
  1. Weather models only compute the atmosphere, not also the other five ‘spheres’ Willis noted must also be in a climate model. So much simpler.

The other five operate on such slow dynamics they look constant to a ten day weather forecast. Yet, seasonal forecasts probably should take into account the state of the cryosphere and hydrosphere. I know they take such into account, but I don’t much about their models nor how successful their models are.

Reply to  Kevin Kilty
June 13, 2026 1:33 pm

KK, correct on both counts. And seasonal forecasts show no skill. I just checked. Google AI US examples include summer Atlantic hurricanes and winter regional total snowfall.

Kevin Kilty
Reply to  Rud Istvan
June 14, 2026 9:32 am

You have farmed in Wisconsin and I have on the Western Great Plains. Imagine how useful an accurate 90 day forecast would be. Save us a lot of money and trouble.

MarkW
Reply to  Rud Istvan
June 13, 2026 5:37 pm

True, but there are other differences.

Weather models take current conditions and try to iteratively forecast them forward using relatively short time periods.
The better current conditions are known, the better the initial iterations are.
Also the better you have modeled the physics, the more accurate each iteration is.
With weather models the errors in initial conditions compound over time.
With weather models, the errors caused by errors in physics modeling will compound over time.

With global circulation models, initial conditions are less important because their goal is to calculate steady state “average” conditions based on assumed steady state inputs.

What bugs me are the people who assume that there is no difference between the two, and GCMs are nothing more than weather models that have been run for 100 years.

don k
Reply to  Rud Istvan
June 14, 2026 2:42 am

And one other difference. Feedback. Weather modelers have had many millions of opportunities to compare their predictions with reality and tweak their models. Result? Pretty good modelling. (Although they still have some difficulty predicting exactly when and where tropical cyclones will make landfall and how strong they will be at landfall.)

Climate modelers? Pretty much no meaningful feedback. Result? Hubris. In a few centuries, the models might have some actual “skill”. Maybe in a few millennia they might be pretty good. Or not.

MarkW
Reply to  don k
June 14, 2026 8:38 am

If weather models can help us figure out the physics of weather, that knowledge can be used to improve climate models. Assuming accurate forecasts is actually the climate modelers goal.

DarrinB
June 13, 2026 11:58 am

My dad was an amateur meteorologist, aka farmer whose living depended on knowing what the weather was going to do. He had a better record predicting the weather then our local TV meteorologist using “models”. That right there told me that our models are not very good. If we can’t model what the weather is going to do that day let alone over the next couple days accurately then how can we model climate?

Reply to  DarrinB
June 13, 2026 1:01 pm

Actually, current weather models (ECMF, GFS) now have high ‘skill’ out to about 5 days. There are three different ‘hard’ skill metrics, with some different results between them. Google provides a nice AI overview.

And the CMIP6 record shows we cannot ‘accurately’ model climate. The intractable basic reason is the CFL constraint on PDE numeric solutions forces parameterization, which drags in the attribution problem that climate modelers just assume away.

real bob boder
Reply to  Rud Istvan
June 13, 2026 4:02 pm

I disagree, I think they just say they do. I agree with Darren, in fact I strongly believe weather prediction was better 40 years ago. I look at weather prediction for both my job and the several sports teams I coach and rarely can you trust more than 48 hours out.

MarkW
Reply to  real bob boder
June 13, 2026 5:39 pm

Are you saying that the people who pay big money for accurate forecasts haven’t noticed that weather models have been getting worse over time?

Jeff Alberts
Reply to  real bob boder
June 14, 2026 5:05 pm

I agree, Bob. I haven’t seen better forecasts. Maybe they’re secret.

MarkW
Reply to  Rud Istvan
June 13, 2026 5:40 pm

When I was a kid back in the 60’s, nobody did forecasts more than 3 days out, and the 3rd day was so so.

Tom Johnson
Reply to  MarkW
June 14, 2026 4:04 am

When I was a kid, back in the 50s, the most accurate forecast was to “look outside and say ” that’s what it will be like tomorrow”. They’ve certainly gotten better than that, but some of that has come from changing the forecast several times a day.

Jeff Alberts
Reply to  MarkW
June 14, 2026 5:05 pm

IMHO, it’s pretty much the same now.

Reply to  Rud Istvan
June 14, 2026 10:27 am

A not-discussed element of the parameter problem is that disparate suites of parameters will all allow a model to reproduce past climate observables – statistically skillful hindcasts.

But the alternative parameter suites produce a spread of model sensitivities and divergent air temperature projections.

Attribution is currently impossible. So is detection.

Reply to  DarrinB
June 14, 2026 5:27 am

I think the weather models have gotten better, but only a little.

Weather is auto-correlated. That is, today will likely be like yesterday, and tomorrow will be like today. That is essentially a 50 – 50 chance of being correct. In summer and winter, temperatures don’t change much day to day. In spring, tomorrow is likely warmer than today. In fall, tomorrow is likely cooler that today.

It is difficult to beat the use of auto-correlation in predictions of one or two days in the future.

Reply to  Jim Gorman
June 15, 2026 7:32 am

I think the weather forecasts have gotten better at predicting precipitation amounts and wind velocities *IF* the weather progresses as forecasted. In a forecast of 70% chance of rain with 1″ of precip and 15-25mph winds they get the rain and wind pretty close. Whether it actually happens, especially on a county-size area, is where the 70% is many times misunderstood. It just means more likely than not, kind of like betting on the “sure” winner by using past performance. Sometimes the long shot wins.

Curious George
June 13, 2026 12:59 pm

In addition to all the uncertainties in the models, there is one more problem – model processing in computers. Computers use finite precision representation of numbers, and many operations introduce a small error – like, is an exact one, divided by an exact three, 0.33 or 0.34? Repeat million times (one second of a supercomputer time), and your result may be very wrong.

Sixty years ago, Professor Karl Nickel’s group at the University of Karlsruhe, Germany, developed a “triplex arithmetic” to solve the problem. A number is represented by triple of numbers – a lower bound, a standard result, and an upper bound – for example, 3*(1/3) becomes [0.99, 1.0, 1.02]. The difference of bounds is a pessimistic bound of the error of computation. The standard result is used to verify the computation against results of ordinary computers. To do it right we would have to develop an arithmetic unit working with triplex numbers – not a difficult task; otherwise the calculation would be painfully slow. I suspect that in most climate models we would see a fast divergence of lower and upper bounds.

Chuck Higley
Reply to  Curious George
June 13, 2026 3:17 pm

Hmmm, triplex arithmetic sounds like fuzzy math.

MarkW
Reply to  Curious George
June 13, 2026 5:42 pm

As computer data paths get wider, floating point arithmetic gets more accurate.

Reply to  MarkW
June 15, 2026 7:40 am

Official order of magnitude metric nonsense.”

Ummm…… I wouldn’t class it as more accurate. Higher resolution maybe, but the accuracy is based on the accuracy of the components used for input. .333333 may be higher resolution than .3333 but if the “true value” was actually .34, the higher resolution didn’t increase the accuracy of the result.

It may reduce “rounding” uncertainties in interim calculations, but it can’t be used to reduce overall measurement uncertainty which is based on instrument resolution.

Erik Magnuson
Reply to  Curious George
June 13, 2026 8:49 pm

Sun Microsystems was looking into implementing “triplex arithmetic” into their hardware ca. 2000. They had a different name for it, IIRC interval arithmetic.

Reply to  Curious George
June 14, 2026 5:32 am

This is essentially measurement uncertainty. I know I harp about this all the time, but it really comes home to roost with what you are discussing. There is a world of knowledge about how to develop uncertainty and to propagate it meaningfully. Dr. Pat Frank has papers about this that show outputs (and inputs) of models are pretty much meaningless. One can’t even determine the correct sign, let alone correct value to decimal precision.

MarkW
Reply to  Jim Gorman
June 14, 2026 8:48 am

This has nothing to do with measurement uncertainty. It’s the fact that floating point arithmetic is actually an approximation of reality. The mor bits you through at it, the closer the approximation is.

