I tend to walk when I'm trying not to attract wild pokemon but don't have a repel to use to accomplish that. Is this just a psychological thing or is the encounter rate actually lowered while walking vs. faster movement options?
EDIT: I have heard on various places on the internet (of questionable trustworthiness) that the encounter rate does change based on whether you're running or walking. I originally accepted the answer that it is not affected since it seemed confident, but I'm not so sure any more. If someone can backup that answer with evidence I'll re-accept it. I would really like to be confident in knowing the answer to this question one way or another.