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Development of a new spatial auto-correlation method for precisely testing the "First Law of Geography"

Research Project

Project/Area Number 24650606
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Geography
Research InstitutionAoyama Gakuin University

Principal Investigator

OKABE Atsuyuki  青山学院大学, 総合文化政策学部, 教授 (10114050)

Co-Investigator(Kenkyū-buntansha) YAMADA Ikuho  中央大学, 理工学部人間総合理工学科, 教授 (00594756)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords空間自己相関 / モランのI指標 / 統計検定用数表 / モンテカルロシミュレーション / 地理の第1法則 / モラン / ローカル統計 / グローバル統計 / 統計的検定 / 組み合わせ法 / 第一種の過誤 / モンテカルロ法 / ローカル統計量 / グローバル統計量 / モンテカルロ
Outline of Final Research Achievements

This study proposes a precise method for using Moran’s I index, one of the most frequently used methods for testing spatial autocorrelation. In the related literature, most studies assume that Moran’s I index is normally distributed if the number of zones is around one hundred. This study shows that even for that large number, the normality is not satisfied; consequently, empirical studies using Moran’s I index with such a number of zones are likely to lead false conclusions. To avoid these false conclusions, this study carried out a huge number of Monte Carlo simulations, and obtained the numerical table of the critical values for Moran’s I index. Using this table, researchers can perform a precise statistical test for spatial autocorrelation.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (10 results)

All 2015 2014 2013 Other

All Journal Article (2 results) (of which Peer Reviewed: 1 results,  Acknowledgement Compliant: 1 results) Presentation (6 results) Remarks (2 results)

  • [Journal Article] Examining Tail Distributions of Moran’s I Statistic through Intensive Simulations.2015

    • Author(s)
      Yamada, I., A. Okabe.
    • Journal Title

      Proceedings of Spatial Data Handling

      Volume: to appear

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] MoranのI統計量の裾野分布に関する一考察2013

    • Author(s)
      山田育穂 岡部篤行
    • Journal Title

      地理情報システム学会講演論文集(CD-ROM)

      Volume: 22

    • Related Report
      2013 Research-status Report
  • [Presentation] Examining Tail Distributions of Moran’s I Statistic through Intensive Simulations2014

    • Author(s)
      Yamada, I., A. Okabe
    • Organizer
      ISPRS/IGU Joint International Conference on Geospatial Theory, Processing, Modelling and Applications
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2014-10-06 – 2014-10-08
    • Related Report
      2014 Annual Research Report
  • [Presentation] MoranのI統計量の裾野分布が空間自己相関の検定に与える影響についての考察2014

    • Author(s)
      山田育穂 岡部篤行
    • Organizer
      日本地理学会
    • Place of Presentation
      国士舘大学
    • Related Report
      2013 Research-status Report
  • [Presentation] New Approaches to Moran's I Test of Spatial Autocorrelation2013

    • Author(s)
      Yamada, I. and Okabe, A.
    • Organizer
      IGU Kyoto Regional Conference
    • Place of Presentation
      京都国際会議場
    • Related Report
      2013 Research-status Report
  • [Presentation] A GIS-based method for converting area-based data to network-based data and its application: Estimating the number of refugees who would walk to the nearest shelter following a large earthquake2013

    • Author(s)
      Okabe, A. and W. Morioka
    • Organizer
      International Cartographic Conference
    • Place of Presentation
      26th International Cartographic Conference, Dresden
    • Related Report
      2012 Research-status Report
  • [Presentation] Toward more robust testing of spatial autocorrelation by Moran’s I2013

    • Author(s)
      Yamada, I. and A, Okabe
    • Organizer
      International Geographic Union
    • Place of Presentation
      IGU Kyoto Regional Conference
    • Related Report
      2012 Research-status Report
  • [Presentation] MoranのI統計量を用いた空間自己相関の検定に関する一提 案

    • Author(s)
      山田育穂, 岡部篤行
    • Organizer
      日本地理学会
    • Place of Presentation
      立正大学
    • Related Report
      2012 Research-status Report
  • [Remarks] 岡部研究室

    • URL

      http://www2.sccs.aoyama.ac.jp/~atsu/

    • Related Report
      2014 Annual Research Report
  • [Remarks] 山田研究室

    • URL

      http://www.spatial-lab.human.chuo-u.ac.jp/

    • Related Report
      2014 Annual Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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