Throughout the first three days of the Republican National Convention, officials have highlighted a surge in what they call “migrant crime.” President Biden “has welcomed into our country rapists, murderers, even terrorists, and the price that we have paid has been deadly,” Gov. Greg Abbott of Texas claimed last night. The day before, Senator Ted Cruz of Texas said, “Every day, Americans are dying” in crimes committed by migrants. Donald Trump has made similar remarks on the campaign trail.

But there is no migrant crime surge.

In fact, U.S. rates of crime and immigration have moved in opposite directions in recent years. After illegal immigration plummeted in 2020, the murder rate rose. And after illegal immigration spiked in 2021 and 2022, murders plateaued and then fell.

Over a longer period, there is no relationship between immigration and crime trends. The number of foreign-born Americans has increased for decades, while the murder rate has gone up and down at different times, as these charts by my colleague Ashley Wu show:

Yes, some migrants have committed violent crimes. There are more than 45 million immigrants in the U.S., and invariably some of them — just like people of any other group — will do bad things. Similarly, thousands of native-born Americans commit violent crimes in any given week.

Trump and other Republicans have suggested that immigrants are especially likely to be criminals. They point to a few anecdotes. But the data shows the opposite: Immigrants are less likely to commit crimes. There are genuine issues with the border and illegal immigration, but more crime is not one of them.

If more immigration led to more crime, you would expect that crime rates would spike along with immigration flows, locally and nationally. The statistics would show that migrants were disproportionately likely to commit criminal or violent acts. Instead, the opposite is true.