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Antarctica losing six times more ice mass annually now than 40 years ago

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Re: Antarctica losing six times more ice mass annually now than 40 years ago

#21
post #9

Earlier quoted context omitted.

You know less than you think you do. GPS is not part of the measurement suite in OP, but better than 1.8 cm vertical resolution from GPS has been possible since the late 1990s, using after the fact orbit determination. It is now routine to get sub-cm vertical accuracy in GPS measurements [1, fig. 3, magenta line]. The horizontal displacements are known to about a mm. These displacements are known so accurately that y…

> You know less than you think you do. Not clear how this ad-hominem enhances your argument. >If you don’t know how they did the measurement, why are you so sure it is wrong? I'm not "so sure", I'm just skeptical. I find it hard to believe that one can estimate the net ice loss over a huge and dynamic body of ice with an accuracy better than 0.001%, using any type of measurements conceivable. You are saying that some…

> You are saying that somehow the whole mass of Antarctica is irrelevant as a base mass to calculate accuracy...

Yes, that is correct. The mass of Antartica, whatever that might mean, is not required in itself. Percent error in estimating that is not relevant. Remember that we are interested in mass changes only.

The GRACE measurement is based on explaining the relative position of a pair of orbiting spacecraft by mass changes in 4500 "mascons" -- equal-area spherical caps that blanket the globe (see figs 2 and 3 of [1]). The fundamental observation is the range and relative velocity of the pair of spacecraft, which can be very accurately determined. The mass within each mascon has an analytically-known relationship to these observations (eqs. 8, 9 of [1] - relating mass sigma to acceleration a).

It's a monthly measurement -- you accumulate a month's worth of orbits, and solve a least-squares problem to fit the range-rate data with the masses. This can also be viewed as maximum a posteriori estimation in the conventional way. See equation 13 of [1].

I hope this clarifies why it does not matter what the ice underneath is doing. The ice has mass, and therefore it affects the gravitational potential that the satellites operate in.

You are correct to be surprised. The measurement is surprising, and it has been revolutionary. Hundreds of papers have been published using it, and it has received scrutiny and undergone improvements for more than a decade. Three independent groups (JPL, UTexas, DLR) have worked on the full retrieval over this time. Lots of what we know about groundwater withdrawals, ice sheets, and more recently deep ocean currents, is based on this measurement.

There is an attribution issue at ice/water boundaries (sec. 6 of [1]). It is due to mixed pixels -- a mascon that is part water, part ice. The mass change observed at the mascon should not be spread evenly over the whole pixel. It is split in constrained way based on errors and priors. But as [1] explains, this is not an "order of magnitude" type error, it's just a correction.

[1] https://agupubs.onlinelibrary.wiley.com/doi/full/10.1002/201...

But to repeat -- the fundamental result of the OP does not rely on GRACE (nor does it rely on GPS). It relies on ice sheet velocity models.

Re: Antarctica losing six times more ice mass annually now than 40 years ago

#22
post #21

Earlier quoted context omitted.

> You know less than you think you do. Not clear how this ad-hominem enhances your argument. >If you don’t know how they did the measurement, why are you so sure it is wrong? I'm not "so sure", I'm just skeptical. I find it hard to believe that one can estimate the net ice loss over a huge and dynamic body of ice with an accuracy better than 0.001%, using any type of measurements conceivable. You are saying that some…

> You are saying that somehow the whole mass of Antarctica is irrelevant as a base mass to calculate accuracy... Yes, that is correct. The mass of Antartica, whatever that might mean, is not required in itself. Percent error in estimating that is not relevant. Remember that we are interested in mass changes only. The GRACE measurement is based on explaining the relative position of a pair of orbiting spacecraft by ma…

Thanks for taking your time to explain all this. It's quite cool. I spent some time with your link and also with the wikipedia page about GRACE. This is quite an ingenious experiment. First I thought the two satellites were at different altitudes, one in LEO and one in, let's say GSO. The high altitude satellite perceives the Earth more or less like a mass point, while the low altitude satellite is much more sensitive to the distribution of mass, especially at the Earth's surface. You could in principle use several satellites at different altitudes, and do some sort of "triangulations". This way, you could potentially learn about the mass distribution deep inside the Earth. Anyway, the actual way it's done is also cool, a lump of mass, like a mountain pulls faster the leading satellite, Jerry, and the second satellite, Tom, lags a little behind. Later on, Tom goes over the same mass and catches on.

That being said, the complexity of this model sounds absolutely humongous. Complex models are exciting for mathy guys to work with, but are inevitably subject to more model risk. As coders say, the number of bugs is roughly proportional with the number of lines of code.

You're going to say that this numerical calculation is bug free. A numerical calculation with 4 thousand mass element (mascons) and distance measurements probably in the billions, and lots and lots of approximations and contributions from the sun and the moon and the planets. Of course you are not going to say it is bug free. Should we trust ice loss calculations coming from GRACE? To be honest, after I read your explanation and all other things about GRACE, I'm less skeptical. I don't fully trust it, but I don't fully distrust it either.

But as you said, this is not that relevant, since the actual result published was not based on GRACE, but rather on ice flow models. Now these models I take with quite a large grain of salt. Why? Models produce estimates, and the estimates generally include an uncertainty level. The uncertainty reflects only how the uncertainty in inputs propagates to the uncertainty in the final result, not the model uncertainty per se.

Take a look at the figure 1 in [1]. It shows the precipitation in Antarctica over 2.5 decades based on several models. The average number (labeled "multi-model mean") shows very little variability from year to year, and you could infer that very little uncertainty as well. However, this is just an artifact of taking the average of several not very highly correlated time series. The model uncertainty is better reflected by the wide range of the numbers produced by the different models. If you look at this range, it's about 200mm/y, which is 10 times the net ice loss we are talking about here.

Do you see why I'm a bit skeptical?

But anyway, thanks again for taking your time with me. I learned something cool today.

[1] https://www.sciencedirect.com/science/article/pii/S187396521...

Re: Antarctica losing six times more ice mass annually now than 40 years ago

#23
post #21

Earlier quoted context omitted.

> You are saying that somehow the whole mass of Antarctica is irrelevant as a base mass to calculate accuracy... Yes, that is correct. The mass of Antartica, whatever that might mean, is not required in itself. Percent error in estimating that is not relevant. Remember that we are interested in mass changes only. The GRACE measurement is based on explaining the relative position of a pair of orbiting spacecraft by ma…

Thanks for taking your time to explain all this. It's quite cool. I spent some time with your link and also with the wikipedia page about GRACE. This is quite an ingenious experiment. First I thought the two satellites were at different altitudes, one in LEO and one in, let's say GSO. The high altitude satellite perceives the Earth more or less like a mass point, while the low altitude satellite is much more sensitiv…

I appreciate the reply. I happen to know some of the GRACE team, so I'm personally predisposed to respect their results. But, it's also significant evidence that the retrieval was re-implemented by 2 other teams, one US, one German, with similar results. All 3 datasets are available to the community for comparison.

About fig. 1 of [1]: Of the spectrum of important Earth system models, precipitation is the least well-described. For good reasons: highly non-gaussian, very local in nature, highly dependent on nonlinear condensation/temperature properties. Even in the continental US, precipitation is not well-described. Your remark about deciding on a bogus "uncertainty" of the mean precipitation in fig. 1 is absolutely correct.

But it's of no use to be "skeptical about models" based on poor results of one class of models. The whole reason that paper was published is to draw attention to that fact! They literally say this in their conclusion. ("Most CMIP5 and reanalysis models are unable to simulate a consistent spatial and temporal precipitation pattern for the Antarctic.")

I have come to believe that skepticism is somewhat empty as a value. That's why you have experts who know what the state of the art is, and what to be skeptical about.

Re: Antarctica losing six times more ice mass annually now than 40 years ago

#24
post #23

Earlier quoted context omitted.

Thanks for taking your time to explain all this. It's quite cool. I spent some time with your link and also with the wikipedia page about GRACE. This is quite an ingenious experiment. First I thought the two satellites were at different altitudes, one in LEO and one in, let's say GSO. The high altitude satellite perceives the Earth more or less like a mass point, while the low altitude satellite is much more sensitiv…

I appreciate the reply. I happen to know some of the GRACE team, so I'm personally predisposed to respect their results. But, it's also significant evidence that the retrieval was re-implemented by 2 other teams, one US, one German, with similar results. All 3 datasets are available to the community for comparison. About fig. 1 of [1]: Of the spectrum of important Earth system models, precipitation is the least well-…

> But it's of no use to be "skeptical about models" based on poor results of one class of models

This is not just "one class of models". This is the gain side of the gain-loss equation needed for the estimation of ice balance in Antarctica. If that side has an uncertainty 10 times higher than the stated result, then how can I not be skeptical?

>That's why you have experts who know what the state of the art is, and what to be skeptical about.

"Trust the experts" lead to the 2008 financial crisis. "Trust the experts" was what string theorists were telling us until Lee Smolin exposed them. "Trust the experts" is ultimately what religion is.

>skepticism is somewhat empty as a value

That's a surprising (for me at least) point of view for a scientist.

I'm quite sure you wanted so say something else. Something like in your experience, those who describe themselves as climate skeptics (I mean in what other context do people declare themselves skeptics? I'm a skeptic about the dark matter as well, by the way) are simply obstructionists, or ignorants, or have a political agenda or something else. Since we are all more efficient forming Bayesian priors to work in life with, your Bayesian prior in this case is that "skepticism is an empty value". And that's quite fair. I happen to agree that a large part of "climate skeptics" are quite toxic. The way the Trump administration treats the EPA, or science in general seems quite deranged. But that doesn't mean you can't be genuinely skeptic. In this case skepticism has nothing to do with values.

I simply approach this debate and I use my own heuristics. I don't know any climate scientist to use heuristics such as human character, you seem you do. For me, I apply other heuristics, based on my day to day work with models. I reached other conclusions so far than those that you reached.

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