More on Trenberth’s Missing Heat

In the post Trenberth Still Searching for Missing Heat, we discussed the recent Balmaseda et al (2013) paper “Distinctive climate signals in reanalysis of global ocean heat content”, of which Kevin Trenberth was a coauthor.

Dr. Roy Spencer also has a recent post on that paper. I’ve cross posted Roy’s post following this introduction. Roy Spencer argues that it is possible for the oceans to warm to depth, while the surface temperatures remain flat, but… (No spoiler from me. You’ll have to read Roy’s post.)

Roy does note that arguments about continued ocean warming to depth “…depend upon global deep ocean temperature changes being measured to an accuracy of hundredths or even thousandths of a degree…”. That’s why all of the adjustments to the ocean heat content data are so critical to this discussion.

figure-1-global

Figure 1

If we were to consider the “unadjusted” ocean heat content data (represented by the UKMO EN3 data in Figure 1) to be correct, then the ocean heat content for depths of 0-2000 meters flattened as soon as the ARGO floats had reasonably compete coverage of the global oceans in 2003-04. It’s only when the ocean heat content data is corrected, tweaked, adjusted, modified, whatever (represented by the NODC data in Figure 1), that the global ocean heat content continues to warm in relative agreement with climate models.

START OF ROY SPENCER’S POST

More on Trenberth’s Missing Heat

April 8th, 2013 by Roy W. Spencer, Ph. D.

While I don’t necessarily buy Trenberth’s latest evidence for a lack of recent surface warming, I feel I need to first explain why Trenberth is correct that it is possible for the deep ocean to warm while surface warming is seemingly by-passed in the process.

Then I will follow up with observations which run counter to his (and his co-authors’) claim that an increase in ocean surface wind-driven mixing has caused the recent lack of global warming.

Can Deep Ocean Warming Bypass the Surface?

It depends on what one means by “warming”. A temperature change is the net result of multiple processes adding and subtracting heat. Warming of the deep ocean originally caused by radiative forcing of the climate system cannot literally bypass the surface without some effect on temperature. But that effect might be to keep some cooling process from causing an even steeper dive in temperature.

It’s like adding a pint of warm water, and a gallon of cold water, to a sink full of room temperature water. Did adding the pint of warm water cause the temperature in the sink to rise?

To appreciate this, we first need to understand the basic processes which maintain the vertical temperature distribution in the global oceans. The following cartoon shows a North-South cross section of measured ocean temperatures in the Atlantic.

Spencer Fig 1 ocean-mixing

The average temperature distribution represents a balance between 3 major processes:

(1) surface heating by the sun (mitigated by surface evaporation and infrared radiative loss) which warms the relatively shallow ocean mixed layer;

(2) cold deepwater formation at high latitudes, which slowly sinks and fills up the oceans on time scales of centuries to millennia, and

(3) vertical mixing from wind-driven waves, the thermohaline circulation, and turbulence generated by flow over ocean bottom topography (the latter being partly driven by tidal forces).

The key thing to understand is that while processes (1) and (2) continuously act to INCREASE the temperature difference between the warm mixed layer and the cold deep ocean, the vertical mixing processes in (3) continuously act to DECREASE the temperature difference, that is, make the ocean more vertically uniform in temperature.

The average temperature distribution we see is the net result of these different, competing processes. And so, a change in ANY of these processes can cause surface warming or cooling, without any radiative forcing of the climate system whatsoever.

So, let’s look at a few ocean mixing scenarios in response to radiative forcing of the climate system (e.g. from increasing CO2, increasing sunlight, etc.), all theoretical:

Scenario 1) Warming with NO change in ocean mixing: It this case, surface warming is gradually mixed downward in the ocean, leading to warming trends that are a maximum at the ocean surface, but which decrease exponentially with depth.

Scenario 2) Warming with a SMALL increase in ocean mixing. This case will result in weaker surface warming, and slightly stronger warming of the deep ocean, both compared to Scenario 1. The warming still might decrease exponentially with depth.

Scenario 3) Warming with a LARGER increase in ocean mixing. This case could lead to an actual surface temperature decrease, but warming of the deep ocean, similar to what I believe Trenberth is claiming.

Yes, the surface waters “warmed” before the deep ocean in Scenario 3, but it was in the form of a weaker temperature drop than would have otherwise occurred.

Because of the immense heat capacity of the deep ocean, the magnitude of deep warming in Scenario 3 might only be thousandths of a degree. Whether we can measure such tiny levels of warming on the time scales of decades or longer is very questionable, and the new study co-authored by Trenberth is not entirely based upon observations, anyway.

I only bring this issue up because I think there are enough legitimate problems with global warming theory to not get distracted by arguing over issues which are reasonably well understood. It takes the removal of only one card to cause a house of cards to fall.

