A space-time survival point process for a longleaf pine forest In Southern Georgia
A marked spatial point pattern of trees and their diameters is the result of a dynamic biological process that takes place over time as well as space. Such patterns can be modeled as realizations of marked space-time survival point processes, where trees are born at some random location and time and then live, grow, and produce offspring in a random fashion. A model for a marked space-time survival point process is fit to data from a longleaf pine (Pinus palustris) forest in southern Georgia. The space-time survival point process is divided into three components: a birth process, a growth process, and a survival process. Each of the component processes is analyzed individually, from which conclusions regarding the dynamic ecological processes can be made. By using this reductionist approach, questions concerning each individual process can be addressed that might not have been answerable otherwise.
Rathbun, S. & Cressie, N. A. (1994). A space-time survival point process for a longleaf pine forest In Southern Georgia. Journal Of The American Statistical Association, 89 (428), 1164-1174.