Sl. Rathbun et N. Cressie, A SPACE-TIME SURVIVAL POINT PROCESS FOR A LONGLEAF PINE FOREST IN SOUTHERN GEORGIA, Journal of the American Statistical Association, 89(428), 1994, pp. 1164-1174
A marked spatial point pattern of trees and their diameters is the res
ult of a dynamic biological process that takes place over time as well
as space. Such patterns can be modeled as realizations of marked spac
e-time survival point processes, where trees are born at some random l
ocation and time and then live, grow, and produce offspring in a rando
m fashion. A model for a marked space-time survival point process is f
it to data from a longleaf pine (Pinus palustris) forest in southern G
eorgia. The space-time survival point process is divided into three co
mponents: a birth process, a growth process, and a survival process. E
ach of the component processes is analyzed individually, from which co
nclusions regarding the dynamic ecological processes can be made. By u
sing this reductionist approach, questions concerning each individual
process can be addressed that might not have been answerable otherwise
.