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Time evolution of city distributions in Germany

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  • Ikeda, Kiyohiro
  • Osawa, Minoru
  • Takayama, Yuki

Abstract

This paper aims to capture characteristic agglomeration patterns in population data in Germany from 1987 to 2011, encompassing pre- and post-unification periods. We utilize a group-theoretic double Fourier spectrum analysis procedure (Ikeda et al., 2018) as a systematic means to capture characteristic agglomeration patterns in population data. Among a plethora of patterns to be self-organized from a uniform state, we focus on a megalopolis pattern, a rhombic pattern, and a core--satellite pattern (a downtown surrounded by hexagonal satellite cities). As the technical contribution of this paper, we newly introduce a principal vector as a superposition of these patterns in order to grasp the multi-scale nature of agglomerations. Benchmark spectra for these patterns are advanced and are found in the population data of Germany in 2011. An incremental population is investigated using this principal vector to successfully detect a shift of predominant population increase/decrease patterns in the pre- and post-unification periods.

Suggested Citation

  • Ikeda, Kiyohiro & Osawa, Minoru & Takayama, Yuki, 2021. "Time evolution of city distributions in Germany," MPRA Paper 106938, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:106938
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    Cited by:

    1. Hiroki Aizawa & Kiyohiro Ikeda & Yosuke Kogure, 2023. "Satellite City Formation for a Spatial Economic Model," Networks and Spatial Economics, Springer, vol. 23(3), pages 529-558, September.
    2. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.

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    More about this item

    Keywords

    Central place theory City distribution Core--satellite pattern German reunification Hexagons Megalopolis Spectrum analysis;

    JEL classification:

    • R0 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General

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