title: Multivariate product-shot-noise Cox point process models.
abstract: We introduce a new multivariate product-shot-noise Cox process which is useful for modeling multi-species spatial point patterns with clustering intra-specific interactions and neutral, negative, or positive inter-specific interactions. The auto- and cross-pair correlation functions of the process can be obtained in closed analytical forms and approximate simulation of the process is straightforward. We use the proposed process to model interactions within and among five tree species in the Barro Colorado Island plot.
authors.affiliation: Department of Statistics, Razi University, Bagh-e-Abrisham, Kermanshah 67149-67346, Iran.
authors.forename: Abdollah
authors.initials: A
authors.lastname: Jalilian
authors.affiliation: Department of Management Science, University of Miami, Coral Gables, Florida 33124-6544, U.S.A.
authors.forename: Yongtao
authors.initials: Y
authors.lastname: Guan
authors.affiliation: Department of Mathematics, Universitat Jaume I, Castellón E-12071, Spain.
authors.forename: Jorge
authors.initials: J
authors.lastname: Mateu
authors.affiliation: Department of Mathematical Sciences, Aalborg University, Fredrik Bajersvej 7G, DK-9220 Aalborg, Denmark.
authors.forename: Rasmus
authors.initials: R
authors.lastname: Waagepetersen
mesh_terms: D001699:Biometry / Q000379:methods; D017753:Ecosystem; D016014:Linear Models; D008954:Models, Biological; D015233:Models, Statistical; D015999:Multivariate Analysis; D016011:Normal Distribution; D016016:Proportional Hazards Models; D013045:Species Specificity; D014197:Trees
keywords: Cox process; Cross-pair correlation function; Inter-specific interactions; Multivariate point process; Product fields