Extinction risk in a temporally correlated fluctuating environment

Theoretical Population Biology

Volumn 52, Issue 2, 1997, Pages 91-100

  Johst, Karin ^a   Wissel, Christian ^a  

^a HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENVIRONMENTAL FLUCTUATION; EXTINCTION RISK; WHITE NOISE;

ANIMALIA;

EID: 0031259903     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1322     Document Type: Article

References (33)

1. Allen E. J., Harris J. M., Allen L. J. S. Persistence-time models for use in viability analyses of vanishing species. J. Theor. Biol. 155:1992;33-53.
2. Bellows T. S. The descriptive properties of some models for density dependence. J. Anim. Ecol. 50:1981;139-156.
3. Den Boer P. J. On the survival of populations in a heterogeneous and variable environment. Oecologia. 50:1981;39-53.
4. Boyce M. S. Population viability analysis. Annu. Rev. Ecol. Sys. 23:1992;481-506.
5. Cohen J. E. Unexpected dominance of high frequencies in chaotic nonlinear population models. Nature. 378:1995;610-612.
6. Cook R., Hanski I. On expected life times of small-bodied and large-bodied species of birds on islands. Am. Nat. 145:1995;307-315.
7. Foley P. Predicting extinction times from environmental stochasticity and carrying capacity. Conserv. Biol. 8:1994;124-137.
8. Goodman D. The demography of chance extinction. Viable Populations for Conservation. 1987a;Cambridge Univ. Press, New York. p. 11-34.
9. Goodman D. Consideration of stochastic demography in the design and management of biological reserves. Nat. Res. Model. 1:1987b;205-234.
10. Goel N. S., Richter-Dyn N. Stochastic models in biology. 1974;Academic Press, New York.
11. Halley J. M. Ecology, evolution and 1/f-noise. TREE. 11:1996;33-37.
12. Hanson F. B., Tuckwell H. C. Logistic growth with random density independent disasters. Theor. Pop. Biol. 19:1981;1-18.
13. Lande R., Barrowclough G. F. Effective population size, genetic variation, and their use in population management. Soule M. E. Viable Populations for Conservation. 1987;87-124 Cambridge Univ. Press, New York.
14. Lande R. Risks of population extinction from demographic and environmental stochasticity and random catastrophes. Am. Nat. 142:1993;911-927.
15. Lande R. Mutation and conservation. Conserv. Biol. 9:1995;782-791.
16. Leigh E. G. Jr. The average lifetime of a population in a varying environment. J. Theor. Biol. 90:1981;213-239.
17. Li J. Periodic solutions of population models in a periodically fluctuating environment. Math. Bioscie. 110:1992;17-25.
18. Mangel M., Tier CH. Dynamics of metapopulations with demographic stochastic and environmental catastrophes. Theor. Pop. Biol. 44:1993;1-31.
19. Maynard Smith J., Slatkin M. The stability of predator-prey systems. Ecology. 54:1973;384-391.
20. Mode Ch., Jacobson M. E. On estimating critical population size for an endagered species in the presence of environmental stochasticity. Math. Biosciences. 85:1987;185-209.
21. Murray B. G. On density dependence. Oikos. 69:1994;520-523.
22. Nisbet R. M., Gurney W. S. C. Modelling Fluctuating Populations. 1982;Wiley, New York.
23. Pimm S., Redfearn A. The variability of population densities. Nature. 334:1988;613-614.
24. Press W. H., Fannery B. P., Teukolsky S. A., Vetterling W. T. Numerical Recipes. 1989;Cambridge Univ. Press, Cambridge.
25. Rotenberg M. Effect of certain stochastic parameters on extinction and harvested populations. J. Theor. Biol. 124:1987;455-471.
26. Roughgarden J. A simple model for population dynamics in stochastic environments. Am. Nat. 109:1975;713-736.
27. Shaffer M. L. Minimum viable populations: coping with uncertainty. Soule M. E. Viable Populations for Conservation. 1987;69-86 Cambridge Univ. Press, New York.
28. Steele J. H. A comparison of terrestrial and marine ecological systems. Nature. 313:1985;355-358.
29. Tuljapurkar S. Population dynamics in variable environments. III. Evolutionary dynamics ofr. Theor. Pop. Biol. 21:1982;141-165.
30. Turelli M. Random environments and stochastic calculus. Theor. Pop. Biol. 12:1977;140-178.
31. Wissel Ch., Stoecker S. Extinction by random influences. Theor. Pop. Biol. 39:1991;315-328.
32. Wissel Ch., Stephan T., Zaschke S. H. Modelling extinction and survival of small populations. Remmert H. Minimum Viable Populations. Ecological Studies. 1993;Springer-Verlag, Berlin.
33. Wissel Ch., Zaschke S. H. Stochastic birth and death processes describing minimum viable populations. Ecol. Modelling. 75/76:1994;193-201.