by ohanian » Wed 06 Apr 2005, 08:01:36
$this->bbcode_second_pass_quote('spot5050', 'H')ere's a question which has never been answered to my personal satisfaction;
Humans are pretty groovy things yes? We have brains. We are clever.
In our current world of ever increasing supplies of energy, we find ways of doing things faster better cheaper, so post-PO we will still be able to find ways of doing things better faster cheaper etc.
Lets say energy depletes at 1.5% pa post-peak but we get 2% pa more efficient due to being cleverer better faster; then PO will turn out to be a brake on economic growth not the end of it, or even a reversal of it.
There is a flaw in your arguement. It can be exposed mathematically.
First let's define some equations.
Oil Production (P)
Oil Ccnsumption (C)
Inefficiency (I)
Energy requirement (E)
Base year (n) n=2005 (this year)
Let Production for 2005 greater than Consumption for 2005
P_2005 > C_2005 (equation 1)
Show Consumption in terms of energy requirement and inefficiency
C_2005 = E * I_2005 (equation 2)
I_2005 > 1.0 (equation 3)
Now Oil production drops 1.5% per year
P_(n+1) = 0.985 * P_n (equation 4)
Now inefficiency drops 2.0% per year
I_(n+1) = 0.98 * I_n (equation 5)
Now proof by contradiction.
==================
Assume P_z > C_z for all values of z greater than 2005
P_z > C_z where z = n + y and n=2005 (n stands for now/this year)
P_z > E * I_z from equation 2
0.985^y * P_n > E * 0.98^y * I_n from equation 4 & 5
(0.985/0.98)^y * ( P_n / I_n) > E
The above can also be rewritten as
(0.985^y * P_n)/ I_z > E
The contradiction is this I_z has to be greater or equal to 1
BECAUSE ineffiency factor cannot be less than 1.
But I_z = 0.98^y * I_n where I_n is a constand and I_n > 1
So there is a maximum value of y such that I_(n+ymax) = 1
So at some point in the future, you hit minimum inefficiency (or maximum efficiency) and I_z = 1 for all values of z > n+ymax
So the statement "P_z > C_z for all values of z greater than 2005"
has been contradicted.