
Gibbs Mo dels 497
Figure 13.8. Inhomogene ous hard core process. Left: Simulated realisation of inhomogene ous
hard core process with
β
(x,y) = 500exp(−2(x + y)) and hard core diameter h = 0.0 5 in the unit
square. Right: kernel smoothed intensity estimate u sing Scott’s bandwidth selector.
the spatially varying ‘fertility’ which is c ounterbalanced by the ‘c ompetitive’ effect of the hard core
to give the final intensity. In spatstat documentation we refer to
β
(u) as the (first-order) trend.
Other terms used in the literatu re include ‘chemical activity’ and ‘fugacity’. When analysing spatial
point patterns of plants, for example, it is ...