Extinction rate of a population under both demographic and environmental stochasticity

Theoretical Population Biology

Volumn 53, Issue 1, 1998, Pages 1-15

  Halley, John M ^a   Iwasa, Yoh ^b  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENVIRONMENTAL CONDITIONS; EXTINCTION; POPULATION DYNAMICS; STOCHASTIC PROCESS;

EID: 0032001656     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1336     Document Type: Article

References (28)

1. Arino A., and Pimm S. L. 1995. On the nature of population extremes, Evol. Ecol. 9, 429-443.
2. Caswell H., and Cohen J. E. 1995. Red, white and blue: Environmental variance spectra and coexistence in metapopulations, J. Theory. Biol. 176, 301-316.
3. Darroch J. N., and Seneta E. 1965. On quasi-stationary distributions in absorbing discrete-time finite Markov chains, J. Appl. Prob. 2, 88-100.
4. Delves L. M., and Mohamed J. L. 1985. "Computational Methods for Integral Equations," Cambridge Univ. Press, Cambridge.
5. Ellner S. 1984. Asymptotic behaviour of some stochastic difference equation population models, J. Math. Biol. 19, 169-200.
6. Ewens W. J. 1963. The diffusion equation and a pseudo-distribution in genetics, J. R. Statist. Soc. B 25, 405-412.
7. Foley P. 1994. Predicting extinction times from environmental stochasticity and carrying capacity, Conserv. Biol. 8, 124-137.
8. Gilpin P. 1992. Demographic stochasticity: A Markovian approach, J. Theor. Biol. 154, 1-8.
9. Gilpin P., and Taylor B. 1994. Reduced dimensional population transition matrices: extinction distributions from Markovian dynamics, Theor. Popul. Biol. 46, 121-130.
10. Goodman D. 1987. The demography of chance extinction, in "Viable Population for Conservation" (M. E. Sopule, Ed.), pp. 11-43, Cambridge Univ. Press, New York.
11. Grasman J., and Ludwig D. 1983. The accuracy of the diffusion approximation to the expected time to extinction for some discrete stochastic processes, J. Appl. Prob. 20, 305-321.
12. Haccou P., and Iwasa Y. 1996. Establishment probability in fluctuating environments: A branching process model, Theor. Popul. Biol. 50, 254-280.
13. Halley J. M. 1996. Ecology, evolution and 1/f-noise, TREE (Rep.) 11, 33-37.
14. Halley J. M., and Dempster J. P. 1996. The spatial population dynamics of insects exploiting a patchy food resource: A model study of local persistence, J. Appl. Ecol. 33, 439-454.
15. Halley J. M., Oldham R. S., and Arntzen J. W. 1996. Predicting the persistence of amphibian populations with the help of a spatial model, J. Appl. Ecol. 33, 455-470.
16. Iwasa Y., and Mochizuki H. 1988. Probability of population extinction accompanying a temporary decrease of population size, Res. Popul. Ecol. 30, 145-164.
17. Karlin S., and Taylor H. P. 1975. "A First Course in Stochastic Processes," 2nd ed., Academic Press, London.
18. Lande R. 1993. Risks of population extinction from demographic and environmental stochasticity and random catastrophes, Am. Nat. 142, 911-927.
19. Leigh E. G. 1981. The average lifetime of a population in a varying environment, J. Theor. Biol. 90, 213-239.
20. Ludwig D. 1996. The distribution of popuation survival times, Am. Nat. 147, 506-526.
21. McArthur R. H., and Wilson E. O. 1967. "The Theory of Island Biogeography," Princeton Univ. Press, Princeton, NJ.
22. May R. M. 1974. "Stability and Complexity in Model Ecosystems," Princeton Univ. Press, Princeton, NJ.
23. Mangel M., and Tier C. 1993. Dynamics of metapopulations with demographic stochasticity and environmental catastrophes, Theor. Popul. Biol. 44, 1-31.
24. Richter-Dyn N., and Goel N. S. 1972. On the extinction of a colonizing species, Theor. Popul. Biol. 3, 406-433.
25. Roughgarden J. 1979. "Population Genetics and Evolutionary Ecology," McMillan, New York.
26. Schaffer W. M., Ellner S., and Kot M. 1986. Effects of noise on some dynamical models in ecology, J. Math. Biol. 24, 479-523.
27. Stephen T., and Wissel C. 1994. Stochastic extinction models discrete in time, Ecol. Modell. 75/76, 183-192.
28. Tier C., and Hanson F. B. 1981. Persistence in density dependent stochastic populations, Math. Biosci. 53, 89-117.