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Lessons from Past Climate Predictions: Syun-Ichi Akasofu

Posted on 7 July 2011 by dana1981

In 2009, Syun-Ichi Akasofu (geophysicist and director of the International Arctic Research Center at the University of Alaska-Fairbanks) released a paper which argued that the recent global warming is due to two factors: natural recovery from the Little Ice Age (LIA), and "the multi-decadal oscillation".  The paper was  trimmed down and published in 2010 by a new journal called Natural Science, which is published by Scientific Research Publishing, which has been called "what may be the world’s strangest collection of academic journals."  Most of the following discussion focuses on the unpublished version of the paper.

Akasofu argues that the current warming trend of approximately 0.5°C per century actually began in the early 1800s, and that:

"This trend (0.5°C/100 years) should be subtracted from the temperature data during the last 100 years when estimating the manmade contribution to the present global warming trend. As a result, there is a possibility that only a small fraction of the present warming trend is attributable to the greenhouse effect resulting from human activities."

He also argues that the "multi-decadal oscillation" can explain some of the warming over the past 35 years:

"This particular natural change had a positive rate of change of about 0.15°C/10 years from about 1975 (positive from 1910 to 1940, negative from 1940 to 1975), and is thought by the IPCC to be a sure sign of the greenhouse effect of CO2. However, the positive trend from 1975 has stopped after 2000. One possibility of the halting is that after reaching a peak in 2000, the multi-decadal oscillation has begun to overwhelm the linear increase, causing the IPCC prediction to fail as early as the first decade of the 21st century."

Akasofu presents his argument graphically (Figure 1).  Basically he argues that there is a linear warming trend caused by "recovery from the LIA", with natural oscillations superimposed upon it.

Akasofu Fig 2A

Figure 1: Akasofu's interpretation of the global warming trend and causes since 1880

In order for this to be a physically sound argument, Akasofu must explain the physical mechanism behind the "LIA recovery", and why this 0.5°C global warming trend continues to persist.  What is the underlying cause?  Surely a geophysicist will examine this question.

Akasofu's Physical and Logical Failure

Unfortunately, nowhere in the 55 pages of his unpublished paper does Akasofu examine the physical cause of his purported 0.5°C per century warming trend since 1825.  Most of the paper is spent looking at various regional temperature proxies, as well as ice data, to show that the purported warming trend exists.

"Obviously, the LIA was caused by a natural change or changes. Further, the fact that an almost linear change of the temperature rise had been progressing until 2000 suggests that the linear change is a natural change, because the rapid increase of CO2 began only after 1946 (Figure 2c).  The linear change began from 1800~1850, at least one hundred years before the rapid increase of CO2 in the atmosphere."

In the published version, Akasofu devotes a section to a discussion about galactic cosmic rays, but does not attempt to quantify their effect.  In fact he begins the section by stating:

"It is not the purpose of this section to discuss any major causes of climate change."

Well that's a relief, I was afraid he was going to sneak some science in there! Instead, Akasofu appears to assume that the planet will naturally revert back to its previous state after a significant climate change as in the LIA.  However, Rea et al. (2010) found that the climate does not behave in this manner:

"we present a new way of looking at long memory in these reconstructions and proxies, which gives support to them being described by the non-stationary models. The implications for climatic change are that the temperature time series are not mean reverting. There is no evidence to support the idea that the observed rise in global temperatures are a natural fluctuation which will reverse in the near future."

Not only does Akasofu fail to examine the physical causes of the warming since 1825, but he also fails to consider the possibility that a number of different factors are at play.  For example, increased solar activity and low volcanic activity (and even human greenhouse gas emissions) contributed to the early 20th Century warming, but solar and volcanic activity have not contributed significantly to the warming since the mid-20th Century.  It is a logical failure to assume that a warming over nearly two centuries must have the same physical cause throughout the 200 years, and this argument is contradicted by the observational data (i.e. increasing solar activity in the early 1900s, but no increase since mid-century).

Unsupported Linear Warming Assumption

A further failure of Akasofu's analysis is that while the linear warming trend over the past two centuries is approximately 0.5°C per century, nearly all of that warming has occurred over the past 100 years, as Akasofu's own Figure 7a shows (Figure 2).

Akasofu Fig 7A

Figure 2: Various temperature reconstructions in Akasofu Figure 7a, showing that most of the temperature increase over the past 200 years has occurred since 1900.

