Zipf's law - Geography Ebooks | TheGeoecologist

Question 1

What is the Rank Size Rule formula?

Accepted Answer

The Rank Size Rule formula is Pₙ = P₁/n, where Pₙ is the population of the city at rank n, and P₁ is the population of the largest city (rank 1). This means the 2nd largest city is 1/2 the size of the largest, the 3rd is 1/3, and so on.

Question 2

How does Zipf's Law differ from the Rank Size Rule?

Accepted Answer

Zipf's Law generalizes the Rank Size Rule with a variable exponent: Pₙ = P₁/nᵃ. While the Rank Size Rule fixes the exponent at 1.0, Zipf's Law allows it to vary (typically 0.8–1.3 for cities), making it more flexible for fitting real-world data across linguistics, economics, and urban systems.

Question 3

Which countries follow the Rank Size Rule closely?

Accepted Answer

Countries with large territories, federal systems, and multiple historical economic centers—such as the United States, China, India, Brazil, and Russia—approximate the Rank Size Rule. Their urban hierarchies show relatively balanced distributions without extreme primacy.

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Rank Size Rule: Understanding Zipf’s Law in Settlement Geography