A method and apparatus for generating hierarchical depth culling characteristics includes determining a first minimum depth value and a first maximum depth value for a first graphical element. The graphical element may be a primitive. The first minimum depth value may be a minimum Z-plane depth of a pixel within the primitive and a first maximum depth value is a maximum Z-plane value for a pixel within the primitive. The method and apparatus further includes determining a second minimum depth value and a second maximum depth value for a second graphical element, which may be a tile. The method and apparatus further includes calculating an intersection depth range having an intersection minimum depth value and an intersection maximum depth value based on the intersection of the first minimum depth value and the first maximum depth value and the second minimum depth value and the second maximum depth value.