Guest Post by Willis Eschenbach
As a confirmed data junkie, I’m fond of hourly data. The interesting processes in the climate system unfold on the scale of minutes and hours, not years. So I picked up a project I’d started a while ago, but as is too often the case I’d gotten sidetractored by … oooh, shiny … and I’d forgotten about it until I stumbled across my code again.
This project was looking at the hourly averages of various meteorological variables measured at the observatory on Mauna Loa, Hawaii. This is the same place that the CO2 data has been measured since 1959. The data is available here.
To start with, here is the daily temperature at three different altitudes—2 metres, 10 metres, and 35 metres.
Figure 1. Daily cycle of average temperatures at three different altitudes above the ground.
There were some interesting parts of this to me. One is that the surface temperature peaks at about 1 PM … but as you go up in altitude, the peak occurs earlier. Hmmm …
Also, I was surprised that ten metres up in the air the daily variation is less than half of that down at two metres.
Because the atmosphere is heated from the bottom, it is unstable during the day, and overturns. During the night, on the other hand, the atmosphere is coolest at the bottom, so it stabilizes and stratifies. You can see the timing of the onset and the end of the daytime period of turbulence, which starts just before nine am, and lasts until just after dark.
Next, here is the average precipitation rate hour by hour:
Figure 2. Daily cycle of average precipitation rates, millimetres per hour.
Here, we see the typical sequence of weather around a tropical island. The big peak in thunderstorms occurs in the afternoon around three or four o’clock. You also get a much smaller number of early morning thunderstorms.
Next, I looked at the winds:
Figure 3. Daily cycle of average wind speed, metres per second.
This shows something interesting. The “terminator”, in addition to being a series of increasingly bad movies, is the name for the line between light and dark on the surface of the planet. On one side of the terminator, the light heats the air near the surface. This makes the air rise on the lighted side of the terminator. The existence of warm lighter air on the lighted side, plus cool heavier air on the dark side, leads to the “terminator wind”. This is a wind created by the temperature difference across the terminator.
This plot shows the difference between the dawn terminator wind and the dusk terminator wind. The terminator wind always blows from dark to light, which means it always blows toward the sun. Now, the trade winds in the tropics always come from the east and blow towards the west. So at dawn, the terminator wind opposes the trade winds, because it is blowing out of the darkness in the west towards the sun rising in the east. This leads to the drop in wind speed after dawn that you can see in Figure 3.
But at dusk, the terminator wind blows in the same direction as the trade winds, and this increases the average wind speed after the end of the day. Can’t say I understand the rest of the variation, though. I do note that the wind picking up and dying down occurs at the same time as the onset and dying out of the daytime overturning.
(Curiously, I found out about terminator winds by spending lots of time at sea. The sweetest terminator wind is on a dead calm night, not a breath of air … and then the moon rises, and if you are lucky, you can feel the moon wind sweep across the ocean, always blowing towards the moon … but I digress.)
I next looked at the absolute humidity. This one was a surprise.
Figure 4. Daily cycle of absolute humidity, in grams per cubic metre.
The reason that this was a surprise to me was that I had not expected it to vary that much. From a low of two grams per cubic metre at dawn, it more than doubles when it rises to a peak of five grams per cubic metre at three pm. Why is this important?
Water is the dominant greenhouse gas. Because it is an “L-shaped” molecule, water vapor has many ways to absorb radiation. The molecule can flex and twist and stretch in various combinations, so it absorbs thermal radiation (longwave infrared) of a wide variety of frequencies. The important point is this:
The change in the amount of longwave infrared absorbed by atmospheric water vapor is approximately proportional to the log of the change in the amount of water vapor.
And the amount of water vapor in the air varies during the day by a factor of about two and a half to one … I’d never realized how much greater the afternoon longwave absorption is compared to the absorption at dawn. Who knew? Well, I’m sure some folks knew, but I didn’t.
So I fell to considering the effect of this daily variation. The increase in atmospheric absorption will warm the afternoons, and decreased absorption will cool the early mornings as compared to the average. Now, one corollary of Murphy’s Law can be stated as:
Nature always sides with the hidden flaw.
