Category Archives: Global Warming

Eight ways to not fix the tower of Pisa, and one that worked.

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You may know that engineers recently succeed in decreasing the tilt of the “leaning” tower of Pizza by about 1.5°, changing it from about 5.5° to about to precisely 3.98° today –high precision given that the angle varies with the season. But you may not know how that there were at least eight other engineering attempts, and most of these did nothing or made things worse. Neither is it 100% clear that current solution didn’t make things worse. What follows is my effort to learn from the failures and successes, and to speculate on the future. The original-tilted tower is something of an engineering marvel, a highly tilted, stone on stone building that has outlasted earthquakes and weathering that toppled many younger buildings that were built straight vertical, most recently the 1989 collapse of the tower of Pavia. Part of any analysis, must also speak to why this tower survived so long when others failed.

First some basics. The tower of Pisa is an 8 story bell tower for the cathedral next door. It was likely designed by engineer Bonanno Pisano who started construction in 1173. We think it’s Pisano, because he put his name on an inscription on the base, “I, who without doubt have erected this marvelous work that is above all others, am the citizen of Pisa by the name of Bonanno.” Not so humble then, more humble when the tower started to lean, I suspect. The outer diameter at the base is 15.5 m and the weight of the finished tower is 14.7 million kg, 144 million Nt. The pressure exerted on the soil is 0.76 MPa (110 psi). By basic civil engineering, it should stand straight like the walls of the cathedral.

Bonanno’s marvelous work started to sink into the soil of Pisa almost immediately, though. Then it began to tilt. The name Pisa, in Greek, means swamp, and construction, it seems, was not quite on soil, but mud. When construction began the base was likely some 2.5 m (8 feet) above sea level. While a foundation of clay, sand and sea-shells could likely have withstood the weight of the tower, the mud below could not. Pisano added length to the south columns to keep the floors somewhat level, but after three floors were complete, and the tilt continued, he stopped construction. What to do now? What would you do?

If it were me, I’d consider widening the base to distribute the force better, and perhaps add weight to the north side. Instead, Pisano gave up. He completed the third level and went to do other things. The tower stood this way for 99 years, a three-floor, non-functional stub. 

About 1272, another engineer, Giovanni di Simone, was charged with fixing the situation. His was the first fix, and it sort-of worked. He strengthened the stonework of the three original floors, widened the base so it wold distribute pressure better, and buried the base too. He then added three more floors. The tower still leaned, but not as fast. De Simone made the south-side columns slightly taller than the north to hide the tilt and allow the floors to be sort-of level. A final two stories were added about 1372, and then the first of the bells. The tower looked as it does today when Gallileo did his famous experiments, dropping balls of different size from the south of the 7th floor between 1589 and 1592.

Fortunately for the construction, the world was getting colder and the water table was dropping. While dry soil is stronger than wet, wet soil is more plastic. I suspect it was the wet soil that helped the tower survive earthquakes that toppled other, straight towers. It seems that the tilt not only slowed during this period but briefly reversed, perhaps because of the shift in center of mass, or because of changes in the sea level. Shown below is 1800 years of gauge-based sea-level measurements. Other measures give different sea-level histories, but it seems clear that man-made climate change is not the primary cause. Sea levels would continue to fall till about 1750. By 1820 the tilt had resumed and had reached 4.5°.

Sea level height history as measured by land gauges. Because of climate change (non man-made) the sea levels rise and fall. This seems to have affected the tilt of the tower. Other measures of water table height give slightly different histories, but still the sense that man change is not the main effect.

The 2nd attempt was begun in 1838. Architect, Alessandro Della Gherardesca got permission to dig around the base at the north to show off the carvings and help right the tower. Unfortunately, the tower base had sunk below the water table. Further, it seems the dirt at the base was helping keep the tower from falling. As Della Gherardesca‘s crew dug, water came spurting out of the ground and the tower tilted another few inches south. The dig was stopped and filled in, but he dig uncovered the Pisano inscription, mentioned above. What would you do now? I might go away, and that’s what was done.

The next attempt to fix the tower (fix 3) was by that self-proclaimed engineering genius, Benito Mussolini. In 1934. Mussolini had his engineers pump some 200 tons of concrete into the south of the tower base hoping to push the tower vertical and stabilize it. The result was that the tower lurched another few inches south. The project was stopped. An engineering lesson: liquids don’t make for good foundations, even when it’s liquid concrete. An unfortunate part of the lesson is that years later engineers would try to fix the tower by pumping water beneath the north end. But that’s getting ahead of myself. Perhaps Mussolini should have made tests on a model before working on the historic tower. Ditto for the more recent version.

On March 18, 1989 the Civic Tower of Pavia started shedding bricks for no obvious reason. This was a vertical tower of the same age and approximate height as the Pisa tower. It collapsed killing four people and injuring 15. No official cause has been reported. I’m going to speculate that the cause was mechanical fatigue and crumbling of the sort that I’ve noticed on the chimney of my own house. Small vibrations of the chimney cause bits of brick to be ejected. If I don’t fix it soon, my chimney will collapse. The wet soils of Pisa may have reduced the vibration damage, or perhaps the stones of Pisa were more elastic. I’ve noticed brick and stone flaking on many prominent buildings, particularly at joins in the chimney.

