ABSTRACT
A new aspect of spatial processes is the possibility of studying geometrical properties of the pattern of points. There are two rather different features distinguishing temporal from spatial processes. First, time is directional, whereas for a spatial process in one dimension it will often be required to treat the two directions left to right’ and right to left’ symmetrically. Secondly, many of the spatial processes that we shall consider occur not in one dimension, example along a line or on the circumference of a circle, but rather in some higher dimensional space. Nevertheless the spatial process is not determined by the set of nearest neighbour distances alone and the specification of a process via the complete set of distances and directions is in most cases unnatural. An alternative would be to aim for a transformation to operational time and to new spatial co-ordinates to induce stationarity.
