Modeling sea level rise is an 'uneven' proposition

From the British Antarctic Survey

New projections of ‘uneven’ global sea-level rise

Reporting in the journal Geophysical Research Letters researchers have looked ahead to the year 2100 to show how ice loss will continue to add to rising sea levels

Sophisticated computer modelling has shown how sea-level rise over the coming century could affect some regions far more than others. The model shows that parts of the Pacific will see the highest rates of rise while some polar regions will actually experience falls in relative sea levels due to the ways sea, land and ice interact globally.

Reporting in the journal Geophysical Research Letters researchers have looked ahead to the year 2100 to show how ice loss will continue to add to rising sea levels. Scientists have known for some time that sea level rise around the globe will not be uniform, but in this study the team of ice2sea researchers show in great detail the global pattern of sea-level rise that would result from two scenarios of ice-loss from glaciers and ice sheets.

The team, from Italy’s University of Urbino and the UK’s University of Bristol, found that ice melt from glaciers, and the Greenland and Antarctic ice sheets, is likely to be of critical importance to regional sea-level change in the Equatorial Pacific Ocean where the sea level rise would be greater than the average increase across the globe. This will affect in particular, Western Australia, Oceania and the small atolls and islands in this region, including Hawaii.

The study focussed on three effects that lead to global mean sea-level rise being unequally distributed around the world. Firstly, land is subsiding and emerging due to a massive loss of ice at the end of the last ice age 10,000 years ago when billions of tons of ice covering parts of North America and Europe melted. This caused a major redistribution of mass on the Earth, but the crust responds to such changes so slowly that it is still deforming. Secondly, the warming of the oceans leads to a change in the distribution of water across the globe. Thirdly the sheer mass of water held in ice at the frozen continents like Antarctica and Greenland exerts a gravitational pull on the surrounding liquid water, pulling in enormous amounts of water and raising the sea-level close to those continents. As the ice melts its pull decreases and the water previously attracted rushes away to be redistributed around the globe.

Co-author Professor Giorgio Spada says, “In the paper we are successful in defining the patterns, known as sea level fingerprints, which affect sea levels.

“This is paramount for assessing the risk due to inundation in low-lying, densely populated areas. The most vulnerable areas are those where the effects combine to give the sea-level rise that is significantly higher than the global average.”

He added that in Europe the sea level would rise but it would be slightly lower than the global average.

“We believe this is due to the effects of the melting polar ice relatively close to Europe – particularly Greenland’s ice. This will tend to slow sea-level rise in Europe a little, but at the expense of higher sea-level rise elsewhere.”

The team considered two scenarios in its modelling. One was the “most likely” or “mid-range” and the other closer to the upper limit of what could happen.

Professor Spada said, “The total rise in some areas of the equatorial oceans worst affected by the terrestrial ice melting could be 60cm if a mid-range sea-level rise is projected, and the warming of the oceans is also taken into account.” David Vaughan, ice2sea programme coordinator, says, “In the last couple of years programmes like ice2sea have made great strides in predicting global average sea-level rise. The urgent job now is to understand how global the sea-level rise will be shared out around the world’s coastlines. Only by doing this can we really help people understand the risks and prepare for the future.”

Co-author Jonathan Bamber, of Bristol University, says, “This is the first study to examine the regional pattern of sea level changes using sophisticated model predictions of the wastage of glaciers and ice sheets over the next century.”

###

 

GEOPHYSICAL RESEARCH LETTERS, doi:10.1029/2012GL053000

The gravitationally consistent sealevel fingerprint of future terrestrial ice loss

Key Points

  • Sea-level fingerprints of future terrestrial ice melt are studied
  • SLR in Arctic ocean mainly due to ocean response with small ice melt impact
  • SLR due to ice melt critical to Equatorial Pacific Ocean and Oceania

Authors:

