What does "locally" mean?
“What does ‘locally’ mean?”
A hydrothermal explosion is only a danger within the particular area of the park where it occurs.
I was around for the Hebgen Lake Quake and that's pretty "local" to Yellowstone. It shook Yellowstone up pretty good and even changed the schedules of many geysers when underground "plumbing" got rearranged. It killed 27 campers when the side of a mountain peeled off and buried them while they were asleep. It created Quake Lake by damming a major stream. It was felt clearly several hundred miles away.
Earthquakes of all sizes can be expected in the entire Yellowstone region. Their time scale is very different than that of human beings, however, and during our puny, short lifespans we never seem to be truly aware of the constant danger beneath our feet -- except those of us who live in California and Alaska, maybe.
Mars and Venus will hardly notice the effects.
What does “locally” mean?
Northern Hemisphere?
Earth, Mars and Venus. Pluto, Saturn and the others should be fine.