Mapping the Regional Transition to Cyclicity in Clethrionomys rufocanus: Spectral Densities and Functional Data Analysis

Researches on Population Ecology

Volumn 40, Issue 1, 1998, Pages 77-84

  Bjørnstad, Ottar N ^a   Stenseth, Nils Chr ^a   Saitoh, Takashi ^b   Lingjærde, Ole Chr ^a  

^a UNIVERSITY OF OSLO   (Norway)

^b FORESTRY AND FOREST PRODUCTS RESEARCH INSTITUTE   (Japan)

Author keywords

Biogeography; Microtine cycle; Population fluctuation; Scale of regulation; Seasonality

Indexed keywords

EID: 0037649924     PISSN: 00345466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02765223     Document Type: Article

References (50)

1. Begon, M., S. M. Sait and D. J. Thompson (1996) Predator-prey cycles with period shifts between two and three-species systems. Nature 381: 311-315.
2. Bjørnstad, O. N., W. Falck and N. C. Stenseth (1995) A geographic gradient in small rodent density fluctuations: a statistical modelling approach. Proceedings of the Royal Society of London B 262: 127-133.
3. Bjørnstad, O. N., S. Champely, N. C. Stenseth and T. Saitoh (1996) Cyclicity and stability of grey-sided voles, Clethrionomys rufocanus, of Hokkaido: spectral and Principal components analyses. Philosophical Transactions of the Royal Society of London B 351: 867-875.
4. Bjørnstad, O. N., N. C. Stenseth and T. Saitoh (1998) Synchrony and scaling in dynamics of voles and mice in northern Japan. Ecology (in press).
5. Butler, L. (1951) Population cycles and colour phase genetics of the coloured fox in Quebec. Canadian Journal of Zoology 29: 24-41.
6. Castro, P. E., W. H. Lawton and E. A. Sylvestre (1986) Principal modes of variation for processes with continuous sample curves. Technometrics 28: 329-337.
7. Chatfield, C. (1989) The analysis of time series: an introduction, 4th edn. Chapman and Hall, London.
8. Dennis, B., R. A. Desharnais, J. M. Cushing and R. F. Costantino (1997) Transitions in population dynamics: equilibria to periodic cycles to aperiodic cycles. Journal of Animal Ecology 66: 704-729.
9. Dobson, A. and P. Hudson (1994) The interaction between the parasites and predators of Red Grouse Lagopus lagopus scoticus. Ibis 137: S87-96.
10. Erlinge, S. (1987) Predation and noncyclicity in a microtine population in Southern Sweden. Oikos 50: 347-352.
11. Erlinge, S., O. Göransson, L. Hansson, G. Högstedt, O. Liberg, I. N. Nilsson, T. Nilsson, T. von Schantz and M. Sylven (1983) Predation as a regulating factor on small rodent populations in Southern Sweden. Oikos 40: 36-52.
12. Fromentin, J.-M., N. C. Stenseth, J. Gjøsaeter, O. N. Bjørnstad, W. Falck and T. Johannesen (1997) Spatial patterns of the temporal dynamics of three gadoid species along the Norwegian Skagerrak coast. Marine Ecological Progress Series 155: 209-222.
13. Goodall, D. W. (1954) Objective methods for the classification of vegetation III. An essay in the use of factor analysis. Australian Journal of Botany 2: 304-324.
14. Grenfell, B. T., B. M. Bolker and A. Kleczkowski (1995) Seasonality and extinction in chaotic metapopulations. Proceedings of the Royal Society of London B 259: 97-103.
15. Hanski, I., L. Hansson and H. Henttonen (1991) Specialist predators, generalist predators, and the microtine rodent cycle. Journal of Animal Ecology 60: 353-367.
16. Hanski, I. and E. Korpimäki (1995) Microtine rodent dynamics in Northern Europe: Parametrized models for the predator-prey interaction. Ecology 76: 840-850.
17. Hanski, I., P. Turchin, E. Korpimäki and H. Henttonen (1993) Population oscillations of boreal rodents: Regulation by mustelid predators leads to chaos. Nature 364: 232-235.
18. Hansson, L. (1987) An interpretation of rodent dynamics as due to trophic interactions. Olkos 50: 308-318.
19. Hansson, L. (1992) Small mammal communities on clearcuts in a latitudinal gradient. Acta Oecologia 13: 687-699.
20. Hansson, L. and H. Henttonen (1985a) Gradients in density variations of small rodents: the importance of latitude snow cover. Oecologia 67: 394-402.
21. Hansson, L. and H. Henttonen (1985b) Regional differences in cyclicity and reproduction in Clethrionomys species: Are they related? Annales Zoologica Fennici 22: 277-288.
22. Hansson, L. and H. Henttonen (1988) Rodent dynamics as community processes. Trends in Ecology and Evolution 3: 195-200.
23. Hastie, T. and R. Tibshirani (1990) Generalized additive models. Chapman and Hall, London.
