Guest Post by Willis Eschenbach
Sometimes a chance comment sets off a whole chain of investigation. Somewhere recently, in passing I noted the idea of the slope of the temperature gradient across the Pacific along the Equator. So I decided to take a look at it. Here is the area that I examined.

Figure 1. 17-year average temperatures, CERES dataset.
I’ve written about this temperature gradient before, in a post called The Tao of El Nino. If you take time to read that post, this one will make more sense. Here’s the money graphic from that post:

Figure 2. 3D section of the Pacific Ocean looking westward along the equator. Each 3D section covers the area eight degrees north and south of the equator, from 137° East (far end) to 95° West (near end), and down to 500 metres depth. Click on image for larger size.
The main idea put forward in that post is that the El Nino/La Nina phenomena function together as a cyclical pump to pump warm water to the poles. A cyclical pump has two cycles. In the first cycle, the El Nino intake cycle, the pump fills up with whatever is going to be pumped.
This intake cycle is shown in the left part of Figure 2, the El Nino section, you can see the buildup of warm water.
The second cycle of a cyclical pump, the ejection cycle identified as “La Nina”, is where the pumping action actually occurs. The result of this cycle is shown in the right part of Figure 2, where the warm water has been pumped out of the area.
What happens in this second cycle is that at a certain point, the warming of the equatorial eastern Pacific waters makes strong winds kick in. These winds push the warm surface water first to the west, along the equator in the blue zone shown above. From there, the warm water splits and moves towards both poles. Overall, this cools the planetary surface.
Given the effect of La Nina in terms of water movement, let me call the action of the combination the “La Nina Pump”.
I started my latest peregrination by looking at the long-term average slope of the temperature across the area encompassed by the blue box in Figure 1. Figure 3 shows that result for the Reynolds sea surface temperature dataset from 1981 on. Figure 4 shows the same result for shorter the CERES dataset, from 2000 on.


Figures 3 & 4. Long-term average equatorial Pacific sea surface temperatures, by longitude. This is the averages by 1° longitude of the ocean within the blue box in Figure 1. The Reynolds data serves to confirm the shorter CERES dataset … and vice versa.
The right-hand end of the blue box, at ninety degrees west longitude near South America, is the cold end. It’s at about 26°C (79°F) or so. At the other extreme, the left-hand end of the blue box, at a hundred fifty five degrees east longitude near Asia, is the hot end of the box. It’s at about 30°C (86°F). So this was good. I’d graphed out what they had called the “temperature gradient”.
However, this was not satisfying. I wanted to see how that temperature gradient changed over time. In particular, I wanted to see how it responded to El Nino and La Nina events.
So I made up a movie, showing month by month from 1981 to 2018 what the temperatures in that area were doing. However, that movie, too, was not what I wanted, because I couldn’t see what the status of the El Nino was.
As you might imagine, my next move was to add the MEI, the Multivariate ENSO Index, to the movie. Of course, having done that, I also had to add the NINO34 Index, the Oceanic Nino Index (ONI) and the inverted Southern Ocean Index (SOI).
So I made the movie, and I watched it over and over to try to understand what was happening. I realized that a) the various NINO indices all moved as a fairly tight group, and b) it sure looked to me like the NINO indices moved in sync with the average temperature of the entire region in question.
So I checked to see how well the average temperature for that area (8°N/S Latitude, 155°E – 90°W Longitude) matched the other El Nino indices. Figure 5 shows that match. I’ve used the Reynolds OI sea surface temperature dataset, available here, to calculate the average area temperature.

Figure 5. El Nino indices, including the average temperature 8°N/S latitude, 155°E – 90°W longitude. All indices have been standardized. The SOI has been inverted to agree with the sense of the other four indicators.
As you can see by how little of the red line is visible, the average temperature of that blue box area tracks almost exactly with the other indices. So I added the average temperature to the El Nino indicators, and here’s what that final movie looks like.

Figure 6. Movie showing the month-by-month changes in the cross-Pacific equatorial temperature gradient. Southern Ocean Index is inverted. All El Nino indices are standardized to a mean of zero and a standard deviation of one.
I was greatly encouraged by a couple of things in this movie. One is the similarity of this action to that of an old-time fireplace bellows. It looks like a pump. Doesn’t mean anything … but I liked it.
The second encouraging thing was finding out that the average temperature of the area is an excellent indicator of the state of the El Nino phenomenon. It tracks very closely with all of the other El Nino indices. This brings up an interesting possibility, that I can do something I’ve wanted to do for a long time. This is to estimate the total amount of energy moved by the La Nina Pump. I’ll get to that in a minute.
