How did Hudson meet his end?

In 1611 mutineers set British explorer Henry Hudson adrift in James Bay in a 20-30ft shallop with eight loyal crew following an attempt to find the North West Passage.

They were skilled mariners and had stores and gear (or so the mutineers said) but were never seen again, and no trace has been found.

So what happened? The weblog Ottowa Rewind has a theory.