The adaptive cycle: More than a metaphor

Abstract The adaptive cycle and its extension to panarchy (nested adaptive cycles) has been a useful metaphor and conceptual model for understanding long-term dynamics of change in ecological and social–ecological systems. We argue that adaptive cycles are ubiquitous in complex adaptive systems because they reflect endogenously generated dynamics as a result of processes of self-organization and evolution. We synthesize work from a wide array of fields to support this claim. If dynamics of growth, conservation, collapse and renewal are endogenous dynamics of complex adaptive systems, then there ought to be signals of system change over time that reflect this. We describe a series of largely thermodynamically based indicators that have been developed for this purpose, and we add a critical and heretofore missing component–namely, that of understanding dynamics of change (adaptive cycles) at objectively identified spatial and temporal scales nested within each system, instead of solely at the system level. The explicit consideration of scales, when coupled with selective indicators, may circumvent the need for multiple indicators to capture system dynamics and will provide a richer picture of system trajectory than that offered by a single-scale analysis. We describe feasible ways in which researchers could systematically and quantitatively look for signatures of adaptive cycle dynamics at scales within ecosystems, rather than relying on metaphor and largely qualitative descriptions.

[1]  Leonid M. Martyushev,et al.  Entropy and Entropy Production: Old Misconceptions and New Breakthroughs , 2013, Entropy.

[2]  P. Deoliveira Why do Evolutionary Systems Stick to the Edge of Chaos , 2001 .

[3]  N. Niquil,et al.  The mean function provides robustness to linear inverse modelling flow estimation in food webs: A comparison of functions derived from statistics and ecological theories , 2013 .

[4]  Lucas N Joppa,et al.  Network structure beyond food webs: mapping non-trophic and trophic interactions on Chilean rocky shores. , 2015, Ecology.

[5]  Stephen Lansing,et al.  Complex Adaptive Systems , 2003 .

[6]  Roderick C. Dewar,et al.  Maximum entropy production and plant optimization theories , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[7]  Min Cao,et al.  Self-organization of tropical seasonal rain forest in southwest China , 2011 .

[8]  Simone Bastianoni,et al.  Thermodynamics-based categorization of ecosystems in a socio-ecological context , 2013 .

[9]  Robert E. Ulanowicz,et al.  The mature stage of capitalist development: Models, signs and policy implications , 2016 .

[10]  Alexei Kurakin,et al.  The self-organizing fractal theory as a universal discovery method: the phenomenon of life , 2011, Theoretical Biology and Medical Modelling.

[11]  David R. Bellwood,et al.  Cross-scale Habitat Structure Drives Fish Body Size Distributions on Coral Reefs , 2012, Ecosystems.

[12]  Joseph A. Tainter,et al.  The Collapse of Complex Societies , 1989 .

[13]  Sven Erik Jørgensen,et al.  Ecosystems emerging: 3. Openness , 1999 .

[14]  Owen L. Petchey,et al.  Impacts of Warming on the Structure and Functioning of Aquatic Communities: Individual- to Ecosystem-Level Responses , 2012 .

[15]  Stijn Bruers,et al.  Ecosystem functioning and maximum entropy production: a quantitative test of hypotheses , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[16]  Hua Lin,et al.  The Role of Vegetation on the Ecosystem Radiative Entropy Budget and Trends Along Ecological Succession , 2014, Entropy.

[17]  P. Bak,et al.  Complexity, contingency, and criticality. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Stephen R. Carpenter,et al.  Ecological and Social Dynamics in Simple Models of Ecosystem Management , 1999 .

[19]  Stuart A. Kauffman,et al.  The origins of order , 1993 .

[20]  W. Oechel,et al.  The Cooling Trend of Canopy Temperature During the Maturation, Succession, and Recovery of Ecosystems , 2017, Ecosystems.

[21]  U. M. Scharler,et al.  Ecosystem development during open and closed phases of temporarily open/closed estuaries on the subtropical east coast of South Africa , 2012 .

[22]  Stephen Wolfram,et al.  Universality and complexity in cellular automata , 1983 .

