IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v31y1999i1p165-180.html

A Variance-Stabilizing Coding Scheme for Spatial Link Matrices

Author

Listed:
  • M Tiefelsdorf

    (Department of Geography, Centre for Earth Observation Science, University of Manitoba, 211 Isbister Building, Winnipeg, Manitoba R3T 2N2, Canada)

  • D A Griffith

    (Department of Geography, Syracuse University, 144 Eggers Hall, Syracuse, NY 13244, USA)

  • B Boots

    (Department of Geography and Environmental Studies, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada)

Abstract

In spatial statistics and spatial econometrics two coding schemes are used predominately. Except for some initial work, the properties of both coding schemes have not been investigated systematically. In this paper we do so for significant spatial processes specified as either a simulta-neous autoregressive or a moving average process. Results show that the C -coding scheme emphasizes spatial objects with relatively large numbers of connections, such as those in the interior of a study region. In contrast, the W -coding scheme assigns higher leverage to spatial objects with few connections, such as those on the periphery of a study region. To address this topology-induced heterogeneity, we design a novel S -coding scheme whose properties lie in between those of the C -coding and the W -coding schemes. To compare these three coding schemes within and across the different spatial processes, we find a set of autocorrelation parameters that makes the processes stochastically homologous via a method based on the exact conditional expectation of Moran's I . In the new S -coding scheme the topology induced heterogeneity can be removed in toto for Moran's I as well as for moving average processes and it can be substantially alleviated for autoregressive processes.

Suggested Citation

  • M Tiefelsdorf & D A Griffith & B Boots, 1999. "A Variance-Stabilizing Coding Scheme for Spatial Link Matrices," Environment and Planning A, , vol. 31(1), pages 165-180, January.
    • Handle: RePEc:sae:envira:v:31:y:1999:i:1:p:165-180
    DOI: 10.1068/a310165
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a310165
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a310165?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Luc Anselin & Daniel A. Griffith, 1988. "Do Spatial Effecfs Really Matter In Regression Analysis?," Papers in Regional Science, Wiley Blackwell, vol. 65(1), pages 11-34, January.
    2. Luc Anselin & Raymond J. G. M. Florax, 1995. "Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 2, pages 21-74, Springer.
    3. L W Hepple, 1995. "Bayesian Techniques in Spatial and Network Econometrics: 2. Computational Methods and Algorithms," Environment and Planning A, , vol. 27(4), pages 615-644, April.
    4. Sawa, Takamitsu, 1978. "The exact moments of the least squares estimator for the autoregressive model," Journal of Econometrics, Elsevier, vol. 8(2), pages 159-172, October.
    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. Mur, Jesús & Angulo, Ana, 2009. "Model selection strategies in a spatial setting: Some additional results," Regional Science and Urban Economics, Elsevier, vol. 39(2), pages 200-213, March.
    2. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    3. Eleftheria Kontou & Noreen McDonald, 2021. "Associating ridesourcing with road safety outcomes: Insights from Austin, Texas," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-18, March.
    4. Wenming Shi & Meifeng Luo & Mengjie Jin & Seu Keow Cheng & Kevin X. Li, 2020. "Urban–rural income disparity and inbound tourism: Spatial evidence from China," Tourism Economics, , vol. 26(7), pages 1231-1247, November.
    5. Anna Mikusheva & Mikkel Sølvsten, 2025. "Linear regression with weak exogeneity," Quantitative Economics, Econometric Society, vol. 16(2), pages 367-403, May.
    6. Wang, Xiong & Wang, Xiao & Ren, Xiaohang & Wen, Fenghua, 2022. "Can digital financial inclusion affect CO2 emissions of China at the prefecture level? Evidence from a spatial econometric approach," Energy Economics, Elsevier, vol. 109(C).
    7. Müller, Ulrich K. & Wang, Yulong, 2019. "Nearly weighted risk minimal unbiased estimation," Journal of Econometrics, Elsevier, vol. 209(1), pages 18-34.
    8. Tony Smith & Peggy Wu, 2009. "A spatio-temporal model of housing prices based on individual sales transactions over time," Journal of Geographical Systems, Springer, vol. 11(4), pages 333-355, December.
    9. Jinkai Li & Jueying Chen & Heguang Liu, 2021. "Sustainable Agricultural Total Factor Productivity and Its Spatial Relationship with Urbanization in China," Sustainability, MDPI, vol. 13(12), pages 1-15, June.
    10. Stephan Brunow & Peter Nijkamp, 2013. "Firm Formation and Agglomeration under Monopolistic Competition," Tinbergen Institute Discussion Papers 13-134/VIII, Tinbergen Institute.
    11. Martínez, Constanza & León, Carlos, 2016. "The cost of collateralized borrowing in the Colombian money market: Does connectedness matter?," Journal of Financial Stability, Elsevier, vol. 25(C), pages 193-205.
    12. Di Giuli, Alberta & Laux, Paul A., 2022. "The effect of media-linked directors on financing and external governance," Journal of Financial Economics, Elsevier, vol. 145(2), pages 103-131.
    13. Faff, Robert & Gray, Philip, 2006. "On the estimation and comparison of short-rate models using the generalised method of moments," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3131-3146, November.
    14. Tian Li & Peng Jing & Linchao Li & Dazhi Sun & Wenbo Yan, 2019. "Revealing the Varying Impact of Urban Built Environment on Online Car-Hailing Travel in Spatio-Temporal Dimension: An Exploratory Analysis in Chengdu, China," Sustainability, MDPI, vol. 11(5), pages 1-17, March.
    15. Kudłak, Robert & Kisiała, Wojciech & Kołsut, Bartłomiej, 2024. "Systemic transformation, political reforms and car ownership in Poland," Journal of Transport Geography, Elsevier, vol. 117(C).
    16. Jesus Mur & Ana Angulo, 2005. "A closer look at the Spatial Durbin Model," ERSA conference papers ersa05p392, European Regional Science Association.
    17. Revelli, Federico, 2006. "Performance rating and yardstick competition in social service provision," Journal of Public Economics, Elsevier, vol. 90(3), pages 459-475, February.
    18. Alice Barreca & Rocco Curto & Giorgia Malavasi & Diana Rolando, 2022. "Energy Retrofitting for the Modern Heritage Enhancement in Weak Real Estate Markets: The Olivetti Housing Stock in Ivrea," Sustainability, MDPI, vol. 14(6), pages 1-24, March.
    19. Claude Diebolt, 2022. "Regard rétrospectif et cliométrique sur une étape de la construction européenne – Les activités innovantes : 1981-2001," Bulletin de l'Observatoire des politiques économiques en Europe, Observatoire des Politiques Économiques en Europe (OPEE), vol. 46(1), pages 5-17, September.
    20. Bode, Eckhardt, 2001. "Is regional innovative activity path-dependent? An empirical analysis for Germany," Kiel Working Papers 1058, Kiel Institute for the World Economy.

    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:sae:envira:v:31:y:1999:i:1:p:165-180. 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: SAGE Publications (email available below). General contact details of provider: .

    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.