The review mentioned in the post didn’t, although I’ve only looked at 2 studies on the dose-response relationship.
Edit: Actually, the review mentioned in the post didn’t seem to really test the shape of the dose-response relationship, I think they just assumed mortality risk had an inverse linear relationship with the natural log with the amount of exercise.
One review found the relationship between physical activity and mortality to be linear. Does anyone have any ideas as to why this review found such a relationship while others didn’t?