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Spatial Science and Network Science: Review and Outcomes of a Complex Relationship

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Abstract

For decades, the spatial approach to network analysis has principally focused on planar and technical networks from a classic graph theory perspective. Reference to models and methods developed by other disciplines on non-planar networks, such as sociology and physics, is recent, limited, and dispersed. Conversely, the physics literature that developed the popular scale-free and small-world models pays an increasing attention to the spatial dimension of networks. Reviewing how complex network research has been integrated into geography and regional science reveals a high heterogeneity among spatial scientists as well as key directions for increasing their role inside multidisciplinary researches on networks.

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Notes

  1. Without being exhaustive, the following software packages do not know the alpha, beta, etc. indices: Ucinet, Pajek, Tulip, Gephi, igraph (R package), statnet (R package), and blockmodeling (R package).

  2. Barabási (2002) recognized that cities connecting thousands of highways simply do not exist, thereby recognizing implicitly physical constraints to network growth.

  3. Spatial networks are also coined geographical networks, technological networks, infrastructure networks, ad-hoc networks, or physical networks in the literature.

  4. See for instance the SPANGEO I project (Spatial Networks in Geography) based on active collaboration between geographers and computer scientists around the TULIP software (http://s4.csregistry.org/SpanGeo). It is currently followed up through the SPANGEO II project (http://www.unil.ch/igul/page82579.html), with more emphasis on simulation methods. The FMR Research Group on networks organizes a yearly seminar welcoming specialists of networks as well as young scholars from all academic disciplines since 2010 (http://halshs.archives-ouvertes.fr/view_by_stamp.php?label=FMR&action_todo=home&langue=en)

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Acknowledgments

The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement n. [313847] “World Seastems”.

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  1. French National Centre for Scientific Research (CNRS), UMR 8054 Géographie-Cités, Paris, France

    César Ducruet

  2. UMR 6266 IDEES, Rouen, France

    Laurent Beauguitte

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Ducruet, C., Beauguitte, L. Spatial Science and Network Science: Review and Outcomes of a Complex Relationship. Netw Spat Econ 14, 297–316 (2014). https://doi.org/10.1007/s11067-013-9222-6

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