Giorgio Spada, Jonathan L. Bamber, Ruud Theodorus Wilhelmus Leonardus Hurkmans

Abstract

We solve the sea-level equation to investigate the pattern of the gravitationally self-consistent sea-level variations (fingerprints) corresponding to modeled scenarios of future terrestrial ice melt. These were obtained from separate ice dynamics and surface mass balance models for the Greenland and Antarctic ice sheets and by a regionalized mass balance model for glaciers and ice caps. For our mid-range scenario, the ice melt component of total sea-level change attains its largest amplitude in the equatorial oceans, where we predict a cumulative sea-level rise of ~25 cm and rates of change close to 3 mm/yr from ice melt alone by 2100. According to our modeling, in low-elevation densely populated coastal zones, the gravitationally consistent sea-level variations due to continental ice loss will range between 50 and 150% of the global mean. This includes the effects of glacial-isostatic adjustment, which mostly contributes across the lateral forebulge regions in North America. While the mid range ocean-averaged elastic-gravitational sea-level variations compare with those associated with thermal expansion and ocean circulation, their combination shows a complex regional pattern, where the former component dominates in the Equatorial Pacific Ocean and the latter in the Arctic Ocean.

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Rockhound
February 21, 2013 5:36 am

I recently visited Hawaii. The Hawaiian Islands have numerous “fossil” shorelines indicating rapid changes in sea level in the recent geological past. I visited a couple.
From “The Roadside Geology of Hawaii” page 235
“North of the old sugar mill at Kahuku, southeast of milepost 14, look for a hardened bed of pale boulders and patches of ancient reef rock seaward the highway. The is an old shoreline 25 feet above sea level. An old reef on the brushy slopes inland is about 100 feet above sea level. They apparently formed when sea level stood high between the ice ages.”
A hundred feet! It kinda puts a potential 60 cm rise into perspective.

February 21, 2013 5:41 am

As one who is following our sun’s rapid decline of activity; I would ask what the models show for ice growth with a drop of world temps into the next minimum? Mankind has much more to fear from the next “Little Ice Age”, massive death tolls from crop failures of the Irish and Scots come to mind. Let’s hope the Bond cycle doesn’t sync with this current pattern or a major volcanic event occurs.

Ian W
February 21, 2013 5:43 am

Scute says:
February 21, 2013 at 3:47 am

You should add to just that fertile crescent aquifer water being extracted worldwide. Google “Cubic Kilometers” “Fossil Water” – you will find that at least 3 times as much ground water is being extracted elsewhere and returned to the water cycle increasing sea level. Libya, Saudi Arabia and even Texas.
If the paper is available outside a paywall it would be interesting to compare the actual amounts of liquid water in cubic kilometers from ice melt in comparison to deep aquifer releases.

Jimbo
February 21, 2013 5:48 am

Nigel Harris says:
February 21, 2013 at 4:10 am
Gosh I really wish I was as bright as some of the other commenters here. Able, without even reading the paper, to dismiss this work as rubbish because of their superior intelligence and knowledge. Able, in a few seconds of thought, to cut through to the heart of the matter, spotting glaring errors that teams of so-called scientists, who have no doubt spent entire careers studying the subject-matter, have stupidly missed.
How such intellects are wasted carping on about AGW! Anthony, you need to organize some sort of program to harness these wonderful minds that you have gathered around you, and set them to work on some of the world’s real problems. We’d have fusion power cracked in a few weeks, I’m sure. Mars terraformed and colonized by 2015.

How is the IPCC’s temperature projections turning out? They spent their careers making their projections and they were WRONG.
Perhaps you can:

“organize some sort of program to harness these wonderful minds that you have gathered around you, and set them to work on some of the world’s real problems..”

like fuel poverty, homelessness, hunger, over-fishing, malaria, pollution, maternal health………………………. instead of focusing on gas phantoms of your own making.

garymount
February 21, 2013 5:59 am

Lubos Motl has an article written a couple of years ago relating ice loss and sea level decrease near Greenland.
http://motls.blogspot.com/2010/06/if-greenland-melted-sea-level-in.html

