Continuous geometric growth in a finite biosphere is impossible
Geometric extrapolation is even worse. It is probably the most commonly practiced form of utter insanity. For how long have we known this is crazy? The Sumerians taught us about the S-curve at least 4000 years ago. The S-curve is based on the historical experience of producing things--whether corn or iPhones.
Michael Hudson on the humans who knew better
Hudson says that – in every country and throughout history – debt always grows exponentially, while the economy always grows as an S-curve.
Moreover, Hudson says that the ancient Sumerians and Babylonians knew that debts had to be periodically forgiven, because the amount of debts will always surpass the size of the real economy.For example, Hudson noted in 2004:
Mesopotamian economic thought c. 2000 BC rested on a more realistic mathematical foundation than does today’s orthodoxy. At least the Babylonians appear to have recognized that over time the debt overhead became more and more intrusive as it tended to exceed the ability to pay, culminating in a concentration of property ownership in the hands of creditors.
Babylonians recognized that while debts grew exponentially, the rest of the economy (what today is called the “real” economy) grows less rapidly. Today’s economists have not come to terms with this problem with such clarity. Instead of a conceptual view that calls for a strong ruler or state to maintain equity and to restore economic balance when it is disturbed, today’s general equilibrium models reflect the play of supply and demand in debt-free economies that do not tend to polarize or to generate other structural problems.And Hudson wrote last year:
Every economist who has looked at the mathematics of compound interest has pointed out that in the end, debts cannot be paid. Every rate of interest can be viewed in terms of the time that it takes for a debt to double. At 5%, a debt doubles in 14½ years; at 7 percent, in 10 years; at 10 percent, in 7 years. As early as 2000 BC in Babylonia, scribal accountants were trained to calculate how loans principal doubled in five years at the then-current equivalent of 20% annually (1/60th per month for 60 months). “How long does it take a debt to multiply 64 times?” a student exercise asked. The answer is, 30 years – 6 doubling times.
No economy ever has been able to keep on doubling on a steady basis. Debts grow by purely mathematical principles, but “real” economies taper off in S-curves. This too was known in Babylonia, whose economic models calculated the growth of herds, which normally taper off. A major reason why national economic growth slows in today’s economies is that more and more income must be paid to carry the debt burden that mounts up. By leaving less revenue available for direct investment in capital formation and to fuel rising living standards, interest payments end up plunging economies into recession. For the past century or so, it usually has taken 18 years for the typical real estate cycle to run its course. more
At this link, you can find 23 different charts showing historic geometric growth of human activity--which is why all of them are destined to crash in the very near future.
The human economic growth story is incredible. Population increased exponentially, as did global wealth, factory output and other measures of development.
But the flip side is the steady exhaustion of resources and destruction of the environment. As growth continues, planetary tensions will increase too. This is why we're running into peak everything.