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Flickering gives early warning signals of a critical transition to a eutrophic lake state

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Abstract

There is a recognized need to anticipate tipping points, or critical transitions, in social–ecological systems1,2. Studies of mathematical3,4,5 and experimental6,7,8,9 systems have shown that systems may ‘wobble’ before a critical transition. Such early warning signals10 may be due to the phenomenon of critical slowing down, which causes a system to recover slowly from small impacts, or to a flickering phenomenon, which causes a system to switch back and forth between alternative states in response to relatively large impacts. Such signals for transitions in social–ecological systems have rarely been observed11, not the least because high-resolution time series are normally required. Here we combine empirical data from a lake-catchment system with a mathematical model and show that flickering can be detected from sparse data. We show how rising variance coupled to decreasing autocorrelation and skewness started 10–30 years before the transition to eutrophic lake conditions in both the empirical records and the model output, a finding that is consistent with flickering rather than critical slowing down4,12. Our results suggest that if environmental regimes are sufficiently affected by large external impacts that flickering is induced, then early warning signals of transitions in modern social–ecological systems may be stronger, and hence easier to identify, than previously thought.

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Figure 1: Lake-sediment-based aquatic-system response variables and historical records of environmental drivers during the period 1883–2009.
Figure 2: Evidence for bistability, critical transition, alternative states and hysteresis in the DCA time series.
Figure 3: Potential early warning signals of the regime shift in the lake trophic state for DCA (blue) and HDI (orange) time series.
Figure 4: Response of the lake model to increased phosphorus loading, and early warning signals.

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References

  1. Carpenter, S. R. et al. Science for managing ecosystem services: beyond the Millennium Ecosystem Assessment. Proc. Natl Acad. Sci. USA 106, 1305–1312 (2009)

    Article  ADS  CAS  Google Scholar 

  2. Nicholson, E. et al. Priority research areas for ecosystem services in a changing world. J. Appl. Ecol. 46, 1139–1144 (2009)

    Google Scholar 

  3. Brock, W. A. & Carpenter, S. R. Variance as a leading indicator of regime shift in ecosystem services. Ecol. Soc. 11, 9 (2006)

    Article  Google Scholar 

  4. Biggs, R., Carpenter, S. R. & Brock, W. A. Turning back from the brink: detecting an impending regime shift in time to avert it. Proc. Natl Acad. Sci. USA 106, 826–831 (2009)

    Article  ADS  CAS  Google Scholar 

  5. Guttal, V. & Jayaprakash, C. Changing skewness: an early warning signal of regime shifts in ecosystems. Ecol. Lett. 11, 450–460 (2008)

    Article  Google Scholar 

  6. Carpenter, S. R. et al. Early warnings of regime shifts: a whole-ecosystem experiment. Science 332, 1079–1082 (2011)

    Article  ADS  CAS  Google Scholar 

  7. Drake, J. M. & Griffen, B. D. Early warning signals of extinction in deteriorating environments. Nature 467, 456–459 (2010)

    Article  ADS  CAS  Google Scholar 

  8. Veraart, A. J. et al. Recovery rates reflect distance to a tipping point in a living system. Nature 481, 357–359 (2012)

    Article  ADS  CAS  Google Scholar 

  9. Dai, L., Vorselen, D., Korolev, K. S. & Gore, J. Generic indicators for loss of resilience before a tipping point leading to population collapse. Science 336, 1175–1177 (2012)

    Article  ADS  CAS  Google Scholar 

  10. Scheffer, M. et al. Early-warning signals for critical transitions. Nature 461, 53–59 (2009)

    Article  ADS  CAS  Google Scholar 

  11. Scheffer, M. Critical Transitions in Nature and Society (Princeton Univ. Press, 2009)

    Google Scholar 

  12. Brock, W. A. & Carpenter, S. R. Interacting regime shifts in ecosystems: implication for early warnings. Ecol. Monogr. 80, 353–367 (2010)

    Article  Google Scholar 

  13. Beddington, J. Food security: contributions from science to a new and greener revolution. Phil. Trans. R. Soc. B 365, 61–71 (2010)

