‘Chaotic systems are not predictable’—Sure, but who says climate is chaotic? 13

(Part of the How to Talk to a Global Warming Skeptic guide)

Objection: Climate is an inherently chaotic system, and as such its behavior can not be predicted.

Answer: Firstly, let's make sure we define climate: an average of weather patterns over some meaningful time period. We may thus discount the chaotic annual fluctuations of global mean temperature. That's weather, and one or two anomalous years does not represent a climate shift.

Quite a few people believe that climate is a chaotic system, and maybe on some large-scale level it is. But it is not chaotic on anything approaching the time scales of which humans need to be mindful.

The notion that climate is chaotic tends to be taken as a given, with little supporting argument. Certainly the march of the seasons is nice and regular, determined directly by the orbital inclination of the earth. If a large volcanic eruption occurs, global temperature drops for a few years quite predictably. Diurnal cycles show the direct influence of insolation changes on the system.

Clearly, if you turn down the sun, the temperature drops. Clearly, if you throw a bunch of SO2 into the stratosphere, the temperature drops. Clearly, if you turn the surface completely white, the temperature drops. And clearly, if you double the amount of an important GHG in the atmosphere, the temperature rises.

What about longer timeframes, say, glacial/interglacial cycles? These are by no means perfectly regular, but they are far from random. They are also a broadly deterministic effect following from a known cause: orbital variations.

Granted, the data is quite chaotic on the multi-century time scale, though it clearly follows a 120Kyr cycle. But who's to say that if we had enough data and understanding, these spikes and dips could not be thoroughly explained by solar influences, volcanic eruptions, greenhouse gas changes, ice sheet dynamics, etc.?

The ocean-atmosphere climate system is certainly a complex system, and capable of some surprising behaviours, but there is no evidence that it is chaotic in the formal sense.

I see no problem with speaking in a meaningful way about future expectations. Model outputs do produce specific year-to-year fluctuations -- fluctuations that are not hindcasted well (that's the weather, after all) -- but nobody's interested in knowing the exact temperature of any particular year. It is the decadal and century trends we want to anticipate.

It is the climate's broadly deterministic responses to forcings that are of interest, and all evidence points to such determinism.

(The original article has a great deal of interesting discussion under it, for those with the stomach for talk of strange attractors, dynamical systems, and stochastic processes.)

Former musician, turned tree planter, turned software engineer. Same old story

I have been blogging about climate change since 2006 at A Few Things Ill Considered.

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  1. Delay And Deny's avatar

    Delay And Deny Posted 3:45 am
    04 Mar 2007

    I Wanna Marry A Model!The notion that climate is chaotic tends to be taken as a given, with little supporting argument.
    No, complex dynamic systems with more than 3 independent variables are taken to be chaotic.
    Clearly, if you turn down the sun, the temperature drops. Clearly, if you throw a bunch of SO2 into the stratosphere, the temperature drops. Clearly, if you turn the surface completely white, the temperature drops. And clearly, if you double the amount of an important GHG in the atmosphere, the temperature rises.
    But these are single independent variables.  y=f(x),  Temp = f(SO2).    Yes, you can strip away single variable relationships, but they don't add up to "climate".
    I see no problem with speaking in a meaningful way about future expectations.
    I therefore challenge you:
    Present to us, the best of the best "climate models" here on Grist.   But not models that explain the past, but models that predict future behavior.
    I would like to see 50 and 100 year  projections, with 5 year intervals.   These models should show the relationship of anthrogenic CO2 gases to Global Mean Temperature.  
    In fact, why not a year by year model?   There should be a definitive measure of how antrogenic CO2 is defined.
    Then we can bet a beer or something on whether (pun intended) the model fits the results or not!

    The Texeme Construct offers international text memetics construction and textcasting services.
  2. Werdna Posted 2:52 am
    22 Mar 2007

    Chaotic system can have predictive qualitiesPerhaps another way of saying this is: yes, climate is complicated, but that doesn't mean that we can't make meaningful predictions about it.
    I am not up on my chaos theory mathematics, but I don't think, as jabailo says above, that it has anything to do with a number of independent variables (Wikipedia says nothing on it: http://en.wikipedia.org/wiki/Chaotic_system).
    I guess the best way would be to have counter-examples.  Although, a colony of ants can be represented by a chaotic system, we can still predict that they will make an ant hill.  We may be able to predict its size and its depth.  We may even be able to predict how fast it will grow, etc.
  3. atreyger Posted 4:22 am
    22 Mar 2007

    jabailoSigh,

    Clearly you are not familiar with complex systems. Presence of more than three variables does not mean chaos. It means that our brains are less capable of understanding these variables and their interactions, with the effect of appearing chaotic to someone less knowledgeable in the field. This is due to us thinking in three dimensions along a timeline. Clearly, there are plenty of systems (including anthropogenic) that experience more than three variables at one time. How do you think a plane flies?
    What you are saying with y=f(x) is that we cannot create multiple regressions. Seems that one semester of statistics for me has just been completely erased by your post. Wow, you must be a real powerhouse in theoretical statistics. Models that 'explain the past' have to exist, that is how models are validated and if validated, then projections for the future can be made using these same models.
  4. bkalafut Posted 5:53 pm
    26 Mar 2007