[23]  Gregory G. Brunk Why Do Societies Collapse? , 2002 .

[24]  A. Kurakin Order without design , 2010, Theoretical Biology and Medical Modelling.

[25]  César García-Díaz Diversity and Complexity (Primers in Complex Systems) by Scott Page , 2011, J. Artif. Soc. Soc. Simul..

[26]  M. Parsons,et al.  An adaptive cycle hypothesis of semi‐arid floodplain vegetation productivity in dry and wet resource states , 2016 .

[27]  J. Tainter The Collapse of Complex Societies , 1988 .

[28]  Howard T. Odum,et al.  Environmental Accounting: Emergy and Environmental Decision Making , 1995 .

[29]  Craig R. Allen,et al.  Discontinuities in ecosystems and other complex systems , 2008 .

[30]  T. Katada,et al.  Functional reconstitution of purified muscarinic receptors and inhibitory guanine nucleotide regulatory protein , 1985, Nature.

[31]  Brian D. Fath,et al.  Navigating the adaptive cycle: an approach to managing the resilience of social systems , 2015 .

[32]  Shana M. Sundstrom,et al.  The distribution and role of functional abundance in cross-scale resilience. , 2018, Ecology.

[33]  D. Coomes,et al.  Trends in entropy production during ecosystem development in the Amazon Basin , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[34]  Keith R. Skene Thermodynamics, ecology and evolutionary biology: A bridge over troubled water or common ground? , 2017 .

[35]  Kirsty L Nash,et al.  Detecting spatial regimes in ecosystems. , 2017, Ecology letters.

[36]  D. R. Lockwood,et al.  Grasshopper Population Ecology: Catastrophe, Criticality, and Critique , 2008 .

[37]  Shana M. Sundstrom,et al.  Transdisciplinary Application of Cross-Scale Resilience , 2014 .

[38]  S. Jørgensen,et al.  Ecosystem as self-organizing critical systems , 1998 .

[39]  Bruce Hannon,et al.  Ecological network analysis : network construction , 2007 .

[40]  Christopher G. Langton,et al.  Studying artificial life with cellular automata , 1986 .

[41]  Simone Bastianoni,et al.  Exergy versus emergy flow in ecosystems: Is there an order in maximizations? , 2006 .

[42]  Henry Lin Thermodynamic entropy fluxes reflect ecosystem characteristics and succession , 2015 .

[43]  C. S. Holling Cross-Scale Morphology, Geometry, and Dynamics of Ecosystems , 1992 .

[44]  Simone Bastianoni A New Ecology: Systems Perspective , 2019 .

[45]  Alexei Kurakin,et al.  The universal principles of self-organization and the unity of Nature and knowledge , 2007 .

[46]  Brian D. Fath,et al.  Exergy and Fisher Information as ecological indices , 2004 .

[47]  Hai Ren,et al.  Emergy synthesis of an agro-forest restoration system in lower subtropical China , 2006 .

[48]  C. S. Holling Resilience and Stability of Ecological Systems , 1973 .

[49]  Eric D. Beinhocker The Origin of Wealth - Evolution, Complexity, and the Radical Remaking of Economics , 2007 .

[50]  M. Parsons,et al.  Adaptive cycles of floodplain vegetation response to flooding and drying , 2015 .

[51]  Heriberto Cabezas,et al.  Managing for resilience: early detection of regime shifts in complex systems , 2014, Clean Technologies and Environmental Policy.

[52]  C. Allen,et al.  Quantifying the Adaptive Cycle , 2015, PloS one.

[53]  Henry Lin,et al.  Is spatially integrated entropy production useful to predict the dynamics of ecosystems , 2015 .

[54]  S. Carpenter,et al.  Early Warning Signals of Ecological Transitions: Methods for Spatial Patterns , 2014, PloS one.

[55]  N. Coops,et al.  A forest structure habitat index based on airborne laser scanning data , 2016 .

[56]  Laurence Mee,et al.  Collapse and recovery in a remote small island—A tale of adaptive cycles or downward spirals? , 2009 .

