Reconciling theoretical approaches to stochastic patch-occupancy metapopulation models

Bulletin of Mathematical Biology

Volumn 60, Issue 5, 1998, Pages 955-971

  Gosselin, Frédéric ^a,b  

^a Cemagref   (France)

^b CENTRE D ECOLOGIE FONCTIONNELLE ET EVOLUTIVE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; POPULATION MODEL; POPULATION RESEARCH; PROBABILITY; STATISTICAL ANALYSIS; STOCHASTIC MODEL; THEORY;

EID: 0032170541     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1006/bulm.1998.0052     Document Type: Article

References (16)

1. Darroch, J. N. and E. Seneta (1965). On quasistationary distributions in absorbing discrete finite Markov chains. J. Appl. Prob. 2, 88-100.
2. Day, J. R. and H. P. Possingham (1995). A stochastic metapopulation model with variability in patch size and position. Theor. Pop. Biol. 48, 333-360.
3. Dieudonné, J. (1972). Eléments d'Analyse. Tome I. Fondements de l'Analyse Moderne, Paris: Gauthier-Villars.
4. Dunford, N. and J. Schwartz (1958). Linear Operators, Part I, New York: Wiley Interscience.
5. Gosselin, F. In Prep. Asymptotic behaviour of some discrete-time Markov chains conditional on non-extinction: I-Theory.
6. Gyllenberg, M. and D. S. Silvestrov (1994). Quasistationary distributions of a stochastic metapopulation model. J. Math. Biol. 33, 35-70.
7. Hanski, I. (1982). Dynamics of regional distribution: the core and satellite species hypothesis. Oikos 38, 210-221.
8. Hanski, I. (1994a). A practical model of metapopulation dynamics. J. Anim. Ecol. 63, 151-162.
9. Hanski, I. (1994b). Patch-occupancy dynamics in fragmented landscapes. TREE 9, 131-135.
10. Kato, T. (1980). Perturbation Theory for Linear Operators, Berlin: Springer-Verlag.
11. Levins, R. (1969). Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entom. Soc. Am. 15, 237-240.
12. Levins, R. (1970). Extinction. In Some Mathematical Problems in Biology, M. Gerstenhaber (Ed.), Providence, RI: American Mathematical Society.
13. Mandl, P. (1959). Sur le comportement asymptotique des probabilités dans les ensembles des états d'une chaîne de Markov homogène (in Russian). Časopis Pěst. Mat. 84, 140-149.
14. Reddingius, J. (1971). Gambling for existence. Acta Biotheoretica. 20 (Suppl.), 1-208.
15. Sarre, S., G. T. Smith and J. A. Meyers. (1995). Persistence of two species of gecko (Oedura reticulata and Gehyra variegata) in remnant habitat. Biol. Conserv. 71, 25-33.
16. Sjögren Gulve, P. and C. Ray. (1996). Using logistic regression to model metapopulation dynamics: large-scale forestry extirpates the pool frog. In Metapopulations and Wildlife Conservation, D. R. McCullough (Ed.), Washington D.C.: Island Press.