Eccentricity, Obliquity, Precession, and Glaciation

The glacial cycles of the last few million years were highly determined by earth's orbital mechanics.

Naturalism as a philosophy came into its own when Newton explained the heavens as a machine, not a pantheon. It was stunning to realize that age-old mysteries were thoroughly explicable and that, if we kept at it with a bit of diligence and intellectual openness, we could attain ever-widening vistas of understanding, which now reach to the farthest reaches of the universe. 

In our current day, the mechanics of Earth's climate have become another example of this expansion of understanding, and, sadly, another example of resistance to naturalism, to scientific understanding, and ultimately to the stewardship of our environment. It has dawned on the scientific community (and anyone else willing to look) over the last few decades that our industrial production of CO2 is heating the climate, and that it needs to stop if the biosphere is to be saved from an ever-more degrading crisis. But countervailing excuses and interests abound, and we are now ruled by an adminstration in the US whose values run toward lies and greed, and which naturally can not abide moral responsibility.

The Cenozoic, our present age after the demise of the dinosaurs, has been characterized by falling levels of CO2 in the atmosphere. This has led to a progression from very warm climates 50 mya (million years ago) to ice ages beginning roughly 3 mya. The reasons for this are not completely clear. There has been a marked lack of vocanism, which is one of main ways CO2 gets back into the atmosphere. This contrasts strongly with ages of extreme volcanism like the Permian-Triassic boundary and extinction events, about 250 mya. It makes one think that the earth may be storing up a mega-volcanic event for the future. Yeet plate tectonics has kept plugging along, and has sent continents to the poles, where they previously hung out in more equatorial locations. That makes ice ages possible, giving glaciers something to glaciate, rather than letting ocean circulation keep the poles temperate. Additionally, the uplift of the Himalayas has dramatically increased rock exposure and weathering, which is the main driver of CO2 burial, by carbonate formation. And on top of all that has been the continued evolution of plant life, particularly the grasses, which have extra mechanisms to extract CO2 out of the atmosphere.

CO2 in the atmosphere has been falling through most of the Cenozoic.

All this has led to the very low levels of CO2 in the atmosphere, which have been stable at about 300 ppm over the last million years, very gradually declining prior to that time. Now we are pushing 420 ppm and beyond, which the biosphere has not seen for ten million years or more, and doing so at speeds that no amount of evolution can accommodate. The problem is clear enough, once the facts are laid out.

But what about those glaciations, which have been such a dramatic and influential feature of Earth's climate over the last few million years? They have followed a curious periodicity, advancing and retreating repeatedly over this time. Does that have anything to do with CO2? It turns out that it does not, and we have to turn our eyes to the heavens again for an explanation. It was Milankovitch, a century ago, who first solidified the theory that the changing orbital parameters of Earth, and particularly the intensity of the sun in the Northern hemisphere, where most of the land surface of Earth lies, that causes this repetitive climatic behavior.  

Cycles of orbital parameters and glaciation, over a million years.

It was in 1976 that a more refined analysis put a mathematical model and better data behind the Milankovitch cycles, showing that one major element of our orbit around the sun- the variation of eccentricity- had the greatest overall effect on the 100,000 year periodicity of recent glacial cycles. Eccentricity is how skewed our orbit is from round-ness, which varies slightly over time, due to interactions with other planets. Secondly, the position of the Earth's tilt at various points of this eliptical orbit, whether closer to the sun in northern summer, or father away, has critical effects on net solar input and on glaciation. The combined measure is called the precessional index, expressing the earth-sun distance in June. The eccentricity itself has a period of about 93,000 years, and the precessional index has a periodicity of 21,000 years. As glacial cycles over the last 800,000 years have had a strong 100,000 year periodicity, it is clearly the eccentricity alone that has the strongest single effect.