One thing they teach you when working with floating point numbers, is to never, ever use tests for equality.
The problem is that floating point numbers are always being either rounded or truncated, The more bits in your data path, the less significant this rounding is, but it will always be there.
Every time you do an operation on a number, the larger the error due to rounding becomes. Both weather and climate models do thousands to millions of calculations on their numbers.

sherro01
Reply to  MarkW
June 14, 2026 3:24 pm

Mark,
Even the process of division of numbers in floating point is approximate. Errors can compound unknowingly and are plausibly untested in some large, complex numerical calculations. Computers store fractional data in binary base 2 instead of base 10, causing rounding errors converting bases. Many explanations on the Net.
Geoff S

Reply to  MarkW
June 15, 2026 7:46 am

You can’t reduce measurement uncertainty that is fixed by the measuring system. You can reduce computational error that adds to the input measurement uncertainty, but the measurement uncertainty is the final arbiter of significant digits. You can’t increase resolution by calculating out to additional decimal places. That’s just saying you can see into the Great Unknown. I saw a couple of hucksters doing that at the renaissance fair we just had here. Climate science does a *lot* of this with their cloudy crystal balls.

June 13, 2026 1:11 pm

 In paleo times, in general, the planet has been warmer, and sometimes far warmer, than today. Why? Well … we have no clue.

Unless you understand that the surface temp for ~70% of the Earth is set by the deep ocean temperature plus the 15-20K the sun can add to that.
Those deep ocean temperatures are set since their boiling start by the amount of geothermal energy that enters them minus the energy that is lost to atmosphere/space at high latitudes.
Just look for large magmatic eruptions into the oceans and see the correlation with increasing temperatures.

MarkW
Reply to  Ben Wouters
June 13, 2026 5:44 pm

You do realize that the amount of heat entering the deep oceans from inside the earth is very, very small, compared to the size of the planet?

MarkW
Reply to  MarkW
June 13, 2026 7:41 pm

Approximately 0.027%

Reply to  MarkW
June 14, 2026 2:52 am

You do realize that the amount of heat entering the deep oceans from inside the earth is very, very small, compared to the size of the planet?

Fully. Geothermal Flux through the ocean floor is ~100 mW/m^2, enough to warm the entire average ocean column 1K every ~5000 years.
Every liter of water warmed at the ocean floor has to travel mostly to Antarctica before it can reach the surface to release that energy and sink again to the bottom.
As long as the energy-in equals energy-out the deep oceans will maintain their temperature and make it possible for the sun to add an additional 15-20K to create our surface temperatures.
Now imagine a glacial with extended surface ice making it impossible for bottom warmed water to reach the surface anywhere. Every ~5000 year the deep oceans warm 1K, nicely explaining the strange (off Milankovitch) glacial/interglacial cycles.

MarkW
Reply to  Ben Wouters
June 14, 2026 8:53 am

You are assuming that the only way the oceans lose heat is at the poles. Water is a very good conductor of heat as a result, heat can also move straight up the water column, via convection and be lost to the atmosphere almost immediately.

Additionally, it takes less than 1000 years for the oceans to overturn.
That’s where the 900 to 1000 year lag for CO2 vs temperature lag comes from.

Reply to  MarkW
June 14, 2026 12:46 pm

Water is a very good conductor of heat as a result, heat can also move straight up the water column, via convection and be lost to the atmosphere almost immediately.

Water warmed at the ocean floor is still (much) colder than the hot surface water, so can not reach the surface, except at places where the surface is cold enough. This is ONLY at high latitudes.

Pacific
Reply to  MarkW
June 16, 2026 4:28 am

Water is a very good conductor of heat as a result, heat can also move straight up the water column, via convection and be lost to the atmosphere almost immediately.

If someone reacts to the nonsense you have written and explains the actual situation, it would be polite to at least acknowledge the reply.
Might actually result in a discussion and some learning.

June 13, 2026 1:12 pm

Harold The Organic Chemists Says:

Shown in the chart are plots of the annual seasonal temperatures and plot of the annual average temperature at the Furnace Creek weather station in Death Valley from 1922 to 2001. In 1922 the concentration of CO2 was 303 ppmv (0.60 g CO2/cu. m. of air, and by 2001 it had increased to ca 371 ppmv (0.73 g CO2/cu. m. of air) but there was no increases in air temperatures. This is due to the saturation the absorption by CO2 of the out-going long wavelength IR light emanating from the desert surface. The threshold for the saturation effect is 300 ppm for CO2. This occurred in 1920. Note how little CO2 was in the air.

