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# Rank Size Rule

Rank Size Rule. Settlement. Learning outcomes. To understand what the rank Size rule is and the pattern that it tries to outline. Rank Size Rule. This is an attempt to find a numerical relationship between population size of settlements within an area such as a country or county

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## Rank Size Rule

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1. Rank Size Rule Settlement

2. Learning outcomes • To understand what the rank Size rule is and the pattern that it tries to outline

3. Rank Size Rule • This is an attempt to find a numerical relationship between population size of settlements within an area such as a country or county • Settlements are ranked in descending order of population size, with the largest city first

4. Assumptions • The 2nd ranked city will have 1/2 the population of the 1st • The 3rd ranked city will have 1/3 population of the 1st • The 4th ranked city will have a ¼ population of the 1st ranked city

5. Example • The largest city has a population of 1,000,000 • The 2nd largest city: 1,000,000/2= 500,000 • The 3rd city: 1,000,000/3= 333,333 • The 4th city: 1,000,000/4= 250,000 • And so on….

6. Formula • This allows us to express the rank size rule as: • Pn= Pl /n (or R) • Pn= The population of the City • Pl= The population of the largest city • N (or R)= The rank size of the city • See graph Page 404/405 Brazil e.g.

7. Variations from the Rank Size Rule • It is rare to find a close correlation between the city size of a country and the rank size rule

8. Primate City • This is found where the largest city (often the capital) completely dominates a country or region • The population size will be many times greater than that of the 2nd or 3rd city

9. Example of Primate City: Buenos Aires • Populations in thousands: • Buenos Aires: 10,990 • Cordoba: 1198 • Rosario: 1096 • Mendoza: 775 • La Plata: 640 • San Miguel de Tucuman: 622

10. Binary Distribution • Occurs where there are 2 very large cities of almost equal size within the same country. One may be the capital and the other a major port or industrial centre • Examples: Spain- Barcelona and Madrid

11. Exceptions to the rule • Rank size rule is more likely to operate in a country that is developed or urbanised for a long time • Large in size • Stable economic and political organisation • Primate distribution is likely to occur in countries that are small, less developed and only recently urbanised

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