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Swarm behaviour - Wikipedia

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class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mathematical_models"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Mathematical models</span> </div> </a> <ul id="toc-Mathematical_models-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Evolutionary_models" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Evolutionary_models"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Evolutionary models</span> </div> </a> <ul id="toc-Evolutionary_models-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Agents" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Agents"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Agents</span> </div> </a> <ul id="toc-Agents-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Self-organization" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Self-organization"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Self-organization</span> </div> </a> <ul id="toc-Self-organization-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Emergence" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Emergence"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Emergence</span> </div> </a> <ul id="toc-Emergence-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Stigmergy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Stigmergy"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.6</span> <span>Stigmergy</span> </div> </a> <ul id="toc-Stigmergy-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Swarm_intelligence" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Swarm_intelligence"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.7</span> <span>Swarm intelligence</span> </div> </a> <ul id="toc-Swarm_intelligence-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Algorithms" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Algorithms"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.8</span> <span>Algorithms</span> </div> </a> <ul id="toc-Algorithms-sublist" class="vector-toc-list"> <li id="toc-Ant_colony_optimization" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Ant_colony_optimization"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.8.1</span> <span>Ant colony optimization</span> </div> </a> <ul id="toc-Ant_colony_optimization-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Self-propelled_particles" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Self-propelled_particles"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.8.2</span> <span>Self-propelled particles</span> </div> </a> <ul id="toc-Self-propelled_particles-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Particle_swarm_optimization" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Particle_swarm_optimization"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.8.3</span> <span>Particle swarm optimization</span> </div> </a> <ul id="toc-Particle_swarm_optimization-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Altruism" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Altruism"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.8.4</span> <span>Altruism</span> </div> </a> <ul id="toc-Altruism-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Biological_swarming" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Biological_swarming"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Biological swarming</span> </div> </a> <button aria-controls="toc-Biological_swarming-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Biological swarming subsection</span> </button> <ul id="toc-Biological_swarming-sublist" class="vector-toc-list"> <li id="toc-Social_insects" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Social_insects"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Social insects</span> </div> </a> <ul id="toc-Social_insects-sublist" class="vector-toc-list"> <li id="toc-Ants" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Ants"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.1</span> <span>Ants</span> </div> </a> <ul id="toc-Ants-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Honey_bees" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Honey_bees"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.2</span> <span>Honey bees</span> </div> </a> <ul id="toc-Honey_bees-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Non-social_insects" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Non-social_insects"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Non-social insects</span> </div> </a> <ul id="toc-Non-social_insects-sublist" class="vector-toc-list"> <li id="toc-Moths" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Moths"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.1</span> <span>Moths</span> </div> </a> <ul id="toc-Moths-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Flies" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Flies"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.2</span> <span>Flies</span> </div> </a> <ul id="toc-Flies-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Cockroaches" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Cockroaches"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.3</span> <span>Cockroaches</span> </div> </a> <ul id="toc-Cockroaches-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Locusts" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Locusts"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.4</span> <span>Locusts</span> </div> </a> <ul id="toc-Locusts-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Migratory_behavior" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Migratory_behavior"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.5</span> <span>Migratory behavior</span> </div> </a> <ul id="toc-Migratory_behavior-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Birds" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Birds"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Birds</span> </div> </a> <ul id="toc-Birds-sublist" class="vector-toc-list"> <li id="toc-Bird_migration" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Bird_migration"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3.1</span> <span>Bird migration</span> </div> </a> <ul id="toc-Bird_migration-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Marine_life" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Marine_life"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Marine life</span> </div> </a> <ul id="toc-Marine_life-sublist" class="vector-toc-list"> <li id="toc-Fish" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Fish"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4.1</span> <span>Fish</span> </div> </a> <ul id="toc-Fish-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fish_migration" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Fish_migration"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4.2</span> <span>Fish migration</span> </div> </a> <ul id="toc-Fish_migration-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Krill" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Krill"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4.3</span> <span>Krill</span> </div> </a> <ul id="toc-Krill-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Copepods" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Copepods"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4.4</span> <span>Copepods</span> </div> </a> <ul id="toc-Copepods-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Algal_blooms" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Algal_blooms"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4.5</span> <span>Algal blooms</span> </div> </a> <ul id="toc-Algal_blooms-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Plants" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Plants"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Plants</span> </div> </a> <ul id="toc-Plants-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bacteria" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Bacteria"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.6</span> <span>Bacteria</span> </div> </a> <ul id="toc-Bacteria-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mammals" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mammals"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.7</span> <span>Mammals</span> </div> </a> <ul id="toc-Mammals-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-People" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#People"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>People</span> </div> </a> <ul id="toc-People-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Robotics" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Robotics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Robotics</span> </div> </a> <ul id="toc-Robotics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Military" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Military"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Military</span> </div> </a> <ul id="toc-Military-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Gallery" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Gallery"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Gallery</span> </div> </a> <ul id="toc-Gallery-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Myths" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Myths"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Myths</span> </div> </a> <ul id="toc-Myths-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>References</span> </div> </a> <button aria-controls="toc-References-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle References subsection</span> </button> <ul id="toc-References-sublist" class="vector-toc-list"> <li id="toc-Sources" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Sources"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.1</span> <span>Sources</span> </div> </a> <ul id="toc-Sources-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Swarm behaviour</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 13 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-13" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">13 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B3%D9%84%D9%88%D9%83_%D8%A7%D9%84%D8%B3%D8%B1%D8%A8" title="سلوك السرب – Arabic" lang="ar" hreflang="ar" data-title="سلوك السرب" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Schwarmverhalten" title="Schwarmverhalten – German" lang="de" hreflang="de" data-title="Schwarmverhalten" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Comportamiento_de_enjambre" title="Comportamiento de enjambre – Spanish" lang="es" hreflang="es" data-title="Comportamiento de enjambre" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Svarmo" title="Svarmo – Esperanto" lang="eo" hreflang="eo" data-title="Svarmo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D9%81%D8%AA%D8%A7%D8%B1_%D8%A7%D8%B2%D8%AF%D8%AD%D8%A7%D9%85%DB%8C" title="رفتار ازدحامی – Persian" lang="fa" hreflang="fa" data-title="رفتار ازدحامی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9D%E0%A5%81%E0%A4%82%E0%A4%A1_%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%B5%E0%A4%B9%E0%A4%BE%E0%A4%B0" title="झुंड व्यवहार – Hindi" lang="hi" hreflang="hi" data-title="झुंड व्यवहार" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Formazione_a_sciame" title="Formazione a sciame – Italian" lang="it" hreflang="it" data-title="Formazione a sciame" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%AA%D7%A7%D7%94%D7%9C%D7%95%D7%AA_%D7%91%D7%A2%D7%9C%D7%99_%D7%97%D7%99%D7%99%D7%9D" title="התקהלות בעלי חיים – Hebrew" lang="he" hreflang="he" data-title="התקהלות בעלי חיים" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Parveilu" title="Parveilu – Finnish" lang="fi" hreflang="fi" data-title="Parveilu" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Sv%C3%A4rmning" title="Svärmning – Swedish" lang="sv" hreflang="sv" data-title="Svärmning" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/S%C3%BCr%C3%BC_davran%C4%B1%C5%9F%C4%B1" title="Sürü davranışı – Turkish" lang="tr" hreflang="tr" data-title="Sürü davranışı" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%A4%A7%E7%BE%A4%E8%A1%8C%E7%82%BA" title="大群行為 – Cantonese" lang="yue" hreflang="yue" data-title="大群行為" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BE%A4%E8%A1%8C%E8%A1%8C%E7%82%BA" title="群行行為 – Chinese" lang="zh" hreflang="zh" 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<div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Collective behaviour of a large number of (usually) self-propelled entities of similar size</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">"Swarm" redirects here. For other uses, see <a href="/wiki/Swarm_(disambiguation)" class="mw-disambig" title="Swarm (disambiguation)">Swarm (disambiguation)</a>.</div> <p class="mw-empty-elt"> </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Auklet_flock_Shumagins_1986.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/350px-Auklet_flock_Shumagins_1986.jpg" decoding="async" width="350" height="239" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/525px-Auklet_flock_Shumagins_1986.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/700px-Auklet_flock_Shumagins_1986.jpg 2x" data-file-width="3756" data-file-height="2561" /></a><figcaption>A flock of <a href="/wiki/Auklet" class="mw-redirect" title="Auklet">auklets</a> exhibit swarm behaviour</figcaption></figure> <p><b>Swarm behaviour</b>, or <b>swarming</b>, is a <a href="/wiki/Collective_animal_behaviour" class="mw-redirect" title="Collective animal behaviour">collective behaviour</a> exhibited by entities, particularly animals, of similar size which aggregate together, perhaps milling about the same spot or perhaps moving <i>en masse</i> or <a href="/wiki/Animal_migration" title="Animal migration">migrating</a> in some direction. It is a highly interdisciplinary topic.<sup id="cite_ref-Bouffanais_1-0" class="reference"><a href="#cite_note-Bouffanais-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p><p>As a term, <i>swarming</i> is applied particularly to insects, but can also be applied to any other entity or animal that exhibits swarm behaviour. The term <i><a href="/wiki/Flocking_(behavior)" class="mw-redirect" title="Flocking (behavior)">flocking</a></i> or <i>murmuration</i> can refer specifically to swarm behaviour in birds, <i><a href="/wiki/Herd_behaviour" class="mw-redirect" title="Herd behaviour">herding</a></i> to refer to swarm behaviour in <a href="/wiki/Tetrapods" class="mw-redirect" title="Tetrapods">tetrapods</a>, and <a href="/wiki/Shoaling_and_schooling" title="Shoaling and schooling"><i>shoaling</i> or <i>schooling</i></a> to refer to swarm behaviour in fish. <a href="/wiki/Phytoplankton" title="Phytoplankton">Phytoplankton</a> also gather in huge swarms called <a href="/wiki/Algal_bloom" title="Algal bloom"><i>blooms</i></a>, although these organisms are <a href="/wiki/Algae" title="Algae">algae</a> and are not self-propelled the way animals are. By extension, the term "swarm" is applied also to inanimate entities which exhibit parallel behaviours, as in a <a href="/wiki/Swarm_robotics" title="Swarm robotics">robot swarm</a>, an <a href="/wiki/Earthquake_swarm" title="Earthquake swarm">earthquake swarm</a>, or a swarm of stars. </p><p>From a more abstract point of view, swarm behaviour is the collective motion of a large number of <a href="/wiki/Self-propelled_particles" title="Self-propelled particles">self-propelled entities</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> From the perspective of the mathematical modeller, it is an <a href="/wiki/Emergence" title="Emergence">emergent</a> behaviour arising from simple rules that are followed by individuals and does not involve any central coordination. Swarm behaviour is also studied by <a href="/wiki/Active_matter" title="Active matter">active matter</a> physicists as a phenomenon which is not in <a href="/wiki/Thermodynamic_equilibrium" title="Thermodynamic equilibrium">thermodynamic equilibrium</a>, and as such requires the development of tools beyond those available from the <a href="/wiki/Statistical_physics" class="mw-redirect" title="Statistical physics">statistical physics</a> of systems in thermodynamic equilibrium. In this regard, swarming has been compared to the mathematics of <a href="/wiki/Superfluids" class="mw-redirect" title="Superfluids">superfluids</a>, specifically in the context of <a href="/wiki/Starling#Behaviour" title="Starling">starling flocks</a> (murmuration).<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>Swarm behaviour was first simulated on a computer in 1986 with the simulation program <a href="/wiki/Boids" title="Boids">boids</a>.<sup id="cite_ref-Reynolds_4-0" class="reference"><a href="#cite_note-Reynolds-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> This program simulates simple <a href="/wiki/Agent-based_model_in_biology" title="Agent-based model in biology">agents</a> (boids) that are allowed to move according to a set of basic rules. The model was originally designed to mimic the flocking behaviour of birds, but it can be applied also to schooling fish and other swarming entities. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Models">Models</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=1" title="Edit section: Models"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Collective_animal_behaviour" class="mw-redirect" title="Collective animal behaviour">Collective animal behaviour</a></div> <p>In recent decades, scientists have turned to modeling swarm behaviour to gain a deeper understanding of the behaviour. </p> <div class="mw-heading mw-heading3"><h3 id="Mathematical_models">Mathematical models</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=2" title="Edit section: Mathematical models"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Metric_vs_topological_distance_in_schools_of_fish.