How does Poland count?
Can't speak for Europe, but at least in Sweden the second generation is clearly integrating on average. That includes less children.
But you're right that they increase the number by around 40% in Stockholm (using the old definition of being second generation immigrant if one parent is an to immigrant) to around 37% (Stockholm is above average). I think total number is about 21% for "Swedes with foreign backround" that category. Debatable source, but I don't think they felt need to lie about that.
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