Don K
February 21, 2013 6:06 am

Rockhound says:
February 21, 2013 at 5:36 am
I recently visited Hawaii. The Hawaiian Islands have numerous “fossil” shorelines indicating rapid changes in sea level in the recent geological past. I visited a couple.
==================================
Fair enough. However keep in mind that the Hawaiian Islands aren’t the most tectonically stable place on the planet. While the more Northwesterly Islands are certainly sinking (IIRC, the most northwesterly volcanic outcrop still above sea level is about 1000 km NW of Oahu), that doesn’t preclude areas closer to the hot spot rising or falling due to activities in the crust/mantle below them.
On my list of things to look into is why there are not all that many wave benches and elevated coral reefs in areas thought to be tectonically stable. If you pick some coral islands at random and can find their maximum elevation it’s most often only a few meters. Seems like if ancient sea levels were higher, there should be elevated reefs everywhere coral islands exist.
Erosion, maybe.? It’s a puzzlement.
BTW, I think some Pleistocene deposits in the islands have been reinterpreted as tsunami debris, but that doesn’t sound likely for the one you visited.

Don K
February 21, 2013 6:27 am

Stephen Skinner says:
February 21, 2013 at 5:09 am
“Thirdly the sheer mass of water held in ice at the frozen continents like Antarctica and Greenland exerts a gravitational pull on the surrounding liquid water, pulling in enormous amounts of water and raising the sea-level close to those continents.”
?? – Ice has less mass than water so it should be the other way round? Anyway plate boundaries that are coastal and have been crumpled such as the West coast of the US have considerably more gravitational mass than the Greenland Ice sheet as is evident by the lack of buoyancy of rocks. Therefore any coastal region that has above average mass for a plate should be pulling in more ocean. However, I would have thought the twice daily tides caused by the moon and the winds that circulate the Earth would get in the way of what would be a slow redistribution?
======================
Mostly, I think you’re right, however their point seems to be that the Antarctic and Greenland icecaps are piled on top of (largely) land surface and add to its gravitational attraction on the surrounding ocean. If the icecaps (partially) melt you get additional water in the oceans, plus isostatic rebound, plus a change in the gravitational attraction. I have trouble believing the latter is significant, but I don’t have numbers to back up my gut on that.
You are aware that the sea isn’t really level? The deviations are small. but measurable and are, I’m assured, used in roughly mapping sea floor geography. Presumably, they have been confirmed by sonar. I read recently that seamounts only a km or so high can be identified and mapped using sea level variations. Static Variations in sea level due to sea bottom topography, wind patterns , rotation are NOT the same thing as sea level changes due to ice melt, runoff, glacial isostacy, tectonics. Sometimes folks have trouble keeping that straight.

Ed Moran.
February 21, 2013 6:27 am

A competition!
Opening sentences that make you stop reading.
“Sophisticated computer modelling…” is my early favourite.

Rockhound
February 21, 2013 6:27 am

Don Kay says:
BTW, I think some Pleistocene deposits in the islands have been reinterpreted as tsunami debris, but that doesn’t sound likely for the one you visited.
=================================================================
Yes several of the islands have coral debris from tsunami events high up on their shores. The book differentiates between the two.
I didn’t visit Lana’i , but “Roadside Geology of Hawaii” has this to day about fossil beaches at Shipwreck Beach and Reef:
“Fossil burrows are abundant in the layers of coarse calcareous beach rock that must have accumulated when sea level was higher than it is today. The layers slope gently seaward as they do in modern beaches”
“The exposed beach rock indicates that the sea level must have been higher in the recent geologic past, possibly 150,000 years ago. If Lana’i is sinking, why is the beach rock exposed? Sudden changes in global climate force rapid waxing and waning of polar ice caps and consequently, of sea level. In comparison, the rate of isostatic sinking is very slow. Lana’i is [not] sinking fast enough to drown the beach rock yet”.

Rockhound
February 21, 2013 6:31 am

That last line should read:
“Lana’i isn’t sinking fast enough to drown the beach rock yet”.

Amos McLean
February 21, 2013 6:38 am

A couple of years ago I was at a lecture where the speaker (who has since become a “celebrity TV Scientist” favoured by the BBC) claimed that due to the developed countries of the Northern hemisphere building so many reservoirs the impounded water had caused a ‘bulge’ and affected the Earth’s spin and gravity . . . and hence the climate!
I wonder if that was factored into the models?
More to the point is such a claim feasible?