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Metric_vs_topological_distance_in_schools_of_fish.png/400px-Metric_vs_topological_distance_in_schools_of_fish.png" decoding="async" width="400" height="177" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Metric_vs_topological_distance_in_schools_of_fish.png/600px-Metric_vs_topological_distance_in_schools_of_fish.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Metric_vs_topological_distance_in_schools_of_fish.png/800px-Metric_vs_topological_distance_in_schools_of_fish.png 2x" data-file-width="810" data-file-height="358" /></a><figcaption>In the <a href="/wiki/Metric_distance" class="mw-redirect" title="Metric distance">metric distance</a> model of a <a href="/wiki/Fish_school" class="mw-redirect" title="Fish school">fish school</a> (left), the focal fish (yellow) pays attention to all fish within the small zone of repulsion (red), the zone of alignment (lighter red) and the larger zone of attraction (lightest red). In the <a href="/wiki/Topological_space" title="Topological space">topological distance</a> model (right), the focal fish only pays attention to the six or seven closest fish (green), regardless of their distance.</figcaption></figure> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox" style="width: 160px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External images</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="http://www.red3d.com/cwr/boids/">Boids simulation</a></td></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="http://www.aridolan.com/ofiles/iFloys.html">iFloys simulation</a></td></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="http://www.aridolan.com/ofiles/Efloys.aspx">Efloys simulation</a></td></tr></tbody></table> <p>Early studies of swarm behaviour employed mathematical models to simulate and understand the behaviour. The simplest mathematical models of animal swarms generally represent individual animals as following three rules: </p> <ul><li>Move in the same direction as their neighbours</li> <li>Remain close to their neighbours</li> <li>Avoid collisions with their neighbours</li></ul> <p>The <a href="/wiki/Boids" title="Boids">boids</a> computer program, created by <a href="/wiki/Craig_Reynolds_(computer_graphics)" title="Craig Reynolds (computer graphics)">Craig Reynolds</a> in 1986, simulates swarm behaviour following the above rules.<sup id="cite_ref-Reynolds_4-1" class="reference"><a href="#cite_note-Reynolds-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> Many subsequent and current models use variations on these rules, often implementing them by means of concentric "zones" around each animal. In the "zone of repulsion", very close to the animal, the focal animal will seek to distance itself from its neighbours to avoid collision. Slightly further away, in the "zone of alignment", the focal animal will seek to align its direction of motion with its neighbours. In the outermost "zone of attraction", which extends as far away from the focal animal as it is able to sense, the focal animal will seek to move towards a neighbour. </p><p>The shape of these zones will necessarily be affected by the sensory capabilities of a given animal. For example, the visual field of a bird does not extend behind its body. Fish rely on both vision and on <a href="/wiki/Hydrodynamic" class="mw-redirect" title="Hydrodynamic">hydrodynamic</a> perceptions relayed through their <a href="/wiki/Lateral_line" title="Lateral line">lateral lines</a>, while Antarctic <a href="/wiki/Krill" title="Krill">krill</a> rely both on vision and hydrodynamic signals relayed through <a href="/wiki/Antenna_(biology)" title="Antenna (biology)">antennae</a>. </p><p>However recent studies of starling flocks have shown that each bird modifies its position, relative to the six or seven animals directly surrounding it, no matter how close or how far away those animals are.<sup id="cite_ref-Ballerini_et_al_5-0" class="reference"><a href="#cite_note-Ballerini_et_al-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> Interactions between flocking starlings are thus based on a <a href="/wiki/Topological" class="mw-redirect" title="Topological">topological</a>, rather than a metric, rule. It remains to be seen whether this applies to other animals. Another recent study, based on an analysis of high-speed camera footage of flocks above Rome and assuming minimal behavioural rules, has convincingly simulated a number of aspects of flock behaviour.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Evolutionary_models">Evolutionary models</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=3" title="Edit section: Evolutionary models"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In order to gain insight into why animals evolve swarming behaviours, scientists have turned to evolutionary models that simulate populations of evolving animals. Typically these studies use a <a href="/wiki/Genetic_algorithm" title="Genetic algorithm">genetic algorithm</a> to simulate <a href="/wiki/Evolution" title="Evolution">evolution</a> over many generations. These studies have investigated a number of hypotheses attempting to explain why animals evolve swarming behaviours, such as the <a href="/wiki/Selfish_herd_theory" title="Selfish herd theory">selfish herd theory</a><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> the predator confusion effect,<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup> the dilution effect,<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">&#91;</span>18<span class="cite-bracket">&#93;</span></a></sup> and the many eyes theory.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">&#91;</span>19<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Agents">Agents</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=4" title="Edit section: Agents"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Agent-based_model_in_biology" title="Agent-based model in biology">Agent-based model in biology</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Agent-based_models" class="mw-redirect" title="Agent-based models">Agent-based models</a>, <a href="/wiki/Intelligent_agent" title="Intelligent agent">Intelligent agent</a>, <a href="/wiki/Autonomous_agent" title="Autonomous agent">Autonomous agent</a>, and <a href="/wiki/Quorum_sensing" title="Quorum sensing">Quorum sensing</a></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFMachSchweitzer2003" class="citation book cs1">Mach, Robert; Schweitzer, Frank (2003). "Multi-Agent Model of Biological Swarming". <i>Advances In Artificial Life</i>. <a href="/wiki/Lecture_Notes_in_Computer_Science" title="Lecture Notes in Computer Science">Lecture Notes in Computer Science</a>. Vol.&#160;2801. pp.&#160;810–820. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.8022">10.1.1.87.8022</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-3-540-39432-7_87">10.1007/978-3-540-39432-7_87</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-3-540-20057-4" title="Special:BookSources/978-3-540-20057-4"><bdi>978-3-540-20057-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Multi-Agent+Model+of+Biological+Swarming&amp;rft.btitle=Advances+In+Artificial+Life&amp;rft.series=Lecture+Notes+in+Computer+Science&amp;rft.pages=810-820&amp;rft.date=2003&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.87.8022%23id-name%3DCiteSeerX&amp;rft_id=info%3Adoi%2F10.1007%2F978-3-540-39432-7_87&amp;rft.isbn=978-3-540-20057-4&amp;rft.aulast=Mach&amp;rft.aufirst=Robert&amp;rft.au=Schweitzer%2C+Frank&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading3"><h3 id="Self-organization">Self-organization</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=5" title="Edit section: Self-organization"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg/220px-Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg/330px-Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/92/Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg/440px-Sort_sol_ved_%C3%98rns%C3%B8_2007.jpg 2x" data-file-width="2048" data-file-height="1536" /></a><figcaption>Flocking birds are an example of <a href="/wiki/Biological_organisation" title="Biological organisation">self-organization in biology</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Self-organization" title="Self-organization">Self-organization</a> and <a href="/wiki/Biological_organisation" title="Biological organisation">Biological organisation</a></div> <div class="mw-heading mw-heading3"><h3 id="Emergence">Emergence</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=6" title="Edit section: Emergence"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Emergence" title="Emergence">Emergence</a></div> <p>The concept of emergence—that the properties and functions found at a hierarchical level are not present and are irrelevant at the lower levels–is often a basic principle behind <a href="/wiki/Self-organization" title="Self-organization">self-organizing systems</a>.<sup id="cite_ref-importance-ppt_20-0" class="reference"><a href="#cite_note-importance-ppt-20"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> An example of <a href="/wiki/Biological_organisation" title="Biological organisation">self-organization in biology</a> leading to emergence in the natural world occurs in ant colonies. The queen does not give direct orders and does not tell the ants what to do.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (July 2018)">citation needed</span></a></i>&#93;</sup> Instead, each ant reacts to stimuli in the form of chemical scents from larvae, other ants, intruders, food and buildup of waste, and leaves behind a chemical trail, which, in turn, provides a stimulus to other ants. Here each ant is an autonomous unit that reacts depending only on its local environment and the genetically encoded rules for its variety. Despite the lack of centralized decision making, ant colonies exhibit complex behaviours and have even been able to demonstrate the ability to solve geometric problems. For example, colonies routinely find the maximum distance from all colony entrances to dispose of dead bodies. </p> <div class="mw-heading mw-heading3"><h3 id="Stigmergy">Stigmergy</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=7" title="Edit section: Stigmergy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Stigmergy" title="Stigmergy">Stigmergy</a></div> <p>A further key concept in the field of swarm intelligence is <a href="/wiki/Stigmergy" title="Stigmergy">stigmergy</a>.<sup id="cite_ref-Parunak2003_21-0" class="reference"><a href="#cite_note-Parunak2003-21"><span class="cite-bracket">&#91;</span>21<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Marsh2007_22-0" class="reference"><a href="#cite_note-Marsh2007-22"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup> Stigmergy is a mechanism of indirect coordination between agents or actions. The principle is that the trace left in the environment by an action stimulates the performance of a next action, by the same or a different agent. In that way, subsequent actions tend to reinforce and build on each other, leading to the spontaneous emergence of coherent, apparently systematic activity. Stigmergy is a form of self-organization. It produces complex, seemingly intelligent structures, without need for any planning, control, or even direct communication between the agents. As such it supports efficient collaboration between extremely simple agents, who lack any memory, intelligence or even awareness of each other.<sup id="cite_ref-Marsh2007_22-1" class="reference"><a href="#cite_note-Marsh2007-22"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Swarm_intelligence">Swarm intelligence</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=8" title="Edit section: Swarm intelligence"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Swarm_intelligence" title="Swarm intelligence">Swarm intelligence</a></div> <p><a href="/wiki/Swarm_intelligence" title="Swarm intelligence">Swarm intelligence</a> is the <a href="/wiki/Collective_behaviour" class="mw-redirect" title="Collective behaviour">collective behaviour</a> of <a href="/wiki/Decentralization" title="Decentralization">decentralized</a>, <a href="/wiki/Self-organization" title="Self-organization">self-organized</a> systems, natural or artificial. The concept is employed in work on <a href="/wiki/Artificial_intelligence" title="Artificial intelligence">artificial intelligence</a>. The expression was introduced by <a href="/wiki/Gerardo_Beni" title="Gerardo Beni">Gerardo Beni</a> and Jing Wang in 1989, in the context of <a href="/wiki/Cellular_automaton" title="Cellular automaton">cellular robotic</a> systems.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">&#91;</span>23<span class="cite-bracket">&#93;</span></a></sup> </p><p>Swarm intelligence systems are typically made up of a population of simple <a href="/wiki/Agent-based_model_in_biology" title="Agent-based model in biology">agents</a> such as <a href="/wiki/Boids" title="Boids">boids</a> interacting locally with one another and with their environment. The agents follow very simple rules, and although there is no centralized control structure dictating how individual agents should behave, local, and to a certain degree random, interactions between such agents lead to the <a href="/wiki/Emergence" title="Emergence">emergence</a> of intelligent global behaviour, unknown to the individual agents. </p><p>Swarm intelligence research is multidisciplinary. It can be divided into natural swarm research studying biological systems and artificial swarm research studying human artefacts. There is also a scientific stream attempting to model the swarm systems themselves and understand their underlying mechanisms, and an engineering stream focused on applying the insights developed by the scientific stream to solve practical problems in other areas.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">&#91;</span>24<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Algorithms">Algorithms</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=9" title="Edit section: Algorithms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Swarm algorithms follow a Lagrangian approach or an <a href="/wiki/Euler_equations_(fluid_dynamics)" title="Euler equations (fluid dynamics)">Eulerian</a> approach.<sup id="cite_ref-Li_et_al_25-0" class="reference"><a href="#cite_note-Li_et_al-25"><span class="cite-bracket">&#91;</span>25<span class="cite-bracket">&#93;</span></a></sup> The Eulerian approach views the swarm as a <a href="/wiki/Field_(physics)" title="Field (physics)">field</a>, working with the density of the swarm and deriving mean field properties. It is a hydrodynamic approach, and can be useful for modelling the overall dynamics of large swarms.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">&#91;</span>26<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">&#91;</span>27<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup> However, most models work with the Lagrangian approach, which is an <a href="/wiki/Agent-based_model" title="Agent-based model">agent-based model</a> following the individual agents (points or particles) that make up the swarm. Individual particle models can follow information on heading and spacing that is lost in the Eulerian approach.<sup id="cite_ref-Li_et_al_25-1" class="reference"><a href="#cite_note-Li_et_al-25"><span class="cite-bracket">&#91;</span>25<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">&#91;</span>29<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Ant_colony_optimization">Ant colony optimization</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=10" title="Edit section: Ant colony optimization"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Ant_colony_optimization_algorithm" class="mw-redirect" title="Ant colony optimization algorithm">Ant colony optimization algorithm</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 230px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External image</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=oBhv4pKksgU">Swarmanoid robots find shortest path over double bridge</a><sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">&#91;</span>30<span class="cite-bracket">&#93;</span></a></sup></td></tr></tbody></table> <p>Ant colony optimization is a widely used algorithm which was inspired by the behaviours of ants, and has been effective solving <a href="/wiki/Discrete_optimization" title="Discrete optimization">discrete optimization</a> problems related to swarming.<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">&#91;</span>31<span class="cite-bracket">&#93;</span></a></sup> The algorithm was initially proposed by <a href="/wiki/Marco_Dorigo" title="Marco Dorigo">Marco Dorigo</a> in 1992,<sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">&#91;</span>32<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-M._Dorigo,_Optimization,_Learning_and_Natural_Algorithms_33-0" class="reference"><a href="#cite_note-M._Dorigo,_Optimization,_Learning_and_Natural_Algorithms-33"><span class="cite-bracket">&#91;</span>33<span class="cite-bracket">&#93;</span></a></sup> and has since been diversified to solve a wider class of numerical problems. Species that have multiple queens may have a queen leaving the nest along with some workers to found a colony at a new site, a process akin to <a href="/wiki/Swarming_(honey_bee)" title="Swarming (honey bee)">swarming in honeybees</a>.