Graph vs. Graph = Political Journalism

Guest essay by C.R. Dickson

Most people have no trouble relating to temperature, because they use it every day when they set the thermostat in their homes, adjust the temperature dial on an oven, or watch a weather report on TV. On the other hand, practically no one recognizes a temperature anomaly, the yardstick for measuring man-made global warming. That’s because outside of climate studies, no one uses it.

A temperature anomaly is the difference obtained by subtracting an average temperature from real temperature data. Climate studies work with anomalies instead of real temperatures because anomalies are assumed to be more accurate over large geographical areas (see note 1). The rapidly rising graphs of temperature anomalies also conveniently dramatize catastrophic global warming.

So it’s easy to see why a few journalists made a big fuss over a very flat looking graph of average global temperatures posted in a tweet from the National Review. The graph in Figure 1 below (see notes 2 and 3) is like the one displayed in the tweet.

DicksonImage1

This graph supposedly hides global warming because the small increases in temperatures aren’t obvious. An online article in The Huffington Post stated it was an improper visualization that makes “just about anything seem stagnant,” and The Fix at The Washington Post complained that “it is misleading” because it “hides the actual change in temperatures.” Also online, Business Insider said the graph zooms “out so much that it makes it seem like global average temperatures haven’t changed at all.”

Of course, the journalists decided the temperature graph was up to no good, and they countered with their own graphs of the national debt and the Dow Jones Industrial Averages. It was graph vs. graph on the way to the world’s end.

With a bit of an effort, it’s easy to discover that the temperature changes are identical for both global temperature anomalies and for global temperatures (see note 4). The difference is that the graph of the anomalies is a magnified view, not a normal one.

Magnification doesn’t change the object you are viewing; it just lets you see more details. A blood cell or a microbe doesn’t get any bigger when it’s magnified; it only looks larger.

For example, the normal view of a piece of glass shown in Figure 2 appears to be very smooth. As can be seen in Figure 3, the magnified view has numerous peaks and valleys making the surface look rough, not smooth. Although the imperfections seem larger in the magnified view, they are the same size as in the normal view.

DicksonImage2-3

The same thing happens with reconstructed temperatures and temperature anomalies. When you magnify the average global temperatures in Figure 4, the unseen changes become visible, as Figure 5 clearly shows.

DicksonImage4-5

Fortunately, people normally do not use a magnified version of the world to proceed with their daily lives. That’s why no one drives down a highway guided by a microscope magnifying the road’s surface. For the same reason, weather forecasters use the real temperatures instead of magnified temperature anomalies.

Because it’s so difficult to observe man-made global warming, some experts at NASA GISS believe the accuracy of climate models requires a one hundredfold increase in order to see the small amount of warming.

“A doubling in atmospheric carbon dioxide (CO2), predicted to take place in the next 50 to 100 years, is expected to change the radiation balance at the surface by only about 2 percent. If a 2 percent change is that important, then a climate model to be useful must be accurate to something like 0.25%. Thus today’s models must be improved by about a hundredfold in accuracy, a very challenging task.”

A paper by Graeme Stephens et al. in Nature Geoscience also shows how hard it is to find global warming. They reported the uncertainty in the earth’s warming imbalance as 0.6 watts per m2 ± 17 watts per m2. The enormously large uncertainty in this very small number means that it is difficult, if not impossible, to observe. Just like NASA said it was!

DicksonImage6
Figure 5

But how small is this imbalance? It’s only 0.06 percent of the 1,000 watts per m2 of sunlight falling on the earth’s surface at noon. Another interesting comparison is that 0.6 watts per m2 is like a small AA battery discharging over a few hours (see Figure 5). Consider this: Little batteries that turn on televisions do not power hurricanes.

Small numbers with large error bars, combined with excessive averaging, is a recipe for ambiguous results. The reaction to the temperature graph is a perfect example of how political motivations can twist ambiguities into disagreements. Confusion is created by using temperature as if it were the same as an anomaly, but somehow the temperature graph is misleading while the anomaly graph is not. What is hidden is the fact that both graphs display no real temperature data.

