The looming closure of the United States Postal Service’s distribution center in Petaluma will slow down service and could affect not just letters but medication delivery and voting by mail, according to local Congressional representatives and North Bay residents.

The closure is part of the newest phase of a nationwide consolidation of postal service distribution centers, a plan the U.S.P.S. calls “network rationalization.” (The shift also entails the closure of a Eureka plant that serves…