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Years Between GWP Growth >25% and AGI

Question

AGI is often defined as the ability of an intelligent agent to understand or learn intellectual tasks at a human level. A more concrete way to classify AI systems is in terms of their potential impact on the world economy.

Following is a definition of Transformative AI by Ajeya Cotra in her Draft report on AI Timelines:

“Transformative artificial intelligence” (Transformative AI or TAI) is defined as “software” (i.e. a computer program or collection of computer programs) that has at least as profound an impact on the world’s trajectory as the Industrial Revolution did.

How large is an impact “as profound as the Industrial Revolution”? Roughly speaking, over the course of the Industrial Revolution, the rate of growth in gross world product (GWP) went from about ~0.1% per year before 1700 to ~1% per year after 1850, a tenfold acceleration. By analogy, I think of “transformative AI” as software which causes a tenfold acceleration in the rate of growth of the world economy (assuming that it is used everywhere that it would be economically profitable to use it).

Currently, the world economy is growing at ~2-3% per year, so TAI must bring the growth rate to 20%-30% per year if used everywhere it would be profitable to use. This means that if TAI is developed in year Y, the entire world economy would more than double by year Y + 4.

How many years before (or after) AGI is developed, will the world real GDP be 25% higher than every previous year for the first time?

Criteria for AGI is same as this Metaculus question.

Let world real GDP be 25% higher than all prior years for the first time in year X. If X is 10 years before AGI is developed, the question resolves as +10. If X is 10 years after AGI is developed, the question resolves as -10.

If neither AGI is developed nor world real GDP becomes 25% higher than all prior years within resolve date, then the question resolves as ambiguous.

Here are world real GDP growth rates since 1961. Here is an estimation of growth rates on a longer timescale.

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