Forcing The Ocean To Confess

Guest Post by Willis Eschenbach

According to the current climate paradigm, if the forcing (total downwelling energy) increases, a combination of two things happens. Some of the additional incoming energy (forcing) goes into heating the surface, and some goes into heating the ocean. Lately there’s been much furor about what the Levitus ocean data says about how much energy has gone into heating the ocean, from the surface down to 2000 metres depth. I discussed some of these issues in The Layers of Meaning in Levitus.

I find this furor somewhat curious, in that the trends and variations in the heat content of the global 0-2000 metre layer of the ocean are so small. The size is disguised by the use of units of 10^22 joules of energy … not an easy one to wrap my head around. So what I’ve done is I’ve looked at the annual change in heat content of the upper ocean (0-2000m). Then I’ve calculated the global forcing (in watts per square metre, written here as “W/m2”) that would be necessary to move that much heat into or out of the ocean. Figure 1 gives the results, where heat going into the ocean is shown as a positive forcing, and heat coming out as a negative forcing.

annual forcing into out of the oceanFigure 1. Annual heat into/out of the ocean, in units of watts per square metre. 

I found several things to be interesting about the energy that’s gone into or come out of the ocean on an annual basis.

The first one is how small the average value of the forcing actually is. On average, little energy is going into the ocean, only two-tenths of a watt per square metre. In a world where the 24/7 average downwelling energy is about half a kilowatt per square metre, that’s tiny, lost in the noise. Nor does it portend much heating “in the pipeline”, whatever that may mean.

The second is that neither the average forcing, nor the trend in that forcing, are significantly different from zero. It’s somewhat of a surprise.

The third is that in addition to the mean not being significantly different from zero, only a few of the individual years have a forcing  that is distinguishable from zero.

Those were a surprise because with all of the hollering about Trenberth’s missing heat and the Levitus ocean data, I’d expected to find that we could tell something from the Levitus’s numbers.

But unfortunately, there’s still way too much uncertainty to even tell if either the mean or the trend of the energy going into the ocean are different from zero … kinda limits our options when it comes to drawing conclusions.

w.

DATA: Ocean temperature figures are from NOAA, my spreadsheet is here.

0 0 votes
Article Rating

Discover more from Watts Up With That?

Subscribe to get the latest posts sent to your email.

274 Comments
Inline Feedbacks
View all comments
Editor
June 19, 2013 3:46 pm

Willis: I discovered my error. If you would, please strike my June 19, 2013 at 9:11 am comment. Or if you like, I will.
[REPLY: Thanks, Bob, you had me worried. I don’t ever delete my wrong postings or comments, although I have the ability and authority to do so, that wouldn’t be right in my world. Instead, I put in a note at the head of the comment or post saying [UPDATE: I erroneously calculated the results. -w.] or whatever the situation calls for. Even then I don’t disappear wrong numbers or conclusions. Instead, I use the html strikeout codes of strike and /strike to strikeout what was in error.
However … YMMV.
w.]

Ximinyr
June 19, 2013 4:22 pm

the Levitus dataset for 0-700 m is given quarterly; it has n = 233

Don K
June 19, 2013 4:28 pm

Alan the Brit says:
June 19, 2013 at 4:29 am
What they really mean, in placing limits of CO2 emissions, is making cars more economical, doing more kM/ltr or mpg. That is the only real way they can reduce vehicle emissions!
==========
Close. Actually, they could get fewer CO2 emissions from the same vehicle three ways:
1. As you suggest, make the conversion of hydrocarbons to motion more efficient. Lots of room for improvement there in theory I believe, but it’s not all that easy to do or it would be done.
2. Make the vehicle lighter. Also not easy
3. Switch the fuel from liquid hydrocarbons to methane (Compressed or Liquified Natural Gas). The exhaust stream will include more H2O and less CO2 because all of the energy produced from combustion comes from C-H bonds and none from C-C bonds.

Editor
June 19, 2013 4:39 pm

Willis, if I had read Levitus et al to determine how they defined storage (derivative of time), I could have saved myself the embarrassment. So I struck through my offending comment.
Again, great post.
Regards

David Riser
June 19, 2013 4:53 pm

Thanks Willis,
Excellent post along with some good comments. Particularly like your energy explanation. Was working on one myself for the same reason but yours was way better.

Ximinyr
June 19, 2013 5:14 pm

w:
so you agree, ocean warming is highly statistically significant for the 0-700 m region.
and for the 0-2000 m region, there is warming but the data is insufficient to conclude that at the 95% confidence level.

jorgekafkazar
June 19, 2013 5:45 pm

Bob Tisdale says: “My mistake on this comment.”
No real harm done, Bob. I eyeballed your results, compared them with Willis’s, decided it didn’t matter much. Willis had the more conservative numbers, which were quite acceptable, so I assumed they were right. If not, so much the better. Embarrassment is and should be an occupational hazard in Science done properly.

