Closed Top Board On Board Wood Privacy Fence. Eastern White Cedar Board on Board Wood Fencing gives a fully closed fence surface look and offers full privacy visually. The added value of board on board wood fencing is due to the fact that that the fence boards are fastened to one central nailer and alternate sides board by board, breezes are allowed to gently pass through with less resistance. This puts less stress on the integrity of the fence while offering greater comfort in the warm weather. Standard back rails are SPF or optional cedar back rails.