Very complicated question to answer, because every buck is an individual. First, many bucks spend their summer months in a bachelor group far from their fall range. They leave their summer bachelor group range and head back to their fall range right around antler velvet shedding. Once in their fall range, they might just expand their range once the rut hits, often doubling the size of their range. However, some bucks pick up and leave their fall range and move to a temporary rut-season range, which they inhabit during the 5-6 weeks of breeding, then head back to their fall range.
Monitoring private properties with trail-camera from mid-summer through deer season, I often a see a couple of periods when bucks suddenly appear or leave the property causing a serious change in the population of bucks using the property. The first is the forementioned antler velvet shedding, when bucks leave their summer range and move to their fall range. Then a second period is just before the rut - in Middle TN it's usually the last week of October and first week of November. Th third period is post-rut. Again, in Middle TN that's usually first or second week of December.