<sup id="cite_ref-HolldoblerWilsonAnts2_34-0" class="reference"><a href="#cite_note-HolldoblerWilsonAnts2-34"><span class="cite-bracket">&#91;</span>34<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Dorigo99_35-0" class="reference"><a href="#cite_note-Dorigo99-35"><span class="cite-bracket">&#91;</span>35<span class="cite-bracket">&#93;</span></a></sup> </p> <ul><li>Ants are behaviourally unsophisticated; collectively they perform complex tasks. Ants have highly developed sophisticated sign-based communication.</li> <li>Ants communicate using pheromones; trails are laid that can be followed by other ants.</li> <li>Routing problem ants drop different pheromones used to compute the "shortest" path from source to destination(s).</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRauchMillonasChialvo1995" class="citation journal cs1">Rauch, EM; Millonas, MM; Chialvo, DR (1995). "Pattern formation and functionality in swarm models". <i>Physics Letters A</i>. <b>207</b> (3–4): 185. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/adap-org/9507003">adap-org/9507003</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1995PhLA..207..185R">1995PhLA..207..185R</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2F0375-9601%2895%2900624-c">10.1016/0375-9601(95)00624-c</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:120567147">120567147</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Physics+Letters+A&amp;rft.atitle=Pattern+formation+and+functionality+in+swarm+models&amp;rft.volume=207&amp;rft.issue=3%E2%80%934&amp;rft.pages=185&amp;rft.date=1995&amp;rft_id=info%3Aarxiv%2Fadap-org%2F9507003&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A120567147%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1016%2F0375-9601%2895%2900624-c&amp;rft_id=info%3Abibcode%2F1995PhLA..207..185R&amp;rft.aulast=Rauch&amp;rft.aufirst=EM&amp;rft.au=Millonas%2C+MM&amp;rft.au=Chialvo%2C+DR&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading4"><h4 id="Self-propelled_particles">Self-propelled particles</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=11" title="Edit section: Self-propelled particles"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Self-propelled_particles" title="Self-propelled particles">Self-propelled particles</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 230px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External videos</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="video icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/16px-Nuvola_apps_kaboodle.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/24px-Nuvola_apps_kaboodle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/32px-Nuvola_apps_kaboodle.svg.png 2x" data-file-width="128" data-file-height="128" /></span></span> <a rel="nofollow" class="external text" href="http://phet.colorado.edu/sims/self-driven-particle-model/self-driven-particle-model_en.jar">SPP model interactive simulation</a><sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">&#91;</span>36<span class="cite-bracket">&#93;</span></a></sup><br />– needs Java</td></tr></tbody></table> <p>The concept of <a href="/wiki/Self-propelled_particles" title="Self-propelled particles">self-propelled particles</a> (SPP) was introduced in 1995 by <a href="/wiki/Tam%C3%A1s_Vicsek" title="Tamás Vicsek">Tamás Vicsek</a> <i>et al.</i><sup id="cite_ref-Vicsek1995_37-0" class="reference"><a href="#cite_note-Vicsek1995-37"><span class="cite-bracket">&#91;</span>37<span class="cite-bracket">&#93;</span></a></sup> as a special case of the boids model introduced in 1986 by Reynolds.<sup id="cite_ref-Reynolds_4-2" class="reference"><a href="#cite_note-Reynolds-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> An SPP swarm is modelled by a collection of particles that move with a constant speed and respond to random perturbations by adopting at each time increment the average direction of motion of the other particles in their local neighbourhood.<sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">&#91;</span>38<span class="cite-bracket">&#93;</span></a></sup> </p><p>Simulations demonstrate that a suitable "nearest neighbour rule" eventually results in all the particles swarming together, or moving in the same direction. This emerges, even though there is no centralized coordination, and even though the neighbours for each particle constantly change over time.<sup id="cite_ref-Vicsek1995_37-1" class="reference"><a href="#cite_note-Vicsek1995-37"><span class="cite-bracket">&#91;</span>37<span class="cite-bracket">&#93;</span></a></sup> SPP models predict that swarming animals share certain properties at the group level, regardless of the type of animals in the swarm.<sup id="cite_ref-Buhl_et_al_39-0" class="reference"><a href="#cite_note-Buhl_et_al-39"><span class="cite-bracket">&#91;</span>39<span class="cite-bracket">&#93;</span></a></sup> Swarming systems give rise to <a href="/wiki/Emergent_behaviour" class="mw-redirect" title="Emergent behaviour">emergent behaviours</a> which occur at many different scales, some of which are both universal and robust. It has become a challenge in theoretical physics to find minimal statistical models that capture these behaviours.<sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">&#91;</span>40<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Bertin_et_al_41-0" class="reference"><a href="#cite_note-Bertin_et_al-41"><span class="cite-bracket">&#91;</span>41<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Particle_swarm_optimization">Particle swarm optimization</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=12" title="Edit section: Particle swarm optimization"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Particle_swarm_optimization" title="Particle swarm optimization">Particle swarm optimization</a></div> <p><a href="/wiki/Particle_swarm_optimization" title="Particle swarm optimization">Particle swarm optimization</a> is another algorithm widely used to solve problems related to swarms. It was developed in 1995 by <a href="/wiki/James_Kennedy_(social_psychologist)" title="James Kennedy (social psychologist)">Kennedy</a> and <a href="/wiki/Russell_C._Eberhart" title="Russell C. Eberhart">Eberhart</a> and was first aimed at <a href="/wiki/Computer_simulation" title="Computer simulation">simulating</a> the social behaviour and choreography of bird flocks and fish schools.<sup id="cite_ref-kennedy95particle_42-0" class="reference"><a href="#cite_note-kennedy95particle-42"><span class="cite-bracket">&#91;</span>42<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-kennedy97particle_43-0" class="reference"><a href="#cite_note-kennedy97particle-43"><span class="cite-bracket">&#91;</span>43<span class="cite-bracket">&#93;</span></a></sup> The algorithm was simplified and it was observed to be performing optimization. The system initially seeds a population with random solutions. It then searches in the <a href="/wiki/Candidate_solution" class="mw-redirect" title="Candidate solution">problem space</a> through successive generations using <a href="/wiki/Stochastic_optimization" title="Stochastic optimization">stochastic optimization</a> to find the best solutions. The solutions it finds are called <a href="/wiki/Point_particle" title="Point particle">particles</a>. Each particle stores its position as well as the best solution it has achieved so far. The particle swarm optimizer tracks the <a href="/wiki/Maxima_and_minima" class="mw-redirect" title="Maxima and minima">best local value</a> obtained so far by any particle in the local neighbourhood. The remaining particles then move through the problem space following the lead of the optimum particles. At each time iteration, the particle swarm optimiser accelerates each particle toward its optimum locations according to simple <a href="/wiki/Mathematical_formulae" class="mw-redirect" title="Mathematical formulae">mathematical rules</a>. Particle swarm optimization has been applied in many areas. It has few parameters to adjust, and a version that works well for a specific applications can also work well with minor modifications across a range of related applications.<sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">&#91;</span>44<span class="cite-bracket">&#93;</span></a></sup> A book by Kennedy and Eberhart describes some philosophical aspects of particle swarm optimization applications and swarm intelligence.<sup id="cite_ref-kennedy01swarm_45-0" class="reference"><a href="#cite_note-kennedy01swarm-45"><span class="cite-bracket">&#91;</span>45<span class="cite-bracket">&#93;</span></a></sup> An extensive survey of applications is made by Poli.<sup id="cite_ref-poli07analysis_46-0" class="reference"><a href="#cite_note-poli07analysis-46"><span class="cite-bracket">&#91;</span>46<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-poli08analysis_47-0" class="reference"><a href="#cite_note-poli08analysis-47"><span class="cite-bracket">&#91;</span>47<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Altruism">Altruism</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=13" title="Edit section: Altruism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Researchers in Switzerland have developed an algorithm based on <a href="/wiki/Hamilton%27s_rule" class="mw-redirect" title="Hamilton&#39;s rule">Hamilton's rule</a> of kin selection. The algorithm shows how <a href="/wiki/Altruism_in_animals" class="mw-redirect" title="Altruism in animals">altruism</a> in a <a href="/wiki/Swarm" class="mw-redirect" title="Swarm">swarm</a> of entities can, over time, evolve and result in more effective swarm behaviour.<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">&#91;</span>48<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">&#91;</span>49<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Biological_swarming">Biological swarming</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=14" title="Edit section: Biological swarming"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Linear_clusters_of_Ampyx_priscus_2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Linear_clusters_of_Ampyx_priscus_2.png/155px-Linear_clusters_of_Ampyx_priscus_2.png" decoding="async" width="155" height="597" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/e/e5/Linear_clusters_of_Ampyx_priscus_2.png 1.5x" data-file-width="168" data-file-height="647" /></a><figcaption><div class="center" style="width:auto; margin-left:auto; margin-right:auto;">Linear cluster of <i>Ampyx priscus</i></div></figcaption></figure> <p>The earliest evidence of swarm behaviour in animals dates back about 480 million years. Fossils of the <a href="/wiki/Trilobite" title="Trilobite">trilobite</a> <i><a href="/wiki/Ampyx_priscus" class="mw-redirect" title="Ampyx priscus">Ampyx priscus</a></i> have been recently described as clustered in lines along the ocean floor. The animals were all mature adults, and were all facing the same direction as though they had formed a <a href="/wiki/Conga_line" title="Conga line">conga line</a> or a <a href="/wiki/Peloton" title="Peloton">peloton</a>. It has been suggested they line up in this manner to migrate, much as <a href="/wiki/Spiny_lobster" title="Spiny lobster">spiny lobsters</a> migrate in single-file queues;<sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">&#91;</span>50<span class="cite-bracket">&#93;</span></a></sup> it has also been suggested that the formation is the precursor for mating,<sup id="cite_ref-51" class="reference"><a href="#cite_note-51"><span class="cite-bracket">&#91;</span>51<span class="cite-bracket">&#93;</span></a></sup> as with the fly <i><a href="/wiki/Leptoconops_torrens" title="Leptoconops torrens">Leptoconops torrens</a></i>. The findings suggest animal collective behaviour has very early evolutionary origins.<sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">&#91;</span>52<span class="cite-bracket">&#93;</span></a></sup> </p><p>Examples of biological swarming are found in <a href="/wiki/Flocking_(behavior)" class="mw-redirect" title="Flocking (behavior)">bird flocks</a>,<sup id="cite_ref-53" class="reference"><a href="#cite_note-53"><span class="cite-bracket">&#91;</span>53<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Shoaling_and_schooling" title="Shoaling and schooling">fish schools</a>,<sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">&#91;</span>54<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">&#91;</span>55<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Insect_swarm" class="mw-redirect" title="Insect swarm">insect swarms</a>,<sup id="cite_ref-56" class="reference"><a href="#cite_note-56"><span class="cite-bracket">&#91;</span>56<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Bacteria_swarm" class="mw-redirect" title="Bacteria swarm">bacteria swarms</a>,<sup id="cite_ref-Allison_C,_Hughes_C_1991_403–422_57-0" class="reference"><a href="#cite_note-Allison_C,_Hughes_C_1991_403–422-57"><span class="cite-bracket">&#91;</span>57<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-58" class="reference"><a href="#cite_note-58"><span class="cite-bracket">&#91;</span>58<span class="cite-bracket">&#93;</span></a></sup> molds,<sup id="cite_ref-59" class="reference"><a href="#cite_note-59"><span class="cite-bracket">&#91;</span>59<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Molecular_motor" title="Molecular motor">molecular motors</a>,<sup id="cite_ref-60" class="reference"><a href="#cite_note-60"><span class="cite-bracket">&#91;</span>60<span class="cite-bracket">&#93;</span></a></sup> quadruped <a href="/wiki/Herd" title="Herd">herds</a><sup id="cite_ref-61" class="reference"><a href="#cite_note-61"><span class="cite-bracket">&#91;</span>61<span class="cite-bracket">&#93;</span></a></sup> and people.<sup id="cite_ref-62" class="reference"><a href="#cite_note-62"><span class="cite-bracket">&#91;</span>62<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-63" class="reference"><a href="#cite_note-63"><span class="cite-bracket">&#91;</span>63<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-64" class="reference"><a href="#cite_note-64"><span class="cite-bracket">&#91;</span>64<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-65" class="reference"><a href="#cite_note-65"><span class="cite-bracket">&#91;</span>65<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Social_insects">Social insects</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=15" title="Edit section: Social insects"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><span><video id="mwe_player_0" poster="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Mueckenschwarm_50p_1600kbit.ogv/220px--Mueckenschwarm_50p_1600kbit.ogv.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="220" height="165" data-durationhint="26" data-mwtitle="Mueckenschwarm_50p_1600kbit.ogv" data-mwprovider="wikimediacommons" resource="/wiki/File:Mueckenschwarm_50p_1600kbit.ogv"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Mueckenschwarm_50p_1600kbit.ogv/Mueckenschwarm_50p_1600kbit.ogv.360p.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-transcodekey="360p.webm" data-width="392" data-height="294" /><source src="//upload.wikimedia.org/wikipedia/commons/f/fb/Mueckenschwarm_50p_1600kbit.ogv" type="video/ogg; codecs=&quot;theora&quot;" data-width="392" data-height="294" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Mueckenschwarm_50p_1600kbit.ogv/Mueckenschwarm_50p_1600kbit.ogv.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="192" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Mueckenschwarm_50p_1600kbit.ogv/Mueckenschwarm_50p_1600kbit.ogv.240p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="240p.vp9.webm" data-width="320" data-height="240" /></video></span><figcaption>Swarm of <a href="/wiki/Nematocera" title="Nematocera">nematocera</a>, flying around a treetop</figcaption></figure> <p>The behaviour of social insects (insects that live in <a href="/wiki/Colony_(biology)" title="Colony (biology)">colonies</a>, such as ants, bees, wasps and termites) has always been a source of fascination for children, naturalists and artists. Individual insects seem to do their own thing without any central control, yet the colony as a whole behaves in a highly coordinated manner.<sup id="cite_ref-SwarmSmarts_66-0" class="reference"><a href="#cite_note-SwarmSmarts-66"><span class="cite-bracket">&#91;</span>66<span class="cite-bracket">&#93;</span></a></sup> Researchers have found that cooperation at the colony level is largely <a href="/wiki/Self-organization" title="Self-organization">self-organized</a>. The group coordination that emerges is often just a consequence of the way individuals in the colony interact. These interactions can be remarkably simple, such as one ant merely following the trail left by another ant. Yet put together, the cumulative effect of such behaviours can solve highly complex problems, such as locating the shortest route in a network of possible paths to a food source. The organised behaviour that emerges in this way is sometimes called <a href="/wiki/Swarm_intelligence" title="Swarm intelligence">swarm intelligence</a>, a form of <a href="/wiki/Emergence#Living,_biological_systems" title="Emergence">biological emergence</a>.<sup id="cite_ref-SwarmSmarts_66-1" class="reference"><a href="#cite_note-SwarmSmarts-66"><span class="cite-bracket">&#91;</span>66<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Ants">Ants</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=16" title="Edit section: Ants"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Ant_colony" title="Ant colony">Ant colony</a>, <a href="/wiki/Ant_colony_optimization_algorithm" class="mw-redirect" title="Ant colony optimization algorithm">Ant colony optimization algorithm</a>, <a href="/wiki/Ant_mill" title="Ant mill">Ant mill</a>, and <a href="/wiki/Ant_robotics" title="Ant robotics">Ant robotics</a></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><span><video id="mwe_player_1" poster="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/220px--Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="220" height="124" data-durationhint="146" data-mwtitle="Red_weaver_ants_transporting_a_dead_gecko,_in_Laos_(video).webm" data-mwprovider="wikimediacommons" resource="/wiki/File:Red_weaver_ants_transporting_a_dead_gecko,_in_Laos_(video).webm"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.480p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="480p.vp9.webm" data-width="854" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.720p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="720p.vp9.webm" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.1080p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="1080p.vp9.webm" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="256" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.240p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="240p.vp9.webm" data-width="426" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.360p.