HelmutU
February 21, 2013 6:54 am

I like these scientist who use modells. Theiy always get the answers they want.

February 21, 2013 6:56 am

I find the entire premise of the paper dubious to the extreme, unless the “differences” they are talking about in SLR around the globe are on the scale of mm, a cm at most. The ocean is in a state of isostatic balance. Granted that there are inhomogeneities in the Earth’s mass distribution and that the surface is actively but slowly deforming, the planet is still a set of nested equipotential surfaces, and, allowing for the fact that the Earth is a rotating frame and the ocean is in a state of constrained dynamic flow, the surface closely oscillates around a single equipotential equilibrium because to the extent that it does not creates a fast store of energy driving it back towards equilibrium.
The idea of “uneven” SLR is something of a myth. There can be uneven subsidence of the ground, uneven uplift of the ground. There could in principle be alteration of the oceanic conveyor belt, real changes in ocean currents that affect how water piles up a bit here or there as its temperature and salinity change, although only the gods know how or if that sort of thing will happen in a circulation that we cannot really fully explain or predict anyway with chaotic and strongly coupled nonlinear aspects anyway. There could even be (as the article somewhat absurdly asserts) changes in local gravitation, again more or less impossible to predict because they have to be predicated on dubious predictions or understanding of how those changes will occur. All put together, we’re talking deltas of millimeters, not tens of centimeters, because the ocean is powerfully isostatic.
I could be mistaken about this — to be certain I’d have to look at the numbers and assumptions — but it does sound a bit doubtful that this is something to actually worry about. It is safest to say that when this year’s SLR of 3 whole millimeters occurs, it will occur pretty much uniformly all over the world’s oceans, within noise and some equilibrium decay times, and that if one smooths (coarse grain averages) SLR over a decadal time scale, it is uniformly distributed all over the planet within around 0.1%, or a millimeter per meter of rise.
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Alan the Brit
February 21, 2013 7:18 am

Co-author Jonathan Bamber, of Bristol University, says, “This is the first study to examine the regional pattern of sea level changes using sophisticated model predictions of the wastage of glaciers and ice sheets over the next century.”
Gotcha!!! Pocket OED, 1925: Sophisticated, to spoil the simplicity or purity or naturalness of, corrupt or adulterate or tamper with.
Seems familiar, when will they ever learn? 😉

Steve Keohane
February 21, 2013 7:38 am

A few years ago took the UN’s numbers for groundwater irrigation and applied that amount of water to the oceans. Of course it won’t all end up there, but as a matter of perspective towards the 3mm SLR we see annually, the amount of water used for irrigation each year is the equivalent of 2.2mm SLR.