    3 variablesCome on now, if that were so, the motion of a particle experiencing no forces wouldn't be predictable.
    I think you're confused.  There's a result--a clever one, at that--in the theory of discrete-time dynamical systems that says that the existence of a cycle of period three implies the existence of a cycle of every other possible period, sometimes called the "Period Three Implies Chaos" theorem.
  5. Delay And Deny's avatar

    Delay And Deny Posted 2:22 pm
    29 Apr 2007

    Yeah, That's Right....3!If the system is described by 3 or more independent variables satisfying coupled nonlinear differential equations, the possibilities naturally become even more diverse. Most surprisingly, however, a totally new kind of possibility arises for the equilibrium solution, that is neither a fixed point nor a limit cycle. This is called a  strange attractor . It is a sort of tangled structure in the space of the variables representing a region in which the system is not periodic, but at the same time is a region to which the system is confined for all time once it falls into the attractor. Moreover, the attractor has a  fractal  structure. The famous  Lorenz model  (which involves 3 variables) has a strange attractor with two "wings", shaped somewhat like a  butterfly,  with a fractal dimension of about 2.06 (for suitable values of the parameters of the model). The dynamical system can then exhibit chaos.
    http://www.physics.iitm.ac.in/~suresh/shaastra/index.html ...

    You Read It Here First
  6. DeepishThought Posted 1:27 pm
    30 May 2007

    Chaos & Climate"The ocean-atmosphere climate system is certainly a complex system, and capable of some surprising behaviors, but there is no evidence that it is chaotic in the formal sense."
    Interestingly, the link embedded in this comment leads to a Wikipedia article on chaos theory that actually includes the following comment:
    "Everyday examples of chaotic systems include weather and climate."
    The idea that the climate, "is an inherently chaotic system, and as such its behavior can not be predicted." is important and needs to be addressed, but your article could clearly use some work.
    I would try something along the lines of:
    The scientific term 'chaotic' has a very specific meaning.  The behavior of chaotic systems are not unpredictable or random.  Chaotic systems develop in a deterministic way and are therefore, in principal, totally predictable.
    In practice however, chaotic systems are very difficult to predict because their behavior is extremely sensitive to their initial conditions.  Make a slight error in measuring the initial conditions and observed behavior tends to depart very rapidly from predicted behavior.
    The atmosphere is the classic example of a chaotic system, which is why predicting the weather more than a few days in advance is so frustratingly difficult.
    However, if we were able to precisely measure the current state of the atmosphere and we fully understood all rules governing its development over time, we would be able to perfectly predict the weather.
    As it happens we can only roughly measure the current state of the atmosphere and we don't fully understand all the rules that govern its operation.  However, this does not mean that weather is completely unpredictable.  Our approximations are good enough that we can make usably accurate predications over limited time horizons.
    This leads to the obvious question, if weather predictions are next to worthless more than a couple of weeks out, how can we seriously make predict climate decades or even centuries in advance?
    The answer is that 'climate' implies a much less specific prediction than 'weather'.  The less specific the prediction, the longer the time horizon over which we can predict with some degree of confidence.  
    We can predict with reasonable accuracy the high temperature in Baltimore a few days in advance.  We can also make a pretty reasonable prediction of the average summer high temperature in Baltimore in February.  What can't predict in February, at least not any better than a random guess, is the high temperature on the 4th of July in Baltimore.
    Average annual global temperature is about the least specific environmental measurement immaginable, so it is, unsurprisingly, something we can predict with reasonable confidence over very long timescales.
    Having said that, I'm not particularly enamored with long range climate models.  They inherently include all kinds of unconfirmed assumptions about how the atmosphere-ocean-ice system operates and about future economic activity (which is not famously easy to predict).  It doesn't matter how much computing power you throw at the problem, a wild ass guess is still a wild ass guess.
    The fact that the models can back predict historical environmental behavior proves absolutely nothing since that was exactly the data used to generate the models in the first place.  You can buy any number of software packages that back predict stock prices beautifully.  Unfortunately this does not make them effective predictors of future.
    In my view we shouldn't be addressing global warming because the models are scary. We should address global warming because we don't know what the hell is going to happen, which is really scary. If you are driving blindfolded, taking your foot off the gas is a pretty good idea.
     
