On 2/26/12, Ken Caldeira <[email protected]> wrote:
> It is an impossible task to estimate GDP in year 12 in current dollar
> terms, but it would nevertheless be interesting to try to estimate economic
> growth rates on the millennial time scale. This might provide an effective
> long-term discount rate that both environmentalists and economists could
> live with.


A longtime silent reader on your conversations, but I thought I would
pop in here. (George Morrison... BMO Nesbitt Burns, Toronto, ON)

There have, in fact, been efforts made to "estimate economic growth
rates on the millenial time scale." The most notable is probably Angus
Maddison's "The World Economy: A Millennial Perspective". (Despite the
description on Amazon, it does extend backwards to roughly 0 A.D.)
http://amzn.to/A6RggM

Here is an excerpt from a good write-up of this work. (Apologies for
poor formatting, and inability to show the graphs. I have an outdated
browser on this work P.C.)

http://www.efficientfrontier.com/ef/404/CH1.HTM

... The portrait that Maddison and others painted was as stunning as
it was unexpected. The lot of the average individual, measured as real
per capita GDP, did not change at all during the first millennium
after the birth of Christ. Over the next 500 years, between A.D. 1000
and 1500, things did not get much better. Figure 1–4, which plots
Maddison’s estimates of world per capita GDP since the year A.D. 1,
brings the welfare of the average person into sharp focus. Before
1820, there had been only minuscule material progress from decade to
decade and century to century. After 1820, the world steadily became a
more prosperous place.

The data are "noisy" enough that identifying 1820 as the annus
mirabilis of world economic growth is more than a little arbitrary.
The British data, as we shall see, put the ignition of growth a bit
later; the American data, a bit earlier. Whatever date is chosen,
however, it is clear that sometime in the first half of the nineteenth
century, growth of the global economy took off, bringing prosperity
despite the repeated devastation of war, civil strife, and revolution.

Figure 1–5, which summarizes the average annual growth in worldwide
real per capita GDP, displays the breakout that occurred about 1820
from a different viewpoint. Once again, prior to 1820, there was
little improvement in the material welfare of the average person. This
picture is contrary to that commonly taught in the nation’s humanities
departments. From the perspective of the Romance language expert or
the art historian, the Renaissance appears to be the pivotal point of
the second millennium. The great writers and artists of that period,
however, did little to improve nutrition, to augment transport, or to
prevent plague. In an age when the average person never ventured more
than a few miles from the place of his birth, the Sistine Chapel
frescoes could do little to uplift the collective human spirit.

Economists have found it easy to criticize Maddison’s estimates of
income and production in centuries long past. After all, how can he be
certain that the annual per capita GDP of Japan at the birth of Christ
was $400 in current dollars, rather than $200 or $800? Maddison
himself concedes the point: "To go back earlier involves use of weaker
evidence, greater reliance on clues and conjecture."13

The modern era presents a more basic problem. Even the most accurate
economic data cannot measure the real value of new inventions. How
much would J. P. Morgan have paid for even a cheap seat on a jumbo jet
from Kennedy Airport to Heathrow? What value would Shakespeare have
placed on the ability to churn out five thousand words a day on a
Macintosh and then e-mail them to a few dozen friends? Even the
poorest citizens in the developed West have access to goods and
services, such as reliable automobiles, television, and the Internet,
that were unavailable at any price a century ago. While many modern
goods and services are of dubious value, others are not. As late as
1940, pneumonia and meningitis, which today can be prevented with a
few dollars’ worth of antibiotics, struck down those at the pinnacle
of wealth and power almost as frequently as they felled the poor. In a
different vein, try to imagine what the great engineers and physicists
of the early twentieth century could have managed with a personal
computer.

How do economic historians measure the GDP of ancient Rome or of the
Carolingian Empire? After all, millennia ago there was no Commerce
Department and no Bureau of Economic Analysis. Not until the
seventeenth century did early demographers like John Graunt and Caspar
Naumann begin tabulating actuarial data, and not until two centuries
later did economists begin to collect the first accurate aggregate
financial data for individual countries.

If you want to measure economic progress over the centuries, you first
must ask, How much money is necessary to sustain a subsistence level
of existence? Maddison estimated that in an underdeveloped nation in
1990, about $400 per year was required. Next, economic historians use
whatever data they can find to determine what percentage of a
population existed at this level. A society in which nearly 100% of
the population is engaged in farming and that does not export any
substantial amount of its agricultural products lives, by definition,
very close to the $400 per year subsistence level. It is highly
arbitrary to assign the same $400 per capita GDP, as Maddison did, to
Europe at the beginning of the first century A.D., to China in 1950,
or to modern-day Burkina Faso, but doing so at least provides economic
historians with a benchmark against which to measure economic growth.

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