Using the average temperature of the blue box area as an El Nino index, here’s what happened in that region over the past 37 years regarding the La Nina Pump.

Figure 7. Repeated cycles, El Nino and La Nina, as shown in average equatorial Pacific temperatures.
After pondering and examining this graphic for a while, I realized a most curious thing. The oddity is that in all cases, the temperature drop associated with the La Nina phenomenon began in November, and ended in the following November. Figure 8 shows all of the drops in the record that match that criterion. The shaded areas go from one November to the following November.

Figure 8. Highlighting the 13-month temperature drops associated with the La Nina Pump.
I like this graphic because it gives what seems to be a novel and very clear and unambiguous way to identify the intermittent operation of the La Nina Pump—it starts in November and ends the following November. It’s also quite curious, in that the one-year drop happens with both large and small El Nino/La Nina combinations.
Let me note that this is quite a different interpretation than the normal one, where a warm equatorial Pacific Ocean temperature is called “El Nino” and a cool ocean is called “La Nina”. This is a functional definition of the La Nina Pump, seen as starting when the ocean is warm and ending when the ocean is cool.
So finally, let me look at how much energy is transported by the El Nino Pump. Temperatures generally don’t change much vertically in the “mixed layer” of the ocean. This is the top 10 – 100 metres (33 – 330 feet) of the ocean which is constantly being mixed by the action of wind, currents, and nocturnal oceanic overturning. See here for details. Figure 9 shows the long-term average mixed layer depths.

Figure 9. Average mixed layer depth, metres. Allow me to digress a moment regarding the mixed layer. In the great Southern Ocean surrounding Antarctica, the latitudes from 40°S to 49°S are called the “Roaring Forties”, after the nearly continuous storms there. Heck, I just looked, it’s storming there right now. No surprise. And the latitudes in the next band south, from 50°S to 59°S, are called the “Screaming Fifties”. I always figured that “screaming” referred to the sailors, not the wind, so I’ve never taken a boat there. My point is that you can see how these insanely strong and constant winds, combined with cold, generally sinking surface waters, result in a mixed layer a hundred metres deep and more. We now return you to your regularly scheduled programming.
In the area of the Pacific in question, the mixed layer depth averages about 50 metres. However, it’s shallower in the eastern Pacific where the largest temperature swings are, so I’ll use 40 metres as a weighted average.
Now, I can estimate the amount of energy moved by noting that it takes about 4.1 megajoules of energy to raise a cubic metre of water by 1°C. And since we’re assuming that the mixed layer is approximately the same temperature from the top to the bottom, it takes about 4.1 * 40 metres deep ≈ 165 megajoules/square metre/degree to warm a one square metre X 40 metre deep column of the mixed layer by one degree.
Next, to calculate the total amount of energy lost, I looked at the total of the temperature drops during the shaded times in Figure 8 above. This was a total of 16.5 degrees of direct La Nina temperature drop over the period of record. I multiplied that by the 165 megajoules per degree and divided by the number of years, giving 74E+ joules/square metre/year. Then to convert joules to watts I divided by seconds per year, giving a final average constant energy loss of 2.4 watts per square metre.
What does this mean in more intuitive units? Well, over the period of record, the area shown in red above ended up 16°C cooler than it would have been without the La Nina cooling episodes shown in Figure 8.
Ruminations on the Equatorial Temperature
The first thing that strikes me is the total absence of any temperature trend in the last 37 years in this large region of the equatorial Pacific. This supports the idea that the El Nino Pump is part of the global thermoregulatory system. When warm tropical water builds up in the eastern Pacific, the La Nina winds spring into existence and they blow all that warm water first west to Asia, and thence to the polar regions. It is this La Nina Pump action, removing the warm water so it can be replaced by colder water from underneath, that prevents the equatorial Pacific from overheating.
In addition, the La Nina Pump does not just prevent overheating. This kind of threshold-based emergent phenomenon serves as an active thermostat. To do that in a lagged system, it must have “overshoot”. This means that at the end of a La Nina pump cycle, the temperature must be below, even well below, the long-term average … see Figure 8. From there it warms up until the next La Nina pump cycle, and so on. Net result?
Thermostatically controlled Pacific tropical temperature.
Anyhow … that’s what a chance reading of the idea of the “Pacific equatorial temperature gradient” led me to.
Best wishes to all on a sunny summer afternoon. 
