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Centroid: Difference between revisions
→Actual accuracy
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Can the accuracy of the centroid city be determined from the actual calculations, or their development? Every time another city is added, the centroid might change. But how likely is it that this happens. That depends on the size and relative population of the added city. And it depends on weighted distance to the runnerup centroid city. If the weighted distance is very large, adding other cities will not budge the winner city. | Can the accuracy of the centroid city be determined from the actual calculations, or their development? Every time another city is added, the centroid might change. But how likely is it that this happens. That depends on the size and relative population of the added city. And it depends on weighted distance to the runnerup centroid city. If the weighted distance is very large, adding other cities will not budge the winner city. | ||
So calculate the difference in weighted distance between the winner centroid city and the runner-up centroid city. Divide this by the fractional size of the latest city added. This will result in a distance. This distance is the distance required | So calculate the difference in weighted distance between the winner centroid city and the runner-up centroid city. Divide this by the fractional size of the latest city added. This will result in a dethroning distance. This dethroning distance is the distance required to dethrone the winner city. (In practice this required distance will be much larger) | ||
If this distance is larger than the size of the country, the winner centroid is ok. If the distance is smaller, then we have to take a closer look. | If this dethroning distance is larger than the size of the country, the winner centroid is ok. If the dethroning distance is smaller, then we have to take a closer look. As the dethroning distance will be much larger, we should only look at cases where the dethroning distance is smaller than the actual distance. | ||
In the calculated centroids, this implies: | |||
* France (between Paris and Lyon) | |||
== Observations == | == Observations == | ||
Can this approach also be used to get an indication of country size? | Can this approach also be used to get an indication of country size? | ||