RACookPE1978
Editor
February 21, 2013 8:12 am

Odd conclusions.
See, the ever-larger “ice masses” in central Greenland and interior Antarctica are laying on top of two very different geologic structures.
In Greenland, the interior of the island (the bedrock) has been forced DOWN by the weight of the ice about it. So, from west to east, looking at a cross-section of the island, you see:
a very short very steeply-rising coastal mountain range with typical Alpiine glacier. Very short, very narrow, very steep glacier-cut valleys. The glaciers are < 40-60 km long (sea edge to tp of mountain), perhaps 50 meters thick (if that much where they hit the ocean's water)), and very narrow (1 km to 2 km wide) at the mouth. Remove Greenland's ice, and you'll see Norway's fjord's and valleys. But bedrock (the mountain tops) is visible on these mountains. The ice doesn't "cover" the tops of the coastal ranges, and the interior ice mass doesn't "flow" over the coastal ranges "into the sea." Rather, the coastal glaciers -like mountain glaciers anywhere, gradually gets less and less thick until, at the top of any typical Alpine glacier, the ice vanishes and the bare rock appears. New snow and ice falls, it presses down on the relatively steep slopes of the upper glacier, and pushes the accumulating masses DOWN towards the interior or DOWN towards the sea. Glacier ice thickness increases as the glacier length increases (always pushing down towards the sea) until there is a more-or-less balance between the resistance of the rock below the glacier, the mass of ice below the specific point pushing back uphill, and the weight of ice above pushing down.
At the interior of the Greenland island, the accumulating ice is higher than the exterior mountain ranges (3000+ meters) – BUT the interior bedrock is LOWER than sea level. The interior ice has pushed down the sea floor rock AND the continental crust BELOW sea level. If all of the interior to melt – before the sea floor rock and crust rebounds – you'd see a very narrow "belt" of coastal mountain ranges around an interior sea about 1000 meters deep.
Now, one very strong argument against blindly accepting the GRACE satellite "studies" that claim to have found massive Greenland ice losses is the simple problem that the GRACE space studies don't know how much the interior bedrock has dropped, how fast that drop has occurred, what the original levels were at any given time, and what the recent changes have, and what they will be. For example, we KNOW by measurements of teh WWII airplanes that have been found covered by 300 feet of new ice and snow that the interior ice mass has gotten thicker in the immediate 70 years. (Airplanes cannot "sink" into the ice because their wings and fuselages keep them "floating" – and ice above the airplane wing has been deposited (and not melted off) sicne the aircraft landed.) But, how much has the interior bedrock dropped due to that weight? How much resistance (lag time) is there between a deposition of say 10 gigatons of ice and the lowering of the bedrock? What is the net change in weight of the island as ice lands in the interior and pushes down the bedrock, and what is the "rise" in the caostal mountians from that push down in the interior? There have only been TWO measurements of the interior rock levels in Greenland. The second interior core drilling, I understand, failed. Thus, we have no history of Greenland's bedrock levels, no baseline for knowing if it is going up or down, and no historical knowledge to declare it is going up (or down) any faster or slower than it has ever gone up (or down) before.
Nor do we have interior top-of-ice measurements over any long enough period to really know what the ice cap is actually doing? Other than the aircraft "ice deposits" from 1940-2012, and the frequent "cover-ups" of new ice and snow over Cold War radar and meteorlogical sites and radio towers, we don't know the change in relative heights of Greenland's ice either: But, do note that NO Greenland "relative ice measurement" (like buried towers or buried DEW station domes) shows ANY station becoming "less covered with ice" over the past 60 years. So, ice appears to be accumulating whereever ice is found in central Greenland. (Coastal glaciers – all very short and very narrow) may or may not show changes.)
Thus, even though GRACE believes it is correcting for bedrock movement by measuring with GPS the TOPS of the coastal mountains (which are going up) are they not really correcting for bedrock changes in the interior (600-800 km away) by assuming that – “if the tops of the mountain ranges around Greenland’s interior ice mass are going up, then the bottom of the bedrock between the mountain ranges must also be going up by the same amount”? That assumption is, by the way, the only justification for declaring there is any loss of Greenland’s ice cap.
Could an increase in hieght of the coastal mountian ranges (becasue the interior ice is pushing down the central bedrock) cause an increase in nearby ocean water? Well – think about it and run the numbers. The central weight goes up due to an increasing ice mass of 100+ meters , the middle of the island gets heavier, the center rock goes down, the edges of the island go up (by 1 or two meters? 10 or 20 meters???) , the mountain slopes get steeper (by 1 or 2% ??) and the coastal glaciers get accelerated by a 1 – 10% so melt faster ?) and therefore the nearby ocean waters get “attracted” to the Greenland coast. (By 1 mm? 1/10 mm?)
At what time do these “scientists” stop waving their hands and actually look at the numbers they are extrapolating about?
We have CAGW extremists claiming in the classroom and on TV and in front of Congress that “hotter climates” casued more water vapor caused more storms like Katrina and Sandy.
But actual global and regional temperatures in September 2005 and in October 2012 WERE NOT HIGHER than earlier by measured amounts that could cause such a storm. October’s 1/5 of one degree higher global temperatures could NOT have caused the effect that the CAGW extremists want for their future grants and salaries. Need for their political purposes. Desire for their religious fervor to cut energy supplies to the world’s population.

