Do multiple light equal multiple lumens?

[Dusty Ol' Man]

Thanks for the answers. The space each lamp is lighting is small. One is 18" high from rack to peak where the lamp is, and the rack is 18"x30". The lower space is only 12 " high. I'm adding a second lamp to illuminate the smaller space. Obviously, the smaller space will be for mini catts, the upper space will have a couple larger cats and a terete vanda that can be hung very close to the lamp. Lights are from the Orchid Hobbyist.