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Nature’s dynamical complexity

A large-scale, cross-taxa analysis reveals high nonlinearity and limited long-term predictability in the dynamics of animal populations.

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Fig. 1: Estimating dynamical complexity of population trajectories.


  1. 1.

    Bjørnstad, O. N. & Grenfell, B. T. Science 293, 638–643 (2001).

    Article  Google Scholar 

  2. 2.

    Clark, T. J. & Luis, A. D. Nat. Ecol. Evol. (2019).

  3. 3.

    Hastings, A., Hom, C. L., Ellner, S., Turchin, P. & Godfray, H. C. J. Annu. Rev. Ecol. Syst. 24, 1–33 (1993).

    Article  Google Scholar 

  4. 4.

    May, R. M. Nature 261, 459–467 (1976).

    CAS  Article  Google Scholar 

  5. 5.

    Desharnais, R. A., Constantino, R. F., Cushing, J. M., Henson, S. M. & Dennis, B. Ecol. Lett. 4, 229–235 (2001).

    Article  Google Scholar 

  6. 6.

    Sugihara, G. & May, R. M. Nature 344, 734–741 (1990).

    CAS  Article  Google Scholar 

  7. 7.

    Takens, F. in Dynamical Systems and Turbulence: Lecture Notes in Mathematics, Warwick 1980 Vol. 898 (eds Rand, D. & Young, L. S.) 366–381 (Springer, 1981).

  8. 8.

    Glaser, S. M. et al. Fish Fish. 15, 616–633 (2014).

    Article  Google Scholar 

  9. 9.

    Petchey, O. L. et al. Ecol. Lett. 18, 597–611 (2015).

    Article  Google Scholar 

  10. 10.

    Ye, H. et al. Proc. Natl Acad. Sci. USA 112, E1569–E1576 (2015).

    CAS  Article  Google Scholar 

  11. 11.

    Hastings, A. & Powell, T. Ecology 72, 896–903 (1991).

    Article  Google Scholar 

Download references

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Correspondence to Vasilis Dakos.

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Dakos, V. Nature’s dynamical complexity. Nat Ecol Evol 4, 12–13 (2020).

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