View source for Self-organization

{{Short description|Process of creating order by local interactions}}
{{Use American English|date=May 2021}}
{{Use mdy dates|date=May 2021}}
[[File:Nb3O7(OH) self-organization2.jpg|thumb|upright=1.2|Self-organization in micron-sized Nb<sub>3</sub>O<sub>7</sub>(OH) cubes during a [[Hydrothermal synthesis|hydrothermal treatment]] at 200 °C. Initially [[amorphous]] cubes gradually transform into ordered 3D meshes of crystalline [[nanowire]]s as summarized in the model below.<ref>{{Cite journal | doi= 10.1039/C4TA02202E| title= Template-free synthesis of novel, highly-ordered 3D hierarchical Nb<sub>3</sub>O<sub>7</sub>(OH) superstructures with semiconductive and photoactive properties| journal= Journal of Materials Chemistry A| volume= 2| issue= 30| page= 12005| year= 2014| last1= Betzler | first1= S. B. | last2= Wisnet | first2= A. | last3= Breitbach | first3= B. | last4= Mitterbauer | first4= C. | last5= Weickert | first5= J. | last6= Schmidt-Mende | first6= L. | last7= Scheu | first7= C. |doi-access= free| url= https://kops.uni-konstanz.de/bitstream/123456789/28968/1/Betzler_289681.pdf}}</ref>]]
{{Complex systems}}

'''Self-organization''', also called [[spontaneous order]] in the [[social science]]s, is a process where some form of overall [[order and disorder|order]] arises from local interactions between parts of an initially disordered [[system]]. The process can be spontaneous when sufficient energy is available, not needing control by any external agent. It is often triggered by seemingly random [[Statistical fluctuations|fluctuations]], amplified by [[positive feedback]]. The resulting organization is wholly decentralized, [[:wikt:distribute|distributed]] over all the components of the system. As such, the organization is typically [[Robustness|robust]] and able to survive or [[self-healing material|self-repair]] substantial [[perturbation theory|perturbation]]. [[Chaos theory]] discusses self-organization in terms of islands of [[predictability]] in a sea of chaotic unpredictability.

Self-organization occurs in many [[physics|physical]], [[chemistry|chemical]], [[biology|biological]], [[robotics|robotic]], and [[cognitive]] systems. Examples of self-organization include [[crystallization]], thermal [[convection]] of fluids, [[chemical oscillator|chemical oscillation]], animal [[swarming]], [[neural circuit]]s, and [[black market]]s.

== Overview ==
Self-organization is realized<ref name="G&P 1971">Glansdorff, P., Prigogine, I. (1971). [https://books.google.com/books?id=vf9QAAAAMAAJ ''Thermodynamic Theory of Structure, Stability and Fluctuations''], London: Wiley-Interscience {{ISBN|0-471-30280-5}}</ref> in the [[Extremal principles in non-equilibrium thermodynamics|physics of non-equilibrium processes]], and in [[chemical reaction]]s, where it is often characterized as [[self-assembly]]. The concept has proven useful in biology, from the molecular to the [[ecosystem]] level.<ref name=":0">Compare: {{cite book| last1=Camazine| first1=Scott| title=Self-organization in Biological Systems| url= https://books.google.com/books?id=zMgyNN6Ufj0C |series= Princeton studies in complexity| edition= reprint| publisher=Princeton University Press| publication-date=2003| isbn=978-0-691-11624-2| access-date= 2016-04-05| year=2003}}</ref> Cited examples of self-organizing behavior also appear in the literature of many other disciplines, both in the [[natural sciences]] and in the [[social sciences]] (such as [[economics]] or [[anthropology]]). Self-organization has also been observed in mathematical systems such as  [[cellular automaton|cellular automata]].<ref name=":1">{{cite book| last1=Ilachinski| first1=Andrew| title= Cellular Automata: A Discrete Universe| url=https://books.google.com/books?id=3Hx2lx_pEF8C| publisher= World Scientific| publication-date=2001| page=247| isbn= 978-981-238-183-5| quote= We have already seen ample evidence for what is arguably the single most impressive general property of CA, namely their capacity for self-organization| year=2001}}</ref> Self-organization is an example of the related concept of [[emergence]].<ref>{{cite book |author= Feltz, Bernard |display-authors= etal |date= 2006 |title= Self-organization and Emergence in Life Sciences |isbn=978-1-4020-3916-4 |page=1|publisher= Springer }}</ref>

Self-organization relies on four basic ingredients:<ref>{{cite book |author1=Bonabeau, Eric |author2= Dorigo, Marco |author3= Theraulaz, Guy |date= 1999 |title= Swarm intelligence: from natural to artificial systems |isbn= 978-0-19-513159-8|publisher= OUP|pages= 9–11|url= https://books.google.com/books?id=PvTDhzqMr7cC}}</ref>
# strong dynamical non-linearity, often (though not necessarily) involving  [[Positive feedback|positive]] and [[negative feedback]]
# balance of exploitation and exploration
# multiple interactions among components 
# availability of energy (to overcome the natural tendency toward [[entropy]], or loss of free energy)

==Principles==
The cybernetician [[William Ross Ashby]] formulated the original principle of self-organization in 1947.<ref name="ashby1947">{{Cite journal | doi=10.1080/00221309.1947.9918144| pmid=20270223| title=Principles of the Self-Organizing Dynamic System| journal=The Journal of General Psychology| volume=37| issue=2| pages=125–28| year=1947| last1=Ashby | first1=W. R.}}</ref><ref>Ashby, W. R. (1962). [http://csis.pace.edu/~marchese/CS396x/Computing/Ashby.pdf "Principles of the self-organizing system"], pp. 255–78 in ''Principles of Self-Organization''. [[Heinz von Foerster]] and George W. Zopf, Jr. (eds.) U.S. Office of Naval Research.</ref> It states that any deterministic [[dynamic system]] automatically evolves towards a state of equilibrium that can be described in terms of an [[attractor]] in a [[Attractor|basin]] of surrounding states. Once there, the further evolution of the system is constrained to remain in the attractor. This constraint implies a form of mutual dependency or coordination between its constituent components or subsystems. In Ashby's terms, each subsystem has adapted to the environment formed by all other subsystems.<ref name=ashby1947/>

The cybernetician [[Heinz von Foerster]] formulated the principle of "[[order and disorder|order]] from [[noise (signal processing)|noise]]" in 1960.<ref>Von Foerster, H. (1960). [http://e1020.pbworks.com/f/fulltext.pdf "On self-organizing systems and their environments"], pp. 31–50 in ''Self-organizing systems''. M.C. Yovits and S. Cameron (eds.), Pergamon Press, London</ref> It notes that self-organization is facilitated by random perturbations ("noise") that let the system explore a variety of states in its state space. This increases the chance that the system will arrive into the basin of a "strong" or "deep" attractor, from which it then quickly enters the attractor itself. The biophysicist [[Henri Atlan]] developed this concept by proposing the principle of "[[complexity]] from noise"<ref>See [https://www.google.com/search?&tbm=bks&q=inauthor:%22Henri+Atlan%22%22complexity+from+noise%22 occurrences] on [[Google Books]].</ref><ref>{{cite book |editor-last=François |editor-first=Charles |editor-link=Charles François (systems scientist) |title=International Encyclopedia of Systems and Cybernetics |year=2011 |orig-date=1997 |edition=2nd |publisher=[[Walter de Gruyter]] |location=[[Berlin]] |page=[https://books.google.com/books?id=XCn2mn98uEAC&dq=%22complexity+from+noise+principle%22+Atlan+1972&pg=PA107 107] |isbn=978-3-11-096801-9 |title-link=International Encyclopedia of Systems and Cybernetics }}</ref> ({{langx|fr|le principe de complexité par le bruit}})<ref>See [https://www.google.com/search?&tbm=bks&q=inauthor:%22Henri+Atlan%22%22complexité+par+le+bruit%22 occurrences] on Google Books.</ref> first in the 1972 book ''L'organisation biologique et la théorie de l'information'' and then in the 1979 book ''Entre le cristal et la fumée''. The physicist and chemist [[Ilya Prigogine]] formulated a similar principle as "order through fluctuations"<ref>Nicolis, G. and Prigogine, I. (1977). ''Self-organization in nonequilibrium systems: From dissipative structures to order through fluctuations''. Wiley, New York.</ref> or "order out of chaos".<ref>Prigogine, I. and Stengers, I. (1984). ''Order out of chaos: Man's new dialogue with nature''. Bantam Books.</ref> It is applied in the method of [[simulated annealing]] for [[problem solving]] and [[machine learning]].<ref>{{cite journal |last1=Ahmed |first1=Furqan |title=Simulated annealing variants for self-organized resource allocation in small cell networks |journal=Applied Soft Computing |last2=Tirkkonen |first2=Olav |date=January 2016 |volume=38|pages=762–70 |doi=10.1016/j.asoc.2015.10.028 |s2cid=10126852 }}</ref>

