IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i17p2746-d1471322.html
   My bibliography  Save this article

Moran’s I for Multivariate Spatial Data

Author

Listed:
  • Hiroshi Yamada

    (Graduate School of Humanities and Social Sciences, Hiroshima University, 1-2-1 Kagamiyama, Hiroshima 739-8524, Japan)

Abstract

Moran’s I is a spatial autocorrelation measure of univariate spatial data. Therefore, even if p spatial data exist, we can only obtain p values for Moran’s I . In other words, Moran’s I cannot measure the degree of spatial autocorrelation of multivariate spatial data as a single value. This paper addresses this issue. That is, we extend Moran’s I so that it can measure the degree of spatial autocorrelation of multivariate spatial data as a single value. In addition, since the local version of Moran’s I has the same problem, we extend it as well. Then, we establish their properties, which are fundamental for applied work. Numerical illustrations of the theoretical results obtained in the paper are also provided.

Suggested Citation

  • Hiroshi Yamada, 2024. "Moran’s I for Multivariate Spatial Data," Mathematics, MDPI, vol. 12(17), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2746-:d:1471322
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/17/2746/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/17/2746/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2746-:d:1471322. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.