If you click on the chart, it will expand and become clear. Click on the “X” in the circle to contract the chart.

death-vy
Reply to  Harold Pierce
June 13, 2026 2:42 pm

Thanks for tellin’ us how to use the Interwebby things.

Reply to  Charles Rotter
June 13, 2026 9:16 pm

Once again Charlie shows his love of petty, unwarranted sarcasm.

J Boles
June 13, 2026 1:32 pm

One thing goes counter to my intuition, that C02 was not that high during the carboniferous when the coal beds were made, it would seem that plants would be gulping down plentiful food C02 where it ended up underground as coal. Go figure, shows you what I don’t know. Just what happens to make a 90 foot thick coal seam? (Powder River)

Reply to  J Boles
June 13, 2026 2:03 pm

I just checked. At the Carboniferous onset, estimated to be 1200 ppm. At the end ‘only’ 350, about where we are today. So plants were ‘gulping’ CO2 to produce coal.

Two interesting Carboniferous factoids. Onset ~ 350mya corresponded with evolution of lignin, which enabled cellulosic plants to grow large and tall. Ended ~300 mya with evolution of ‘white fungus’ decomposing lignin, which enabled more rapid overall plant decomposition. More a biological than CO2 ‘window’.

jshotsky
Reply to  J Boles
June 13, 2026 4:18 pm

One has to wonder why plant material didn’t simply decompose as it does today. It bears great importance, since the ‘theory’ is that plants simply didn’t decompose as they do today, and remained as plants until ‘pressurized’ into coal. That dog don’t hunt. Hint: Methane deep in the earth.

MarkW
Reply to  jshotsky
June 13, 2026 5:48 pm

As Rud said, lignite didn’t “rot” until white fungus developed to break it down.
There is no “deep methane”.

don k
Reply to  jshotsky
June 14, 2026 3:12 am

jshotsky: Most plant material probably did decompose even in the Carboniferous. But decomposition depends on access to Oxygen. As it happens, peat bogs have little or no free Oxygen. So the theory — which seems plausible — is that plant remains finding their way into deoxygenated lakes form peat. If the peat is subsequently buried, it can be compressed into lignite then into bituminous coal. Given sufficient heat and pressure, it may even progress to anthracite coal.

Thick coal deposits aren’t restricted to the Carboniferous. The coal beds of North America’s western plains are Cretaceous. Much of Australia’s coal is Permian. China’s coal is mostly Permian and middle Mesozoic.

June 13, 2026 1:49 pm

Willis,
I appreciate great articles about modeling and this was one of them. THere certainly aren’t enough, especially about climate modeling. Maybe the main reason is protection of funding or rent seeking as it is known.
My own experience started with hi-fidelity emulators. For example 4 of us worked on a commercial product emulating a Z80 CPU until we were able to boot CP/M and run SuperCalc and WordStar and finally MS Dos on a DECSystem 10/20 and VAX. Another one for the Coast Guard involved digitizing Morse Code (which was used to communicate alerts and reports to light houses) into ASCII text. That ended up using a combination of Fourier analysis and hysteresis loops to analyze an operator’s “Fist” to correctly interpret the dit-dah code in real time. Also spent time validating transportation gravity models for the FHWA. Not as much fun as you have to wait 20 years to see if you actually hit the side of the barn…

Chuck Higley
June 13, 2026 2:45 pm

I still do not understand how IR from the cold upper tropical troposphere can warm the hotter Earth’s surface. It cannot “tend” to warm, just no.

Reply to  Chuck Higley
June 13, 2026 3:57 pm

Chuck, a belated reply. You probably misunderstand the basics of ‘GHE’.

It is not that ‘back radiation’ warms the surface. It cannot from first principles since ‘heat’ flows from hot to cold always as a simple application of mathematical statistical mechanics (with ‘heat’ defined as degree of molecular agitation), proven many times experimentally.

