Robert Warren, a former INS demographer whose work was a part of that 1997 report, told PolitiFact that immigration trends had changed over the years. Since 2008, there are more immigrants overstaying their visas than crossing the border illegally, but there are fewer illegal immigrants in the country overall. The generally agreed upon total of illegal immigrants in the United States now is about 11 million, down from a high of 12 million in 2007.
So your source is that "some guy said it"? I went and looked up that guy and the study, wasn't able to find the actual figures. Would be nice if you could provide them. What I did find was
this report that tries to detail the ratio between visa overstays and undocumented illegals. The problem, of course, is that no report seems to be able to provide any concrete data on the population of "undocumented illegals" that cross the border for the simple fact that these people simply don't "check in" at the border to report themselves, and the numbers coming in are - at best - an educated guess, with the word "educated" being used very, very loosely.
And from Pew Research:
The largest wave of immigration in history from a single country to the United States has come to a standstill. After four decades that brought 12 million current immigrants—most of whom came illegally—the net migration flow from Mexico to the United States has stopped and may have reversed, according to a new analysis of government data from both countries by the Pew Hispanic Center, a project of the Pew Research Center.
The standstill appears to be the result of many factors, including the weakened U.S. job and housing construction markets, heightened border enforcement, a rise in deportations, the growing dangers associated with illegal border crossings, the long-term decline in Mexico’s birth rates and broader economic conditions in Mexico.
I went to the Pew article on this. It states:
Overall, migration flows between the U.S. and Mexico have slowed down. But the net flow from Mexico to the U.S. is now negative, as return migration of Mexican nationals and their children is now higher than migration of Mexicans heading to the U.S. These new findings are based on Pew Research Center estimates using U.S. Census Bureau surveys to measure inflow of Mexican immigrants to the U.S. and the National Survey on Demographic Dynamics (ENADID) from Mexico’s chief statistical agency (INEGI), which measures the number of Mexican immigrants who have moved back to Mexico after living in the U.S. between 2009 and 2014.2
Ah. This information was obtained by using U.S. Census data (illegal Mexicans fill out census data now?) and data from Mexico's chief statistical agency (which would never have any motivation to overstate returns to Mexico, or understate immigrants going to the US, right).
Oddly enough, clicking the "source" "2" on that says this:
The latest U.S. Census Bureau data for 2014 and 2015 indicates that the number of Mexican immigrants in the U.S. may have increased, suggesting a growing inflow of Mexican immigrants.
Let me know when you have a reliable source of real data and not a bunch of wobbly assumptions. Until then, your assumption that visa overstays
vastly outnumber illegals crossing the border is, I'm afraid, unsubstantiated.