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Does ocean cooling prove global warming has ended?

What the science says...

Select a level... Basic Intermediate

Early estimates of ocean heat from the Argo showed a cooling bias due to pressure sensor issues. Recent estimates of ocean heat that take this bias into account show continued warming of the upper ocean. This is confirmed by independent estimates of ocean heat as well as more comprehensive measurements of ocean heat down to 2000 metres deep.

Climate Myth...

Oceans are cooling

“Ocean heat touches on the very core of the AGW hypothesis:  When all is said and done, if the climate system is not accumulating heat, the hypothesis is invalid.

[…]Now that heat accumulation has stopped (and perhaps even reversed), the tables have turned.  The same criteria used to support their hypothesis, is now being used to falsify it.” (William DiPuccio)

The paper Cooling of the global ocean since 2003 (Loehles 2009) looks at ocean heat content as measured by Argo. Argo is a network of over 3000 floats scattered across the globe that measure temperature and salinity of the upper ocean. Loehles finds a cooling trend from 2003 to 2008.

Figure 1: Heat content smoothed with 1-2-1 filter and overlaid with linear trend portion of best-fit model (slope = -0.35 x 1022 J/yr)

As oceans contain around 80% of the climate's total energy, ocean heat is a good measure of what's happening with our climate. So recent ocean cooling has led some to conclude that global warming has stopped. Probably the most articulate article is The Global Warming Hypothesis and Ocean Heat by William DiPuccio. His logic is as follows:

  1. The anthropogenic global warming hypothesis says ocean heat should increase fairly steadily and uninterrupted (monotonic), barring any volcanic eruptions
  2. The ocean has been cooling since 2003
  3. Therefore, the anthropogenic global warming hypothesis is either false or fundamentally inadequate

Let's examine points 1 and 2 in more detail.

1. Does ocean heat monotically increase from year to year?

If the climate is steadily accumulating heat, does this mean the ocean heat content will also show a monotonic steady trend? To answer this, we need to view observations of ocean heat content over the past 40 years.

Figure 2: global ocean heat from 1955 to 2008. Blue line is yearly ocean heat content for the 0–700 m layer (Levitus 2009). Red line is the global mean stratospheric optical depth, indicating the timing of major volcanic eruptions (NASA GISS, data ends in 1999).

The longer record reveals short term variability amidst the long term warming trend. Volcanic eruptions (indicated in red by the stratospheric optical depth) impose a short term cooling influence of several years. But there is also variability due to cyclic effects such as El Nino. It's not unusual for the warming trend to slow or even show cooling over several years. More on what causes short term ocean cooling...

2. Has the ocean been cooling since 2003?

Ocean heat is directly measured by buoys that sink through the ocean, measuring water temperature at different depths. The most comprehensive system is the Argo network which was gradually deployed from 2003 through to 2007, with 3388 floats now spread throughout the globe.

There have been early difficulties in measuring ocean heat. Expendable bathythermographs, or XBT's, measured ocean temperatures before the Argo network was deployed. XBT's have been found to introduce a warming bias so when the warmer XBT data was combined with the later Argo data, the most recent trend showed exagerated cooling (more on that here). In addition, some Argo floats have had pressure sensor issues which impose a further cooling bias.

Loehles 2009 uses a reconstruction of Argo data by Josh Willis (Willis 2008). Another analysis of the same raw Argo data was performed by Leuliette 2009 - a comparison of Willis 2008 and Leuliette 2009 can be found in Figure 3:

Figure 3: Monthly variations in global mean steric sea level computed by Willis 2008 (gray line) and Leuliette 2009 (black line).

Willis 2008 shows a cooling trend since 2004, while Leuliette shows a warming trend. The primary difference between the two is found early in the Argo record, when there were fewer Argo buoys deployed. Leuliette 2009 suggests the discrepancy between the two seems to be due to poor sampling and differences in how the data was handled. But which dataset is more accurate?