John Burland’s team cam up with many of the fixes here. They are all science-based, but most of the fixes made things worse.

In 1990, a committee of science and engineering experts was formed to decide upon a fix for the tower of Pisa. It was headed by Professor John Burland, CBE, DSc(Eng), FREng, FRS, NAE, FIC, FCGI. He was, at the time, chair of soil mechanics at the Imperial College, London, and had worked with Ove, Arup, and Partners. He had written many, well regarded articles, and had headed the geological aspects of the design of the Queen Elizabeth II conference center. He was, in a word, an expert, but this tower was different, in part because it was an, already standing, stone-on stone tower that the city wished should remain tilted. The tower was closed to visitors along with all businesses to the south. The bells were removed as well. This was a safety measure, and I don’t count it as a fix. It bought time to decide on a solution. This took two years of deliberation and meetings

In 1992, the committee agreed to fix no 4. The tower was braced with plastic-covered, steel cables that were attached around the second and third floors, with the cables running about 5° from the horizontal to anchor points several hundred meters to the north. The fix was horribly ugly, and messed with traffic. Perhaps the tilt was slowed, it was not stopped.

In 1993, fix number 5. This was the most exciting engineering solution to date: 600 tons of lead ingots were stacked around the base, and water was pumped beneath the north side. This was the reverse of the Mussolini’s failed solution, and the hope was that the tower would tilt north into the now-soggy soil. Unfortunately, the tower tilted further south. One of the columns cracked too, and this attempt was stopped. They were science experts, and it’s not clear why the solution didn’t work. My guess is that they pumped in the water too fast. This is likely the solution I would have proposed, though I hope I would have tested it with a scale model and would have pumped slower. Whatever. Another solution was proposed, this one even more exotic than the last.

For fix number 6, 1995, the team of experts, still overseen by Burland, decided to move the cables and add additional tension. The cables would run straight down from anchors in the base of the north side of the tower to ten underground steel anchors that were to be installed 40 meters below ground level. This would have been an invisible solution, but the anchor depth was well into the water table. So, to anchor the ground anchors, Burland’s team had liquid nitrogen injected into the ground beneath the tower, on the north side where the ground anchors were to go. What Burland did not seem to have realized is that water expands when it freezes, and if you freeze 40 meters of water the length change is significant. On the night of September 7, 1995, the tower lurched southwards by more than it had done in the entire previous year.  The team was summoned for an emergency meeting and the liquid nitrogen anchor plan was abandoned.

Tower with the two sets of lead ingots, 900 tons total, about the north side of the base. The weight of the tower is 14,700 tons.

Fix number 7: Another 300 tons of lead ingots were added to the north side as a temporary, simple fix. The fix seems to have worked stabilizing things while another approach was developed.

Fix number 8: In order to allow the removal of the ugly lead bricks another set of engineers were brought on, Roberto Cela and Michele Jamiolkowski. Using helical drills, they had holes drilled at an angle beneath the north side of the tower. Using hoses, they removed a gallon or two of dirt per day for eleven years. The effect of the lead and the dirt removal was to reduce the angle of the tower to 4.5°, the angle that had been measured in 1820. At this point the lead could be removed and tourists were allowed to re-enter. Even after the lead was removed, the angle continued to subside north. It’s now claimed to be 3.98°, and stable. This is remarkable precision for a curved tower whose tilt changes with the seasons. (An engineering joke: How may engineers does it take to change a lightbulb? 1.02).

The bells were replaced and all seemed good, but there was still the worry that the tower would start tilting again. Since water was clearly part of the problem, the British soils expert, Burland came up with fix number 9. He had a series of drainage tunnels built to keep the water from coming back. My worry is that this water removal will leave the tower vulnerable to earthquake and shedding damage, like with the Pavia tower and my chimney. We’ll have to wait for the next earthquake or windstorm to tell for sure. So far, this fix has done no harm.

Robert Buxbaum, October 9, 2020. It’s nice to learn from other folks mistakes, and embarrassments, as well as from their successes. It’s also nice to see how science really works, not with great experts providing the brilliant solution, but slowly, like stumbling in the dark. I see this with COVID-19.

Greenland is warm, and I’m not sure that’s bad

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I got the graph below from a global warming blog called “factcheck.” The blue line on the graph below shows Greenland temperatures, constructed by Vinther et al. (2009) using data from six ice cores smooth to 20 year steps. The black line at the right are observed temperatures from Berkeley Earth, with a 20-year smooth applied. To make the graph, the observed temperatures, and ice temperatures were aligned over the 1880-1960 period. According to many this shows a disaster that we caused, and that we must reverse by stopping US industry. I’m not so sure.

It is seen that theGreeland temperature has risen 1.5°C over the last century, or 4°C since 1710. The first issue is that the rise since 1710 to 1810 is rather substantial, about 1.3°C and the level of world industrialization was a lot less, but more importantly, when I look at this curve, the part that worries me is not the spike at the right, but the bit at the left. I’m far more comfortable with another degree or three of Greenland heating, than I am with an ice age and the 50°C drop that entails.

