A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A long-term, regional-level analysis of Zipf's and Gibrat's laws in the United States
https://orcid.org/0000-0002-2023-5726
https://orcid.org/0000-0003-3337-217X
https://orcid.org/0000-0003-3725-0022
Abstract We test the validity of Zipf's and Gibrat's laws for city size distributions at the regional level from 1900 to 2010 by considering US states. Zipf's law is satisfied for a majority of states, but for the United States as a whole it only held during the first half of the twentieth century. The null hypothesis of a power law is not rejected at the national level or for most states (the maximum number of rejections in one year is 13 states out of 48). There is evidence supporting a weak version of Gibrat's law in the long-term; mean growth is independent of initial population for most city sizes over the entire United States and in 27 states, while the variance of growth is size-dependent.
Highlights We test the validity of Zipf’s and Gibrat’s laws for city size distributions at the US regional level from 1900–2010. Zipf’s law holds for a majority of states, but for the US as a whole it only held during the first half of the 20th century. The null hypothesis of a power law is not rejected at the national level or for most states. There is evidence supporting a weak version of Gibrat’s law in the long-term. Mean growth is independent of initial population for most city sizes over the entire US and in 27 states.
A long-term, regional-level analysis of Zipf's and Gibrat's laws in the United States
https://orcid.org/0000-0002-2023-5726
https://orcid.org/0000-0003-3337-217X
https://orcid.org/0000-0003-3725-0022
Abstract We test the validity of Zipf's and Gibrat's laws for city size distributions at the regional level from 1900 to 2010 by considering US states. Zipf's law is satisfied for a majority of states, but for the United States as a whole it only held during the first half of the twentieth century. The null hypothesis of a power law is not rejected at the national level or for most states (the maximum number of rejections in one year is 13 states out of 48). There is evidence supporting a weak version of Gibrat's law in the long-term; mean growth is independent of initial population for most city sizes over the entire United States and in 27 states, while the variance of growth is size-dependent.
Highlights We test the validity of Zipf’s and Gibrat’s laws for city size distributions at the US regional level from 1900–2010. Zipf’s law holds for a majority of states, but for the US as a whole it only held during the first half of the 20th century. The null hypothesis of a power law is not rejected at the national level or for most states. There is evidence supporting a weak version of Gibrat’s law in the long-term. Mean growth is independent of initial population for most city sizes over the entire US and in 27 states.
A long-term, regional-level analysis of Zipf's and Gibrat's laws in the United States
https://orcid.org/0000-0002-2023-5726
https://orcid.org/0000-0003-3337-217X
https://orcid.org/0000-0003-3725-0022
Abstract We test the validity of Zipf's and Gibrat's laws for city size distributions at the regional level from 1900 to 2010 by considering US states. Zipf's law is satisfied for a majority of states, but for the United States as a whole it only held during the first half of the twentieth century. The null hypothesis of a power law is not rejected at the national level or for most states (the maximum number of rejections in one year is 13 states out of 48). There is evidence supporting a weak version of Gibrat's law in the long-term; mean growth is independent of initial population for most city sizes over the entire United States and in 27 states, while the variance of growth is size-dependent.
Highlights We test the validity of Zipf’s and Gibrat’s laws for city size distributions at the US regional level from 1900–2010. Zipf’s law holds for a majority of states, but for the US as a whole it only held during the first half of the 20th century. The null hypothesis of a power law is not rejected at the national level or for most states. There is evidence supporting a weak version of Gibrat’s law in the long-term. Mean growth is independent of initial population for most city sizes over the entire US and in 27 states.
A long-term, regional-level analysis of Zipf's and Gibrat's laws in the United States
González-Val, Rafael (author) / Ximénez-de-Embún, Domingo P. (author) / Sanz-Gracia, Fernando (author)
Cities ; 149
2024-03-09
Article (Journal)
Electronic Resource
English
US states , Zipf's law , Power law , Gibrat's law , C12 , R11 , R12
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