222
Fr´ ed´ eric Gosselin and Jean-Dominique Lebreton
Malthus TR (1798) An essay on the principle of population, as it affects the future improvements of society, with remarks on the speculations of Mr. Godwin, M. Condorcet, and
other writers. John Murray, London
Mangle M, Tier C (1993) Dynamics of metapopulations with demographic stochasticity
and environmental catastrophes. Theoretical Population Biology 44:1–31
McCarthy MA, Franklin DC, Burgman MA (1994) The importance of demographic uncertainty: an example from the Helmeted Honeyeater. Biological Conservation 67:135–142
Mode CJ, Jacobson ME (1987a) A study of the impact of environmental stochasticity on
extinction probabilities by Monte Carlo integration. Mathematical Biosciences 83:105–
125
Mode CJ, Jacobson ME (1987b) On estimating population size for an endangered species in
the presence of environmental stochasticity. Mathematical Biosciences 85:185–209
Mode CJ, Pickens GT (1986) Demographic stochasticity and uncertainty in population
projections—a study by computer simulation. Mathematical Biosciences 79:55–72
North PM, Boddy AW, Forrester DR (1988) A computer simulation study of stochastic
models to investigate the population dynamics of the Screech Owl (Otus asio) under
increased mortality. Ecological Modelling 40:233–263
Nunney L, Campbell KA (1993) Assessing minimum viable population size: demography
meets population genetics. TREE 8:234 –239
Pollard JH (1966) On the use of the direct matrix product in analysing certain stochastic
population models. Biometrika 53:397– 415
Reddingius J (1971) Gambling for existence. Acta Biotheoretica 20 Suppl:1–208
Schneider RR, Yodzis P (1994) Extinction dynamics in the American Marten (Martes
americana). Conservation Biology 8:1058–1068
Seneta E, Vere-Jones D (1966) On quasi-stationary distributions in discrete-time Markov
chains with a denumerable infinity of states. Journal of Applied Probability 3:403– 434
Shaffer M (1987) Minimum viable populations: coping with uncertainty. In: Soul´ e ME (ed)
Viable populations for conservation. Cambridge University Press, Cambridge, UK, pp
69–86
Shaffer ML (1981) Minimum population sizes for species conservation. Bioscience
31:131–134
Smith WL, Wilkinson WE (1969) On branching processes in random environments. Annals
of Mathematical Statistics 40:814 –827
Stacey PB, Taper M (1992) Environmental variation and the persistence of small populations. Ecological Applications 2:18–29
Tuljapurkar S (1990) Population dynamics in variable environments. Lecture Notes in
Biomathematics 85. Springer-Verlag, New York
Verboom J, Lankester K, Metz JAJ (1991) Linking local and regional dynamics in stochastic metapopulation models. Biological Journal of the Linnean Society 42:39–55
Wissel C (1989) Metastability a consequence of stochastics in multiple stable population
dynamics. Theoretical Population Biology 36:296–310
Wissel C, St¨ ocker S (1991) Extinction of populations by random influences. Theoretical
Population Biology 39:315–328
Wissel C, Zaschke S-H (1994) Stochastic birth and death processes describing minimum
viable populations. Ecological Modelling 75/76:193–201
Woolfenden GE, Fitzpatrick JW (1991) Florida Scrub Jay ecology and conservation. In:
Perrins CM, Lebreton J-D, Hirons GJM (eds) Bird population studies: relevance to
conservation and management. Oxford University Press, Oxford, UK, pp 542–565
Fr´ ed´ eric Gosselin and Jean-Dominique Lebreton
Malthus TR (1798) An essay on the principle of population, as it affects the future improvements of society, with remarks on the speculations of Mr. Godwin, M. Condorcet, and
other writers. John Murray, London
Mangle M, Tier C (1993) Dynamics of metapopulations with demographic stochasticity
and environmental catastrophes. Theoretical Population Biology 44:1–31
McCarthy MA, Franklin DC, Burgman MA (1994) The importance of demographic uncertainty: an example from the Helmeted Honeyeater. Biological Conservation 67:135–142
Mode CJ, Jacobson ME (1987a) A study of the impact of environmental stochasticity on
extinction probabilities by Monte Carlo integration. Mathematical Biosciences 83:105–
125
Mode CJ, Jacobson ME (1987b) On estimating population size for an endangered species in
the presence of environmental stochasticity. Mathematical Biosciences 85:185–209
Mode CJ, Pickens GT (1986) Demographic stochasticity and uncertainty in population
projections—a study by computer simulation. Mathematical Biosciences 79:55–72
North PM, Boddy AW, Forrester DR (1988) A computer simulation study of stochastic
models to investigate the population dynamics of the Screech Owl (Otus asio) under
increased mortality. Ecological Modelling 40:233–263
Nunney L, Campbell KA (1993) Assessing minimum viable population size: demography
meets population genetics. TREE 8:234 –239
Pollard JH (1966) On the use of the direct matrix product in analysing certain stochastic
population models. Biometrika 53:397– 415
Reddingius J (1971) Gambling for existence. Acta Biotheoretica 20 Suppl:1–208
Schneider RR, Yodzis P (1994) Extinction dynamics in the American Marten (Martes
americana). Conservation Biology 8:1058–1068
Seneta E, Vere-Jones D (1966) On quasi-stationary distributions in discrete-time Markov
chains with a denumerable infinity of states. Journal of Applied Probability 3:403– 434
Shaffer M (1987) Minimum viable populations: coping with uncertainty. In: Soul´ e ME (ed)
Viable populations for conservation. Cambridge University Press, Cambridge, UK, pp
69–86
Shaffer ML (1981) Minimum population sizes for species conservation. Bioscience
31:131–134
Smith WL, Wilkinson WE (1969) On branching processes in random environments. Annals
of Mathematical Statistics 40:814 –827
Stacey PB, Taper M (1992) Environmental variation and the persistence of small populations. Ecological Applications 2:18–29
Tuljapurkar S (1990) Population dynamics in variable environments. Lecture Notes in
Biomathematics 85. Springer-Verlag, New York
Verboom J, Lankester K, Metz JAJ (1991) Linking local and regional dynamics in stochastic metapopulation models. Biological Journal of the Linnean Society 42:39–55
Wissel C (1989) Metastability a consequence of stochastics in multiple stable population
dynamics. Theoretical Population Biology 36:296–310
Wissel C, St¨ ocker S (1991) Extinction of populations by random influences. Theoretical
Population Biology 39:315–328
Wissel C, Zaschke S-H (1994) Stochastic birth and death processes describing minimum
viable populations. Ecological Modelling 75/76:193–201
Woolfenden GE, Fitzpatrick JW (1991) Florida Scrub Jay ecology and conservation. In:
Perrins CM, Lebreton J-D, Hirons GJM (eds) Bird population studies: relevance to
conservation and management. Oxford University Press, Oxford, UK, pp 542–565