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The conclusion is that the power function gives the best result for a country when we have 100% of the data, i.e. up to a population ratio of 1. At what population ratio do we get an estimate of the weighted country size that is good enough. We can define good enough as within 10%.
The conclusion is that the power function gives the best result for a country when we have 100% of the data, i.e. up to a population ratio of 1. At what population ratio do we get an estimate of the weighted country size that is good enough. We can define good enough as within 10%.
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So for France this will be at 371 ± 37. The evolution of the size estimates as departments are added and the population ratio increases is shown below.
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So for France this will be at 380 ± 40. The evolution of the size estimates as departments are added and the population ratio increases is shown below.
[[File:FranceDepartmentsSizeEstimateEvolution.png|thumb|center|The evolution of the weighted size of France, using the departments.]]
[[File:FranceDepartmentsSizeEstimateEvolution.png|thumb|center|The evolution of the weighted size of France, using the departments.]]
The red dot shows where the estimate is within 10% of the final value. So this occurs well above a population ratio of 50%. If we accept an error of 20%, a population ratio of at least 30% is required.
The red dot shows where the estimate is within 10% of the final value. So this occurs well above a population ratio of 50%. If we accept an error of 20%, a population ratio of at least 30% is required.