When confronted with two papers offering different results, a useful referree is an independently determined dataset. As well as using Argo data, Cazenave 2009 creates two independent estimates of ocean heat. Sea level rise is comprised of two components: mass change due to melting ice and steric sea level rise due to changes in ocean density. Thermal expansion is the main driver of steric changes (salinity is also a minor factor) so steric sea level rise is another measure of total ocean heat.

The first reconstruction uses satellite gravity measurements to calculate the change in ocean mass. They then subtract ocean mass sea level rise from total sea level rise to calculate the steric sea level rise. The second reconstruction uses satellite gravity measurements to calculate the change in mass of land ice and land water. The sea level rise from this contribution is subtracted from the total sea level rise to obtain another estimate of steric sea level rise. Both reconstructions show a statistically significant warming trend.

Argo offer two data streams - real time where the data is available almost instantaneously and delayed which undergoes more rigorous checks. Cazenave uses only measurements with the highest quality control settings (an approach the folk at Surfacestations would surely approve of). The Argo trend closely matches the other two reconstructions.

Figure 4: Three reconstructions of steric sea level, with seasonal element removed. Blue curve estimated from the difference between altimetry and GRACE-based ocean mass. Green curve estimated from the difference between satellite altimetry and total land ice plus land waters contribution. Red curve: ARGO-based estimate (Cazenave 2009).

In climate discussions, the most common error is focusing on a single piece of the puzzle while ignoring the big picture. The ocean cooling meme commits this error twofold. Firstly, it scrutinises 6 years worth of data while ignoring the last 40 years of ocean warming. Secondly, it hangs its hat on one particular reconstruction that shows cooling, while other results and independent analyses indicate slight warming.

The bottom line is there is still uncertainty over the reconstruction of ocean heat. Generally, the various reconstructions show the same long term trends but don't always agree over short periods. The uncertainty means one cannot conclude with confidence that the ocean is cooling. Independent analysis seem to indicate that over last half dozen years, the ocean has shown less warming than the long term trend but nevertheless, a statistically significant warming trend.

Last updated on 15 October 2016 by John Cook. View Archives

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Further reading

The IPCC AR4 section on Oceanic Climate Change and Sea Level (15Mb PDF) gives a good overview of ocean heat and sea level change. Interestingly, they use the ocean heat data with the erroneous 2003 cooling trend (see Figure 5.1).

Josh Willis writes a good overview of the challenges of measuring ocean temperatures in Is It Me, or Did the Oceans Cool?


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Comments 1 to 25 out of 85:

  1. "Dust Responsible for Most of Atlantic Warming", By LiveScience Staff, 26 March 2009 The results: More than two-thirds of this upward trend in recent decades can be attributed to changes in African dust storm and tropical volcano activity during that time. This was a surprisingly large amount, Evan said. The results, detailed in the March 27 issue of the journal Science, suggest that only about 30 percent of the observed Atlantic temperature increases are due to other factors, such as a warming climate. "This makes sense, because we don't really expect global warming to make the ocean [temperature] increase that fast," Evan said.
  2. Lyman et al. 2006 and Gouretski and Koltermann 2007 both illustrate that the oceans have been cooling since 2003.
  3. Lyman et al. 2006 and Gouretski and Koltermann 2007 both illustrate that the oceans have been cooling since 2003. The same authors of Lyman et al. 2006 published a correction in 2007 noting that the apparent cooling had been an artifact of errors in the analytical method used. From their abstract: "Two systematic biases have been discovered in the ocean temperature data used by Lyman et al. [2006]. These biases are both substantially larger than sampling errors estimated in Lyman et al. [2006], and appear to be the cause of the rapid cooling reported in that work." Much has been published since then, including a followup by the same authors (Willis 2009)
  4. Over in another thread, Berényi Péter writes: Pre ARGO project OHC data are unreliable. I'm replying here, since the subject was off-topic for that thread and it's on-topic here. Pre-ARGO OHC data are sparser and more difficult to work with. But there are many papers that have successfully analyzed long-term trends in OHC. Here are just a few examples from the past two years: Levitus et al. 2009 Ishii and Kimoto 2009 Domingues et al. 2008 Much of the work from the Levitus et al. 2009 paper was also treated in this2009 presentation at CLIMAR. Note the following comment: "There was a concern that instrumental bias corrections might have affected the long-term trend (1955-2007) in ocean heat content that we previously reported. It will be demonstrated that, although some small corrections are indeed necessary, the instrument bias corrections do not affect the previously reported long-term trend in ocean heat content."
  5. #4 Ned at 21:37 PM on 5 April, 2010 "I'm replying here, since the subject was off-topic for that thread" OK, it was, indeed. However, it came there naturally, as things are interconnected. Just for reference: it was a response to #85 Ned at 00:29 AM on 5 April, 2010 under topic Does record snowfall disprove global warming? You have claimed there that "we've been in El Nino conditions for some time now and there's typically a short-term decrease in OHC when the cycle shifts from El Nino to La Nina". In #86 I have demonstrated beyond reasonable doubt, that recent decrease of OHC has nothing to do with ENSO. Just have a look at the figure. I have also noticed there, that the 2003 jump in OHC may be an artifact due to instrumental change. The NODC OHC graph shows an increase of about 5 × 1022 J in a single year. Since heat storage capacity of all other components of the climate system are negligible compared to the oceans, this energy could only come from an abrupt 3 W m-2 increase of radiative imbalance at TOA (Top of Atmosphere). Let us see. Well, if ISCCP data are considered reliable, nothing like that has happened. There was a sharp decrease of some 4 W m-2 in net incoming flux at TOA between 2000 and 2002. Since then it is practically flat. Therefore reconstruction of OHC history before ARGO is suspect. Sometimes you should use your own head. No amount of peer reviewed literature could save you that effort. #87 Riccardo at 06:43 AM on 5 April, 2010 in same thread wrote: "you're dangerously falling into a grim denialism. You do not bother to verify you claims and let other people do the dirty job to make your denialism apparent. It's a bit boring" Now. I kindly request our host to comment on this attitude. According to the site's Comments Policy "Comments using labels like 'alarmist' and 'denier' are usually skating on thin ice". A couple of other points come to mind as well. John, I would rather not ask you to delete that comment, as it also includes a false claim I'll comment on shortly, but it definitely deserves one of those green boxes. #87 Riccardo at 06:43 AM on 5 April, 2010 "Your claim about the jump in the deployment of Argo floats in 2003 which you immagine is the cause of the jump in OHC is blatantly false. Check youself (pag.4)." Riccardo, you are referring to this image: First things first. I have not claimed there was a jump in deployment. What I did claim, there is a jump in