February 21, 2013 8:17 am

“The BAS does some good science, especially in geology, but some of their claims are out of the mad box or reported before any real analysis of the data. Another model based claim probably using a model that assumes that glaciers are all melting etc. ”
You have misunderstood what they did.
1. There is no “real data” about what will happen if ice melts in greenland and antarctica. To understand what will happen you have to model it. you cannot run the experiment to see.
2. This is no different that modelling what would happen if a asteroid hit the earth. You put in known physics. you see what your best science predicts.
3. The Hypothetical is this: ASSUME that the ice melts. Then answer the question
A) where will the water go.
There are three ways to answer this question. ASSUME the ice melts. I know you think it wont. but, THIS exercise asks you to put on your curiousity hat. What if?
What if the ice melts. can you predict or make an estimate about the sea level rise?
Three answers.
1. we cant know
2. Errr figure out what that ice volume translates into water volume, spread that water
equally over the globe.
3. Err we know that just spreading it equally is wrong because our best science say that
gravity plays a role and rebound plays a role.. So, try to use what we know to calculate
A BETTER ANSWER than #1 ) I dunno. or #2) the water spreads equally.
Only here at WUWT would people not get that climate science is not a lab science. We dont get to melt greenland and measure where the water goes. Duh. We know that IF it melts that since that ice is “landed” the amount of water on the planet will increase not decrease.
We know that the first order answer — the water spreads evenly– is wrong, but its better than #1 which is just ignorant. So the best we can do is REDUCE the wrongness of #2 by using the best science we have. Not perfect science. Not settled science. Just the best we have

Mark Bofill
February 21, 2013 8:37 am

If I’m not doing this simple math wrong, the gravitational force exerted by the Greenland ice on objects within a few thousand kilometres is basically the same order as that exerted by the moon. Somebody feel free to point out my error – not like I compute gravitational forces regularly or anything…
If this is correct:
Mass of greenland ice: 2.67 x 10^18 kg
Mass of moon: 7.35 x 10^22 kg
Distance earth to moon: 3.84 x 10^8 m.
given F = g x m1 x m2 / (r^2),
then for any unit mass m2, the force between the moon and m2 is:
(6.67 * 10 ^ – 11) * (7.35 * 10 ^ 22) * m2 / (3.84 * 10 ^ 8)^2 = 12.77m2 * 10 ^ -5 N.
where for Greenland ice, lets take an r of 5 x 10^3 km for the sake of argument:
(6.67 * 10 ^ – 11) * (2.67 * 10 ^ 18) * m2 / (5 * 10^6) = 3.56m2 * 10 ^ -5 N.
I wouldn’t-a-thunk-it, but that’s what the math looks like. Note that I’ve made no argument regarding what this does to sea level, was just trying to get a feel for the plausibility of scale of forces here.

February 21, 2013 8:40 am

Here is a new sea level curve that may be of interest:
Figure 2 in: http://rockbox.rutgers.edu/kgmpdf/09-Wright.GlobalPlanet.pdf
Late Pleistocene Sea level on the New Jersey Margin: Implications to eustasy and
deep-sea temperature
Wright, et.al 2008 in Global and Planetary Change 66 (2009) 93–99

Fig. 2. Comparison of our sea-level record from mid-Atlantic U.S. margin (solid red circles) with Huon New Guinea terraces (blue filled circles, Cutler et al., 2003),light blue filled circles connected by lines (Chappell and Shackleton, 1986) dark blue circles connected by lines in MIC3, Chappell, 2002), Barbados (Green +, Fairbanks, 1989; Bard et al., 1990; green triangles, Cutler et al., 2003), the Araki record of Urmos (1985; gray circles), the Red Sea record of Siddall et al. (2003; pink circles), and benthic foraminiferal δ18O record from Pacific (Carnegie Ridge) core V19-30 (Shackleton and Pisias, 1985; black line). Gray curve at bottom shows variations in insolation for June at 65°N latitude.

It is a time-reversed X-axis, today at left, 150 ka at right.

Billy Liar
February 21, 2013 8:40 am

What’s with the anthropomorphising of sea level? Fingerprint?
sea-level variations (fingerprints)
if ‘fingerprints’ means ‘variations’ what’s wrong with using ‘variations’ throughout the paper?
I suspect a pathetic attempt at ‘climate communication’.

