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Resilience, Self-Organization, Complexity and Pattern Formation

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Patterns of Land Degradation in Drylands

Abstract

Clarity of definitions is fundamental to the successful completion of any interdisciplinary project. In this chapter, we focus on defining a number of key terms that recur throughout the volume, and thus it acts as both a foundation and glossary for understanding the material covered. Ideas of resilience, self-organization and complexity are widely used across in constituent disciplines discussed in Chap. 1, but their use varies and we attempt to define this variation and thus the context of use in the book. There is also a strong emphasis on pattern, so we provide here an initial definition, to be followed up in more detail in Chaps. 7 and 8. We then move onto the specific nature of drylands and the need to understand land degradation within them and through them. How the mode of study affects our understanding is the next theme, in particular how case studies based in different places can be generalized, given the variations in landscape and vegetation type within them. Following an initial summary of the preceding material to evaluate why self-organization and complexity are useful frameworks for understanding patterns and processes in drylands, the chapter concludes with an overview of the deterministic and stochastic frameworks for understanding pattern.

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References

  • Aizen MA, Feinsinger P (1994) Forest fragmentation, pollination, and plant reproduction in a Chaco dry forest, Argentina. Ecology 75:3301–3351

    Google Scholar 

  • Alados CL, ElAich A, Papanastasis VP, Ozbek H, Navarro T, Freitas H, Vrahnakis M, Larrosi D, Cabezudo B (2004) Change in plant spatial patterns and diversity along the successional gradient of Mediterranean grazing ecosystems. Ecol Model 180:523–535

    Google Scholar 

  • Alados CL, Gotor P, Ballester P, Navas T, Escos J, Navarro T, Cabezudo B (2006) Association between competition and facilitation processes and vegetation spatial patterns in alpha steppes. Biol J Linn Soc 87:103–113

    Google Scholar 

  • Alados CL, Navarro T, Komac B, Pascual V, Rietkerk M (2010) Dispersal abilities and spatial patterns in fragmented landscapes. Biol J Linn Soc 100:935–947

    Google Scholar 

  • Ascher W (2001) Coping with complexity and organizational interests in natural resources. Ecosystems 4:742–752

    Google Scholar 

  • Bailey RM (2010) Spatial and temporal signatures of fragility and threshold proximity in modelled semi-arid vegetation. Proc R Soc B. doi:10.1098/rspb.2010.1750

    Google Scholar 

  • Bak P (1996) How nature works: the science of self-organized criticality. Columbia University Press, New York

    Google Scholar 

  • Barbier N, Couteron P, Lejoly J et al (2006) Self-organized vegetation patterning as a fingerprint of climate and human impact on semi-arid ecosystems. J Ecol 94:537–547

    Google Scholar 

  • Bar-Yam Y (1997) Dynamics of complex systems. Addison-Wesley, Reading

    Google Scholar 

  • Beer S (1966) Decision and control: the meaning of operational research and management cybernetics. Wiley, New York

    Google Scholar 

  • Bedau M (1997) Weak emergence. Philos Perspect 11:375–399

    Google Scholar 

  • Beisner BE, Haydon DT, Cuddington K (2003) Alternative stable states in ecology. Front Ecol Environ 1:376–382

    Google Scholar 

  • Bertness MD, Callaway RM (1994) Positive interactions in communities. Trends Ecol Evol 9:191–193

    CAS  Google Scholar 

  • Beven KJ (2000) Uniqueness of place and process representations in hydrological modelling. Hydrol Earth Syst Sci 4:203–213

    Google Scholar 

  • Beven KJ, Kirkby MJ (1979) A physically based, variable contributing area model of basin hydrology. Hydrol Sci Bull 24:43–69

    Google Scholar 

  • Borgogno F, D’Odorico P, Laio F, Ridolfi L (2009) Mathematical models of vegetation pattern formation in ecohydrology. Rev Geophys 47:RG1005

    Google Scholar 

  • Bracken LJ, Croke J (2007) The concept of hydrological connectivity and its contribution to understanding runoff-dominated geomorphic systems. Hydrol Process 21:1749–1763

    Google Scholar 

  • Bracken LJ, Wainwright J (2008) Equilibrium in the balance? Implications for landscape evolution from dryland environments. In: Gallagher K, Jones S, Wainwright J (eds) Landscape evolution: temporal and spatial scales of denudation, climate and tectonics. Geological Society Special Publication, London, pp 29–46

    Google Scholar 

  • Cadenasso ML, Pickett STA, Grove JM (2006) Dimensions of ecosystem complexity: heterogeneity, connectivity, and history. Ecol Complex 3:1–12