OHC reconstruction and at the same time instrumentation went through a huge change. However, as you may notice, there is indeed a jump in Pacific ARGO deployments during 2003. This jump is due to lack of ARGO floats in southern Pacific (to a lesser extent in southern Atlantic as well) during early 2003. The gap was filled in by December 2003, but it took another four months to get a reasonable distribution by random drift. As for the number of active ARGO floats, it went like this: 2002-04 465 2003-04 797 2003-07 832 2003-08 860 2003-12 1023 2004-04 1158 2004-07 1257 2004-11 1500 2005-04 1788 2005-05 1871 2006-05 2451 2006-11 2743 2007-11 3070 2008-05 3111 2009-07 3319 The histogram shows the annual number of profiles collected, the blue line is the number of active floats. Compare the distributions above to current status: It is only the Number 5 December 2004 issue of Argonautics Newsletter that declares: "Uses of Argo data    Perhaps the most important feature is that the array is now global and this permits us to start to address important scientific issues and to make the data useful to operational centres" You can see how sparse OHC data really are prior to ARGO: All other sources of OHC data also diminished dangerously by the year 2002. It is slide 6 in the Leviticus presentation: Caption: The number of 4°x2° boxes that meet the observation criteria as a function of time for both MBT and XBT comparisons based on computations from WOD data.
  6. Berényi Péter writes: Sometimes you should use your own head. No amount of peer reviewed literature could save you that effort. It's important to use your own head and think about things for yourself. But when considering a highly complex subject outside your own area of expertise it's equally important (or more important) to make an effort to understand what people who spend their whole careers studying that subject have to say. If one only uses one's own reasoning and disregards outside expertise, one is liable to be led into serious errors like this: "[Water vapor] feedback is not positive. If it would be positive, the scenario described above [a runaway greenhouse effect like on Venus] is inevitable. It is not climate science, not even physics. Just plain old math. Plus the empirical fact we are still alive." If you will forgive me for making a critical comment, I think that this kind of disregard for learning from active scientists is one of the weaknesses of many of your comments here. I rarely if ever see you engage at all with the peer reviewed literature, which is a bit puzzling -- this site is unique among climate science blogs because of John's emphasis on discussing the peer reviewed literature, so if you have no interest in that, why do you comment here? This current topic is a case in point. Many people have worked on reconstructions of ocean heat content from the 1950s or 1960s onward. There are debates within the field about the best ways to handle sparse data, the best ways to handle instrumentation biases, and whether there are sufficient data pre-1967 to permit a statistically valid reconstruction before that time. All of these are interesting topics and all of them are discussed in great detail in the literature. Against all that, we have your flat assertion that pre-ARGO ocean heat content data are unreliable. Why? Well, you just say "look at this graph". It's not clear what you think you see in that graph. Oddly enough, the graph itself (here) is actually from a paper titled "Global ocean heat content (1955-2008) in light of recent instrumentation problems," a paper in which the authors describe how they were able to reconstruct ocean heat content from 1955-2008 in spite of various difficulties associated with pre-ARGO instrumentation. Why would you link to that as justification for your claim that the pre-ARGO data aren't reliable? I have no doubt that when you write something like "In #86 I have demonstrated beyond reasonable doubt, that recent decrease of OHC has nothing to do with ENSO. Just have a look at the figure" you sincerely believe you have in fact demonstrated that beyond a reasonable doubt. But alas, what seems convincing to you may be completely unconvincing to others. This is the advantage of testing your understanding against the accumulated expertise of scientists working in the field.
