A NONSTATIONARY CYLINDER- BASED MODEL DESCRIBING GROUP DISPERSAL IN A FRAGMENTED HABITAT

作     者：Soubeyrand, Samuel Mrkvicka, Tomas Penttinen, Antti 

作者机构：INRA Biostat & Spatial Proc BioSP UR546 F-84914 Avignon France Univ South Bohemia Fac Econ Dept Appl Math & Informat Ceske Budejovice Czech Republic Univ Jyvaskyla Dept Math & Stat SF-40351 Jyvaskyla Finland 

出 版 物：《STOCHASTIC MODELS》 (随机性模型)

年 卷 期：2014年第30卷第1期

页      面：48-67页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 

基　　金：Plant Health and Environment division of INRA [2010-546-1] Grant Agency of Czech Republic [P201/10/0472] GDR GeoSto 

主　　题：Boolean model Dispersal Fragmentation Object-based model Population vanishing Random cylinder Spatial extent 60D05 60G60 60G55 60K37 60K99 92D25 92D30 92D40 

摘      要：A doubly nonstationary cylinder-based model is built to describe the dispersal of a population from a point source. In this model, each cylinder represents a fraction of the population, i.e., a group. Two contexts are considered: The dispersal can occur in a uniform habitat or in a fragmented habitat described by a conditional Boolean model. After the construction of the models, we investigate their properties: the first and second order moments, the probability that the population vanishes, and the distribution of the spatial extent of the population.