{{Anchor|Human society}}

==History==
{{further|Spontaneous order}}

The idea that the [[Dynamics (mechanics)|dynamics]] of a system can lead to an increase in its organization has a long history. The ancient [[atomism|atomists]] such as [[Democritus]] and [[Lucretius]] believed that a designing intelligence is unnecessary to create order in nature, arguing that given enough time and space and matter, order emerges by itself.<ref>{{cite book |last1 =Palmer |first1= Ada |author-link1= Ada Palmer |title= Reading Lucretius in the Renaissance |date= October 2014|publisher= Harvard University Press |isbn= 978-0-674-72557-7|quote= Ada Palmer explores how Renaissance readers, such as Machiavelli, Pomponio Leto, and Montaigne, actually ingested and disseminated Lucretius, ... and shows how ideas of emergent order and natural selection, so critical to our current thinking, became embedded in Europe’s intellectual landscape before the seventeenth century. |url= http://www.hup.harvard.edu/catalog.php?isbn=978-0-674-72557-7<!--url for quote-->}}</ref>

The philosopher [[René Descartes]] presents self-organization hypothetically in the fifth part of his 1637 ''[[Discourse on Method]]''. He elaborated on the idea in his unpublished work ''[[The World (Descartes)|The World]]''.{{efn|For related history, see Aram Vartanian, ''Diderot and Descartes''.}}

[[Immanuel Kant]] used the term "self-organizing" in his 1790 ''[[Critique of Judgment]]'', where he argued that [[teleology]] is a meaningful concept only if there exists such an entity whose parts or "organs" are simultaneously ends and means. Such a system of organs must be able to behave as if it has a mind of its own, that is, it is capable of governing itself.<ref name=Kant>{{cite book|title= German Aesthetic|url= https://books.google.com/books?id=eC88AAAAIAAJ&pg=PA64|publisher= CUP Archive|pages= 64–|id= GGKEY:TFTHBB91ZH2}}</ref>

{{blockquote|In such a natural product as this every part is thought as ''owing'' its presence to the agency of all the remaining parts, and also as existing ''for the sake of the others'' and of the whole, that is as an instrument, or organ... The part must be an organ ''producing'' the other parts—each, consequently, reciprocally producing the others... Only under these conditions and upon these terms can such a product be an ''organized'' and ''self-organized'' being, and, as such, be called a ''physical end''.<ref name=Kant/>}}

[[Nicolas Léonard Sadi Carnot|Sadi Carnot]] (1796–1832) and [[Rudolf Clausius]] (1822–1888) discovered the [[second law of thermodynamics]] in the 19th century. It states that total [[entropy]], sometimes understood as disorder, will always increase over time in an [[isolated system]]. This means that a system cannot spontaneously increase its order without an external relationship that decreases order elsewhere in the system (e.g. through consuming the low-entropy energy of a battery and diffusing high-entropy heat).<ref>[[Nicolas Léonard Sadi Carnot|Carnot, S.]] (1824/1986). [https://www.worldcat.org/oclc/812944517 ''Reflections on the motive power of fire''], Manchester University Press, Manchester, {{ISBN|0-7190-1741-6}}</ref><ref>{{cite journal |last= Clausius |first= R. |author1-link= Rudolf Clausius|title= Ueber die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten Lassen |journal= Annalen der Physik |year= 1850|volume= 79 |issue= 4 |pages= 368–97, 500–24 |url= http://gallica.bnf.fr/ark:/12148/bpt6k15164w/f518.image |doi= 10.1002/andp.18501550403 |bibcode = 1850AnP...155..500C |hdl= 2027/uc1.$b242250 |hdl-access= free }} Translated into English: {{cite journal|last= Clausius |first= R. |title= On the Moving Force of Heat, and the Laws regarding the Nature of Heat itself which are deducible therefrom|journal= London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science |date= July 1851 |volume= 2 |series= 4th |issue= VIII |pages= 1–21, 102–19 |url= https://archive.org/stream/londonedinburghd02lond#page/1/mode/1up|access-date= 26 June 2012|doi= 10.1080/14786445108646819 }}</ref>

18th-century thinkers had sought to understand the "universal laws of form" to explain the observed forms of living organisms. This idea became associated with [[Lamarckism]] and fell into disrepute until the early 20th century, when [[D'Arcy Wentworth Thompson]] (1860–1948) attempted to revive it.<ref name=Ruse>{{cite book |author1= Ruse, Michael |editor1-last= Henning |editor1-first= Brian G. |editor2-last= Scarfe |editor2-first= Adam |title= Beyond Mechanism: Putting Life Back Into Biology |date= 2013 |publisher= Lexington Books |page= 419 |url= https://books.google.com/books?id=3VtosxAtq-EC|chapter= 17. From Organicism to Mechanism-and Halfway Back?|isbn= 978-0-7391-7437-1 }}</ref>

The psychiatrist and engineer [[William Ross Ashby|W. Ross Ashby]] introduced the term "self-organizing" to contemporary science in 1947.<ref name=ashby1947/> It was taken up by the cyberneticians [[Heinz von Foerster]], [[Gordon Pask]], [[Anthony Stafford Beer|Stafford Beer]]; and von Foerster organized a conference on "The Principles of Self-Organization" at the University of Illinois' Allerton Park in June, 1960 which led to a series of conferences on Self-Organizing Systems.<ref>Asaro, P. (2007). [http://peterasaro.org/writing/Asaro%20HVF%26BCL.pdf "Heinz von Foerster and the Bio-Computing Movements of the 1960s"] in Albert Müller and [[Karl H. Müller]] (eds.) ''An Unfinished Revolution? Heinz von Foerster and the Biological Computer Laboratory'' BCL 1958–1976. Vienna, Austria: Edition Echoraum.</ref> [[Norbert Wiener]] took up the idea in the second edition of his ''Cybernetics: or Control and Communication in the Animal and the Machine'' (1961).

Self-organization was associated{{by whom|date=May 2018}} with [[systems theory|general systems theory]] in the 1960s, but did not become commonplace in the scientific literature until physicists [[Synergetics (Haken)|Hermann Haken]] et al. and [[complex system]]s researchers adopted it in a greater picture from cosmology [[Erich Jantsch#The Self-Organizing Universe, 1979|Erich Jantsch]],{{clarify|date=May 2018}} chemistry with [[dissipative system]], biology and sociology as [[autopoiesis]] to [[system thinking]] in the following 1980s ([[Santa Fe Institute]]) and 1990s ([[complex adaptive system]]), until our days with the disruptive [[emerging technologies]] profounded by a [[Rhizome (philosophy)|rhizomatic]] [[network theory]].<ref>
As an indication of the increasing importance of this concept, when queried with the keyword <code>self-organ*</code>, ''Dissertation Abstracts'' finds nothing before 1954, and only four entries before 1970. There were 17 in the years 1971–1980; 126 in 1981–1990; and 593 in 1991–2000.
</ref> {{Original research inline|date=January 2022}}

Around 2008–2009, a concept of guided self-organization started to take shape. This approach aims to regulate self-organization for specific purposes, so that a [[dynamical system]] may reach specific attractors or outcomes. The regulation constrains a self-organizing process within a [[complex system]] by restricting local interactions between the system components, rather than following an explicit control mechanism or a global design blueprint.  The desired outcomes, such as increases in the resultant internal structure and/or functionality, are achieved by combining task-independent global objectives with task-dependent constraints on local interactions.<ref>Phys.org, [https://phys.org/news/2014-02-self-organizing-robots-robotic-crew-foreman.html Self-organizing robots: Robotic construction crew needs no foreman (w/ video)], February 13, 2014.</ref><ref>Science Daily, [https://www.sciencedaily.com/releases/2015/10/151027123342.htm  Robotic systems: How sensorimotor intelligence may develop... self-organized behaviors ], October 27, 2015.</ref>

