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Volumn 14, Issue 4, 2004, Pages 1880-1919

A microscopic probabilistic description of a locally regulated population and macroscopic approximations

Author keywords

Deterministic macroscopic approximation; Equilibrium; Interacting measure valued processes; Nonlinear superprocess; Regulated population

Indexed keywords


EID: 26844479973     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051604000000882     Document Type: Article
Times cited : (244)

References (16)
  • 1
    • 0000044071 scopus 로고
    • Stopping times and tightness
    • ALDOUS, D. (1978). Stopping times and tightness. Ann. Probab. 6 335-340.
    • (1978) Ann. Probab. , vol.6 , pp. 335-340
    • Aldous, D.1
  • 2
    • 0031408804 scopus 로고    scopus 로고
    • Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
    • BOLKER, B. and PACALA, S. (1997). Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theoret. Population Biol. 52 179-197.
    • (1997) Theoret. Population Biol. , vol.52 , pp. 179-197
    • Bolker, B.1    Pacala, S.2
  • 3
    • 0032783836 scopus 로고    scopus 로고
    • Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal
    • BOLKER, B. and PACALA, S. (1999). Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal. The American Naturalist 153 575-602.
    • (1999) The American Naturalist , vol.153 , pp. 575-602
    • Bolker, B.1    Pacala, S.2
  • 4
    • 0001398884 scopus 로고    scopus 로고
    • Relaxation projections and the method of moments
    • (U. Dieckmann, R. Law and J. A. J. Metz, eds.). Cambridge Univ. Press
    • DIECKMANN, U. and LAW, R. (2000). Relaxation projections and the method of moments. In The Geometry of Ecological Interactions (U. Dieckmann, R. Law and J. A. J. Metz, eds.) 412-455. Cambridge Univ. Press.
    • (2000) The Geometry of Ecological Interactions , pp. 412-455
    • Dieckmann, U.1    Law, R.2
  • 5
    • 0001658655 scopus 로고
    • Measure-valued branching diffusions with singular interactions
    • EVANS, S. N. and PERKINS, E. A. (1994). Measure-valued branching diffusions with singular interactions. Canad. J. Math. 46 120-168.
    • (1994) Canad. J. Math. , vol.46 , pp. 120-168
    • Evans, S.N.1    Perkins, E.A.2
  • 7
    • 0002639718 scopus 로고
    • Weak convergence of sequences of semimartingales with applications to multi-type branching processes
    • JOFFE, A. and MÉTIVIER, M. (1986). Weak convergence of sequences of semimartingales with applications to multi-type branching processes. Adv. in Appl. Probab. 18 20-65.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 20-65
    • Joffe, A.1    Métivier, M.2
  • 9
    • 0000689775 scopus 로고    scopus 로고
    • Moment approximations of individual-based models
    • (U. Dieckmann, R. Law and J. A. J. Metz, eds.). Cambridge Univ. Press
    • LAW, R. and DIECKMANN, U. (2002). Moment approximations of individual-based models. In The Geometry of Ecological Interactions (U. Dieckmann, R. Law and J. A. J. Metz, eds.) 252-270. Cambridge Univ. Press.
    • (2002) The Geometry of Ecological Interactions , pp. 252-270
    • Law, R.1    Dieckmann, U.2
  • 10
    • 0041313947 scopus 로고    scopus 로고
    • Population growth in space and time: Spatial logistic equations
    • LAW, R., MURRELL, D. J. and DIECKMANN, U. (2003). Population growth in space and time: Spatial logistic equations. Ecology 84 252-262.
    • (2003) Ecology , vol.84 , pp. 252-262
    • Law, R.1    Murrell, D.J.2    Dieckmann, U.3
  • 12
    • 26844563668 scopus 로고
    • Sur les convergences étroite ou vague de processus à valeurs mesures
    • MÉLÉARD, S. and ROELLY, S. (1993). Sur les convergences étroite ou vague de processus à valeurs mesures. C. R. Acad. Sci. Paris Sér. I Math. 317 785-788.
    • (1993) C. R. Acad. Sci. Paris Sér. I Math. , vol.317 , pp. 785-788
    • Méléard, S.1    Roelly, S.2
  • 14
    • 26844436877 scopus 로고
    • Unsealed spatial branching processes with interaction: Macroscopic equation and local equilibrium
    • OLIVARES-RIEUMONT, P. and ROUAULT, A. (1991). Unsealed spatial branching processes with interaction: Macroscopic equation and local equilibrium. Stochastic Anal. Appl. 8 445-461.
    • (1991) Stochastic Anal. Appl. , vol.8 , pp. 445-461
    • Olivares-Rieumont, P.1    Rouault, A.2
  • 15
    • 0002770407 scopus 로고
    • A criterion of convergence of measure-valued processes: Application to measure branching processes
    • ROELLY, S. (1986). A criterion of convergence of measure-valued processes: Application to measure branching processes. Stochastics Stochastics Rep. 17 43-65.
    • (1986) Stochastics Stochastics Rep. , vol.17 , pp. 43-65
    • Roelly, S.1
  • 16
    • 26844513286 scopus 로고
    • Construction et propriétés de martingales des branchements spatiaux interactifs
    • ROELLY, S. and ROUAULT, A. (1990). Construction et proprié tés de martingales des branchements spatiaux interactifs. Internat. Statist. Rev. 58 173-189.
    • (1990) Internat. Statist. Rev. , vol.58 , pp. 173-189
    • Roelly, S.1    Rouault, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.