In terms of the climate system, the poorly-named “greenhouse effect” works to increase the surface temperature. Murphy’s Law means that all related emergent, parasitic, and other losses in response to that surface warming will tend to oppose this effect. In other words, we expect the natural response to elevated surface temperature to be one of cooling of the surface.
For one example among many, when the desert surface gets hot, “dust devils” emerge out of nowhere to cool the surface by means of increased evaporation and convection. They pipe the warm surface air aloft, increasing surface heat loss. But there are no “anti-dust-devils” that act to decrease surface heat loss … Murphy’s Law in action.
Now, the radiative loss varies as the fourth power of the temperature. This means that if the temperature varies around some average value, the radiative losses will be larger than if the temperature were steady. As a result, since the variation in absolute humidity warms the afternoons and cools the early mornings, to that extent it will increase the overall surface radiative losses … Murphy at work again.
Anyhow, we’ve now finally gotten to my reason for writing this post. The figure below shows one more meteorological variable measured at Mauna Loa—the daily cycle in air pressures.
Figure 5. Daily cycle of atmospheric pressure, hectopascals. Note that because of the high altitude of the observatory, the pressure is much lower than the ~1000 hPa pressure at sea level.
I was, and I remain, puzzled by this variation. Why should the pressure peak at both eleven o’clock in the morning and eleven at night, and be at its lowest just before both sunrise and sunset? And why would the two peaks and the two valleys be about the same amplitude? That question is why I’m publishing this post.
All contributions gratefully accepted …
w.
Further Info: The procedure used for the Mauna Loa CO2 measurements is here. For those who think Mauna Loa is a bad choice for CO2 measurements because it is an active volcano, give it a read.
My Usual Request: If you disagree with me or anyone, please quote the exact words you disagree with. I can defend my own words. I cannot defend someone’s interpretation of my words.
My Other Request: If you think that e.g. I’m using the wrong method on the wrong dataset, please educate me and others by demonstrating the proper use of the right method on the right dataset. Simply claiming I’m wrong doesn’t advance the discussion.
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So I’m no expert, but isn’t the explanation just atmospheric tides?
If you mean lunar tides, they don’t happen at the same time every day.
w.
The largest component in atmospheric tides are due to diurnal solar heating, not lunar gravity effects. While there are both solar and lunar gravity signals in atmospheric pressure data, most of the variation is due to diurnal heating. At least, that’s how I currently understand it. Hope I’ve got that right…
See this article in ScienceDaily…https://www.sciencedaily.com/releases/2008/12/081203092437.htm for more info on solar driven density waves in the Earth’s atmosphere relating to Mauna Loa measurements.
“If you mean lunar tides, they don’t happen at the same time every day.”
If you’re looking at a long term record, wouldn’t the 24.8 hour lunar component of gravity induced tides tend to average out to zero while the 24.0 hour solar component reinforced itself with every additonal day of data?
Yes – atmospheric tides.
Wikipedia has a good explanation https://en.wikipedia.org/wiki/Atmospheric_tide
“Atmospheric tides are primarily excited by the Sun’s heating of the atmosphere… This means that most atmospheric tides have periods of oscillation related to the 24-hour length of the solar day”
“At ground level, atmospheric tides can be detected as regular but small oscillations in surface pressure with periods of 24 and 12 hours.”
Cool!
(Sorry for duplicate post below – better as a reply)
Instrument siting relative to prevailing winds? Wild guess.
Tidal forces work on a liquid medium so why not a gaseous one? A comparison with local tides would be a test of this hypothesis.
Perhaps at 11 am the water vapour plus other gas column above the island is becoming saturated with water vapour and precipitation follows when it rains reducing the weight of the column hence its pressure.
At night the relative humidity remains high as the air water vapour column cools and becomes more dense. Falling more dense air/water vapur column draws in more air so the total column above the island rises in mass.
Could it be an atmospheric tide?
Solar tide I meant. There was another piece I read on WIWT a little while ago about correlation of precipitation with solar tidal atmospheric forcing.