==By field==
[[File:ConvectionCells.svg|thumb|[[Convection cell]]s in a gravity field]]

===Physics===
{{See also|Self-assembly|Self-assembly of nanoparticles}}
The many self-organizing phenomena in [[physics]] include [[phase transition]]s and [[spontaneous symmetry breaking]] such as [[spontaneous magnetization]] and [[crystal growth]] in [[classical physics]], and the [[laser]],<ref>[[Zeiger, H. J.]] and Kelley, P. L. (1991) "Lasers", pp. 614–19 in ''The Encyclopedia of Physics'', Second Edition, edited by Lerner, R. and Trigg, G., VCH Publishers.</ref> [[superconductivity]] and [[Bose–Einstein condensation]] in [[quantum physics]]. Self-organization is found in [[self-organized criticality]] in [[dynamical system]]s, in [[tribology]], in [[spin foam]] systems, and in [[loop quantum gravity]],<ref>Ansari M. H. (2004) [https://arxiv.org/abs/hep-th/0412307 Self-organized theory in quantum gravity]. arxiv.org</ref> 
in [[plasma (physics) | plasma]],<ref>
{{cite journal
| last1                 = Lozeanu
| first1                = Erzilia
| last2                 = Popescu
| first2                = Virginia
| last3                 = Sanduloviciu
| first3                = Mircea
| title                 = Spatial and spatiotemporal patterns formed after self-organization in plasma
| journal               = IEEE Transactions on Plasma Science
| publication-date      = February 2002
| volume                = 30
| issue                 = 1
| pages = 30–31
| doi = 10.1109/TPS.2002.1003908
| bibcode = 2002ITPS...30...30L
}}
</ref>
in river basins and deltas, in dendritic solidification (snow flakes), in capillary [[imbibition]]<ref name="YasugaIseri2021">{{cite journal|last1= Yasuga|first1= Hiroki|last2= Iseri|first2=Emre|last3=Wei|first3=Xi|last4=Kaya|first4=Kerem|last5=Di Dio|first5= Giacomo |last6= Osaki|first6= Toshihisa|last7= Kamiya|first7= Koki|last8= Nikolakopoulou|first8= Polyxeni|last9= Buchmann|first9= Sebastian|last10= Sundin|first10= Johan|last11= Bagheri |first11= Shervin|last12= Takeuchi|first12= Shoji|last13= Herland|first13= Anna|last14= Miki |first14=Norihisa|last15=van der Wijngaart|first15=Wouter|title=Fluid interfacial energy drives the emergence of three-dimensional periodic structures in micropillar scaffolds|journal=Nature Physics|year=2021|volume=17|issue=7|pages=794–800|issn=1745-2473|doi= 10.1038/s41567-021-01204-4|bibcode= 2021NatPh..17..794Y|s2cid= 233702358}}</ref> and in turbulent structure.<ref name=":0" /><ref name=":1" />

===Chemistry===
[[File:DNA nanostructures.png|thumb|The DNA structure shown schematically at left self-assembles into the structure at right<ref>{{cite journal |author=Strong, M. |journal=[[PLOS Biology]] |title=Protein Nanomachines |volume=2|issue=3 |year=2004 |pages=e73–e74 |doi=10.1371/journal.pbio.0020073 |pmid=15024422 |pmc=368168 |doi-access=free }}</ref>]]

Self-organization in [[chemistry]] includes drying-induced self-assembly,<ref>{{cite journal | last1 = Carroll | first1 = GT | last2 = Jongejan | first2 = MGM | last3 = Pijper | first3 = D | last4 = Feringa | first4 = BL | year = 2010 | title = Spontaneous generation and patterning of chiral polymeric surface toroids  | doi = 10.1039/C0SC00159G | journal = Chemical Science | volume =  1| issue = 4 | pages = 469–472 | s2cid = 96957407 | url = https://pure.rug.nl/ws/files/2559399/2010ChemSciCarroll2Supp.pdf }}</ref> [[molecular self-assembly]],<ref>{{cite journal|author=Lehn, J.-M. |journal=[[Angewandte Chemie International Edition in English|Angew. Chem. Int. Ed. Engl.]] |title=Perspectives in Supramolecular Chemistry-From Molecular Recognition towards Molecular Information Processing and Self-Organization |volume=27 |issue=11 |year=1988 |pages=89–121 |doi=10.1002/anie.198800891}}</ref> [[reaction–diffusion]] systems and [[oscillating reaction]]s,<ref>{{cite journal | doi=10.1021/ja01439a007 | year=1921 | author=Bray, William C. | journal=Journal of the American Chemical Society | volume=43 | pages=1262–67 | issue=6 |title=A periodic reaction in homogeneous solution and its relation to catalysis.| bibcode=1921JAChS..43.1262B | url=https://zenodo.org/record/1428808 }}</ref> [[autocatalysis|autocatalytic]] networks, [[liquid crystal]]s,<ref>{{cite journal |url=http://www.csupomona.edu/~jarego/pubs/RD2_LC.pdf |title=Asymmetric synthesis of a highly soluble 'trimeric' analogue of the chiral nematic liquid crystal twist agent Merck S1011 |last1=Rego |first1=J.A. |last2=Harvey |first2=Jamie A.A. |last3=MacKinnon |first3=Andrew L. |last4=Gatdula |first4=Elysse |journal=Liquid Crystals |volume=37 |issue=1 |date=January 2010 |pages=37–43 |doi=10.1080/02678290903359291 |s2cid=95102727 |url-status=dead |archive-url=https://web.archive.org/web/20121008152304/http://www.csupomona.edu/~jarego/pubs/RD2_LC.pdf |archive-date=2012-10-08}}</ref> [[grid complex]]es, [[colloidal crystals]], [[self-assembled monolayer]]s,<ref>{{cite journal|last1=Love|title= Self-Assembled Monolayers of Thiolates on Metals as a Form of Nanotechnology |journal=Chem. Rev. |year=2005 |volume=105 |pages=1103–70 |doi=10.1021/cr0300789 |last2=Estroff |first2=Lara A. |last3=Kriebel |first3=Jennah K.|last4=Nuzzo|first4=Ralph G. |last5=Whitesides |first5=George M. |pmid=15826011 |issue=4 |display-authors= 1}}</ref><ref name="Raval2003">{{cite journal|last=Barlow |first=S.M.|author2=Raval R.. |title=Complex organic molecules at metal surfaces: bonding, organization and chirality |journal=Surface Science Reports |year=2003 |volume=50 |issue=6–8 |pages=201–341 |doi=10.1016/S0167-5729(03)00015-3 |bibcode=2003SurSR..50..201B }}</ref> [[micelle]]s, microphase separation of block [[copolymer]]s, and [[Langmuir–Blodgett film]]s.<ref>{{Cite journal | doi=10.1038/srep34095 | title=Large Area Fabrication of Semiconducting Phosphorene by Langmuir-Blodgett Assembly| journal=Sci. Rep.| volume=6| article-number=34095| year=2016| last1=Ritu | first1=Harneet | pmid=27671093 | pmc=5037434| arxiv=1605.00875| bibcode=2016NatSR...634095K}}</ref>

{{anchor|Biology}}

===Biology===
{{further|Biological organization}}
[[File:Sort sol ved Ørnsø 2007.jpg|right|thumb|Birds [[Swarm behavior|flocking]] (boids in Blender), an example of self-organization in biology]]