Lastly, there is also the tilt of the Earth, called obliquity, which varies slightly with a 40,000 year cycle. A recent paper made a major claim that they had finally solved the whole glaciation cycle in more detail than previously, by integrating all these cycles into a master algorithm for when glaciations start/end. They were curious about exactly what drives the deglaciation phase, within the large eccentricity-driven energetic cycle. The rule they came up with, again using better data and more complicated algorithms, is that it reaches its maximum rate when, after a minimum of eccentricity, the precession parameter (the purple line, below) has reached a peak, and the obliquity parameter (the green line, below) is rising. That is, when the Earth's degree of tilt and closeness to the sun in Norther summer are mutually reinforcing. There are also lags built into this, since it takes one or two thousand years for these orbital effects to build heat up in the climate system, a bit like spring happening annually well after the equinox.

"We find that the set of precession peaks (minima) responsible for terminations since 0.9 million years ago is a subset of those peaks that begin (i.e., the precession parameter starts decreasing) while obliquity is increasing. Specifically, termination occurs with the first of these candidate peaks to occur after each eccentricity minimum."

 

 

Summary diagram from Barker, et al. At the very top is a synopsis of the orbital variables. At bottom are the glacial cycles, marked with yellow dots (maximum slope of deglaciation), red dots (maximum extent of deglaciation) and blue dots (maximum slope of reglaciation, also called inception). Above this graph is an analysis of the time spans between the yellow and red dots, showing the strength of each deglaciation (gray double arrows). They claim that this strength is proportion to an orbita parameter illustrated above with the T-designation of each glacial cycle. This parameter is precession lagged by obliquity. Finally in the upper graph, the orbital cycles are shown directly, especially including eccentricity in gray, and the time points of the yellow nodes are matched here with purple nodes, lagged with the preceeding (by ~2,000 years) rising obliquity as an orange node. The green verticle bars were applied by me to ease the clear correlation of eccentricity maxima vs deglaciation maxima.

I have to say that the communication of this paper is not crystal clear, and the data a bit iffy. The T5 deglaciation, for instance, which is relatively huge, comes after a tiny minimum of eccentricity and at a tiny peak of precession, making the scale of the effect hard to understand from the scale of the inputs. T3 shows the opposite, with large inputs yielding a modest, if extended, deglacial cycle. And the obliquity values that are supposed to drive the deglaciation events are quite scattered over their respective cycle. But I take their point that ultimately, it is slight variations in the solar inputs that drive these cycles, and we just need to tease out / model the details to figure out how it works.

There is another question in the field, which is that, prior to 800,000 years ago, glacial cycles were much less dramatic, and had a faster cadence of about 40,000 years. This is clearly more lined up with the obliquity parameter as a driver. So while obliquity is part of the equation in the recent period, involved in triggering deglaciation, it was the primary driver a million years ago, when CO2 levels were perhaps slightly higher and the system didn't need the extra push from eccentricity to cycle milder glaciations. Lastly, why are the recent glacial cycles so pronounced, when the orbital forcing effects are so small and take thousands of years to build up? Glaciation is self-reinforcing, in that higher reflectivity from snow / ice drives down warming. Conversely, retreat of glaciers can release large amounts of built-up methane and other forms of carbon from permafrost, continental shelves, the deep ocean, etc. So there may be some additional cycle, such as a smaller CO2 or methane cycle, that halts glaciation at its farthest extent- that aspect remains a bit unclear.

Overall, the earlier paper of Hays et al. found that summer insolation varies by at most 10% over Earth's various orbital cycles. That is not much, yet it drives glaciation of ice sheets thousands of feet thick, and reversals back to deglaciation that uncovers bare rock all over the far north. It shows that Earth's climate is extremely sensitive to small effects. The last time CO2 was as high as it is now, (~16 mya), Greenland was free of ice. We are heading in that direction very rapidly now, in geological terms. Earth has experienced plenty of catastrophes in the past, even some caused biologically, such as the oxygenation of the atmosphere. But this, what we are doing to the biosphere now, is something quite new.

• That new world order we were working on...
• Degradation and corruption at FAA.. what could go wrong?
• Better air.
• Congress has the power, should it choose to use it.
• Ongoing destruction, degradation.
• Oh, Canada!