It is that the scattered ‘back radiation’ retards the ‘Heat’ IR from finally escaping to space at the so called ERL (effective radiation level), which varies by latitude but is somewhere below the tropopause owing to the lapse rate effect on specific humidity (the major GHG). Retardation means the atmosphere must accumulate IR ‘heat’ over time. Explained with illustrations and footnotes in an essay in my ebook “Blowing Smoke”.

An exact analogy is a good ordinary blanket in winter. It ‘warms’ you only because it slows your heat loss. It doesn’t ever heat you. CO2 is a poor atmospheric ‘blanket’. Water vapor is a good atmospheric ‘blanket’.

Reply to  Rud Istvan
June 13, 2026 5:50 pm

Should have added a ‘heat’ sub explanation. GHG molecules work by absorbing IR, which causes them to ‘vibrate faster’, aka ‘heat’ defined as molecular mechanical agitation. (Sub factoid—CO2 vibrational mode is along the linear O-C-O axis, the H2O vibrational mode is rotational around the ‘mickey mouse ears’ H-O-H axis.) That additional vibrational ‘heat’ can be transferred to adjacent non-GHG molecules by contact. Hence general atmospheric ‘heating’.

The simplistic skeptic argument that CO2 is a sufficiently low concentration that it cannot heat is just wrong. CO2 increases its ‘vibration’ when it absorbs IR— a fact proven experimentally in 1859 by Tyndall. And it coexists with O2 and N2 which do not—but get ‘heated’ by physical proximity as they go from less to more agitated by physical contact with more IR agitated CO2 molecules.

sherro01
Reply to  Rud Istvan
June 14, 2026 2:05 am

Rud,
In my decades of confusion I have sought assistance about the fundamentals of Earth’s atmospheric temperature. I have mentally tried to find examples of two classes of mechanisms. First is mechanisms that change temperatures up and down from a long term baseline, to which they soon return. An example is rotation which causes cold nights and hot days, but has not been accused of a latent existential catastrophe. Second is a mechanism that changes temperatures from one long term baseline to another. An example, not universally accepted, is greenhouse gases whose long term change is alleged to cause a more or less permanent new steady state once GHG concentrations steady.
Assuming for argument that there are indeed these two mechanisms, the question becomes semantic, like how does Earth know how to classify and respond? How does Earth know that corrective feedbacks have to start because it is class two?
I did a light study of typical old steam engine governors that can change energy output by feedbacks to achieve steady states over time, using a man-made set point concept. Then looked at the human body temperature, remarkably similar all over the world around 37C. Has anyone found a governor equivalent and is there a set point in evidence? Research points to a mechanism in some part of the brain, but I did not find any mention of a biological device that issued a signal when temperatures were too high or low. There was some evidence not of a set point like 37.0C, but a range of temperatures which caused signals when boundaries were exceeded. Third part of this thinking aloud study was global temperature regulation. It did not seem to be a governor type. There seemed to be different mechanisms in air over water versus land (versus ice?).
Rud or other readers, am I off track proposing earth has two classes of mechanisms, one which causes quick returns to a long term baseline normal and another that causes a baseline change? For second class that might include GHG, what further mechanisms do cause (not might cause) baseline change apart from GHG? I think this is important to systematise because of current heavy promotion of a catastrophic GHG mechanism, when several other competitors might be present but downplayed.
If the instruments are valid, if the math of conversion from temperatures to warming is valid, if there is actual global warming happening now, what could be the cause(s) if not GHG? It is not enough to say ‘recovery from an ice age’.
Geoff S

Reply to  sherro01
June 14, 2026 6:46 am

Geoff, you are missing a component here. The actual process is:

Sun -> ocean/land -> atmosphere

Climate science concentrates on Sun -> atmosphere which will never provide a functional relationship. Concentrating even further on time series of temperature will never identify the component relationships that actually create temperature.

I have decided that in the time left to me, to concentrate on how insolation affects the land surface. One of the first things I identified is that the oceans and land probably have different albedo factors, primarily because insolation penetrates far into the ocean. If “we” can’t find a functional relationship for how the first step in the process works, the accuracy of the second step just can’t be determined.