    Google Scholar 

  • Canton Y, Domingo F, Sole-Benet A, Puigdefábregas J (2002) Influence of soil-surface types on the overall runoff of the Tabernas badlands (south-east Spain): field data and model approaches. Hydrol Process 16:2621–2643

    Google Scholar 

  • Caylor KK, Scanlon TM, Rodriguez-Iturbe I (2009) Ecohydrological optimization of pattern and processes in water-limited ecosystems: a trade-off-based hypothesis. Water Resour Res 45:W08407. doi:10.1029/2008WR007230

    Google Scholar 

  • Connell JH, Sousa WP (1983) On the evidence needed to judge ecological stability or persistence. Am Nat 121:789–824

    Google Scholar 

  • Cross MC, Hohenberg PC (1993) Pattern-formation outside of equilibrium. Rev Mod Phys 65:851–1123

    CAS  Google Scholar 

  • Cross MC, Hohenberg PC (1994) Spatiotemporal chaos. Science 263:1569–1570

    CAS  Google Scholar 

  • Cumming GS, Collier J (2005) Change and identity in complex systems. Ecol Soc 10:29

    Google Scholar 

  • DeAngelis DL (1980) Energy flow, nutrient cycling, and ecosystem resilience. Ecology 61:764–771

    Google Scholar 

  • DeAngelis DL, Waterhouse JC (1987) Equilibrium and nonequilibrium concepts in ecological models. Ecol Monogr 57:1–21

    Google Scholar 

  • Elmqvist T, Folke C, Nyström M, Peterson G, Bengtsson J, Walker B, Norberg J (2003) Response diversity, eco-system change, and resilience. Front Ecol Environ 1:488–494

    Google Scholar 

  • Frigg R (2003) Self-organised criticality – what it is and what it isn’t. Stud Hist Philos Sci 34:613–632

    Google Scholar 

  • Gallart F, Solé A, Puigdefábregas J, Lazaro R (2001) Badland systems in the Mediterranean. In: Bull LJ, Kirk MJ (eds) Dryland rivers: processes and management in Mediterranean climates. Wiley, Chichester, pp 299–326

    Google Scholar 

  • Gallart F, Latron J, Llorens P, Beven KJ (2008) Upscaling discrete internal observations for obtaining catchment-averaged TOPMODEL parameters in a small Mediterranean mountain basin. Phys Chem Earth 33:1090–1094

    Google Scholar 

  • García-Ojalvo J, Sancho JM (1999) Noise in spatially extended systems. Springer, New York

    Google Scholar 

  • Gershenson C, Heylighen F (2003) When can we call a system self-organizing? In: Banzhaf W, Christaller T, Dittrich P, Kim JT, Ziegler J (eds) Advances in artificial life, 7th European conference, ECAL 2003, Dortmund, Lecture notes in artificial intelligence, vol 2801. Springer, Berlin, pp 606–614

    Google Scholar 

  • Gómez-Plaza A, Martínez-Mena M, Albaladejo J, Castillo VM (2001) Factors regulating spatial distribution of soil water content in small semiarid catchments. J Hydrol 253:211–226

    Google Scholar 

  • Grayson RB, Western W, Chiew FHS, Blöschl G (1997) Preferred states in spatial soil moisture patterns: local and nonlocal controls. Water Resour Res 33:2897–2908

    Google Scholar 

  • Greig-Smith P (1979) Pattern in vegetation. J Ecol 67:755–779

    Google Scholar 

  • Grimm V, Railsback SF (2005) Individual-based modeling and ecology. Princeton University Press, Princeton

    Google Scholar 

  • Grimm V, Wissel C (1997) Babel, or the ecological stability discussions: an inventory and analysis of terminology anda guide for avoiding confusion. Oecologia 109:323–334

    Google Scholar 

  • Grimm V, Revilla E, Berger U et al (2005) Pattern-oriented modeling of agent-based complex systems: lessons from ecology. Science 310:987–991

    Google Scholar 

  • Haken H (1983) Synergetics, an introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry and biology. Springer, Berlin

    Google Scholar 

  • Harrison GW (1979) Stability under environmental stress: resistance, resilience, persistence, and variability. Am Nat 113:659–669

    Google Scholar 

  • Heylighen F (2003) The science of self-organization and adaptivity. In Knowledge management, organizational intelligence and learning, and complexity. The encyclopedia of life support systems, EOLSS, Paris

    Google Scholar 

  • Heylighen F (2009) Complexity and self-organization. In: Bates MJ, Maack MN (eds) Encyclopedia of library and information sciences. CRC Press, Boca Raton