Fortunately, unambiguous data is the cornerstone of scientific research. If independent researchers cannot obtain the same answer, then there is something wrong with the data, the experiment, or both. Speculations, theories, and hypotheses come and go in science, but good data lasts forever. That is why catastrophic man-made global warming, like all consensus “science,” will eventually go the way of phlogiston, spontaneous generation, and luminiferous ether.


NOTES:

1. Hansen et al. discusses using anomalies instead of actual temperatures, and there is some limited information on errors. Hansen also complains about talk shows, politics, public perception, and the news media on pages 20-23. Real Climate talks about temperature and anomalies and for additional discussions go here, here, and here.

2. The graph in the tweet showed up in a WUWT comment here. Additional comments led to this site . The graphs in Figures 1, 4, and 5 are in degrees Fahrenheit because that’s what the National Review graph used.

3. The NASA GISS tabulated values were updated in the process of making the above graphs. A large number of historical values were changed without explanation making the tabulated values a moving target.

4. To create temperature anomalies NASA GISS takes real-world temperatures and subtracts a subjective “best estimate for the global mean for 1951-1980,” which is calculated to be 14 degrees Celsius, or 52.7 degrees Fahrenheit. The temperature changes (ΔT) for both graphs are the same because one graph is offset from the other by a constant 52.7 degrees F.

5. The solar irradiance is for AM 1.5 (approximately 48.2 degrees zenith). A value of 3.9 watt hour (14 kilojoules maximum energy) is typical for 1.5 volt AA battery discharging at a 50 mA drain. (0.6 watts / m2) x (6.5 hour) = 3.9 watt hour / m2.

ABOUT:

C. R. Dickson is a retired chemist and physicist with a Ph.D. from Columbia University. He has worked for Polaroid, Allied Chemical, RCA, and the Solarex Thin Film Division, a solar cell company formed as an RCA technology spinoff. He also served as a scientific advisor to the United Nations Industrial Development Organization in Vienna, Austria.

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björn from sweden
January 12, 2016 4:14 am

I agree, the graph (-10 to +110) is misleading and confusing.
There is no guiding grid, or scale on the right side, that allows you to read where the temperature graph lands. Can you tell if there is an incline, decline or standstill in the series?
Very bad.

hrun
January 12, 2016 5:34 am

Clearly the only way to reasonably graph earth temperature changes is to scale it according to the lowest and highest temperature measured on earth. So that means we should scale it from nearly 0K to about 10^7K. It should be clear to any moron that the temp anomalies measured by those whacky scientists are completely meaningless and a total scam.
Plotting the temperature on that scale will also point out the idiocy of people who bitch about water used to make their coffee being at 273K instead of 373K (merely a 0.001% fluctuation on that scale). Or even worse those crybabies who run to the emergency room when their body temperature moves from 310K to 315K (an infinitesimally small 0.00005% fluctuation on that scale).
I can’t believe that there are scientists this dumb.

January 12, 2016 6:05 am

On the topic of deceptive graphs
R-Bloggers have technical analysis post about how “pause-deniers” blogs accidentally deceive by picking the wrong graph sources etc.
..The post has no open comments, so I guess people could comment here

Reply to  stewgreen
January 12, 2016 6:09 am

I should add the post is about one particular study so is titled : Critique of ‘Debunking the climate hiatus’, by Rajaratnam, Romano, Tsiang, and Diffenbaugh

CaligulaJones
January 12, 2016 6:41 am

From a few years ago n Number Watch:
http://numberwatch.co.uk/chartmanship.htm

January 12, 2016 7:01 am

On the topic of deceptive graphs (which I mentioned above but stuck in moderation)
Over on Bishop Hill has a new post on the topic I mentioned above
Critique of ‘Debunking the climate hiatus’, by Rajaratnam, Romano, Tsiang, and Diffenbaugh, and more from “The eminent statistician Radford Neal, .. writing a series of posts on global temperature data”