As for stopping US industry to cure the rise, that too seems like a bad idea since most of the carbon dioxide comes not from us, but from China, with quite a bit from India. If we stop our poroduction, we merely hurt ourselves while moving production, and CO2 to China. I suspect that those behind this are Chinaphiles — Sinophiles.

Robert Buxbaum July 28, 2020

Sweden v Michigan: different approaches, same outcome.

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Sweden has scientists; Michigan has scientists. Sweden’s scientists said to trust people to social distance and let the COVID-19 disease run its course. It was a highly controversial take, but Sweden didn’t close the schools, didn’t enforce masks, and let people social distance as they would. Michigan’s scientists said to wear masks and close everything, and the governor enforced just that. She closed the schools, the restaurants, the golf courses, and even the parks for a while. In Michigan you can not attend a baseball game, and you can be fined for not wearing a mask in public. The net result: Michigan and Sweden had almost the same death totals and rates, as the graphs below show. As of July 28, 2020: Sweden had 5,702 dead of COVID-19, Michigan had 6,402. That’s 13 more dead for a population that’s 20% smaller.

Sweden’s deaths pre day. There are 5,702 COVID dead since the start, out of a population of 10.63 million. There are 79,494 confirmed COVID cases, but likely a lot more infected.

Sweden and Michigan are equally industrial, with populations in a few dense cities and a rural back-country. Both banned large-scale use of hydroxy-chloroquine. Given the large difference in social distance laws, you’d expect a vastly different death rate, with Michigan’s, presumably lower, but there is hardly any difference at all, and it’s worthwhile to consider what we might learn from this.

Michigan’s deaths pre day. There are 6,426 COVID dead since the start, out of a population of 9.99 million. There are 88,025 confirmed COVID cases, but likely a lot more infected.

What I learn from this is not that social distance is unimportant, and not that hand washing and masks don’t work, but rather it seems to me that people are more likely to social distance if they themselves are in control of the rules. This is something I also notice comparing freezer economies to communist or controlled ones: people work harder when they have more of a say in what they do. Some call this self -exploitation, but it seems to be a universal lesson.

Both Sweden and the US began the epidemic with some moderate testing of a drug called hydroxychloroquine (HCQ)and both mostly stopped in April when the drug became a political football. President Trump recommended it based on studies in France and China, but the response was many publications showing the didn’t work and was even deadly. Virtually ever western country cut back use of the drug. Brazil’s scientists objected — see here where they claim that those studies were crooked. It seems that countries that continued to use the drug had fewer COVID deaths, see graph, but it’s hard to say. The Brazilians claim that the anti HCQ studies were politically motivated, but doctors in both Sweden and the US largely stopped prescribing the drug. This seems to have been a mistake.

US hospitals stopped using HCQ in early April almost as soon as Trump recommended it. Sweden did the same.

In July, Henry Ford hospitals published this large-scale study showing a strong benefit: for HCQ: out of 2,541 patients in six hospitals, the death rate for those treated with HCQ was 13%. For those not treated with HCQ, the death rate was more than double: 26.4%. It’s not clear that this is cause and effect. It’s suggestive, but there is room for unconscious bias in who got the drug. Similarly, last week, a Yale researcher this week used epidemiological evidence to say HCQ works. This might be proof, or not. Since epidemiology is not double-blind, there is more than common room for confounding variables. By and large the newspaper experts are unconvinced by epidemiology and say there is no real evidence of HCQ benefit. In Michigan and Sweden the politicians strongly recommend continuing their approaches, by and large avoiding HCQ. In Brazil, India and much of the mideast, HCQ is popular. The countries that use HCQ claim it works. The countries that don’t claim it does not. The countries with strict lock-down say that science shows this is what’s working. The countries without, claim they are right to go without. All claim SCIENCE to support their behaviors, and likely that’s faulty logic.

Hydroxychloroquine and COVID-19 fatality rates in different countries as of early June 2020. This isn’t enough to prove HCQ effectiveness, but it’s promising, and suggests that increased use is warranted, at least among those without heart problems.

Given my choice, I’d like to see more use of HCQ. I’m not sure it works, but I’m ,sure there’s enough evidence to put it into the top tier of testing. I’d also prefer the Sweden method, of nor enforced lockdown, or a very moderate lockdown, but I live I’m Michigan where the governor claims she knows science, and I’m willing to live within the governor’s lockdown.There is good, scientific evidence that, if you don’t you get fined or go to jail.

Robert Buxbaum, July 29, 2020. As I side issue, I think iodine hand wash is a good thing. I may be wrong, but here’s my case.

Why the earth is magnetic with the north pole heading south.

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The magnetic north pole, also known as true north, has begun moving south. It had been moving toward the north pole thought the last century. It moved out of Canadian waters about 15 years ago, heading toward Russia. This year it passed as close to the North pole as it is likely to, and begun heading south (Das Vedanga, old friend). So this might be a good time to ask “why is it moving?” or better yet, “Why does it exist at all?” Sorry to say the Wikipedia page is little help here; what little they say looks very wrong. So I thought I’d do my thing and write an essay.