But it also points out how global warming or cooling can occur naturally, at least theoretically, from natural chaotic variations in the ocean circulation on long time scales. Maybe Trenberth believes the speedup in the ocean circulation is due to our driving SUVs and flipping on light switches. He has already stated that more frequent El Ninos are caused by anthropogenic global warming. (Except now they are less frequent — go figure).

In some sense, natural global warming and cooling events are made possible by the fact that we live within an exceedingly thin warm surface “skin” of a climate system in which most of the mass (the deep ocean) is exceedingly cold. Any variations in the heat exchange between those two temperature worlds (such as during El Nino with decreased mixing, or La Nina with increased mixing) can cause large changes in our thin-skinned world. It that sense, Trenberth is helping to point out a reason why climate can change naturally.

Have Ocean Winds Increased Recently?

Trenberth and co-authors claim that their modeling study suggests an increase in ocean surface winds since 2004 has led to greater mixing of heat down into the ocean, limiting surface warming.

Fortunately, we can examine this claim with satellite observations. We have daily global measurements of ocean surface roughness and foam generation, calibrated in terms of an equivalent 10 meter height wind speed, from AMSR-E:

Spencer Figure 2 AMSR-E-ocean-surface-wind-anomalies

I don’t know about you, but I don’t see an increase in surface winds since 2004 in the above plot. This plot, which is based upon wind retrievals that have been compared to (as I recall) close to 1 million buoy observations, really needs to be extended back in time with SSM/I and SSMIS data, which would take it back to mid-1987. That’s on my to-do list.

So far, I would say that the so-called missing heat problem is not yet solved. I have argued before that I don’t think it actually exists, since the “missing heat” argument assumes that feedbacks in the climate system are positive and that radiative energy is accumulating in the system faster than surface warming would seem to support.

For the reasons outlined above, Trenberth’s view of deep ocean storage of the missing heat is still theoretically possible since increased vertical ocean mixing doesn’t have to be wind-driven. But I remain unconvinced by arguments that depend upon global deep ocean temperature changes being measured to an accuracy of hundredths or even thousandths of a degree.

Finally, as I have mentioned before, even if increased rate of mixing of heat downward is to blame for a recent lack of surface warming, the total energy involved in the warming of the deep oceans is smaller than that expected for a “sensitive” climate system. Plots of changes in ocean heat content since the 1950′s might look dramatic with an accumulation of gazillions of Joules, but the energy involved is only 1 part in 1,000 of the average energy flows in and out of the climate system. To believe this tiny energy imbalance is entirely manmade, and has never happened before, requires too much faith for even me to muster.

END OF DR. SPENCER’S POST

Back to Roy’s statement, “But I remain unconvinced by arguments that depend upon global deep ocean temperature changes being measured to an accuracy of hundredths or even thousandths of a degree”:

First consider that the ARGO floats have had “complete” coverage of the global oceans since 2007. The Earth’s oceans and seas cover about 361 million square kilometers or 139 million square miles. There were 3566 ARGO floats in operation in March 2013. If the floats were spaced evenly, then each ARGO float is sampling the temperature at depth for a surface area of approximately 101,000 square kilometers or 39,000 square miles—or an area about the size of Iceland or the State of Kentucky.

Second, consider that the ARGO era is when the sampling is at its best, but before ARGO temperature sampling at depth was very poor. Refer to the following animation. Temperature sample maps at 1500 meters (6MB). There is little observational data at depths of 1500 meters prior to ARGO. In other words, we have little idea about the temperatures of the global oceans to depths of 2000 meters and their variability before ARGO.

Third, on top of that, consider that ARGO floats have been found to be unreliable, hence the need to constantly readjust their observations.

Do we have any idea about the variability of the temperatures and ocean heat content of the global oceans to depth? Simple answer: No.

For more information on the problems with Ocean Heat Content data, refer to the post Is Ocean Heat Content Data All It’s Stacked Up to Be? and NODC’s Pentadal Ocean Heat Content (0 to 2000m) Creates Warming That Doesn’t Exist in the Annual Data – A Lot of Warming.

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John Parsons
April 16, 2013 10:59 am

Thanks Bob. I appreciate it when posters stick with their commenters.
Now, of course, I’m wondering where the energy comes from; for “…La Niña events [to] create warm water…” But, I accept that at some point it becomes my responsibility to find that information for myself. You’ve doubtlessly explained that before I became aware of your work.
I’m sure you can see where I’m going here. I’m trying to understand whether or not ENSO effects Earth’s radiative budget; or, as I had always assumed, ENSO’s effects are energy neutral in the long term.
Thanks for being so generous with your time. I’ll check out your blog.
P.S., I’ve noticed supporters of the Theory of AGW also report having their comments deleted on skeptic blogs. Seeing your posts at RC is encouraging. It also shows that one’s tone can make all the difference.
Cheers, JP

Anymoose
April 16, 2013 11:32 am

John Parsons:
Arrhenius theorized much, but proved nothing.