  7. trickytank Posted 10:55 pm
    14 Jun 2007

    ChaosThat's correct! Chaos does not imply that we can't make any general predictions.
  8. warreno Posted 2:32 am
    07 Jul 2007

    You can betIf you think you have a better grasp of where the climate is going than the consensus, you should be able to find good investments to make money on.  If you think hurricane risk is overrated, buy insurance stock, since the consensus will be driving down the price, and the companies may well be overcharging for a lesser risk. Florida has  a hurricane catastrophe bond, a bit over-priced in my book, but could be under-priced in your view. If you think global warming has its good points, invest in port expansions in Murmansk. Maybe there's some cheap, attractive sea-level island just waiting for a sharp investor.

    My suggestion is that you could start up a mutual fund similar to VICEX (find a catchy name) which is based on AGW being wrong is some way.  To be creditable though, you will need a climate scientist who thinks they can make money on such a venture, which is a very tall order.   For those ready to buck consensus, who know what they're doing, there's money to be made.

    On the other hand, many hurricane projects are readily supported by private capital, and it seems likely that climate change research is getting there.

    Wrong headed

    The single best model approach is just wrong headed. First off, this is just too  important to rely on one model, and not have consistency checks. Hurricane prediction very successfully uses several models.  Over the years each model had various strengths, and these could be used in other models contributing to improvement.  When a model disagrees now, forecasters have a better sense of how and why, and can make adjustments.
  9. brasidas Posted 3:31 pm
    10 Jan 2008

    Average or Mean?Interesting that the author hand waves chaotic dynamics away as unimportant and then claims the average is taken when the mean value is more important to prediction of repetitious pattern behavior.
    Regardless, the author's assertion does not measure up to the observed behavior. Weather is chaotic, and where recurring patterns continue, the parameters observed in a time frame that appear stable are in what's known as a subcritical region. Those parameters that are observed in a time frame with wildly varying and unpredictable results tend to be within a supercritical region, which can be the result of variable perturbations of the system under observation.
  10. clarinetmeister Posted 6:21 am
    26 Apr 2008

    Chaotic systemsTo get the picture of predicting chaotic systems on different scales, imagine a candle that emits smoke.  The behavior of individual smoke particles is indeed part of a chaotic system, BUT it can be easily understood that a slight wind will deviate the stream of smoke in one general direction.
    Likewise, while anthropogenic carbon emissions will undoubtedly cause the world to warm up, the very nature of Earth's climate makes predicting the weather on any given day several years from now impossible.
  11. sciencegeek Posted 8:37 am
    08 Jul 2008

    Heisenberg and chaosAll physical systems obey the laws of quantum mechanics.  One of those laws, the Heisenberg Uncertainty Principle, states that it is impossible to know, even in principle, the exact speed and location of a particle.  The minimum uncertainty is really really tiny, but has a big effect on small things.
    A chaotic system is one that obeys exact laws, but is highly sensitive to initial conditions.  Since Heisenberg says that exact specification of initial conditions is impossible, no chaotic system is 100% predictable.
    Another law of quantum mechanics says that all movement is essentially random and is predictable only in terms of probability.  Predicting the behavior of an individual particle is pretty much impossible.  But when bazillions of them get together, you can use probability to predict the average behavior to amazing precision.
  12. sciencegeek Posted 8:43 am
    08 Jul 2008

    quantum weatherTo continue the previous post, trying to predict the pattern of a bunch of particles at any given moment is a pipe dream.  But if you look at those particles over a long period of time, the average behavior is quite predictable.
    Weather and climate are similar.  Trying to figure out where all the clouds will be on Feb. 23rd, 2009 is nuts.  However, predicting the average temperature for the whole month of February in a given location will not be off by very much, even though weather is chaotic.
  13. Al Tekhasski Posted 3:01 pm
    05 Aug 2008

    if you look at those particles over a long periodExcellent point! If you DO NOT look long enough at the smoke from a candle, it will surprise you. So, the real question is: for how long do you need to "look" at the smoke, or better, make measurements of its position, distribution, density, and temperature (remember, we are talking about a model with about 1% accuracy, about 3K over 288K)? An obvious answer is that you need to look at it until the smoke passes through most of its statistically possible shapes. Therefore, for the problem at hand, climate change, you need to "look" at it at least for a couple of glaciations and deglaciations, and have all measurements (including historical data about cloud cover with 1% accuracy). When you will have all these data handy, then we can talk about fitting them into a model of average weather, and predict averages for the next turn of global climate change. Until then, sorry.

