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PREDICTIONS – 10 Years Later - Santa Fe Institute

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9. REACHING THE CEILING EVERYWHERE<br />

like automobile populations and highway construction, are slowing<br />

down reaching a ceiling. The group at IIASA (Marchetti, Nakicenovic,<br />

and Grubler) has indulged in fitting logistic functions on growth processes<br />

by the hundreds for over a decade. The cases span the last three<br />

hundred years and predominately concern the construction of infrastructures<br />

and the substitution and diffusion of technologies. When Debecker<br />

and I came across Grubler’s book The Rise and Fall of Infrastructures,<br />

which contains many of the IIASA results, we decided to produce one<br />

drawing on which all these curves were superimposed. The original fits<br />

had been reported as straight lines on logistic scales. We transformed<br />

them back into S-shapes. In Figure 9.2, we included some of the curves<br />

which we had determined ourselves concerning computer innovation,<br />

subway inaugurations, and airways.<br />

There are more than fifty growth processes shown, each with its ceiling<br />

normalized to <strong>10</strong>0 percent. In the table below, The Timing of<br />

Technological Growth Curves, the name of each technology is listed in<br />

chronological order along a line at 50 percent. As we expected, the<br />

curves coalesced into clusters, merging together as they approach the<br />

ceiling that indicates saturation. The left-most three curves, in the late<br />

eighteenth and early nineteenth centuries, represent canal construction.<br />

The next group includes primarily diffusion of steamships and railway<br />

networks; the fast-rising ones to their right are automobile substitutions<br />

for horses. In the twentieth-century cluster at the far right, road<br />

construction and replacement of steam locomotives are seen to grow<br />

slowly, followed by automobile populations, which grow more quickly.<br />

Among the recent curves are some that describe innovation in the computer<br />

industry.<br />

We then compared these natural-growth curves to the fifty-six-year<br />

cycle of energy consumption, which coincides with the economic cycle.<br />

We observed a remarkable correlation between the time these growth<br />

curves approach their ceiling and the valleys of the economic cycle. It<br />

thus becomes evident that boom or prosperity, which occurs during a<br />

peak of the cycle, coincides with technological growth while recession<br />

coincides with the saturation of these technologies. The industries built<br />

around these technologies follow the same curves and also saturate at<br />

the same time.<br />

203

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