ALAMOGORDO, N.M. — A man who investigators said fatally shot an Alamogordo police officer had pointed a gun at officers as they were trying to take him into custody during a foot chase for having outstanding arrest warrants.

New Mexico State Police released a detailed account Sunday in the investigation into the death of Officer Clint Corvinus.

The chase began Friday morning after Corvinus and another officer recognized Joseph Moreno, 38, of Alamogordo as being a fugitive who had outstanding arrest warrants. The warrants were for charges of burglary, controlled-substance possession and driving with a suspended license.

Investigators said Moreno reached into a bag during the chase, pulled out a .357 revolver and pointed it at the two officers. The second officer shot Moreno, who while on the ground fired several shots and fatally struck Corvinus.

Moreno then resumed the foot chase and fired shots at the second officer, who fatally shot Moreno.

Authorities said Moreno had been arrested in the past for armed robbery, aggravated burglary, controlled-substance possession, firearms possession by a felon and contributing to the delinquency of a minor.

Corvinus, 33, is survived by an 8-year-old daughter, his parents and girlfriend.

Corvinus’ death marks the second fatal shooting of a police officer in a rural area of New Mexico in less than a month. Three weeks ago, authorities said an Ohio fugitive killed Officer Jose Chavez during a traffic stop in Hatch, a village about 100 miles west of Alamogordo.

The case and other recent events have led to renewed calls from Gov. Susana Martinez, a Republican and former prosecutor, to reinstate New Mexico’s death penalty. Lawmakers repealed it in 2009 before Martinez took office.

The governor said she would back legislation for capital punishment when the Legislature convenes in January.