January 12, 2016 7:14 am

Alterations To Climate Data – see Steve Goddard’s site for some fascinating data “adjustments”:
https://stevengoddard.wordpress.com/alterations-to-climate-data/
In other news, this weekend some guy shot up a club in Calgary. The bouncers tackled the shooter after he got three shots off – one patron was seriously wounded but will survive. Have to drop by that bar and congratulate those bouncers – unarmed guys tackling a shooter – not that common these days – but hey, this is Calgary – the last best West.
Remarkable coincidence though! Both the gunman and driver were named Mohamed. Wow! What are the odds of that?
http://www.calgarysun.com/2016/01/10/calgary-police-at-scene-shortly-after-shots-fired-in-beltline-bar-injuring-one

Reply to  Allan MacRae
January 12, 2016 12:50 pm

After some adjustments, we have determined their names were Jim-bob and Bubba.

Reply to  talldave2
January 13, 2016 3:26 am

LOL Talldave2! The reality is that bad or worse!
It is clear that this was not a targeted attack, in that the shooter fired from the outside doorway into the crowded nightclub. I will not speculate on motives at this time, but gang shootings are usually targeted, not random. The arrested suspects are Mohamed Salad and Mohamed Elmi.
An article in the Calgary Sun reads:
“Meanwhile, police continue to seek a third suspect who managed to slip away from officers in the initial chaos of the shooting scene. He’s described as a 5-foot-10 black male between 20 and 30 years old, wearing white pants and a beige-coloured sweater.”
Please see the video at
http://www.calgarysun.com/2016/01/10/calgary-police-at-scene-shortly-after-shots-fired-in-beltline-bar-injuring-one
The third suspect was clearly corralled by the Police, who must have let him go. I’d like to see the video on this:
Police: “Hey, is your name Mohamed too?”
Third suspect:: “No, eet’s ah… Jeem! Dat’s eet! Jeem!”
Police “Well OK then, you can go.”
It is too early to draw conclusions either way in this matter. However, check out the spin in this article.
http://www.calgarysun.com/2016/01/12/unfounded-terror-allegations-in-calgary-nightclub-shooting-merely-product-of-unscrupulous-attention-seekers
Right-0!

seaice1
January 12, 2016 7:18 am

I posted a version of this, but it said “comment could not be posted”. I have tried this one on th etest page and it worked OK, so trying again here. Apologies if it comes up twice.
The article says that “With a bit of an effort, it’s easy to discover that the temperature changes are identical for both global temperature anomalies and for global temperatures”
The only problem would arise if ALL graphs should have axis starting at zero.
See this one from climate4you
http://www.climate4you.com/images/SolarIrradianceReconstructedSince1610.gif
Should that have axes starting at zero? No, of course not. That would totally remove the point of plotting the graph in the first place. The data varies by about 0.2% of the solar irradiance, yet we still find such graphs useful.
Graphs should have axes that cover the data, and be labelled clearly. That is exactly what the anomaly plots do.

Brandon Gates
Reply to  seaice1
January 12, 2016 12:41 pm

+1

Reply to  seaice1
January 12, 2016 7:44 pm

This is where they got it, and notice the trend line that was omitted:
http://www.biocab.org/Solar_Irradiance_English.jpg
Global warming? From sunshine? Hmm-m. Could that be possible …?

Reply to  dbstealey
January 14, 2016 2:45 pm

You used the same chart but BG didn’t +1 you….I wonder why.

2PetitsVerres
Reply to  seaice1
January 13, 2016 8:22 am

about the correlation between this solar radiance and warming of atmosphere, you are right, you should definitively consider reading the paper who has done the solar radiance reconstruction. You will be happy to seem stuff like “The correlation of reconstructed solar irradiance and Northern Hemisphere (NH) surface temperature is 0.86”
Before you get crazy all over, the end of the sentence is “in the pre-industrial period from 1610 to 1800, implying a predominant solar influence. Extending this correlation to the present suggests that solar forcing may have contributed about half of the observed 0.55°C surface warming since 1860 and one third of the warming since 1970.”
That should answer your question “Could that be possible …?”

