Archiving post Web 2.0

Interesting in the Observer: 

"Websites 'must be saved for history' The British Library's head says that deleting websites will make job of historians harder".

It's true: what happens if all newspapers go online-only (as some predict)? Where does all that history-in-the-making get archived? Good question for a newspaper's archivist if they have them, or the British Library.