  7. #6 Ned at 11:04 AM on 6 April, 2010 "If one only uses one's own reasoning and disregards outside expertise, one is liable to be led into serious errors" Yes. That's a risk one should accept. However, mistakes can (and should) be corrected. Let's discuss it under the proper topic, please. On the other hand, the only way to actually understand anything is by trying to reproduce it on your own. There is no royal road. "Now there are many things that seem to be grounded in truth and to follow from scientific principles but actually are at variance with these principles and deceive the more superficial. It was for this reason that Euclid set forth methods for intelligent discrimination in such matters, too. With these methods not only shall we be able to train beginners in this study to detect fallacies, but we shall be able to escape deception ourselves". You also ask: Why would you link to that as justification for your claim that the pre-ARGO data aren't reliable?" I suppose you have read the paper. If so, you can see it has nothing to say about the 2003 step-like increase of OHC. Without it most of the multi-decadal trend is gone. Energy conservation is a pretty solid principle. If it ever gets falsified, it would not happen in climate science.
  8. Berényi Péter, i apologize for my too strong wording. But since, contrary to you claim, it is evident from the very same graphs you show (e.g. your third graph) that nothing particular happened in 2003 it really makes me think that you did not go through the data thoroughly and just threw your hypothesis to negate the validity of the OCH data. I would not call this skepticism.
  9. Berényi Péter writes: Without it most of the multi-decadal trend is gone. I don't think so. Here's Levitus et al.2009 figure S9, showing a comparison of three different analyses of OHC from the 1950s onward. Since you think there is a problem in 2003 I've cropped the graph at 2002. The long-term multidecadal increase in OHC is obvious in all three studies. Figure S9 from Levitus et al. 2009. Yearly time series of ocean heat content (10E+22 J) for the 0-700 m layer from this study and from Domingues et al. [2008] and Ishii and Kimoto [2008]. Linear trends for each series for 1969-2008 given in the upper left portion of the figure. Reference period is 1957-1990. You still haven't given any evidence that pre-ARGO OHC data are "unreliable". Since that claim contradicts the results of multiple peer-reviewed studies showing long-term increases in OHC, one would demand very convincing evidence, but you provide no evidence at all, merely assertions. I think we can conclude that the oceans have in fact been warming over the past half-century. This should be no surprise, since oceans cover more than half the planet, and the surface and atmosphere are also warming.
  10. #9 Ned at 21:39 PM on 6 April, 2010 Since you think there is a problem in 2003 I've cropped the graph at 2002 With the same effort you could show us the entire graph. The huge divergence between reconstructions in 2003-2004 is clearly noticeable. If such problems occur in recent years, why would one believe any of it? Also, the choice of 1969-2003 as reference interval is nothing else but cherry picking.
  11. Actually, I could have showed the whole graph with less effort, but I cropped it at 2002 because you had been complaining about 2003. If you don't like the large increase in 2003 in the Levitus et al. data set, feel free to use either of the others.
  12. Berényi Péter pardon me for butting in but you're not the only person remarking on year 2003 as appearing as some sort of wild excursion. However, if you look at the data you that 2003 simply marks the onset of three years of temperature upticks. Looking at the rest of the graph, I don't see anything unusual about these years other than we see three upswings in row. In short, OHC in 2003 does not exhibit a "stepwise increase." 2003 itself is normal in terms of typical Y-axis behavior of this graph, as are other years subsequent to 2003. The "Gambler's Fallacy" tells us we should not be surprised by such an outcome.
  13. For clarification, my previous remark implies that the onset of the upswing begins in the third year of the decade.
  14. Wait a minute, perhaps Berényi Péter objects to the relatively large increase 2003-2004? But why should we arbitrarily decide a particular year's increase is an error simply because it's the largest difference on the graph? How would the record get stuck "up" after that year, if the year in question were indeed wrong? If anything, we ought to see an downward swing after such an error but we don't. Berényi Péter, perhaps you should supply a hypothesis to explain how one year's error can influence subsequent derivations of OHC?
  15. What strikes me about this figure is how close the agreement is among the three different teams. That's pretty remarkable. The general upward trend, on the other hand, is less remarkable. Since there are multiple other lines of reasoning to suggest that OHC ought to have been increasing over the past half-century, it's not really surprising. But it's a nice confirmation of what one would expect.
