While Global Warming is real...
While I don't doubt Global Warming as a result of human culture is real, and that island nations like this one will indeed likely be submerged within the next century due to the melting of glaciers, according to Wikipedia, average sea level has risen only 2 inches from 1993 to 2009. That hardly seems like enough to be the cause of this people's woes.
I think some of the other posters here are correct when they point to the causes being other things, albeit no less as a result of human development. It's articles like these that give those that would deny climate change ammunition.
Oh, and another thing. You should have at least put the work "sink" in the headlines in quotes, unless the foundation of the island is indeed sinking. It's quite misleading. I assume that the proposition here (no matter how faulty) is that all the problems are supposedly due to higher sea levels and not "lower ground".