Thresholds, breakpoints, and nonlinearity in freshwaters as related to management

Abstract Nonlinear ecological responses to anthropogenic forcing are common, and in some cases, the ecosystem responds by assuming a new stable state. This article is an overview and serves as the introduction to several articles in this BRIDGES cluster that are directed toward managers interested in dealing with nonlinear responses in freshwaters, particularly streams. A threshold or breakpoint occurs where the system responds rapidly to a relatively small change in a driver. The existence of a threshold can signal a change in system configuration to an alternative stable state, although such a change does not occur with all thresholds. In general, a mechanistic understanding of ecological dynamics is required to predict thresholds, where they will occur, and if they are associated with the occurrence of alternative stable states. Thresholds are difficult to predict, although a variety of univariate methods has been used to indicate thresholds in ecological data. When we applied several methods to one type of response variable, the resulting threshold values varied 3-fold, indicating that more research on detection methods is necessary. Numerous case studies suggest that the threshold concept is important in all ecosystems. Managers should be aware that human actions might result in undesirable rapid changes and potentially an unwanted alternative stable state, and that recovery from that state might require far more resources and time than avoiding entering the state in the first place would have required. Given the difficulties in predicting thresholds and alternative states, the precautionary approach to ecosystem management is probably the most prudent.

[1]  Wei-Yin Loh,et al.  Classification and regression trees , 2011, WIREs Data Mining Knowl. Discov..

[2]  R. King,et al.  Considerations for analyzing ecological community thresholds in response to anthropogenic environmental gradients , 2010, Journal of the North American Benthological Society.

[3]  R. Utz,et al.  Applying thresholds to forecast potential biodiversity loss from human development , 2010, Journal of the North American Benthological Society.

[4]  Derek L. Sonderegger,et al.  Use of ecological thresholds to assess recovery in lotic ecosystems , 2010, Journal of the North American Benthological Society.

[5]  W. Dodds,et al.  Retrospective analysis of fish community change during a half-century of landuse and streamflow changes , 2010, Journal of the North American Benthological Society.

[6]  W. Dodds,et al.  Saturation of NO3− uptake in prairie streams as a function of acute and chronic N exposure , 2010, Journal of the North American Benthological Society.

[7]  Gideon Gal,et al.  A novel approach to detecting a regime shift in a lake ecosystem , 2010 .

[8]  R. King,et al.  A new method for detecting and interpreting biodiversity and ecological community thresholds , 2010 .

[9]  J. Wootton Experimental species removal alters ecological dynamics in a natural ecosystem. , 2010, Ecology.

[10]  W. Dodds,et al.  Thresholds in macroinvertebrate biodiversity and stoichiometry across water-quality gradients in Central Plains (USA) streams , 2009, Journal of the North American Benthological Society.

[11]  S. Carpenter,et al.  Early-warning signals for critical transitions , 2009, Nature.

[12]  W. Dodds Laws, Theories, and Patterns in Ecology , 2009 .

[13]  Michael C Runge,et al.  Structured decision making as a conceptual framework to identify thresholds for conservation and management. , 2009, Ecological applications : a publication of the Ecological Society of America.

[14]  B. Noon,et al.  Using SiZer to detect thresholds in ecological data , 2009 .

[15]  R. Utz,et al.  Identifying regional differences in threshold responses of aquatic invertebrates to land cover gradients , 2009 .

[16]  Richard C. York :Humanity's Footprint: Momentum, Impact, and Our Global Environment , 2009 .

[17]  Emilio Hernández-García,et al.  Ecological thresholds and regime shifts: approaches to identification. , 2009, Trends in ecology & evolution.

[18]  Marti J. Anderson,et al.  Animal-sediment relationships re-visited: Characterising species' distributions along an environmental gradient using canonical analysis and quantile regression splines , 2008 .

[19]  John Lyons,et al.  Conservation status of imperiled north American freshwater and diadromous fishes , 2008 .

[20]  Zhenming Su,et al.  Quantitative Identification of Disturbance Thresholds in Support of Aquatic Resource Management , 2008, Environmental management.

[21]  J. Heffernan,et al.  Wetlands as an alternative stable state in desert streams. , 2008, Ecology.

[22]  R. Stouffer,et al.  Stationarity Is Dead: Whither Water Management? , 2008, Science.

[23]  S. Carpenter,et al.  Leading indicators of trophic cascades. , 2007, Ecology letters.

[24]  U. Uehlinger,et al.  Experimental floods cause ecosystem regime shift in a regulated river. , 2008, Ecological applications : a publication of the Ecological Society of America.

[25]  S. Jackson,et al.  Novel climates, no‐analog communities, and ecological surprises , 2007 .

[26]  D. Fox,et al.  Back to the No-Analog Future? , 2007, Science.