Akasofu also fails to justify his assumption of a linear warming trend over the past two centuries. A slight warming in the 1800s, followed by faster warming in the early 1900s, followed by even faster warming over the past few decades - sounds rather like an exponential trend, doesn't it?  If you're going to fit a certain trend to the data, you first need a physical justification - what's the cause?  Akasofu does not have this justification, and without a physical reason the choice of trend is essentially arbitrary.

Indeed, in a previous post, Riccardo fitted various trends to the global temperature data (Figure 3), and found that whether the residuals form a clear cycle depends on the choice of trend.  In fact, the residual is more cyclical for an n=2 exponentlal fit than a linear fit (Figure 4).  Therefore, Akasofu's argument for fitting the data with a trend plus multi-decadal oscillations makes more sense for an exponential trend.

various trends

Figure 3: HadCRUT3 monthly data (grey) and the fits for n=1 (red), 2 (green) and 4 (blue).

residuals

Figure 4: Residuals calculated with the Figure 3 trend curves shown with n=1 (red), 2 (green) and 4 (blue).

Thus we find that Akasofu's entire premise is faulty on many different levels: physical, logical, and statistical.

Natural Variability

Akasofu does finally address the issue of physical causality later in his paper, when he states that the multi-decadal oscillations such as the Pacific Decadal Oscillation (PDO) can explain the acceleration in global warming from approximately 1977 to 2000.  While it's true that a positive PDO can explain some of the warming of surface temperatures, PDO and natural variability cannot explain either the ocean warming at the same time, or the long-term warming trend, whose cause Akasofu has still failed to address.

Akasofu's Prediction

Considering that Akasofu's paper almost entirely neglects physics and fails to address the causes of the observed warming trends, one might expect very little accuracy in his predictions of future temperature changes.  However, although he does not explain its cause, Akasofu does assume that the 0.5°C per century warming trend discussed in his paper will continue into the future.  So if the anthropogenic + natural warming trend is limited to 0.05°C per decade, Akasofu will have stumbled onto a correct prediction (Figure 5).

Akasofu Prediction

Figure 5: Akasofu vs. IPCC global temperature predictions

In order to evaluate the accuracy of Akasofu's prediction so far, we digitized Figure 5 and compared it to the Wood for Trees Index, which is a composite of the global temperature datasets compiled by NASA GISS, HadCRU, UAH, and RSS (Figure 6).

Akasofu vs. Observations

Figure 6: Akasofu's prediction from 2000 to 2015 (blue) vs. the Wood for Trees Index five year running average (red).

Akasofu's Results

As you can see, Akasofu predicted a very slight cooling (approximately 0.02°C) between 2000 and 2011, whereas the Wood for Trees Index has warmed approximately 0.1°C over that period.  So his prediction has not been terribly inaccurate yet - there hasn't really been sufficient time to evaluate its accuracy.

However, given the expected atmospheric CO2 increase over the next century, in order for Akasofu's predicted 0.05°C per decade warming trend to hold true, climate sensitivity would have to be in the range of 0.5 to 1.5°C for doubled CO2, depending on how rapidly CO2 continues to increase.  Coincidentally, this is approximately the same low climate sensitivty range that his fellow "skeptics" like Spencer, Lindzen, and Christy argue is accurate.

However, it's also important to note that as in Don Easterbrook's temperature predictions, Akasofu has completely ignored the warming effects of increasing atmospheric CO2 in his predictions, assuming that whatever caused the pre-industrial warming is also causing the current warming.  Thus Akasofu is really arguing that the climate sensitivity to CO2 is effectively zero, and that the observed and projected warming is due to some other 'natural' effect which he has not identified, but describes as "LIA recovery".  This is not a physical argument; Akasofu implies that extra heating from CO2 (which we've directly measured with satellites) isn't causing any warming - the heat somehow magically disappears.  So even if his fellow "skeptics" are somehow correct about low climate sensitivity and Akasofu's prediction turns out to be accurate, it will simply be due to sheer luck.

Any temperature prediction like Easterbrook's and Akasofu's which totally ignores the warming effects of CO2 is fundamentally physically incorrect.  Akasofu assumed a linear trend of unknown cause, an unknown periodic variability, and assumed that these two unknown phenomena will continue in the future, while disregarding what we know about the physics of the climate system.  Unfortunately there's no knowledge to be gained from Akasofu's paper, except how not to predict future climate change.

NOTE: As you can see at the top right corner of this post, John Cook has created a snazzy new button for the Lessons from Past Climate Predictions series.  We have also added some older posts which analyzed climate predictions, which you can see if you click on the button.

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Comments

Comments 1 to 34:

  1. Dana, why are you changing from HadCRUT to WoodForTrees Index during the article while Akasofu uses HadCRUT?

    As a sidenote: HadCRUT does show 0.05°C warming over the 2000-2011 period although I immediately add that only 10 years of temperature data is way too short to have confidence in this linear trend. Also, HadCRUT does not include the Arctic which might cause it to underestimate the (warming) trend.

    But my main point is that I think you should stick with a single record throughout the article next time to maintain consistency. Or have you choosen the WfT Index because you think it is more accurate (if so, do you have a link to a discussion about this)?
    Response:

    [dana1981] Using HadCRUT is a cherrypick.  It shows the least amount of warming since 2000 because it excludes the Arctic.  Frankly I'd prefer to use GISTemp because I think it's probably the most accurate, but then 'skeptics' would accuse me of cherrypicking as well.  I chose the WfT Index because it's a composite of the four most popular global temp datasets.  Using a composite eliminates all accusations of cherrypicked datasets. 

  2. Eric the Red at 01:01 AM on 7 July, 2011
    cynicus,

    I agree that including a new average is inconsistent.

    The 5-year moving average (centered around Jan., 2000) shows a very slight decline from 0.43 in 2000 to 0.41 today (5 years averaged around Dec., 2008). The CRU 5-year moving average reached a maximum of 0.46 in mid 2004. Since the most recent moving average is only tabulated to the end of 2008, Figure 5 is quite accurate so far.

    Any claims of an inaccurate prediction are premature. We need to wait another few years to see if it holds.
    Response:

    [dana1981] No you're missing the point.  Akasofu's prediction is inaccurate because it's not based on physics.  As I noted in the article, even if Akasofu gets lucky and his prediction turns out to be close to the actual temperature change, it won't be because he was right, it will be because he was lucky.

  3. Mark Harrigan at 01:23 AM on 7 July, 2011
    If you are a Scientific American subscriber you might want to look at this article from July Scientific American

    Paleocene-Eocene Thermal Maximum

    (actually the link works even if you're not a subscriber) which reports a new study from this period that shows how over a period of about 20,000 years natural events contributed to huge greenhouse gas emssions that raised global temps by almost 8 degrees C.

    Have a look at the graph on the 4th page of the article.

    It draws a precise analogue with the amount of CO2 we are injecting into the atmosphere today in a tiny fraction of that time. If we keep doing business as usual it suggests if anything current warnings are a gross UNDER estimate of what might happen.

    Worth a Read - and very sobering.

    So denialist models like Akasofu's be damned - here is solid evidence what happens if the CO2 levels go up like they are
  4. @dana1981 [dana1981] No you're missing the point. Akasofu's prediction is inaccurate because it's not based on physics.

    I really object to this notion. A prediction can be perfectly accurate without being based on any specific theory. And a prediction can be inaccurate even though based on "physics", if it is based on a faulty analysis or if some important factor has been omitted.

    Should a prediction turn out to be inaccurate, you can then say "oh, well, what do you expect? It wasn't based on physics." Should it turn out to be accurate, then you want to find out why, which may be coincidence or may be new physics, or previously overlooked factors.
  5. CBDunkerson at 02:14 AM on 7 July, 2011
    You've got two items labelled as 'Figure 4'. Last two images should be changed to 'Figure 5' and 'Figure 6'.

    I always love the 'recovering from the Little Ice Age' explanation... as if it were completely reasonable to identify an effect without a cause.
  6. rand15 - you're free to object, but the fact is that Akasofu's prediction is not based on physics at all. "Recovery from the LIA" is not physics. Akasofu did not even attempt to identify the physical cause of the warming trend, other than a throwaway reference to cosmic rays in the published version of the paper.
  7. thanks CBD, figure numbering corrected. I agree, "LIA recovery" is one of my favorites because it's just so ridiculous, like the climate just bounces around some natural equilibrium for no apparent reason. As I noted in the rebuttal to "LIA recovery" linked in the post, the factors which caused LIA cooling are not currently causing warming, so again, it's a completly unphysical argument.
  8. Dikran Marsupial at 03:07 AM on 7 July, 2011
    rand15 yes, a prediction can be accurate without being based on any particular theory; however predictions made by chimps trained to pick the numbers out of a bucket can be accurate as well. The point is that predictions based on physical theory are more likely to prove accurate, at least that is what history tells us (hence the name of the series of articles).

