Does restricting immigration improve economic performance?

There are a lot of studies looking at the economic impacts of immigration, but what about the economic impacts of restricting immigration? Over the past few years, a lot of cities and counties have enacted restrictive laws, which creates a nice natural experiment of sorts: As an area becomes less friendly to immigrants, what happens to its economy?

Huyen Pham and Pham Hoang Van looked into this in a paper called "The Economic Impact of Local Immigration Regulation: an Empirical Analysis," and their answer, basically, is nothing good: