Three urban growth theories predict parallel growth of cities. The endogenous growth theory predicts deterministic parallel growth; the random growth theory implies that city growth follows Gibrat's law with a steady-state distribution; and the hybrid growth theory suggests the co-movement of...

This paper presents an essay on empirical testing procedure for economic convergence. Referring to the unit root test proposed by Moon and Perron (2004), we proposed a modified Evans (1996)testing procedure of the convergence hypothesis. The advantage of this modified procedure is that it makes...

An important literature has focused on then rank size rule and the Zipf’s law without delivering significant results. Among the reasons for this low scientific productivity, one can find ommisions and misunderstandings between different scientific fields, the generalization of physical and...

Exploiting the cascade structure of cities and based on a dataset for U.S. cities between 1840 and 2016, the aim of this short paper is to answer three important questions: First, do we observe that the U.S. city size distribution exhibits a smooth transition to Zipf's law from the beginning or...

We analyze the first data set on consistently defined functional urban areas in Europe and compare the European to the US urban system. City sizes in Europe do not follow a power law: the largest cities are “too small” to follow Zipf’s law.

Exploiting the cascade structure of cities and based on a dataset for U.S. cities between 1840 and 2016, the aim of this short paper is to answer three important questions: First, do we observe that the U.S. city size distribution exhibits a smooth transition to Zipf's law from the beginning or...

We analyze the first data set on consistently defined functional urban areas in Europe and compare the European to the US urban system. City sizes in Europe do not follow a power law: the largest cities are “too small” to follow Zipf’s law.

In this paper we show that the double Pareto lognormal (DPLN) parameterization provides an excellent fit to the overall US city size distribution, regardless of whether “cities” are administratively defined Census places or economically defined area clusters. We then consider an economic...

In this paper we show that the double Pareto lognormal (DPLN) parameterization provides an excellent fit to the overall US city size distribution, regardless of whether “cities” are administratively defined Census places or economically defined area clusters. We then consider an economic...

Place names, or toponyms, provide insight into the initial geographical characteristics of settlements. We present a unique dataset of 3,705 German toponyms that includes the date of the first historical record mentioning the settlement and the date it was granted city rights. We show that the...