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D5 Annex report WP 3: ETIS Database methodology ... - ETIS plus

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<strong>D5</strong> <strong>Annex</strong> <strong>WP</strong> 3: DATABASE METHODOLOGY AND DATABASE USER<br />

MANUAL – FREIGHT TRANSPORT DEMAND<br />

For example:<br />

Orig/ Dest Dest1 Dest2 Dest3 Total<br />

Orig1 100<br />

Orig2 200<br />

Orig3 300<br />

Total 150 250 200 600<br />

For this study, the problem can be seen as a series of large matrices, one for each commodity.<br />

The origins and destinations are a mixture of countries and regions. Country to/from country<br />

and country to/from region flows will be known, but subsets of the matrices will appear as<br />

above, e.g. France to/from Spain.<br />

For example, Iron and Steel Trade,<br />

Orig/ Dest Champagne Picardie Hte Normandie Total<br />

Galicia 100<br />

Asturias 200<br />

Cantabria 300<br />

Total 150 250 200 600<br />

There are various iterative procedures for finding "solutions" to these problems, but these are<br />

essentially computer algorithms that have too many degrees of freedom to reach conclusive<br />

results. They fit but they are not necessarily right.<br />

It is possible to "seed" the matrix by filling it with particular values before the iteration solves it.<br />

The seeding biases the results, so if the seeding is performed according to a valid theory of what<br />

the matrix represents, it should improve the result.<br />

One possibility is the so­called "Gravity Model" which takes into account the distance between<br />

any two regions in the matrix. By introducing seeded values inversely proportional to the<br />

distance (interpreted as the attraction between cells) between the regions it ought to be possible<br />

to improve accuracy. Further accuracy might be achieved by extending the analysis to using<br />

Generalised Cost instead of pure distance, and other factors such as language compatibility,<br />

common currency, joint membership of trade bloc, and so on.<br />

Many sophisticated procedures can be hypothesized, but without any base matrices to test the<br />

results against, it is difficult to judge their validity. In these circumstances, if the base matrix<br />

were known, there would be no practical reason for trying to estimate it. This is the problem.<br />

Document2<br />

27 May 2004<br />

139

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