Reply to  seaice1
January 13, 2016 12:41 pm

2PetitsVerres,
“Could that be possible …?” was sarcasm. Sorry, I should have noted it, because it didn’t translate any better than your comment. But thank you for the explanation.
Now, if you could just explain for us where human CO2 takes over the global warming job from the sun, I would sure appreciate it.
</sarc> <–(that's HTML code for 'end sarcasm')

Reply to  seaice1
January 14, 2016 2:34 pm

You are correct, and not everyone here agrees that graphs should be plotted using axis that start at zero. That is also not what the article is saying. The article is pointing out that plotting anomalies on a graph and pretending that they represent actual temperature increases is misleading and shouldn’t be done unless you label that graph indicating what you’ve done.
So why is it that when the people at NASA and NOAA talk about “temperature increases” or “global warming” they always seem to use anomaly charts instead of actual temperature charts? They talk about increasing temperatures and hold up anomaly graphs. They put anomaly graphs in their power point yearly reports. They post them all over the internet, and people all over the internet use them incorrectly over and over again afterwards. Are they trying to confuse the public? Or are they just completely oblivious to the fact that they are confusing them? Because if you show the public a chart like Fig1, where temps are represented by a flat line across a graph, they go batcrap crazy and call your chart deceptive, wrong, inaccurate etc.

January 12, 2016 8:23 am

Thanks, C.R. Dickson.
I agree. A lie can be told with words or with graphics.

January 12, 2016 12:49 pm

The National Review graph is useful because the temperature range given is roughly what Americans experience in a typical year (some of us lucky folks in the Midwest even get both 110 and -10).
That bring up another bugaboo of mine — stop reporting the anomaly. This not only obscures the data from useful context, it also allows tricks like “cooling the baseline.” Just report the gosh darn temperatures in your temperature graph!

January 12, 2016 2:26 pm

While there are people here in the comments, such as “Latitude” and “DB Stealey” who do post great charts … I can’t recall seeing many “honest charts” since I started reading about climate change in 1997, much less a whole article on “graph politics”.
This is an excellent subject for a guest post !
The best way to convert climate change cult members back to normal people is to show them an “honest chart” of the average temperature since 1880, which, even after the smarmy “adjustments”, and the fact that 1880s thermometers tend to read low, still looks like a straight line!
Hitting them upside the head with a rolled up New York Times while they are looking at an “honest chart” (OR ANY OTHER TIME) helps too!
Typically no margins of error shown on any charts.
Typically no discussion of measurement methodology and its potential accuracy, or lack of — not even one paragraph.
Typically no raw data shown — only numbers after “adjustments” to what someone thinks the data should have been …. and/or a high percentage of wild guess “infilling” substituted for missing real data.
The people who collect the data have shown themselves, in their eMails, to be dishonest … and many of their jobs exist only because of the fantasy of a coming global warming catastrophe = a huge financial incentive to find warming when none exists in raw data!
The leftist politicians who stir up the masses will be rewarded with more government power over the private sector, if enough people fear a climate catastrophe, and let them seize more power …, and perhaps a job / investments in the government subsidized “green” industry after they retire from politics.
To makes charts easy to read (Bob Tisdale style) the temperature range is only one degree C. on many charts — that makes inconsequential 0.1 and 0.2 degree C. changes look like mountains, valleys and important trends … when they more likely to be meaningless random variations, and / or measurement errors.
To make charts that show temperatures as humans feel them, the range should be at least 10 degrees C. or more!
A 0.1 or 0.2 degree C. change in the average temperature should be invisible on a chart if you want an “honest chart” that does not EXAGGERATE tiny temperature changes no one would even notice … if not for smarmy environmentalists constantly bellowing that climate change will cause life on Earth to end as we know it !
Climate blog for non-scientists:
Free
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A public service
Short easy to read posts and charts.
Climate centerfolds.
Note: Leftists should stay away to avoid high blood pressure.
http://www.elOnionBloggle.blogspot.com

January 12, 2016 2:35 pm

I just wanted to pop by and thank Anthony and Dr. Dickson for taking the time to research the providence of the “temp on a thermometer” graph. When I made the graph I had no idea how effective and enduring it would be. I am so very glad the notion seems to have taken up some steam and is now being replicated!

