Time evolution of city distributions in Germany: Group-theoretic spectrum analysis
Time evolution of city distributions in Germany: Group-theoretic spectrum analysis
复制标题
德国城市分布的时间演化：群论谱分析
DOI：
10.1007/s11067-021-09557-2
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发表时间：
2022
影响因子：
2.4
通讯作者：
Y.
中科院分区：
文献类型：
--
作者：
Ikeda;K.・Osawa;M.・Takayama;Y.
本文旨在捕捉1987年至2011年德国人口数据的特征集聚模式，包括统一前后的时期。我们利用群论双傅立叶谱分析程序（Ikeda等人）作为一种系统的手段来捕获人口数据中的特征集聚模式。在众多从统一状态自组织的模式中，我们重点关注特大城市模式、菱形模式和核心卫星模式（由六边形卫星城包围的市中心）。作为本文的技术贡献，我们引入了这些模式的主向量叠加，以便掌握团块的多尺度性质。提出了这些模式的基准光谱，并在2011年德国的人口数据中找到。利用这一主向量对一个增量种群进行了研究，成功地发现了统一前后主要种群增减模式的变化。
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. ) 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 aprincipal vectoras 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.