Guest Post by Willis Eschenbach
I got to thinking about snow the other day. It was occasioned by my look at the correlation (both positive and negative) of temperature and albedo. Albedo is a measure of how much sunlight is reflected from the clouds and the surface. The greater the albedo, the more sunlight is reflected. Here’s the graph that set me pondering:
Figure 1. Correlation between surface temperature and albedo. Negative correlation (blue and green) means the albedo goes down (less reflected sunlight) as the surface warms. Positive correlation (red and orange) means the albedo goes up (more reflection) as the surface warms. Gray line shows zero value.
In the red and orange areas, which are mainly in the tropics, the albedo goes up as temperatures rise. This is generally because clouds form as temperatures rise, reflecting more sunlight and cooling the earth. In the blue and green areas, on the other hand, the albedo goes down as temperatures rise. Over the extratropical land, much of this change is from snow and ice. As the land warms, snow melts and the albedo goes down. And as the land cools, snow falls and the albedo goes up. This is a positive feedback, with warming leading to increased solar energy, and cooling leading to less solar energy.
One thing that is highlighted by this map is that the positive feedback from the changes in sea ice are much smaller than the feedback from the changes in snow and ice on land, for several reasons.
The first one is the small area of the sea ice variations. Note that the feedback is only in the areas that are seasonally uncovered and covered by sea ice—permanently ice-covered areas don’t have much albedo change. Net annual variation in Arctic sea ice is about ± 5 million square kilometres. This is only about 1% of the area of the globe.
Another reason the changes on land are larger is that when snow melts, it exposes soil and plants, both of which have low albedos. But when sea ice melts, it reveals ocean … and the albedo of the ocean at low sun angles is already pretty high. As a result, the melting of the ice doesn’t change the albedo as much as the melting of the snow.
Another reason the land varies more is that snow extends much closer to the equator than sea ice. As a result, the sun rises much higher over snow than sea ice, and thus the snow intercepts more sunlight than the same area of ice up near the poles.
Another reason is that as you can see from Figure 1, the negative correlation of the albedo and temperature is greater over northern lands than northern oceans.
All of this has made the snow-covered areas of the northern hemisphere the main suspects in the onset of the ice ages. The generally accepted theory is that the so-called “Milankovitch” variations in the earth’s orbit change the amount of sunshine hitting the northern hemisphere. When the northern hemisphere summer sunshine gets weak enough, the snow on the northern land doesn’t melt back as far. This residual snow reflects more sunlight, which leads to cooler temperatures, which leads to more snow, which leads to more reflected energy … I’m sure you can see the end of this story, glaciers a mile thick covering Chicago.
Now, people seem to have a strange need to believe in some kind of existential threat hanging over our heads. There appears to be a desire to worry about something, as long as it is dire and a couple of decades away. In the past we’ve filled this need by worrying about the “population bomb”, or the “ecological footprint”, or the dreaded arrival of “peak oil”. Nowadays, it seems like “global warming” is taking over the role of the scourge du jour.
Me, I prefer to only concern myself with real possibilities of real harm. We’ve seen a couple of degrees warming since the Little Ice Age, and overall the effects have been beneficial to humans, plants and animals. I have no concern about the fabled Thermageddon of a couple degrees more warming—the effects are not grave, will likely be beneficial, and I have strong doubts that it will happen this century.
Another ice age, on the other hand, seems to be both inevitable and very destructive. And to raise the stakes, near as scientists can tell the next ice age either due or overdue … this is already the longest of the “interglacials”, the historical periods in between the ice ages.
So I would suggest that we keep a fairly close watch on the snow cover of the northern hemisphere. Because when the apparently inevitable ice age comes ’round again, it seems to me that the first sign will be an increase in the snow cover in North America and Eurasia.
