Intermittent instability is widespread in plankton communities.

Chaotic dynamics appear to be prevalent in short-lived organisms including plankton and may limit long-term predictability. However, few studies have explored how dynamical stability varies through time, across space and at different taxonomic resolutions. Using plankton time series data from 17 lakes and 4 marine sites, we found seasonal patterns of local instability in many species, that short-term predictability was related to local instability, and that local instability occurred most often in the spring, associated with periods of high growth. Taxonomic aggregates were more stable and more predictable than finer groupings. Across sites, higher latitude locations had higher Lyapunov exponents and greater seasonality in local instability, but only at coarser taxonomic resolution. Overall, these results suggest that prediction accuracy, sensitivity to change and management efficacy may be greater at certain times of year and that prediction will be more feasible for taxonomic aggregates.

[1]  David P. Hamilton,et al.  Methods to control harmful algal blooms: a review , 2022, Environmental Chemistry Letters.

[2]  A. D. Barton,et al.  Intraseasonal predictability of natural phytoplankton population dynamics , 2021, Ecology and evolution.

[3]  S. Munch,et al.  Chaos is not rare in natural ecosystems , 2021, Nature Ecology & Evolution.

[4]  Antoine Brias,et al.  Ecosystem based multi-species management using Empirical Dynamic Programming , 2021 .

[5]  E. Jeppesen,et al.  Turning up the heat: warming influences plankton biomass and spring phenology in subtropical waters characterized by extensive fish omnivory , 2020, Oecologia.

[6]  J. Lenters,et al.  Global lake responses to climate change , 2020, Nature Reviews Earth & Environment.

[7]  D. S. Fisher,et al.  Stabilization of extensive fine-scale diversity by ecologically driven spatiotemporal chaos , 2020, Proceedings of the National Academy of Sciences.

[8]  M. Scheffer,et al.  Neutral competition boosts cycles and chaos in simulated food webs , 2020, Royal Society Open Science.

[9]  S. Munch,et al.  Trophic control changes with season and nutrient loading in lakes , 2020, Ecology letters.

[10]  F. Barraquand,et al.  The effect of seasonal strength and abruptness on predator-prey dynamics. , 2020, Journal of theoretical biology.

[11]  A. Bundy,et al.  Balanced harvest: concept, policies, evidence, and management implications , 2019, Reviews in Fish Biology and Fisheries.

[12]  Serguei Saavedra,et al.  Non-parametric estimation of the structural stability of non-equilibrium community dynamics , 2019, Nature Ecology & Evolution.

[13]  G. Sugihara,et al.  Fluctuating interaction network and time-varying stability of a natural fish community , 2018, Nature.

[14]  Michael C Dietze,et al.  Prediction in ecology: a first-principles framework. , 2017, Ecological applications : a publication of the Ecological Society of America.

[15]  U. H. Thygesen,et al.  Dynamics of a physiologically structured population in a time-varying environment , 2016 .

[16]  I. Moroz,et al.  Chaos in plankton models: Foraging strategy and seasonal forcing , 2016 .

[17]  E. Borer,et al.  The influence of balanced and imbalanced resource supply on biodiversity–functioning relationship across ecosystems , 2016, Philosophical Transactions of the Royal Society B: Biological Sciences.

[18]  R. Julliard,et al.  REVIEW: Predictive ecology in a changing world , 2015 .

[19]  N. I. Nurieva,et al.  Chaos far away from the edge of chaos: A recurrence quantification analysis of plankton time series , 2015 .

[20]  Stephen P. Ellner,et al.  Species fluctuations sustained by a cyclic succession at the edge of chaos , 2015, Proceedings of the National Academy of Sciences.

[21]  Owen L. Petchey,et al.  The ecological forecast horizon, and examples of its uses and determinants , 2015, bioRxiv.

[22]  Michael Doebeli,et al.  Chaos in high-dimensional dissipative dynamical systems , 2014, Scientific Reports.

[23]  Charles T Perretti,et al.  Regime shift indicators fail under noise levels commonly observed in ecological systems. , 2012, Ecological applications : a publication of the Ecological Society of America.

[24]  A. Punt,et al.  Ecosystem-based fisheries management requires a change to the selective fishing philosophy , 2010, Proceedings of the National Academy of Sciences.

[25]  J. Huisman,et al.  Interannual variability in species composition explained as seasonally entrained chaos , 2009, Proceedings of the Royal Society B: Biological Sciences.

[26]  H. Paerl,et al.  Blooms Like It Hot , 2008, Science.