Self-organization in [[biology]]<ref>Camazine, Deneubourg, Franks, Sneyd, Theraulaz, Bonabeau, ''Self-Organization in Biological Systems'', [[Princeton University|Princeton University Press]], 2003. {{ISBN|0-691-11624-5}}</ref> can be observed in spontaneous [[Protein folding|folding of proteins]] and other biomacromolecules, [[self-assembly]] of [[lipid bilayer]] membranes, [[pattern formation]] and [[morphogenesis]] in [[developmental biology]], the coordination of human movement, [[Eusociality|eusocial behavior]] in [[insect]]s ([[bee]]s, [[ant]]s, [[termite]]s)<ref>{{cite journal|last1=Bonabeau|first1=Eric |display-authors=etal |title=Self-organization in social insects|journal=Trends in Ecology & Evolution|date=May 1997|volume=12|issue=5|pages=188–93|doi=10.1016/S0169-5347(97)01048-3|pmid=21238030 |bibcode=1997TEcoE..12..188B |url=https://dipot.ulb.ac.be/dspace/bitstream/2013/19269/1/020BonabeauTrendsEcologyEvolution97.pdf }}</ref> and [[mammal]]s, and [[swarm behavior|flocking]] behavior in birds and fish.<ref>{{cite journal |last1=Couzin |first1=Iain D. |last2=Krause |first2=Jens |title=Self-Organization and Collective Behavior in Vertebrates |journal=Advances in the Study of Behavior |date=2003 |volume=32 |pages=1–75 |url=http://icouzin.princeton.edu/wp-content/uploads/file/PDFs/Couzin%20and%20Krause,%202003.pdf |url-status=dead |archive-url=https://web.archive.org/web/20161220075600/http://icouzin.princeton.edu/wp-content/uploads/file/PDFs/Couzin%20and%20Krause,%202003.pdf |archive-date=2016-12-20|doi=10.1016/S0065-3454(03)01001-5 |isbn=978-0-12-004532-7 }}</ref>

The mathematical biologist [[Stuart Kauffman]] and other [[Structuralism (biology)|structuralists]] have suggested that self-organization may play roles alongside [[natural selection]] in three areas of [[evolutionary biology]], namely [[population dynamics]], [[molecular evolution]], and [[morphogenesis]]. However, this does not take into account the essential role of [[energy]] in driving biochemical reactions in cells. The systems of reactions in any cell are [[catalysis|self-catalyzing]], but not simply self-organizing, as they are [[open system (thermodynamics)|thermodynamically open systems]] relying on a continuous input of energy.<ref>{{cite journal |last1=Fox |first1=Ronald F. |title=Review of Stuart Kauffman, The Origins of Order: Self-Organization and Selection in Evolution |journal=Biophys. J. |date=December 1993 |volume=65 |issue=6 |pages=2698–99 |pmc=1226010 |doi=10.1016/s0006-3495(93)81321-3 |bibcode=1993BpJ....65.2698F}}</ref><ref>{{cite encyclopedia |author=Goodwin, Brian |author-link=Brian Goodwin |title=Beyond the Darwinian Paradigm: Understanding Biological Forms |encyclopedia=Evolution: The First Four Billion Years |editor1=Ruse, Michael |editor1-link=Michael Ruse |editor2=Travis, Joseph |publisher=Harvard University Press, Cambridge |date=2009}}</ref> Self-organization is not an alternative to natural selection, but it constrains what evolution can do and provides mechanisms such as the self-assembly of membranes which evolution then exploits.<ref>{{cite journal |last1=Johnson |first1=Brian R. |last2=Lam |first2=Sheung Kwam |title=Self-organization, Natural Selection, and Evolution: Cellular Hardware and Genetic Software |journal=BioScience |date=2010|volume=60 |issue=11 |pages=879–85 |doi=10.1525/bio.2010.60.11.4 |s2cid=10903076 }}</ref>

The evolution of order in living systems and the generation of order in certain non-living systems was proposed to obey a common fundamental principal called “the Darwinian dynamic”<ref>Bernstein H, Byerly HC, Hopf FA, Michod RA, Vemulapalli GK. (1983) The Darwinian Dynamic. Quarterly Review of Biology 58, 185–207. {{JSTOR|2828805}}</ref> that was formulated by first considering how microscopic order is generated in simple non-biological systems that are far from [[thermodynamic equilibrium]].  Consideration was then extended to short, replicating [[RNA]] molecules assumed to be similar to the earliest forms of life in the [[RNA world]].  It was shown that the underlying order-generating processes of self-organization in the non-biological systems and in replicating RNA are basically similar.

===Cosmology===
In his 1995 conference paper "Cosmology as a problem in critical phenomena" [[Lee Smolin]] said that several cosmological objects or phenomena, such as [[spiral galaxies]], [[galaxy formation]] processes in general, [[Structure formation|early structure formation]], [[quantum gravity]] and the [[large scale structure of the universe]] might be the result of or have involved certain degree of self-organization.<ref>{{cite conference |last1=Smollin |first1=Lee |title=Cosmology as a problem in critical phenomena  |book-title=Complex Systems and Binary Networks: Guanajuato Lectures Held at Guanajuato, México 16–22 January 1995 |editor=Ramón López-Peña |editor2=Henri Waelbroeck |editor3=Riccardo Capovilla |editor4=Ricardo García-Pelayo |editor5=Federico Zertuche |date=1995 |volume=461-461 |doi=10.1007/BFb0103573 |arxiv=gr-qc/9505022}}</ref> He argues that self-organized systems are often [[critical system]]s, with structure spreading out in space and time over every available scale, as shown for example by [[Per Bak]] and his collaborators. Therefore, because the [[distribution of matter in the universe]] is more or less scale invariant over many orders of magnitude, ideas and strategies developed in the study of self-organized systems could be helpful in tackling certain [[Unsolved problems in astronomy|unsolved problems in cosmology and astrophysics]].

===Computer science===
Phenomena from [[mathematics]] and [[computer science]] such as [[cellular automaton|cellular automata]], [[random graph]]s, and some instances of [[evolutionary computation]] and [[artificial life]] exhibit features of self-organization. In [[swarm robotics]], self-organization is used to produce emergent behavior. In particular the theory of random graphs has been used as a justification for self-organization as a general principle of complex systems. In the field of [[multi-agent systems]], understanding how to engineer systems that are capable of presenting self-organized behavior is an active research area.<ref>{{cite journal|last1=Serugendo |first1=Giovanna Di Marzo |display-authors=etal |title=Self-organization in multi-agent systems |journal=Knowledge Engineering Review|date=June 2005|volume=20|issue=2|pages=165–89|doi=10.1017/S0269888905000494|s2cid=41179835 |url=https://archive-ouverte.unige.ch/unige:120878 }}</ref> [[Optimization algorithm]]s can be considered self-organizing because they aim to find the optimal solution to a problem. If the solution is considered as a state of the iterative system, the optimal solution is the selected, converged structure of the system.<ref>{{Cite journal | doi=10.1007/s00521-013-1498-4| title=A framework for self-tuning optimization algorithm| journal=Neural Computing and Applications| volume=23| issue=7–8| pages=2051–57| year=2013| last1=Yang | first1=X. S. | last2=Deb | first2=S. | last3=Loomes | first3=M. | last4=Karamanoglu | first4=M. | arxiv=1312.5667| bibcode=2013arXiv1312.5667Y| s2cid=1937763}}</ref><ref>X. S. Yang (2014) ''Nature-Inspired Optimization Algorithms'', Elsevier.</ref> [[Self-organizing networks]] include [[small-world network]]s<ref>{{cite journal|last1=Watts|first1=Duncan J.|last2=Strogatz|first2=Steven H.|title=Collective dynamics of 'small-world' networks|journal=Nature|date=June 1998|volume=393|issue=6684|pages=440–42|doi=10.1038/30918|pmid=9623998|bibcode=1998Natur.393..440W|s2cid=4429113}}</ref> [[self-stabilization]]<ref>{{cite journal|last1=Dolev|first1=Shlomi|last2=Tzachar|first2=Nir|title=Empire of colonies: Self-stabilizing and self-organizing distributed algorithm.|journal=Theoretical Computer Science| year=2009 | volume=410 |issue=6–7| pages=514–532|doi=10.1016/j.tcs.2008.10.006|doi-access=free}}</ref> and [[scale-free network]]s. These emerge from bottom-up interactions, unlike top-down hierarchical networks within organizations, which are not self-organizing.<ref name="Clauset">{{Cite journal | doi=10.1137/070710111| last=Clauset| first=Aaron| author2=Cosma Rohilla Shalizi |author3=M. E. J Newman | title=Power-law distributions in empirical data| journal=SIAM Review| year=2009| arxiv=0706.1062 |bibcode=2009SIAMR..51..661C | volume=51 | issue=4| pages=661–703| s2cid=9155618}}</ref> Cloud computing systems have been argued to be inherently self-organizing,<ref>{{Cite journal|last=Zhang, Q., Cheng, L., and Boutaba, R.|date=2010|title=Cloud computing: state-of-the-art and research challenges|journal=Journal of Internet Services and Applications|volume=1|issue=1|pages=7–18|doi=10.1007/s13174-010-0007-6|doi-access=free|hdl=20.500.12749/3552|hdl-access=free}}</ref> but while they have some autonomy, they are not self-managing as they do not have the goal of reducing their own complexity.<ref>{{Cite arXiv|last1=Marinescu |first1=D. C. |last2=Paya |first2=A. |last3=Morrison |first3=J. P. |last4=Healy |first4=P. |date=2013|title=An auction-driven self-organizing cloud delivery model |eprint=1312.2998|class=cs.DC }}</ref><ref>{{Cite book|last=Lynn |title=Proceedings of the 6th International Conference on Cloud Computing and Services Science |chapter=CLOUDLIGHTNING: A Framework for a Self-organizing and Self-managing Heterogeneous Cloud |display-authors=etal |date=2016 |chapter-url=http://www.scitepress.org/DigitalLibrary/PublicationsDetail.aspx?ID=cHtD7x49Rn8=&t=1 |pages=333–338 |doi=10.5220/0005921503330338|isbn=978-989-758-182-3|doi-access=free }}</ref>