The motion of the magnetic (true) north pole over the last century; it's nearly at the north pole.

Migration of the magnetic (true) north pole over the last century; it’s at 8°N and just passed the North Pole.

Your first assumption of the cause of the earth’s magnetic field would involve ferromagnetism: the earth’s core is largely iron and nickel, two metals that permanent magnets. Although the earth’s core is very hot, far above the “Curie Temperature” where permanent magnets form, you might imagine that some small degree of magnetizability remains. You’d be sort of right here and sort of wrong; to see why, lets take a diversion into the Curie Temperature (Pierre Curie in this case) before presenting a better explanation.

The reason there is no magnetism above the Curie temperature is similar to the reason that you can’t have a plague outbreak or an atom bomb if R-naught is less than one. Imagine a magnet inside a pot of iron. The surrounding iron will dissipate some of the field because magnets are dipoles and the iron occupies space. Fixed dipole effects dissipate with a distance relation of r-4; induced dipoles with a relation r-6. The iron surrounding the magnet will also be magnetized to an extent that augments the original, but the degree of magnetization decreases with temperature. Above some critical temperature, the surrounding dissipates more than it adds and the effect is that the original magnetic effect will die out if the original magnet is removed. It’s the same way that plagues die out if enough people are immunized, discussed earlier.

The earth rotates, and the earth's surface is negatively charged. There is thus some room for internal currents.

The earth rotates, and the earth’s surface is negatively charged. There is thus some room for internal currents.

It seems that the earth’s magnetic field is electromagnetic; that is, it’s caused by a current of some sort. According to Wikipedia, the magnetic field of the earth is caused by electric currents in the molten iron and nickel of the earth’s core. While there is a likely current within the core, I suspect that the effect is small. Wikipedia provides no mechanism for this current, but the obvious one is based on the negative charge of the earth’s surface. If the charge on the surface is non-uniform, It is possible that the outer part of the earth’s core could become positively charged rather the way a capacitor charges. You’d expect some internal circulation of the liquid the metal of the core, as shown above – it’s similar to the induced flow of tornadoes — and that flow could induce a magnetic field. But internal circulation of the metallic core does not seem to be a likely mechanism of the earth’s field. One problem: the magnitude of the field created this way would be smaller than the one caused by rotation of the negatively charged surface of the earth, and it would be in the opposite direction. Besides, it is not clear that the interior of the planet has any charge at all: The normal expectation is for charge to distribute fairly uniformly on a spherical surface.

The TV series, NOVA presents a yet more unlikely mechanism: That motion of the liquid metal interior against the magnetic field of the earth increases the magnetic field. The motion of a metal in a magnetic field does indeed produce a field, but sorry to say, it’s in the opposing direction, something that should be obvious from conservation of energy.

The true cause of the earth’s magnet field, in my opinion, is the negative charge of the earth and its rotation. There is a near-equal and opposite charge of the atmosphere, and its rotation should produce a near-opposite magnetic field, but there appears to be enough difference to provide for the field we see. The cause for the charge on the planet might be due to solar wind or the ionization of cosmic rays. And I notice that the average speed of parts of the atmosphere exceeds that of the surface —  the jet-stream, but it seems clear to me that the magnetic field is not due to rotation of the jet stream because, if that were the cause, magnetic north would be magnetic south. (When positive charges rotate from west to east, as in the jet stream, the magnetic field created in a North magnetic pole a the North pole. But in fact the North magnetic pole is the South pole of a magnet — that’s why the N-side of compasses are attracted to it, so … the cause must be negative charge rotation. Or so it seems to me.  Supporting this view, I note that the magnet pole sometimes flips, north for south, but this is only following a slow decline in magnetic strength, and it never points toward a spot on the equator. I’m going to speculate that the flip occurs when the net charge reverses, thought it could also come when the speed or charge of the jet stream picks up. I note that the magnetic field of the earth varies through the 24 hour day, below.

The earth's magnetic strength varies regularly through the day.

The earth’s magnetic strength varies regularly through the day.

Although magnetic north is now heading south, I don’t expect it to flip any time soon. The magnetic strength has been decreasing by about 6.3% per century. If it continues at that rate (unlikely) it will be some 1600 years to the flip, and I expect that the decrease will probably slow. It would probably take a massive change in climate to change the charge or speed of the jet stream enough to reverse the magnetic poles. Interestingly though, the frequency of magnetic strength variation is 41,000 years, the same frequency as the changes in the planet’s tilt. And the 41,000 year cycle of changes in the planet’s tilt, as I’ve described, is related to ice ages.