The coastal fog burned off a couple of hours ago, and the plant-based solar collectors in the forest that surrounds our house are working overtime, soaking up CO2 and using sunshine to convert it to O2 …
w.
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When the climate changes either through a climatic shift or to a different climate regime what has been used as some kind of a standard will probably not hold up.
The climate is not going to stay in the same regime it has essentially been in since coming out of the Little Ice Age.
I expect at the very least a climatic shift which I think has already began.
Because of all the multiple lags in system response, lags that have phase delays of days to weeks to months to years to decades to centuries to millennia, the climate system is never at equilibrium.
Apologies – no time to provide references now – will do later if anyone is interested.
Equatorial average air temperature and humidity follow Equatorial Pacific Ocean temperature – about 3 months after the Nino34 SST Anomaly and about 5 months after the East Equatorial Upper Ocean Temperature Anomaly.
Global average air temperature follows Equatorial average air temperature and humidity about 1 month later.
Global average air temperature (and the Equatorial Pacific Ocean SST’s) have a natural temperature cycle averaging about 36 months peak-to-peak. For example, see the red line in the UAH LT plot, which averages 36.3 months peak-to-peak.
http://www.drroyspencer.com/wp-content/uploads/UAH_LT_1979_thru_June_2018_v6.jpg
Here are my questions:
Why ~36 months? What drives this number? Is it essentially a “natural period” of the Equatorial Pacific Ocean?
Hypothetically, if the Pacific Ocean were narrower, would the period be less, say 24 months?
Regards, Allan
My recent Hypo:
The aforementioned ~36 month period in the equatorial Pacific ultimately drives the ~9 month LAG in atmospheric CO2 trends AFTER global temperature trends – that I published in 2008, as re-stated by Humlum et al in 2013.
https://www.facebook.com/photo.php?fbid=1551019291642294&set=a.1012901982120697.1073741826.100002027142240&type=3&theater
This is the LAG of CO2 after temperature that few climate scientists want to acknowledge. I believe it proves that climate sensitivity (TCS, etc) to increasing atmospheric CO2 is very low, such that TCS may not even exist in measurable quantities.
Ergo: CLIMATE CRISIS CANCELLED.
“Cogito, ergo sum.”
[I think, therefore I am.”]
– René Descartes
“Cogito, ergo sum, ???”
[I think, therefore I am… I think.”]
– The Moody Blues 🙂
Wonderful work Willis.
As someone who has monitored ENSO closely for the past 2 decades, I have come to the conclusion that the La Nina Pump you refer too remains in place most of the time even through designated weak to moderate El Ninos. It only shuts down properly in Super Ninos.
Trade winds may weaken but not shut down for any length of time unless strong Ninos. I believe we are entering one of the weaker events and it will result in minimal regional impacts other than the shift oscillation West and East of the normal location of the Asian monsoon.
Regarding the November cut off I think this is a function of the south Pacific normally being colder than the north side of the equatorial Pacific and this cold anomaly ends after the SH winter in Oct/Nov before warming for the SH summer. You can see this right now. Look at Nino region SST anoms are increasing but actual SSTs are continuing to cool due to seasonal cooling outweighing any warm anomalies.
Also note the trade winds continue to be robust. No sign of weakening.
http://www.cpc.ncep.noaa.gov/products/analysis_monitoring/enso_update/ugdas_c.gif
Willis wrote: “Given the effect of La Nina in terms of water movement, let me call the action of the combination the “La Nina Pump”.
Any pump must have a source of fluid and an outlet. You assert (quite reasonably) that the warm water pumped away from the equator in La Nina years head towards the poles. Where does it come from?
I’ve always assumed that the Eastern Equatorial Pacific is so much colder than the Western because two possibilities: surface currents flowing northward from Antarctica along South America OR upwelling of deep ocean water off the coast of Peru and Ecuador. (Nutrient-rich upwelling allegedly is the reason fishing is so good there in non-El Nino years.)
If upwelling could be the source of cold water at one end of your pump, then downwelling must occur at the other end of the pump.
https://en.wikipedia.org/wiki/Humboldt_Current
There are two sources of the cool water, both upwelling from cooler deep water caused by wind friction on the sea surface inducing ekman pumping. 1. Humboldt current causes continental upslope flow. 2. Either side of the equator in the Nino region, ekman pumping induced flows away from the equator allow upwelling of cold deep water again driven by strong persistent tradewinds.
The reason why the eastern tropical Pacific warms often rapidly is the Tradewinds shut down and sometimes reverse which stops upwelling of cool deep water and instead pools surface warm water near the equator plus with no cold upwelling solar heating takes over.
