Tanner's "The Ivory-billed Woodpecker" contains some interesting information about finding Ivory-bills. From page 22:
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...Early morning is the best time of day to look for Ivory-bills as the birds are more active then, moving more and calling frequently. The most effective way to hunt at that time of day is to move rapidly for about a quarter mile, stop and listen for a minute or more, and move on again, going through the most likely localities and trying to cover much ground while the birds are calling...
All the Ivory-bills I have ever seen I have located first by hearing them call and then going to them. Under good conditions--no wind and few leaves on the trees--the loud call of an Ivory-bill can be heard for almost a quarter of a mile. Sometimes the best way to hunt is to sit still in a good locality and listen for many minutes at a time...
..The birds usually roosted in the same area every night and often in the same hole, and waiting for them to come off the roost in the morning was the best way to find them. Once they had come out of their holes and started off to feed, the task was to keep up with them. They usually traveled in pairs or larger family groups. When they started off on a flight, I would wait a moment, listening to see if they had stopped within earshot. Then I would start after them, usually running as best I could until I believed I was near the birds, when I would stop and listen for a moment. If I heard nothing, I went farther in the same direction, for they usually traveled in a straight line. When I decided that I had missed them somehow, it was time to circle in one direction or another in the hope of finding them again...
Two men working together in the same region can cover the woods more than twice as thoroughly as one man working alone; it is best to have each take half of the area that is to be covered and work at least a half mile apart.
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Again, Tanner's description of the Ivory-bills doesn't match the potential Cache River Ivory-bill reported by Cornell. Remember, they encountered a potential Ivory-bill 8-18 times there, but after a massive search, they said in their paper:
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No observer has positively heard or recorded nasal "kent" notes that are typical of the species.
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Tanner normally encountered pairs of Ivory-bills, but on page 33, he does write about a single male that lived in the Singer Tract for a couple of years. Tanner could routinely relocate this bird, like all the others, by hearing the bird's "kent" notes.