Mauna Loa Observatory is located at 3.4 km on the north slope of Mauna Loa, which is nearly 4.3 km high. The meteorology at MLO is strongly influenced by the mountain. For example, during early morning a thin layer of air flows down from the summit, which causes the wind vanes to point accordingly. Later the air may be perfectly still or from other directions. During mid-morning the inversion layer rises from below. If it reaches MLO, the ambient water vapor increases dramatically and cumulus clouds appear overhead. On some days the clouds form an overcast. Before sunset, the clouds usually dissipate. I have calibrated instruments at MLO at least once a year since 1992 and will do so again this summer. I typically stay at MLO for 2 weeks during these calibration sessions. In addition to calibrations, I compare my twilight measurements that provide elevation profiles of aerosols with results from the MLO lidar. Various papers cover the meteorology at MLO. So does “Hawaii’s Mauna Loa Observatory: Fifty Years of Monitoring the Atmosphere” (Univ. of Hawaii Press, 2012). (Disclosure: I wrote this book with partial support from NOAA.)
We are in the presence of greatness! Another fine post from Willis Eschenbach, one of the greatest data-tinkerers of our era, and here! And here is one of the world’s finest engineer-tinkerers. I am grateful to thank you Mr. Mims for all those articles in Popular Electronics and your books, especially the precious little hand-drawn graph paper ones I used to carry around as a kid, the same way some people carried bibles or poetry in times past. You have helped inspire in me the joy of building things, and a life-long dream of becoming an electrical engineer. Though I’m over 50 now and time is running out and the economy has gone south and yet anything is possible and it’s a beautiful world. Thank you for being a part of it, sir!
I agree 100%. Mr. Mims also is a regular provider for scientific items in the Express-News here in Texas. About 6 month ago a friend suggested I contact him to show him my hand drawn graphs. Unfortunately, the articles were not appearing anymore so I have been waiting to see his name in print again. This is my chance to have him contact me.
Mod. please provide him with my e-mail address.
LeeO – Concan
I can only agree. Forrest Mims is one of my scientific heroes. He used to write the “Amateur Scientist” column for the once-great Scientific American magazine. I always read his contributions with great interest.
w.
Bernoulli’s principle?
Wind speed drops, pressure goes up.
Yes. Both caused by different responses of sea and land, causing wind from sea during the day and wind towards the sea during the night.
Yes, Willis.
Since wind speed it the only other variable you have which shows a semi-diurnal variation, I would say the clue is there.
Timing of the minima in wind are not quite the same but not far off either.
And vice versa.. pressure difference causes wind.
just an off the wall idea of a solar tide
Interesting data! I know this is stating the obvious: but if the old PV=nRT still holds true on Mauna Loa, and if P is varying with such regularity, then either n or T or V or some combination of the three is/are varying to create the P change. What does the data look like when you superimpose the wind velocity (driven by delta P), T and Humidity over the changing P plot?
Don V says: February 20, 2016 at 6:08 pm … if the old PV=nRT still holds true …
Only if there’s no external heat entering or leaving the “cube” of air.
But there’s sunlight during the day, radiative cooling at night, and bulk motion of air up and down the hill.
Those are, I believe simply the atmospheric tides. They are about the right amplitude for that latitude I think. If you want to learn more, see here:
Atmospheric Tides, Richard S. Lindzen, Sydney Chapman, Space Science Reviews 10, 1969.
I am fairly certain you can find this on line for no charge.
Just for “fun”, I downloaded a year’s worth of pressure readings from the Hilo airport (available on MesoWest). The link below displays a graph of average daily pressure for the year 2015. Hilo is at sea level so I scaled the readings by 0.67 so they would have the same average as Willis’ data to make comparison easier.
https://wordpress.com/post/wxobserver.wordpress.com/44
What would one conclude from this?
Sorry, that’s a bad link. Try here instead:
https://wxobserver.wordpress.com/2016/02/21/average-daily-pressure-at-hilo-2015/
Nice … I do appreciate a man who does his own investigations.
w.
Brisbane (http://www.clevelandweather.net/barometer/default.php) somewhat similar, but I am not one to help explain…………….
