And here is an example that explains that they can fly up to a half mile in search of food. So it seems they only fly if food is not available. http://www.clemson.edu/extension/livestock/livestock/camm/camm_files/poultry/pch10c_03.pdf
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You need to put the suckers in isolation, starve them, then dangle a potato a meter above them, and see if they fly to it.