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Distance-based measures of spatial concentration: Introducing a relative density function

Abstract : For a decade, distance-based methods have been widely employed and constantly improved in the field of spatial economics. These methods are a very useful tool for accurately evaluating the spatial distribution of plants or retail stores, for example (Duranton and Overman, 2008). In this paper, we introduce a new distance-based statistical measure for evaluating the spatial concentration of economic activities. To our knowledge, the m function is the first relative density function to be proposed in the economics literature. This tool supplements the typology of distance-based methods recently drawn up by Marcon and Puech (2012). By considering several theoretical and empirical examples, we show the advantages and the limits of the m function for detecting spatial structures in economics.
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https://hal.archives-ouvertes.fr/hal-01082178
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Submitted on : Thursday, October 24, 2019 - 10:29:01 PM
Last modification on : Wednesday, November 3, 2021 - 4:04:18 AM
Long-term archiving on: : Saturday, January 25, 2020 - 6:43:52 PM

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Gabriel Lang, Eric Marcon, Florence Puech. Distance-based measures of spatial concentration: Introducing a relative density function. The Annals of Regional Science, 2020, 64 (2), pp.243-265. ⟨10.1007/s00168-019-00946-7⟩. ⟨hal-01082178v4⟩

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