    There is a heirarchy in the strength of arguments:

    physics > statistics > chimps & buckets

    chimps + buckets provides no insight
    statistics provdes insight into correlations
    physics offers insight into causal relationships

    If you have identified the causal relationships correctly, your predictions will be good, whateve the circumstances the model is used in. You can't say the same for a statistcal model based on correllations; they can only be expected to be accurate in the region of the calibration data. The "chimps & buckets" model is equally accurate in all circumstances, but not in a good way ;o)

    Akasofu is somewhere between "statistics" and "chimps & buckets" (as his statistical methodology is questionable).
  9. Eric the Red at 03:27 AM on 7 July, 2011
    Whether his predictions is based on physics or not will not matter (although recovery fro, the LIA is loosely tied to physics). Dana is using a cherry pick above when moving from CRU data to tree hugger.
    Moderator Response: [Dikran Marsupial] If he had been picking cherries, dana would have chosen a ripe one, e.g. GISSTEMP. Picking an average also has good statistical justification (c.f. Bayesian model averaging). Akasofu on the other hand has picked the ripest cherry for his own argument. The "tree hugger" comment does you no favours either. Please review the comments policy.
  10. 9, Eric the Red,

    Can you have posted a more patently offensive comment?

    First, how does the woodfortrees index make it "tree hugger"? It incorporates the satellite data as well as GISS and HadCRUT. Your label of it being cherry picked seems to be pulled randomly itself out of thin air.

    Second, how is this a "cherry pick"? He used what he felt was a representative record, one which incorporates multiple measurements. Do you have actual evidence that another choice -- HadCRUT -- would have yielded noticeably different results?

    Last, but not least, you are wrong, basing predictions on physics does matter more than anything. It makes all the difference in the world. Physics/mechanics based theories are science. Correlations and "look! squirrel!" based theories are climastrology. They are worthless.

    If you can't see the difference there, you must consider yourself to be hopelessly lost in the issues until you can see and understand that fact.
  11. 9, Eric the Red,

    Oh, and on top of everything else, there's no reason for you to try to use a disparaging term like "tree hugger." That's just an elitist "I hate environmentalists of all flavors" attitude that serves no purpose except to expose your underlying ideologies.

    Last... would you like to try to justify your unsubstantiated claim that "the recovery from the LIA is loosely tied to phsyics"?
  12. Eric #9 - Sphaerica and Dikran have already done a good job responding to your rather absurd comment. If you think physics doesn't matter, I'm not sure why you're reading a science-based site like SkS to begin with. And if you think taking the composite of 4 datasets is cherrypicking, I suggest you look up the definition of the term. Also see my response to comment #1.

    By the way Sphaerica, I like your term "climastrology". That gave me a good chuckle.
  13. Nice deconstruction.

    It's also worth noting that the journal in which the pared-down paper was finally published (Natural Science) is not on the ISI listing -- which is to say, does not meet the accepted standard as a for bona-fide peer-reviewed journal.

    This isn't too surprising, as I'm guessing many of the issues raised by Dana's analysis would (or perhaps did) prevent publication in an actual journal.
  14. @cynicus at 00:19 AM on 7 July, 2011:

    Akasofu used HadCRUT? I recall him referencing several temperature datasets in his paper, and the figure in the article above (the red/blue "cycle" one, Figure 1) is an interpretation based off of GISS, HadCRUT3, NOAA, so on, but I don't think that he specifically used HadCRUT for any major conclusions of his.

    For the more general audience, in any case, since it was Riccardo who had used HadCRUT in his article that Dana referenced, the accusation of a cherry pick toward that choice is rather weak, and calling the usage of an average of datasets a cherry pick itself is even weaker and simply silly. In the context that the HadCRUT data was used as well, it isn't obvious to me that the choice of data is even relevant, since the principle of trend choice still applies. Without a physical justification for a trend, and thus with trend order being arbitrary, the residuals will show a cycle within a certain trend and not show it in others. To say there's even a well-defined cycle at all is specious. No matter the data set you're using, this will still apply, especially in the case where the different data sets are so similar in behavior over the time period.
  15. Akasofu has a serious internal contradiction. If the temperature increase over the last two centuries is a "recovery," then one can estimate how close it is to fully recovered from the (downward!) curvature of the data. If the data are truly linear, as Akasofu claims, the system is far from fully recovered. In that case the recovery will take temperature far above even the highest claims for medieval warming. But a temperature far above the previous maximum can hardly be considered a recovery.