[27]  Ian T. Carroll,et al.  Understanding and predicting ecological dynamics: are major surprises inevitable? , 2008, Ecology.

[28]  Robert Ptacnik,et al.  Diversity predicts stability and resource use efficiency in natural phytoplankton communities , 2008, Proceedings of the National Academy of Sciences.

[29]  Marten Scheffer,et al.  Chaos in a long-term experiment with a plankton community , 2008, Nature.

[30]  Mark Pagel,et al.  On the stability of populations of mammals, birds, fish and insects. , 2007, Ecology letters.

[31]  F. Hilker,et al.  Preventing Extinction and Outbreaks in Chaotic Populations , 2006, The American Naturalist.

[32]  Horst Malchow,et al.  Experimental demonstration of chaos in a microbial food web , 2005, Nature.

[33]  Thilo Gross,et al.  Long food chains are in general chaotic , 2005 .

[34]  Greg Dwyer,et al.  The combined effects of pathogens and predators on insect outbreaks , 2004, Nature.

[35]  D. Gerten,et al.  Species‐specific changes in the phenology and peak abundance of freshwater copepods in response to warm summers , 2002 .

[36]  Jim M Cushing,et al.  Chaos and population control of insect outbreaks , 2001 .

[37]  Stephen P. Ellner,et al.  Living on the edge of chaos: population dynamics of fennoscandian voles , 2000 .

[38]  J. Huisman,et al.  Biodiversity of plankton by species oscillations and chaos , 1999, Nature.

[39]  M. Loreau,et al.  Biodiversity and ecosystem productivity in a fluctuating environment: the insurance hypothesis. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[40]  D. Tilman,et al.  Diversity‐Stability Relationships: Statistical Inevitability or Ecological Consequence? , 1998, The American Naturalist.

[41]  V. A. Ryabchenko,et al.  Chaotic behaviour of an ocean ecosystem model under seasonal external forcing , 1997 .

[42]  Horst Malchow,et al.  Effects of seasonal perturbations on a model plankton community , 1997 .

[43]  H. Caswell,et al.  ALTERNATIVES TO RESILIENCE FOR MEASURING THE RESPONSES OF ECOLOGICAL SYSTEMS TO PERTURBATIONS , 1997 .

[44]  D. Tilman Biodiversity: Population Versus Ecosystem Stability , 1995 .

[45]  Stephen P. Ellner,et al.  Chaos in a Noisy World: New Methods and Evidence from Time-Series Analysis , 1995, The American Naturalist.

[46]  George Sugihara,et al.  Nonlinear forecasting for the classification of natural time series , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[47]  M. Scheffer,et al.  Seasonality and Chaos in a Plankton Fish Model , 1993 .

[48]  Henry D. I. Abarbanel,et al.  Local Lyapunov exponents computed from observed data , 1992 .

[49]  A. Hastings,et al.  Chaos in a Three-Species Food Chain , 1991 .

[50]  George Sugihara,et al.  Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series , 1990, Nature.

[51]  Ulrich Sommer,et al.  The PEG-model of seasonal succession of planktonic events in fresh waters , 1986, Archiv für Hydrobiologie.

[52]  Mark Kot,et al.  The effects of seasonality on discrete models of population growth , 1984 .

[53]  G. E. Hutchinson,et al.  The Balance of Nature and Human Impact: The paradox of the plankton , 2013 .

[54]  Henry D. I. Abarbanel,et al.  Predicting the Future , 2013 .

[55]  Reiner Kümmerlin,et al.  Compensatory dynamics and the stability of phytoplankton biomass during four decades of eutrophication and oligotrophication. , 2013, Ecology letters.

[56]  Marten Scheffer,et al.  Why plankton communities have no equilibrium: solutions to the paradox , 2004, Hydrobiologia.

[57]  Hal Caswell,et al.  Chaos and closure terms in plankton food chain models , 1998 .

[58]  S. Carpenter,et al.  Responses of epilimnetic phytoplankton to experimental nutrient enrichment in three small seepage lakes , 1998 .

[59]  T. O. Carroll,et al.  Is there chaos in plankton dynamics , 1993 .

[60]  A. Gallant,et al.  Finding Chaos in Noisy Systems , 1992 .

[61]  Marten Scheffer,et al.  Should we expect strange attractors behind plankton dynamics―and if so, should we bother? , 1991 .

[62]  W. Hovenkamp Instar-Specific Mortalities of Coexisting Daphnia Species in Relation to Food and Invertebrate Predation , 1990 .