Fortunately, the good folks at Rutgers University have a dataset showing the weekly area of the extent of the snow in the northern hemisphere that goes back forty years or so. Here’s that data:
Figure 2. Rutgers University snow extent data. Note the missing data prior to 1972. Data Source: Rutgers Snow Extent Data
So … how is the extent of the snow trending over time? Well, if we look at the complete data, which extends from 1972 to present, here’s how that breaks down:
Figure 3. Decomposition of Rutgers snow extent data. Top row is observations. Second row shows the trend in the 52-week mean. Third row is the regular seasonal variations. Bottom row is the residual variation once the seasonal and overall trends are removed. Note the different scales on all four rows.
The second row in Figure 3, entitled “trend”, shows the changes in the mean value over time. The snow area generally dropped during the first half of the record. Subsequently, it first rose and then remained level in the second half. So the good news is that we don’t appear to be started into an ice age. The other good news is that we also don’t seem to be headed for a time when our children won’t recognize snow … overall, like most climate records, not a whole lot going on. However, that is unlikely to last forever.
Finally, some speculation. I have long held that the main two ways that we affect local climate are through land use, and also via airborne soot (or “black carbon”) and “brown carbon”. Brown carbon is the airborne carbon from inefficient combustion of wood, coal and other fuels. In addition to coming from forest fires, brown carbon mainly comes from billions of cheap stoves and open cooking and heating fires in the developing world. Because of the prevailing winds, a goodly amount of the soot and brown carbon produced in the northern hemisphere falls on the northern snow and ice. And because the carbon compounds are dark in color, they are warmed by the sun. This leads to a more rapid melting of the snow. It has been suggested that this is the reason for the retreat of the European glaciers since the 1800s.
Now, humans have been dumping large quantities of soot into the atmosphere for quite some time now, ever since we managed to tame fire. And presumably, for all that time that soot has helped to melt the northern hemisphere snows and glaciers, so they didn’t start lingering further and further into summer. So … would it not be truly ironic if pollution, in the form of soot and brown carbon, were all that has been holding off another ice age? And wouldn’t it be a cosmic joke if our efforts to clean up soot and brown carbon pollution were the straw that broke the back of the Holocene, and ushered in the new ice age?
Do I think that’s the case, that soot is all that is keeping the next ice age at bay? Y’know … I truly don’t have a clue whether that’s true or not. That’s one beauty of climate science, that there are so many mysteries.
I’m just saying, I’m keeping an eye on the snow extent …
w.
DATA AND CODE:
I’ve posted up a .csv file containing the Rutgers data here, and the R code to read it is here.
Discover more from Watts Up With That?
Subscribe to get the latest posts sent to your email.

David L. Hagen says: October 18, 2013 at 4:48 pm
With current oil depletion rates and low economic growth, the cost of developing replacement fuels over the next 40 years at current prices will be about $100 trillion dollars. $100,000,000,000,000! No small change. Climate change pales by comparison.
Nuclear.
By then we will all think it is a great idea.
John A said in part (Oct 18 at 12:52 PM):
“If there were any positive feedbacks in the climate system we would all be dead.”
This is wrong. Positive feedbacks between 0 and 1 are just amplifications.
Willis at 3:53 PM gave the right answer. As he says, if the feedback factor is g, the amplitude response of the system is 1/(1-g). That is, the output is multiplied by g and added to the input, and this changes the input to output gain as 1/(1-g). Thus:
if g<0 (negative feedback) the result is an attenuation (damping)
if g=0 (no feedback), there is no change
if 0<g1 (positive feedback exceeding unity) then you have a run-away.
So, as an example, for g=2/3 (a positive feedback) the amplification is 3. The alarmist claim an amplification of 3 for the climate sensitivity. This is very unlikely to be the case, but it is not a run-away.
Sorry – the inequality sign apparently messed up my posting at 8:18 PM. Here it is in English!
********************************************
John A said in part (Oct 18 at 12:52):
“If there were any positive feedbacks in the climate system we would all be dead.”
This is wrong. Positive feedbacks between 0 and 1 are just amplifications.