    Google Scholar 

  • Holling CS (1973) Resilience and stability of ecological systems. Annu Rev Ecol Syst 4:1–23

    Google Scholar 

  • Holling CS (1996) Engineering resilience versus ecological resilience. In: Schultz P (ed) Engineering within ecological constraints. National Academy Press, Washington, DC, 224 pp

    Google Scholar 

  • Holling CS, Gunderson LH (2002) Resilience and adaptive cycles. In: Gunderson LH, Holling CS (eds) Panarchy: understanding transformations in human and natural systems. Island Press, Washington, DC, pp 25–62

    Google Scholar 

  • Hutchinson GE (1953) The concept of pattern in ecology. Proc Acad Natl Sci Phila 105:1–12

    Google Scholar 

  • Intergovernmental Panel on Climate Change (IPCC) (2007) Fourth assessment report. http://www.ipcc.ch/

  • Jantsch E (1980) The self-organizing universe: scientific and human implications of the emerging paradigm of evolution. Pergamon Press, Oxford

    Google Scholar 

  • Jeltsch F, Milton SJ, Moloney K (1999) Detecting process from snap-shot pattern – lessons from tree spacing in the southern Kalahari. Oikos 85:451–467

    Google Scholar 

  • Jeltsch F, Weber G, Grimm V (2000) Buffering mechanisms in savannas: a unifying theory of long-term tree-grass coexistence. Plant Ecol 150:161–171

    Google Scholar 

  • Jenerette GD, Barron-Gafford GA, Guswa AJ, McDonnell JJ (2012) Organization of complexity in water limited ecohydrology. Ecohydrology 5:184–199

    Google Scholar 

  • Kauffmann SA (2000) Investigations. Oxford University Press, Oxford

    Google Scholar 

  • Kay JJ (1991) A non-equilibrium thermodynamic framework for discussing ecosystem integrity. Environ Manage 15:483–497

    Google Scholar 

  • Kay JJ, Regier HA, Boyle M, Francis G (1999) An ecosystem approach for sustainability: addressing the challenge of complexity. Futures 31:721–742

    Google Scholar 

  • Kay JJ, Schneider E (1994) Embracing complexity – the challenge of the ecosystem approach. Alternatives 20:32–39

    Google Scholar 

  • Kéfi S, Rietkerk M, Alados CL et al (2007) Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems. Nature 449:213–217

    Google Scholar 

  • Klinkhamer PGL, de Jong TJ, de Bruyn GJ (1989) Plant size and pollinator visitation in Cynoglossum officinale. Oikos 54:201–204

    Google Scholar 

  • Krinsky VI (ed) (1984) Self organization: autotowaves and structures far from equilibrium. Springer, Berlin

    Google Scholar 

  • Lefever R, Barbier N, Couteron P, Lejeune O (2009) Deeply gapped vegetation patterns: on crown/root allometry, criticality and desertification. J Theor Biol 261:194–209

    Google Scholar 

  • Levin SA (1992) The problem of pattern and scale in ecology: the Robert H. MacArthur award lecture. Ecology 73:1943–1967

    Google Scholar 

  • Levin SA (2005) The problem of patter and scale in ecology. Ecology 73:1943–1967

    Google Scholar 

  • Limburg KE, O’Neill RV, Constanza R, Farber S (2002) Complex systems and valuation. Ecol Econ 41:409–420

    Google Scholar 

  • Lise S, Paczuski M (2001) Self-organized criticality and universality in a nonconservative earthquake model. Phys Rev E 63:036111

    CAS  Google Scholar 

  • MacArthur RH (1955) Fluctuations of animal populations and a measure of community stability. Ecology 36:533–536

    Google Scholar 

  • Malanson GP (2004) Considering complexity. Ann Assoc Am Geogr 89:746–753

    Google Scholar 

  • McGarigal K (2006) Landscape pattern metrics. In: El-Shaarawi AH, Piegorsch WW (eds) Encyclopedia of environmetrics. Wiley, Chichester

    Google Scholar 

  • Miehe S, Kluge J, von Wehrden H, Retzer V (2010) Long-term degradation of Sahelian rangeland detected by 27 years of field study in Senegal. J Appl Ecol 47:692–700

    Google Scholar 

  • Millennium Ecosystem Assessment (MEA) (2005) Ecosystems and human well-being: biodiversity synthesis. World Resources Institute, Washington, DC

