The Daily Corinthian reports Dalton declined to comment about his resignation.
Board members serve five-year terms. The city of Corinth and Alcorn County, which jointly own the Crossroads Arena, are each allowed three appointments to the board with one of the seven spots being jointly appointed. Dalton was a city of Corinth appointment.
Corinth Mayor Tommy Irwin said the city will fill the board seat within the next two weeks.
Wednesday's board meeting was the first without the vice chairman who had been part of the group nearly six years.
"I am going to miss him," said board chairman Hardwick Kay. "Alva brought a lot of good experience and served the board well."
The board has taken on a different look over the past year. Longtime board member Bill Strickland was replaced by Joe Franks when his term expired in August 2012. Franks' seat was filled by his wife, Sharon, when he died in December.
The board now consists of city-appointed Phyllis Keith-Young and Sam Tull. County representatives are Kay, Thom Rogers and Jane Clark Summers. Franks is the joint appointment.