High 1018.0hpa @ur momisugly 9:44
Low 1014.7hpa @ur momisugly 2:44
“But at dusk, the terminator wind blows in opposition to the trade winds…”
Don’t you mean the opposite of opposition with the opposite direction of the previous example being in opposition as well?
Too right, fixed.
w.
Sfc pressure is the weight of the atmospheric column of air above the sensor. At night surface radiative cooling sets up downslope Katabatic winds which remove air from the air column thus lowering air pressure. When the sun comes up this process is reversed with surface warming induced Anabatic upslope winds. However if free convection takes place (clouds/thunderstorms) air rises into the upper atmosphere and disperses away from the top of the column near the tropopause. This removes air from the column over the sensor lowering pressure but only after mature convection is established with upper outflow. Before this air is accumulating over the sensor so hence rising pressure.
This process is similar to other mountain density wave events like Morning Glory in Northern Queensland Australia which is truly an amazing sight. I suspect there is a regular density wave spike in pressures that moves away from Mauna loa most days.
http://www.morninggloryaustralia.com
Worth looking at. Simply stunning weather phenomenon at its best.
@ur momisugly pbweather,6:32 pm Feb 20. Thanks for the information and the stunning video, never knew the phenomena existed, truly spectacular!
Nice work Willis. I agree with Forrest Mimms that the diurnal patterns on the volcano are likely to be strongly influenced by the orographic aspects of the volcano.
I notice that the peak in absolute humidity corresponds with the peak in precipitation. It would be nice to have incoming solar radiation data to verify, which I suspect may be available, but most likely it is very cloudy when the absolute humidity is high and the clouds would reflect most of the incoming sunshine before it could interact with water molecules within and below the clouds.
I was busy today and have not had a chance to work with the data yet, but I plan to compile daily, monthly, and annual stats to look at long term trends. Maybe you have already done this for a future post?
I think you’ll find it cycles with temp, at night cooling near 100% rh condenses water out, and then a lot evaporates during the warming cycle during the day.
Managed to get the data compiled and graphed the annual averages:
http://www.esrl.noaa.gov/gmd/obop/mlo/programs/coop/crn/img/img_crn_3.jpg
There does seem to be a slow-down in the temperature rise since 1995:
Oops. That first image is the USCRN station at Mauna Loa. Forgot to clear it off the clipboard. Here’s the full graph of annual temperature averages 1977-2015:
Those graphs are what you would expect with Katabatic and Anabatic winds. Untill you add a wind direction graph to that set, they wont make much sence
Where I live, the terminator moves east in the morning because of the Alouette Mountains :
http://www.trailpeak.com/trail-Alouette-Mountain-Golden-Ears-Provincial-Park-near-Vancouver-BC-400
I thought the original Terminator movie was good, I guess they went downhill since then.
So, anybody got better stuff ??
I’ll bet you don’t.
Try
Ex-terminator – https://www.youtube.com/watch?v=SjcW7PAyObw
or
Ex-terminators – https://www.youtube.com/watch?v=gEj3nuBOxZg
Lol. Haven’t seen “The Exterminator (1980)”.
Your second link was to a collection of ways to exterminate Daleks of Dr. Who fame.
Were you intending on linking to:
ExTerminators – OFFICIAL TRAILER
?
I wont let the wife see that……..just in case.
Re: “In terms of the climate system, the poorly-named “greenhouse effect” works to increase the surface temperature”
The moon is the same distance from the sun as Earth. Moons day time temperatures are way hotter than earths (even in hot deserts in summer) and way colder at night (even than Antarctica in winter). So greenhouse gases warm the lows and cool the highs, so greatly moderating Earth’s temperatures and creating a Goldilocks temperature range for life as we know it.
Not sure how this affects your Murphy response to hottest part of day, probably not at all, but I suspect greenhouse gases are themselves a Murphy response?
Reply:
Yes, greenhouse gases do that but liquid water does it more because liquid water is a much better heat sink than land.
Indeed, the temperature smoothing effect of liquid water is why the Earth’s Northern Hemisphere (NH) has greater temperature variation than the Earth’s Southern Hemisphere(SH); more of the NH is covered by land than the SH. See here.