Mark Bofill
February 21, 2013 8:42 am

uhm, screwed up the Greenland ice computation a bit there. ~grin~
(6.67 * 10 ^ -11) * (2.67 * 10 ^ 18) * m2 / (5 * 10 ^ 6) ^ 2 = .71 * 10 ^ -5 = 7.1 * 10 ^ -6 N
Still sort of surprising to me.

February 21, 2013 8:46 am

You are aware that the sea isn’t really level? The deviations are small. but measurable and are, I’m assured, used in roughly mapping sea floor geography. Presumably, they have been confirmed by sonar. I read recently that seamounts only a km or so high can be identified and mapped using sea level variations. Static Variations in sea level due to sea bottom topography, wind patterns , rotation are NOT the same thing as sea level changes due to ice melt, runoff, glacial isostacy, tectonics. Sometimes folks have trouble keeping that straight.
Agreed. The deviations are small but measurable and nearly static as sea floor topography is a very, very slowly varying function. Nevertheless, the areas of the tectonic plates underlying the oceans and continents is very large, so even small changes as the plates move around can have significant effects on overall ocean level or its apparent depth relative to the local land surface.
I like the way you separate the “local” changes from global ones — overall SLR is driven by average temperature (thermal expansion), the melting of land based ice, and tectonics, where the latter is, I would guess, spectacularly difficult to accurately measure or estimate as it would require a detailed measurement of the precise location of the Earth’s crust in some absolute coordinate frame. We can probably manage that for the land surface at this point, but I’m infinitely dubious about our ability to do so for the ocean floor. Locally, water may pile up a bit more or less here or there as the decadal oscillations vary and oceanic currents wander around or local changes occur in topography that are somehow distinct from the more global tectonic changes, but they have very little global effect in SLR and are at most small perturbations of the globally varying level.
There is a large energy cost to making the ocean surface deviate too much from a coriolis-corrected gravitational equipotential. It’s an open system with heat inputs and outputs, so it can self-organize to sustain small deviations as water warms and expands in one place SO that it provides pressure gradients driving currents to someplace else, but most of that stuff is well-established and stationary too. Predicting changes from this stationary behavior is second or even third order stuff, and my gut says that the changes will be very, very small compared to those associated with direct thermal, melt, or tectonic/volumetric effects.
And I have a very hard time believing that we need to be terribly concerned about the gravitational field of the Greenland or Antarctica ice packs, given that it would take millennia to significantly alter the ice mass in either case even if it warmed significantly. We’re talking a lot of mass, all of it insulated by the mass on top of it. Also, there is that pernicious 1/r^2 in the law of gravitation.
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DesertYote
February 21, 2013 8:48 am

Do the models tell us what the oceans will look like during the more likely scenario of increased glaciation?

