I have had most of my luck during the 2nd week. I have never hunted the first week, because in the northern part of the state where I hunt weather is too much of a factor. I would say most guys have the best luck in seasons 1-3. After that, birds are harder to hunt, especially in heavily pressured areas. You can still get birds during the later weeks, but it usually becomes more of a waiting game rather than that intense calling that a lot of guys like. Then again, it all depends on the birds and how they are feeling...
best of luck...