Following Anderson's withdrawal, under PDC Rule 3.7 the Scot is replaced by Webster, who was the next non-qualified player from the PDC Order of Merit - from which the Scot had qualified.
Webster is a direct replacement for Anderson in the draw bracket, meaning that the Welshman will take on Richard North in Monday's first round in Dublin.
Webster was a semi-finalist in the World Grand Prix two years ago on his most recent appearance in the double-start format, and also reached the quarter-finals on his debut in 2011.
* Sky Bet have confirmed that all bets involving Anderson will be voided - including the outright market and Price Boosts!
First Round (Best of three sets)
TV Channel: Sky Sports Main Event
Click here for full draw, schedule & results