    In fact, as others have said, the curvature actually appears to be upward. Thus, the "recovery" seems still to be starting and is headed a long way up.
  16. Very good point Jeff T - if there were such a thing, the global temperature has already "recovered" from the LIA, and overshot that recovery.
  17. Eric the Red at 07:08 AM on 7 July, 2011
    FYI, the temperature graph in Figure 5 above is referenced as NOAA in the recent paper.

    http://www.climatewatch.noaa.gov/article/2009/climate-change-global-temperature
  18. Eric the Red - "Whether his predictions is based on physics or not will not matter..."

    That, Eric, is a horrifying statement to read in a scientifically oriented discussion. It gives me roughly zero confidence in your critical and analytic abilities.

    Curve fitting without physics is just numerology, or "chimps and buckets", as Dikran noted. It has no predictive power, no scientific insights, as it doesn't contain any cause-effect relationships, or even statistical correlations. As many of the causes of climate change (anthropogenic gases come to mind, for some reason) aren't changing along a NNN year repeating sine wave, extracted curves just aren't going to be helpful for predictions.

    Cause-effect relationships, on the other hand, are. Akasofu has not explained the 'linear warming' since the LIA (which, incidentally, isn't linear, as the OP points out), and in fact makes no attempt to connect to causes or physics. It's just curve fitting, and with enough degrees of freedom you can fit anything. But predict, no. If you have the cause-effect relationships understood, you can predict what will happen to the climate as the causes (emissions in particular) change.

    With a close fit of something that doesn't have violent trajectory changes (like global temperature averages, sufficiently smoothed) even the simplest curve fit will fit for a brief while. But that's not predictive of cause and effect, just a symptom of limits to the rate of trajectory change. It tells us nothing about long term behavior of the climate system.

    This is a very sad, very bad paper.
    Moderator Response: (DB) ETR's comment was deleted for trolling for the reasons you mention.
  19. Eric the Red
    Akasofu did not use any particular dataset to make his projection. He added a multidecadal (armonic?) oscillation (PDO) to a linear fit (recovery from LIA), that's it. If his "model" is so sensitive to the choice between two very similar datasets (I invite you to compare the two) I'd say that the "model" is weak, to say the least.

    Anyways, this discussion leads us nowhere, there are much more solid reasons to dismiss the "model", as highlighted in this post and by others in the comments.
  20. Akasofu's data is wrong in *both* directions (i.e. both the recent temperature trend, which is still upwards, and the temperature before 1880) -

  21. Eric the Red #9

    WfT is a data visualisation tool that we are lucky to have. Its pro bono creator Paul Clark makes his methodology transparent. Let's not get carried away.
  22. Comment #1 claims that Akasofu used HadCRUT. I am quite sure he actually used GISTEMP land only.

    The red line on his chart continues at the same slope through the 2000s. The 2010 anomaly was 0.83C, which if anything appears to be *above* the top end of his drawn "IPCC prediction curve".

    In the public paper he's switched to using NOAA land+ocean. The circle for 2008 is still there although it is plotted incorrectly at the position of 2011. Akasofu's cycle also now peaks around 2010 in the published paper rather than 2000 as it does in the unpublished graph above. Similarly the IPCC "coned" projection is shifted along to begin around 2010 rather than 2000.
  23. 12, dana1981,

    Alas, I cannot take credit for "climastrology." skywatcher just introduced the term over on a comment over at "What does past climate change tell us about global warming." He goes on to say a quick google shows he's not the first either.

    And then I came here, and low and behold, it was the perfect example of climastrology in action. The timing was just too good.
  24. Icarus: Very good point.

    I liken this sort of 'LIA Recovery = linear upward trend' argument, to a man standing on the beach at mid-tide, screaming in panic because the water is rising and soon the entire world will be flooded...