[57]  M. Stroink,et al.  Addiction and the adaptive cycle: A new focus , 2015 .

[58]  Alessandro Ludovisi,et al.  The strategy of ecosystem development: specific dissipation as an indicator of ecosystem maturity. , 2005, Journal of theoretical biology.

[59]  Sergio Ulgiati,et al.  Emergy Indices of Biodiversity and Ecosystem Dynamics , 2010 .

[60]  H. C. Lee,et al.  Quantitative measure of randomness and order for complete genomes. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[61]  W. Parkinson,et al.  Secondary states in perspective: An integrated approach to state formation in the prehistoric Aegean , 2007 .

[62]  W. Cohen,et al.  Lidar Remote Sensing of the Canopy Structure and Biophysical Properties of Douglas-Fir Western Hemlock Forests , 1999 .

[63]  D. Campbell,et al.  Eco-exergy and emergy based self-organization of three forest plantations in lower subtropical China , 2015, Scientific Reports.

[64]  Stephen R. Carpenter,et al.  Pelagic species size distributions in lakes: Are they discontinuous? , 2001 .

[65]  S. Ellner,et al.  Crossing the hopf bifurcation in a live predator-prey system. , 2000, Science.

[66]  Robert E. Ulanowicz,et al.  Ascendency as an ecological indicator: a case study of estuarine pulse eutrophication , 2004 .

[67]  R. Plotnick,et al.  18. Scale-Independent Interpretations of Macroevolutionary Dynamics , 2001 .

[68]  Sandeep Krishna,et al.  Large extinctions in an evolutionary model: The role of innovation and keystone species , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[69]  Craig R. Allen,et al.  Panarchy: Theory and Application , 2014, Ecosystems.

[70]  C. Allen,et al.  Prolonged Instability Prior to a Regime Shift , 2014, PloS one.

[71]  E. Bonabeau Flexibility at the Edge of Chaos: a Clear Example from Foraging in Ants , 1997 .

[72]  A. Ludovisi Exergy vs information in ecological successions: Interpreting community changes by a classical thermodynamic approach , 2009 .

[73]  B. C. Patten,et al.  Complementarity of ecological goal functions. , 2001, Journal of theoretical biology.

[74]  C. S. Holling,et al.  Ecological Resilience, Biodiversity, and Scale , 1998, Ecosystems.

[75]  J. Wiens Spatial Scaling in Ecology , 1989 .

[76]  Jiechen Wang,et al.  The Extraction of Vegetation Points from LiDAR Using 3D Fractal Dimension Analyses , 2015, Remote. Sens..

[77]  Ranjit Kumar Upadhyay,et al.  Dynamics of an ecological model living on the edge of chaos , 2009, Appl. Math. Comput..

[78]  D. Raffaelli,et al.  The textural discontinuity hypothesis: an exploration at a regional level. Shortened version: exploring Holling's TDH , 2016 .

[79]  Simone Bastianoni,et al.  Emergy/exergy ratio as a measure of the level of organization of systems , 1997 .

[80]  Philip Salem The sweet spots in human communication. , 2011, Nonlinear dynamics, psychology, and life sciences.

[81]  B. C. Patten,et al.  Ecosystem growth and development. , 2004, Bio Systems.

[82]  J. Lawton,et al.  Fractal dimension of vegetation and the distribution of arthropod body lengths , 1985, Nature.

[83]  G. Asner,et al.  Mapping tropical forest carbon: Calibrating plot estimates to a simple LiDAR metric , 2014 .

[84]  Brian D. Fath,et al.  Recent progress in systems ecology , 2016 .

[85]  A. Basset,et al.  Testing the effectiveness of exergy-based tools on a seasonal succession in a coastal lagoon by using a size distribution approach , 2012 .

[86]  C. S. Holling,et al.  Resilience and adaptive cycles , 2002 .

[87]  Sonia Kéfi,et al.  How Structured Is the Entangled Bank? The Surprisingly Simple Organization of Multiplex Ecological Networks Leads to Increased Persistence and Resilience , 2016, PLoS biology.