Reply to  Rud Istvan
June 14, 2026 5:46 am

GHG molecules work by absorbing IR, which causes them to ‘vibrate faster’, aka ‘heat’ defined as molecular mechanical agitation. (Sub factoid—CO2 vibrational mode is along the linear O-C-O axis,”

The vibrational mode of CO2 most active in the atmosphere is the bending mode not along the linear axis.
https://www.chem.purdue.edu/jmol/vibs/co2.html

Reply to  Rud Istvan
June 15, 2026 8:22 am

Retardation means the atmosphere must accumulate IR ‘heat’ over time.”

Respectfully, no.

What you are describing is “slower” cooling of a system. Cooling is a process of losing JOULES, i.e. energy, not temperature.

I’ve posted this primitive graph before. If cooling slows, it actually increases the area under the temperature profile curve *upward* because you get more radiative heat loss over time because of the higher temperatures involved.

“An exact analogy is a good ordinary blanket in winter. It ‘warms’ you only because it slows your heat loss. It doesn’t ever heat you.”

You would be correct if the earth’s heat loss were conductive but that’s not the case with the earth. There just isn’t anyplace for the system known as the earth to conduct heat to.

Now, you might change the temperature of the earth slightly because it does move some heat into the atmosphere by conduction and adding CO2 will change that gradient between the earth and the atmosphere. But I suspect that is pretty darn small compared to the radiative heat loss. So the temperature change will be pretty darn small also.

exponential_decay_fast_vs_slow_cooling
John Hultquist
Reply to  Chuck Higley
June 13, 2026 4:18 pm

Chuck,
Might I suggest you are in the saddle backwards. The “cold upper ….” has nothing to do with the energy of the photon. Infrared is part of electromagnetic radiation (EMR) with wavelengths longer than that of visible light but shorter than microwaves. If you are in sunlight you will feel being warmed by the radiation passing through 93 million miles (150 M km) and any that strikes you after randomly bouncing around in the Earth’s atmosphere. I don’t think it is proper to associate a temperature with a single photon.
{Then there is the exchange of motion as molecules collide.}
Smart ones here may wish to adjust my simple statement. 

MarkW
Reply to  John Hultquist
June 13, 2026 6:12 pm

A photon has a frequency. It’s frequency is determined by the amount of energy an electron needs to lose in order to drop from a higher shell to a lower one. The higher the frequency, the more “energy” a photon has.
To move from a “lower” shell to a “higher” one, an electron needs to absorb energy. It gets this energy by a absorbing an electron of a specific frequency.

Reply to  MarkW
June 14, 2026 7:45 am

“To move from a “lower” shell to a “higher” one, an electron needs to absorb energy. It gets this energy by a absorbing an electron of a specific frequency.”

Not true. It gets this energy by a absorbing photon energy of a specific frequency.

For any given neutral atom, an electron increases shell energy level by absorbing some specific amount of energy from a photon having that amount of energy or more. If an electron bound in any one of an atom’s electronic shell levels caused the absorption of another electron, then the neutral atom would become a negatively-charged ion.

Reply to  ToldYouSo
June 15, 2026 8:25 am

You have it correct. Any “left-over” energy from absorbing a quanta of energy from an EM wave will just get converted into something else, e.g. kinetic energy of the molecule among others.

MarkW
Reply to  Chuck Higley
June 13, 2026 6:02 pm

All matter emits photons when it’s temperature is above absolute zero.
The frequency of the photon depends primarily on the temperature of the matter doing the emitting.

Atoms and molecules absorb photons. The frequency of photons that they can absorb is governed by the energy levels of the electrons in the atom/molecule.

Whether a photon is absorbed is independent of the the temperature of the emitting and absorbing matter. The second law talks about average flows, it does not concern itself with individual photons.

A warmer object is going to emit more photons than does a colder object, hence the total amount of energy from the warmer object is greater so the net flow is from the warmer to the colder.

Reply to  MarkW
June 15, 2026 8:02 am

“Atoms and molecules absorb photons. The frequency of photons that they can absorb is governed by the energy levels of the electrons in the atom/molecule.”

