The Natural Growth of Cities
Mathematician Steve Strogatz (who was a mentor of Duncan Watts) has an excellent guest column column up at the Olivia Judson blog about the math of cities. In it he outlines some recent (and not-so-recent) discoveries in how cities scale and develop fairly consistently. As Strogatz waxes at the end:
These numerical coincidences seem to be telling us something profound. It appears that Aristotle’s metaphor of a city as a living thing is more than merely poetic. There may be deep laws of collective organization at work here, the same laws for aggregates of people and cells.
It was also interesting to compare the following quote with something Paul Krugman wrote about Hong Kong last week. First Strogatz, “Keep in mind that this pattern emerged on its own. No city planner imposed it, and no citizens conspired to make it happen. Something is enforcing this invisible law, but we’re still in the dark about what that something might be.” Now Krugman:
Hong Kong, with its incredible cluster of tall buildings stacked up the slope of a mountain, is the way the future was supposed to look. The future — the way I learned it from science-fiction movies — was supposed to be Manhattan squared: vertical, modernistic, art decoish.
What the future mainly ended up looking like instead was Atlanta — sprawl, sprawl, and even more sprawl, a landscape of boxy malls and McMansions. Bo-ring.
The future is never as “pretty” as we would imagine it and when we try to impose that false image what we’re often left with is something that may look fine for a year, or even five, but won’t age much past that. Kind of interesting to think that part of the reason is that there is something organic and natural happening as cities sprout and when we impose false barriers we’re somehow standing in the way. With that said, there are laws in ever major city in the world, so who’s to say what’s “natural” and what’s not?
No real conclusion here, just some interesting stuff to think about (and a realization that I need to read some more from Strogatz). Oh, and the Hong Kong thing was especially interesting because I’m supposed to be going there in a few weeks, so if you have any tips on things to do/people to see while I’m there, please leave a comment or drop a line.

Hi, I'm 
Try and make time to meet Rob Campbell of Cynic. Great guy and terrific planner. I’ll mail you details. Hong Kong is fab. All of it.
Great read; thanks for sharing.
A generally tangential thought – the way Strogatz starts his article kinda baffles me, “unlike Olivia and the previous guest writers, I’m not a biologist, evolutionary or otherwise. In fact, I’m (gasp!) a mathematician.”
Why is strange for a mathematician to comment about science? And further, why is it that the various sciences silo themselves? Why does it continue to be an anomaly for different disciplines to team up on a proect and render a brilliant result?
I remember in High School and at NYU not understanding why there wasn’t more of an explicit effort to teach science (including math) and art at the same time. The connections are uncanny. Understanding how lenses on film cameras work requires a solid understanding of math and physics.
Strogatz’s disclaimer reminds me of this TED talk where, “Emily Oster re-examines the stats on AIDS in Africa from an economic perspective and reaches a stunning conclusion: Everything we know about the spread of HIV on the continent is wrong.”
Apparently economists and virologists don’t talk much.
Taking this another step, I think the reason for my concern above is similar to the Dark Data Wired talks about in this article both Noah and I referenced recently…
Hey Noah,
Check out: False Economies by Alan Beattle
http://www.amazon.com/False-Economy-Surprising-Economic-History/dp/1594488665/ref=sr_1_1?ie=UTF8&s=books&qid=1243458044&sr=8-1
Think you’ll enjoy it. Just finished the analysis on capital city development and the history of countries. Very interesting.
Cheers,
Seni
some figures, recent figures please.
I would like to know to what percentage does natural population growth contribute to the growth of cities as compared to rural urban migration and reclassification of rual to urban areas.
Thanks