It looks like the replacement you're talking about is actually not true. The numbers that are immigrating is declining across the board.
http://www.pewhispanic.org/2015/09/15/the-impact-of-slowing-...
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Did you read your own link? I think you made a conclusion that isn't in the data, unless I'm misreading something:
"Among all Latinos, there were 14.1 million immigrants in 2000. By 2005, that number reached 16.8 million, and by 2013, there were 19 million Latino immigrants in the U.S."
Even in the down-economy period (2005-2013), there was a net increase. And those numbers exclude their US-born children.
I did read it. But maybe I'm misinterpreting.
The same pattern is present among all Latino origin groups, though for three—Ecuadorians, Mexicans and Nicaraguans—the number of immigrants has declined since 2010 (for details, see Appendix Table A2).
The foreign-born share of Salvadorans, for example, fell from 76% in 2000 to 59% in 2013—the largest percentage point decline of any of the six largest Hispanic origin groups. Similarly, Dominicans, Guatemalans, and Colombians all had decreases of over 13 percentage points in their foreign-born shares over the same period. Mexicans, the nation’s largest Hispanic origin group, also saw a decline, though it was only 8 percentage points since 2000.