A spatially structured metapopulation model with patch dynamics

被引:29
|
作者
Xu, DS
Feng, ZL [1 ]
Allen, LJS
Swihart, RK
机构
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[3] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
[4] Purdue Univ, Dept Forestry & Nat Resources, W Lafayette, IN 47907 USA
关键词
metapopulation models; patch dynamics; spatially realistic models; fragmentation; persistence;
D O I
10.1016/j.jtbi.2005.08.012
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Metapopulation models that incorporate both spatial and temporal structure are studied in this paper. The existence and stability of equilibria are provided, and an extinction threshold condition is derived which depends on patch dynamics (patch destruction and creation) and metapopulation dynamics (patch colonization and extinction). These results refine threshold conditions given by previous metapopulation models. By comparing landscapes with different spatial heterogeneities with respect to weighted long-term patch occupancies, we conclude that the pattern of a landscape is of overwhelming importance in determining metapopulation persistence and patch occupancy. We show that the same conclusion holds when a rescue effect is considered. We also derive a stochastic differential equations (SDE) model of the Ito type based on our deterministic model. Our simulations reveal good agreement between the deterministic model and the SDE model. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:469 / 481
页数:13
相关论文
共 50 条
  • [41] Demographic response to patch destruction in a spatially structured amphibian population
    Cayuela, Hugo
    Besnard, Aurelien
    Quay, Ludivine
    Helder, Remi
    Lena, Jean-Paul
    Joly, Pierre
    Pichenot, Julian
    JOURNAL OF APPLIED ECOLOGY, 2018, 55 (05) : 2204 - 2215
  • [42] Evolution of Dispersal in a Structured Metapopulation Model in Discrete Time
    Kalle Parvinen
    Bulletin of Mathematical Biology, 2006, 68 : 655 - 678
  • [43] IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics
    Diele, Fasma
    Marangi, Carmela
    Ragni, Stefania
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 110 : 83 - 95
  • [44] HABITAT DESTRUCTION AND COEXISTENCE OF COMPETITORS IN A SPATIALLY REALISTIC METAPOPULATION MODEL
    MOILANEN, A
    HANSKI, I
    JOURNAL OF ANIMAL ECOLOGY, 1995, 64 (01) : 141 - 144
  • [45] Assessing the roles of patch quality, area, and isolation in predicting metapopulation dynamics
    Fleishman, E
    Ray, C
    Sjögren-Gulve, P
    Boggs, CL
    Murphy, DD
    CONSERVATION BIOLOGY, 2002, 16 (03) : 706 - 716
  • [46] EFFECTS OF PATCH CONNECTIVITY AND ARRANGEMENT ON ANIMAL METAPOPULATION DYNAMICS - A SIMULATION STUDY
    WU, JG
    VANKAT, JL
    BARLAS, Y
    ECOLOGICAL MODELLING, 1993, 65 (3-4) : 221 - 254
  • [47] Sheep scab transmission: a spatially explicit dynamic metapopulation model
    Nixon, Emily
    Brooks-Pollock, Ellen
    Wall, Richard
    VETERINARY RESEARCH, 2021, 52 (01)
  • [48] Sheep scab transmission: a spatially explicit dynamic metapopulation model
    Emily Nixon
    Ellen Brooks-Pollock
    Richard Wall
    Veterinary Research, 52
  • [49] Metapopulation responses to patch connectivity and quality are masked by successional habitat dynamics
    Hodgson, Jenny A.
    Moilanen, Atte
    Thomas, Chris D.
    ECOLOGY, 2009, 90 (06) : 1608 - 1619
  • [50] DYNAMICS AND OPTIMAL CONTROL FOR A SPATIALLY-STRUCTURED ENVIRONMENTAL-ECONOMIC MODEL
    La Torre, Davide
    Liuzzi, Danilo
    Malik, Tufail
    Sharomi, Oluwaseun
    Zaki, Rachad
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,