Many thanks for the further thoughts - the plot thickens. From photos I've been able to glean off the NZPCN site and elsewhere, what we have (there are in fact three of them, the first of which appeared in the middle of some deschampsia cespitosa and has all but killed it off) is not an obvious match for the suggested bromus types. Maybe I should also post a photo of the foliage en masse, which really is quite impressive and dark green. (Would be very helpful if someone could advise on how to post several photos at once.)