vortex-l  

[Vo]:Environmental space

Nick Palmer
Fri, 21 Mar 2008 17:42:26 -0700

Could Vorts look over the paragraph below and give me their opinion on it (also 
please check the maths). It is part of an article I am writing for our 
newspaper on sustainability.

<<        Perhaps people do not realise how little environmental space we all 
share because there is a rather strange belief around which often comes out in 
anti-Green propaganda articles, particularly in relation to global warming, 
where the protagonists try to lead us to believe that we cannot possibly affect 
the environment of Earth because we're so puny and the earth is so large. These 
people must be mathematically illiterate.  In the late 1960's people raised 
concerns about the growing population and scoffers at the time claimed that the 
entire world's population could squeeze onto the Isle of Wight (although this 
assumes just over one square foot each!), thus making the world then appear a 
pretty roomy place.  I did the complementary calculation and discovered that if 
the global population then (3.6 billion) was evenly distributed over of the 
land surface of earth, then each person would only have an area of land 220 
yards square as their personal environmental space! Obviously some of the land 
would be hostile desert, ice fields, mountains, rainforest etc. The world 
suddenly looked rather cramped.  I recently did similar calculations again, 
using the current world population figure of 6.6 billion, and our current 
personal environmental land space is now down to 150 metres square (164 yards 
square) per person.  I then went on to calculate what size our personal 
spaceship is today within which we metaphorically have to live our lives, use 
energy, manufacture goods, dispose of waste, extract minerals, grow food, catch 
fish and dissipate pollution, pesticides etc within.  Surprisingly, our 
personal spaceship works out to be a globe only  about 1.18 kilometres in 
diameter within which we have a piece of  Earth's surface about 277 metres 
square (of which 70% would be ocean). Perhaps this helps to make it clear why 
the total number of people multiplied by their individual impacts on the planet 
has now brought us to the point where we can put up a "House full" notice on 
planet Earth.   >>

The figures etc I used are easily findable.

Radius of Earth = 3960 miles
Surface area of sphere = 4pi x r squared
Proportions of land compared to ocean 30%/70%
Column of atmosphere above us, assuming pressure of one atmosphere to the top, 
10.6km. (worked out using sea level pressure and density) 
Volume of personal spaceship's atmosphere = 10,600m x 277 x 277 cu metre
Radius of personal spaceship = cube root of (Volume divided by pi x 3/4)

I assumed that the spaceship should have constant atmospheric pressure 
throughout (as it would in space)  to make things simpler to visualise because 
any gaseous pollutant introduced within the body of gas would reach roughly the 
same relative concentration to other gas molecules whatever the pressure; that 
is to say that one gallons worth of fossil fuel fumes would expand to a much 
greater volume high in Earth's atmosphere but the relative concentration would 
stay approximately the same.


Nick Palmer