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-transcodekey="360p.webm" data-width="640" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm/Red_weaver_ants_transporting_a_dead_gecko%2C_in_Laos_%28video%29.webm.360p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="360p.vp9.webm" data-width="640" data-height="360" /></video></span><figcaption>A swarm of weaver ants (<i><a href="/wiki/Oecophylla_smaragdina" title="Oecophylla smaragdina">Oecophylla smaragdina</a></i>) transporting a dead gecko</figcaption></figure> <p>Individual <a href="/wiki/Ants" class="mw-redirect" title="Ants">ants</a> do not exhibit complex behaviours, yet a colony of ants collectively achieves complex tasks such as constructing nests, taking care of their young, building bridges and <a href="/wiki/Foraging" title="Foraging">foraging</a> for food. A colony of ants can collectively select (i.e. send most workers towards) the best, or closest, food source from several in the vicinity.<sup id="cite_ref-67" class="reference"><a href="#cite_note-67"><span class="cite-bracket">&#91;</span>67<span class="cite-bracket">&#93;</span></a></sup> Such collective decisions are achieved using positive feedback mechanisms. Selection of the best food source is achieved by ants following two simple rules. First, ants which find food return to the nest depositing a <a href="/wiki/Pheromone" title="Pheromone">pheromone</a> chemical. More pheromone is laid for higher quality food sources.<sup id="cite_ref-68" class="reference"><a href="#cite_note-68"><span class="cite-bracket">&#91;</span>68<span class="cite-bracket">&#93;</span></a></sup> Thus, if two equidistant food sources of different qualities are found simultaneously, the pheromone trail to the better one will be stronger. Ants in the nest follow another simple rule, to favor stronger trails, on average. More ants then follow the stronger trail, so more ants arrive at the high quality food source, and a positive feedback cycle ensures, resulting in a collective decision for the best food source. If there are two paths from the ant nest to a food source, then the colony usually selects the shorter path. This is because the ants that first return to the nest from the food source are more likely to be those that took the shorter path. More ants then retrace the shorter path, reinforcing the pheromone trail.<sup id="cite_ref-69" class="reference"><a href="#cite_note-69"><span class="cite-bracket">&#91;</span>69<span class="cite-bracket">&#93;</span></a></sup> </p><p><a href="/wiki/Army_ant" title="Army ant">Army ants</a>, unlike most ant species, do not construct permanent nests; an army ant colony moves almost incessantly over the time it exists, remaining in an essentially perpetual state of swarming. Several lineages have independently evolved the same basic behavioural and ecological syndrome, often referred to as "legionary behaviour", and may be an example of <a href="/wiki/Convergent_evolution" title="Convergent evolution">convergent evolution</a>.<sup id="cite_ref-brady2003_70-0" class="reference"><a href="#cite_note-brady2003-70"><span class="cite-bracket">&#91;</span>70<span class="cite-bracket">&#93;</span></a></sup> </p><p>The successful techniques used by <a href="/wiki/Ant_colonies" class="mw-redirect" title="Ant colonies">ant colonies</a> have been studied in computer science and <a href="/wiki/Robotics" title="Robotics">robotics</a> to produce <a href="/wiki/Distributed_system" class="mw-redirect" title="Distributed system">distributed</a> and <a href="/wiki/Fault-tolerant_system" class="mw-redirect" title="Fault-tolerant system">fault-tolerant systems</a> for solving problems. This area of <a href="/wiki/Biomimetics" title="Biomimetics">biomimetics</a> has led to studies of ant locomotion, search engines that make use of "foraging trails", fault-tolerant storage and <a href="/wiki/Category:Networking_algorithms" title="Category:Networking algorithms">networking algorithms</a>.<sup id="cite_ref-SANdisk_71-0" class="reference"><a href="#cite_note-SANdisk-71"><span class="cite-bracket">&#91;</span>71<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Honey_bees">Honey bees</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=17" title="Edit section: Honey bees"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Bee_swarm_feb08.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Bee_swarm_feb08.jpg/170px-Bee_swarm_feb08.jpg" decoding="async" width="170" height="255" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Bee_swarm_feb08.jpg/255px-Bee_swarm_feb08.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Bee_swarm_feb08.jpg/340px-Bee_swarm_feb08.jpg 2x" data-file-width="1067" data-file-height="1600" /></a><figcaption>Bees swarming on a tree</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/Bees_algorithm" title="Bees algorithm">Bees algorithm</a> and <a href="/wiki/Swarming_(honey_bee)" title="Swarming (honey bee)">Swarming (honey bee)</a></div> <p>In temperate climates, <a href="/wiki/Honey_bee" title="Honey bee">honey bees</a> usually form swarms in late spring. A swarm typically contains about half the workers together with the old queen, while the new queen stays back with the remaining workers in the original hive. When honey bees emerge from a hive to form a swarm, they may gather on a branch of a tree or on a bush only a few meters from the hive. The bees cluster about the queen and send out 20–50 scouts to find suitable new nest locations. The scouts are the most experienced foragers in the cluster. If a scout finds a suitable location, she returns to the cluster and promotes it by dancing a version of the <a href="/wiki/Waggle_dance" title="Waggle dance">waggle dance</a>. This dance conveys information about the quality, direction, and distance of the new site. The more excited she is about her findings, the more vigorously she dances. If she can convince others they may take off and check the site she found. If they approve they may promote it as well. In this decision-making process, scouts check several sites, often abandoning their own original site to promote the superior site of another scout. Several different sites may be promoted by different scouts at first. After some hours and sometimes days, a preferred location eventually emerges from this decision-making process. When all scouts agree on the final location, the whole cluster takes off and swarms to it. Sometimes, if no decision is reached, the swarm will separate, some bees going in one direction; others, going in another. This usually results in failure, with both groups dying. A new location is typically a kilometre or more from the original hive, though some species, e.g., <i><a href="/wiki/Apis_dorsata" title="Apis dorsata">Apis dorsata</a></i>,<sup id="cite_ref-72" class="reference"><a href="#cite_note-72"><span class="cite-bracket">&#91;</span>72<span class="cite-bracket">&#93;</span></a></sup> may establish new colonies within as little as 500 meters from the natal nest. This collective decision-making process is remarkably successful in identifying the most suitable new nest site and keeping the swarm intact. A good hive site has to be large enough to accommodate the swarm (about 15 litres in volume), has to be well-protected from the elements, receive an optimal amount of sunshine, be some height above the ground, have a small entrance and be capable of resisting ant infestation - that is why tree cavities are often selected.<sup id="cite_ref-73" class="reference"><a href="#cite_note-73"><span class="cite-bracket">&#91;</span>73<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-74" class="reference"><a href="#cite_note-74"><span class="cite-bracket">&#91;</span>74<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-75" class="reference"><a href="#cite_note-75"><span class="cite-bracket">&#91;</span>75<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-76" class="reference"><a href="#cite_note-76"><span class="cite-bracket">&#91;</span>76<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-77" class="reference"><a href="#cite_note-77"><span class="cite-bracket">&#91;</span>77<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Non-social_insects">Non-social insects</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=18" title="Edit section: Non-social insects"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Unlike social insects, swarms of non-social insects that have been studied primarily seem to function in contexts such as mating, feeding, predator avoidance, and migration. </p> <div class="mw-heading mw-heading4"><h4 id="Moths">Moths</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=19" title="Edit section: Moths"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Moths may exhibit synchronized mating, during which pheromones released by females initiate searching and swarming behavior in males.<sup id="cite_ref-78" class="reference"><a href="#cite_note-78"><span class="cite-bracket">&#91;</span>78<span class="cite-bracket">&#93;</span></a></sup> Males sense pheromones with sensitive antennae and may track females as far as several kilometers away.<sup id="cite_ref-79" class="reference"><a href="#cite_note-79"><span class="cite-bracket">&#91;</span>79<span class="cite-bracket">&#93;</span></a></sup> Swarm mating involves female choice and male competition. Only one male in the swarm—typically the first—will successfully copulate.<sup id="cite_ref-80" class="reference"><a href="#cite_note-80"><span class="cite-bracket">&#91;</span>80<span class="cite-bracket">&#93;</span></a></sup> Females maximize <a href="/wiki/Fitness_(biology)" title="Fitness (biology)">fitness</a> benefits and minimize cost by governing the onset and magnitude of pheromone deployed. Too little pheromone will not attract a mate, too much allows less fit males to sense the signal.<sup id="cite_ref-81" class="reference"><a href="#cite_note-81"><span class="cite-bracket">&#91;</span>81<span class="cite-bracket">&#93;</span></a></sup> After copulation, females lay the eggs on a host plant. Quality of host plant may be a factor influencing the location of swarming and egg-laying. In one case, researchers observed pink-striped oakworm moths (<i><a href="/wiki/Anisota_virginiensis" title="Anisota virginiensis">Anisota virginiensis</a></i>) swarming at a <a href="/wiki/Carrion" title="Carrion">carrion</a> site, where decomposition likely increased soil nutrient levels and host plant quality.<sup id="cite_ref-82" class="reference"><a href="#cite_note-82"><span class="cite-bracket">&#91;</span>82<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Flies">Flies</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=20" title="Edit section: Flies"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Midges, such as <i><a href="/wiki/Tokunagayusurika_akamusi" title="Tokunagayusurika akamusi">Tokunagayusurika akamusi</a>,</i> form swarms, dancing in the air. Swarming serves multiple purposes, including the facilitation of mating by attracting females to approach the swarm, a phenomenon known as <a href="/wiki/Lek_mating" title="Lek mating">lek mating</a>. Such cloud-like swarms often form in early evening when the sun is getting low, at the tip of a bush, on a hilltop, over a pool of water, or even sometimes above a person. The forming of such swarms is not out of instinct, but an adaptive behavior – a "consensus" – between the individuals within the swarms. It is also suggested that swarming is a <a href="/wiki/Ritual" title="Ritual">ritual</a>, because there is rarely any male midge by itself and not in a swarm. This could have formed due to the benefit of lowering inbreeding by having males of various genes gathering in one spot.<sup id="cite_ref-83" class="reference"><a href="#cite_note-83"><span class="cite-bracket">&#91;</span>83<span class="cite-bracket">&#93;</span></a></sup> The genus <i><a href="/wiki/Culicoides" title="Culicoides">Culicoides</a></i>, also known as biting midges, have displayed swarming behavior which are believed to cause confusion in predators.<sup id="cite_ref-84" class="reference"><a href="#cite_note-84"><span class="cite-bracket">&#91;</span>84<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Cockroaches">Cockroaches</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=21" title="Edit section: Cockroaches"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Cockroach" title="Cockroach">Cockroaches</a> leave chemical trails in their feces as well as emitting airborne <a href="/wiki/Pheromones" class="mw-redirect" title="Pheromones">pheromones</a> for mating. Other cockroaches will follow these trails to discover sources of food and water, and also discover where other cockroaches are hiding. Thus, groups of cockroaches can exhibit <a href="/wiki/Emergence#Living,_biological_systems" title="Emergence">emergent behaviour</a>,<sup id="cite_ref-viegas_85-0" class="reference"><a href="#cite_note-viegas-85"><span class="cite-bracket">&#91;</span>85<span class="cite-bracket">&#93;</span></a></sup> in which group or swarm behaviour emerges from a simple set of individual interactions. </p><p>Cockroaches are mainly nocturnal and will run away when exposed to light. A study tested the hypothesis that cockroaches use just two pieces of information to decide where to go under those conditions: how dark it is and how many other cockroaches there are. The study conducted by José Halloy and colleagues at the <a href="/wiki/Universit%C3%A9_Libre_de_Bruxelles" class="mw-redirect" title="Université Libre de Bruxelles">Free University of Brussels</a> and other European institutions created a set of tiny <a href="/wiki/Robot" title="Robot">robots</a> that appear to the roaches as other roaches and can thus alter the roaches' perception of <a href="/wiki/Critical_mass_(sociodynamics)" title="Critical mass (sociodynamics)">critical mass</a>. The robots were also specially scented so that they would be accepted by the real roaches.<sup id="cite_ref-86" class="reference"><a href="#cite_note-86"><span class="cite-bracket">&#91;</span>86<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Locusts">Locusts</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=22" title="Edit section: Locusts"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Marching_locusts" class="mw-redirect" title="Marching locusts">Marching locusts</a></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Schwarm_Wanderheuschrecke.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Schwarm_Wanderheuschrecke.jpg/170px-Schwarm_Wanderheuschrecke.jpg" decoding="async" width="170" height="271" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Schwarm_Wanderheuschrecke.jpg/255px-Schwarm_Wanderheuschrecke.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Schwarm_Wanderheuschrecke.jpg/340px-Schwarm_Wanderheuschrecke.jpg 2x" data-file-width="1000" data-file-height="1592" /></a><figcaption>A 19th century depiction of a swarm of <a href="/wiki/Desert_locust" title="Desert locust">desert locusts</a></figcaption></figure> <p><a href="/wiki/Locust" title="Locust">Locusts</a> are the swarming phase of the short-horned <a href="/wiki/Grasshopper" title="Grasshopper">grasshoppers</a> of the family <a href="/wiki/Acrididae" title="Acrididae">Acrididae</a>. Some species can breed rapidly under suitable conditions and subsequently become gregarious and migratory. They form bands as <a href="/wiki/Nymph_(biology)" title="Nymph (biology)">nymphs</a> and swarms as adults—both of which can travel great distances, rapidly stripping fields and greatly <a href="/wiki/Pest_(organism)" title="Pest (organism)">damaging crops</a>. The largest swarms can cover hundreds of square miles and contain billions of locusts. A locust can eat its own weight (about 2&#160;grams) in plants every day. That means one million locusts can eat more than one tonne of food each day, and the largest swarms can consume over 100,000 <a href="/wiki/Tonne" title="Tonne">tonnes</a> each day.<sup id="cite_ref-87" class="reference"><a href="#cite_note-87"><span class="cite-bracket">&#91;</span>87<span class="cite-bracket">&#93;</span></a></sup> </p><p>Swarming in locusts has been found to be associated with increased levels of <a href="/wiki/Serotonin" title="Serotonin">serotonin</a> which causes the locust to change colour, eat much more, become mutually attracted, and breed much more easily. Researchers propose that swarming behaviour is a response to overcrowding and studies have shown that increased tactile stimulation of the hind legs or, in some species, simply encountering other individuals causes an increase in levels of serotonin. The transformation of the locust to the swarming variety can be induced by several contacts per minute over a four-hour period.