regional tournament; local competition
A tournament or competition held at a regional level, often a qualifier for a national event. Common in sports and academic contests.
He won the regional tournament and secured a spot in the national competition.
This year's local competition will be held next month at the prefectural gymnasium.
全国大会 is a national-level tournament, while 地方大会 is a regional or local competition, often a preliminary round.
予選 refers to qualifying rounds in general, whereas 地方大会 specifically denotes a regional tournament, which may serve as a qualifier.
Compound of 地方 (ちほう, 'region') and 大会 (たいかい, 'tournament, convention').