===Cybernetics===
{{main|Self-organization in cybernetics}}

[[Norbert Wiener]] regarded the automatic serial [[System identification|identification]] of a [[black box]] and its subsequent reproduction as self-organization in [[cybernetics]].<ref>Wiener, Norbert (1962) "The mathematics of self-organizing systems". ''Recent developments in information and decision processes'', Macmillan, N.Y. and Chapter X in ''Cybernetics, or control and communication in the animal and the machine'', The MIT Press.</ref> The importance of [[phase locking]] or the "attraction of frequencies", as he called it, is discussed<!--yeah, but why are we mentioning it here?--> in the 2nd edition of his ''[[Cybernetics: Or Control and Communication in the Animal and the Machine]]''.<ref>''Cybernetics, or control and communication in the animal and the machine'', The MIT Press, Cambridge, Massachusetts and Wiley, NY, 1948. 2nd Edition 1962 "Chapter X "Brain Waves and Self-Organizing Systems" pp. 201–02.</ref> [[K. Eric Drexler]] sees [[Molecular assembler|self-replication]] as a key step in nano and [[Universal assembler|universal assembly]]. By contrast, the four concurrently connected galvanometers of [[W. Ross Ashby]]'s [[Homeostat]] [[Hunting oscillation|hunt]], when perturbed, to converge on one of many possible stable states.<ref>[[William Ross Ashby|Ashby, William Ross]] (1952) ''Design for a Brain'', Chapter 5 Chapman & Hall</ref> Ashby used his state counting measure of [[variety (cybernetics)|variety]]<ref>Ashby, William Ross (1956) [http://pespmc1.vub.ac.be/books/introcyb.pdf ''An Introduction to Cybernetics''], Part Two Chapman & Hall</ref> to describe stable states and produced the "[[Good Regulator]]"<ref>{{cite journal |title=Every good regulator of a system must be a model of that system |author=Conant, R. C. |author2=Ashby, W. R. |journal=Int. J. Systems Sci. |volume=1 |issue=2 |pages=89–97 |year=1970 |url=http://pcp.vub.ac.be/Books/Conant_Ashby.pdf |doi=10.1080/00207727008920220 |archive-date=May 27, 2015 |access-date=May 27, 2015 |archive-url=https://web.archive.org/web/20150527111949/http://pcp.vub.ac.be/Books/Conant_Ashby.pdf |url-status=dead }}</ref> theorem which requires internal models for self-organized [[Endurantism|endurance]] and stability (e.g. [[Nyquist stability criterion]]). [[Warren McCulloch]] proposed "Redundancy of Potential Command"<ref>''Embodiments of Mind'' MIT Press (1965)"</ref> as characteristic of the organization of the brain and human nervous system and the necessary condition for self-organization. [[Heinz von Foerster]] proposed Redundancy, ''R''=1&nbsp;−&nbsp;''H''/''H''<sub>max</sub>, where ''H'' is [[entropy]].<ref>{{cite journal|author=von Foerster, Heinz |author2= Pask, Gordon |title=A Predictive Model for Self-Organizing Systems, Part I|journal=Cybernetica|volume= 3|pages= 258–300|year=1961}}</ref><ref>{{cite journal|author=von Foerster, Heinz |author2= Pask, Gordon |title=A Predictive Model for Self-Organizing Systems, Part II|journal=Cybernetica|volume= 4 |pages=20–55|year= 1961}}</ref> In essence this states that unused potential communication bandwidth is a measure of self-organization.

In the 1970s [[Stafford Beer]] considered self-organization necessary for [[autonomy]] in persisting and living systems. He applied his [[viable system model]] to management. It consists of five parts: the monitoring of performance of the survival processes (1), their management by recursive application of regulation (2), [[Homeostasis|homeostatic]] operational control (3) and development (4) which produce maintenance of identity (5) under environmental perturbation. Focus is prioritized by an alerting "algedonic loop" feedback: a sensitivity to both pain and pleasure produced from under-performance or over-performance relative to a standard capability.<ref>"Brain of the Firm" Alan Lane (1972); see also Viable System Model in "Beyond Dispute", and Stafford Beer (1994) "Redundancy of Potential Command" pp. 157–58.</ref>

In the 1990s [[Gordon Pask]] argued that von Foerster's H and Hmax were not independent, but [[Gordon Pask#Interactions of Actors Theory|interacted]] via [[Countable set|countably infinite]] recursive concurrent [[Spin (physics)|spin]] processes<ref name=p1996/> which he called concepts. His strict definition of concept "a procedure to bring about a relation"<ref name=p1973/> permitted his theorem "Like concepts repel, unlike concepts attract"<ref>{{Cite journal | doi=10.1108/03684920110391913| title=On Gordon Pask| journal=Kybernetes| volume=30| issue=5/6| pages=673–82| year=2001| last1=Green | first1=N. }}</ref> to state a general spin-based principle of self-organization. His edict, an exclusion principle, "There are [[Gordon Pask#No Doppelgangers|No Doppelgangers]]" means no two concepts can be the same. After sufficient time, all concepts attract and coalesce as [[pink noise]]. The theory applies to all organizationally [[Closure (topology)|closed]] or homeostatic processes that produce [[Endurantism|enduring]] and [[Coherence (physics)|coherent]] products which evolve, learn and adapt.<ref>Pask, Gordon (1993) [http://www.cybsoc.org/PasksIAT.PDF ''Interactions of Actors (IA), Theory and Some Applications''] {{Webarchive|url=https://web.archive.org/web/20040607170929/http://www.cybsoc.org/PasksIAT.PDF |date=June 7, 2004 }}.</ref><ref name="p1996">{{cite journal |author=Pask, Gordon |year=1996 |url=http://www.cybsoc.org/GPprog.PDF |title=Heinz von Foerster's Self-Organization, the Progenitor of Conversation and Interaction Theories |journal= Systems Research |volume=13|issue= 3 |pages=349–62 |doi=10.1002/(sici)1099-1735(199609)13:3<349::aid-sres103>3.3.co;2-7}}</ref><!--Pask's Interactions of Actors "hard carapace" model is reflected in some of the ideas of [[emergence]] and [[Coherence (physics)|coherence]]. It requires a [[knot theory|knot]] [[Emergence#Mathematics|emergence topology]] that produces radiation during interaction with a [[unit cell]] that has a prismatic [[tensegrity]] structure. [[Robert B. Laughlin|Laughlin]]'s [[Emergence#CITEREFLaughlin2005|contribution]] to emergence reflects some of these constraints.-->

===Sociology===
{{main|Spontaneous order}}
[[File:CIA Map of International illegal drug connections.gif|thumb|right|Social self-organization in international drug routes]]

The self-organizing behavior of social animals and the self-organization of simple mathematical structures both suggest that self-organization should be expected in human [[society]]. Tell-tale signs of self-organization are usually statistical properties shared with self-organizing physical systems. Examples such as [[Critical mass (sociodynamics)|critical mass]], [[herd behavior]], [[groupthink]] and others, abound in [[sociology]], [[economics]], [[behavioral finance]] and [[anthropology]].<ref>''[http://cmol.nbi.dk/models/ Interactive models for self organization and biological systems] {{Webarchive |url=https://web.archive.org/web/20110516072744/http://cmol.nbi.dk/models/ |date=May 16, 2011 }}'' Center for Models of Life, Niels Bohr Institute, Denmark</ref>
[[Spontaneous order]] can be influenced by [[arousal]].<ref>{{Cite journal |url=http://www.jstor.org/stable/201903 |title=Emergence, Self-Organization, and Social Interaction: Arousal-Dependent Structure in Social Systems |author1=Smith, Thomas S.|author2=Stevens, Gregory T.|year=1996|journal=Sociological Theory |volume=14| issue=2 |pages=131–153|doi=10.2307/201903|jstor=201903 |url-access=subscription}}</ref>

