We’ve just experienced two weeks of rain, drizzle, solid cloud,
and thunderstorms in Johannesburg, and it’s raining right now. I’m sure that this is not provoking any
sympathy from people enjoying winter in the UK or the US. But this is summer here! Johannesburg’s normal summer weather
involves rain – it’s our rainy season – but summer rain here means a thunderstorm rolls in late afternoon, gives us a good drench, and then rolls
out again and the sun comes out. Back to
the swimming pool. So a solid two weeks
of European winter weather – in March – is extraordinary. And that started me thinking about what I
actually meant by that statement.
In the first place, we had a patch of weather like this last
year – not as long or depressing, but the same sort of thing. That was in winter which is usually our dry
season here. Rather more to the point,
what sense does it make for me to talk about weather in Johannesburg being “unusual”
on the basis of the time I’ve lived here?
Sure, I’ve been here for forty years, but the planet has been around for
billions of years. So what I really mean
is that the weather has apparently changed from what has been normal over the last
short time period. Make that very short.
The recent climatic behavior has also provided a boost for
the climate change naysayers. “Global
warming? What nonsense!” we hear. “Why I remember…” Okay, so in the first place we’re back to the
last twenty years or so that they remember. In the second
place there’s a reason that climatologists want it called climate change and
not global warming. Yes, the carbon
dioxide increase will provide an overall increase in the earth’s temperature in
the long run, but the effect might be a change in the jet stream southwards. If that happens, northern Europe will enjoy
another ice age…as a result of global warming.
This sort of comment usually leads to understandable frustration and
disgusted cries of, “Well, can’t you people make up your minds and tell us
then? You claim to be the experts!”
Well, no. I believe that
the experts can’t tell us. One of my applied
mathematics colleagues at Wits University developed the idea of frame-based
models for ecological systems. The idea
was that in an ecological system, there are regions of stability. You have enough rainfall for the vegetation
so that the herbivores have enough food so that the predators have more or less
enough to eat and use behavioral constraints to control their population. Then something big happens – prolonged drought,
disease, whatever. The system changes
quite quickly to another situation and settles down there after a comparatively
short time. These relatively stable
situations are the frames. Between the frames anything goes.
In fact this is a local way of looking at the full behavior
of these types of systems. Highly
complex dynamical systems – like weather – have regions of stability and
regions of high instability. Moving a
little away from the stable region may take you somewhere completely
different. These types of systems
produce very beautiful pictures of how a point would move around under the
constraints of the system. And the
stable regions can look quite unstable in their way. These are sometimes called strange attractors and are at the heart of such chaotic dynamical systems.
So I think we’ve started moving between climate frames. And that means that right now anything goes. The weather may get hotter or cooler or wetter
or dryer, and that may change from year to year.
Could be an interesting ride.
Oh, by the way, these chaotic systems were discovered by a
scientist by the name of Edward Lorentz in the early sixties. He was
trying to do weather prediction at the time…
Michael – Thursday.
Is Jeff a 'strange attractor?'
ReplyDeleteAnd Michael, please do not send another ice age to Northern Europe. I'm still trying to de-ice my windscreen from yesterday's sub zero start!!
Did anybody else get the visual effect of the white whirling bits in the last picture moving about as they read the text. Or are my eyes just fixated on snowflakes...
Thanks, Michael, for a presentation that allowed Caro to bring a moment of clarity to my life: I am but a strange attractor in search of the perfect dynamical chaotic system to supplant my current regions of instability; yielding very beautiful photographs in the process.
ReplyDeleteWell, I have to admit that when I was looking for "Strange attractors" on Google images, I didn't find any pictures of Jeff. I did find a rather poignant one of butterflies trying to get value out of painted metal flowers. There were also several others which wouldn't be appropriate for a family blog!
ReplyDelete