February 21, 2013 9:19 am

We know that the first order answer — the water spreads evenly– is wrong, but its better than #1 which is just ignorant. So the best we can do is REDUCE the wrongness of #2 by using the best science we have. Not perfect science. Not settled science. Just the best we have
Which is perfectly reasonable. Of course a true cynic would note that it really is equivalent to making a hypothesis like “A gamma ray burst hits the Earth” or “Supposed the supervolcano under Yellowstone suddenly became active” or “the Earth gets hit by a 10 km asteroid” — things that are pretty unlikely but possible, in any short term time frame. Fun to think about, in a slightly twisted sort of way, but completely irrelevant to the climate debate even though in all three cases they would have enormous climate consequences.
Except that the results aren’t going to be presented as being completely irrelevant, are they? Nobody will bother to tell people that it would take a few thousand — or even tens of thousands — of years to melt the ice in Greenland or Antarctica, and that over the same time frame other changes would occur that would very likely make the “predicted” changes disappear into the noise associated with more important local changes (that themselves have to be predicated into the model or the icecaps won’t melt in the first place). Chances are good that people will take these predictions seriously as the basis of claims that the ocean is going to rise a lot here instead of there, and money will be spent to ameliorate a prediction of damage made on the basis of a model that even the modellers knew wouldn’t actually occur in a time frame relevant to contemporary human endeavor.
Many places are starting to spend money — in many cases a rather lot of money — to proactively prevent damage from a hypothetical rise of sea level that models predict will be as large as a meter or more by 2100. In the meantime the actual data for SLR shows that SLR rates have held approximately steady at less than 10 inches per century over the entire interval over which they have been measured, some 140 years. In order to reach the goal of a meter plus by 2100, the rate of SLR would have to more than triple, sustained, for the next 87 years, to order of a centimeter a year (which still wouldn’t do it, but would get close). At a whole centimeter a year, one would have decades to deal with the consequences before it became a serious issue anywhere in the world, and we haven’t the slightest actual evidence that it will reach a centimeter a year ever.
So the reason WUWT readers are less inclined to play the “nifty what-if science” game is because they see past the nominal result to the political subtext and the way the science will be distorted by those seeking to profit from exaggerated or misused claims. This happens all the time, right? Superstorm Sandy is evidence of climate change! So is Katrina! So is the latest major weather event, no matter what it is!
SLR is the single most important aspect of catastrophic climate change predictions. There is likely to be almost no net damage at all from global warming, anthropogenic or otherwise, especially if it takes place at a decadal crawl as it has for most of the last several hundred decades. Yes, patterns of rainfall and drought might change, but they change all the time anyway (see “Great Dust Bowl” or look at the paleoclimate evidence of drought distributions over the Holocene) and it isn’t likely that the changes we see will be qualitatitively or quantitatively particularly different than what we get naturally all the time. An argument can be made than on average the world would benefit from being warmer — it certainly has in all of the warm periods in the historical record.
No, the real argument for catastrophe is all SLR. If the ocean rises a meter or more in a century, it will flood a fairly predictable amount of shoreline and displace coastal or island residents. This has a computable, predictable cost, and that cost is very high because people like to live along ocean shores because of the climate and economic advantages to be found there. Take away SLR, and the “catastrophic” prediction devolves to egregious assertions of massive droughts or catastrophic superstorms, both of which are easily refuted by the actual data if one can just shut up the people that are openly lying about it in the political media.
Which is fine, but it makes SLR a politically crucial issue, because there is no cause for alarm in any possible mix of the gauge level or satellite derived SLR measurements! It isn’t that the ocean is doing alarming things, it is that we predict that eventually it will do alarming things. Maybe. If all the hypotheses and what-ifs that go into the models are right. If the water that melts in greenland or antarctica actually makes it to the ocean instead of just re-freezing (an instructive exercise is to compute the heat needed to melt all that water) and guestimate the time frame required for it to melt given surface to volume, albedo, and variation of surface forcing).
So when an article appears predicting the outcome of something that will almost certainly never happen, something that if it started to happen today might actually complete by the year 7500 CE, one does indeed have to be a bit cynical about whether or not it won’t appear in a lead article in some newspaper that is interpreted in just the right way to panic the residents of Patagonia or some island in the South Pacific into thinking that they mean that all of this is going to happen in the next thirty or forty years as that meter and a half SLR finally starts to happen.
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February 21, 2013 9:38 am

uhm, screwed up the Greenland ice computation a bit there. ~grin~
(6.67 * 10 ^ -11) * (2.67 * 10 ^ 18) * m2 / (5 * 10 ^ 6) ^ 2 = .71 * 10 ^ -5 = 7.1 * 10 ^ -6 N
Still sort of surprising to me.

This isn’t a good estimate for an icepack, however, because the ice isn’t distributed in anything one could fantasize into a ball (as in the famous “assume a spherical cow” problem:-), but rather in a sheet that is always negligibly thin compared to its area. The correct estimate computation is to take a circular disk of mass and integrate to find the total field at a point on the rim and/or at points past the rim. I’m too busy to do the calculus right now, but it probably isn’t too difficult in plane polar coordinates (certainly easy if one has a handy quadrature program in e.g. matlab or octave). Maybe I’ll do it later if I have time during recitation or while administering an exam this afternoon. It’s tricky because the mass now varies with r^2 AND the field varies with 1/r^2, which makes both the geometry and scaling difficult. With ball it is simple — the mass scales like r^3, the field of the mass like 1/r^2, so the net variation is linear in r. I think that means that your estimate above is too high, but I’d want to do the computation before swearing to it as it is easy to guestimate wrong.
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