Now for a little math. Assume there are 1 mol of excess electrons on a large sphere of the earth. That’s 96500 Coulombs of electrons, and the effective current caused by the earth’s rotation equals 96500/(24 x3600) = 1.1 Amp = i. The magnetic field strength, H =  i N µ/L where H is magnetizability field in oersteds, N is the number of turns, in this case 1, µ is the magnetizability. The magnetizability of air is 0.0125 meter-oersteds/ per ampere-turn, and that of a system with an iron core is about 200 times more, 2.5 meter-tesla/ampere-turn. L is a characteristic length of the electromagnet, and I’ll say that’s 10,000 km or 107 meters. As a net result, I calculate a magnetic strength of 2.75×10-7 Tesla, or .00275 Gauss. The magnet field of the earth is about 0.3 gauss, suggesting that about 100 mols of excess charge are involved in the earth’s field, assuming that my explanation and my math are correct.

At this point, I should mention that Venus has about 1/100 the magnetic field of the earth despite having a molten metallic core like the earth. It’s rotation time is 243 days. Jupiter, Saturn and Uranus have greater magnetic fields despite having no metallic cores — certainly no molten metallic cores (some theorize a core of solid, metallic hydrogen). The rotation time of all of these is faster than the earth’s.

Robert E. Buxbaum, February 3, 2019. I have two pet peeves here. One is that none of the popular science articles on the earth’s magnetic field bother to show math to back their claims. This is a growing problem in the literature; it robs science of science, and makes it into a political-correctness exercise where you are made to appreciate the political fashion of the writer. The other peeve, related to the above concerns the game it’s thoroughly confusing, and politically ego-driven. The gauss is the cgs unit of magnetic flux density, this unit is called G in Europe but B in the US or England. In the US we like to use the tesla T as an SI – mks units. One tesla equals 104 gauss. The oersted, H is the unit of magnetizing field. The unit is H and not O because the English call this unit the henry because Henry did important work in magnetism.  One ampere-turn per meter is equal to 4π x 10−3 oersted, a number I approximated to 0.125 above. But the above only refers to flux density; what about flux itself? The unit for magnetic flux is the weber, Wb in SI, or the maxwell, Mx in cgs. Of course, magnetic flux is nothing more than the integral of flux density over an area, so why not describe flux in ampere-meters or gauss-acres? It’s because Ampere was French and Gauss was German, I think.

James Croll, janitor scientist; man didn’t cause warming or ice age

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When politicians say that 98% of published scientists agree that man is the cause of global warming you may wonder who the other scientists are. It’s been known at least since the mid 1800s that the world was getting warmer; that came up talking about the president’s “Resolute” desk, and the assumption was that the cause was coal. The first scientist to present an alternate theory was James Croll, a scientist who learned algebra only at 22, and got to mix with high-level scientists as the janitor at the Anderson College in Glasgow. I think he is probably right, though he got some details wrong, in my opinion.

James Croll was born in 1821 to a poor farming family in Scotland. He had an intense interest in science, but no opportunity for higher schooling. Instead he worked on the farm and at various jobs that allowed him to read, but he lacked a mathematics background and had no one to discuss science with. To learn formal algebra, he sat in the back of a class of younger students. Things would have pretty well ended there but he got a job as janitor for the Anderson College (Scotland), and had access to the library. As janitor, he could read journals, he could talk to scientists, and he came up with a theory of climate change that got a lot of novel things right. His idea was that there were  regular ice ages and warming periods that would follow in cycles. In his view these were a product of the precession of the equinox and the fact that the earth’s orbit was not round, but elliptical, with an eccentricity of 1.7%. We are 3.4% closer to the sun on January 3 than we are on July 4, but the precise dates changes slowly because of precession of the earth’s axis, otherwise known as precession of the equinox.

Currently, at the spring equinox, the sun is in “the house of Pisces“. This is to say, that a person who looks at the stars all the night of the spring equinox will be able to see all of the constellations of the zodiac except for the stars that represent Pisces (two fish). But the earth’s axes turns slowly, about 1 days worth of turn every 70 years, one rotation every 25,770 years. Some 1800 years ago, the sun would have been in the house of Ares, and 300 years from now, we will be “in the age of Aquarius.” In case you wondered what the song, “age of Aquarius” was about, it’s about the precession of the equinox.

Our current spot in the precession, according to Croll is favorable to warmth. Because we are close to the sun on January 3, our northern summers are less-warm than they would be otherwise, but longer; in the southern hemisphere summers are warmer but shorter (southern winters are short because of conservation of angular momentum). The net result, according to Croll should be a loss of ice at both poles, and slow warming of the earth. Cooling occurs, according to Croll, when the earth’s axis tilt is 90° off the major axis of the orbit ellipse, 6300 years before or after today. Similar to this, a decrease in the tilt of the earth would cause an ice age (see here for why). Earth tilt varies over a 42,000 year cycle, and it is now in the middle of a decrease. Croll’s argument is that it takes a real summer to melt the ice at the poles; if you don’t have much of a tilt, or if the tilt is at the wrong time, ice builds making the earth more reflective, and thus a little colder and iceier each year; ice extends south of Paris and Boston. Eventually precession and tilt reverses the cooling, producing alternating warm periods and ice ages. We are currently in a warm period.

Global temperatures measured from the antarctic ice showing stable, cyclic chaos and self-similarity.

