Svante Arrhenius's Prediction of Climate Change

7 Post author: JonahSinick 10 July 2013 11:00PM

In Intelligence Explosion analysis draft: introduction, Luke Muehlhauser and Anna Salamon wrote

Svante Arrhenius' (1896) models of climate change lacked modern climate theory and data but, by making reasonable extrapolations from what was known of physics, still managed to predict (within 2°C) how much warming would result from a doubling of CO2 in the atmosphere (Crawford 1997).

As a part of the project "Can we know what to do about AI?", I've summarized my initial impressions of Arrhenius's predictions and the impact that they might have had. The object level material is all draw from Wikipedia, and I have not vetted it.

  • Arrhenius's chemistry was sound: the equation for how the Earth's temperature varies as a function of concentration of carbon dioxide is the same equation used today.
  • For the most part, Arrhenius didn't model how increased carbon concentrations would impact other factors that influence the Earth's temperature. I don't know if this is because he wasn't aware of these, because he thought that they were sufficiently small to ignore, or because he didn't try to.
  • Knut Ångström criticized Arrhenius's claim on scientific grounds, giving a different model which predicted no climate change from increased carbon concentrations. My surface impression is that Arrhenius was a much more accomplished scientist than Knut Ångström was. To the extent that this is true, I think that Ångström's view should be heavily discounted, but I haven't investigated further.
  • While Arrhenius recognized that the use of fossil fuels could increase atmospheric concentrations, he underestimated how fast carbon emissions would increase (by a huge margin) because he didn't recognize how widespread fossil fuel use would become.
  • People later thought that Arrhenius's prediction that atmospheric carbon would increase was wrong, because they thought that oceans would serve as great carbon sinks. It would be interesting to look into whether they had good reasons for thinking this at the time.
  • Arrhenius predicted that global warming would have positive humanitarian impacts on balance, global warming now appears to have negative humanitarian impacts on balance. 

Taking this all together, based on my surface impressions, I think that this case study gives evidence against attempting to predict the far future being useful:

  • To the extent that Arrhenius was right, he was largely ignored. 
  • Arrhenius could have been wrong (the countervailing theories could have been right), but this warrants further investigation. 

Comments (22)

Comment author: roystgnr 11 July 2013 03:20:54AM 7 points [-]

It would be interesting to look into whether they had good reasons for thinking this at the time.

Henry's Law? Correct me if I'm wrong, but the oceans hold something like 98% of the CO2 in the biosphere, so it's easy to predict that in equilibrium they'll absorb something like 98% of the fossil carbon we add to the biosphere. It might not have been as easy to predict the transient behavior; IIRC the oceans are only absorbing CO2 at roughly a third of the rate at which we're now emitting it, just because the mixing processes are so slow.

Comment author: JonahSinick 11 July 2013 08:07:31PM 1 point [-]

Thanks.

Comment author: Lumifer 11 July 2013 06:22:40PM 5 points [-]

It seems to me there is a difference between doing science (in particular, figuring out the ways in which the physical world works) and making far-future predictions.

When Newton described the law of gravity he did not make far-future predictions about objects falling. He just discovered a law of nature. In the same way, Arrhenius was trying to figure out how the link between atmospheric CO2 and global climate works. It's just normal science and as such doesn't offer evidence for or against far-future predictions.

Oh, and by the way, whether global warming has positive or negative net impact critically depends on its magnitude. Minor global warming (up to about 2 degrees C, I believe) is commonly considered beneficial.

Comment author: Luke_A_Somers 11 July 2013 06:39:11PM 0 points [-]

As I understand it, it mainly has to do with the speed. Too fast, and plants (and some animals) can't keep up with their temperature zones.

Comment author: JonahSinick 11 July 2013 08:08:54PM *  0 points [-]

When Newton described the law of gravity he did not make far-future predictions about objects falling. He just discovered a law of nature. In the same way, Arrhenius was trying to figure out how the link between atmospheric CO2 and global climate works. It's just normal science and as such doesn't offer evidence for or against far-future predictions.

There might be, e.g., economic laws that can be thought of as "science" that have relevance to predicting things related to artificial intelligence.

Oh, and by the way, whether global warming has positive or negative net impact critically depends on its magnitude. Minor global warming (up to about 2 degrees C, I believe) is commonly considered beneficial.

Can you give a reference?

Comment author: Lumifer 11 July 2013 09:16:12PM 2 points [-]

I don't think economics is relevant -- Arrhenius was doing "standard" hard science and not predicting what human societies might or might not do. The laws of economics are quite different from laws of nature.

For positive net impact see e.g. the Stern Review. The main factors are increased agricultural productivity (because of CO2) as well as the reduction in winter heating and winter-related deaths.

Comment author: JonahSinick 11 July 2013 10:03:15PM -1 points [-]

I don't think economics is relevant -- Arrhenius was doing "standard" hard science and not predicting what human societies might or might not do. The laws of economics are quite different from laws of nature.

Even so, Arrhenius's successful prediction still constitutes a weak argument for it being possible to predict the future.

Comment author: Lumifer 12 July 2013 03:32:27PM *  2 points [-]

I don't think anyone is contesting that it's possible to predict the future.

The real issue here is making good far-future forecasts concerning things (or ideas, patterns, arrangements, etc.) that do not exist yet -- and here I don't think the Arrhenius example provides even a weak argument.

