LODI — Lodi police on Friday were investigating the city’s first homicide of the year after a man died a day after being shot in the head.The 34-year-old victim was shot in the 200 block of East Vine Street, just north of Blakeley Park, at about 10 p.m. Wednesday, police said.The victim was taken to San Joaquin County General Hospital, where he had been listed in critical condition.