In social theory, the concept of self-referentiality has been introduced as a sociological application of self-organization theory by [[Niklas Luhmann]] (1984). For Luhmann the elements of a social system are self-producing communications, i.e. a communication produces further communications and hence a social system can reproduce itself as long as there is dynamic communication. For Luhmann, human beings are sensors in the environment of the system. Luhmann developed an evolutionary theory of society and its subsystems, using functional analyses and systems theory.<ref>[[Niklas Luhmann|Luhmann, Niklas]] (1995) ''Social Systems''. Stanford, California: Stanford University Press. {{ISBN|0-8047-2625-6}}</ref>

[[Anarchism]] can advocate self-organization as one of its basic principles.<ref>
{{cite book
 |last1                = Amster
 |first1               = Randall
 |author-link1         = Randall Amster
 |editor-last1         = Franks
 |editor-first1        = Benjamin
 |editor-link1         = Benjamin Franks (philosopher)
 |editor-last2         = Jun
 |editor-first2        = Nathan
 |editor-last3         = Williams
 |editor-first3        = Leonard
 |date                 = 14 March 2018
 |chapter              = Anti-Hierarchy
 |title                = Anarchism: A Conceptual Approach
 |url                  = https://books.google.com/books?id=1mJRDwAAQBAJ
 |publication-place    = New York
 |publisher            = Routledge
 |page                 = 1999
 |isbn                 = 9781317406815
 |access-date          = 16 September 2025
 |quote                = [...] [[David Graeber]] [...] has observed that 'anarchist principles – autonomy, voluntary association, self-organization, direct democracy, mutual aid – have become the basis for organizing new social movements' around the world.
}}
</ref>

===Economics===
The [[market economy]] is sometimes said to be self-organizing. [[Paul Krugman]] has written on the role that market self-organization plays in the business cycle in his book ''The Self Organizing Economy''.<ref>Krugman, P. (1995) ''The Self Organizing Economy''. Blackwell Publishers. {{ISBN|1-55786-699-6}}</ref> [[Friedrich Hayek]] coined the term ''[[catallaxy]]''<ref>Hayek, F. (1976) ''Law, Legislation and Liberty, Volume 2: The Mirage of Social Justice''. University of Chicago Press.</ref> to describe a "self-organizing system of voluntary co-operation", in regards to the spontaneous order of the free market economy. [[Neoclassical economics|Neo-classical economists]] hold that imposing [[central planning]] usually makes the self-organized economic system less efficient. On the other end of the spectrum, economists consider that [[market failure]]s are so significant that self-organization produces bad results and that the state should direct production and pricing. Most economists adopt an intermediate position and recommend a mixture of market economy and [[command economy]] characteristics (sometimes called a [[mixed economy]]). When applied to economics, the concept of self-organization can quickly become ideologically imbued.<ref name="Biel2009">{{Cite journal| author=Biel, R. |author2=Mu-Jeong Kho |url=http://rechercheregulation.files.wordpress.com/2013/01/rr_working_serieid_2009-1.pdf |title=The Issue of Energy within a Dialectical Approach to the Regulationist Problematique |journal=Recherches & Régulation Working Papers, RR Série ID 2009-1 |pages=1–21 |publisher=Association Recherche & Régulation |date=November 2009 |access-date=2013-11-09}}</ref><ref>[[Alan Marshall (New Zealand author)|Marshall, A.]] (2002) ''The Unity of Nature'', Chapter 5. Imperial College Press. {{ISBN|1-86094-330-6}}</ref>

===Learning===
Enabling others to "learn how to learn"<ref>Rogers.C. (1969). ''Freedom to Learn''. Merrill</ref> is often taken to mean instructing them<ref>Feynman, R. P. (1987) ''Elementary Particles and the Laws of Physics''. The Dyrac 1997 Memorial Lecture. Cambridge University Press. {{ISBN|978-0-521-65862-1}}</ref> how to submit to being taught. Self-organized learning (SOL)<ref>Thomas L.F. & Augstein E.S. (1985) ''Self-Organized Learning: Foundations of a conversational science for psychology''. Routledge (1st Ed.)</ref><ref>Thomas L.F. & Augstein E.S. (1994) ''Self-Organized Learning: Foundations of a conversational science for psychology''. Routledge (2nd Ed.)</ref><ref>Thomas L.F. & Augstein E.S. (2013) ''[https://books.google.com/books?id=xWVcDQAAQBAJ Learning: Foundations of a conversational science for psychology]''. Routledge (Psy. Revivals)</ref> denies that "the expert knows best" or that there is ever "the one best method",<ref>Harri-Augstein E. S. and Thomas L. F. (1991) ''Learning Conversations: The S-O-L way to personal and organizational growth''. Routledge (1st Ed.)</ref><ref>Harri-Augstein E. S. and Thomas L. F. (2013) ''Learning Conversations: The S-O-L way to personal and organizational growth''. Routledge (2nd Ed.)</ref><ref>Harri-Augstein E. S. and Thomas L. F. (2013)''Learning Conversations: The S-O-L way to personal and organizational growth''. BookBaby (eBook)</ref> insisting instead on "the construction of personally significant, relevant and viable meaning"<ref>Illich. I. (1971) ''A Celebration of Awareness''. Penguin Books.</ref> to be tested experientially by the learner.<ref>Harri-Augstein E. S. (2000) ''The University of Learning in transformation''</ref> This may be collaborative, and more rewarding personally.<ref>[[Schumacher, E. F.]] (1997) ''This I Believe and Other Essays (Resurgence Book)''. {{ISBN|1-870098-66-8}}</ref><ref>Revans R. W. (1982) ''The Origins and Growth of Action Learning'' Chartwell-Bratt, Bromley</ref> It is seen as a lifelong process, not limited to specific learning environments (home, school, university) or under the control of authorities such as parents and professors.<ref>Thomas L.F. and Harri-Augstein S. (1993) "On Becoming a Learning Organization" in ''Report of a 7 year Action Research Project with the Royal Mail Business''. CSHL Monograph</ref> It needs to be tested, and intermittently revised, through the personal experience of the learner.<ref>Rogers C.R. (1971) ''On Becoming a Person''. Constable, London</ref> It need not be restricted by either consciousness or language.<ref>Prigogyne I. & Sengers I. (1985) ''Order out of Chaos'' Flamingo Paperbacks. London</ref> [[Fritjof Capra]] argued that it is poorly recognized within psychology and education.<ref>Capra F (1989) ''Uncommon Wisdom'' Flamingo Paperbacks. London</ref> It may be related to cybernetics as it involves a [[negative feedback]] control loop,<ref name=p1973>Pask, G. (1973). ''Conversation, Cognition and Learning. A Cybernetic Theory and Methodology''. Elsevier</ref> or to [[systems theory]].<ref>Bohm D. (1994) ''Thought as a System''. Routledge.</ref> It can be conducted as a learning conversation or dialog between learners or within one person.<ref>Maslow, A. H. (1964). ''Religions, values, and peak-experiences'', Columbus: Ohio State University Press.</ref><ref>''Conversational Science'' Thomas L.F. and Harri-Augstein E.S. (1985)</ref>

===Transportation===
{{main|Three-phase traffic theory}}

The self-organizing behavior of drivers in [[traffic flow]] determines almost all the spatiotemporal behavior of traffic, such as traffic breakdown at a highway bottleneck, highway capacity, and the emergence of moving traffic jams. These self-organizing effects are explained by [[Boris Kerner]]'s [[three-phase traffic theory]].<ref>{{cite journal | last1 = Kerner | first1 = Boris S. | year = 1998 | title = Experimental Features of Self-Organization in Traffic Flow | journal = Physical Review Letters | volume = 81| issue = 17 | pages = 3797–3800| doi=10.1103/physrevlett.81.3797 | bibcode=1998PhRvL..81.3797K}}</ref>

