Modeling SAR origin-destination flows?

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I would like to model SAR Origin-Destination (migration) flows using [the model specification proposed by LeSage & Pace] (http://www4.fe.uc.pt/spatial/doc/lecture7.pdf) (p.8, equation [10]):

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Where o stands for origin and d for destination.

I think one could call this model a spatial autoregressive interaction model.

What is crucial about the model is, that we have the spatially lagged responses of the origin AND the destination, as well as the spatially lagged predictors of the origin AND the destination in the SAR equation.


  • Do you have any ideas how to implement such a model in R?
  • Is there a way to specify a spdep::lagsarlm in that specific or at least in a similar way or should I use a different package/function? As far as I can see there spdep::lagsarlm allows only for ONE listw argument.
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