Reply to  James sexton
January 12, 2016 8:04 pm

James,
I’ve stolen that chart so many times that I should be paying you royalties. Here are a few more you can add to your collection:comment imagecomment image
http://catallaxyfiles.com/files/2012/05/Mean-Temp-1.jpg
And someone made a copy of yours, converted to Kelvin:
http://4.bp.blogspot.com/-lPGChYUUeuc/VLhzJqwRhtI/AAAAAAAAAS4/ehDtihKNKIw/s1600/GISTemp%2BKelvin%2B01.png
Another one, in ºF:
http://i1.wp.com/www.powerlineblog.com/ed-assets/2015/10/Global-2-copy.jpg
And then there’s the climate alarmist contingent. This is their red meat, from Michael Mann’s realclimate blog:
http://www.realclimate.org/images//Marcott.png

Reply to  dbstealey
January 13, 2016 2:37 pm

All good ones DB! Yeh, I’ll be using the Kelvin one at some point!

Richard Keen
January 12, 2016 10:21 pm

In 1997 Kiehl and Trenberth published a definitive energy balance of the climate system, complete with circles and arrows.
In 2009 Trenberth, Fasullo, and Kiehl published another definitive energy balance, with more circles and arrows.
The two versions are not the same, with individual components (such as solar absorbed by the atmosphere) changing by as much as 11 watts/m2. The Net Absorbed at the surface goes from zero (equilibrium balance) to a net (warming) balance of +0.9 Watts/m2.
Here’s a chart, with circles and arrows, showing the changes (difference between 1997 and 2009) of each arrow.
http://icecap.us/images/uploads/EnergyBudgetTFed3.jpg
Taking those differences to be equivalent to uncertainties, the uncertainty of the Net absorbed at the surface is twice as large as their new estimate of +0.9 Watts/m2.
So that’s where Trenberth’s “missing heat” is. It’s well within the uncertainty of the estimates, i.e., it does not exist.
More about this in Vincent Gray’s article on ICECAP.us
http://icecap.us/index.php/go/icing-the-hype/the_flat_earth/

January 13, 2016 1:47 am

If a 2 percent change is that important, then a climate model to be useful must be accurate to something like 0.25%. Thus today’s models must be improved by about a hundredfold in accuracy, a very challenging task.”
That says that current models are good to 25%. Good enough for an order of magnitude determination and not much else. i.e 30°K or 300°K. 300°K or 301°K – fuggetaboutit.

2PetitsVerres
January 13, 2016 2:11 am

I don’t understand, the comments says it would be a great idea to plot all temperatures in K, with the y axis starting at 0, because it’s the absolute 0. Great idea, but nobody talks about the maximum value of this axis. I think all temperature data should be plot with a Y axis going from 0K to infinity K, because it’s the absolute maximum temperature, which makes it the natural maximum value on the graph.
I always do that when I want to plot distance. The 0 of my graph is 0, and the maximum value is 8.8e26 m, the diameter of the observable universe. Of course, on this graph, it looks like my cup of coffee, the sun and even the center of the milky way are at the same distance, but it’s a good graph because it uses the good maximum and minimum value of distances! I don’t want to use a magnifier.

seaice1
Reply to  2PetitsVerres
January 13, 2016 5:30 am

Excellent tip. I will use this when persuading my other half to go to the shops. It is, after all, totally indistinguishable from the front room when you look at the full scale, and we are assured that “people normally do not use a magnified version of the world to proceed with their daily lives.”

Reply to  2PetitsVerres
January 13, 2016 1:41 pm

2PetitsVerres,
Why do I get the feeling you’re a peer reviewed, published author of a climate paper or two?