    Although I'm sure there will be plenty of deniers who would twist that around the other way when talking about climate science, the obvious point is that a model based on curve-fitting a short period of data can give you very bad results, while a model based on an understanding of the physical mechanisms that drive the tide will tell you to walk five paces up the beach and relax.

    The difference now, of course, is that the curve-fitters are the ones telling us to relax, while the folks looking at the physical mechanisms driving climate have got seriously worried looks on their faces...
  25. Michael Hauber at 11:21 AM on 7 July, 2011
    Shorter Akasofu:

    Assume that the warming trend from 1880 to now was caused by natural causes. Therefore this warming cannot have been caused by human emmitted Co2. Even though humans have been emmitting Co2 over this entire time period.
  26. Eric the Red at 11:52 AM on 7 July, 2011
    wingding,

    The temperature anomly is a 5-year moving average. The GISS 5-year moving average has been ~0.55 for the past 8 years, Had CRUT was about 0.1C lower 8 years ago, and has declined slightly since. If you go back to Figure 2, most of the proxies hit a low point in the early 19th century, and have shown a similar increase in both the 19th and 20th centuries.
  27. Dana, thanks for the response. I've glanced through the paper again and notice that Akasofu also uses an 'interpreted' dataset for his 'theory', so I guess choosing the WfT Index seems warranted and perhaps even a better one. Although it clearly doesn't matter in light of the other criticisms.

    @14 Alex C, I don't know how I came to think that Akasofu used HadCRUT only. Now that I read it again this is clearly not the case. Must have had a blackout or something. Thanks for pointing it out.
  28. Re 26:

    Akasufo's graph uses GISTEMP met stations only, which is currently at about 0.7C
  29. In fact the GISTEMP met stations only anomaly for 2010 was 0.83C. If Akasofu had plotted that it would be above the top end of the IPCC projection curve on his graph.
  30. Eric the Red at 06:34 AM on 8 July, 2011
    wingding.

    If he was using the GISTEMP met stations only, the 5-year moving average in 2000 was +0.55C. Akasofu's graph in Figure 5 above only shows a temperature anomaly of ~0.45. The GISTEMP 5-year moving average did reach 0.7 in 2003, and has remained there since.

    Two claims could be made: 1) Akasofu has underpredicted temperatures by 0.15C during the last 8 years, or 2) he misjudged the temperature peak by 3 years. Either way, it is still way too early to conclude that is 100-year prediction is wrong.
  31. Rob Honeycutt at 09:35 AM on 8 July, 2011
    The immediate thought that pops into my head over Akosofu's idea of a recovery from the LIA is... recovery to what? I mean, even based on his diagram the "recovery" would produce ~1C of warming by 2100. Is he suggesting that a recovery from the LIA will put us equal to the peak of the holocene? A recovery that would reverse the orbitally forced trend of the past 6000 years? That's one heck of a recovery! A highly motivated recovery if you ask me.

    It strikes me that Akosofu did not fully inform himself on the full breadth of climate science before producing this piece. I have to tell you though, this work is certainly making the rounds in the denial-o-sphere. I've run into it numerous times. Many thanks go to Dana for looking into this one.
  32. Tom Curtis at 10:21 AM on 8 July, 2011
    Eric the Red @30, it is not to early to see that his retrodicted figures for the years 1850 to 1880 are way to low. Nor is it to early to see that, as Jeff T @15 has noted, this prediction is based on a logically incoherent position. It is also not to early to early to note that, as expected, his prediction is not matching the actual temperature trends, although this will not become embarrassingly obvious for several years yet.
  33. Thanks Rob, well said.
  34. Re 30:

    "If he was using the GISTEMP met stations only, the 5-year moving average in 2000 was +0.55C. Akasofu's graph in Figure 5 above only shows a temperature anomaly of ~0.45."

    Yes because Akasofu has botched it. That ~0.45C value is actually the 5 year mean value for 1998. Akasofu has simply "extended" that value through 2000.

    Figure 2a states "The red line is a smoothed version of the 5-year mean in Figures 1a and Figure 1b"

    Figures 1a and 1b are GISTEMP met stations only, but the data ends in 2000. That means the 5 year running mean ends in 1998. So where did Akasofu get the data to plot the 5 year running mean for 2000? He simply extended the 1998 value, which happens to be 0.45C

    As you point out the actual GISTEMP met station only 5 year running mean for 2000 was about 0.55C

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