Curves

The Earth is almost impossible to understand with simple algebra.  Most of the universe defies simple substitution and modeling.  Once the reality gets to be too much, it all turns into estimation and general models that are at once so infuriatingly complex that no one can understand them, and so outrageously scientific looking that people buy exactly what they say.

Most natural cycles follow a magnitude frequency curve.  This is a curve where data points are used to plot on a logarithmic scale the probability of magnitudes.  Every stream has a flood magnitude-frequency curve.  Every seismic area has an earthquake mag-freq curve.  Every time you decide to punch someone, every one of your muscle fibers responds somewhere inside the plot of the mag-freq curve.

The problem with the idea of these curves is that they give a common enough sounding phrase enormously complex ramifications.  Take for instance a hundred-year flood.  If you live and die along a river, especially a batshit frenetic river like the Colorado, you have heard the phrase.  Hundred year flood, fifty year flood, five year flood, these are the terms you pick up and use over the Sunday morning coffee at the Raintree Diner.  And usually every one uses it wrong.

A hundred-year flood has a .01 probability of occurring every year.  That means that a hundred year flood is not something to count on.  And given that water metering along the Colorado has not been reliably practiced for more than one hundred years, the front-side error is fairly high.

Which means:

It means nothing.

“So, geologist, when is the next hundred year flood coming?”

The subtext to the question is, “What magic can science perform for us today?”

While you can predict intervals, you cannot predict frequency.  When you first meet someone and their eyes shoot some sort of loin shaking laser beam into your soul, you have no idea what the magnitude of this natural occurrence will be, you only know that the water is rising.

When you live in California, you feel the wrenching away of the Pacific plate from North America and when you catch the first rumble and the first sound of breaking glass reaches you, you say silently to yourself, “Is this the big one?”

There is no way to know.  The Richter scale has been more or less abandoned.  The actual magnitude of earthquakes adopted the handy and impressive sounding log scale.  A magnitude 9.0 will knock a city on its ass.  But a mag 7 won’t do too much in a city like Tokyo that is engineered to take the occasional shake.

When you meet that person, and after the rumbling ramps two or three times, you begin to wonder more loudly inside the seismology department of your head if this is the big one.  The one that surpasses your preparations.

But the magnitude-frequency is only telling you it will happen.  Never what any of it means.

9 Responses to “Curves”

  1. But would you want it any other way? To know what it means, and have it scientifically predictable? There is much that I am glad not to know.

  2. Hell no. I want it kept a mystery. I can’t think of any time in my life where knowing exactly what was coming my way was a good feeling.

    By the way, when you typed “…the mind defies logic…”, I misread it as the mind deifies logic.

    I plan on stealing the term I mistakenly thought you wrote.

  3. I can’t find the comment where I wrote that phrase.

  4. As I’ve written elsewhere, this kind of misunderstanding of the way probability works is why some people have trouble with the concepts behind the mechanisms of evolution and gambling. If you’ve ever thought something like “the odds of me winning the jackpot are a million to one, but my go might be the ONE” then you should probably never get in a car, where the odds of you dying horribly in a blood & glass carnage are much greater. Most gamblers can’t see the equation. And that’s simple probability. In complex systems, like the movement of the Earth’s crust and the weather, you don’t have an icecube’s chance in hell of making accurate forecasts past a certain point. As I know you know.

    Which is all to say that no matter which way you poke it, we’ll always be under the thrall of mystery. We have no choice!

  5. Cléa: It’s not a comment, it’s from your blog. The statement you did not make has been sitting on my mind.

    Anaglyph: There’s always the “bury your head in the sand” method.

    It’s scary that, even though it is pretty much the bedrock to modern science, so few people have a basic understanding of probability. The lawyers who defend or convict people using DNA evidence don’t know the underpinning of the science. The sign waving activists don’t know how to interpret error inside climatological models. The gamblers keep pulling the handle.

    Maybe we should be the ones burying our head in the sand.

  6. >>Maybe we should be the ones burying our head in the sand.

    Haha. Yes indeedy. I’ll go by a lottery ticket with that thought in mind…

  7. And then you are perplexed at the ever varying estimates of the same quake! Take the recent quake in Hokkaido(Sept 10 2008): First the magnitude was 7.2, came down to 7, then to 6.9, stood there for some time and then tumbled to 6.8 and thats where the data is recorded right now(USGS). The Chinese authorities, however, pegged it at 7.1 MM. Similar has been the story with the 12 May 2008 Sichuan quake! From 7.9 to 8.4 to 8.0 to 8.1 to 7.9:
    2008,05,12,062801.57, 31.00, 103.32,7.9, 19
    (now USGS)… Is not the truth unambiguous? Probably!

  8. Anaglyph: Pick one up for me, we’ll share the winnings.

    R. Ashok Kumar: I noticed that lately as well. It seems the only people really really sure of magnitude is the media reporting on the quake, and they still say “Richter Scale” once in a while. We have a small seismo club here in town and it’s amazing how often quakes that should probably be a pretty big deal are ignored, just because of variances within the dataset.

    I give up on earthquakes. I’m sticking to things I can predict. Like the lottery.

  9. Ah, I see now. Consider it a kind of gift. I dare not say an inspiration.

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