Power laws, discontinuities and regional city size distributions
نویسندگان
چکیده
منابع مشابه
Power laws, Pareto distributions and Zipf’s law
When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf’s law or the Pareto distribution. Power laws appear widely in physics, biology, earth and planetary sciences, economics and finance, computer science, demography and the social sciences. For instance, the distri...
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Gaston's1 discussion of the patterns and mechanisms shaping distribution curves of species-range-sizes leaves out two important issues related to scale and hierarchical structuring of biota. Several provide evidence that species distributions are nested, that is, overlapping in a particular manner in which species with broad ranges often contain much smaller ranges of other species. In nested s...
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We review the accumulated knowledge on city size distributions and determinants of urban growth. This topic is of interest because of a number of key stylized facts, including notably Zipf’s law for cities (which states that the number of cities of size greater than S is proportional to 1/S) and the importance of urban primacy. We first review the empirical evidence on the upper tail of city si...
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Introduction: Previous studies with numerical collisional models have demonstrated that wave-like departures from traditional, linear power-law equilibrium size distributions can result from a small-size cutoff in the particle population [1–4]. At small sizes, a particle cutoff may result from the rapid removal of bodies by non-gravitational forces such as PoyntingRobertson drag or the Yarkovsk...
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Casualty counts are often controversial, and thorough research can only go so far in resolving such debates—there will almost always be missing data, and thus, a need to draw inferences about how comprehensively violence has been recorded. This article addresses that challenge by developing an estimation strategy based on the observation that violent events are generally distributed according t...
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ژورنال
عنوان ژورنال: Journal of Economic Behavior & Organization
سال: 2008
ISSN: 0167-2681
DOI: 10.1016/j.jebo.2008.03.011