Richard
A daily air pressure cycle exists at sea level as noted on ships’ barographs. So probably not to do with wind variations. Regarding why peaks occur at 1100 and 2300, suggest this is due to Hawaii’s time zone being 15 degrees from its longitude zone. Peaks should be at 1200 and 2400, and they are due to solar gravity effects. Lunar effects can occur at any time of day so lunar tidal effects cancel out.
Yes – atmospheric tides.
Wikipedia has a good explanation https://en.wikipedia.org/wiki/Atmospheric_tide
“Atmospheric tides are primarily excited by the Sun’s heating of the atmosphere… This means that most atmospheric tides have periods of oscillation related to the 24-hour length of the solar day”
“At ground level, atmospheric tides can be detected as regular but small oscillations in surface pressure with periods of 24 and 12 hours.”
Cool!
Willis,
Some extra clues
http://journals.ametsoc.org/doi/pdf/10.1175/1520-0469%281968%29025%3C0470%3ATAECAM%3E2.0.CO%3B2
Cheers
very interesting paper louis . a very telling quote near the end regarding ohms law that could be applied to other areas of climate science practice. has this research been taken further to the suggestions in the paper ? i would think the possibility for at least one proxy relating to atmospheric heat content lies within the realms of that research .
congratulations on yet another fantastic set of observations converted to an enjoyable and informed post willis ,including the linked posts,as someone that spends way too much time in and around the sea (according to my wife) you are continually able to put a smile on my face. classy as ever.
Willis, your figure 1
As the sun begins to light up the sky before the sun comes up, the pressure begins to rise and peaks out around 10:30. During this period temperature increases at the highest rate for the day.
Your graphs seem to disagree with the theory of the earth heating before atmosphere.
LeeO – Concan, Texas
I suspect it pressure from the terminator winds, which would start early.
Another piece of the puzzle would be insolation data. And maybe irradiance data to see the brightness of the sky.
The problem with being on a mountain is that given those differences in swing vs. altitude, any long term trend in “average” temperature is likely from local variation in winds on the decadal scale.. So that article you linked to the other day that “confirms” global temperature changes from MLO is just coincidence.
Peter
Glad to see you digging into this.
Might I suggest two things, first, stop looking at calendar days, and look at the daily temperature cycle, day to day min temp (or clock time if that floats your boat), and also look at rel humidity, it shows why the absolute humidity changes, and highlights how the change in state of water vapor greatly impacts the limits of the daily thermal cycle.
The daiurnal variation of meteorological parameters depends upon several factors, such as:
inland area, island area, hill area, forest areas, water reservoirs areas, coastal areas, etc
winter, summer, rainy season, etc
Urban areas, rural areas, etc
If look at India — humidity shows high in the morning observations [0830 IST] and low in afternoon observations [1730 IST]; maximum temperature reaches around 3 pm and minimum around 6 am [just before sunrise]. The exact time shifts around these two timings with season, sun’s moment.
So, it is not a good idea to look at seasonal and diurnal variations of stations to infer something.
Hawii is an island, surrounded by water.
Dr. S. Jeevananda Reddy
” humidity shows high in the morning observations [0830 IST] and low in afternoon observations [1730 IST]; maximum temperature reaches around 3 pm and minimum around 6 am [just before sunrise”
This is about what you’d expect with the temperature dependence of rel humidity.
That’s true of relative humidity (rh%). But what Willis graphed was absolute humidity (g/m3).
Right, but the amount of absolute water vapor is limited by temp, at night as the temps fall, rel humidity get high and it has to condense water to cool, opposite during the day, takes a lot of energy to evaporate all that water. So this will show up as big changes in absolute humidity, because the air temp has changed. The graph show how night time cooling limits the maximum water vapor.
cont—
At Mauna Loa, the thermal heat maxima was pushed backwards [from around 1500 hr to around 1200 hr] with the thermal precipitation peak as well humidity and wind speed condition at around 1500 hr. This is the general character of the islands.
Dr. S. Jeevananda Reddy