If we are diving into this wonderful world of OC, one thing to mention at this point are superstitious behaviors. Make sure that you are only reinforcing the exact behavior that you want! It is possible for your subject to be doing the desired behavior but also exhibiting other undesired behaviors at the same time.
If we take the example above (which is excellent by the way, nice write up!), when that hawk is in that box for the first time reward that. But as stated it should be kept up with multiple session, and if you want a really strong behavior, even when it is a known behavior it should be done randomly all the time. During the sessions pay attention to the little behaviors as well, not just "the hawk is in the box". The hawk needs to be sitting nice, calm, quiet, and still. There are multiple criteria for a behavior to be correct.
We used to have 5+ sea lions that would line up at a fence, which allowed one trainer to feed 5+ sea lions at one time. One of them who's position was at the end and sort of in one's peripheral vision, would sometime get overlooked if the trainer wasn't paying attention. The lion learned real quick that if it moved it got the trainers attention. Now it has a huge problem with swaying back and forth the whole time it sits there, kind of obnoxious really.
-Oliver Connor
"Live a life uncommon."