Seasonality, Stochasticity and Population Cycles

Researches on Population Ecology

Volumn 40, Issue 1, 1998, Pages 141-143

  Grenfell, Bryan T ^a   Finkenstädt, Bärbel F ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000179149     PISSN: 00345466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02765232     Document Type: Article

References (22)

1. Anderson, R. M. and R. M. May (1991) Infectious diseases of humans: dynamics and control. Oxford University Press, Oxford.
2. Bjørnstad, O. N., N. C. Stenseth, T. Saitoh and O. C. Lingjærde (1998) Mapping the regional transition to cyclicity in Clethrionomys rufocanus: spectral densities and functional data analysis. Researches on Population Ecology 40: 77-84.
3. Cliff, A. D., P. Haggett, D. F. Stroup and E. Cheney (1992) The changing geographical coherence of measles morbidity in the United States, 1962-88. Statistics in Medicine 11: 1409-1424.
4. Clutton-Brock, T. H., A. W. Illius, K. Wilson, B. T. Grenfell, A. D. C. MacColl and S. D. Albon (1997) Stability and instability in ungulate populations: an empirical analysis. American Naturalist 149: 195-219.
5. Finkenstädt, B. F. and B. T. Grenfell (1998) Empirical determinants of measles metapopulation dynamics in England and Wales. Proceedings of the Royal Society of London B 265: 211-220.
6. Finkenstädt, B. F. and B. T. Grenfell (submitted) Time series modelling of childhood diseases: a dynamical systems approach. Journal of the Royal Statistical Society, Series C.
7. Finkenstädt, B. F., M. J. Keeling and B. T. Grenfell (1998) Patterns of density dependence in measles dynamics. Proceedings of the Royal Society of London B 265: 753-762.
8. Grenfell, B. T. (1992) Chance and chaos in measles dynamics. Journal of the Royal Statistical Society Series B 54: 383-398.
9. Grenfell, B. T. and B. M. Bolker (1998) Cities and villages: infection hierarchies in a measles metapopulation. Ecology Letters (in press).
10. Grenfell, B. T. and J. Harwood (1997) (Meta)population dynamics of infectious diseases. Trends in Ecology and Evolution 12: 395-399.
11. Grenfell, B. T., O. F. Price, S.D. Albon and T. H. Clutton-Brock (1992) Overcompensation and population cycles in an ungulate. Nature 355: 823-826.
12. Grenfell, B. T., A. Kleczkowski, S. P. Ellner and B. M. Bolker (1994) Measles as a case-study in nonlinear forecasting and chaos. Philosophical Transactions of the Royal Society of London Series A 348: 515-530.
13. Grenfell, B. T., K. Wilson, B. F. Finkenstädt, T. N. Coulson, S. Murray, S. D. Albon, J. M. Pemberton, T. H. Clutton-Brock and M. J. Crawley (1998) Noise and determinism in synchronised sheep dynamics. Nature (in press).
14. Hassell, M. P., J. H. Lawton and R. M. May (1976) Patterns of dynamical behaviour in single-species populations. Journal of Animal Ecology 45: 471-486.
15. Manly, B. F. J. (1997) Randomization, bootstrap and Monte Carlo methods in biology. Chapman and Hall, New York.
16. May, R. M. (1976) Simple mathematical models with very complicated dynamics. Nature 261: 459-467.
17. Rand, D. A. and H. Wilson (1991) Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics. Proceedings of the Royal Society of London B 246: 179-184.
18. Schenzle, D. (1984) An age-structured model of pre- and post- vaccination measles transmission. IMA Journal of Mathematics Applied in Medicine and Biology 1: 169-191.
19. Sinclair, A. R. E. (1988) Population regulation in animals, pp. 197-242. In J. M. Cherrett (ed.) Ecological concepts: the contribution of ecology to an understanding of the natural world. Blackwell Scientific Publications, Oxford.
20. Stenseth, N. C., O. N. Bjørnstad and T. Saitoh (1998) Seasonal forcing on the dynamics of Clethrionomys rufocanus: modeling geographic gradients in population dynamics. Researches on Population Ecology 40: 85-95.
21. Sugihara, G. and R. M. May (1990) Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344: 734-741.
22. Tong, H. (1990) Non-linear time series: a dynamical systems approach. Oxford University Press, Oxford.