    Google Scholar 

  • Mueller EN, Wainwright J, Parsons AJ (2007) Impact of connectivity on the modeling of overland flow within semiarid shrubland environments. Water Resour Res 43:W09412

    Google Scholar 

  • Murray JD (2002) Mathematical biology. Springer, New York

    Google Scholar 

  • Newell AC, Passot T, Lega J (1993) Order parameter equations for patterns. Annu Rev Fluid Mech 25:399–453

    Google Scholar 

  • Nicolis G, Prigogine I (1977) Self organization in nonequilibrium systems, from dissipative structures to order through fluctuations. Wiley, Chichester

    Google Scholar 

  • Nicolis G, Prigogine I (1989) Exploring complexity: an introduction. WH Freeman, New York

    Google Scholar 

  • O’Neill RV, De Angelis DL, Waide JB, Allen TFH (1986) A hierarchical concept of ecosystems. Princeton University Press, Princeton

    Google Scholar 

  • Odum HT (1988) Self-organization, transformity, and information. Science 242:1132–1139

    CAS  Google Scholar 

  • Oster GF (1988) Lateral inhibition models of developmental processes. Math Biosci 90:265–286

    Google Scholar 

  • Passot T, Newell AC (1994) Towards a universal theory for natural patterns. Physica D 74:301–352

    Google Scholar 

  • Peterson GD (2002) Contagious disturbance, ecological memory, and the emergence of landscape pattern. Ecosystems 5:329–338

    Google Scholar 

  • Pickett STA, Cadenasso ML (2008) Linking ecological and built components of urban mosaics: an open cycle of ecological design. J Ecol 96:8–12

    Google Scholar 

  • Pimm SL (1991) The balance of nature? University of Chicago Press, Chicago

    Google Scholar 

  • Pueyo Y, Kéfi S, Alados CL, Rietkerk M (2008) Dispersal strategies and spatial organization of vegetation in arid ecosystems. Oikos 117:1522–1532

    Google Scholar 

  • Regüés D, Guàrdia R, Gallart F (2000) Geomorphic agents versus vegetation spreading as causes of badland occurrence in a Mediterranean subhumid mountainous area. Catena 40:173–187

    Google Scholar 

  • Reynolds JF, Stafford Smith DM, Lambin EF, Turner BL II, Mortimore M, Batterbury SPJ, Downing TE, Dowlatabadi H, Fernández RJ, Herrick JE, Huber-Sannwald E, Jiang H, Leemans R, Lynam T, Maestre FT, Ayarza M, Walker B (2007) Global desertification: building a science for dryland development. Science 316:847–851

    CAS  Google Scholar 

  • Rietkerk M, Dekker SC, de Ruiter PC, van de Koppel J (2004) Self-organized patchiness and catastrophic shifts in ecosystems. Science 305:1926–1929

    CAS  Google Scholar 

  • Safriel U, Adeel Z (2008) Development paths of drylands: thresholds and sustainability. Sustain Sci 3:117–123

    Google Scholar 

  • Sagues F, Sancho JM, García-Ojalvo J (2007) Spatio-temporal order out of noise. Rev Mod Phys 79:829

    Google Scholar 

  • Scarsoglio S, Laio F, D’Odorico P, Ridolfi L (2011) Spatial pattern formation induced by Gaussian white noise. Math Biosci 229:174–184

    Google Scholar 

  • Scheffer M, Carpenter S, Foley JA, Folke C, Walker B (2001) Catastrophic shifts in ecosystems. Nature 413:591–596

    CAS  Google Scholar 

  • Scheffer M, Bascompte J, Brock WA, Brovkin V, Carpenter SR, Dakos V, Held H, van Nes EH, Rietkerk M, Sugihara G (2009) Early warning signals for critical transitions. Nature 461:53–59

    CAS  Google Scholar 

  • Solé RV, Bascompte J (2006) Self-organization in complex ecosystems. Princeton University Press, Princeton

    Google Scholar 

  • Stewart J, Parsons AJ, Wainwright J, Okin GS, Bestelmeyer BT, Fredrickson EL, Schlesinger WH (in press) Modelling emergent patterns of dynamic desert ecosystems. Ecol Monogr

    Google Scholar 

  • Stringer LC, Dyer JC, Reed MS, Dougill AJ, Twyman C, Mkwambisi D (2009) Adaptations to climate change, drought and desertification: local insights to enhance policy in southern Africa. Environ Sci Policy 12:748–765

    Google Scholar 

  • Sullivan S, Rohde R (1999) On non-equilibrium in arid and semi-arid grazing systems. J Biogeogr 29:1595–1618

