Laurent, Thibault, Margaretic, Paula and Thomas-Agnan, Christine (2022) Generalizing impact computations for the autoregressive spatial interaction model. TSE Working Paper, n. 22-1357, Toulouse

Preview

Text Download (1MB) | Preview

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 non-cartesian 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.