<sup id="cite_ref-88" class="reference"><a href="#cite_note-88"><span class="cite-bracket">&#91;</span>88<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-89" class="reference"><a href="#cite_note-89"><span class="cite-bracket">&#91;</span>89<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-90" class="reference"><a href="#cite_note-90"><span class="cite-bracket">&#91;</span>90<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-91" class="reference"><a href="#cite_note-91"><span class="cite-bracket">&#91;</span>91<span class="cite-bracket">&#93;</span></a></sup> Notably, an innate predisposition to aggregate has been found in hatchlings of the desert locust, <i><a href="/wiki/Schistocerca_gregaria" class="mw-redirect" title="Schistocerca gregaria">Schistocerca gregaria</a></i>, independent of their parental phase.<sup id="cite_ref-92" class="reference"><a href="#cite_note-92"><span class="cite-bracket">&#91;</span>92<span class="cite-bracket">&#93;</span></a></sup> </p><p>An individual locust's response to a loss of alignment in the group appears to increase the randomness of its motion, until an aligned state is again achieved. This noise-induced alignment appears to be an intrinsic characteristic of collective coherent motion.<sup id="cite_ref-93" class="reference"><a href="#cite_note-93"><span class="cite-bracket">&#91;</span>93<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Migratory_behavior">Migratory behavior</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=23" title="Edit section: Migratory behavior"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Monarch_flock.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Monarch_flock.jpg/170px-Monarch_flock.jpg" decoding="async" width="170" height="227" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Monarch_flock.jpg/255px-Monarch_flock.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Monarch_flock.jpg/340px-Monarch_flock.jpg 2x" data-file-width="400" data-file-height="533" /></a><figcaption>Cluster of <a href="/wiki/Monarch_butterfly" title="Monarch butterfly">monarch butterflies</a>. Monarch butterflies migrate to <a href="/wiki/Santa_Cruz,_California" title="Santa Cruz, California">Santa Cruz, California</a>, where they <a href="/wiki/Overwinter" class="mw-redirect" title="Overwinter">overwinter</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Insect_migration" title="Insect migration">Insect migration</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Lepidoptera_migration" title="Lepidoptera migration">Lepidoptera migration</a></div> <p><a href="/wiki/Insect_migration" title="Insect migration">Insect migration</a> is the seasonal movement of <a href="/wiki/Insect" title="Insect">insects</a>, particularly those by species of <a href="/wiki/Dragonfly" title="Dragonfly">dragonflies</a>, <a href="/wiki/Beetle" title="Beetle">beetles</a>, <a href="/wiki/Butterfly" title="Butterfly">butterflies</a>, and <a href="/wiki/Moth" title="Moth">moths</a>. The distance can vary from species to species, but in most cases these movements involve large numbers of individuals. In some cases the individuals that migrate in one direction may not return and the next generation may instead migrate in the opposite direction. This is a significant difference from <a href="/wiki/Bird_migration" title="Bird migration">bird migration</a>. </p><p><a href="/wiki/Monarch_butterfly" title="Monarch butterfly">Monarch butterflies</a> are especially noted for their lengthy annual migration. In North America they make massive southward migrations starting in August until the first frost. A northward migration takes place in the spring. The monarch is the only butterfly that migrates both north and south as the birds do on a regular basis. But no single individual makes the entire round trip. Female monarchs deposit eggs for the next generation during these migrations.<sup id="cite_ref-94" class="reference"><a href="#cite_note-94"><span class="cite-bracket">&#91;</span>94<span class="cite-bracket">&#93;</span></a></sup> The length of these journeys exceeds the normal lifespan of most monarchs, which is less than two months for butterflies born in early summer. The last generation of the summer enters into a non-reproductive phase known as <a href="/wiki/Diapause" title="Diapause">diapause</a> and may live seven months or more.<sup id="cite_ref-ref1_95-0" class="reference"><a href="#cite_note-ref1-95"><span class="cite-bracket">&#91;</span>95<span class="cite-bracket">&#93;</span></a></sup> During diapause, butterflies fly to one of many overwintering sites. The generation that overwinters generally does not reproduce until it leaves the overwintering site sometime in February and March. It is the second, third and fourth generations that return to their northern locations in the United States and Canada in the spring. How the species manages to return to the same overwintering spots over a gap of several generations is still a subject of research; the flight patterns appear to be inherited, based on a combination of the position of the sun in the sky<sup id="cite_ref-96" class="reference"><a href="#cite_note-96"><span class="cite-bracket">&#91;</span>96<span class="cite-bracket">&#93;</span></a></sup> and a time-compensated Sun compass that depends upon a <a href="/wiki/Circadian_clock" title="Circadian clock">circadian clock</a> that is based in their antennae.<sup id="cite_ref-97" class="reference"><a href="#cite_note-97"><span class="cite-bracket">&#91;</span>97<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-98" class="reference"><a href="#cite_note-98"><span class="cite-bracket">&#91;</span>98<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Birds">Birds</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=24" title="Edit section: Birds"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg/220px-Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg" decoding="async" width="220" height="136" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg/330px-Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg/440px-Rail_Bridge_Swarm_of_Starlings._-_geograph.org.uk_-_124591.jpg 2x" data-file-width="640" data-file-height="395" /></a><figcaption>Recent studies of <a href="/wiki/Starling" title="Starling">starling</a> flocks have shown that each bird modifies its position, relative to the six or seven animals directly surrounding it, no matter how close or how far away those animals are.<sup id="cite_ref-Ballerini_et_al_5-1" class="reference"><a href="#cite_note-Ballerini_et_al-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup><br /> <hr /> <span typeof="mw:File"><a href="/wiki/File:Nuvola_apps_kaboodle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/16px-Nuvola_apps_kaboodle.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/24px-Nuvola_apps_kaboodle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/32px-Nuvola_apps_kaboodle.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> <a rel="nofollow" class="external text" href="https://vimeo.com/31158841">Murmurations of starlings</a> </figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Flocking_(behaviour)" class="mw-redirect" title="Flocking (behaviour)">Flocking (behaviour)</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Flock_(birds)" title="Flock (birds)">Flock (birds)</a>, <a href="/wiki/Bird_landings" class="mw-redirect" title="Bird landings">Bird landings</a>, <a href="/wiki/Bird_strike" title="Bird strike">Bird strike</a>, <a href="/wiki/Mixed-species_foraging_flock" title="Mixed-species foraging flock">Mixed-species foraging flock</a>, and <a href="/wiki/Mobbing_behaviour" class="mw-redirect" title="Mobbing behaviour">Mobbing behaviour</a></div><p><sup id="cite_ref-99" class="reference"><a href="#cite_note-99"><span class="cite-bracket">&#91;</span>99<span class="cite-bracket">&#93;</span></a></sup> </p><div class="mw-heading mw-heading4"><h4 id="Bird_migration">Bird migration</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=25" title="Edit section: Bird migration"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg/220px-PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg" decoding="async" width="220" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg/330px-PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg/440px-PSM_V84_D217_2_Flocking_habit_of_migratory_birds_fig5.jpg 2x" data-file-width="985" data-file-height="561" /></a><figcaption>Large bird typically migrate in V <a href="/wiki/Echelon_formation" title="Echelon formation">echelon formations</a>. There are significant aerodynamic gains. All birds can see ahead, and towards one side, making a good arrangement for protection. </figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Bird_migration" title="Bird migration">Bird migration</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Reverse_migration_(birds)" title="Reverse migration (birds)">Reverse migration (birds)</a></div> <p>Approximately 1800 of the world's 10,000 bird species are long-distance migrants.<sup id="cite_ref-100" class="reference"><a href="#cite_note-100"><span class="cite-bracket">&#91;</span>100<span class="cite-bracket">&#93;</span></a></sup> The primary motivation for migration appears to be food; for example, some hummingbirds choose not to migrate if fed through the winter. Also, the longer days of the northern summer provide extended time for <a href="/wiki/Breeding_in_the_wild" title="Breeding in the wild">breeding</a> birds to feed their young. This helps <a href="/wiki/Diurnality" title="Diurnality">diurnal</a> birds to produce larger <a href="/wiki/Clutch_(eggs)" title="Clutch (eggs)">clutches</a> than related non-migratory species that remain in the tropics. As the days shorten in autumn, the birds return to warmer regions where the available food supply varies little with the season. These advantages offset the high stress, physical exertion costs, and other risks of the migration such as predation. </p><p>Many birds migrate in flocks. For larger birds, it is assumed that flying in flocks reduces energy costs. The V formation is often supposed to boost the efficiency and range of flying birds, particularly over long <a href="/wiki/Bird_migration" title="Bird migration">migratory</a> routes. All the birds except the first fly in the <a href="/wiki/Upwash" class="mw-redirect" title="Upwash">upwash</a> from one of the <a href="/wiki/Wingtip_vortices" title="Wingtip vortices">wingtip vortices</a> of the bird ahead. The upwash assists each bird in supporting its own weight in flight, in the same way a <a href="/wiki/Glider_aircraft" class="mw-redirect" title="Glider aircraft">glider</a> can climb or maintain height indefinitely in rising air. Geese flying in a <a href="/wiki/V_formation" title="V formation">V formation</a> save energy by flying in the updraft of the wingtip vortex generated by the previous animal in the formation. Thus, the birds flying behind do not need to work as hard to achieve lift. Studies show that birds in a V formation place themselves roughly at the optimum distance predicted by simple aerodynamic theory.<sup id="cite_ref-101" class="reference"><a href="#cite_note-101"><span class="cite-bracket">&#91;</span>101<span class="cite-bracket">&#93;</span></a></sup> Geese in a V-formation may conserve 12–20% of the energy they would need to fly alone.<sup id="cite_ref-102" class="reference"><a href="#cite_note-102"><span class="cite-bracket">&#91;</span>102<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-103" class="reference"><a href="#cite_note-103"><span class="cite-bracket">&#91;</span>103<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Red_knot" title="Red knot">Red knots</a> and <a href="/wiki/Dunlin" title="Dunlin">dunlins</a> were found in radar studies to fly 5&#160;km per hour faster in flocks than when they were flying alone.<sup id="cite_ref-newton_104-0" class="reference"><a href="#cite_note-newton-104"><span class="cite-bracket">&#91;</span>104<span class="cite-bracket">&#93;</span></a></sup> The birds flying at the tips and at the front are rotated in a timely cyclical fashion to spread flight <a href="/wiki/Fatigue_(medical)" class="mw-redirect" title="Fatigue (medical)">fatigue</a> equally among the flock members. The formation also makes communication easier and allows the birds to maintain visual contact with each other. </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><span><video id="mwe_player_2" poster="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Flock_of_birds_at_Rome.ogv/220px--Flock_of_birds_at_Rome.ogv.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="220" height="165" data-durationhint="62" data-mwtitle="Flock_of_birds_at_Rome.ogv" data-mwprovider="wikimediacommons" resource="/wiki/File:Flock_of_birds_at_Rome.ogv"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/Flock_of_birds_at_Rome.ogv/Flock_of_birds_at_Rome.ogv.480p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="480p.vp9.webm" data-width="640" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/e/ee/Flock_of_birds_at_Rome.ogv" type="video/ogg; codecs=&quot;theora, vorbis&quot;" data-width="640" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/Flock_of_birds_at_Rome.ogv/Flock_of_birds_at_Rome.ogv.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="192" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/Flock_of_birds_at_Rome.ogv/Flock_of_birds_at_Rome.ogv.240p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="240p.vp9.webm" data-width="320" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/Flock_of_birds_at_Rome.ogv/Flock_of_birds_at_Rome.ogv.360p.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-transcodekey="360p.webm" data-width="480" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/Flock_of_birds_at_Rome.ogv/Flock_of_birds_at_Rome.ogv.360p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="360p.vp9.webm" data-width="480" data-height="360" /></video></span><figcaption>Common starlings</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 220px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External videos</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="video icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/16px-Nuvola_apps_kaboodle.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/24px-Nuvola_apps_kaboodle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/32px-Nuvola_apps_kaboodle.svg.png 2x" data-file-width="128" data-file-height="128" /></span></span> <a rel="nofollow" class="external text" href="http://www.red3d.com/cwr/boids/">Lobster Migration scene</a><br /><small>– from <a href="/wiki/The_Trials_of_Life" title="The Trials of Life">The Trials of Life</a></small></td></tr></tbody></table> <p>Other animals may use similar drafting techniques when migrating. <a href="/wiki/Lobster" title="Lobster">Lobsters</a>, for example, migrate in close single-file formation "lobster trains", sometimes for hundreds of miles. </p><p>The Mediterranean and other seas present a major obstacle to soaring birds, which must cross at the narrowest points. Massive numbers of large <a href="/wiki/Bird_of_prey" title="Bird of prey">raptors</a> and storks pass through areas such as <a href="/wiki/Gibraltar" title="Gibraltar">Gibraltar</a>, <a href="/wiki/Falsterbo" title="Falsterbo">Falsterbo</a>, and the <a href="/wiki/Bosphorus" class="mw-redirect" title="Bosphorus">Bosphorus</a> at migration times. More common species, such as the <a href="/wiki/European_honey_buzzard" title="European honey buzzard">European honey buzzard</a>, can be counted in hundreds of thousands in autumn. Other barriers, such as mountain ranges, can also cause funnelling, particularly of large diurnal migrants. This is a notable factor in the <a href="/wiki/Central_America" title="Central America">Central American</a> migratory bottleneck. This concentration of birds during migration can put species at risk. Some spectacular migrants have already gone extinct, the most notable being the <a href="/wiki/Passenger_pigeon" title="Passenger pigeon">passenger pigeon</a>. During migration the flocks were a mile (1.6&#160;km) wide and 300 miles (500&#160;km) long, taking several days to pass and containing up to a billion birds. </p> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading3"><h3 id="Marine_life">Marine life</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=26" title="Edit section: Marine life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Fish">Fish</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=27" title="Edit section: Fish"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Shoaling_and_schooling" title="Shoaling and schooling">Shoaling and schooling</a></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Moofushi_Kandu_fish.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Moofushi_Kandu_fish.jpg/220px-Moofushi_Kandu_fish.jpg" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Moofushi_Kandu_fish.jpg/330px-Moofushi_Kandu_fish.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Moofushi_Kandu_fish.jpg/440px-Moofushi_Kandu_fish.jpg 2x" data-file-width="1632" data-file-height="1224" /></a><figcaption><a href="/wiki/Shoaling_and_schooling" title="Shoaling and schooling">Schooling</a> predator fish size up schooling <a href="/wiki/Anchovy" title="Anchovy">anchovies</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 228px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External image</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=kI1aU1RVILY">Foraging efficiency</a><sup id="cite_ref-105" class="reference"><a href="#cite_note-105"><span class="cite-bracket">&#91;</span>105<span class="cite-bracket">&#93;</span></a></sup></td></tr></tbody></table> <p>The term "shoal" can be used to describe any group of fish, including mixed-species groups, while "school" is used for more closely knit groups of the same species swimming in a highly synchronised and polarised manner. </p><p>Fish derive many benefits from shoaling behaviour including defence against predators (through better predator detection and by diluting the chance of capture), enhanced <a href="/wiki/Foraging" title="Foraging">foraging</a> success, and higher success in finding a mate.