  16. #15 Ned at 05:04 AM on 7 April, 2010 What strikes me about this figure is how close the agreement is among the three different teams By the year 2004 the difference between Leviticus vs. Ishii & Kimoto is more than 6 × 1022 J. Of course you can call this agreement close, provided the meaning of this word is redefined. In fact the discrepancy between them is so large, that huge error bars are needed to make them consistent. With those error bars I would be surprised to find a trend different from zero at any reasonable level of significance. It would be nice to have all the data in digital format and perform such a test. Anyway. Even by eyeballing (and disregarding lack of significance) the trend between 1959-2001 is 0.2 × 1022 J/year perhaps. It translates to a 0.12 W/m2 net "forcing" at TOA on average during this 42 years long interval. On the other hand according to the Mauna Loa record, CO2 has increased from 315.98 ppmv to 371.07 ppmv. If we accept the estimated sensitivity of 3.7 W/m2 for carbon dioxide doubling given in IPCC AR4 WGI 2.3.1 as a reference point, it should mean a 0.86 W/m2 increase in "forcing" by the year 2001 relative to 1959. Log CO2 being almost linear, average should have been 0.43 W/m2. More than 70% of it is nowhere to be found. And not even feedbacks are taken into account yet. With them the effect measured is barely more than 10% of the radiative imbalance projected by IPCC. The artificial jump of 2003 introduced by Levicus at al. would not improve the situation much. It would make the figure above 15-20% perhaps (of expectations based on mainstream climate science). Either OHC history reconstructions are useless or theory misses some strong negative feedback.
  17. #15 doug_bostrom at 04:47 AM on 7 April, 2010 why should we arbitrarily decide a particular year's increase is an error simply because it's the largest difference on the graph? I have explained it above. The energy needed to create such a jump is missing. you should supply a hypothesis to explain how one year's error can influence subsequent derivations of OHC? No, I do not have to. But I have already supplied one anyway. Instrumentation and coverage changed a lot between fourth quarter 2002 & third quarter 2003.
  18. Berényi Péter, you do need to supply a hypothesis better than simply being suspicious of what could be a coincidental string of increases in observed OHC over 3 years. That's not really a workable hypothesis at all, not without elaboration. Assuming your notion about instrumentation changes is valid, I think you're missing a potential explanation for the "anomalous jump" you see, namely that adding instrumentation improved our ability to measure OHC. If I buy into the idea that 3 years of increasing OHC is down to instrumentation issues, I can as easily say the increase is due to better perception as you may say it's an error introduced by instrumentation changes. Without doing more work, neither of us can be believed. The problem is, neither of us really knows what we're talking about here, not with the degree of expertise needed to sort out the instrumentation problem you believe you see. Fortunately, we amateurs are not the last word on this matter, instead we've got actual scientists working on the case. After all of our handwaving is finished, they're still the horse's mouth with regard to this issue.
  19. I agree with Berényi Péter, it's a travesty that we can not track the energy flow through the climate system ... More details in the well known Trenberth's paper.
  20. BP writes: Anyway. Even by eyeballing (and disregarding lack of significance) the trend between 1959-2001 is 0.2 × 1022 J/year perhaps. It translates to a 0.12 W/m2 net "forcing" at TOA on average during this 42 years long interval. This seems a bit low. I get 0.26 W/m2 at the ocean surface, not 0.12 TOA, and TOA should be *higher* because of the albedo. Trend +2.4E21 J/year OHC700 (Ishii) or +3.2 (Levitus) or +4.1 (Domingues), from Levitus 2009 Conversion to watts 7.6E13 (Ishii) or 1.0E14 (Levitus) or 1.3E14 (Domingues) Area of oceans 3.61E14 m2 Trend at surface, not TOA +0.21 W/m2 (Ishii) or 0.28 W/m2 (Levitus) or 0.36 (Domingues) For comparison, NASA GISS has a table of annual net radiative forcings here. If you take the 1969-2003 forcings, multiply them by the area of the ocean and convert to J/year, the average over that time period is 1.0E22 J/year. So the OHC700 trend from those three papers is anywhere from 24% to 41% of what GISS suggests it should be. That's a bit low, even assuming some of the heat is going into the ocean below 700m. I'm going to have to read and think more about this; I may be forgetting something. For comparison, Domingues shows the following figure comparing their results to model predictions, including those of GISS: That seems to show their observations falling nicely in the middle of the ensemble of models, which is hard to reconcile with a trend that's only 24% to 41% of what would be predicted from forcings. Unfortunately at the moment Nature's website seems to be down so I'll have to go back and reread Domingues later to see how they explain this.