Global temperatures measured from the antarctic ice showing stable, cyclic chaos and self-similarity.

At the time Croll was coming up with this, it looked like numerology. Besides, most scientists doubted that ice ages happened in any regular pattern. We now know that ice ages do happen periodically and think that Croll must have been on to something. See figure; the earth’s temperature shows both a 42,000 year cycle and a 23,000 year cycle with ice ages coming every 100,000 years.

In the 1920s a Serbian Mathematician, geologist, astronomer, Milutin Milanković   proposed a new version of Croll’s theory that justified longer space between ice ages based on the beat frequency between a 23,000 year time for axis precession, and the 42,000 year time for axis tilt variation. Milanković used this revised precession time because the ellipse precesses, and thus the weather-related precession of the axis is 23,000 years instead of 25,770 years. The beat frequency is found as follows:

51,000 = 23,000 x 42,000 / (42000-23000).

As it happens neither Croll’s nor Milanković’s was accepted in their own lifetimes. Despite mounting evidence that there were regular ice ages, it was hard to believe that these small causes could produce such large effects. Then, in a 1976 study (Hayes, Imbrie, and Shackleton) demonstrated clear climate variations based on the mud composition from New York and Arizona. The variations followed all four of the Milankocitch cycles.

Southern hemisphere ice is growing, something that confounds CO2-centric experts

Southern hemisphere ice is growing, something that confounds CO2-centric experts

Further confirmation came from studying the antarctic ice, above. You can clearly see the 23,000 year cycle of precession, the 41,000 year cycle of tilt, the 51,000 year beat cycle, and also a 100,000 year cycle that appears to correspond to 100,000 year changes in the degree of elliptic-ness of the orbit. Our orbit goes from near circular to quite elliptic (6.8%) with a cycle time effectively of 100,000 years. It is currently 1.7% elliptic and decreasing fast. This, along with the decrease in earth tilt suggests that we are soon heading to an ice age. According to Croll, a highly eccentric orbit leads to warming because the minor access of the ellipse is reduced when the orbit is lengthened. We are now heading to a less-eccentric orbit; for more details go here; also for why the orbit changes and why there is precession.

We are currently near the end of a 7,000 year warm period. The one major thing that keeps maintaining this period seems to be that our precession is such that we are closest to the sun at nearly the winter solstice. In a few thousand years all the factors should point towards global cooling, and we should begin to see the glaciers advance. Already the antarctic ice is advancing year after year. We may come to appreciate the CO2 produced by cows and Chinese coal-burning as these may be all that hold off the coming ice age.

Robert Buxbaum, November 16, 2018.

Global warming’s 19 year pause

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Global temperatures measured from the antarctic ice showing stable, cyclic chaos and self-similarity.

Global temperatures measured from the antarctic ice shows stable chaos and self-similarity.

The global climate is, as best I can tell, chaotic with 100,000 year ice-age cycles punctuated by smaller cycles of 1000 years, 100 years, etc. On the ice-age time scale shown at left, the temperature rise of the last century looks insignificant and very welcome; warm seems better than cold in my eyes. But the press and academic community has focused on the evils of warmth — global warming. They point out that temperatures have risen 1 1/2 °C since the little ice age of the early 1600s, and that 1/2 °C of this has occurred since 1900. Al Gore won a Nobel prize for his assertion that the rate of rise had accelerated to 4°C per century — a “hockey-stick change” caused by industrial CO2. This change was expected to bring disaster by 2015: The arctic was supposed to be ice-free, and Manhattan was expected to sink. I’ve posted a “Good Morning America” clip from 2008 highlighting this “inconvenient truth”.

Our 19 1/2 year global warming pause; plot from Andrew Watts with Al Gore's prediction shown in red. During the time shown, the atmospheric CO2 content has gone up by about 25%, but the prediction has not come to pass.

Our 19 1/2 year global warming pause; plot from Andrew Watts with Al Gore’s prediction shown in red. So far, the prediction has not come to pass.

As it happens, not only hasn’t global warming accelerated, it seems to have paused. There have been no significant temperature changes since late 1997, as shown.  The main explanations are clouds and solar variation: variations that the Obama administration claims will end any day now. The problem, as I see it, is that climate is fundamentally chaotic, and thus unpredictable except on the very long, ice-age, timescale. It will thus always make fools of those who predict.

This is not to say that pollution is good, or that CO2 is, but it suggests our models and remedies are flawed. The CO2 content of the air has increased 25% over the past 19 years. It now mostly comes from China and India, countries that enthusiastically endorse having us reduce our output. My thinking is that lowering US production will, in no way, protect us from the dire predictions below.

Despite pressure from China and India, the US pulled out of the Paris climate accord last month. It now seems several other countries will pull out as well.

Robert Buxbaum, July 27, 2017. I’ve also written about how the global warming of the mid 1800s lead us to have the president’s Resolute desk.