I really, REALLY like this. Because you have discussed heat transfer. There is a reason alarmist papers do not mention thermodynamics. And your time-sequenced analysis is compelling.
Thanks Willis. What surprised me was the 2-3 degree swings in temperature, with most of the swings happening in the east, very little change in the west, compared to the 0.1-0.2 degrees per decade that we are told is happening because of rising CO2. It would be interesting to now see the temperature changes away from the equator as the “pump” pumps.
Our world is a wonderful thing.
This brings refreshing clarity to the old ENSO chestnut – and as such questions some well-established assumptions. Great post Prof Essenbach!
For instance dogma has arisen which is wrong – that El Niño brings warmth and La Niña cold. Further, that there are “el Nino dominated” warmer periods and “La Nina dominated” cool ones. Willis shows here that this idea makes little sense if the little boy and girl are two phases of the same pumping cycle.
The pumping cycle described relates to one sort of El Niño event, the classic type driven by the Bjerknes feedback in which there is an excursion of the Peruvian upwelling to trade winds positive feedback. It is this excitability and feedback that is the fuel and energy that moves all that warm water poleward. In this case, it makes no sense to say the first El Niño half of the cycle is a warming event while the second La Niña half is cooling. No – the combined cycle has an overall warming effect globally by moving more ocean heat poleward.
The other kind of “el Niño” (that really shouldn’t be called El Niño) is the “Modoki” kind. It could be called the “everything but the girl” kind. In this ENSO event the mid equatorial Pacific surface warms, not the east off Peru. Most crucially there is no run of the Bjerknes feedback. The trades and Peruvian upwelling both may falter but neither is really ever interrupted. The mid equatorial Pacific just gradually warms then gradually cools back down again. There is no real La Niña after it. A cooler east Pacific equatorial region returns that might look like a La Niña, with robust trades, but it isn’t, there is no engagement of the Bjerknes feedback so no resonant energy to pump water poleward. So everything just gradually dissipates. (That’s where we are now.)
So the Modoki kind of El Niño – like the latest 2016 one – is not followed by a true La Niña and there is no enhanced pumping of warm water poleward. All the energy slowly dissipates and the net effect is global cooling.
It would make more sense for alternate warming and cooling periods to be characterised by classic type and Modoki type ENSO cycles, respectively, than by El Niño and La Niña.
And yes – it’s not surprising that features of the classic El Niño-La Niña cycle always happen in the same months, since the ENSO is annually forced.
Willis – would it be correct that say that there are two competing routes for climate to move excess heat away from the equatorial region? Poleward ocean water pumping (heat goes to Arctic), and thunderstorms (heat goes to space)?
An excellent post, based on real-world data and not just theory and models!
I did notice something in your “movie” of the west-to-east temperature gradient.
During La Nina or neutral conditions, the highest temperatures are at the west end of the box, and the lowest at the east end, while the El Ninos tend to increase the temperatures at the east end.
But during very strong El Ninos (especially 1998 and 2015-16), the peak temperature seems to push eastward to somewhere between the International Date Line and 150 degrees West longitude, with lower temperatures near Asia (155 to 180 degrees East), almost like a “heat wave” pushing to the east from Asia to the mid-Pacific.
Do you have a theory or an explanation for this apparent eastward movement of heat (or warm water) during El Ninos?
Looks like a unanimous response by all. Great post. Looking at the chart, figure 8, showing Nov – Nov grey zones, should there be another around 2003/2004?. Seems to show a reasonable temp drop around that time too. Cheers. Macha
Willis: excellent post and interesting ideas, as we have come to expect from you. One part I didn’t get was when you said:
“Well, over the period of record, the area shown in red above ended up 16°C cooler than it would have been without the La Nina cooling episodes shown in Figure 8”
The temperature ranges in figure 8 (and elsewhere in the post) are from 26°C to 30°C. That’s 4°. Where’s the other 12° of cooling?
Thanks, Rocky. The area has repeatedly warmed and cooled. The total of the cooling cycles due to the La Nina pump is about sixteen degrees C.
w.
