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It was advanced by Zipf in 1941.This is only used as a probability model.
The Rank Size Rule notes the relationship between the ranks of cities and their populations.
Rank Size Rule and Primate City
For example, if the largest town has a population of x, the second largest town will have a population of x/2, the 3rd largest will have a population of x/3 and so on.
Largest cities in Texas
Houston – 2,000,000
Dallas -- 1,100,000
San Antonio -- 1,100,000
Austin -- 700,000
*Fort Worth – 535,000
El Paso -- 565,000
*Arlington -- 330,000
2000 census
Metropolitan area
*Dallas/Ft. Worth (Metroplex) 6,500,000
Houston -- 5,900,000
San Antonio – 2,000,000
Austin – 1,700,000
El Paso – 750,000
McAllen/Edinburg – 740,000
Corpus Christi – 400,000
2009 estimated pop.
The Law of the Primate City
The primate city is the largest most dominant city in a region.
The degree of primacy refers to the dominance of the largest city over the rest of the country.
Write the largest city in:
China
Egypt
Mexico
Australia
Factors that affect a Primate City
A rapidly expanding population.
Having an underdeveloped economy
Having an agriculturally dominant economy
Advantages of a Primate City
Agglomeration of economic activities
Large market for goods and services
Centralized transportation system
Disadvantages of a Primate City
Unequal economic distribution
“spoke and hub” transportation system prevents equal access to all regions
Negative environment – slums, pollution, traffic congestion
Ouagadougou, Burkina Faso
Most LDCs have a high degree of primacy while most MDCs have a low degree of primacy. Exceptions?
1. Europe
Poland
Spain
Greece
2. East Asia
South Korea
Japan
Vietnam
3. Middle East
Saudi Arabia
Iraq
Israel
4. Africa
South Africa
Libya
Nigeria
Rank the top three cities (include population) of each country below. Goodes page 259
Look up your country and find the three largest cities. Do they show up on page 259?
The legend (key) is at the bottom of the first page of each unit.
11 lesson
RANK SIZE AND PRIMATE CITIES
1. Make two columns.
2. Group cities by countries.
3. Locate five examples of countries that match “Rank size” and “Primate Cities.”
4. List the country and top four cities in population
5. Determine which countries fit the criteria for Rank Size or Primate.
6. Look for patterns within each category between countries (peds/pings, population, industry, agriculture, location etc…)
7. What generalizations can you make about the Rank Size and Primate cities on your list? (at least two)
![Marshall-Olkin Extended Zipf Distribution · The Zipf distribution [12] is the particular case of the discrete PL distribution with support the positive integers larger than zero,](https://static.documents.pub/doc/80x56/5f67a97f8afaa544a3517032/marshall-olkin-extended-zipf-distribution-the-zipf-distribution-12-is-the-particular.jpg)