Global warming and the president’s Resolute desk

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In the summer of 2016, the Crystal Serenity, a cruse ship passed through the Northwest passage, going from the Pacific to the Atlantic above the Canadian arctic circle. It was a first for a cruise ship, but the first time any modern ship made the passage, it was 162 years ago, and the ship was wooden and unmanned. It was the British Resolute; wood from that ship was used to make the President’s main desk — one used by the last four presidents. And thereby hangs a tale of good global warming, IMHO.

President Trump meets with college presidents at the Resolute desk. Originally the front had portraits of Queen Victoria and President Hayes. Those are gone; the eagle on the front is an addition, as is the bottom stand.

President Trump meets with college presidents at the Resolute desk. Originally the front had portraits of Queen Victoria and President Hayes. Those are gone; the eagle on the front is an addition, as is the bottom stand. The desk is now 2″ taller than originally. 

The world today is warmer than it was in 1900. But, what is not generally appreciated is that, in 1900 the world was warmer than In 1800; that in 1800 it was warmer than in 1700; and that, in 1640, it was so cold there were regular fairs on the frozen river Themes. By the 1840s there were enough reports of global warming that folks in England thought the northwest passage might have opened at last. In 1845 the British sent two ships, the Erebus and the Terror into the Canadian Arctic looking for the passage. They didn’t make it. They and their crews were lost and not seen again until 2014. In hopes of finding them though, the US and Britain sent other ships, including the Resolute under the command of captain Edward Belcher.

The Resolute was specially made to withstand the pressure of ice. Like the previous ships, and the modern cruise ship, it entered the passage from the Pacific during the peak summer thaw. Like the ships before, the Resolute and a partner ship got stuck in the ice — ice that was not quite stationary, but nearly so, The ships continued to move with the ice, but at an unbearably slow pace. After a year and a half captain Belcher had moved a few hundred miles, but had had enough. He abandoned his ships and walked out of Canada to face courts martial in England (English captains were supposed to “go down with the ship”). Belcher was acquitted; the ice continued to move, and the ships moved with it. One ship sank, but the Resolute, apparently unscathed, passed through to the Atlantic. Without captain or crew, she was the first ship in recorded history to make the passage, something that would not happen again till the Nautilus nuclear submarine did it under the ice, 100 years later.

 

The ghost ship Resolute was found in September 1855, five years after she set sail, by captain Buddington of the American whaler, George Henry. She was floating, unmanned, 1200 miles from where captain Belcher had left her. And according to the law of the sea, she belonged to Buddington and his crew to use as they saw fit. But the US was inching to war with Britain, an outgrowth of the Crimean war and seized Russo-American property. Franklin Pierce thought it would help to return the ship as a sign of friendship — to break the ice, as it were. A proposal for funds was presented to congress and passed; the ship was bought, towed to the Brooklyn Navy yard for refitting, and returned to Britain as a gift. The gift may have worked: war with Britain was averted, and the seized property was returned. Then again, Britain went on to supply the confederacy early in the Civil War. None-the-less, it was a notable ship, and a notable gift, and when it was broken up, Parliament decided to have two “friendship desks” made of its timbers. One desk was presented to President Hayes, the other to Queen Victoria. One of these desks sits the British Naval museum at Portsmouth; its American cousin serves Donald Trump in the Oval office as it has served many president before him. It has been used by Coolidge, Kennedy, Carter, Reagan, Clinton, Bush II, and Obama before him — a reminder that global warming can be good, in both senses. If you are interested in the other presidents’ desks, I wrote a review of them here.

As for the reason for the global warming of the mid 1800s, It seems that climate is chaotic. ON a related note, I have proposed that we make a more-permanent northwest passage by cutting thorough one of the islands in northern Canada. If you want to travel the Northwest passage in 2017, there is another cruise scheduled, but passage is sold out.

Robert Buxbaum, March 16, 2017.

18 year pause in global warming

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Here is an updated version of the climate change graph. It’s now 18+ years, and as was true with last year’s version, 17+ years of no climate change, I see no significant climate change. Similar to this: Global Warming takes a 15 year rest.

18 years of Global Temperature anomaly to July 2015

18+ years of Global Temperature anomaly to July 2015. The climate seems to have stopped changing.

Though the average planetary temperature has remained constant, there is local variation. It’s been warm in California for the past 2+ years, but cold in Michigan. Before that, it was warm in Michigan and California was cold. The Antarctic ice is at record high levels while the arctic ice has shrunk enough that we should make a Northwest passage.

Climate vs weather from the blog of Steven Goddard

Climate vs weather, from the blog of Steven Goddard. It’s funny because…

Theory suggests we should see global warming because of increased CO2 trapping of atmospheric heat 2 miles up or so. The problem with the theory is that it doesn’t include clouds. A few extra clouds, e.g. from Chinese industry, could have more cooling power than a lot of CO2 has heating power. It seems that the effects cancel, and temperature 2-3 miles up is about what you’d expect from entropy.

My biggest climate fear, BTW, is global cooling: a new ice age. They come every 110,000 years or so and we seem overdue.

Global temperatures measured from the antarctic ice showing stable, cyclic chaos and self-similarity.

Global temperatures from the antarctic ice show ice ages every 110,000 years. cyclic chaos and self-similarity.

