Abstract
There is a pressing need to apply stability and resilience theory to environmental management to restore degraded ecosystems effectively and to mitigate the effects of impending environmental change. Lakes represent excellent model case studies in this respect and have been used widely to demonstrate theories of ecological stability and resilience that are needed to underpin preventative management approaches. However, we argue that this approach is not yet fully developed because the pursuit of empirical evidence to underpin such theoretically grounded management continues in the absence of an objective probability framework. This has blurred the lines between intuitive logic (based on the elementary principles of probability) and extensional logic (based on assumption and belief) in this field.
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Loch Leven photograph (left image), Jim Hampson/Scottish Natural Heritage; Windermere photograph (middle image), Mitzi M. De Ville; Müggelsee photograph (right image), T. Hintze.


Calhoun Lake photograph (right image), Minneapolis Park and Recreation Board.

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Acknowledgements
B.M.S., E.J., L.C., S.J.T. and E.B.M. were supported in part by the MARS project (Managing Aquatic ecosystems and water Resources under multiple Stress) funded under the 7th EU Framework Programme, Theme 6 (environment including climate change), contract number 603378 (http://www.mars-project.eu/). B.M.S., L.M., L.C. and S.I. were supported in part by a grant from the Scottish government (RESAS) on ‘Predicting the impact of current and future drivers of change upon aquatic ecology’. S.I. was supported by a Natural Environment Research Council (NERC) PhD Studentship. R.A. acknowledges support by the EU Mantel project - a Marie Sklodowska-Curie Action; European Joint Doctorate Innovative Training Network (EJD, ITN). We thank all who have contributed to, and continue to support, the globally important long-term monitoring programmes of Loch Leven, Windermere, the Swedish Lakes (including Lake Härsvatten) and Müggelsee featured in this Perspective. We thank all with the foresight to collect and comprehensively assess the outcomes of the management activities at Calhoun Lake and Lake Engelshom. This Perspective was conceived during the workshop ‘Critical transitions in lakes’, December 2015, Edinburgh, UK, and supported by CEH and NERC through a National Capability programme on Ecosystem Processes & Resilience.
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All authors contributed to the original concept of this paper and to the development of the text. B.M.S., M.N.F., E.J., T.A.D., B.J.H. and S.J.T. led the preparation of the text and paper structure. S.I., B.J.H., E.J., M.N.F. and S.J.T. prepared the figures with data provided by E.B.M., H.W., S.I., L.M., B.J.H., R.A., M.S., M.N.F. and A.S.G. B.M.S. led the final draft preparation and submission stages with comments from all authors being received prior to submission.
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Spears, B.M., Futter, M.N., Jeppesen, E. et al. Ecological resilience in lakes and the conjunction fallacy. Nat Ecol Evol 1, 1616–1624 (2017). https://doi.org/10.1038/s41559-017-0333-1
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DOI: https://doi.org/10.1038/s41559-017-0333-1
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