Of course you will see it after any rough seas, that is how beaches get built up in the first place. That has been going on for thousands of years. But that is not what the article is talking about. The article is referring to the new (since 2011), consistent algae/seaweed (no rough seas required) pile ups on certain beaches and those mats floating around the sea in large living clumps, which has not been happening for thousands of years...
"Clumps of the brownish seaweed known as sargassum have long washed up on Caribbean coastlines, but researchers say the algae blooms have exploded in extent and frequency in recent years. The 2015 seaweed invasion appears to be a bumper crop..."
As Bnewb said, this is NOT happening in Negril. Come down and enjoy our beautiful Seven Mile Beach!