Willis at 3:53 gave the right answer. As he says, if the feedback factor is g, the amplitude response of the system is 1/(1-g). Thus:
if g less than 0 (negative feedback) the result is an attenuation
if g=0 (no feedback), there is no change
if g greater than 0 and less than 1 (positive feedback less than 1), there is a gain (an amplification) but no blow-up.
if g=1 (positive feedback of 1), we have a linear ramp (an accumulator)
if g greater than 1 (positive feedback exceeding unity) then you have a run-away.
So, as an example, for g=2/3 (a positive feedback) the amplification is 3. The alarmist claim an amplification of 3 for the climate sensitivity. This is very unlikely to be the case, but it is not a run-away.
Lynn Clark said @ur momisugly October 18, 2013 at 7:04 pm
You are correct; “ice age” use in this piece is a colloquialism for “glacial period”.
Willis,
As always interesting and informative discussion follows your posts.
Glaciation mitigation, anyone?
Elaborating on my comment of Oct. 18, 8:30 PM: This is probably not the place to review feedback theory completely, but the two cases of my five where g reaches or exceeds 0 do not give an asymptotic steady state (viewed as a discrete time sequence), as the cases where g is strictly less than 1 do. The result 1/(1-g) does NOT apply.
Having g equal to or greater than 1 is “unphysical”. It would call for infinite energy. In a so-called run-away greenhouse, positive feedback greater than 1 may well exist for a period of time, but soon enough something else will limit the output (perhaps a “governor”, as some suggest, if you like).
For example, I design circuits with positive feedback gains much much greater than 1 all the time (e.g., a Schmitt trigger, a comparator with hysteresis) which very quickly asks for infinite voltage, but has to settle for the maximum the power supply will give (called saturation). Likewise the planet Venus is supposedly in a positive feedback CO2 run-away. Isn’t it just quite hot, but stable? [Perhaps Venus like AL Gore’s deep earth is millions and millions of degrees at this point!]
So perhaps g=1 rather than g=0 is the better point to keep in mind. Thus it may be that John A was using a wrong (or at least different) definition of positive feedback. Also, it may be that John A’s saying “surfaces do not continue to become infinitely black” may be precisely what I am talking about as saturation in an electronic circuit. Thus he likely has that good point.
Thus a true positive feedback mechanism that in addition actually has g greater than 1 may be driven to saturation and thereafter fail to run away (it becomes governed), and NOT kill us all. But it’s still positive feedback that got us there. But going from g=-0.01 to g=0 and then to g=+0.01 is smooth. Going from g=0.99 to g=1.00 to g=1.01 is where the “surprise” is.
The alarmists’ g=2/3 with an amplification of 3 (very unlikely) might a disaster, as would most certainly g=0.99 with its amplification of 100. We need to recognize that some manner of saturation likely cuts in, even for g between 0 and 1. Or even more likely, the NET feedback is g less than 0 (negative), as many here believe.
I agree with Bernie; the system is surely non linear; in that case, under certain conditions, a bigger than one “positive” feed back could create an oscillator (climate larsen?). And precisely we have oscillations…(60 years periodic)…
Bernie Hutchins: “… but has to settle for the maximum the power supply will give (called saturation).”
Sure, and in climate our power supply is insolation. On a climate scale it’s also the signal for the ‘amp.’ But when you have a fancy feed back device that is constant current and constrant signal you call it? A wire.
If you ignore this and start talking about CO2 and IR photons. Which does return a fraction of the IR reradiated from the surface, to the surface. But if more current in (photons of all frequency) to the surface guarantees more IR out the surface? Then tf the ppm of CO2 is enough to have any effect at all, then the effect is a Schmitt trigger in every case. That’s a full on Venus in Jersey, during winter.
Go from there and remember by loose analogy that temp = volts. Such that climate feedbacks are postulating gain from a short circuit current input (photons don’t have a temperature) to a voltage output.
Ice/Albedo is a positive feedback forcing in the earth’s climate leading to considerable glaciation of the NH.
If the earth’s atmosphere also contains a positive feedback due to water vapour, would this not cause the earth to completely freeze over during an Ice Age.