HankHenry
April 16, 2013 2:31 pm

To: Retired Engineer John. Thank you very much for your very informative answer.

Bart
April 16, 2013 6:30 pm

Retired Engineer John says:
April 16, 2013 at 6:49 am
This is very fascinating stuff. How it impacts the overall heat budgets is something I am not very clear on.
Bob Tisdale says:
April 16, 2013 at 3:55 pm
There is more than enough energy coming in from the Sun. One could think of it as similar to an ideal voltage source connected to an LRC circuit which takes in that voltage, stores it in alternating reservoirs producing oscillations, and discharges it in energy dissipating mechanisms.
Actually, a circuit much more complicated than a simple LRC, with many storage and dissipative elements, which oscillates in particular modes creating a complex waveform with components sometimes reinforcing one another to create a significant output, and other times detracting from one another to create a minimum sum of activity through constructive and destructive interference.

Rob Shaw
April 16, 2013 7:49 pm

Retired Engineer John
I can find no evidence that the specific heat of sea water is above that of pure water. Most values suggested for sea water are between 3.85 and 4.0 joules per gram per degree. The THC seems quite large enough to lose Kevin Trenberth’s lost energy in the depths of the ocean but the rate of warming would be immeasurably small viz 1/700th of a degree per year. By the time we run out of fossil fuel we could have raised the ocean temperature by 80/700 degrees which ain’t exactly catastrophic
Cheers
Rob Shaw

Retired Engineer John
April 16, 2013 9:08 pm

Rob Shaw April 16, 2013
The specific heat for pure water is 4.18 joules/degreeC/gram. A range of 3.85 to 4.0 for sea water is reasonable. I was wrong.

Rob Shaw
April 16, 2013 11:04 pm

Retired Engineer John
Thanks for that
Your heat of hydrolysis figure for Calcium Carbonate 12.3 KJ per mole . Is that a kilogram mole or a gram mole?Something like 90GtC are precipitated into the oceans per year. Most of this would be calcium carbonate wouldn’t it?
Cheers
Rob Shaw

Retired Engineer John
April 17, 2013 6:11 am

Rob Shaw April 16, 2013
The number is per mole and is taken from the table on this URL http://www.docbrown.info/page07/delta2H.htm
Your 90Gtc number looks like an estimate of the carbon produced by photosynthesis. A portion of that number is calcium carbonate; the rest is hydrocarbons. There is a repository of satellite data at Oregon State University that lists the yearly production. The reaction that I am talking about is a direct chemical reaction that does not involve photosynthesis.
On your post about energy in the deep ocean; it is more complicated because of the heat of hydration of sodium chloride. Please note the 4 kilojoule number for sodium chloride in the docbrown reference. This 4 kilojoules per mole must be removed before sea water can freeze. This starts happening around 4C and is the reason that most of the ocean is at a temperature of 3-4 C. This complexity is not recognized when calculations of ocean heat are made.

Retired Engineer John
April 17, 2013 8:32 am

Rob Shaw April 16, 2013
The URL for the Repository at Oregon State is http://www.science.oregonstate.edu/ocean.productivity/index.php
They state the productivity to be in excess of 100Gtc with roughly half of it to be in the Ocean. I have seen higher figures in other papers and this is just an approximation. The web site is complex and I haven’t tried to understand it.
There is a 2004 paper that is good because it gives you the detailed steps involved in making productivity estimates. It is here http://www.terrapub.co.jp/e-library/kawahata/pdf/343.pdf
This paper estimates a productivity of 60.4Gtc per year net and 124.7 gross. The energy absorbed to produce the gross productivity was 191.3X10E21 joules or 1.9X10E23 joules. When you see the net is about half; you have about 10E23 joules being converted to chemical energy and being removed from the enviroment. This gives you a feel for the carbon cycle. The calcium carbonate cycle removes enough heat to prevent the ocean from warming above 31C; but, I don’t know how to calculate the number of joules.

Phitio
April 21, 2013 2:24 pm

I will put there a post that was put in the Dr Roy’s blog.
The fact stated here is fitting and I think that cut the discussion.
Regards
Dr. Strangelove says:
April 17, 2013 at 1:24 AM
Dr. Spencer,
There is no “missing heat.” You can measure the heat in deep ocean not by thermometers at shallow depths < 700 m but by change in sea level. The ocean is a gigantic natural thermometer. Sea level rise when warmed and fall when cooled due to thermal expansion and contraction of seawater.
Thermal expansion can explain all your three scenarios. It doesn't matter at what level sea temperature is changing. Seawater will expand when heated whether at the top or bottom of the sea. It will manifest as a change in sea level. Is sea level rising or falling in the last 10 or 20 yrs? That will answer your "missing heat."

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