ddoubleez
10-02-2008, 09:48 PM
Our greatest downfall of mankind may be the understanding of exponential growth... This is a very simple concept that, when applied properly, will yield the product of future growth..
Lets talk about a unit of time and steady growth...
You will see this applied directly to population, water consumption, energy consumption, and economic growth, which are all directly linked....
In my thread I would like to talk about a fixed growth rate and a fixed amount of time... You are already thinking that things do not grow at a fixed rate..... You are correct, kind of.... You can look at the economy for the past two decades and see fluctuations, however, to keep things simple you can say that the average growth for the past two decades is two percent... You can take that average and go to a case by case basis and see a little deviation, but the end product is a fixed growth of 2 percent.....
The above does not sound like much, and I would agree there too.... HOWEVER, if you look at doubling time at the rate of two percent things change.... To calculate doubling time, you take the two percent growth and multiply it into 70... This will give you the doubling time.... 70 divided by 2 will give you the doubling time of 35 years.....
This could help you understand that an economy that is growing at a modest rate of 2 percent will double in 35 years..... You could argue that that is not that much either... If I live to see the age of seventy, I would see this substandard growth double twice in my lifetime, correct? No...... True, at 35 I would have seen a doubling of the economy, but the next 35 years the economy size or GDP would quadruple in size relative to the economy you were born into.... If you lived to 105 you would see an economy that was the equal of 16 economies that I was born into....
If I lived to the age of 107 I would see the economic gains in those two years that is more than equal to the entire economy that I was born into.....
Lets switch gears..... If I were Chinese and I was born in 1994 I would be 14, so too young for you perverts! :-) And I would live in an economy that saw more than 10 percent growth every year of my life..... Lets divide 70 by 10 and get the doubling time of 7 years... This would mean that the economy I was born into was 25% the size of the economy that I am in now...... If I lived to be 28 in the year of 2022, my economy would grow to an ecomony that is 16 time the size that I was born into.....
Now lets us apply this to the growth rate of population.... If you took ANY species and give them an unlimited supply of basics, food water and energy they will grow in population at a nearly fixed rate.....
Now, lets take a beaker of bacteria and give it a cracker soaked in oj that would feed 50000 bacteria and the beaker would hold just a little more than this...... The gestation of a bacteria would be 1 minute for shits and grins, you can argue this and I am not a biologist, but the accuracy here is not important for the point..... We will say that midnight we had one bacteria.... 12:01 we would have two...
12:02 we would have four..
12:03 we would have 8....
12:04 we would have 16.....
12:05 we would have 32....
12:06 we would have 64....
12:05 we would have 128....
12:06 we would have 256....
12:07 we would have 512..
12:08 we would have 1024...
12:09 we would have 2048...
12:10 we would have 4096... Here the bacteria look around and see their success and understand they have room and food for 45000 more bacteria and rejoice..
12:11 we would have 8200..
12:12 we would ahve 16400....
12:15 we would have 33000 and the bacteria would look around and say we have lived 15 generations and only used half our food and space.... Some alarmists bacteria, however look around and launch a space ship and colonize 19 other beakers dividing the population into the population they had 5 minutes ago...
All 20 beakers would have a population 1650....
12:16 we would have a population of 3300...
12:17 we would have 6600....
12:18 we would have 13200..
12:19 we would have 26400...
and at 12:20 we have 1,040,000 starved and dead bacteria...
At 12:15 the bacteria escaped extintion by finding TWENTY TIMES THE RESOURCES they had and it bought them 4 more minutes, or an increase 1/5 of their entire time by increasing their habitate by TWENTY TIMES......
If we applied the above to fuel consumption and realize we have used half the reserve, what time would it be if we were on the time line above....
MORE TO COME!
Lets talk about a unit of time and steady growth...
You will see this applied directly to population, water consumption, energy consumption, and economic growth, which are all directly linked....
In my thread I would like to talk about a fixed growth rate and a fixed amount of time... You are already thinking that things do not grow at a fixed rate..... You are correct, kind of.... You can look at the economy for the past two decades and see fluctuations, however, to keep things simple you can say that the average growth for the past two decades is two percent... You can take that average and go to a case by case basis and see a little deviation, but the end product is a fixed growth of 2 percent.....
The above does not sound like much, and I would agree there too.... HOWEVER, if you look at doubling time at the rate of two percent things change.... To calculate doubling time, you take the two percent growth and multiply it into 70... This will give you the doubling time.... 70 divided by 2 will give you the doubling time of 35 years.....
This could help you understand that an economy that is growing at a modest rate of 2 percent will double in 35 years..... You could argue that that is not that much either... If I live to see the age of seventy, I would see this substandard growth double twice in my lifetime, correct? No...... True, at 35 I would have seen a doubling of the economy, but the next 35 years the economy size or GDP would quadruple in size relative to the economy you were born into.... If you lived to 105 you would see an economy that was the equal of 16 economies that I was born into....
If I lived to the age of 107 I would see the economic gains in those two years that is more than equal to the entire economy that I was born into.....
Lets switch gears..... If I were Chinese and I was born in 1994 I would be 14, so too young for you perverts! :-) And I would live in an economy that saw more than 10 percent growth every year of my life..... Lets divide 70 by 10 and get the doubling time of 7 years... This would mean that the economy I was born into was 25% the size of the economy that I am in now...... If I lived to be 28 in the year of 2022, my economy would grow to an ecomony that is 16 time the size that I was born into.....
Now lets us apply this to the growth rate of population.... If you took ANY species and give them an unlimited supply of basics, food water and energy they will grow in population at a nearly fixed rate.....
Now, lets take a beaker of bacteria and give it a cracker soaked in oj that would feed 50000 bacteria and the beaker would hold just a little more than this...... The gestation of a bacteria would be 1 minute for shits and grins, you can argue this and I am not a biologist, but the accuracy here is not important for the point..... We will say that midnight we had one bacteria.... 12:01 we would have two...
12:02 we would have four..
12:03 we would have 8....
12:04 we would have 16.....
12:05 we would have 32....
12:06 we would have 64....
12:05 we would have 128....
12:06 we would have 256....
12:07 we would have 512..
12:08 we would have 1024...
12:09 we would have 2048...
12:10 we would have 4096... Here the bacteria look around and see their success and understand they have room and food for 45000 more bacteria and rejoice..
12:11 we would have 8200..
12:12 we would ahve 16400....
12:15 we would have 33000 and the bacteria would look around and say we have lived 15 generations and only used half our food and space.... Some alarmists bacteria, however look around and launch a space ship and colonize 19 other beakers dividing the population into the population they had 5 minutes ago...
All 20 beakers would have a population 1650....
12:16 we would have a population of 3300...
12:17 we would have 6600....
12:18 we would have 13200..
12:19 we would have 26400...
and at 12:20 we have 1,040,000 starved and dead bacteria...
At 12:15 the bacteria escaped extintion by finding TWENTY TIMES THE RESOURCES they had and it bought them 4 more minutes, or an increase 1/5 of their entire time by increasing their habitate by TWENTY TIMES......
If we applied the above to fuel consumption and realize we have used half the reserve, what time would it be if we were on the time line above....
MORE TO COME!