I am fairly sure it is this species as it consistent with the description in VoI II of the Flora. However the leaf dimensions (0.4 -0.7 mm wide) given in the both the key and description appear to be wrong. In Vol III of the Flora no leaf dimensions are given in the key. The description in "Above the Treeline "states "Forms cushions similar to those of Luzula pumila but their leaves are narrower and quotes the same dimensions (<0.7 vs >0.7 mm wide) as those given in Vol II of the Flora. Image 3 p318 in "Above the Treeline" is captioned L. pumila, Old Man Ra, 1600 m appears to be of this plant rather than L. pumila. In my experience this species appears to be found predominantly in bogs rather than in the cushionfield as stated in "Above the Treeline". I am inclined to think the plant illustrated as L. crenulata on the NZPCN website is not this but something else, possibly, L. colensoi but given the difficulty of identifying these dwarfed, high alti