220
Fr´ ed´ eric Gosselin and Jean-Dominique Lebreton
Burkey TV (1989) Extinction in nature reserves: the effect of fragmentation and the
importance of migration between reserve fragments. Oikos 55:75–81
Caswell H (1989) Matrix population models. Sinauer, Sunderland, MA
Chesson P (1978) Predator-prey theory and variability. Annual Review of Ecology and
Systematics 9:323–347
Cohen JE (1969) Natural primate troops and a stochastic population model. American
Naturalist 103:455– 477
Day JR, Possingham HP (1995) A stochastic metapopulation model with variability in
patch size and position. Theoretical Population Biology 48:333–360
DeAngelis DL (1976) Application of stochastic models to a wildlife population. Mathematical Biosciences 31:227–236
Dennis B, Munholland PL, Scott JM (1991) Estimation of growth and extinction parameters for endangered species. Ecological Monographs 61:115–143
Durrett R, Levin S (1994) The importance of being discrete (and spatial). Theoretical
Population Biology 46:363–394
Eberhardt LL (1985) Assessing the dynamics of wild populations. Journal of Wildlife
Management 49:997–1012
Facelli JM, Pickett STA (1990) Markovian chains and the role of history in succession.
TREE 5:27–30
Gabriel W, B¨ urger R (1992) Survival of small populations under demographic stochasticity.
Theoretical Population Biology 41:44 –71
Galton F (1873) Problem 4001. Educational Times 17
Gilpin ME (1987) Spatial structure and population variability. In: Soul´ e ME (ed) Viable
populations for conservation. Cambridge University Press, Cambridge, UK, pp 125–140
Gilpin ME, Soul´ e ME (1986) Minimum viable populations: the processes of species extinctions. In: Soul´ e ME (ed) Conservation biology: science of scarcity and diversity. Sinauer,
Sunderland, MA, pp 13–34
Ginzburg LR, Slobodkin LB, Johnson K, Bindman AG (1982) Quasiextinction probabilities as a measure of impact on population growth. Risk Analysis 2:171–181
Goodman D (1987) The demography of chance extinction. In: Soul´ e ME (ed) Viable
populations for conservation. Cambridge University Press, Cambridge, UK, pp 11–34
Gosselin F (1996) Extinction in a simple source/sink system: application of new mathematical results. Acta Oecologica 17:563–584
Gosselin F (1997) Mod` eles stochastiques d’extinction de population: propri´ et´ es math´ ematiques et leurs applications. Unpublished PhD thesis, Paris 6 University, Paris
Gosselin F (1998a) Asymptotic behaviour of some discrete-time Markov chains conditional on non-extinction. I-Theory. Mimeographed research report 98–04. Biometrics
Unit, INRA/ENSAM/University Montpellier II, France
Gosselin F (1998b) Asymptotic behaviour of some discrete-time Markov chains conditional on non-extinction. II-Applications. Mimeographed research report 98–05, Biometrics Unit, INRA/ENSAM/University Montpellier II, France
Gosselin F (1998c) Reconciling theoretical approaches to stochastic patch-occupancy
metapopulation models. Bulletin of Mathematical Biology 60:955–971
Gosselin F (1998d) Asymptotic behavior of some discrete time Markov chains conditional
on non-extinction. I-Theory; II-Applications. Technical Reports 98-04, 98-05. Groupe de
Biostatistique et d‘Analyse des Syst` ems. Universit´ e de Montpellier II, France
Gyllenberg M, Silvestrov DS (1994) Quasi-stationary distributions of a stochastic metapopulation model. Journal of Mathematical Biology 33:35–70
Hanski I (1994) A practical model of metapopulation dynamics. Journal of Animal Ecology
63:151–162
Fr´ ed´ eric Gosselin and Jean-Dominique Lebreton
Burkey TV (1989) Extinction in nature reserves: the effect of fragmentation and the
importance of migration between reserve fragments. Oikos 55:75–81
Caswell H (1989) Matrix population models. Sinauer, Sunderland, MA
Chesson P (1978) Predator-prey theory and variability. Annual Review of Ecology and
Systematics 9:323–347
Cohen JE (1969) Natural primate troops and a stochastic population model. American
Naturalist 103:455– 477
Day JR, Possingham HP (1995) A stochastic metapopulation model with variability in
patch size and position. Theoretical Population Biology 48:333–360
DeAngelis DL (1976) Application of stochastic models to a wildlife population. Mathematical Biosciences 31:227–236
Dennis B, Munholland PL, Scott JM (1991) Estimation of growth and extinction parameters for endangered species. Ecological Monographs 61:115–143
Durrett R, Levin S (1994) The importance of being discrete (and spatial). Theoretical
Population Biology 46:363–394
Eberhardt LL (1985) Assessing the dynamics of wild populations. Journal of Wildlife
Management 49:997–1012
Facelli JM, Pickett STA (1990) Markovian chains and the role of history in succession.
TREE 5:27–30
Gabriel W, B¨ urger R (1992) Survival of small populations under demographic stochasticity.
Theoretical Population Biology 41:44 –71
Galton F (1873) Problem 4001. Educational Times 17
Gilpin ME (1987) Spatial structure and population variability. In: Soul´ e ME (ed) Viable
populations for conservation. Cambridge University Press, Cambridge, UK, pp 125–140
Gilpin ME, Soul´ e ME (1986) Minimum viable populations: the processes of species extinctions. In: Soul´ e ME (ed) Conservation biology: science of scarcity and diversity. Sinauer,
Sunderland, MA, pp 13–34
Ginzburg LR, Slobodkin LB, Johnson K, Bindman AG (1982) Quasiextinction probabilities as a measure of impact on population growth. Risk Analysis 2:171–181
Goodman D (1987) The demography of chance extinction. In: Soul´ e ME (ed) Viable
populations for conservation. Cambridge University Press, Cambridge, UK, pp 11–34
Gosselin F (1996) Extinction in a simple source/sink system: application of new mathematical results. Acta Oecologica 17:563–584
Gosselin F (1997) Mod` eles stochastiques d’extinction de population: propri´ et´ es math´ ematiques et leurs applications. Unpublished PhD thesis, Paris 6 University, Paris
Gosselin F (1998a) Asymptotic behaviour of some discrete-time Markov chains conditional on non-extinction. I-Theory. Mimeographed research report 98–04. Biometrics
Unit, INRA/ENSAM/University Montpellier II, France
Gosselin F (1998b) Asymptotic behaviour of some discrete-time Markov chains conditional on non-extinction. II-Applications. Mimeographed research report 98–05, Biometrics Unit, INRA/ENSAM/University Montpellier II, France
Gosselin F (1998c) Reconciling theoretical approaches to stochastic patch-occupancy
metapopulation models. Bulletin of Mathematical Biology 60:955–971
Gosselin F (1998d) Asymptotic behavior of some discrete time Markov chains conditional
on non-extinction. I-Theory; II-Applications. Technical Reports 98-04, 98-05. Groupe de
Biostatistique et d‘Analyse des Syst` ems. Universit´ e de Montpellier II, France
Gyllenberg M, Silvestrov DS (1994) Quasi-stationary distributions of a stochastic metapopulation model. Journal of Mathematical Biology 33:35–70
Hanski I (1994) A practical model of metapopulation dynamics. Journal of Animal Ecology
63:151–162