Monday, January 03, 2011

Watched Albert Bartlett's video about exponential growth.

Here's what it is in simple terms:
Let's say you have 1 million dollars.
You put it into investment which earns you 7% extra every year.
How much money will you have after 10 years?

The answer is 1 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07 x 1.07, which is just a little under 2 million.
Yes, at 7% a year you can double your money in 10 years.
The same growth applies for resource consumption.


Since the video tells us to do the math and not take figures for granted, I went to try on my calculation on compound interest and this was the result:



Which allows me to conclude several things:

1. If we interpret the graph as resource depletion, it would be a representation of how long the human race to continue existing and stay in the game, given the rate of growth he is pursuing. Of course the only way to stay in the game forever with a constant growth would be a rate of 0 growth. Otherwise, we will need to match growth with recessions in order to have a net 0 growth.

2. If a stable civilization would require lifestyles to remain consistent over at least 1 lifespan (70 years) to ensure continuity, we're looking at something much smaller than 1% growth.

3. If it takes 1000 years for resources to be replenished, we can deplete up to half of all available resources at a growth rate of 0.069%, after which we will need to have another 1000 years of decline at the same rate.

4. Interest on savings is somewhere between 2% to 4%, which means it takes 17 to 35 years to double. If interest is nearer the 2% end and inflation is nearer the 4% end, prices would have overtaken you in the 17th year of your 35 year savings plan.

5. If we have growth rates over 2.3%, resource consumption doubles twice in each generation, which would probably make tradition unnecessary since situations would have changed beyond recognition. Every generation would have to invent its own lifestyle, since what took the father one lifetime (70 years) to master, would take the grandson just his first 17.5 years to master - which is by current standards, high-school.

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