    Article  Google Scholar 

  14. International Council for Science. ICSU Strategic Plan II 2012–2017 (International Council for Science, 2011)

  15. Lenton, T. M. et al. Tipping elements in the Earth’s climate system. Proc. Natl Acad. Sci. USA 105, 1786–1793 (2008)

    Article  ADS  CAS  Google Scholar 

  16. Rockström, J. et al. A safe operating space for humanity. Nature 461, 472–475 (2009)

    Article  ADS  Google Scholar 

  17. Carpenter, S. R. & Brock, W. A. Rising variance: a leading indicator of ecological transition. Ecol. Lett. 9, 311–318 (2006)

    Article  CAS  Google Scholar 

  18. Dakos, V. et al. Slowing down as an early warning signal for abrupt climate change. Proc. Natl Acad. Sci. USA 105, 14308–14312 (2008)

    Article  ADS  CAS  Google Scholar 

  19. Ditlevsen, P. D. & Johnsen, S. J. Tipping points: early warning and wishful thinking. Geophys. Res. Lett. 37, L19703 (2010)

    Article  ADS  Google Scholar 

  20. Hastings, A. & Wysham, D. B. Regime shifts in ecological systems can occur with no warning. Ecol. Lett. 13, 464–472 (2010)

    Article  Google Scholar 

  21. Taylor, K. C. et al. The ‘flickering switch’ of late Pleistocene climate change. Nature 361, 432–436 (1993)

    Article  ADS  Google Scholar 

  22. Carpenter, S. R., Ludwig, D. & Brock, W. A. Management of eutrophication for lakes subject to potentially irreversible change. Ecol. Appl. 9, 751–771 (1999)

    Article  Google Scholar 

  23. Livina, V. N., Kwasniok, F. & Lenton, T. M. Potential analysis reveals changing number of climate states during the last 60 kyr. Clim. Past 6, 77–82 (2010)

    Article  Google Scholar 

  24. Hirota, M., Holmgren, M., Van Nes, E. H. & Scheffer, S. Global resilience of tropical forest and savanna to critical transitions. Science 334, 232–235 (2011)

    Article  ADS  CAS  Google Scholar 

  25. Dearing, J. A., Braimoh, A. K., Reenberg, A., Turner, B. L. & van der Leeuw, S. Complex land systems: the need for long time perspectives to assess their future. Ecol. Soc. 15, 21 (2010)

    Article  Google Scholar 

  26. Dearing, J. A. et al. Extending the timescale and range of ecosystem services through paleoenvironmental analyses: the example of the lower Yangtze basin. Proc. Natl Acad. Sci. USA 109, E1111–E1120 (2012)

    Article  CAS  Google Scholar 

  27. Little, J. L., Hall, R. I., Quinlan, R. & Smol, J. P. Past trophic status and hypolimnetic anoxia during eutrophicaton and remediation of Gravenhurst Bay, Ontario: comparison of diatoms, chironomids, and historical records. Can. J. Fish. Aquat. Sci. 57, 333–341 (2000)

    Article  Google Scholar 

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Acknowledgements

A studentship to R.W. was funded through the UK Overseas Research Students Awards Scheme, the Great Britain–China Educational Trust and the University of Southampton. Laboratory analyses and fieldwork were supported by the National Basic Research Program of China (973 program, 2012CB956104). We are grateful to J. Shen and X. Chen for data collection, Y. L. Li for diatom analysis (core EH2), W. L. Xia for radionuclide measurements and Y. X. Zhu for geochemical analyses. V.D. is supported by an NWO-Rubicon and an EU Marie Curie fellowship. M.S. is funded by a Spinoza (NWO) Award and by a European Research Council Advanced Grant. We thank J. Dash and J. Noble for discussions about ARIMA models. This is a Sustainability Science at Southampton publication.

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R.W. designed the research, undertook fieldwork, performed diatom and mathematical analyses, compiled historical data and wrote the paper. J.A.D. and P.G.L. designed and supervised the research and wrote the paper. E.Z. and X.Y. undertook fieldwork, performed and supervised other analyses, and commented on the manuscript. V.D. and M.S. carried out modelling experiments and wrote the paper. All authors discussed the results and commented on the final manuscript.

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Correspondence to John A. Dearing.

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The authors declare no competing financial interests.

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This file contains Supplementary Text and Data 1-9, additional references, Supplementary Tables 1-2 and Supplementary Figures 1-7. (PDF 1692 kb)

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Wang, R., Dearing, J., Langdon, P. et al. Flickering gives early warning signals of a critical transition to a eutrophic lake state. Nature 492, 419–422 (2012). https://doi.org/10.1038/nature11655

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