In reality is the fact that a snowball earth does not occur prove that the water vapour feedback is in fact negative?
Frequently we read that the global temperature has been warming, sometimes we read that this is a “recovery from the Little Ice Age”.
What part of the Earth was cold in the Little Ice Age, that is warming up now?
That is, where was that “cold” stored?
Alternatively, if that concept is wrong, and if we assume solar input to be constant at TOA, is the warming since the LIA a consequence of fast events such as more frequent initiation of a daily thermostat mechanism?
There are so many options in this climate business that sometimes it is hard to even separate postulated effects that are more static or long-term, from those that are dynamic, varying up and down in the short term, sometimes to give an aggregation.
Then there is the contentious concept of whether earth systems respond in directions to balance an equilibrium, when we don’t now where equilibrium should sit, or why, or if there is one.
Think of all that past research spending. We don’t seem to know answers to simple questions like these.
The main confusion seems to arise from too much emphasis on GHG.
Let’s have more on thermostats, please.
It seems to me that some “feed-backs” are authors of their own demise. For example, the curve of a meandering river gets larger and larger until the river abruptly cuts a straight route, leaving an oxbow lake behind.
In the arctic having ice on the sea allows mild currents to come north under the ice, melting the underside of the ice to a more northerly extent, and allowing swifter break up in the spring. Thus ice is author of an ice-free situation.
Conversely, having an ice-free situation allows water to cool more deeply before it freezes, (right down to the pycnocline according to some,) thus creating 400-foot-deep barrier to warm currents coming north, and increasing the refreeze and retention of ice. Thus lack of ice is author of an ice-cap.
In the end you have a cycle. I have enough trouble with basic math and shudder at the thought of attempting to take on oscillations. My sense is that a certain amount of chaos is involved: A 60-year-cycle may screw up your forecasts by being 58 or 62 years. Therefore I will do what a smart quarterback does when he sees four burly linebackers charging towards him.
I’ll hand the ball off to Willis and let him run with it.
By the way, Willis, thanks for another excellent article.
On Milankovitch & climate variations, Roger Pielke Jr. highlighted the “New Paper “Climatic Variability Over Time Scales Spanning Nine Orders of Magnitude: Connecting Milankovitch Cycles With Hurst–Kolmogorov Dynamics” By Markonis And Koutsoyiannis” , Surveys in Geophysics, 34 (2), 181–207, 2013. i.e., addressing climate persistence statistics and showing climate variations are not “random”. Preprint pdf
Evidence they show from the Taylor Dome suggests that climate has been cooling slowly since the Holocene Optimum about 10,000 years ago.
In “Determining the natural length of the current interglacial”, P. C. Tzedakis et al. Nature Geoscience Letters 8 JANUARY 2012 | DOI: 10.1038/NGEO1358
What a remarkable degree of precision in that prediction!
However, Roy Spencer shows 96% (87 of 90) current CPIM5 model projections from 1979 are hotter than subsequent temperatures (>95% failure).
Consequently, I’ll take Tzedakis et al. with a grain of salt.
Prudent precautions would indicate that we should invest in long underwear companies!
***
Willis Eschenbach says:
October 18, 2013 at 12:38 pm
***
I say Yikes! too when I look at what the climate is like most of the time. Very variable and much colder than present.
At least glacial periods seem to have significant “moderate” periods when glaciation is not at its greatest extent.
***
JimS says:
October 18, 2013 at 1:23 pm
Unfortunately, given the past record for the last million years, there have been 10 major glaciation periods lasting from 80-95,000 years, and each one occurred when earth’s eccentricity was low. The only Melankovitch cycle that is keeping away the glaciation now is the obliquity, for precession and eccentricity are favouring glaciation.
***
Not sure low eccentricity favors glaciation in general — last minimum eccentricity was during the long MIS 11 interglacial.
Thank you Willis for covering this subject in such a thought-provoking way and to the rest of you for some very interesting comments. If I may, I’d like to make a contribution too.