<sup id="cite_ref-Pitcher_1993_106-0" class="reference"><a href="#cite_note-Pitcher_1993-106"><span class="cite-bracket">&#91;</span>106<span class="cite-bracket">&#93;</span></a></sup> It is also likely that fish benefit from shoal membership through increased <a href="/wiki/Hydrodynamic" class="mw-redirect" title="Hydrodynamic">hydrodynamic</a> efficiency.<sup id="cite_ref-Hoare_et_al._2000_107-0" class="reference"><a href="#cite_note-Hoare_et_al._2000-107"><span class="cite-bracket">&#91;</span>107<span class="cite-bracket">&#93;</span></a></sup> </p><p>Fish use many traits to choose shoalmates. Generally they prefer larger shoals, shoalmates of their own species, shoalmates similar in size and appearance to themselves, healthy fish, and kin (when recognised). The "oddity effect" posits that any shoal member that stands out in appearance will be preferentially targeted by predators. This may explain why fish prefer to shoal with individuals that resemble them. The oddity effect would thus tend to homogenise shoals.<sup id="cite_ref-108" class="reference"><a href="#cite_note-108"><span class="cite-bracket">&#91;</span>108<span class="cite-bracket">&#93;</span></a></sup> </p><p>One puzzling aspect of shoal selection is how a fish can choose to join a shoal of animals similar to themselves, given that it cannot know its own appearance. Experiments with <a href="/wiki/Zebrafish" title="Zebrafish">zebrafish</a> have shown that shoal preference is a learned ability, not innate. A zebrafish tends to associate with shoals that resemble shoals in which it was reared, a form of <a href="/wiki/Imprinting_(psychology)" title="Imprinting (psychology)">imprinting</a>.<sup id="cite_ref-109" class="reference"><a href="#cite_note-109"><span class="cite-bracket">&#91;</span>109<span class="cite-bracket">&#93;</span></a></sup> </p><p>Other open questions of shoaling behaviour include identifying which individuals are responsible for the direction of shoal movement. In the case of <a href="/wiki/Fish_migration" title="Fish migration">migratory</a> movement, most members of a shoal seem to know where they are going. In the case of foraging behaviour, captive shoals of <a href="/wiki/Golden_shiner" title="Golden shiner">golden shiner</a> (a kind of <a href="/wiki/Minnow" title="Minnow">minnow</a>) are led by a small number of experienced individuals who knew when and where food was available.<sup id="cite_ref-110" class="reference"><a href="#cite_note-110"><span class="cite-bracket">&#91;</span>110<span class="cite-bracket">&#93;</span></a></sup> </p><p>Radakov estimated herring schools in the North Atlantic can occupy up to 4.8 cubic kilometres (1.2&#160;cu&#160;mi) with fish densities between 0.5 and 1.0 fish/cubic metre, totalling several billion fish in one school.<sup id="cite_ref-111" class="reference"><a href="#cite_note-111"><span class="cite-bracket">&#91;</span>111<span class="cite-bracket">&#93;</span></a></sup> </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Eel_life_history" title="Eel life history">Eel life history</a></div> <ul><li>Partridge BL (1982) <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110703035553/https://137.146.28.140/biology/BI358j/Readings/Partridge%201982.pdf">"The structure and function of fish schools"</a> <i>Scientific American</i>, June:114–123.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFParrishViscidoGrunbaum2002" class="citation journal cs1">Parrish JK, Viscido SV, Grunbaum D (2002). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060911165104/http://faculty.washington.edu/random/Reprints/Parrishetal02.pdf">"Self-Organized Fish Schools: An Examination of Emergent Properties"</a> <span class="cs1-format">(PDF)</span>. <i>Biol. Bull</i>. <b>202</b> (3): 296–305. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.116.1548">10.1.1.116.1548</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F1543482">10.2307/1543482</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a>&#160;<a rel="nofollow" class="external text" href="https://www.jstor.org/stable/1543482">1543482</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/12087003">12087003</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:377484">377484</a>. Archived from <a rel="nofollow" class="external text" href="http://faculty.washington.edu/random/Reprints/Parrishetal02.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 11 September 2006.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Biol.+Bull.&amp;rft.atitle=Self-Organized+Fish+Schools%3A+An+Examination+of+Emergent+Properties&amp;rft.volume=202&amp;rft.issue=3&amp;rft.pages=296-305&amp;rft.date=2002&amp;rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F1543482%23id-name%3DJSTOR&amp;rft_id=info%3Adoi%2F10.2307%2F1543482&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.116.1548%23id-name%3DCiteSeerX&amp;rft_id=info%3Apmid%2F12087003&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A377484%23id-name%3DS2CID&amp;rft.aulast=Parrish&amp;rft.aufirst=JK&amp;rft.au=Viscido%2C+SV&amp;rft.au=Grunbaum%2C+D&amp;rft_id=http%3A%2F%2Ffaculty.washington.edu%2Frandom%2FReprints%2FParrishetal02.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading4"><h4 id="Fish_migration">Fish migration</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=28" title="Edit section: Fish migration"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Fish_migration" title="Fish migration">Fish migration</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Sardine_run" title="Sardine run">Sardine run</a> and <a href="/wiki/Salmon_run" title="Salmon run">Salmon run</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 228px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External image</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=xYl4m0xFcCU">Video clip of the "Sardine run"</a><sup id="cite_ref-112" class="reference"><a href="#cite_note-112"><span class="cite-bracket">&#91;</span>112<span class="cite-bracket">&#93;</span></a></sup></td></tr></tbody></table> <p>Between May and July huge numbers of <a href="/wiki/Sardine" title="Sardine">sardines</a> spawn in the cool waters of the <a href="/wiki/Agulhas_Bank" title="Agulhas Bank">Agulhas Bank</a> and then follow a current of cold water northward along the east coast of South Africa. This great migration, called the <a href="/wiki/Sardine_run" title="Sardine run">sardine run</a>, creates spectacular feeding frenzies along the coastline as marine predators, such as dolphins, sharks and gannets attack the schools. </p> <div class="mw-heading mw-heading4"><h4 id="Krill">Krill</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=29" title="Edit section: Krill"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Krill_swarm.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Krill_swarm.jpg/220px-Krill_swarm.jpg" decoding="async" width="220" height="151" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Krill_swarm.jpg/330px-Krill_swarm.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Krill_swarm.jpg/440px-Krill_swarm.jpg 2x" data-file-width="1732" data-file-height="1188" /></a><figcaption>Swarming <a href="/wiki/Krill" title="Krill">krill</a></figcaption></figure> <p>Most <a href="/wiki/Krill" title="Krill">krill</a>, small shrimp-like <a href="/wiki/Crustacean" title="Crustacean">crustaceans</a>, form large swarms, sometimes reaching densities of 10,000–60,000 individual animals per cubic metre.<sup id="cite_ref-H+83_113-0" class="reference"><a href="#cite_note-H+83-113"><span class="cite-bracket">&#91;</span>113<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-114" class="reference"><a href="#cite_note-114"><span class="cite-bracket">&#91;</span>114<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-115" class="reference"><a href="#cite_note-115"><span class="cite-bracket">&#91;</span>115<span class="cite-bracket">&#93;</span></a></sup> Swarming is a defensive mechanism, confusing smaller predators that would like to pick out single individuals. The largest swarms are visible from space and can be tracked by satellite.<sup id="cite_ref-116" class="reference"><a href="#cite_note-116"><span class="cite-bracket">&#91;</span>116<span class="cite-bracket">&#93;</span></a></sup> One swarm was observed to cover an area of 450 square kilometres (175 square miles) of ocean, to a depth of 200 meters (650 feet) and was estimated to contain over 2 million tons of krill.<sup id="cite_ref-Hoare,_Ben_2009_p._107_117-0" class="reference"><a href="#cite_note-Hoare,_Ben_2009_p._107-117"><span class="cite-bracket">&#91;</span>117<span class="cite-bracket">&#93;</span></a></sup> Recent research suggests that krill do not simply drift passively in these currents but actually modify them.<sup id="cite_ref-Hoare,_Ben_2009_p._107_117-1" class="reference"><a href="#cite_note-Hoare,_Ben_2009_p._107-117"><span class="cite-bracket">&#91;</span>117<span class="cite-bracket">&#93;</span></a></sup> Krill typically follow a <a href="/wiki/Diurnality" title="Diurnality">diurnal</a> <a href="/wiki/Diel_vertical_migration" title="Diel vertical migration">vertical migration</a>. By moving vertically through the ocean on a 12-hour cycle, the swarms play a major part in mixing deeper, nutrient-rich water with nutrient-poor water at the surface.<sup id="cite_ref-Hoare,_Ben_2009_p._107_117-2" class="reference"><a href="#cite_note-Hoare,_Ben_2009_p._107-117"><span class="cite-bracket">&#91;</span>117<span class="cite-bracket">&#93;</span></a></sup> Until recently it has been assumed that they spend the day at greater depths and rise during the night toward the surface. It has been found that the deeper they go, the more they reduce their activity,<sup id="cite_ref-118" class="reference"><a href="#cite_note-118"><span class="cite-bracket">&#91;</span>118<span class="cite-bracket">&#93;</span></a></sup> apparently to reduce encounters with predators and to conserve energy. </p><p>Later work suggested that swimming activity in krill varied with stomach fullness. Satiated animals that had been feeding at the surface swim less actively and therefore sink below the mixed layer.<sup id="cite_ref-119" class="reference"><a href="#cite_note-119"><span class="cite-bracket">&#91;</span>119<span class="cite-bracket">&#93;</span></a></sup> As they sink they produce faeces which may mean that they have an important role to play in the Antarctic carbon cycle. Krill with empty stomachs were found to swim more actively and thus head towards the surface. This implies that vertical migration may be a bi- or tri-daily occurrence. Some species form surface swarms during the day for feeding and reproductive purposes even though such behaviour is dangerous because it makes them extremely vulnerable to predators.<sup id="cite_ref-howard_120-0" class="reference"><a href="#cite_note-howard-120"><span class="cite-bracket">&#91;</span>120<span class="cite-bracket">&#93;</span></a></sup> Dense swarms may elicit a <a href="/wiki/Feeding_frenzy" title="Feeding frenzy">feeding frenzy</a> among fish, birds and mammal predators, especially near the surface. When disturbed, a swarm scatters, and some individuals have even been observed to <a href="/wiki/Ecdysis" title="Ecdysis">moult</a> instantaneously, leaving the <a href="/wiki/Exuvia" class="mw-redirect" title="Exuvia">exuvia</a> behind as a decoy.<sup id="cite_ref-121" class="reference"><a href="#cite_note-121"><span class="cite-bracket">&#91;</span>121<span class="cite-bracket">&#93;</span></a></sup> In 2012, Gandomi and Alavi presented what appears to be a <a href="/wiki/Swarm_intelligence#Krill_herd_algorithm" title="Swarm intelligence">successful stochastic algorithm</a> for modelling the behaviour of krill swarms. The algorithm is based on three main factors: " (i) movement induced by the presence of other individuals (ii) foraging activity, and (iii) random diffusion."<sup id="cite_ref-kha2012_122-0" class="reference"><a href="#cite_note-kha2012-122"><span class="cite-bracket">&#91;</span>122<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Copepods">Copepods</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=30" title="Edit section: Copepods"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Copepodkils.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Copepodkils.jpg/220px-Copepodkils.jpg" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Copepodkils.jpg/330px-Copepodkils.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/Copepodkils.jpg/440px-Copepodkils.jpg 2x" data-file-width="2000" data-file-height="1500" /></a><figcaption>This copepod has its antenna spread (click to enlarge). The antenna detects the pressure wave of an approaching fish.</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Hunting_copepods" class="mw-redirect" title="Hunting copepods">Hunting copepods</a></div> <p><a href="/wiki/Copepod" title="Copepod">Copepods</a> are a group of tiny <a href="/wiki/Crustacean" title="Crustacean">crustaceans</a> found in the sea and lakes. Many species are <a href="/wiki/Plankton" title="Plankton">planktonic</a> (drifting in sea waters), and others are <a href="/wiki/Benthos" title="Benthos">benthic</a> (living on the ocean floor). Copepods are typically 1 to 2 millimetres (0.04 to 0.08&#160;in) long, with a teardrop shaped body and large <a href="/wiki/Antenna_(biology)" title="Antenna (biology)">antennae</a>. Although like other crustaceans they have an armoured <a href="/wiki/Exoskeleton" title="Exoskeleton">exoskeleton</a>, they are so small that in most species this thin armour, and the entire body, is almost totally transparent. Copepods have a compound, median single eye, usually bright red, in the centre of the transparent head. </p><p>Copepods also swarm. For example, monospecific swarms have been observed regularly around <a href="/wiki/Coral_reef" title="Coral reef">coral reefs</a> and <a href="/wiki/Sea_grass" class="mw-redirect" title="Sea grass">sea grass</a>, and in lakes. Swarms densities were about one million copepods per cubic metre. Typical swarms were one or two metres in diameter, but some exceeded 30 cubic metres. Copepods need visual contact to keep together, and they disperse at night.<sup id="cite_ref-123" class="reference"><a href="#cite_note-123"><span class="cite-bracket">&#91;</span>123<span class="cite-bracket">&#93;</span></a></sup> </p><p>Spring produces <a href="/wiki/Algal_bloom" title="Algal bloom">blooms</a> of swarming <a href="/wiki/Phytoplankton" title="Phytoplankton">phytoplankton</a> which provide food for copepods. Planktonic copepods are usually the dominant members of the <a href="/wiki/Zooplankton" title="Zooplankton">zooplankton</a>, and are in turn major food organisms for many other marine animals. In particular, copepods are prey to <a href="/wiki/Forage_fish" title="Forage fish">forage fish</a> and <a href="/wiki/Jellyfish" title="Jellyfish">jellyfish</a>, both of which can assemble in vast, million-strong swarms. Some copepods have extremely fast <a href="/wiki/Escape_response" title="Escape response">escape responses</a> when a predator is sensed and can jump with high speed over a few millimetres (see animated image below). </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Herringramkils.jpg" class="mw-file-description" title="Photo: School of herrings ram feeding on a swarm of copepods."><img alt="Photo: School of herrings ram feeding on a swarm of copepods." src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Herringramkils.jpg/120px-Herringramkils.jpg" decoding="async" width="120" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Herringramkils.jpg/180px-Herringramkils.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Herringramkils.jpg/240px-Herringramkils.jpg 2x" data-file-width="793" data-file-height="500" /></a></span></div> <div class="gallerytext">Photo: School of herrings <a href="/wiki/Ram_feeding" class="mw-redirect" title="Ram feeding">ram feeding</a> on a swarm of copepods.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Synchropredation.gif" class="mw-file-description" title="Animation showing how herrings hunting in a synchronised way can capture the very alert and evasive copepod (click to view)."><img alt="Animation showing how herrings hunting in a synchronised way can capture the very alert and evasive copepod (click to view)." src="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Synchropredation.gif/120px-Synchropredation.gif" decoding="async" width="120" height="75" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Synchropredation.gif/180px-Synchropredation.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/59/Synchropredation.gif/240px-Synchropredation.gif 2x" data-file-width="320" data-file-height="200" /></a></span></div> <div class="gallerytext">Animation showing how herrings hunting in a synchronised way can capture the very alert and evasive copepod (click to view).</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Jelly_cc4.jpg" class="mw-file-description" title="Swarms of jellyfish also prey on copepods"><img alt="Swarms of jellyfish also prey on copepods" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Jelly_cc4.jpg/120px-Jelly_cc4.jpg" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Jelly_cc4.jpg/180px-Jelly_cc4.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Jelly_cc4.jpg/240px-Jelly_cc4.jpg 2x" data-file-width="2048" data-file-height="1536" /></a></span></div> <div class="gallerytext">Swarms of <a href="/wiki/Jellyfish" title="Jellyfish">jellyfish</a> also prey on copepods</div> </li> </ul> <p>Planktonic copepods are important to the <a href="/wiki/Carbon_cycle" title="Carbon cycle">carbon cycle</a>. Some scientists say they form the largest animal <a href="/wiki/Biomass" title="Biomass">biomass</a> on earth.