...because we already beat that horse to death...
and the difference in growth rate to be indescernible "by simple inspection", which it is. You'd need a graph with growth rate (not output) on the y-axis to discern that "by simple inspection".
But I didn't
claim the growth
rate rose. I claimed the increase in per capita production is accelerating. Your insistence on talking about growth
rates -- i.e. your insistence on choosing an exponential function as the benchmark for judging whether productivity is being enhanced or retarded -- has still not been justified.
Exactly which part of "$500 per capita per year from 1947 to 1979. $657 per capita per year from 1979 to 2009." don't you understand?
What exactly it quantifies. First, yer data is GDP per capita so we don't know whether, or which, changes in the dollar quantities are due to changes in GDP or capita.
Both. Population rose, and production rose faster.
Then, your wording suggests averaged absolute annual output increases (albeit per capita) over each of the two periods.
Sounds like you do understand exactly what it quantifies. (And I wouldn't have thought my wording "suggests" that; I thought I said it flat out.) So why the heck were you insulting my intelligence with "If you ease off the accelerator in your car, it keeps going forward at a slower pace." The economic accelerator is being pressed harder and the per capita production keeps going at a faster pace. You know what acceleration is, don't you? It's the second derivative of position. Do
you know how to calculate a second derivative?
Even if the growth rate were constant, average absolute increase over any later period will be greater simply because of the higher starting point. What you need is to compare the respective annual average % increases
No, that's what
you need me to do, in order for you to get away with calling a rise a fall. Why on earth would
I need to go along with your arbitrary requirement that growth be exponential in order to count as rising?
...in fact all you need have done was scroll down the page you linked to and click on "US Real GDP Growth Rate" to reveal a graph with growth rate on the y-axis, where you can discern "by simple inspection" that growth rates have certainly not accelerated as you claim.

Now you are just putting words in my mouth. Have you even listened to a bloody thing I've said? I have explicitly NOT claimed "growth rates" have accelerated; what I have done is spend multiple rounds with you challenging your premise that "growth rates" are the proper way to measure productivity increase. "Growth rate" is just another way to say "I'm comparing with an exponential".
Growth has accelerated, subexponentially.
Because you keep describing a rise as a fall. See above.
Because growth rates have fallen. See above.
That is not a good reason. The word "fall" does not mean "subexponential rise". Check a dictionary if you don't believe me, and then make a note of it.
Nothing to do with anyone's preferences. Nor does the reason for comparing rates have anything to with exponential growth.
It has
everything to do with exponential growth. Production levels, like prices, are noisy fractals. To summarize what they do over an extended period with a single number is to approximate them
Yes
by discarding most of the information
No
No? How many bits do you think it takes to record a noisy fractal? How many bits do you think it takes to record an average growth rate?
and curve-fitting them to a math formula with one adjustable coefficient. When that single number is a "growth rate" instead of some other parameter, that's just another way to say "the math formula we chose to curve-fit them to was an exponential function". That's what the phrase "growth rate" means.
Which just means comparing growth rates is a somewhat inexact business; nothing to do with anyone's "arbitrary choice of a preferred measurement function".
Everything to do with an arbitrary choice of a preferred measurement function. For instance, if you curve-fit that same fractal to a parabola instead of to an exponential, you don't get a growth rate at all -- you get a second derivative -- an
acceleration. A parabola curves up but an exponential curves up faster. Why should the exponential rather than the parabola get to define whether growth is rising? Other than that you
prefer it because you
prefer putting that spin on the numbers.