As should be obvious to anyone who thinks about it a bit, the environmental impacts of consuming a local food depends on how efficient your particular locale is at producing the particular food. One of the ironies of this insight is that areas that have more intensified livestock operations may, at least in some dimensions, be more environmentally friendly than areas with less intensified production (because greater intensity often means more efficient).
Some empirical support for these these insights was recently provided in an article by Misak Avetisyan, Tom Hertel, and Gregory Sampson just published in the journal Environmental and Resource Economics.
The abstract: