The Luna County Detention Center holds 590 inmates at maximum capacity. As of Wednesday morning, just over 200 people were locked inside the jail in Deming, about 30 miles north of the Mexican border. Shauna Smith, a 43-year-old mother who has been incarcerated there since October, said the inmate population has been steadily thinning since the coronavirus pandemic began sweeping across New Mexico in early March. The county of roughly 24,000 people has seen just 347 tests for COVID-19, the respiratory illness caused by the virus, with three positive results as of Wednesday, according to the state Health Department. Like so many other jails and prisons around the state, few of those tests were performed at the Luna County Detention Center — four inmates and three staff members, all of whom were negative.