Comment author: lukeprog 10 July 2013 11:40:29PM 3 points [-]

I think that this case study should cause one to update away from predicting the far future being useful

This should be a pretty tiny update, though, since it's only one case study, and it's a mere surface impression.

Comment author: JonahSinick 11 July 2013 12:03:26AM 1 point [-]

Changed to

I think that this case study gives evidence against attempting to predict the far future being useful

Comment author: Frood 11 July 2013 02:56:54AM 2 points [-]

I think that this case study gives evidence against attempting to predict the far future being useful

Isn't it evidence for a more narrow conclusion? Specifically, that attempting to precisely predict the far future isn't going to work well? Arrhenius was correct that climate change was going to happen, just wrong about several particulars. Or was he right for so many wrong reasons that it's not worth noting?

Comment author: JonahSinick 11 July 2013 03:43:19AM 1 point [-]

Here by useful I meant "prescribing actions that turn out to have social value." I agree that Arrhenius had the right general idea, and that this is noteworthy.

Comment author: JoshuaZ 10 July 2013 11:14:40PM 1 point [-]

Arrhenius predicted that global warming would have positive humanitarian impacts, for reasons that are retrospectively wrong, and instead global warming appears to have negative humanitarian impacts.

This seems like an oversimplification. It would seem more accurate that Arrhenius thought on balance it would have a net positive humanitarian impact and current consensus is that it is net negative.

Comment author: Dentin 11 July 2013 08:31:18PM *  -1 points [-]

One must be very careful here: Arrhenius is almost certainly using a different utility function for 'positive' than current consensus uses today. As I understand it, fewer people die yearly of heat than freezing and warming opens more land than it closes off, but in today's environment more concern is given to things like "OMG GLOBAL WARMING" than actual data.

[edit]I was not referring to temperature or the temperature calculation model. I was referring to the net positive or negative effect on society. Sorry for the confusion.[/edit]

Comment author: fractalman 11 July 2013 09:18:47PM 1 point [-]

Are you trying to make sure we don't inadvertently discard [hypothesis: unusual utility function]? Well I'll say the same thing about [hypothesis: Arrhenius simply had a bad model even though his utility function was not terribly different from ours] From the wiki ( http://en.wikipedia.org/wiki/Svante_Arrhenius ) "In his calculation Arrhenius included the feedback from changes in water vapor as well as latitudinal effects, but he omitted clouds, convection of heat upward in the atmosphere, and other essential factors. His work is currently seen less as an accurate prediction of global warming than as the first demonstration that it should be taken as a serious possibility."

-sounds like he used a simple, fast model, rather than a detailed one that only a cray-4something supercomputer could run in less than a year. All he has to do is neglect, say, storm damage for his model to feed the wrong results to his final utility function even if he manages to predict the correct temperature.

Comment author: Dentin 12 July 2013 09:46:58PM -2 points [-]

No, I'm not saying anything at all about temperature or the model; I was talking about the social effects, eg 'positive effect on society'.

Positive and negative in this day and age is dominated by public opinion and is very different than what it was back then. His view back then could have been as simple as "fewer people will freeze to death and there will be more arable land and better crops". Ours view today marginalizes those effects and seems almost entirely based on the idea that change of any sort is negative.

Comment author: fractalman 12 July 2013 10:31:19PM 0 points [-]

Oh, I’msure he gave different weights to different things in his utility function than say…well pretty much anyone other human…but there are plenty of models that show a disaster for any “typical” human utility function. The ones showing disaster: venus and disaster: new ice age…are not exactly rare, though I’m not exactly sure how seriously to take them myself.
"Positive and negative in this day and age is dominated by public opinion"

Relying on Public Opinion is a cheap and dirty variant of Auffman's agreement theorem; it gives plenty of bad results, but it's a million times easier to use, and is still slightly better-maybe-than pure random-decisions....er, maybe.

Either that or we just differ in terms of what we're labeling utility function versus part of the model?

Comment author: JonahSinick 10 July 2013 11:23:20PM 1 point [-]

Thanks, I fixed this.

Comment author: gwern 10 July 2013 11:44:30PM 0 points [-]

Do we know whether Arrhenius was right at the time that it was a net positive? 1896 was quite a long time ago, as far as populations and economies go.

Comment author: JoshuaZ 11 July 2013 12:27:58AM 1 point [-]

No idea. I have no idea if anyone has looked into this in that much detail. My guess would be that he was wrong, since agriculture would have been even more insensitive to change in many parts of the world (although less so in other areas since monocropping wasn't as common).

Comment author: DanArmak 13 July 2013 12:34:36AM *  0 points [-]

He was writing soon after the end (in retrospect) of the Little Ice Age, which I think is generally agreed (then and now) to have had negative effects. So a predicted return to warmer temperatures would be a good thing - it's not called the Medieval Climate Optimum for nothing!

The difference between the Optimum and the LIA was less than 1C, so saying warming up another 1C would be even better was extrapolation. But Arrhenius probably didn't have historical climate data of that precision, and it may have been the reasonable prediction to make.

The LIA and the Optimum weren't global - some places cooled down, others heated up. (As is true of most climate change). But again, Arrhenius wouldn't have known that. The last 800 years of history up to his time, on either side of the North Atlantic, were of gradual cooling down with deleterious effects.

Comment author: gwern 13 July 2013 01:30:04AM 0 points [-]

Yes, the Little Ice Age was part of what I was thinking of, although I was unsure it was really relevant - the Little Ice Age should've ended at least 50 years before Arrhenius seems to have done his relevant work.