Runway
From Lostpedia
The Others appeared to be constructing a runway or landing strip on Hydra Island by clearing a straight path of vegetation and rocks. The exact purpose of the runway is unknown; the only thing we have definitively seen it used for is hard labor. Juliet claimed that she did not know the purpose of the runway, but offered one (probably tongue-in-cheek) possibility: ("Through the Looking Glass")
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Facts
The runway was first shown when Sawyer and Kate were abruptly taken from their cages by a group of Others, under the leadership of Danny and Tom. They were assigned different tasks by Danny, who appeared to be the site's supervisor. Kate was forced to break apart rocks while Sawyer wheeled them to an unseen location. There appeared to be a number of other people performing similar jobs. ("The Glass Ballerina")
Danny also employed a very strict system of rules and punishments at the runway; he used a taser, previously employed by Juliet, to help keep Sawyer and Kate quiet and obedient. Juliet appeared to hold equal, if not greater, authority than Danny, as freely she offered Sawyer a drink from her canteen without any objection from Danny. ("The Glass Ballerina")
Alex sneaked into the runway site a second time, attempting to free Kate and Sawyer. She inadvertently set off an alarm and was quickly captured by Danny. Before being taken away, she managed to tell Kate, "Don't believe a word they say. They'll kill your boyfriend just like they did mine." ("I Do")
Later that day, Kate was brought to Jack in an attempt to convince him to perform a surgery on Ben. During their meeting, Jack asked her what they were doing at the work site. Kate responded that she did not know, "But it's something big". ("I Do")
After a deal was made that allowed Sawyer and Kate to escape, the Others seemed to have (at least temporarily) evacuated Hydra Island and ceased work at the runway.

