Generalizing Impact Computations for the Autoregressive Spatial Interaction Model

Thibault Laurent, Paula Margaretic and Christine Thomas-Agnan
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Thibault Laurent: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Paula Margaretic: Universidad Adolfo Ibáñez [Santiago]

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Abstract: We extend the impact decomposition proposed by LeSage and Thomas-Agnan (2015) in the spatial interaction model to a more general framework, where the sets of origins and destinations can be different, and where the relevant attributes characterizing the origins do not coincide with those of the destinations. These extensions result in three flow data configurations which we study extensively: the square, the rectangular, and the noncartesian cases. We propose numerical simplifications to compute the impacts, avoiding the inversion of a large filter matrix. These simplifications considerably reduce computation time; they can also be useful for prediction. Furthermore, we define local measures for the intra, origin, destination and network effects. Interestingly, these local measures can be aggregated at different levels of analysis. Finally, we illustrate our methodology in a case study using remittance flows all over the world.

Date: 2023-10
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Published in Geographical Analysis, 2023, 55 (4), pp.728-758. ⟨10.1111/gean.12358⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04355089

DOI: 10.1111/gean.12358

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