Regarding Milankovitch’s theory that orbital changes have been responsible for the switching between glacial and interglacial periods over the past million years or so, the spacing in time between successive interglacials is of the right order of length and is periodic enough for the temperature variation to be attributable to orbital forcing. But working out exactly how the orbital variation could give rise to this pattern is far from easy.
The changing rate of insolation at 65 deg. north is usually presented as the measure of the degree of orbital forcing, but this isn’t a magic number that can explain everything. Insolation at all latitudes changes over time and the actual degree of forcing would be the result of the cumulative changes in isolation at different latitudes. Insolation at 65 deg. north is used as a proxy because the figures for a single latitude are fairly easy and straightforward to calculate. But it is far from being the whole story and we shouldn’t expect a precise match between the 65-deg. insolation curve and the temperature graph calculated from ice core or other data.
Interestingly, the northern hemisphere undergoes a greater range of warming and cooling throughout the year than the southern hemisphere does. Also, the Earth is at its warmest during the northern hemisphere summer (in July), even though it is at its closest to the Sun during the northern hemisphere winter (in January) at its present stage in the approx. 23,000-year precessional cycle. So the Earth at present warms while it is moving away from the Sun and receiving relatively less insolation, and it cools while moving towards the Sun and receiving relatively more insolation. This is because there is twice as much land in the northern hemisphere than the southern hemisphere, and land warms more in summer and cools more in winter than ocean does. I suppose the overall effect of land works to keep the planet warmer or cooler than the ocean does, but I am not certain this is the case so perhaps somebody could enlighten me on that. Would an Earth with no ocean be warmer or cooler than an Earth covered 100% by ocean?
If the overall effect of having a greater ocean area is more warming, then we may have identified another modest positive feedback mechanism for driving the planet into and out of glaciations, because as the world cools and the ice sheets spread, sea level drops and more continental shelf is exposed leading to a decrease in the surface area of the ocean. Much of this “new” land becomes covered by ice sheets in Europe and North America, but there is also a considerable area in the tropics, particularly in and around Indonesia.
When considering whether the earth is going to warm or cool, we should bear in mind that in order to warm, the earth needs to absorb more energy than it emits. The planet is absorbing and emitting energy constantly, and if we knew how much was emitted and how much absorbed on any given day, month or year, then in principle we would be able to work out how much the planet had warmed or cooled over the said period. In practice, this may be easier said than done, even in the satellite era, but it’s something we should be aware of. In addition, the warmer the earth is, the higher its rate of energy emission will be and so the more incoming energy it needs in order to maintain its temperature. All other things being equal, to remain at the same temperature, hot Earth requires more insolation than a cold Earth.
But all other things are not equal. The main variable appears to be the Earth’s albedo, or reflection coefficient. (As Stephen WIlde points out, the mass of the atmosphere also helps determine the surface temperature, but I haven’t heard anyone suggesting that this has varied very much over the past million years.) So in short, the amount of sunlight reaching the top of the atmosphere and the albedo determine our planet’s surface temperature. I had always assumed GHG’s raised the temperature by about 33 degrees C, because that’s what I’ve always been told. But after reading several of Stephen’s articles I’ve started to question that assumption.
Whoops!
I suppose the overall effect of land works to keep the planet warmer or cooler than the ocean does
=>
I suppose the overall effect of land works to keep the planet warmer than the ocean does
Here are the last 5 interglacials in the SH.
The phase of obliquity and eccentricity were similar 420kyrs ago, similar interglacial as well though longer than present.
http://s852.photobucket.com/user/etregembo/media/GW_08202007_9174_image001-1.gif.html?sort=3&o=18
***
Bill Illis says:
October 18, 2013 at 7:36 pm
The initiator of the next ice age is when the snow does not melt in the summer on Ellesmere Island and the sea ice does not melt out at 75N.
The projections are this will continue for as much as 125,000 years (not 50,000 but 125,000 years).