[88]  M. Haraldsson,et al.  Plankton food-web functioning in anthropogenically impacted coastal waters (SW Mediterranean Sea): An ecological network analysis , 2018 .

[89]  K. Lindgren,et al.  Evolutionary dynamics of spatial games , 1994 .

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

[91]  Sven Erik Jørgensen,et al.  Three selected ecological observations interpreted in terms of a thermodynamic hypothesis. Contribution to a general theoretical framework , 2002 .

[92]  P. Nilsson Environmental Accounting—EMERGY and Environmental Decision Making , 1997 .

[93]  C. S. Holling Resilience of ecosystems: local surprise and global change. , 1985 .

[94]  Alexei Kurakin,et al.  Scale-free Flow of Life: On the Biology, Economics, and Physics of the Cell , 2009 .

[95]  Mercedes Pascual,et al.  Criticality and disturbance in spatial ecological systems. , 2005, Trends in ecology & evolution.

[96]  Christopher G. Langton,et al.  Computation at the edge of chaos: Phase transitions and emergent computation , 1990 .

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

[98]  Daniel E. Campbell,et al.  Maximum (em)power: a foundational principle linking man and nature , 2004 .

[99]  Kirsty L Nash,et al.  Discontinuities, cross-scale patterns, and the organization of ecosystems. , 2014, Ecology.

[100]  A. Ludovisi Use of thermodynamic indices as ecological indicators of the development state of lake ecosystems: Specific dissipation , 2006 .

[101]  S. Ernest,et al.  Trade‐offs in Community Properties through Time in a Desert Rodent Community , 2004, The American Naturalist.

[102]  N. Niquil,et al.  Functional Effects of Parasites on Food Web Properties during the Spring Diatom Bloom in Lake Pavin: A Linear Inverse Modeling Analysis , 2011, PloS one.

[103]  Julien Clinton Sprott,et al.  Self-organization and complexity in historical landscape patterns , 2003 .

[104]  Brian D. Fath,et al.  Exergy, information and aggradation: An ecosystems reconciliation , 2006 .

[105]  E. Odum The strategy of ecosystem development. , 1969, Science.

[106]  B. Muys,et al.  Does energy dissipation increase with ecosystem succession? Testing the ecosystem exergy theory combining theoretical simulations and thermal remote sensing observations , 2011 .

[107]  Leon O. Chua,et al.  Neurons are Poised Near the Edge of Chaos , 2012, Int. J. Bifurc. Chaos.

[108]  R. Ulanowicz Ecology, the ascendent perspective , 1997 .

[109]  Berkeley,et al.  Critical transitions in nature and society , 2009, Choice Reviews Online.

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

[111]  R. Ulanowicz Growth and development : ecosystems phenomenology , 1988 .

[112]  Sanjay Jain,et al.  Crashes, recoveries, and "core shifts" in a model of evolving networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[113]  M. Loreau,et al.  Phytoplankton functional diversity increases ecosystem productivity and stability , 2017 .

[114]  Matteo Smerlak,et al.  The predator-prey power law: Biomass scaling across terrestrial and aquatic biomes , 2015, Science.

[115]  U. M. Scharler,et al.  Towards a sounder interpretation of entropy-based indicators in ecological network analysis , 2017 .

[116]  Guy Woodward,et al.  Body size in ecological networks. , 2005, Trends in ecology & evolution.

[117]  Craig R. Allen,et al.  A test of the cross-scale resilience model: Functional richness in Mediterranean-climate ecosystems , 2008 .

[118]  Brian D. Fath,et al.  Application of thermodynamic principles in ecology , 2004 .

[119]  C. Gallagher,et al.  Power laws, discontinuities and regional city size distributions , 2008 .

[120]  Stuart A. Kauffman,et al.  At Home in the Universe , 1995 .

[121]  Econometric modelling in the presence of evolutionary change , 1999 .

[122]  A. Kleidon,et al.  A basic introduction to the thermodynamics of the Earth system far from equilibrium and maximum entropy production , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[123]  C. S. Holling,et al.  Panarchy Understanding Transformations in Human and Natural Systems , 2002 .