Not a pump but a grand cycle caused by who knows. My theory is a connection to the poles. La Nina favoritism in the North Pacific is an expression of the cold phase of the Pacific Decadal Oscillation. It appears to me to be related to low ice extent in the Arctic. The last long period of La Nina favoritism probably kicked off from the low ice conditions in the Arctic from the late 1930’s into the 1950’s when the first one summer transit of the NW passage occurred. La Nina record only goes back to 1950 and that’s backcast as it is. La Ninas were favored through the 50’s, and 60’s and maybe into the 70’s. The mechanism by my guess is ice extent retreats, stripping insulation off the top of the ocean. Then winds over this newly open water in some kind of decadal scale super cool surface waters, creating polynyas and all sorts of slush ice and other precursors to the freezing. Freezing saltwater squeezes brines out of the water that descend to the bottom of the ocean. That moves water, perhaps along the thermohaline currents at the bottom of the ocean. On the Peruvian coast you have prevailing offshore easterly winds. Offshore winds cause cold water upwellings. Those offshores are fed by the large mid ocean clockwise rotating gyres influenced by the Coriolis Effect. Theory has the Peruvian coast as an upwelling point of the thermohaline system along with one down in western antarctica. This creates a push of water off the Peruvian coast towards the western Pacific, with surface waters being warmed by the sun. Off California the water is relatively cold because of the Coriolis Effect and its influence on winds and currents. So during La Ninas, southern California in particular experiences anomalous cold water conditions as an enhanced circulation somehow connected to La Nina. Cold water down the coast. High ice conditions in the Arctic are associated with the warm PDO and a favoritism to El Nino. Seems most scientific thinking doesn’t believe much influence travels the Bering strait out of ENSO and that high and low ice in the Arctic are more likely in the Atlantic with the Gulf Stream pumping a lot of warm water into the Arctic. This whole system has a strong association, albiet over a short period of time with global mean temperature variation creating the warming peaks somewhere around 1878, 1944, and somewhere between 1998 and 2016. The amplitude of this oscillation has approached .8C. 18 years according to the apparent cycle would be a 1/4 cycle or represent variously a valley bottom, a hilltop, a cooling slope, and a warming slope. The warming slope was identified by Ben Santer for IPCC AR3 as a 17 year warming period quite conveniently tucked between a cool valley and the recent hilltop. I am betting on no effects from CO2 so the next 18 years should be interesting again keeping in mind there is no reason except the prognostication of 72 year full cycles based on the orbits of the planets circling the sun from astrometeorologists who at least some of are currently predicting cooling for the next couple decades starting this past winter (a prediction made at least a couple of years ago). http://solarcycle24com.proboards.com/thread/2403/global-cooling-nears-2017-2053
In relation to La Nina beginning and ending in November…
The LRC (Lezak’s Recurring Cycle)
A unique weather pattern sets up every autumn between October 1st and November 10th.
An apparent connection between the annual pattern of La Nina and the LRC which is tool aimed at forecasting weather features months in advance.
Thank you. This is an intriguing addition to your series on the pump and thermostat. Aside from the November onsets, are you able to make any predictions about future la Ninas?
Terrific informative work. Thank you Willis.
Query please.
In Fig 5 it is stated that the Southern Ocean (Oscillation?) Index is inverted to agree with the sense of the other four indicators.
It’s also stated in Fig 6 that the SOI is inverted, but is it?
In 1997 it indicates a La Nina (in Fig 6) while the other dots indicate correctly an El Nino.
Would it be better to have the yellow dot move in the same direction as the rest “to agree with the sense of the other four indicators”?
Willis: A fascinating analysis. In the days when I was studying electrical engineering (I am a mechanical engineer) the mechanism you have been described would have been known as a ‘bi-stable multi-vibrator’ aka ‘flip-flop’. The next thing is to establish the nature of mechanisms which trigger the flips and flops.
I think you may also describing part of what may drive glacial-interglacial cycles. A hot object gives off more heat than a cool one and the hotter it is the faster it looses that heat, so when incoming, solar energy exceeds that leaving the atmosphere, the planet warms, this increases the amount of heat leaving until the energy leaving the planet exceeds that coming in and the planet cools.
At peak glaciation the very little energy is given off and the incoming radiation easily exceeds the outgoing, but not enough to warm the planet until a Milankovitch trigger produce sufficient insolation to start warming and the glaciers retreat into an interglacial. Then as heat loss increases more is leaving the planet than is coming in from the declining insolation, and the planet begins to cool into a new ice age. Having high CO2 during an interglacial has never prevented a new ice age cycle from starting.
This implies that the IPCC’s much feared runaway global warming can never happen as the hotter the earth gets, the more heat it will loose and when losses exceed gains the earth will cool – a very slow seesaw like process of self correction, of which the la Nina pump is one example?
Remarkable design. Are we allowed to mention God?
What would the reason be for this design?