2PetitsVerres
Reply to  dbstealey
January 13, 2016 2:12 pm

You probably get this feeling because you have bad instinct, because I’m not 😉

Reply to  dbstealey
January 13, 2016 2:54 pm

dbstealey…I think 2PetitsVerres thinks your comment was a compliment….:)

Steve Garcia
January 13, 2016 3:45 am

The real way to view temperature is similar to Figure 1 – Feel it on your skin. Year in, year out, feel it on your skin. It will – averaged out – FEEL like Figure 1.
A room with 20.000°C will feel the same as a room with 20.600°C. Or 19.4°C.
This would be an objective test for all the warmists – to put them in rooms and tell us which is which. And if they can’t, they should be sent packing.
ESPECIALLY, we should put them in all of the various rooms – 19.4°C, 20.0, 20.6°C, 20.3°C, 19.7°C, etc – and if they can’t detect a CATASTROPHE, then their funding should be pulled.
There is no reason on God’s green Earth that if our SKIN can’t tell it is warmer, then the warming isn’t a disaster.
This was my very first argument against the CAGW scare, back in the 1990s. I didn’t pay attention till then. When I did, I immediately started asking questions like that. And the answers still keep coming back the same: There is no crisis.

seaice1
Reply to  Steve Garcia
January 13, 2016 10:14 am

Yes, we should give up instruments and only use our senses directly for all science.

Reply to  seaice1
January 13, 2016 2:55 pm

seaice1, your logic is no better than his was.

Chris
Reply to  seaice1
January 13, 2016 10:00 pm

Actually, seaice’s logic is a whole lot better. Seeing how our skin feels as a way to judge if AGW is occurring?

Reply to  seaice1
January 14, 2016 2:36 pm

seaice1-chris thinks you were being serious. Wait….were you?

January 13, 2016 8:18 am

One of the dumbest articles Ive seen in a LONG time. Microbes are too small to be seen in a ‘normal’ view, so they couldn’t possibly be harmful. Right.

MRW
Reply to  Patrick Shoemaker
January 13, 2016 2:01 pm

Do you have a reading comprehension problem? Dickson is comparing magnifications.

barry
January 14, 2016 5:19 am

Oh good grief. You set the scale to see if there is a change, not to hide it. A doctor checking my body temperature against a scale from 0 – 100C would find little changed if my temperature rose or fell by a few degrees. I’d be dead, but the graph wouldn’t know it. A tablespoon of cynaide would almost certainly kill me, but as a percentage of body weight, it should have no effect whatsoever on the rubric here. It wouldn’t be a blip on a scale of 0 – 190 pounds.
As half of North America was covered in ice when the temperature of the planet was 5C cooler, I’d set that as the maximum scale. Of course, at 2.5C cooler that’s still a lot of change – and tens of meters of sea level difference out of the last ice age. A scale of 2C would be quite useful. The first one above (not the ridiculous one) is at 2.5C.
(Use Kelvin or Fahrenheit or whatever – it’s the change we’re interested in, not the metric)
100F. Please tell me this article was a joke.

Reply to  barry
January 14, 2016 2:42 pm

“100F. Please tell me this article was a joke.”
Why is it a joke?

January 14, 2016 2:20 pm

Barry says:
A scale of 2C would be quite useful.
It wouldn’t be any more useful than any chart using a century old temperatuere record, because there’s no way to compare small changes of a century ago with today. You have no way of knowing how accurate the old temperature record really is. That’s why I keep pointing out that the temperature isn’t important. It’s the trend that matters.
Click in this chart for a better view. You can see the trend more easily:
http://4.bp.blogspot.com/-lPGChYUUeuc/VLhzJqwRhtI/AAAAAAAAAS4/ehDtihKNKIw/s1600/GISTemp%2BKelvin%2B01.png
You’re correct whan you say:
Use Kelvin or Fahrenheit or whatever – it’s the change we’re interested in, not the metric
As you can see, there’s been no change for many years. Does that make you at all skeptical of the claims of the climate alarmist crowd? Or will you re-frame the argument?
Climate alarmists have been completely wrong in every alarming prediction they’ve ever made. Not one scary prediction has ever happened. What do you think of a conjecture that’s been 100.0% wrong in all cases? Should we reject their conjecture? Or try to ‘fix’ it?