24. Hastings, A., C. L. Horn, S. Ellner, P. Turchin and H. C. J. Godfray (1993) Chaos in ecology: Is mother nature a strange attractor? Annual Review of Ecology and Systematics 24: 1-33.
25. Henttonen, H., D. McGuire and L. Hansson (1985) Comparisons of amplitude and frequencies (spectral analyses) of density variations in long-term data sets of Clethrionomys species. Annales Zoologica Fennici 22: 221-27.
26. Jedrzejewski, W. and B. Jedrzejewska (1996) Rodent cycles in relation to biomass and productivity of ground vegetation and predation in the Palearctic. Acta Theriologica 41: 1-34.
27. Kaneko, Y., K. Nakata, T. Saitoh, N. C. Stenseth and O. N. Bjørnstad (1998) The biology of the vole Clethrionomys rufocanus: a review. Researches on Population Ecology 40: 21-37.
28. King, A. A., W. M. Schaffer, C. Gordon, J. Treat and M. Kot (1996) Weakly dissipative predator-prey systems. Bulletin of Mathematical Biology 58: 835-859.
29. Kooperberg, C., C. J. Stone and Y. K. Truong (1995) Logspline estimation of a possibly mixed spectral distribution. Journal of Time Series Analysis 16: 359-388.
30. Manly, B. F. J. (1997) Randomization, bootstrap and Monte Carlo methods in biology, 2nd edn. Chapman and Hall, London.
31. May, R. M. (1976) Simple mathematical models with very complicated dynamics. Nature 261: 459-467.
32. Moss, R., A. Watson and R. Parr (1996) Experimental prevention of population cycle in red grouse. Ecology 77: 1512-1530.
33. Murdoch, W. W. and C. J. Briggs (1996) Theory of biological control: recent developments. Ecology 77: 2001-2013.
34. Myers, J. H. and L. D. Rothman (1995) Field experiments to study regulation of fluctuating populations, pp. 229-251. In N. Cappuccino and P. Price (eds.) Population dynamics. Academic Press, New York.
35. Priestley, M. B. (1981) Spectral analysis and time series. Academic Press, London.
36. Ramsay, J. O. and B. W. Silverman (1997) Functional data analysis. Springer-Ver lag,New York.
37. Saitoh, T. and A. Nakatsu (1997) Impact of forest plantation on the community of small mammals in Hokkaido, Japan. Mammal Study 22: 27-38.
38. Saitoh, T., N. C. Stenseth and O. N. Bjørnstad (1997) Density dependence in fluctuating grey-sided vole populations. Journal of Animal Ecology 66: 14-24.
39. Saitoh, T., O. N. Bjørnstad and N. C. Stenseth (1998a) Densitydependence in voles and mice: a comparative analysis. Ecology (in press).
40. Saitoh, T., N. C. Stenseth and O. N. Bjørnstad (1998b) The population dynamics of the vole, Clethrionomys rufocanus, in Hokkaido Japan. Researches on Population Ecology 40: 61-76.
41. Selås, V. (1997) Cyclic population fluctuations of herbivores as an effect of cyclic seed cropping of plants: the mast depression hypothesis. Oikos 80: 257-268.
42. Shepherd, R., D. D. Bennet, J. W. Dale, S. Tunnock, R. E. Dolph and R. W. Thier (1988) Evidence of synchronized cycles in outbreak patterns of Douglas-fir tussock moth, Orgyia pseudotsugata (McDunnough) (Lepidoptera: Lymantriidae). Memoirs of the Entomological Society of Canada, Ottawa 146: 107-121.
43. Statistical Sciences (1995) S-plus guide to statistical and mathematical analysis, version 3.3. StatSci, MathSoft, Inc., Seattle.
44. Stenseth, N. C. (1985) Models of bank vole and wood mice. Symposium of the Zoological Society of London 55: 339-376.
45. Stenseth, N. C., O. N. Bjørnstad and T. Saitoh (1996a) A gradient from stable to cyclic populations of Clethrionomys rufocanus in Hokkaido, Japan. Proceedings of the Royal Society of London B 263: 1117-1126.
46. Stenseth, N. C., O. N. Bjørnstad and W. Falck (1996b) Is spacing behaviour coupled with predation causing the microtine density cycle? A synthesis of current process-oriented and pattern-oriented studies. Proceedings of the Royal Society of London B 263: 14231435.
47. Stenseth, N. C., O. N. Bjørnstad and T. Saitoh (1998a) Seasonal forcing on the dynamics of Clethrionomys rufocanus: modeling geographic gradients in population dynamics. Researches on Population Ecology 40: 85-95.
48. Stenseth, N. C., T. Saitoh and N. O. Yoccoz (1998b) Frontiers of population ecology in microtine rodents: a pluralistic approach to the study of population ecology. Researches on Population Ecology 40: 5-20.
49. Turchin, P. and I. Hanski (1997) An empirically based model for latitudinal gradient in vole population dynamics. American Naturalist 149: 842-874.
50. Wahba, G. (1980) Automatic smoothing of the log periodogram. Journal of the American Statistical Association 75: 122-132.