Anatomy of a chaotic attractor: Subtle model-predicted patterns revealed in population data

Proceedings of the National Academy of Sciences of the United States of America

Volumn 101, Issue 1, 2004, Pages 408-413

  King, Aaron A ^a   Costantino, R F ^b   Cushing, J M ^c   Henson, Shandelle M ^d   Desharnais, Robert A ^e   Dennis, Brian ^f  

^a UNIVERSITY OF TENNESSEE   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

^c The University of Arizona   (United States)

^d ANDREWS UNIVERSITY   (United States)

^e CALIFORNIA STATE UNIVERSITY   (United States)

^f UNIVERSITY OF IDAHO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHAOTIC DYNAMICS; INSECT; NONHUMAN; PERIODICITY; POPULATION DYNAMICS; PRIORITY JOURNAL; STOCHASTIC MODEL;

ANIMALS; INSECTS; MODELS, STATISTICAL; NONLINEAR DYNAMICS; POPULATION DYNAMICS; STOCHASTIC PROCESSES;

INSECTA;

EID: 0347719314     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.2237266100     Document Type: Article

References (45)

1. May, R. M. (1976) Nature 261, 459-467.
2. Schaffer, W. M. (1984) Am. Nat. 124, 798-820.
3. Schaffer, W. M. (1988) in Evolution of Life Histories of Mammals, ed. Boyce, M. S. (Yale Univ. Press, New Haven, CT), pp. 313-350.
4. Sugihara, G., Grenfell, B. & May, R. M. (1990) Philos. Trans. R. Soc. London B 330, 235-251.
5. Sugihara, G. & May, R. M. (1990) Nature 344, 734-741.
6. Hanski, I., Turchin, P., Korpimaki, E. & Henttonen, H. (1993) Nature 364, 232-235.
7. Hastings, A., Hom, C. L., Ellner. S., Turchin, P. & Godfray, H. C. J. (1993) Annu. Rev. Ecol. Syst. 24, 1-33.
8. Wilson, H. B. & Rand, D. A. (1993) Proc. R. Soc. London Ser. B 253, 239-244.
9. Grenfell, B. T., Kleczkowski, A., Ellner, S. P. & Bolker, B. M. (1994) Philos. Trans. R. Soc. London A 348, 515-530.
10. Tong, H., ed. (1995) Chaos and Forecasting (World Scientific, Singapore).
11. Ellner, S. P., Bailey, B. A., Bobashev, G. V., Gallant, A. R., Grenfell, B. T. & Nychka, D. W. (1998) Am. Nat. 151, 425-440.
12. Pool, R. (1989) Science 243, 25-28.
13. Stone, L. (1992) Proc. R. Soc. London Ser. B 250, 77-81.
14. Turchin, P. (1993) Oikos 68, 167-172.
15. Falck, W., Björnstad, O. N. & Stenseth, N. C. (1995) Proc. R. Soc. London Ser. B 261, 159-165.
16. Falck, W., Björnstad, O. N. & Stenseth, N. C. (1995) Proc. R. Soc. London Ser. B 262, 363-370.
17. Turchin, P. (1995) Proc. R. Soc. London Ser. B 262, 357-361.
18. Perry, J. N., Smith, R. H., Woiwod, I. P. & Morse, D. R., eds. (2000) Chaos in Real Data: The Analysis of Non-Linear Dynamics from Short Ecological Time Series (Kluwer, Dordrecht, The Netherlands).
19. Turchin, P. & Ellner, S. P. (2000) Ecology 81, 3099-3116.
20. Zimmer, C. (1999) Science 284, 83-86.
21. Björnstad, O. N. & Grenfell, B. T. (2001) Science 293, 638-643.
22. Dennis, B., Desharnais, R. A., Cushing, J. M., Henson, S. M. & Costantino, R. F. (2003) Oikos 102, 329-340.
23. Costantino, R. F., Desharnais, R. A., Cushing, J. M. & Dennis, B. (1997) Science 275, 389-391.
24. Dennis, B., Desharnais, R. A., Cushing, J. M., Henson, S. M. & Costantino, R. F. (2001) Ecol. Monogr. 71, 277-303.
25. Cushing, J. M., Costantino, R. F., Dennis, B., Desharnais, R. A. & Henson, S. M. (2003) Chaos in Ecology: Experimental Nonlinear Dynamics, Theoretical Ecology Series (Academic, London), Vol. 1.
26. Rohani, P. & Earn, D. J. D. (1997) Trends Ecol. Evol. 12, 171.
27. Schaffer, W. M., Kendall, B. E., Tidd, C. W. & Olsen, L. F. (1993) IMA J. Math. Appl. Med. Biol. 10, 227-247.
28. Kendall, B. E., Schaffer, W. M., Olsen, L. F., Tidd, C. W. & Jorgensen, B. L. (1993) in Predictability and Nonlinear Modelling in Natural Sciences and Economics, eds. Grassman, J. & van Straten, G. (Kluwer, Dordrecht, The Netherlands), pp, 184-203.
29. Turchin, P. (2003) Complex Population Dynamics: A Theoretical/Empirical Synthesis, Monographs in Population Biology. (Princeton Univ. Press, Princeton), Vol. 35.
30. Henson, S. M., Costantino, R. F., Cushing, J. M., Desharnais, R. A., Dennis, B. & King, A. A. (2001) Science 294, 602-605.
31. Henson, S. M., King, A. A., Costantino, R. F., Cushing, J. M., Dennis, B. & Desharnais, R. A. (2003) Proc. R. Soc. London Ser. B 270, 1549-1553.
32. Lathrop, D. P. & Kostelich, E. J. (1989) Phys. Rev. A At. Mol. Opt. Phys. 40, 4028-4031.
33. Kendall, B. E., Schaffer, W. M. & Tidd, C. W. (1993) Phys. Lett. A 177, 13-20.
34. King, A. A. & Schaffer, W. M. (1999) J. Math. Biol. 39, 439-469.
35. Cushing, J. M., Henson, S. M., Desharnais, R. A., Dennis, B., Costantino, R. F. & King, A. (2001) Chaos Solitons Fractals 12, 219-234.
36. So, P., Ott, E., Schiff, S. J., Kaplan, D. T., Sauer, T. & Grebogi, C. (1996) Phys. Rev. Lett. 76, 4705-4708.
37. So, P., Ott, E., Sauer, T., Gluckman, B. J., Grebogi, C. & Schiff, S. J. (1997) Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 55, 5398-5417.
38. Dhamala, M, Lai, Y. C. & Kostelich, E. J. (2000) Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 61, 6485-6489.
39. Xu, D, Li, Z, Bishop, S. R. & Galvanetto, U. (2002) Pattern Recognit. Lett. 23, 245-252.
40. Domokos, G. & Scheuring, I. (2002) Science 297, 2163.
41. King, A. A., Desharnais, R. A., Henson, S. M., Costantino, R. F., Cushing, J. M. & Dennis, B. (2002) Science 297, 2163.
42. Cushing, J. M., Dennis, B., Desharnais, R. A. & Costantino, R. F. (1998) J. Anim. Ecol. 67, 298-306.
43. So, P., Francis, J. T., Netoff, T. I., Gluckman, B. J. & Schiff, S. J. (1998) Biophys. J. 74, 2776-2785.
44. Binder, P.-M. & Okamoto, N. H. (2003) Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 68, 046206.
45. Dhamala, M, Lai, Y. C. & Kostelich, E. J. (2001) Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 64, 056207.