<sup id="cite_ref-124" class="reference"><a href="#cite_note-124"><span class="cite-bracket">&#91;</span>124<span class="cite-bracket">&#93;</span></a></sup> They compete for this title with <a href="/wiki/Antarctic_krill" title="Antarctic krill">Antarctic krill</a>. Because of their smaller size and relatively faster growth rates, however, and because they are more evenly distributed throughout more of the world's oceans, copepods almost certainly contribute far more to the <a href="/wiki/Secondary_productivity" class="mw-redirect" title="Secondary productivity">secondary productivity</a> of the world's oceans, and to the global ocean <a href="/wiki/Carbon_sink" title="Carbon sink">carbon sink</a> than <a href="/wiki/Krill" title="Krill">krill</a>, and perhaps more than all other groups of organisms together. The surface layers of the oceans are currently believed to be the world's largest carbon sink, absorbing about 2 billion tonnes of carbon a year, the equivalent to perhaps a third of <a href="/wiki/Greenhouse_gas" title="Greenhouse gas">human carbon emissions</a>, thus reducing their impact. Many planktonic copepods feed near the surface at night, then sink into deeper water during the day to avoid visual predators. Their moulted exoskeletons, faecal pellets and respiration at depth all bring carbon to the deep sea. </p> <div class="mw-heading mw-heading4"><h4 id="Algal_blooms">Algal blooms</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=31" title="Edit section: Algal blooms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Many single-celled organisms called <a href="/wiki/Phytoplankton" title="Phytoplankton">phytoplankton</a> live in oceans and lakes. When certain conditions are present, such as high nutrient or light levels, these organisms reproduce explosively. The resulting dense swarm of phytoplankton is called an <a href="/wiki/Algal_bloom" title="Algal bloom">algal bloom</a>. Blooms can cover hundreds of square kilometres and are easily seen in satellite images. Individual phytoplankton rarely live more than a few days, but blooms can last weeks.<sup id="cite_ref-125" class="reference"><a href="#cite_note-125"><span class="cite-bracket">&#91;</span>125<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-NOAA_HAB_126-0" class="reference"><a href="#cite_note-NOAA_HAB-126"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Plants">Plants</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=32" title="Edit section: Plants"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Scientists have attributed swarm behavior to plants for hundreds of years. In his 1800 book, <i>Phytologia: or, The philosophy of agriculture and gardening</i>, <a href="/wiki/Erasmus_Darwin" title="Erasmus Darwin">Erasmus Darwin</a> wrote that plant growth resembled swarms observed elsewhere in nature.<sup id="cite_ref-127" class="reference"><a href="#cite_note-127"><span class="cite-bracket">&#91;</span>127<span class="cite-bracket">&#93;</span></a></sup> While he was referring to more broad observations of plant morphology, and was focused on both root and shoot behavior, recent research has supported this claim. </p><p><a href="/wiki/Plant_root" class="mw-redirect" title="Plant root">Plant roots</a>, in particular, display observable swarm behavior, growing in patterns that exceed the statistical threshold for random probability, and indicate the presence of communication between individual <a href="/wiki/Root_apex_(botany)" class="mw-redirect" title="Root apex (botany)">root apexes</a>. The primary function of plant roots is the uptake of <a href="/wiki/Soil_nutrient" class="mw-redirect" title="Soil nutrient">soil nutrients</a>, and it is this purpose which drives swarm behavior. Plants growing in close proximity have adapted their growth to assure optimal nutrient availability. This is accomplished by growing in a direction that optimizes the distance between nearby roots, thereby increasing their chance of exploiting untapped nutrient reserves. The action of this behavior takes two forms: maximization of distance from, and repulsion by, neighboring root apexes.<sup id="cite_ref-128" class="reference"><a href="#cite_note-128"><span class="cite-bracket">&#91;</span>128<span class="cite-bracket">&#93;</span></a></sup> The transition zone of a root tip is largely responsible for monitoring for the presence of soil-borne hormones, signaling responsive growth patterns as appropriate. Plant responses are often complex, integrating multiple inputs to inform an autonomous response. Additional inputs that inform swarm growth includes light and gravity, both of which are also monitored in the transition zone of a root's apex.<sup id="cite_ref-129" class="reference"><a href="#cite_note-129"><span class="cite-bracket">&#91;</span>129<span class="cite-bracket">&#93;</span></a></sup> These forces act to inform any number of growing "main" roots, which exhibit their own independent releases of inhibitory chemicals to establish appropriate spacing, thereby contributing to a swarm behavior pattern. Horizontal growth of roots, whether in response to high mineral content in soil or due to <a href="/wiki/Stolon" title="Stolon">stolon</a> growth, produces branched growth that establish to also form their own, independent root swarms.<sup id="cite_ref-130" class="reference"><a href="#cite_note-130"><span class="cite-bracket">&#91;</span>130<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Bacteria">Bacteria</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=33" title="Edit section: Bacteria"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Swarming_motility" title="Swarming motility">Swarming motility</a> and <a href="/wiki/Microbial_intelligence" title="Microbial intelligence">Microbial intelligence</a></div> <p>Swarming also describes groupings of some kinds of <a href="/wiki/Bacteria#Predators" title="Bacteria">predatory bacteria</a> such as <a href="/wiki/Myxobacteria" title="Myxobacteria">myxobacteria</a>. Myxobacteria swarm together in "wolf packs", actively moving using a process known as <a href="/wiki/Bacterial_gliding" class="mw-redirect" title="Bacterial gliding">bacterial gliding</a> and keeping together with the help of intercellular molecular <a href="/wiki/Signal_transduction" title="Signal transduction">signals</a>.<sup id="cite_ref-Allison_C,_Hughes_C_1991_403–422_57-1" class="reference"><a href="#cite_note-Allison_C,_Hughes_C_1991_403–422-57"><span class="cite-bracket">&#91;</span>57<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Reichenbach_2001_131-0" class="reference"><a href="#cite_note-Reichenbach_2001-131"><span class="cite-bracket">&#91;</span>131<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Mammals">Mammals</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=34" title="Edit section: Mammals"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Herd" title="Herd">Herd</a>, <a href="/wiki/Herd_behaviour" class="mw-redirect" title="Herd behaviour">Herd behaviour</a>, and <a href="/wiki/Animal_migration" title="Animal migration">Animal migration</a></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Border_Collie_sheepdog_trial.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Border_Collie_sheepdog_trial.jpg/220px-Border_Collie_sheepdog_trial.jpg" decoding="async" width="220" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Border_Collie_sheepdog_trial.jpg/330px-Border_Collie_sheepdog_trial.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Border_Collie_sheepdog_trial.jpg/440px-Border_Collie_sheepdog_trial.jpg 2x" data-file-width="1733" data-file-height="756" /></a><figcaption><a href="/wiki/Herding_dog" title="Herding dog">Sheep dogs</a> (here a <a href="/wiki/Border_Collie" title="Border Collie">Border Collie</a>) control the <a href="/wiki/Sheep#Behavior_and_intelligence" title="Sheep">flocking behaviour of sheep</a>.</figcaption></figure> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:ThaiFledermaus.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/2/28/ThaiFledermaus.gif" decoding="async" width="180" height="144" class="mw-file-element" data-file-width="180" data-file-height="144" /></a><figcaption>Bats swarming out of a cave in Thailand</figcaption></figure> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFParrishEdelstein-Keshet1999" class="citation journal cs1">Parrish JK, Edelstein-Keshet L (1999). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110720060041/http://people.hnl.bcm.tmc.edu/jli/reference/105.pdf">"Complexity, pattern and evolutionary trade-offs in animal aggregation"</a> <span class="cs1-format">(PDF)</span>. <i>Science</i>. <b>284</b> (5411): 99–101. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1999Sci...284...99P">1999Sci...284...99P</a>. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.560.5229">10.1.1.560.5229</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1126%2Fscience.284.5411.99">10.1126/science.284.5411.99</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/10102827">10102827</a>. Archived from <a rel="nofollow" class="external text" href="http://people.hnl.bcm.tmc.edu/jli/reference/105.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 20 July 2011.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Science&amp;rft.atitle=Complexity%2C+pattern+and+evolutionary+trade-offs+in+animal+aggregation&amp;rft.volume=284&amp;rft.issue=5411&amp;rft.pages=99-101&amp;rft.date=1999&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.560.5229%23id-name%3DCiteSeerX&amp;rft_id=info%3Apmid%2F10102827&amp;rft_id=info%3Adoi%2F10.1126%2Fscience.284.5411.99&amp;rft_id=info%3Abibcode%2F1999Sci...284...99P&amp;rft.aulast=Parrish&amp;rft.aufirst=JK&amp;rft.au=Edelstein-Keshet%2C+L&amp;rft_id=http%3A%2F%2Fpeople.hnl.bcm.tmc.edu%2Fjli%2Freference%2F105.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="People">People</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=35" title="Edit section: People"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Police_protect_Nick_Altrock_from_adoring_crowd,_1906_World_Series.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/23/Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg/220px-Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg" decoding="async" width="220" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/23/Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg/330px-Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/23/Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg/440px-Police_protect_Nick_Altrock_from_adoring_crowd%2C_1906_World_Series.jpg 2x" data-file-width="800" data-file-height="636" /></a><figcaption>Police protect <a href="/wiki/Nick_Altrock" title="Nick Altrock">Nick Altrock</a> from an adoring crowd during <a href="/wiki/Baseball" title="Baseball">baseball</a>'s <a href="/wiki/1906_World_Series" title="1906 World Series">1906 World Series</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 228px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External images</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="http://hal.elte.hu/~vicsek/MW.html">Mexican wave simulation</a><sup id="cite_ref-132" class="reference"><a href="#cite_note-132"><span class="cite-bracket">&#91;</span>132<span class="cite-bracket">&#93;</span></a></sup></td></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="image icon" src="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/16px-Searchtool.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/24px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/61/Searchtool.svg/32px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a rel="nofollow" class="external text" href="http://hal.elte.hu/~vicsek/RA.html">Rhythmic applause simulation</a><sup id="cite_ref-133" class="reference"><a href="#cite_note-133"><span class="cite-bracket">&#91;</span>133<span class="cite-bracket">&#93;</span></a></sup></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Crowd" title="Crowd">Crowd</a> and <a href="/wiki/Crowd_simulation" title="Crowd simulation">Crowd simulation</a></div> <p>A collection of people can also exhibit swarm behaviour, such as pedestrians<sup id="cite_ref-134" class="reference"><a href="#cite_note-134"><span class="cite-bracket">&#91;</span>134<span class="cite-bracket">&#93;</span></a></sup> or soldiers swarming the parapets<sup class="noprint Inline-Template" style="white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Accuracy_dispute#Disputed_statement" title="Wikipedia:Accuracy dispute"><span title="The material near this tag is possibly inaccurate or nonfactual. (May 2019)">dubious</span></a>&#32;&#8211; <a href="/wiki/Talk:Swarm_behaviour#Dubious" title="Talk:Swarm behaviour">discuss</a></i>&#93;</sup>. In Cologne, Germany, two biologists from the University of Leeds demonstrated flock like behaviour in humans. The group of people exhibited similar behavioural pattern to a flock, where if five percent of the flock changed direction the others would follow. If one person was designated as a predator and everyone else was to avoid him, the flock behaved very much like a school of fish.<sup id="cite_ref-135" class="reference"><a href="#cite_note-135"><span class="cite-bracket">&#91;</span>135<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-136" class="reference"><a href="#cite_note-136"><span class="cite-bracket">&#91;</span>136<span class="cite-bracket">&#93;</span></a></sup> Understanding how humans interact in crowds is important if crowd management is to effectively avoid casualties at football grounds, music concerts and subway stations.<sup id="cite_ref-137" class="reference"><a href="#cite_note-137"><span class="cite-bracket">&#91;</span>137<span class="cite-bracket">&#93;</span></a></sup> </p><p>The mathematical modelling of <a href="/wiki/Flocking_behaviour" class="mw-redirect" title="Flocking behaviour">flocking behaviour</a> is a common technology, and has found uses in animation. Flocking simulations have been used in many films<sup id="cite_ref-138" class="reference"><a href="#cite_note-138"><span class="cite-bracket">&#91;</span>138<span class="cite-bracket">&#93;</span></a></sup> to <a href="/wiki/Crowd_simulation" title="Crowd simulation">generate crowds</a> which move realistically. Tim Burton's <i><a href="/wiki/Batman_Returns" title="Batman Returns">Batman Returns</a></i> was the first movie to make use of swarm technology for rendering, realistically depicting the movements of a group of bats using the <a href="/wiki/Boids" title="Boids">boids</a> system. <a href="/wiki/The_Lord_of_the_Rings_(film_series)" title="The Lord of the Rings (film series)"><i>The Lord of the Rings</i> film trilogy</a> made use of similar technology, known as <a href="/wiki/Massive_(software)" class="mw-redirect" title="Massive (software)">Massive</a>, during battle scenes. Swarm technology is particularly attractive because it is cheap, robust, and simple. </p><p>An ant-based computer simulation using only six interaction rules has also been used to evaluate aircraft boarding behaviour.<sup id="cite_ref-139" class="reference"><a href="#cite_note-139"><span class="cite-bracket">&#91;</span>139<span class="cite-bracket">&#93;</span></a></sup> Airlines have also used ant-based routing in assigning aircraft arrivals to airport gates. An airline system developed by <a href="/wiki/Douglas_A._Lawson" title="Douglas A. Lawson">Douglas A. Lawson</a> uses swarm theory, or <a href="/wiki/Swarm_intelligence" title="Swarm intelligence">swarm intelligence</a>—the idea that a colony of ants works better than one alone. Each pilot acts like an ant searching for the best airport gate. "The pilot learns from his experience what's the best for him, and it turns out that that's the best solution for the airline," Lawson explains. As a result, the "colony" of pilots always go to gates they can arrive and depart quickly. The program can even alert a pilot of plane back-ups before they happen. "We can anticipate that it's going to happen, so we'll have a gate available," says Lawson.<sup id="cite_ref-140" class="reference"><a href="#cite_note-140"><span class="cite-bracket">&#91;</span>140<span class="cite-bracket">&#93;</span></a></sup> </p><p>Swarm behaviour occurs also in <a href="/wiki/Traffic_flow" title="Traffic flow">traffic flow</a> dynamics, such as the <a href="/wiki/Traffic_wave" title="Traffic wave">traffic wave</a>. <a href="/wiki/Bidirectional_traffic" title="Bidirectional traffic">Bidirectional traffic</a> can be observed in <a href="/wiki/Ant" title="Ant">ant</a> trails.<sup id="cite_ref-Burd_2003_141-0" class="reference"><a href="#cite_note-Burd_2003-141"><span class="cite-bracket">&#91;</span>141<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Ribeiro_2009_142-0" class="reference"><a href="#cite_note-Ribeiro_2009-142"><span class="cite-bracket">&#91;</span>142<span class="cite-bracket">&#93;</span></a></sup> In recent years this behaviour has been researched for insight into pedestrian and traffic models.<sup id="cite_ref-John_2008_143-0" class="reference"><a href="#cite_note-John_2008-143"><span class="cite-bracket">&#91;</span>143<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-144" class="reference"><a href="#cite_note-144"><span class="cite-bracket">&#91;</span>144<span class="cite-bracket">&#93;</span></a></sup> Simulations based on pedestrian models have also been applied to crowds which stampede because of panic.<sup id="cite_ref-145" class="reference"><a href="#cite_note-145"><span class="cite-bracket">&#91;</span>145<span class="cite-bracket">&#93;</span></a></sup> </p><p><a href="/wiki/Herd_behaviour" class="mw-redirect" title="Herd behaviour">Herd behaviour</a> in <a href="/wiki/Marketing" title="Marketing">marketing</a> has been used to explain the dependencies of customers' mutual behaviour. <i><a href="/wiki/The_Economist" title="The Economist">The Economist</a></i> reported a recent conference in <a href="/wiki/Rome" title="Rome">Rome</a> on the subject of the simulation of adaptive human behaviour.