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    This web page Describes the Processes-of-Exponential-Growth in Rates-of-Depletion of:

 1. Space-Ship-Earth's Readily-Available Large-But-Finite Terrestrial-Supplies of Each-Material-Form 
    of PURE Fossil-Fuel; e.g., Oil, Natural-Gas Coal, Shale-Oil, Tar-Sands, Peat; Uranium-235, 
    Uranium-238, Thorium, etc.

 2. Space-Ship-Earth's Readily-Available Large-But-Finite Terrestrial-Supplies of each Material-
    Mineral containing Finite-Supplies of each Pure-Element such as: Gold, Platinum, Silver, Copper, Iron, Nickel, 
    Lead, Lithium, etc. for all elements - - - Which-Play-Key-Roles in modern "advanced" Life-Styles of 
    Technically-Sophisticated "Cultures" and "Life-Styles" - - - both Integrative and Destructive.

 3. Space-Ship-Earth's Readily-Available Large-But-Finite Terrestrial-Supplies of PURE-WATER; e.g.: 
    Ocean-Lake-River-Ground-Water, Aquifer-Water, Glacier-Ice, Polar-Ice, etc. 

 4. Space-Ship-Earth's Readily-Available Large-But-Finite Terrestrial-Supplies of PURE: Humus, Soils,
    Organic-Substances, Species, DNAs, etc. - - - within Live-and-Decaying: Plants, Animals, Tissues, Single-
    Cell-Creatures, Molds, Prions, Viruses, etc.

To-Survive with Personal-and-Communal-Integrities the vast majority of us and The-US must all learn to acknowledge 
THAT:

God's Astronomically-Tiny Space-Ship-Earth is ESSENTIALLY-ISOLATED,  as regards Coveted-Terrestrial-
Material-Resources - - - because all Possible-Inter-Planetary and Inter-Stellar Space-Travel TECHNOLOGIES 
will be Net-Consumers of Coveted-Terrestrial-Material-Resources. Click NEXT on the following link: 
Information-Relevant to the Previous-Troubling-Statement.

The chart below will be helpful to many people who  Want-to-Be  Thoughtfully-Informed  about how all Limited-
Material-Resources and Limited-Opportunities-for-Profitable-Investments - - - are "Consumed" and/or "Claimed" 
through activities whose Initial-Rates-of-Growth  AND  Concluding-Rates-of-Decline are Exponential-In-
Character; Initially-Positive-in-Growth and Finally-Negative-in-Decline.  

Time increases from left to right in the chart below.  Consumption rises to 999 at the top and drops back down
when half of the available supply has been consumed and it gets harder and harder to get larger amounts each 
next year. Initially consumption doubles every 12.4 years which is the same as increasing by 5.65% each year.  
The plotted amounts of consumption during each 12.4 years are: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 
peaking at 999 ARBITRARY units of Oil. Then as exhaustion approaches consumption drops to: 512, 256, 128, 64, 
31, 16, 8, 4, 2, 1, 1/2, 1/4, 1/8, 1/16 ===> GONE!  The peak-consumption-rate is about 100 Million Barrels/Day.

This over-simplified-model portrays the shift as occurring instantly when half of the Global-Supply has been 
consumed/claimed. In reality the transition follows a more smooth but still bumpy pattern which can be math-
matical described according to an algebraic formula which is based upon solving a differential equation which 
says that the rate of use is likely to depend on the product of how much Oil Has-Been-Consumed and How-Much-Oil 
remains available to be consumed.  For a more mathmatical analysis GO-TO www.hubertpeak.com/Hubbert/ or search the 
world-wide-web for words such as: "peak oil consumption exhaustion differential equation of M. King Hubbert's
mathmatical model" of the pattern in our exhausting  Astronomically-Tiny  Space-Ship-Earth's  Total-Oil-Supply. 

Arbitrary-Units-of-Consumption have been used below to help dramatize exponential growth with familiar multiples of TWO.

   1880 <===== Year of the Start of OIL Era <===   1979        2004        2029    The Ending of the OIL Era  = = = = = => 

    <=== The PAST   ====>  Period of Growing-Consumption   Peak-Consumption   ====>  Period of Declining-Consumption   FUTURE ===>

          ====>  ERA OF EXPONENTIAL-GROWTH IN-OIL-CONSUMPTION!  ?   ERA OF EXPONENTIAL-DECAY IN-OIL-CONSUMPTION!   ====>

    Imagine diagonal straight lines running between           (999)        
    middles  of  each "(   )" in a diagonal set of "(   )".     |                 
R   Note doubling in diagonal numbers up each side.             |
A                                                       (512)   |   (512)
T                                                               |	           Early Rates-of-consumption
E                                                               |                  DOUBLE every 12.4 years at 5.65%/year.
    Areas below such Diagonal Straight-Lines       (256)        |         (256)
O   "suggest" amounts of oil, NOT-proportionally    |           |           |      On chart   999 ~~> 100 Million Barrels 
F         to areas on-this-graph, however.          |           |           |                         of oil consumed PER- 
    Vertical-Lines separate Total-Oil,     (128)    |           |           |   (128)                 DAY at peak-rate. 
C   Into Quarters of the Total-Oil.                 |           |           |                         999 ~~> 35,600 Million
O                                                   |           |           |                         Barrels Of Oil/YEAR =>
N                                    ( 64)          |           |           |         ( 64)           A CUBE WITH 3,300 OIL
S                                                   |           |           |                         Barrels on-each-edge
U                                                   |           |           |                         Consumed-Each-YEAR!
M                              ( 32)                |           |           |               ( 32)     
P                                                   |           |           |
T                                                   |           |           |                           After the peak:
I                        ( 16)     1/4 OF OIL       | 1/4 OF OIL|1/4 OF OIL |       1/4 OIL      ( 16)    USE DECAYS about
O                             <-------------------->|<--------->|<----------|<----------------->            EXPONENTIALLY!
N                            Left of Vertical Line  | Between   | Between   |  Right of Vertical Line         BE READY!
                    ( 8 )                           |    Lines  |    Lines  |                           ( 8 )   HOW?
                                                    |           |           |                                     WHEN?
                                                    |           |           |                                       WHERE?
              ( 4 )                                 |           |           |                                 ( 4 )   Earth!
                                                    |           |           |
                                                    |           |           |
        ( 2 )                                       |           |           |                                       ( 2 )
                                                    |           |           |
                                                    |           |           |
  ( 1 )                                             |           |           |                                             ( 1 )
    | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  | 25 years  |
   1880        1905        1930        1955        1979        2004        2029        2054        2079        2119        2119

Fraction of oil consumed ===>    1/64  1/32  1/16  1/8   1/4   1/2   3/4   7/8  15/16 31/32 63/64  <== Oil Fraction Consumed

   1880 <===== Year of the Start of OIL Era <===   1979        2004        2029    The Ending of the OIL Era  = = = = = => 

What WILL-BE the inexhaustible forms of energy which we can rely upon - - - - when ALL Fossil-Fuels have been CONSUMED?

This is web page: www.essayz.com/updown.htm
www.hubertpeak.com/Hubbert/ About M. King Hubbert and his work.
Go-To www.essayz.com/sustain.htm What can we DO to Promote-and-Facilitate SUSTAINABILITY?
www.ucsusa.org/ A Source-of-Reliable-Scientific Information