[27]  Walter K. Dodds,et al.  The saturation of N cycling in Central Plains streams: 15N experiments across a broad gradient of nitrate concentrations , 2007 .

[28]  D. Fox Ecology. Back to the no-analog future? , 2007, Science.

[29]  Christopher W Pawlowski,et al.  Dynamic Landscapes, Stability and Ecological Modeling , 2006, Acta biotheoretica.

[30]  J. F. Paul,et al.  DEVELOPMENT OF EMPIRICAL, GEOGRAPHICALLY SPECIFIC WATER QUALITY CRITERIA: A CONDITIONAL PROBABILITY ANALYSIS APPROACH 1 , 2005 .

[31]  D. Bellwood,et al.  New paradigms for supporting the resilience of marine ecosystems. , 2005, Trends in ecology & evolution.

[32]  M. Rietkerk,et al.  The Dynamic Regime Concept for Ecosystem Management and Restoration , 2004 .

[33]  Edward L. Mills,et al.  Regime Shifts in Lake Ecosystems: Pattern and Variation , 2004 .

[34]  D. Bellwood,et al.  Confronting the coral reef crisis , 2004, Nature.

[35]  S. Rodionov A sequential algorithm for testing climate regime shifts , 2004 .

[36]  A. Hershey,et al.  Long‐term responses of the kuparuk river ecosystem to phosphorus fertilization , 2004 .

[37]  Monica G. Turner,et al.  Ecological Thresholds: The Key to Successful Environmental Management or an Important Concept with No Practical Application? , 2006, Ecosystems.

[38]  S. Carpenter,et al.  Catastrophic regime shifts in ecosystems: linking theory to observation , 2003 .

[39]  B. Cade,et al.  A gentle introduction to quantile regression for ecologists , 2003 .

[40]  Song S. Qian,et al.  Two statistical methods for the detection of environmental thresholds , 2003 .

[41]  Curtis J. Richardson,et al.  Integrating Bioassessment and Ecological Risk Assessment: An Approach to Developing Numerical Water-Quality Criteria , 2003, Environmental management.

[42]  Stephen R. Carpenter,et al.  Regime shifts in lake ecosystems : pattern and variation , 2003 .

[43]  W. Fagan,et al.  RARITY, FRAGMENTATION, AND EXTINCTION RISK IN DESERT FISHES , 2002 .

[44]  W. Loh,et al.  Nonparametric estimation of conditional quantiles using quantile regression trees ∗ ( Published in Bernoulli ( 2002 ) , 8 , 561 – 576 ) , 2008 .

[45]  Stephen R Carpenter,et al.  Multiple states in river and lake ecosystems. , 2002, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[46]  Walter K. Dodds,et al.  Nitrogen and phosphorus relationships to benthic algal biomass in temperate streams , 2002 .

[47]  G. De’ath MULTIVARIATE REGRESSION TREES: A NEW TECHNIQUE FOR MODELING SPECIES–ENVIRONMENT RELATIONSHIPS , 2002 .

[48]  Glenn De ' ath,et al.  MULTIVARIATE REGRESSION TREES: A NEW TECHNIQUE FOR MODELING SPECIES-ENVIRONMENT RELATIONSHIPS , 2002 .

[49]  S. Carpenter,et al.  Catastrophic shifts in ecosystems , 2001, Nature.

[50]  G. De’ath,et al.  CLASSIFICATION AND REGRESSION TREES: A POWERFUL YET SIMPLE TECHNIQUE FOR ECOLOGICAL DATA ANALYSIS , 2000 .

[51]  L. Gunderson Ecological Resilience—In Theory and Application , 2000 .

[52]  Stephen R. Carpenter,et al.  Management of eutrophication for lakes subject to potentially irreversible change , 1999 .

[53]  G. Helfman,et al.  Stream biodiversity: the ghost of land use past. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[54]  J. Garvey,et al.  FROM STAR CHARTS TO STONEFLIES: DETECTING RELATIONSHIPS IN CONTINUOUS BIVARIATE DATA , 1998 .

[55]  J. Halley Ecology, evolution and 1 f -noise. , 1996, Trends in ecology & evolution.

[56]  Lawrence B. Slobodkin,et al.  A Critique for Ecology , 1991 .

[57]  B. K. Ellis,et al.  Seasonal uptake and regeneration of inorganic nitrogen and phosphorus in a large oligotrophic lake: size-fractionation and antibiotic treatment , 1991 .

[58]  R. May,et al.  Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[59]  R. May Thresholds and breakpoints in ecosystems with a multiplicity of stable states , 1977, Nature.

[60]  R. Thom Stabilité structurelle et morphogénèse : essai d'une théorie générale des modèles , 1977 .

[61]  P. Williams The validity of the application of simple kinetic analysis to heterogeneous microbial populations1 , 1973 .