Good question. Ash plumes from eruptions pose a hazard to aircraft.
Large eruptions in Alaska can force aircraft to take alternative routes
between Asia and the US. I have not seen any reports about eruptions
influencing local weather. Fortunately, most volcanoes in Alaska are in
remote areas where population density is low. However, the recent eruptions
of Spurr and Augustine were close to population centers. Those eruptions
are their impact are described in detail on the homepage of the Alaska
Volcano Observatory. You might submit your question to them for a
more complete answer.
Steve Mattox, University of North Dakota
Source of information:
Casadevall, T.J., 1992, Volcanic hazards and aviation safety: Lessons of the
past decade,
FAA Aviation Safety Journal, 2 (3), p. 1-11.