IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v69y2015i3p298-314.html
   My bibliography  Save this article

The codispersion map: a graphical tool to visualize the association between two spatial variables

Author

Listed:
  • Ronny Vallejos
  • Felipe Osorio
  • Diego Mancilla

Abstract

type="main" xml:id="stan12060-abs-0001"> The codispersion coefficient quantifies the association between two spatial processes for a particular direction (spatial lag) on a two-dimensional space. When this coefficient is computed for many directions, it is useful to display those values on a single graph. In this article, we suggest a graphical tool called a codispersion map to visualize the spatial correlation between two sequences on a plane. We describe how to construct a codispersion map for regular and non-regular lattices, providing algorithms in both cases. Three numerical examples are given to illustrate how useful this map can be to detect those directions for which the codispersion coefficient attains its maximum and minimum values. We also provide the R code to construct the codispersion map in practice.

Suggested Citation

  • Ronny Vallejos & Felipe Osorio & Diego Mancilla, 2015. "The codispersion map: a graphical tool to visualize the association between two spatial variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(3), pages 298-314, August.
    • Handle: RePEc:bla:stanee:v:69:y:2015:i:3:p:298-314
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/stan.12060
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Júlia Viladomat & Rahul Mazumder & Alex McInturff & Douglas J. McCauley & Trevor Hastie, 2014. "Assessing the significance of global and local correlations under spatial autocorrelation: A nonparametric approach," Biometrics, The International Biometric Society, vol. 70(2), pages 409-418, June.
    2. Genton, Mark G. & Ruiz-Gazen, Anne, 2009. "Visualizing Influential Observations in Dependent Data," TSE Working Papers 09-051, Toulouse School of Economics (TSE).
    3. Rukhin, Andrew L. & Vallejos, Ronny, 2008. "Codispersion coefficients for spatial and temporal series," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1290-1300, August.
    4. Ronny Vallejos, 2008. "Assessing the association between two spatial or temporal sequences," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(12), pages 1323-1343.
    5. Francisco Cuevas & Emilio Porcu & Ronny Vallejos, 2013. "Study of spatial relationships between two sets of variables: a nonparametric approach," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 25(3), pages 695-714, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Moreno Bevilacqua & Ronny Vallejos & Daira Velandia, 2015. "Assessing the significance of the correlation between the components of a bivariate Gaussian random field," Environmetrics, John Wiley & Sons, Ltd., vol. 26(8), pages 545-556, December.
    2. Fabio Pammolli & Francesco Porcelli & Francesco Vidoli & Monica Auteri & Guido Borà, 2017. "La spesa sanitaria delle Regioni in Italia - Saniregio2017," Working Papers CERM 01-2017, Competitività, Regole, Mercati (CERM).
    3. Li, Hongfei & Calder, Catherine A. & Cressie, Noel, 2012. "One-step estimation of spatial dependence parameters: Properties and extensions of the APLE statistic," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 68-84.
    4. Robert Leech & Reinder Vos De Wael & František Váša & Ting Xu & R. Austin Benn & Robert Scholz & Rodrigo M. Braga & Michael P. Milham & Jessica Royer & Boris C. Bernhardt & Emily J. H. Jones & Elizabe, 2023. "Variation in spatial dependencies across the cortical mantle discriminates the functional behaviour of primary and association cortex," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    5. Martínez-Hernández, Israel & Genton, Marc G. & González-Farías, Graciela, 2019. "Robust depth-based estimation of the functional autoregressive model," Computational Statistics & Data Analysis, Elsevier, vol. 131(C), pages 66-79.
    6. Amado Villarreal González & Saidi Magaly Flores Sánchez & Miguel A. Flores Segovia, 2016. "Patrones de co-localización espacial de la industria aeroespacial en México," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 31(1), pages 169-211.
    7. Yan-Yan Chen & Xi-Bao Huang & Ying Xiao & Yong Jiang & Xiao-wei Shan & Juan Zhang & Shun-Xiang Cai & Jian-Bing Liu, 2015. "Spatial Analysis of Schistosomiasis in Hubei Province, China: A GIS-Based Analysis of Schistosomiasis from 2009 to 2013," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-14, April.
    8. Vidoli, Francesco & Auteri, Monica, 2022. "Health-care demand and supply at municipal level: A spatial disaggregation approach," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).

    More about this item

    Statistics

    Access and download statistics

    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:bla:stanee:v:69:y:2015:i:3:p:298-314. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    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.