Rules of engagement - modelling conflict: Difference between revisions

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The mathematics of warfare - Scientists find surprising regularities in war and terrorism
The mathematics of warfare - Scientists find surprising regularities in war and terrorism


[http://www.economist.com/science/ The mathematics of warfare (The Economist)] (subscription required)
[http://www.economist.com/science/ The mathematics of warfare] <br>
The Economist July 23, 2005 (Available from Lexis Nexis)
<br>


[http://npg.nature.com/news/2005/050711/pf/050711-5_pf.html Is terrorism the next format for war? (Nature)]
[http://npg.nature.com/news/2005/050711/pf/050711-5_pf.html Is terrorism the next format for war?] <Br>Nature July 12, 2005<br>
Phillip Ball


Academics Neil Johnson from the Univ. of Oxford and Michael Spagao from Royal Holloway College London
Academics Neil Johnson from the Univ. of Oxford and Michael Spagao from Royal Holloway College London
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using data from a database called [http://www.iraqbodycount.net/background.htm IraqBodyCount].
using data from a database called [http://www.iraqbodycount.net/background.htm IraqBodyCount].


The Nature article says 'All wars and conflicts seem to generate a common and distinctive pattern of death statistics. Fifty years ago, the British mathematician Lewis Fry Richardson found that graphs of the number of fatalities in a war plotted against the number of wars of that size follow a relationship called a power law, where all the data points fall on a straight line if plotted logarithmically.
The Nature article says:
This power law encodes the way in which large battles with large numbers of deaths happen very infrequently, and smaller battles happen more often."
<blockquote>All wars and conflicts seem to generate a common and distinctive pattern of death statistics. Fifty years ago, the British mathematician Lewis Fry Richardson found that graphs of the number of fatalities in a war plotted against the number of wars of that size follow a relationship called a power law, where all the data points fall on a straight line if plotted logarithmically.
This power law encodes the way in which large battles with large numbers of deaths happen very infrequently, and smaller battles happen more often.</blockquote>


The Economist article also gives a nice summary of power law relationships
The Economist article also gives a nice summary of power law relationships
"power-law relationships are characterised by a number called an index.
<blockquote> Power-law relationships are characterised by a number called an index.
For each tenfold increase in the death toll,
For each tenfold increase in the death toll,
the probability of such an event occurring decreases by a factor of ten raised to the power of this index,
the probability of such an event occurring decreases by a factor of ten raised to the power of this index,
which is how the distributions get their name."
which is how the distributions get their name.</blockquote>


The Johnson and Spagao paper suggests a difference between conflicts inside and outside G7-countries
The Johnson and Spagao paper suggests a difference between conflicts inside and outside G7-countries
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who suggest that we can expect another attack at least as severe as September 11th
who suggest that we can expect another attack at least as severe as September 11th
within the next seven years.
within the next seven years.
Articles linked to the Pareto distribution and Zipf's Law have been discussed
in previous Chance issues, such as
Why does Zipf's law play such an important role in languages?
[http://www.dartmouth.edu/~chance/chance_news/recent_news/chance_news_12.03.pdf Chance 12.03: May 2 to July 20]

Latest revision as of 19:10, 6 August 2005

The mathematics of warfare - Scientists find surprising regularities in war and terrorism

The mathematics of warfare
The Economist July 23, 2005 (Available from Lexis Nexis)

Is terrorism the next format for war?
Nature July 12, 2005
Phillip Ball

Academics Neil Johnson from the Univ. of Oxford and Michael Spagao from Royal Holloway College London are using the patterns of casualities to model the development of wars. They are attempting to monitor the casualties of the conflict in Iraq, using data from a database called IraqBodyCount.

The Nature article says:

All wars and conflicts seem to generate a common and distinctive pattern of death statistics. Fifty years ago, the British mathematician Lewis Fry Richardson found that graphs of the number of fatalities in a war plotted against the number of wars of that size follow a relationship called a power law, where all the data points fall on a straight line if plotted logarithmically. This power law encodes the way in which large battles with large numbers of deaths happen very infrequently, and smaller battles happen more often.

The Economist article also gives a nice summary of power law relationships

Power-law relationships are characterised by a number called an index.

For each tenfold increase in the death toll, the probability of such an event occurring decreases by a factor of ten raised to the power of this index,

which is how the distributions get their name.

The Johnson and Spagao paper suggests a difference between conflicts inside and outside G7-countries based on their index value.

A more worrying statistic comes from another paper on the same topic by Clauset and Maxwell at the British Institute of Physics who suggest that we can expect another attack at least as severe as September 11th within the next seven years.