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Series Intro
'There is no evidence' -- Yes, there is 59
'Mauna Loa is a volcano' -- CO2 rise is measured on top of a volcano! 8
'Warming is due to the Urban Heat Island effect' -- No, it isn't 25
'One hundred years is not enough'--Yes it is 18
'The scientists aren't even sure' -- No scientist ever is 33
'One record year is not global warming'--Luckily, there are plenty more years to consider 19
'Glaciers have always grown and receded'--A few glaciers melting does not mean global warming 14
'The temperature record is unreliable'--But temperature trends are clear and widely corroborated 8
'It's cold today in Wagga Wagga'--Weather and climate are different 2
'The satellites show cooling'--No, they don't 15
'What about mid-century cooling?'--No one said CO2 is the only climate influence 11
'Antarctic ice is growing'--Well, probably not, but even if it were, we are not off the hook 8
'Global warming stopped in 1998'--Only if you flagrantly cherry pick 170
'But the glaciers are not melting'--Except ... they are! 3
'Antarctic sea ice is increasing'--Yes, but ... 14
'Sea level in the Arctic is falling'--Sea level is a surprisingly complicated thing 11
'Climate sensitivity is not very high'--Thermal inertia of the oceans means the jury is still out 2
'Some sites show cooling'--But you can't draw global conclusions from individual sites 0
'Global warming is a hoax'--I wish James Inhofe were just a hoax ... 12
'There is no consensus'--If this is not consensus, what would consensus look like? 109
'Position statements hide debate'--True enough, but that is not the whole picture 5
'Consensus is collusion'--Is climate science maturing, or should we reach for our tinfoil hats? 8
'Peiser refuted Oreskes'--In a poor piece of work that has been retracted by its author 4
'Models don't account for clouds'--Clouds are complex and uncertain, but unlikely to stop warming 6
'Climate models are unproven'--Actually, GCM's have many confirmed successes under their belts 13
'Aerosols should mean more warming in the south'--More North. Hemisphere warming is well-understood 1
'We can't even predict the weather next week'--But weather is not climate 11
'Chaotic systems are not predictable'--Sure, but who says climate is chaotic? 13
Understanding what is happening right under our noses does not require paleoclimate perfection 1
'They predicted global cooling in the 70s'--But that didn't even remotely resemble today's consensus 29
'Hansen has been wrong before'--Maybe, but not about the climate! 13
'It was warmer during the Holocene Climatic Optimum'--This period was not global and not like today 4
'The Medieval Warm Period was just as warm as today'--Repeating this point does not make it true 216
'Greenland used to be green'--Don't judge a book by its cover, much less a land by its name 23
Yes, the last ice age started thawing over 20,000 years ago, but that stopped a long time ago 5
'The hockey stick is broken'--Well, no ... but who's playing hockey anyway? 6
'Vineland was full of grapes'--Or was it an early advertising campaign? 4
'Global warming is part of a natural cycle'--This idea is one short step above appealing to magic 39
'Mars and Pluto are warming too'--No they aren't -- and what if they were? 24
'Volcanoes emit more CO2 than humans'--Not even close ... 31
'The null hypothesis says warming is natural'--An inappropriate test, and one that would fail anyway 4
'Climate is always changing'--That doesn't mean it isn't different today 5
'Natural emissions dwarf human emissions'--But emissions are only one side of the equation 5
'The CO2 rise is natural'--No skeptical argument has been more definitively disproven 12
'We are just recovering from the LIA'--Why should we expect this to happen? 4
'Climate scientists dodge the subject of water vapor'--No, they really don't 4
Water vapor is indeed a powerful greenhouse gas, but there is plenty of room for CO2 to play a role 29
There is no proof in science, but there are mountains of evidence 78
'CO2 doesn't lead, it lags'--Turns out CO2 rise is both a cause and an effect of warming 43
'Geological history does not support CO2's importance'--Just not true 0
'Historically, CO2 never caused temperature change'--Not so 19
'It's the sun, stupid'--Very bright, yes, but not getting brighter 18
The problem is not how high the temperature may go, but how fast it is changing 14
'Kyoto is a big effort for almost nothing'--Kyoto is only in its first phase 16
China and India have joined Kyoto, they just have different obligations, as is morally appropriate 3
'Climate change mitigation would lead to disaster'--Not really, but this may be lesser of two evils 6
Only if you ignore fossil fuel emissions 10
In 2008, did temperatures drop as much as they rose over the whole 20th century? 71
Is the IPCC so wrong their theories contradict a basic laws of physics? 23
Is the American Physical Society a crack in the climate change consensus? 3
Summer ice in the Arctic has recovered--Was the Arctic ice retreat a climate anomaly? 7
'Global warming comes from within'--Is heat at the Earth's core the real cause of global warming? 10
Was there another breathless announcement of another phony record, and another quiet retraction? 1
Hansen wants the skeptics thrown in jail--Did James Hansen really want to try the climate skeptics? 6
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