Wow! I hike for experiences like that! I'm so jealous!
Sardog's rules about bear behavior is spot on, but it also applies to moose.
I'm amused by some of the respondents who ridicule anyone who believes that the bear was chasing the moose, escpecially Olive and JB. JB is a perfect example of an idiot scientist, of which there are plenty. He is sure the two events are unrelated!
The moose appears, looks back in the direction, runs across the river, the bear appears a moment later in the same spot, runs right where the moose ran, then the hiker follows both animal's tracks down the trail and finds that both tracks left the trail in the same spot, but our "expert" tells us that the two events are unrelated! It must be some incredible coincidence because JB's professors, peers and textbooks say that bears don't chase moose. The elitist JB has never seen a bear chase a moose. Therefore, it did not happen, and he tries to silence dissent by pulling rank with his resume and ridiculing anyone who goes against the academic grain. He reminds me of the over-paid elitist snobs that I endured for so long at URI.
These "scientists" have resumes yet they do not understand the very essence of scientific inquiry. They are not inquisitive. Instead, they use their resume to assume a level of superiority. The resume is not proof that he is correct. Show me the list of great scientists in history who made discoveries while ignoring, with condecension, any thoughts contradictory to popular established scientific "facts".