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When is a matrix a geographical network?

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  • Neal, Zachary P.
  • Derudder, Ben
  • van Meeteren, Michiel

Abstract

All geographical networks can be represented as matrices, but not all matrices in geography represent networks. In this paper, we argue that a matrix must have at least three properties to represent a geographical network. First, the rows and columns must represent nodes defined at a scale that is relevant for the relationship of interest. Second, the matrix entries must represent relationships between nodes that have significance beyond dyads. Third, the values of the matrix entries must be accompanied by evidence or a rationale that they are a valid operationalization of the theoretical relationship of interest. We illustrate the relevance of the three properties through examples from the city networks literature. This contribution will guide scholars to evaluate whether a network analysis of their spatial data matrix is advisable.

Suggested Citation

  • Neal, Zachary P. & Derudder, Ben & van Meeteren, Michiel, 2022. "When is a matrix a geographical network?," OSF Preprints 6jhzm, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:6jhzm
    DOI: 10.31219/osf.io/6jhzm
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    References listed on IDEAS

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    1. Roberta Capello, 2000. "The City Network Paradigm: Measuring Urban Network Externalities," Urban Studies, Urban Studies Journal Limited, vol. 37(11), pages 1925-1945, October.
    2. Ate Poorthuis & Matthew Zook, 2020. "Being Smarter about Space: Drawing Lessons from Spatial Science," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 110(2), pages 349-359, March.
    3. Evert Meijers & Martijn Burger & Michiel Meeteren & Zachary Neal & Ben Derudder, 2016. "Disentangling agglomeration and network externalities: A conceptual typology," Papers in Regional Science, Wiley Blackwell, vol. 95(1), pages 61-80, March.
    4. Ben Derudder & Lomme Devriendt & Frank Witlox, 2007. "Flying Where You Don'T Want To Go: An Empirical Analysis Of Hubs In The Global Airline Network," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 98(3), pages 307-324, July.
    5. Neil M. Coe & Peter Dicken & Martin Hess, 2008. "Global production networks: realizing the potential," Journal of Economic Geography, Oxford University Press, vol. 8(3), pages 271-295, May.
    6. Roberto Patuelli & Aura Reggiani & Sean Gorman & Peter Nijkamp & Franz-Josef Bade, 2007. "Network Analysis of Commuting Flows: A Comparative Static Approach to German Data," Networks and Spatial Economics, Springer, vol. 7(4), pages 315-331, December.
    7. Martijn J. Burger & Frank G. van Oort & Bert van der Knaap, 2010. "A Treatise on the Geographical Scale of Agglomeration Externalities and the MAUP," SCIENZE REGIONALI, FrancoAngeli Editore, vol. 9(1), pages 19-39.
    8. Garrett Dash Nelson & Alasdair Rae, 2016. "An Economic Geography of the United States: From Commutes to Megaregions," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-23, November.
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