That still leaves 57 days of no snow or nearly 2 months in a relatively cold year. Much cooling is required to drop that to Zero days and kick off the next ice age. Get used to the interglacial because it will be the longest one in the last 2.7 million years.
***
Interesting comments as usual. Be nice to think the glaciation cycle could be broken for some time.
Of course, it’s possible arctic snowfall could become heavier & persist from increased depth & not temperature per say.
ed says:
October 19, 2013 at 8:59 am
Some students of the subject think that MIS 11 is the best fit for the current interglacial. If so, it’s liable to be a long one. But not long enough for the Greenland Ice Sheet to melt.
Tzedakis thinks that MIS 19 is a better analogue for the Holocene:
http://www.clim-past.net/6/131/2010/cp-6-131-2010.html
If so, then we’re headed for another Big Ice Age sooner rather than later.
Ulric Lyons says:
October 18, 2013 at 6:22 pm
Yes, and the albedo also goes up as temperatures fall … it’s negative correlation either way.
w.
Geoff Sherrington says:
October 19, 2013 at 3:56 am
CACA advocates still try to persuade themselves & mislead the public that the Medieval Warm Period & Little Ice Age were North Atlantic regional phenomena. But both were in fact global. The LIA affected the whole planet, as evidence from all around the world shows.
Lynn Clark says:
October 18, 2013 at 7:04 pm
The present longer glacial, shorter interglacial cycle has been going on for about 2.6 million years, not just hundreds of thousands. The periodicity appears to have switched about a million years ago, however.
http://en.wikipedia.org/wiki/100,000-year_problem
The term “Ice Age” is a problem, since it can refer to glacial episodes in general, to the whole of the Pleistocene glaciation specifically or to the glacial phase of one cycle within it or an earlier icy world. Its meaning in each case can be derived from context, if not clearly stated.
milodonharlani says:
October 19, 2013 at 9:18 am
Raymo & Mitrovica conclude that the Greenland Ice Sheet did collapse during MIS 11, but then it was probably warmer as well as longer than the Holocene to date:
http://www.nature.com/nature/journal/v483/n7390/abs/nature10891.html
“Contentious observations of Pleistocene shoreline features on the tectonically stable islands of Bermuda and the Bahamas have suggested that sea level about 400,000 years ago was more than 20 metres higher than it is today1, 2, 3, 4. Geochronologic and geomorphic evidence indicates that these features formed during interglacial marine isotope stage (MIS) 11, an unusually long interval of warmth during the ice age1, 2, 3, 4. Previous work has advanced two divergent hypotheses for these shoreline features: first, significant melting of the East Antarctic Ice Sheet, in addition to the collapse of the West Antarctic Ice Sheet and the Greenland Ice Sheet1, 2, 3; or second, emplacement by a mega-tsunami during MIS 11 (ref. 4, 5). Here we show that the elevations of these features are corrected downwards by ~10 metres when we account for post-glacial crustal subsidence of these sites over the course of the anomalously long interglacial. On the basis of this correction, we estimate that eustatic sea level rose to ~6–13 m above the present-day value in the second half of MIS 11. This suggests that both the Greenland Ice Sheet and the West Antarctic Ice Sheet collapsed during the protracted warm period while changes in the volume of the East Antarctic Ice Sheet were relatively minor, thereby resolving the long-standing controversy over the stability of the East Antarctic Ice Sheet during MIS 11.”
The oldest Greenland Ice Sheet core found dates to ~150 Ka, during the glaciation preceding the Eemian interglacial:
http://blogs.agu.org/wildwildscience/2010/07/31/oldest-greenland-ice-core-recovered/
Very interesting comment regarding man-made emissions countering natural cooling. There is no doubt that environmental regulations have drastically reduced particulate and SO2 emissions from power plants. Both of these constituents in the atmosphere have a cooling affect. So a logical follow on to the post would be that the very regulations that clean our the air could be contributing to future cooling. Perhaps our policy makers should also focus on reducing atmospheric CO2 levels to help speed our way to the next ice age. May God help Canada and the rest of the Northern Hemisphere.