Re: virus: Hyperbolic growth

Sean Morgan (sean@lucifer.com)
Sat, 18 Nov 1995 09:13:36 -0700


At one time I did a curve fit to the data below, and a hyperbola did fit the
data better than an exponential. I didn't keep my result, but as I recall
it was quite a bit earlier than Dani thought: the singularity will take
place sometime in the afternoon of August 12, 2017 (plus or minus 1.8 years :-).

Please note the smiley.

>>>is simple projection from human population trends. Human population
>>>over the past 10,000 years has been following a hyperbolic growth trend.
>>
>>This does not jive with my information, which is that human population
>>increases 2-3% per year, an exponential, not hyperbolic growth pattern.
>
>My sources are (1) World Almanac and Book of Facts, 1992 edition and
>(2) Statistical Abstract of the United States, 1988 edition. I can't
>plot a graph in ASCII, but here's the data:
>
>Year Population Inverse Change in Growth Rate
>(A.D.) (Billions) (1/Billions) Inverse/year (%/year)
>
>1 0.200 5.000
> -0.0019 0.06
>1650 0.550 1.818
> -0.0044 0.28
>1750 0.725 1.379
> -0.0053 0.48
>1850 1.175 0.851
> -0.0045 0.62
>1900 1.600 0.625
> -0.0042 0.75
>1930 2.000 0.500
> -0.0055 1.25
>1950 2.565 0.390
> -0.0056 1.87
>1980 4.477 0.223
> -0.0036 1.77
>1990 5.333 0.187
>
>As can be seen by inspection of the fourth and fifth columns, the
>data since 1650 is much closer to a hyperbolic than an exponential.

Quoted from <ftp://nanotech.rutgers.edu/nanotech/archives/singularity>

If you're interested in the concept of a historical/technological
singularity, take a look at
<http://www.nada.kth.se/~nv91-asa/Trans/sing_page.html>

Sean Morgan (sean@lucifer.com)