Extreme value models play an important role in assessing the risk to b
uildings caused by high wind speeds. However, standard procedures take
no account of the directional behaviour of the wind. In this paper th
e extremal properties of the wind process are modelled as a function o
f direction. This requires the adaptation of techniques which have rec
ently been developed for the study of spatial extremes. In particular,
fitting techniques are required which account for dependence across d
irections, and, for joint probability statements, a model for the depe
ndence itself is required.