Stochastic analogues of deterministic single-species population models

Theoretical Population Biology

Volumn 69, Issue 4, 2006, Pages 442-451

  Brannstrom A ^a,b   Sumpter, D J T ^a  

^a UMEÅ UNIVERSITY   (Sweden)

^b INTERNATIONAL INSTITUTE FOR APPLIED SYSTEMS ANALYSIS   (Austria)

Author keywords

First principles; Population models; Ricker model; Stochastic population models

Indexed keywords

DEMOGRAPHY; POPULATION DYNAMICS; POPULATION MODELING; POPULATION VIABILITY ANALYSIS; STOCHASTICITY;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; ECOSYSTEM; POPULATION DYNAMICS; POPULATION GENETICS; STATISTICAL MODEL; STATISTICS;

ANIMALS; ECOSYSTEM; GENETICS, POPULATION; LIKELIHOOD FUNCTIONS; MODELS, BIOLOGICAL; POPULATION DYNAMICS; STOCHASTIC PROCESSES;

ANIMALIA;

EID: 33646123076     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2006.01.006     Document Type: Article

References (27)

1. Anderson R.M., Gordon D.M., Crawley M.J., and Hassell M.P. Variability in the abundance of animal and plant species. Nature 296 (1982) 245-248
2. Athreya K.B., and Karlin S. On branching processes with random environments: extinction probabilities. Ann. Math. Stat. 42 (1971) 1499-1520
3. Bartlett, M.S. (Ed.), 1960. Stochastic Population Models in Ecology and Epidemiology. Metheuen, London.
4. Berryman A.A. Principles of Population Dynamics and Their Applications (1999), Stanley Thornes Ltd.
5. Bjørnstad O.N., and Grenfell B.T. Noisy clockwork: time series analysis of population fluctuations in animals. Science 293 (2001) 638-643
6. Brännström, A., Sumpter, D.J.T., 2005. The role of competition and clustering in population dynamics. Proc. R. Soc. Ser. B-Bio. 272(1576), 2065-2072.
7. Engen S., Bakke O., and Islam A. Demographic and environmental stochasticity-concepts and definitions. Biometrics 54 (1998) 840-846
8. Grimmett G.R., and Stirzaker D.R. Probability and random processes. second ed. (1992), The Clarendon Press, Oxford University Press, New York
9. Hassell M.P. Density-dependence in single species populations. J. Anim. Ecol. 45 (1975) 283-296
10. Hassell M.P., Lawton J.H., and May R.M. Patterns of dynamical behaviour in single-species population models. J. Anim. Ecol. 45 (1976) 471-489
11. Hilborn R., and Mangel M. The Ecological Detective (1997), Princeton University Press, Princeton
12. Johansson A., and Sumpter D.J.T. From local interactions to population dynamics in site-based models of ecology. Theor. Popul. Biol. 64 (2003) 497-517
13. Jonzén N., Lundberg P., Ranta E., and Kaitala V. The irreducible uncertainty of the demography-environment interaction in ecology. Proc. R. Soc. London B 269 (2002) 221-225
14. May R.M. Simple mathematical models with very complicated dynamics. Nature 261 (1976) 459-467
15. Press W.H., Teukolsky S.A., Vetterling W.T., William Y., and Flannery B.P. Numerical Recipes in C. The Art of Scientific Computing. second ed. (1992), Cambridge University Press, Cambridge
16. Royama T. Analytical Population Dynamics (1992), Chapman & Hall, New York, NY
17. Saether B.E. Environmental stochasticity and population dynamics of large herbivores: a search for mechanisms. Trends Ecol. Evol. 12 (1997) 143-149
18. Saether, B.-E., Tufto, J., Engen, S., Jerstad, K., Røstad, O.W., Skåtan, J.E., 2000. Population dynamical consequences of climate change for a small temperate songbird. Science 287, 854-856.
19. Solow A.R. On fitting a population model in the presence of observation error. Ecology 79 (1998) 1463-1466
20. Sumpter D.J.T., and Broomhead D.S. Relating individual behaviour to population dynamics. Proc. R. Soc. London B 268 (2001) 925-932
21. Taylor L.R. Aggregation, variance and the mean. Nature 189 (1961) 732-735
22. Tong H. Non-Linear Time Series: A Dynamical Systems Approach (1990), Oxford University Press, Oxford
23. Turchin P. Complex Population Dynamics: A Theoretical/Empirical Synthesis (2003), Princeton University Press, Princeton
24. Turchin P., and Taylor A.D. Complex dynamics in ecological time-series. Ecology 73 (1992) 289-305
25. Utida S. Damped oscillation of population density at equilibrium. Res. Popul. Ecol. 9 (1967) 1-9
26. Valpine P., and Hastings A. Fitting population models incorporating process noise and observation error. Ecol. Monogr. 72 (2002) 57-76
27. Walther G.R., Post E., Convey P., Menzel A., Parmesan C., Beebee T.J.C., Fromentin J.M., Hoegh-Guldberg O., and Bairlein F. Ecological responses to recent climate change. Nature 416 (2002) 389-395