The frequency of the photons absorbed is determined by the electronic/vibrational/rotational energy levels of the absorbing molecule, in atmospheric CO2 that’s principally molecular vibrational levels.

ferdberple
June 13, 2026 2:48 pm

Every program with more than 1 line of code contains at least 1 undiscovered bug.

ferdberple
June 13, 2026 2:50 pm

What is changing is the length of time we have been collecting high quality climate data. Every year that passes the quality gets less and less.

hdhoese
June 13, 2026 3:05 pm

My coffee was Community from Baton Rogue, our sons nursed a pet racoon until it escaped and got shot, and I quit blaming geriatric idiocy for the incredible, unbelievable mistakes I read, my own of course corrected. A very few are ‘honest’ in at least saying their work doesn’t need validation. Who has been teaching statistics? One son recently had a still teaching college professor friend recently tell him about how worried he was about incompetence. 

I used to have coffee with a now passed at 98 civil engineer who similarly worried about the same in his field. I found this useful, should be required reading, especially in the ‘social sciences,” but including biologists, especially those using ideas like “oyster reef engineers.” 
Oberkampf, W. L., T. G. Trucano and C. Hirsch. 2003. Verification, validation, and predictive capability in computational engineering and physics. Sand Rept. Sand 2003-3769S. Sandia National Laboratories. 92 pp.
Fortunately, toxicologists used to know this. 
Cairns, J., Jr. 1986. What is meant by validation of predictions based on laboratory toxicity tests? Hydrobiologia. 137. 271-278. https://doi.org/10.1007/BF00004241
And there is hope in the wetter crowd. 
Cole, C.A. 2016. HGM: A call for model validation. Wetlands Ecol. Manag. 24, 579–585. https://doi.org/10.1007/s11273-015-9467-6.

Phillip Chalmers
June 13, 2026 3:57 pm

I am in my ninth decade and infirm, but not helpless. It is my intention to do at a local level what I can.
I intend to cherry-pick articles like this and send them to the Librarian in Canberra, urging that the elected members should be informed properly whenever they are called upon to vote on an issue involving man-made global warming.
I can do this with my state Parliament, which is NSW too.
Then I will, one by one, recommend each elected member that they consult the Parliamentary Librarian for up to date valid and verified information.
Anyone else, anywhere else, able to find the time to do the same in your neck of the woods?

jshotsky
June 13, 2026 4:11 pm

The one very simple test that every climate model should have to use to validate the models is simple. Starting 100 years ago, show how the 1930’s heat, the 1960’s cold and now the 2000’s warming are able to be reproduced by the models. We all know they can’t. We all know CO2 has risen, but we should understand that the climate has its own methods, and we don’t understand them yet. As far as I know, every climate model has warming due to CO2 built in, and thus cannot ever reproduce nature.
And – I have slipped on ice to achieve my racoon look…Total faceplant on wood deck, near some serious gardening tools. Those are now where they belong…

June 13, 2026 4:23 pm

Reconstructions like the Ljungqvist study below show a general pattern: a relatively warm Medieval Climate Anomaly somewhere around 900–1200 CE, followed by a drawn-out cooling into the so-called Little Ice Age, with minimum temperatures roughly in the 17th–18th centuries, and then a warming into the 19th and 20th centuries.

The data used for temperature anomalies in that Ljungqvist study stop in 1999. That’s nearly 30-years ago.

Based on the 1961-1990 anomaly base, GISS NH, for example, reached 1.6C as recently as 2024, which would be way off the vertical scale of that Ljungqvist chart.

How does that observation fit with your theory of regular cooling and warming?

Reply to  TheFinalNail
June 13, 2026 11:18 pm

GISS is a fabrication from a whole bunch of totally unfit for purpose 2m surface sites, combined with unknown below sea surface measurements from random ocean ships using bogus methodology.

It is basically meaningless. !

Reply to  TheFinalNail
June 14, 2026 6:15 am

How does that observation fit with your theory of regular cooling and warming?

The point Willis was making is apparently lost on you. You should be looking at the handle of the CO2 hockey stick and wondering how the cooling and warming happened then when CO2 wasn’t a factor.