I have a dataset with distances between beneficiaries and the nearest provision point (nearest hub).

I want to develop a model to explain distances based on several atrributes like category of beneficiary, category of provision point among others:

distance ~ cat_beneficiary + cat_provision + altitude + ...

I guess I should use a GLM, but I don't know which model would fits better with this kind of data (continuos and positive). Can I use a count data model (like Poisson or NB)? Or they just work with discrete data?

I attach a histogram.

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