Hi List,
This question has come up with the past, but I have yet to find a
clear response, so I'm going to ask myself.
Has anyone had much experience with spatial interaction models,
specifically in the form of Poisson regression?
I'm a bit unsure of how to operationalize this using glm(), and would
appreciate any pointers from those with more experience.
Basically, the conventional origin constrained model would look
something like this:
T_{ij} = exp(\delta_{i} + \log{A_{j}} - \beta D_{ij}) ~ \varepsilon_{ij}
where \delta_{i} is a constant parameter speci?c to the ith zone,
A_{j} is the attractiveness of the jth location, and D_{ij} is the
distance between i and j.
Note that \varepsilon_{ij} is just the multiplicative error term of
the ?ow from i to j, and \beta is the distance decay parameter.
Similarly, the doubly constrained model follows the form:
T_{ij} = exp(\delta_{i} + \gamma_{j} - \beta D_{ij}) ~ \varepsilon_{ij}
where everything is defined as above, except exp(\gamma_{j}) is an
estimate of the attractiveness of location A_{j}.
Hopefully the above description makes things a bit clearer,
essentially my question is this:
What factors or in what form do I have to have my data in order to be
able to run such a model following the glm syntax?
I know this should be relatively straight-forward, I just can't seem
to get my head wrapped around it at the moment?
If it helps, I can provide some sample data to those who request it.
Thanks in advance,
Carson
Carson J. Q. Farmer ISSP Doctoral Fellow National Centre for Geocomputation National University of Ireland, Maynooth, http://www.carsonfarmer.com/