  21. All that said, I think Doug Bostrom has the most important point here: Without doing more work, neither of us can be believed. The problem is, neither of us really knows what we're talking about here, not with the degree of expertise needed to sort out the instrumentation problem you believe you see. Fortunately, we amateurs are not the last word on this matter, instead we've got actual scientists working on the case. I concur entirely with this.
  22. #21 Ned at 03:33 AM on 8 April, 2010 All that said, I think Doug Bostrom has the most important point here There are things I am as good at as an expert. Energy conservation is one of them. Here are the OHC anomaly data for each quarter between 1955 & 2009 according to the NODC Ocean Climate Laboratory: 1. quarter 2. quarter 3. quarter 4. quarter The error bars supplied are way too small if you take into account the differences between various reconstructions, but that's another story. According to the ISCCP-FD Radiative Fluxes database the 85-89 based Total Net Global Mean Anomaly at TOA is about -3 W/m2, basically flat between 2002 and 2005 with a rapid (sub-annual) oscillation. We do not know the correct offset, so the zero level is arbitrary, but there was no any climatically relevant change detected in this period. There might have been instrumental problems in 2000-2001, none later. Now. NODC OHC anomaly annual averages for 2002-2005 look like this: 2002 7.095 ± 0.527 × 1022 J 2003 10.481 ± 0.535 × 1022 J 2004 12.154 ± 0.494 × 1022 J 2005 11.247 ± 0.445 × 1022 J That is, from 2002 to 2003 OHC increased by 3.386± 0.751 × 1022 J and it has decreased by 0.907 ± 0.665 × 1022 J between 2004 and 2005. The difference is 4.293 ± 1 × 1022 J. It means that Earth has accumulated that much more heat in 2002-2003 than in 2004-2005. As Earth surface area is 5.1 × 1014 m2, the difference in net radiation balance is 8.42 ± 1.96 × 107 J/m2. A year is 3.16 × 107 sec. Therefore the difference in net radiation flux should have been 2.66 ± 0.62 W/m2. That is, from 2002-2003 to 2004-2005 Total Net Global Mean Anomaly at TOA should have decreased by at least 2 W/m2. It would be very visible in the ISCCP-FD graph, but in fact nothing like that can be seen. The extra heat needed to increase OHC in 2002-2003 could come from nowhere else than from TOA radiation anomaly, since there is no component in the climate system other than the oceans capable to store and supply that much energy. But it could not come from above. Therefore the NODC reconstruction is flawed. Q.E.D.
  23. BTW, even the Levitus OHC history reconstruction gives only a 0.14 °C increase in temperature for the upper 700 m of oceans for the entire 53 year period between 1955 and 2008. It is a problem indeed. Same author says average thermosteric sea level rise for this period was 0.39 mm/year. For a 700 m deep water column to expand by 20.7 mm in response to 0.14 °C warming, volumetric thermal expansion coefficient should be 2.1 × 10-4. It can only happen if average temperature of the upper 700 m is more than 20 °C. Now. In fact average temperature of ocean surface waters is 17 °C and this is the warmest layer. Below the thermocline (100-200 m on average) it gets really cold fast. At 700 m it can not be more than 5-6 °C. Therefore average temperature for the upper 700 m is somewhere around 10 °C. At this temperature volumetric expansion coefficient of water is only 0.88 × 10-4. It means that either OHC increased twice as much as Levitus claims or steric sea level rise was half of his value. There is of course a third, most unlikely possibility: temperature of seawater might have increased only in the warmest parts and layers of the ocean and nowhere else.
  24. #23 contd. Looks like volumetric thermal coefficient of seawater also depends on pressure and (to a lesser extent)salinity. It is 2.44 × 10-4 K-1 at 0 °C, 108 Pa (bottom of abyss). Pressure dependence may close the gap. IES 80 (UNESCO International Equation of State of Seawater 1980) Algorithms for computation of fundamental properties of seawater by Fofonoff & Millard, 1983 Sea Water Equation of State Calculator, Johns Hopkins University, Applied Physics Laboratory, Ocean Remote Sensing Group However, there is still room for improvement
  25. gpwayne - There's an updated chart of Argo and XBT data at the Argo data center through 2009, including the latest updates to XBT corrections. Well worth looking at.

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