Predicting the time to quasi-extinction for populations far below their carrying capacity

Journal of Theoretical Biology

Volumn 205, Issue 4, 2000, Pages 649-658

  Engen, Steinar ^a   SÆther, Bernt Erik ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

CARRYING CAPACITY; EXTINCTION; POPULATION DENSITY;

BIRD; NONHUMAN; POPULATION DENSITY; POPULATION DYNAMICS; PREDICTION; PRIORITY JOURNAL; REVIEW;

AVES; CICONIA CICONIA;

EID: 0034699088     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.2000.2094     Document Type: Article

References (27)

1. BAIRLEIM F., ZINK G. Der Bestand des Weisstorchs Ciconia ciconia in Südwestdeutschland: eine Analyse der Bestandsentwicklung. J. Ornithol. 120:1979;1-11.
2. BEISSINGER S. R., WESTPHAL M. I. On the use of demographic models in endangered species management. J. Wildlife Manage. 62:1998;821-841.
3. COX D. R., MILLER H. D. The Theory of Stochastic Processes. 1970;Methuen, London.
4. DENNIS B., MUNHOLLAND P. L., SCOTT J. M. Estimation of growth and extinction parameters for endangered species. Ecol. Monographs. 61:1991;115-123.
5. ENGEN S, BAKKE Ø., ISLAM A. Demographic and environmental stochasticity - concepts and definitions. Biometrics. 54:1998;840-846.
6. GINZBURG L. R., SLOBODKIN L. B., JOHNSON K., BINDMAN A. G. Quasiextinction probabilities as a measure of impact on population growth. Risk Anal. 21:1982;181-191.
7. GROOM M. J., PASCUAL M. The analysis of population persistence: an outlook on the practice of population viability analysis. FIEDLER P., KAREIVA P. Conservation Biology for the Coming Decade. 1998;Chapman & Hall, New York.
8. IUCN/SSC, 1994, IUCN Red List Categories, Switzerland, Gland, IUCN/SSC, http//www.iucn.org/themes/ssc/redlist/ssc-rl_c.htm.
9. KARLIN S., TAYLOR H. M. A Second Course in Stochastic Processes. 1981;Academic Press, London.
10. LANDE R. Risk of population extinction from demographic and environmental stochasticity and random catastophes. Am. Nat. 142:1993;911-927.
11. LANDE R. Mutation and conservation. Conservation Biol. 9:1995;782-791.
12. LANDE R. Demographic stochasticity and Allee effect on a scale with isotrophic noise. Oikos. 83:1998;353-358.
13. LANDE R., ENGEN S., SÆTHER B.-E. Spatial scale of population synchrony: environmental correlation versus dispersal and density regulation. Am. Nat. 154:1999;271-281.
14. LILLEGÅRD M., ENGEN S. Exact confidence intervals based on conditional parametric bootstrapping. J. Appl. Stat. 26:1999;447-459.
15. LUDWIG D. The distribution of population survival times. Am. Nat. 147:1996;506-526.
16. LUDWIG D. Is it meaningful to estimate probability of extinction? Ecology. 80:1999;298-310.
17. MACE G. M., LANDE R. Assessing extinction threats: toward a reevaluation of IUCN threatened species categories. Conservation Biol. 5:1991;148-157.
18. MAY R. M., LAWTON J. H., STORK N. E. Assessing extinction rates. Lawton J. H., Mays R. M. Extinction Rates. 1995;1-24 Oxford University Press, Oxford.
19. RHEINWALD G., OGDEN J., SCHULZ H. White Stork, Status and Conservation. 1989;ICBP, Bonn.
20. SÆTHER B.-E., ENGEN S., ISLAM A., MCCLEERY R., PERRINS C. Environmental stochasticity and extinction risk in a population of a small songbird, the great tit. Am. Nat. 151:1998;441-450.
21. SÆTHER B.-E., ENGEN S., LANDE R., ARCESE P., SMITH J. N. M. Estimating time to extinction in an island population of song sparrows. Proc. Roy. Soc. London Ser. B. 267:2000;621-626.
22. SESHADRI V. The Inverse Gaussian Distribution. Statistical Theory and Applications. 1999;Springer, New York.
23. TAYLOR B. L., WADE P. R., STEHN R. A., COCHRANE J. F. A Bayesian approach to classification criteria for spectacled eiders. Ecol. Appl. 6:1996;1077-1089.
24. TUFTO J., SÆTHER B.-E., ENGEN S., SWENSON J. E., SANDEGREN F. Harvesting strategies for conserving minimum viable populations based on World Conservation Union criteria: brown bears in Norway. Proc. Roy. Soc. London B. 266:1999;961-967.
25. TUFTO J., SÆTHER B.-E., ENGEN S., ARCESE P., JERSTAD K., RØSTAD O. W., SMITH J. N. M. Bayesian meta-analysis of demographic parameters in three small temperate passerines. Oikos. 88:2000;273-281.
26. TURELLI M. Random environments and stochastic calculus. Theor. Popul. Biol. 12:1977;140-178.
27. WHITMORE G. A. Normal-gamma mixtures of inverse Gaussian distributions. Scand. J. Stat. 13:1986;211-220.