[124]  C. Allen,et al.  Discontinuities in ecological data. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[125]  Henrik Jeldtoft Jensen,et al.  The evolution of ecosystem ascendency in a complex systems based model. , 2017, Journal of theoretical biology.

[126]  P. Bak,et al.  Self-organized criticality and punctuated equilibria , 1997, cond-mat/9701157.

[127]  Edward T. Bullmore,et al.  Broadband Criticality of Human Brain Network Synchronization , 2009, PLoS Comput. Biol..

[128]  Marta Coll,et al.  Global Patterns in Ecological Indicators of Marine Food Webs: A Modelling Approach , 2014, PloS one.

[129]  Robert E. Ulanowicz,et al.  Quantifying the complexity of flow networks: How many roles are there? , 2003, Complex..

[130]  A. Kharrazi,et al.  Advancing Empirical Approaches to the Concept of Resilience: A Critical Examination of Panarchy, Ecological Information, and Statistical Evidence , 2016 .

[131]  E. D. Schneider,et al.  Life as a manifestation of the second law of thermodynamics , 1994 .

[132]  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.

[133]  Bai-Lian Li,et al.  Fractal geometry applications in description and analysis of patch patterns and patch dynamics , 2000 .

[134]  A. Ludovisi Effectiveness of entropy-based functions in the analysis of ecosystem state and development , 2014 .

[135]  Audrey L. Mayer,et al.  Fisher Information and dynamic regime changes in ecological systems , 2006 .

[136]  Robert D Holt,et al.  Limits on ecosystem trophic complexity: insights from ecological network analysis. , 2014, Ecology letters.

[137]  Alexei Kurakin,et al.  The PDZ Domain as a Complex Adaptive System , 2007, PloS one.

[138]  M. Flood,et al.  LiDAR remote sensing of forest structure , 2003 .

[139]  Stefan Thurner,et al.  Adaptive self-organization of Bali’s ancient rice terraces , 2017, Proceedings of the National Academy of Sciences.

[140]  Q. Song,et al.  Transition from abstract thermodynamic concepts to perceivable ecological indicators , 2018 .

[141]  Craig R. Allen,et al.  Functional Group Change within and across Scales following Invasions and Extinctions in the Everglades Ecosystem , 2002, Ecosystems.

[142]  Frederic E. Clements,et al.  Nature and Structure of the Climax , 1936 .

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

[144]  S. Jørgensen,et al.  Goal functions, orientors and indicators (GoFOrIt's) in ecology. Application and functional aspects – Strengths and weaknesses , 2013 .

[145]  S. K. Morgan Ernest,et al.  HOMEOSTASIS AND COMPENSATION: THE ROLE OF SPECIES AND RESOURCES IN ECOSYSTEM STABILITY , 2001 .

[146]  Ricard V. Solé,et al.  Connectivity and information transfer in flow networks: Two magic numbers in ecology? , 1990 .

[147]  V. Latora,et al.  The rate of entropy increase at the edge of chaos , 1999, cond-mat/9907412.

[148]  Ichiro Aoki,et al.  Entropy production in living systems : from organisms to ecosystems , 1995 .

[149]  Kirsty L Nash,et al.  Body size distributions signal a regime shift in a lake ecosystem , 2016, Proceedings of the Royal Society B: Biological Sciences.

[150]  B. Drossel,et al.  Biodiversity and ecosystem functioning in evolving food webs , 2016, Philosophical Transactions of the Royal Society B: Biological Sciences.

[151]  Kohei Nakajima,et al.  Self-organized perturbations enhance class IV behavior and 1/f power spectrum in elementary cellular automata , 2011, Biosyst..

[152]  F. Müller Indicating ecosystem and landscape organisation , 2005 .

[153]  Heriberto Cabezas,et al.  Detection and Assessment of Ecosystem Regime Shifts from Fisher Information , 2008 .

[154]  Brian D. Fath,et al.  Adapting the adaptive cycle: Hypotheses on the development of ecosystem properties and services , 2011 .