===Linguistics===
Order appears spontaneously in the [[linguistic evolution|evolution of language]] as individual and population behavior interacts with biological evolution.<ref>{{cite book |last1=De Boer|first1=Bart |title=Self-organization and language evolution |work=The Oxford Handbook of Language Evolution |editor=Gibson, Kathleen R. |editor2=Tallerman, Maggie |date=2011 |publisher=Oxford}}</ref>

===Research===
'''Self-organized funding allocation''' ('''SOFA''') is a method of distributing [[Funding of science|funding]] for scientific [[research]]. In this system, each researcher is allocated an equal amount of funding, and is required to anonymously allocate a fraction of their funds to the research of others. Proponents of SOFA argue that it would result in similar distribution of funding as the present grant system, but with less overhead.<ref>{{cite journal |last1=Bollen |first1=Johan |title=Who would you share your funding with? |journal=Nature |date=8 August 2018 |volume=560 |issue=7717 |pages=143 |doi=10.1038/d41586-018-05887-3 |pmid=30089925 |language=EN|bibcode=2018Natur.560..143B |doi-access=free }}</ref> In 2016, a test pilot of SOFA began in the Netherlands.<ref>{{cite web |last1=Coelho |first1=Andre |title=Netherlands: A radical new way do fund science {{!}} BIEN |date=May 16, 2017 |url=https://basicincome.org/news/2017/05/netherlands-radical-new-way-fund-science/ |access-date=2 June 2019}}</ref>

==Criticism==
[[Heinz Pagels]], in a 1985 review of [[Ilya Prigogine]] and [[Isabelle Stengers]]'s book ''Order Out of Chaos'' in ''[[Physics Today]]'', appeals to authority:<ref>{{cite journal|url=http://www.fefox.com/ARTICLES/Pagels-PrigogineinPhysicsToday1985.pdf|author=Pagels, H. R. |title=Is the irreversibility we see a fundamental property of nature?|journal=Physics Today|volume=38 |issue=1 |date=January 1, 1985|pages=97–99|doi=10.1063/1.2813716|bibcode=1985PhT....38a..97P}}</ref>

{{blockquote|Most scientists would agree with the critical view expressed in ''Problems of Biological Physics'' (Springer Verlag, 1981) by the biophysicist L. A. Blumenfeld, when he wrote: "The meaningful macroscopic ordering of biological structure does not arise due to the increase of certain parameters or a system above their critical values. These structures are built according to program-like complicated architectural structures, the meaningful information created during many billions of years of chemical and biological evolution being used." Life is a consequence of microscopic, not macroscopic, organization.}}

Of course, Blumenfeld does not answer the further question of how those program-like structures emerge in the first place. His explanation leads directly to [[infinite regress]].

{{blockquote|In short, they [Prigogine and Stengers] maintain that [[arrow of time|time irreversibility]] is not derived from a time-independent microworld, but is itself fundamental. The virtue of their idea is that it resolves what they perceive as a "clash of doctrines" about the nature of [[time in physics]]. Most physicists would agree that there is neither empirical evidence to support their view, nor is there a mathematical necessity for it. There is no "clash of doctrines." Only Prigogine and a few colleagues hold to these speculations which, in spite of their efforts, continue to live in the twilight zone of scientific credibility.}}

In [[theology]], [[Thomas Aquinas]] (1225–1274) in his ''[[Summa Theologica]]'' assumes a [[Teleology|teleological]] created universe in rejecting the idea that something can be a self-sufficient cause of its own organization:<ref>[http://www.newadvent.org/summa/1002.htm#article3 Article 3. Whether God exists?] newadvent.org</ref>

{{blockquote|Since nature works for a determinate end under the direction of a higher agent, whatever is done by nature must needs be traced back to God, as to its first cause. So also whatever is done voluntarily must also be traced back to some higher cause other than human reason or will, since these can change or fail; for all things that are changeable and capable of defect must be traced back to an immovable and self-necessary first principle, as was shown in the body of the Article.}}

==See also==
{{Div col|colwidth=}}
* [[Autopoiesis]]
* [[Autowave]]
* [[Self-organized criticality control]]
* [[Free energy principle]]
* [[Information theory]]
* [[Constructal law]]
* [[Swarm intelligence]]
* [[Outline of organizational theory]]
{{Div col end}}

==Notes==
{{notelist}}

==References==
<references />

== Further reading ==
{{refbegin|2}}
* [[W. Ross Ashby]] (1966), ''Design for a Brain'', Chapman & Hall, 2nd edition.
* [[Per Bak]] (1996), ''[http://jasss.soc.surrey.ac.uk/4/4/reviews/bak.html How Nature Works: The Science of Self-Organized Criticality]'', Copernicus Books.
* Philip Ball (1999), ''[http://sites.google.com/site/nhojwww/library/Ball%20-%20The%20Self-Made%20Tapestry.pdf The Self-Made Tapestry: Pattern Formation in Nature]{{Dead link|date=June 2024 |bot=InternetArchiveBot |fix-attempted=yes }}'', Oxford University Press.
* [[Stafford Beer]], Self-organization as [[autonomy]]: ''Brain of the Firm'' 2nd edition Wiley 1981 and ''Beyond Dispute'' Wiley 1994.
* Adrian Bejan (2000), ''Shape and Structure, from Engineering to Nature'', Cambridge University Press, Cambridge, 324 pp.
* Mark Buchanan (2002), ''Nexus: Small Worlds and the Groundbreaking Theory of Networks'' W. W. Norton & Company.
* Scott Camazine, Jean-Louis Deneubourg, Nigel R. Franks, James Sneyd, Guy Theraulaz, & Eric Bonabeau (2001) [http://press.princeton.edu/titles/7104.html ''Self-Organization in Biological Systems''], Princeton Univ Press.
* Falko Dressler (2007), {{usurped|1=[https://web.archive.org/web/20180419162954/http://www.selforg.org/ ''Self-Organization in Sensor and Actor Networks'']}}, Wiley & Sons.
* [[Manfred Eigen]] and [[Peter Schuster (theoretical chemist)|Peter Schuster]] (1979), ''The Hypercycle: A principle of natural self-organization'', Springer.
* Myrna Estep (2003), ''A Theory of Immediate Awareness: Self-Organization and Adaptation in Natural Intelligence'', Kluwer Academic Publishers.
* Myrna L. Estep (2006), ''Self-Organizing Natural Intelligence: Issues of Knowing, Meaning, and Complexity'', Springer-Verlag.
* [[J. Doyne Farmer]] et al. (editors) (1986), "Evolution, Games, and Learning: Models for Adaptation in Machines and Nature", in: ''Physica D'', Vol 22.
* [[Carlos Gershenson]] and [[Francis Heylighen]] (2003). [https://arxiv.org/abs/nlin/0303020 "When Can we Call a System Self-organizing?"] In Banzhaf, W, [[Thomas Christaller|T. Christaller]], P. Dittrich, J. T. Kim, and J. Ziegler, Advances in Artificial Life, 7th European Conference, ECAL 2003, Dortmund, Germany, pp.&nbsp;606–14. LNAI 2801. Springer.
* [[Hermann Haken]] (1983) ''Synergetics: An Introduction. Nonequilibrium Phase Transition and Self-Organization in Physics, Chemistry, and Biology'', Third Revised and Enlarged Edition, Springer-Verlag.
* [[F.A. Hayek]] ''Law, Legislation and Liberty'', RKP, UK.
* [[Francis Heylighen]] (2001): [http://pespmc1.vub.ac.be/papers/EOLSS-Self-Organiz.pdf "The Science of Self-organization and Adaptivity"] {{Webarchive|url=https://web.archive.org/web/20101217021823/http://pespmc1.vub.ac.be/papers/EOLSS-Self-Organiz.pdf |date=December 17, 2010 }}.
* [[Arthur Iberall]] (2016), ''Homeokinetics: The Basics'', Strong Voices Publishing, Medfield, Massachusetts.
* Henrik Jeldtoft Jensen (1998), ''Self-Organized Criticality: Emergent Complex Behaviour in Physical and Biological Systems'', Cambridge Lecture Notes in Physics 10, Cambridge University Press.
* [[Steven Berlin Johnson]] (2001), ''[[Emergence: The Connected Lives of Ants, Brains, Cities, and Software]]''.
* [[Stuart Kauffman]] (1995), ''At Home in the Universe'', Oxford University Press.
* [[Stuart Kauffman]] (1993), ''Origins of Order: Self-Organization and Selection in Evolution'' Oxford University Press.
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* E.V. Krishnamurthy (2009)", Multiset of Agents in a Network for Simulation of Complex Systems", in "Recent advances in Nonlinear Dynamics and synchronization, (NDS-1) – Theory and applications, Springer Verlag, New York, 2009. Eds. K.Kyamakya, et al.
* [[Paul Krugman]] (1996), ''The Self-Organizing Economy'', Cambridge, Massachusetts, and Oxford: Blackwell Publishers.
* Elizabeth McMillan (2004) "Complexity, Organizations and Change".
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* Müller, J.-A., Lemke, F. (2000), ''Self-Organizing Data Mining''.
* Gregoire Nicolis and [[Ilya Prigogine]] (1977) ''Self-Organization in Non-Equilibrium Systems'', Wiley.
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* Christian Prehofer ea. (2005), "Self-Organization in Communication Networks: Principles and Design Paradigms", in: ''[[IEEE]] Communications Magazine'', July 2005.
* Mitchell Resnick (1994), ''Turtles, Termites and Traffic Jams: Explorations in Massively Parallel Microworlds'', Complex Adaptive Systems series, MIT Press.{{ISBN?}}
* [[Lee Smolin]] (1997), ''[[The Life of the Cosmos]]'' Oxford University Press.
* Ricard V. Solé and Brian C. Goodwin (2001), ''Signs of Life: How Complexity Pervades Biology]'', Basic Books.
* Ricard V. Solé and Jordi Bascompte (2006), ''[https://books.google.com/books?id=dJX4oGevgFEC in Complex Ecosystems]'', Princeton U. Press
* {{cite journal|last1=Soodak|first1=Harry|author-link=Harry Soodak|author-link2=Arthur Iberall|last2=Iberall|first2=Arthur|year=1978|title=Homeokinetics: A Physical Science for Complex Systems|journal=Science|volume=201|issue=4356|pages=579–582|doi=10.1126/science.201.4356.579|bibcode=1978Sci...201..579S|pmid=17794110|s2cid=19333503}}
* Steven Strogatz (2004), ''Sync: The Emerging Science of Spontaneous Order'', Thesis.
* [[D'Arcy Thompson]] (1917), ''On Growth and Form'', Cambridge University Press, 1992 Dover Publications edition.
* J. Tkac, J Kroc (2017), ''Cellular Automaton Simulation of Dynamic Recrystallization: Introduction into Self-Organization and Emergence'' [https://www.researchgate.net/publication/316989956_Cellular_Automaton_Simulation_of_Dynamic_Recrystallization_Introduction_into_Self-Organization_and_Emergence "(open source software)"] [https://www.researchgate.net/publication/317013011_Self-Organization_Video_Sequence_Depicting_Numerical_Experiments_with_Cellular_Automaton_Model_of_Dynamic_Recrystallization_with_source-code_link "Video – Simulation of DRX"]
* Tom De Wolf, Tom Holvoet (2005), ''Emergence Versus Self-Organisation: Different Concepts but Promising When Combined'', In Engineering Self Organising Systems: Methodologies and Applications, Lecture Notes in Computer Science, volume 3464, pp.&nbsp;1–15.
* K. Yee (2003), "Ownership and Trade from Evolutionary Games", ''International Review of Law and Economics'', 23.2, 183–197.
* Louise B. Young (2002), ''The Unfinished Universe''{{ISBN?}}
{{refend}}