    Google Scholar 

  • Tarquis AM, de Lima JLMP, Krajewski WF, Cheng Q, Gaonach H (2011) Preface “Nonlinear and scaling processes in hydrology and soil science” Nonlin. Process Geophys 18:899–902

    Google Scholar 

  • Turing A (1952) The chemical basis of morphogenesis. Philos Trans R Soc B Biol Sci 237:37–72

    Google Scholar 

  • Turnbull L, Wainwright J, Brazier RE (2008) A conceptual framework for understanding semi-arid land degradation: ecohydrological interactions across multiple-space and time scales. Ecohydrology 1:23–34

    Google Scholar 

  • Turnbull L, Wilcox BP, Belnap J, Ravi S, D’Odorico P, Childers D, Gwenzi W, Okin G, Wainwright J, Caylor KK, Sankey T (2012) Understanding the role of ecohydrological feedbacks in ecosystem state change in drylands. Ecohydrology 5:174–183

    Google Scholar 

  • Turner MG (1989) Landscape ecology: the effect of pattern on process. Ann Rev Ecol Syst 20:171–197

    Google Scholar 

  • Valentin C, d’Herbes JM, Poesen J (1999) Soil and water components of banded vegetation patterns. Catena 37:1–24

    Google Scholar 

  • van Rheede van Outshoorn K, van Rooyen MW (1999) Dispersal biology of desert plants. Springer, New York

    Google Scholar 

  • Vetter S (2005) Rangelands at equilibrium and non-equilibrium: recent developments in the debate. J Arid Environ 62:321–341

    Google Scholar 

  • Wainwright J, Mulligan M (eds) (2012) Environmental modelling: finding the simplicity in complexity, 2nd edn. Wiley, Chichester

    Google Scholar 

  • Wainwright J, Thornes JB (2004) Environmental issues in the Mediterranean: processes and perspectives from the past and present. Routledge, London

    Google Scholar 

  • Walker B, Holling CS, Carpenter SR, Kinzig A (2004) Resilience, adaptability and transformability in social–ecological systems. Ecol Soc 9(2):5

    Google Scholar 

  • Washington-Allen RA, West NE, Ramsey RD, Efroymson RA (2006) A protocol for retrospective remote sensing-based ecological monitoring of rangelands. Rangel Ecol Manage 59:19–29

    Google Scholar 

  • Washington-Allen RA, Ramsey RD, West NE, Norton BE (2008) Quantification of the ecological resilience of drylands using digital remote sensing. Ecol Soc 13:33

    Google Scholar 

  • Watt AS (1947) Pattern and process in the plant community. J Ecol 35:1–22

    Google Scholar 

  • Webb TJ, Raffaelli D (2008) Conversations in conservation: revealing and dealing with language differences in environmental conflicts. J Appl Ecol 45:1198–1204

    Google Scholar 

  • Weber GE, Jeltsch F (2000) Long-term impacts of livestock herbivory on herbaceous and woody vegetation in semiarid savannas. Basic Appl Ecol 1:13–23

    Google Scholar 

  • Wiegand T, Jeltsch F, Hanski I et al (2003) Using pattern-oriented modeling for revealing hidden information: a key for reconciling ecological theory and application. Oikos 100:209–222

    Google Scholar 

  • Wiens J (1984) On understanding a nonequilibrium world: myth and reality in community patterns and processes. In: Strong DR, Simberloff D, Abele LG, Thistle AB (eds) Ecological communities: conceptual issues and the evidence. Princeton University Press, Princeton, pp439–457

    Google Scholar 

  • Wolfram S (2002) A new kind of science. Wolfram Media, Champaign

    Google Scholar 

  • Wu J (1999) Hierarchy and scaling: extrapolating information along a scaling ladder. Can J Remote Sens 25:367–380

    Google Scholar 

  • Wu JG, Hobbs R (2002) Key issues and research priorities in landscape ecology: an idiosyncratic synthesis. Landsc Ecol 17:355–365

    Google Scholar 

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Acknowledgments

This chapter is a contribution to the book Patterns of Land Degradation in Drylands: Understanding Self-Organised Ecogeomorphic Systems, which is the outcome of an ESF-funded Exploratory Workshop – “Self-organized ecogeomorphic systems: confronting models with data for land degradation in drylands” – which was held in Potsdam, Germany, 7–10 June 2010.

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Jeltsch, F. et al. (2014). Resilience, Self-Organization, Complexity and Pattern Formation. In: Mueller, E., Wainwright, J., Parsons, A., Turnbull, L. (eds) Patterns of Land Degradation in Drylands. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5727-1_3

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