For example, take an overall look at the US economy, considering the number of researchers and productivity growth. You find that the number of researchers grows by multiples, but productivity growth rises and falls by small amounts. The inference is that it's taking a lot more researchers just to keep productivity growth at the same level.
For a specific example, consider Moore's law, the notion that the density of semiconductors on a computer chip will double every two years or so. Moore's law turned 50 a few years ago, and as I noted at the time, it's been getting more and more expensive and difficult to keep doubling the density of chips. As Bloom, Jones, van Reenen and Webb write: "In particular, the number of researchers required to double chip density today is more than 18 times larger than the number required in the early 1970s. At least as far as semiconductors are concerned, ideas are getting harder to find. Research productivity in this case is declining sharply, at a rate of 7 percent per year."
Or how about agricultural crop yields? The green lines show the number of researchers, rising; the blue line shows agricultural productivity growth, falling.
Or how about inventions of new drugs? The authors write:
New molecular entities (NMEs) are novel compounds that form the basis of new drugs. Historically, the number of NMEs approved by the Food and Drug Administration each year shows little or no trend, while the number of dollars spent on pharmaceutical research has grown dramatically ... We reexamine this fact ... The result is that research effort rises by a factor of 9, while research productivity falls by a factor of 11 by 2007 before rising in recent years so that the overall decline by 2014 is a factor of 5.Or how about reductions in cancer? Yes, death rates for cancer are falling, but research into fighting cancer has been rising quite rapidly. As a result, it seems to be taking more and more research publications about cancer and more and more clinical trials to reduce cancer deaths by an equivalent amount.
Based on these and other examples, the authors write: "[J]ust to sustain constant growth in GDP per person, the United States must double the amount of research effort every 13 years to offset the increased difficulty of finding new ideas."
In the fashion of honest academics, the authors note in a number of places and in a number of ways that examples like these don't prove conclusively that it's becoming more costly to find ideas and harder for research to boost productivity. For example:
- Perhaps the measured growth of GDP doesn't capture many of the gains that are happening, like free or zero-marginal-cost access to so many goods and services over the internet.
- Perhaps there are other examples measures of the gains from research would be rising, not falling.
- Perhaps Moore's law is a bad example, because it involves running into physical limits, and thus isn't representative of other research efforts.
- Perhaps we are doing fine at discovering new ideas, but our economy is doing a poor job of turning these ideas into commercial products and at diffusing the ideas and products across a wide spectrum of industries and companies.
- Perhaps the shift away from "basic research" funded by governments and toward applied research largely funded by companies has reduced the number of big new ideas.
- Perhaps more firms are using intellectual property as a defensive technique for warding off competition rather than as a method of moving forward with productivity gains.
- Overall US R&D spending has been pretty flat for several decades at about 2.5% of GDP, and maybe that's the measure of "research" on which we should be focusing.
- Perhaps there is some technology threshold for technologies like artificial intelligence, such that once that threshold is reached, very large productivity gains will then be possible, but we just haven't hit the threshold yet.
You can probably add some possibilities to this list. But the weight of the argument from Bloom, Jones, van Reenen and Webb is that if we want technology and new ideas to ride to our rescue in a variety of areas--productivity growth, reducing pollution, improving health care and education, and many others--we need to step up our efforts considerably.