Space-time dependence dynamics for birth-death point processes
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http://dx.doi.org/10.1016/j.spl.2008.03.012 |
Metadatos
Título
Space-time dependence dynamics for birth-death point processesFecha de publicación
2008Editor
ElsevierISSN
0167-7152Cita bibliográfica
Statistics and Probability Letters, 78, 16, p. 2715-2719Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionResumen
This paper analyses the space-time interdependency of a spatially explicit birth-death process based on the intensity function. Based on intensity functions, these formulations can be, to some extent, analytically ... [+]
This paper analyses the space-time interdependency of a spatially explicit birth-death process based on the intensity function. Based on intensity functions, these formulations can be, to some extent, analytically solved to obtain the explicit formulae of, for instance, the total point population size contained in the unit torus at equilibrium. The definition of continuous space-time processes based on point intensities opens up new promising lines of research to analyse ecological dynamics: our spatially explicit birth-death process can be easily expanded to mimic other realistic ecological scenarios. Note that although space-time stochastic processes are (generally) intractable, theoretical development of their corresponding intensity function provides useful insights into these complex dynamics. Hence, the analytical analysis of the point intensity provides a complementary method to simulation-based analyses of complex space-time processes. © 2008 Elsevier B.V. All rights reserved. [-]
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