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Development of spatial Fourier analysis method and application to worldwide real population data for scientific verification of central place theory

Research Project

Project/Area Number 18K04380
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 22050:Civil engineering plan and transportation engineering-related
Research InstitutionTohoku University

Principal Investigator

Ikeda Kiyohiro  東北大学, 工学研究科, 教授 (50168126)

Co-Investigator(Kenkyū-buntansha) 大澤 実  東北大学, 工学研究科, 助教 (50793709)
高山 雄貴  金沢大学, 地球社会基盤学系, 准教授 (90612648)
Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords人口分布データ / 経済地理学 / 中心地理論 / 人口分布 / 都市分布 / スペクトル分析 / 空間スペクトル / 正6角形ラチス / 群論的分岐理論 / スペクトル解析 / メガロポリス / 正多角形 / 既約分解 / 人口データ / 分岐理論 / スペクトル
Outline of Final Research Achievements

To answer a long standing question about the existence of regular-hexagonal patterns of central place theory in the real population data, we have proposed a group-theoretic spectrum analysis method. As a major achievement of this research project, we have submitted a paper entitled "Time evolution of city distributions in Germany" to the Journal of Network and Spatial Economics. This is a synthesis of a series of analysis procedures. As a result, we have succeeded in capturing characteristic agglomeration patterns in Southern Germany and their time evolution.

Academic Significance and Societal Importance of the Research Achievements

中心地理論による都市分布は,長年その理論的・経済学的な裏付けの欠如が指摘されている.地理学では,人口データの蓄積が世界的に進行しているが,特長的な都市分布パターンの抽出法の確立が課題であった.本申請では,上記の研究分野を横断する視点として核周辺型の集積パターンを提案した.群論的分岐理論によりこのパターンを理論予測し,中心地理論に科学的な裏付けを与えた.次に,空間経済モデルに対し,核周辺型から一極集中に移行する集積のメカニズムを示した.大都市と衛星都市との競争と消長は,土木計画学・経済地理学における重要課題であり、現在のコロナ禍における都市人口の集積・分散を明らかにする上でも大変重要な視点ある.

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (20 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (4 results) Journal Article (11 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 11 results,  Open Access: 4 results) Presentation (5 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] University; Catholique de Louvain(ベルギー)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Universidade Catolica Portuguesa(ポルトガル)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Universidade Catolica Portugesa(ポルトガル)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Católica Porto Business School/Universidade Católica Portuguesa(ポルトガル)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Global bifurcation mechanism and local stability of identical and equidistant regions: Application to three regions and more2021

    • Author(s)
      Gaspar Jose M.、Ikeda Kiyohiro、Onda Mikihasa
    • Journal Title

      Regional Science and Urban Economics

      Volume: 86 Pages: 103597-103597

    • DOI

      10.1016/j.regsciurbeco.2020.103597

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Breaking and Sustaining Bifurcations in SN-Invariant Equidistant Economy2020

    • Author(s)
      Aizawa H., Ikeda K., Osawa M., Gaspar J. M.
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 30 Issue: 16 Pages: 2050240-2050240

    • DOI

      10.1142/s0218127420502405

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Stability and sustainability of urban systems under commuting and transportation costs2020

    • Author(s)
      Takayama Yuki, Ikeda Kiyohiro, Thisse Jacques-Francois
    • Journal Title

      Regional Science and Urban Economics

      Volume: 84 Pages: 103553-103553

    • DOI

      10.1016/j.regsciurbeco.2020.103553

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] BIFURCATION ANALYSIS OF MONOCENTRIC AGGLOMERATION ON A LONG NARROW ECONOMY2020

    • Author(s)
      AIZAWA Hiroki、IKEDA Kiyohiro、KOGURE Yosuke、OSAWA Minoru、GASPAR Jose Maria
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management)

      Volume: 76 Issue: 4 Pages: 282-298

    • DOI

      10.2208/jscejipm.76.4_282

    • NAID

      130007928320

    • ISSN
      2185-6540
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Invariant patterns for replicator dynamics on a hexagonal lattice2019

    • Author(s)
      Ikeda, K., Kogure, Y., Aizawa, H., Takayama, Y.
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 29(6) Issue: 06 Pages: 1930014-1930014

    • DOI

      10.1142/s0218127419300143

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] HIERARCHICAL SPATIAL MODELLING AND GROUP-THEORETIC SPECTRUM ANALYSIS OF REGIONAL POPULATION DISTRIBUTION2019

    • Author(s)
      ONDA Mikihisa、MURAKAMI Daisuke、OSAWA Minoru、TAKAYAMA Yuki、IKEDA Kiyohiro
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management)

      Volume: 75 Issue: 4 Pages: 262-272

    • DOI

      10.2208/jscejipm.75.262

    • NAID

      130007748753

    • ISSN
      2185-6540
    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Group-Theoretic Spectrum Analysis of Population Distribution in Southern Germany and Eastern USA2018

    • Author(s)
      Ikeda, K., Takayama, Y., Onda, M., Murakami, D.
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 28(14) Issue: 14 Pages: 18300458-18300458

    • DOI

      10.1142/s0218127418300458

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice2018

    • Author(s)
      Ikeda, K., Aizawa, H., Kogure, Y., Takayama, Y.
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 28(11) Issue: 11 Pages: 1850138-1850138

    • DOI

      10.1142/s0218127418501389

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions2018

    • Author(s)
      Ikeda, K., Onda, M., Takayama, Y.
    • Journal Title

      Journal of Economic Dynamics and Control

      Volume: 92 Pages: 129-152

    • DOI

      10.1016/j.jedc.2018.05.002

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] ifurcation Theory of a Racetrack Economy in a Spatial Economy Model2018

    • Author(s)
      Ikeda, K., Onda, M., Takayama, Y.
    • Journal Title

      Netwrok and Spatial Economics

      Volume: Online Issue: 1 Pages: 1-26

    • DOI

      10.1007/s11067-018-9423-0

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] AN ENHANCEMENT OF GROUP-THEORETIC SPECTRUM ANALYSIS FOR DETECTING SPATIAL AGGLOMERATION2018

    • Author(s)
      恩田幹久, 村上大輔, 池田清宏, 高山雄貴, 大澤実, 木暮洋介
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management)

      Volume: 74 Issue: 4 Pages: 398-410

    • DOI

      10.2208/jscejipm.74.398

    • NAID

      130007536257

    • ISSN
      2185-6540
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 各種空間条件におけるNEGモデルの特性評価の理論と数値解析2019

    • Author(s)
      池田清宏
    • Organizer
      ARSC
    • Related Report
      2019 Research-status Report
  • [Presentation] Stability and sustainability of urban systems under commuting and transportation costs2019

    • Author(s)
      高山雄貴・池田清宏・J.-F. Thisse
    • Organizer
      ARSC
    • Related Report
      2019 Research-status Report
  • [Presentation] Bifurcation mechanism and stability of equidistant economy2019

    • Author(s)
      相澤大輝・池田清宏・大澤実・J.M. Gaspar
    • Organizer
      ARSC
    • Related Report
      2019 Research-status Report
  • [Presentation] Invariant Patterns and Market Areas for Replicator Dynamics on a Hexagonal Lattice2019

    • Author(s)
      Y.Kogure, H. Aizawa, K. Ikeda
    • Organizer
      Market Studies and Spatial Economics
    • Related Report
      2019 Research-status Report
  • [Presentation] Spatial period doubling and invariant patterns in symmetric spatial platforms2018

    • Author(s)
      Onda, M., Ikeda, K., Takayama, Y.
    • Organizer
      Economy as a Spatial Complex System
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2022-01-27  

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