==External links==
{{refbegin|2}}
* {{scholarpedia|title=Self-organization|urlname=Self-organization|curator=[[Hermann Haken]]}}
* [https://web.archive.org/web/20090118181556/http://www.ds.mpg.de/english/research/index.php Max Planck Institute for Dynamics and Self-Organization, Göttingen]
* [https://ssrn.com/abstract=270593 PDF file on self-organized common law with references]
* [http://pespmc1.vub.ac.be/SELFORG.html An entry on self-organization at the ''Principia Cybernetica'' site]
* [http://pespmc1.vub.ac.be/papers/EOLSS-Self-Organiz.pdf The Science of Self-organization and Adaptivity] {{Webarchive|url=https://web.archive.org/web/20101217021823/http://pespmc1.vub.ac.be/papers/EOLSS-Self-Organiz.pdf |date=December 17, 2010 }}, a review paper by [[Francis Heylighen]]
* [https://web.archive.org/web/20060610073111/http://calresco.org/sos/sosfaq.htm The ''Self-Organizing Systems (SOS) FAQ''] by Chris Lucas, from the [news://comp.theory.self-org-sys USENET newsgroup <code>comp.theory.self-org.sys</code>]
* [http://psoup.math.wisc.edu/ David Griffeath, ''Primordial Soup Kitchen''] {{Webarchive|url=https://web.archive.org/web/20220326141731/http://psoup.math.wisc.edu/ |date=March 26, 2022 }} (graphics, papers)
* [https://arxiv.org/list/nlin.AO/recent nlin.AO, nonlinear preprint archive], (electronic preprints in adaptation and self-organizing systems)
* [https://www.uni-ulm.de/~hhoster/personal/self_assembly.htm Structure and Dynamics of Organic Nanostructures] {{Webarchive|url=https://web.archive.org/web/20160421174552/http://www.uni-ulm.de/~hhoster/personal/self_assembly.htm |date=April 21, 2016 }}
* [https://www.uni-ulm.de/~hhoster/personal/metal_organic.htm Metal organic coordination networks of oligopyridines and Cu on graphite] {{Webarchive|url=https://web.archive.org/web/20160611004416/http://www.uni-ulm.de/~hhoster/personal/metal_organic.htm |date=June 11, 2016 }}
* [http://complex.upf.es/''Selforganization in complex networks''] {{Webarchive|url=https://web.archive.org/web/20230609071336/http://complex.upf.es/ |date=June 9, 2023 }} The Complex Systems Lab, Barcelona
* [https://web.archive.org/web/19970512225355/http://www.santafe.edu/projects/CompMech/ Computational Mechanics Group] at the [[Santa Fe Institute]]
* [http://www.rossashby.info/journal/page/0759.html "Organisation must grow" (1939)] {{Webarchive|url=https://web.archive.org/web/20220816212315/http://www.rossashby.info/journal/page/0759.html |date=August 16, 2022 }} W. Ross Ashby journal p.&nbsp;759, from [http://www.rossashby.info/index.html The W. Ross Ashby Digital Archive] {{Webarchive|url=https://web.archive.org/web/20090208020827/http://www.rossashby.info/index.html |date=February 8, 2009 }}
* [http://bactra.org/notebooks/self-organization.html Cosma Shalizi's notebook on self-organization from 2003-06-20], used under the [[GNU Free Documentation License|GFDL]] with permission from author.
* [https://web.archive.org/web/20060524101518/http://www.connectivism.ca/wiki/SelfOrganization Connectivism:SelfOrganization]
* [http://www.hcs.ucla.edu/ UCLA Human Complex Systems Program]
* [http://www.cybsoc.org/PasksIAT.PDF "Interactions of Actors (IA), Theory and Some Applications" 1993] {{Webarchive|url=https://web.archive.org/web/20040607170929/http://www.cybsoc.org/PasksIAT.PDF |date=June 7, 2004 }} Gordon Pask's theory of learning, evolution and self-organization (in draft).
* [http://www.cybsoc.org The Cybernetics Society]
* [https://web.archive.org/web/20080510162142/http://web.mac.com/camazine/Camazine/Self-organization.html Scott Camazine's webpage on self-organization in biological systems]
* [http://prokopenko.net/IDSO.html Mikhail Prokopenko's page on Information-driven Self-organization (IDSO)] {{Webarchive|url=https://web.archive.org/web/20090614053314/http://prokopenko.net/IDSO.html |date=June 14, 2009 }}
* [http://www.Lakeside-Labs.com Lakeside Labs Self-Organizing Networked Systems] A platform for science and technology, Klagenfurt, Austria.
* [https://www.theatlantic.com/video/index/262934/32-metronomes-synch-up/ Watch 32 discordant metronomes synch up all by themselves] theatlantic.com
{{refend}}

{{Patterns in nature}}

{{Authority control}}

{{DEFAULTSORT:Self-Organization}}
[[Category:Self-organization| ]]
[[Category:Cybernetics]]
[[Category:Extended evolutionary synthesis]]
[[Category:Systems theory]]
[[Category:Concepts in physics]]