Ximinyr
June 19, 2013 6:45 pm

and, your methodology is flawed.
you aren’t calculating the trend of OHC, you are calculating the trend of the derivative of OHC. that is a very different thing.
to find if a body of water is warming, i.e. if the amount of heat Q it contains is increasing, you would calculate dQ/dt. that’s the slope of OHC(t).
but you have first calculated (essentially) d(OHC)/dt for each year, then calculated the slope of *that*. That’s more like the 2nd derivative, which you have found to be positive (but at some CL lower than 95%) — i.e that the rate of increase is (most probably) increasing.
a proper calculation of the linear trend of OHC for the 0-2000 region gives 0.27 plusmn 0.01 (1-sigma, no autocorrelation, entire Earth area). autocorrelation will increase sigma by a factor of sqrt((n_eff-2)/(n-2)), where n_eff can be calculated by your Nychka method. that’s a factor of (i’m guessing; i haven’t calculated the lag-1 correlation coefficient) 3 or so, but it’s certainly far less than 27/2, which means the trend in OHC is easily statistically signficant at the 2-sigma level.
conclusion: the 0-2000 m region of the ocean is most definitely warming.

Ximinyr
June 19, 2013 7:04 pm

w: the question isn’t really about your statistics, it’s about your physics.
you are calculating the trend of d(OHC)/dt, not the trend of OHC.

June 19, 2013 7:39 pm

The Ocean ate my homework is not a convincing argument…

Ximinyr
June 19, 2013 8:23 pm

sorry willis, you are not calculating the trend of OHC.
you are calculation the trend of the change in OHC, because you are assuming the forcing is proportional to the change in OHC.
your entire post is wrong. what you have proven is that the warming of the ocean is most likely accelerating.

Ximinyr
June 19, 2013 8:25 pm

i am using the pentadal 0-2000 m dataset:
http://data.nodc.noaa.gov/woa/DATA_ANALYSIS/3M_HEAT_CONTENT/DATA/basin/pentad/pent_h22-w0-2000m.dat
but the question isn’t about the data, but your interpretation of it (i.e. the physics), which you have badly muffed.

Ximinyr
June 19, 2013 8:29 pm

Re: showing work. given the data (link above), it is easy to calculate the trend and trend’s uncertainty with Excel’s LINEST function. then you can correct for autocorrelation if you so desire via n_eff. i assume anyone here can calculate the slope of a line using linear regression and there’s no need to show that work.
the issue is, you have not understood what you are calculating. this post is completely wrong.

Ximinyr
June 19, 2013 8:33 pm

what’s more, it’s *obvious* that you’re wrong. anyone can look at the graph of pentadal 0-2000 m OHC and see that it is increasing in an obviously statistically significant manner.
it’s the graph #2 here:
http://www.nodc.noaa.gov/OC5/3M_HEAT_CONTENT/

eyesonu
June 19, 2013 8:35 pm

Joseph Bastardi says:
June 19, 2013 at 4:54 am
Everyone knows my admiration for Bill Gray, so at the risk of bias, I live and die with his ideas. Let me share this with you:
http://typhoon.atmos.colostate.edu/Includes/Documents/Publications/gray2012.pdf
a great read
========================
Thanks for the link, I agree with you that it is a worthwhile read. Good graphics. Nice to see the radiative balances clearly expressed in the graphics. I intend to go over this paper by Gray again later.
Should be read by those trying to gain knowledge to keep up with some of the more involved discussions.

June 19, 2013 8:38 pm

jorgekafkazar says:
June 19, 2013 at 5:45 pm

Bob Tisdale says: “My mistake on this comment.”

No real harm done, Bob. I eyeballed your results, compared them with Willis’s, decided it didn’t matter much. Willis had the more conservative numbers, which were quite acceptable, so I assumed they were right. If not, so much the better. Embarrassment is and should be an occupational hazard in Science done properly.

=================================================================
I would add, “and nothing to be ashamed of.”
(We are talking “science” and not “grammar”, right?)

Ximinyr
June 19, 2013 8:39 pm

a great read
it might be if it had passed peer review. without that it means very little, and will have no influence.

ROM
June 19, 2013 8:51 pm

I guess I’m pretty dumb as I had never though of it this way
Judith Curry – “Climate etc” in her very recent post; “The New Republic on the ‘pause’” has this to say in her own comments.
[quote]Global warming is pretty much defined in context of the mean surface temperature. People live on the surface, not in the ocean below 700 m. Yes, warming the ocean interior will cause some sea level rise associated with thermal expansion. But this line of argument that warming in the deep ocean will change the climate (presumably due to changes in the ocean circulation) really just supports the argument for ocean circulations being a primary driver for climate (the natural variability hypothesis promoted by many skeptics).[ end]
If Trenberth’s missing heat is going into the oceans then the oceans are the main controllers of the global climate as they absorb, smooth out and transfer heat around the planet.
And when that “dangerous” heat is again released as promised by Trenberth, Hansen and etc, it is the Oceans that will again be controlling the global temperatures and climate.
Where does CO2 fit into that except in a minor and / or subsidiary role?
1 / If the missing heat is going into the oceans it’s not CO2 but the oceans that are the main controlling factor of the global climate [ nothing much new there, ]
2 / Or Trenberth’s “missing heat” has just gone plain missing and nobody yet knows why.
Or far more likely, that “missing heat” was never there to actually go missing.
The solar guys are probably the closest to the answers to the “missing heat” question.
All just another blatantly biased example of climate model vapourware and climate warming scientists running around as all their previous theories fail, with yet another hypothesis looking for an excuse to exist..
.

June 19, 2013 8:54 pm

Ximinyr says:
June 19, 2013 at 8:39 pm
a great read
it might be if it had passed peer review. without that it means very little, and will have no influence.

=======================================================
Perhaps you should at least “copy/paste” the commenter’s name with the date and time they made the comment you are responding to?