Robert Buxbaum, July 22, 2015. You may not have noticed, but there have been relatively few hurricanes — something that could change at any minute. Here’s a link to 1/2 hour lecture by a Nobel physicist, Ivar Giaever on the subject. Like me, he notices no change, and thinks warmer is better.

Can you spot the man-made climate change?

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As best I can tell, the only constant in climate is change, As an example, the record of northern temperatures for the last 10,000 years, below, shows nothing but major ups and downs following the end of the last ice age 9500 years ago. The only pattern, if you call it a pattern, is fractal chaos. Anti-change politicos like to concentrate on the near-recent 110 years from 1890 to 2000. This is the small up line at the right, but they ignore the previous 10000 or more, ignore the fact that the last 17 years show no change, and ignore the variation within the 100 years (they call it weather). I find I can not spot the part of the change that’s man-made.

10,000 years of climate change based on greenland ice cores. Ole Humlum – Professor, University of Oslo Department of Geosciences.

10,000 years of northern climate temperatures based on Greenland ice cores. Dr. Ole Humlum, Dept. of Geosciences, University of Oslo. Can you spot the part of the climate change that’s man-made?

Jon Stewart makes the case for man-made climate change.

Steven Colbert makes his case for belief: If you don’t believe it you’re stupid.

Steven Colbert makes the claim that man-made climate change is so absolutely apparent that all the experts agree, and that anyone who doubts is crazy, stupid, or politically motivated (he, of course is not). Freeman Dyson, one of the doubters, is normally not considered crazy or stupid. The approach reminds me of “the emperor’s new clothes.” Only the good, smart people see it. The same people used to call it “Global Warming” based on a model prediction of man-made warming. The name was changed to “climate change” since the planet isn’t warming. The model predicted strong warming in the upper atmosphere, but that isn’t happening either; ski areas are about as cold as ever (we’ve got good data from ski areas).

I note that the climate on Jupiter has changed too in the last 100 years. A visible sign of this is that the great red spot has nearly disappeared. But it’s hard to claim that’s man-made. There’s a joke here, somewhere.

Jupiter's red spot has shrunk significantly. Here it is now. NASA

Jupiter’s red spot has shrunk significantly. Here it is now. NASA

As a side issue, it seems to me that some global warming could be a good thing. The periods that were warm had peace and relative plenty, while periods of cold, like the little ice age, 500 years ago were times of mass starvation and plague. Similarly, things were a lot better during the medieval warm period (1000 AD) than during the dark ages 500-900 AD. The Roman warm period (100 BC-50 AD) was again warm and (relatively) civilized. Perhaps we owe some of the good food production of today to the warming shown on the chart above. Civilization is good. Robert E. Buxbaum January 14, 2015. (Corrected January 19; I’d originally labeled Steven Colbert as Jon Stewart)

 

17+ years of no climate change

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Much of the data underlying climate change is bad, as best I can tell, and quite a lot of the animosity surrounding climate legislation comes from the failure to acknowledge this. Our (US) government likes to show the climate increasing at 4-6°C/century, or .05°C/year, but this is based on bad data of average global temperatures, truncated conveniently to 1880, and the incorrect assumption that trends always continue — a bad idea for stock investing too. We really don’t have any good world-wide temperature going back any further the 1990s, something the Canadian ice service acknowledges (see chart below) but we do not. Worse yet, we adjust our data to correct for supposed errors.

Theory vs experiment in climate change data

Theory vs experiment in climate change data; 17 years with no change.

High quality observations begin only about 10 years ago, and since then we have seen 17+ years of no significant climate change, not the .05°C per year predicted. Our models predicted an ice-free Arctic by 2013, but we had one of the coldest winters of the century. Clearly the models are wrong. Heat can’t hide, and in particular it can’t hide in the upper atmosphere where the heat is supposed to be congregating. The predictive models were not chaotic, and weather is, but instead show regular, slow temperature rises based on predictions of past experimental data.

In Canada and Australia, the climate experts are nice enough to put confidence bars on the extrapolated data before publishing it. Some researchers are also nice enough to provide data going back further, to late Roman times when the weather was really warm, or 20,000 years ago, when we had an ice age (it’s unlikely that the ice age ended because of automobile traffic).

Canada's version of Ice coverage data. The grey part is the error bar. Canada is nice enough to admit they know relatively little of what the climate was like in the 70s and 80s. We do not.

Canada’s version of Ice coverage data. The grey part is the error bar. Canada is nice enough to admit they don’t know what it was like in the 70s and 80s. We do not.

So what’s so wrong about stopping US coal use, even if it does not cause global warming. For one, it’s bad diplomatically — it weakens us and strengthens countries that hate us (like Iran), and countries like China that burn lots of coal and really pollute the air. It also diverts the US from real air pollution and land use discussions. If you want less air pollution, perhaps nuclear is the way to go. Finally, there you have to ask, even if we could adjust the earth’s temperature at will, who would get control of the thermostat? Who would decide if this summer should be warm or cold, or who should get rains, or sun. With great power comes great headaches.

Robert Buxbaum, June 21, 2014