Your data is a book? How about a snippet on the stratification.
Here is an interview with one of the authors, where they talk about many things including the children the people who came in without papers but were covered by the 1986 amnesty.
https://immigrationlab.org/2022/06/16/streets-of-gold/
"The children in our modern data were born in the early 1980s, and so it is likely that many of their parents (even if they arrived without papers) were able to take advantage of the 1986 Immigration Reform and Control Act (IRCA), a law that granted amnesty to undocumented immigrants, giving them an opportunity to become legal citizens. As a result, most of the children in our data were raised by permanent residents or full fledged U.S. citizens, and likely had the opportunity to become citizens themselves. In this way, the modern data reveal what would be possible today for the children of undocumented parents if they had a path to citizenship.
We find striking similarities between past and present in many dimensions. For example, it also is true today that children of immigrants are more upwardly mobile than those who grew up in economically similar households with U.S.-born parents. And this is true of almost every sending country today, including poorer ones like El Salvador, Mexico, and Laos, just as it held across the sending countries of the past. Today, children whose parents came from Mexico or the Dominican Republic are just as likely to move up from their parents’ circumstances as were children of poor Danes and Swedes one hundred years ago.
How do we know this? To compare children from these two sets of low-income families, we first need data that links parents and children, so that we can pinpoint the family’s resources during childhood. For the historical data, we use census records to link sons when they were living in the family home to their status in the census thirty years later, when they had jobs. In the modern data, we use federal income tax data, which was assembled by the research group Opportunity Insights. This data allows us to link children as tax dependents in the 1980s to their own tax returns in the 2010s.
Why do many Americans have the wrong impression of this? Perhaps because they think of the past European immigrants with nostalgia and long-term perspective. Today’s immigrants are coming from all over the world and from poorer countries. The narrative is that those coming from poverty and very different cultures will remain poor. Many thought the same thing a century ago about Italian or Irish immigrants. Over and over again we see the same concerns about immigrants, just targeted at different groups."