Indentured Servitude in Europe and the Americas...

When did indentured servitude as a widespread phenomena die out in Europe? I know that it was in place in the early 1600s, because the first blacks in Jamestown came over as indentured servants, not as slaves. But when did it die out in Europe, and when did immigrants stop coming as indentured servants to America (and Canada, if that happened)?

Also, did enslaving other Europeans die out -- with the coming of Christianity, or when Africa was opened up to exploration and exploitation and there was suddenly a new and cheaper supply of slaves?

I'm thinking of writing a Marvel-1602, and I think that would greatly influence the story.