<sup id="cite_ref-146" class="reference"><a href="#cite_note-146"><span class="cite-bracket">&#91;</span>146<span class="cite-bracket">&#93;</span></a></sup> It shared mechanisms to increase impulse buying and get people "to buy more by playing on the herd instinct." The basic idea is that people will buy more of products that are seen to be popular, and several feedback mechanisms to get product popularity information to consumers are mentioned, including <a href="/wiki/Smart_card" title="Smart card">smart card</a> technology and the use of <a href="/wiki/RFID" class="mw-redirect" title="RFID">Radio Frequency Identification Tag</a> technology. A "swarm-moves" model was introduced by a <a href="/wiki/Florida_Institute_of_Technology" title="Florida Institute of Technology">Florida Institute of Technology</a> researcher, which is appealing to supermarkets because it can "increase sales without the need to give people discounts." </p> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHelbingKeltschMolnar1997" class="citation journal cs1">Helbing D, Keltsch J, Molnar P (1997). "Modelling the evolution of human trail systems". <i>Nature</i>. <b>388</b> (6637): 47–50. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/cond-mat/9805158">cond-mat/9805158</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1997Natur.388...47H">1997Natur.388...47H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F40353">10.1038/40353</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/9214501">9214501</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:4364517">4364517</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Nature&amp;rft.atitle=Modelling+the+evolution+of+human+trail+systems&amp;rft.volume=388&amp;rft.issue=6637&amp;rft.pages=47-50&amp;rft.date=1997&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A4364517%23id-name%3DS2CID&amp;rft_id=info%3Abibcode%2F1997Natur.388...47H&amp;rft_id=info%3Aarxiv%2Fcond-mat%2F9805158&amp;rft_id=info%3Apmid%2F9214501&amp;rft_id=info%3Adoi%2F10.1038%2F40353&amp;rft.aulast=Helbing&amp;rft.aufirst=D&amp;rft.au=Keltsch%2C+J&amp;rft.au=Molnar%2C+P&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHelbingFarkasVicsek2000" class="citation journal cs1">Helbing D, Farkas I, Vicsek T (2000). "Simulating dynamical features of escape panic". <i>Nature</i>. <b>407</b> (6803): 487–490. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/cond-mat/0009448">cond-mat/0009448</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2000Natur.407..487H">2000Natur.407..487H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F35035023">10.1038/35035023</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/11028994">11028994</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:310346">310346</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Nature&amp;rft.atitle=Simulating+dynamical+features+of+escape+panic&amp;rft.volume=407&amp;rft.issue=6803&amp;rft.pages=487-490&amp;rft.date=2000&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A310346%23id-name%3DS2CID&amp;rft_id=info%3Abibcode%2F2000Natur.407..487H&amp;rft_id=info%3Aarxiv%2Fcond-mat%2F0009448&amp;rft_id=info%3Apmid%2F11028994&amp;rft_id=info%3Adoi%2F10.1038%2F35035023&amp;rft.aulast=Helbing&amp;rft.aufirst=D&amp;rft.au=Farkas%2C+I&amp;rft.au=Vicsek%2C+T&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHelbingFarkasVicsek2000" class="citation journal cs1">Helbing D, Farkas IJ, Vicsek T (2000). "Freezing by heating in a driven mesoscopic system". <i>Physical Review Letters</i>. <b>84</b> (6): 1240–1243. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/cond-mat/9904326">cond-mat/9904326</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2000PhRvL..84.1240H">2000PhRvL..84.1240H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1103%2FPhysRevLett.84.1240">10.1103/PhysRevLett.84.1240</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/11017488">11017488</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:18649078">18649078</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Physical+Review+Letters&amp;rft.atitle=Freezing+by+heating+in+a+driven+mesoscopic+system&amp;rft.volume=84&amp;rft.issue=6&amp;rft.pages=1240-1243&amp;rft.date=2000&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A18649078%23id-name%3DS2CID&amp;rft_id=info%3Abibcode%2F2000PhRvL..84.1240H&amp;rft_id=info%3Aarxiv%2Fcond-mat%2F9904326&amp;rft_id=info%3Apmid%2F11017488&amp;rft_id=info%3Adoi%2F10.1103%2FPhysRevLett.84.1240&amp;rft.aulast=Helbing&amp;rft.aufirst=D&amp;rft.au=Farkas%2C+IJ&amp;rft.au=Vicsek%2C+T&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Robotics">Robotics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=36" title="Edit section: Robotics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Swarm_robotics" title="Swarm robotics">Swarm robotics</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Ant_robotics" title="Ant robotics">Ant robotics</a> and <a href="/wiki/Robotic_materials" title="Robotic materials">Robotic materials</a></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Kilobot_robot_swarm.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/Kilobot_robot_swarm.JPG/220px-Kilobot_robot_swarm.JPG" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/Kilobot_robot_swarm.JPG/330px-Kilobot_robot_swarm.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d9/Kilobot_robot_swarm.JPG/440px-Kilobot_robot_swarm.JPG 2x" data-file-width="5184" data-file-height="3456" /></a><figcaption><a href="/wiki/Kilobot" title="Kilobot">Kilobot</a> thousand-robot swarm developed by <a href="/wiki/Radhika_Nagpal" title="Radhika Nagpal">Radhika Nagpal</a> and Michael Rubenstein at <a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a>.</figcaption></figure> <p>The application of swarm principles to <a href="/wiki/Robot" title="Robot">robots</a> is called <a href="/wiki/Swarm_robotics" title="Swarm robotics">swarm robotics</a>, while swarm intelligence refers to the more general set of algorithms. </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width: 228px; clear: right; float:right;margin:0 0 1.5em 1.5em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:115%">External videos</th></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="video icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/16px-Nuvola_apps_kaboodle.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/24px-Nuvola_apps_kaboodle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/32px-Nuvola_apps_kaboodle.svg.png 2x" data-file-width="128" data-file-height="128" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=YQIMGV5vtd4">A Swarm of Nano Quadrotors</a> – <i>YouTube</i><sup id="cite_ref-Kushleyev2013_147-0" class="reference"><a href="#cite_note-Kushleyev2013-147"><span class="cite-bracket">&#91;</span>147<span class="cite-bracket">&#93;</span></a></sup></td></tr><tr><td colspan="2" class="infobox-full-data" style="text-align: left"><span typeof="mw:File"><span><img alt="video icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/16px-Nuvola_apps_kaboodle.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/24px-Nuvola_apps_kaboodle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Nuvola_apps_kaboodle.svg/32px-Nuvola_apps_kaboodle.svg.png 2x" data-file-width="128" data-file-height="128" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=2TjdGuBK9mI&amp;ab_channel=naturevideo">March of the microscopic robots</a> Nature Video, <i>YouTube</i></td></tr></tbody></table> <p>Partially inspired by <a href="/wiki/Colony_(biology)" title="Colony (biology)">colonies of insects</a> such as ants and bees, researchers are modelling the behaviour of <a href="/wiki/Swarm_robotics" title="Swarm robotics">swarms</a> of thousands of tiny robots which together perform a useful task, such as finding something hidden, cleaning, or spying. Each robot is quite simple, but the <a href="/wiki/Emergent_behaviour" class="mw-redirect" title="Emergent behaviour">emergent behaviour</a> of the swarm is more complex.<sup id="cite_ref-Bouffanais_1-1" class="reference"><a href="#cite_note-Bouffanais-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> The whole set of robots can be considered as one single distributed system, in the same way an ant colony can be considered a <a href="/wiki/Superorganism" title="Superorganism">superorganism</a>, exhibiting <a href="/wiki/Swarm_intelligence" title="Swarm intelligence">swarm intelligence</a>. The largest swarms so far created is the 1024 robot Kilobot swarm.<sup id="cite_ref-148" class="reference"><a href="#cite_note-148"><span class="cite-bracket">&#91;</span>148<span class="cite-bracket">&#93;</span></a></sup> Other large swarms include the <a href="/wiki/IRobot" title="IRobot">iRobot</a> swarm, the <a href="/wiki/SRI_International" title="SRI International">SRI International</a>/ActivMedia Robotics <a href="/wiki/Centibots" title="Centibots">Centibots</a> project,<sup id="cite_ref-149" class="reference"><a href="#cite_note-149"><span class="cite-bracket">&#91;</span>149<span class="cite-bracket">&#93;</span></a></sup> and the Open-source Micro-robotic Project swarm, which are being used to research collective behaviours.<sup id="cite_ref-150" class="reference"><a href="#cite_note-150"><span class="cite-bracket">&#91;</span>150<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-151" class="reference"><a href="#cite_note-151"><span class="cite-bracket">&#91;</span>151<span class="cite-bracket">&#93;</span></a></sup> Swarms are also more resistant to failure. Whereas one large robot may fail and ruin a mission, a swarm can continue even if several robots fail. This could make them attractive for space exploration missions, where failure is normally extremely costly.<sup id="cite_ref-152" class="reference"><a href="#cite_note-152"><span class="cite-bracket">&#91;</span>152<span class="cite-bracket">&#93;</span></a></sup> In addition to ground vehicles, swarm robotics includes also research of swarms of <a href="/wiki/Aerial_robot" class="mw-redirect" title="Aerial robot">aerial robots</a><sup id="cite_ref-Kushleyev2013_147-1" class="reference"><a href="#cite_note-Kushleyev2013-147"><span class="cite-bracket">&#91;</span>147<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-153" class="reference"><a href="#cite_note-153"><span class="cite-bracket">&#91;</span>153<span class="cite-bracket">&#93;</span></a></sup> and heterogeneous teams of ground and aerial vehicles.<sup id="cite_ref-154" class="reference"><a href="#cite_note-154"><span class="cite-bracket">&#91;</span>154<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-155" class="reference"><a href="#cite_note-155"><span class="cite-bracket">&#91;</span>155<span class="cite-bracket">&#93;</span></a></sup> </p><p>In contrast macroscopic robots, colloidal particles at microscale can also be adopted as agents to perform collective behaviors to conduct tasks using mechanical and physical approaches, such as reconfigurable tornado-like microswarm<sup id="cite_ref-156" class="reference"><a href="#cite_note-156"><span class="cite-bracket">&#91;</span>156<span class="cite-bracket">&#93;</span></a></sup> mimicking schooling fish,<sup id="cite_ref-157" class="reference"><a href="#cite_note-157"><span class="cite-bracket">&#91;</span>157<span class="cite-bracket">&#93;</span></a></sup> hierarchical particle species<sup id="cite_ref-158" class="reference"><a href="#cite_note-158"><span class="cite-bracket">&#91;</span>158<span class="cite-bracket">&#93;</span></a></sup> mimicking predating behavior of mammals, micro-object manipulation using a transformable microswarm.<sup id="cite_ref-159" class="reference"><a href="#cite_note-159"><span class="cite-bracket">&#91;</span>159<span class="cite-bracket">&#93;</span></a></sup> The fabrication of such colloidal particles is usually based on chemical synthesis. </p> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="Military">Military</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=37" title="Edit section: Military"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:SWARM-vs-guerilla.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/SWARM-vs-guerilla.png/300px-SWARM-vs-guerilla.png" decoding="async" width="300" height="203" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/SWARM-vs-guerilla.png/450px-SWARM-vs-guerilla.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/10/SWARM-vs-guerilla.png/600px-SWARM-vs-guerilla.png 2x" data-file-width="1227" data-file-height="830" /></a><figcaption>Contrast between guerrilla ambush and true swarming (Edwards-2003)</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Swarming_(military)" title="Swarming (military)">Swarming (military)</a></div> <p><a href="/wiki/Swarming_(military)" title="Swarming (military)">Military swarming</a> is a behaviour where autonomous or partially autonomous units of action attack an enemy from several different directions and then regroup. <i>Pulsing</i>, where the units shift the point of attack, is also a part of military swarming. Military swarming involves the use of a decentralized force against an opponent, in a manner that emphasizes mobility, communication, unit autonomy and coordination or synchronization.<sup id="cite_ref-Edwards-2000_160-0" class="reference"><a href="#cite_note-Edwards-2000-160"><span class="cite-bracket">&#91;</span>160<span class="cite-bracket">&#93;</span></a></sup> Historically military forces used principles of swarming without really examining them explicitly, but now active research consciously examines military doctrines that draw ideas from swarming. </p><p>Merely because multiple units converge on a target, they are not necessarily swarming. Siege operations do not involve swarming, because there is no manoeuvre; there is convergence but on the besieged fortification. Nor do <a href="/wiki/Guerrilla_warfare" title="Guerrilla warfare">guerrilla ambushes</a> constitute swarms, because they are "hit-and-run". Even though the ambush may have several points of attack on the enemy, the guerillas withdraw when they either have inflicted adequate damage, or when they are endangered. </p><p>In 2014 the U. S. <a href="/wiki/Office_of_Naval_Research" title="Office of Naval Research">Office of Naval Research</a> released a video showing tests of a swarm of small autonomous drone attack boats that can steer and take coordinated offensive action as a group.<sup id="cite_ref-161" class="reference"><a href="#cite_note-161"><span class="cite-bracket">&#91;</span>161<span class="cite-bracket">&#93;</span></a></sup> </p> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="Gallery">Gallery</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=38" title="Edit section: Gallery"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Heringsschwarm.gif" class="mw-file-description" title="A swarm of migrating herrings"><img alt="A swarm of migrating herrings" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Heringsschwarm.gif/120px-Heringsschwarm.gif" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Heringsschwarm.gif/180px-Heringsschwarm.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Heringsschwarm.gif/240px-Heringsschwarm.gif 2x" data-file-width="320" data-file-height="240" /></a></span></div> <div class="gallerytext">A swarm of migrating <a href="/wiki/Herring" title="Herring">herrings</a></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Bienenschwarm_17c.jpg" class="mw-file-description" title="A swarm of bees"><img alt="A swarm of bees" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Bienenschwarm_17c.jpg/120px-Bienenschwarm_17c.jpg" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Bienenschwarm_17c.jpg/180px-Bienenschwarm_17c.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Bienenschwarm_17c.jpg/240px-Bienenschwarm_17c.jpg 2x" data-file-width="2468" data-file-height="1851" /></a></span></div> <div class="gallerytext">A swarm of bees</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Salp.jpg" class="mw-file-description" title="Salps arranged in chains form huge swarms.[162]"><img alt="Salps arranged in chains form huge swarms.[162]" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Salp.jpg/120px-Salp.jpg" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Salp.jpg/180px-Salp.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Salp.jpg/240px-Salp.jpg 2x" data-file-width="3072" data-file-height="2304" /></a></span></div> <div class="gallerytext"><a href="/wiki/Salp" title="Salp">Salps</a> arranged in chains form huge swarms.<sup id="cite_ref-162" class="reference"><a href="#cite_note-162"><span class="cite-bracket">&#91;</span>162<span class="cite-bracket">&#93;</span></a></sup></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Crowd_04378.JPG" class="mw-file-description" title="People swarming through an exit do not always behave like a fluid.[163][164]"><img alt="People swarming through an exit do not always behave like a fluid.[163][164]" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Crowd_04378.JPG/120px-Crowd_04378.JPG" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Crowd_04378.JPG/180px-Crowd_04378.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/54/Crowd_04378.JPG/240px-Crowd_04378.JPG 2x" data-file-width="2048" data-file-height="1536" /></a></span></div> <div class="gallerytext">People swarming through an exit do not always behave like a fluid.<sup id="cite_ref-163" class="reference"><a href="#cite_note-163"><span class="cite-bracket">&#91;</span>163<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-164" class="reference"><a href="#cite_note-164"><span class="cite-bracket">&#91;</span>164<span class="cite-bracket">&#93;</span></a></sup></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Marieh%C3%B8nse%C3%A5r.jpg" class="mw-file-description" title="A swarm of ladybirds"><img alt="A swarm of ladybirds" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Marieh%C3%B8nse%C3%A5r.jpg/120px-Marieh%C3%B8nse%C3%A5r.jpg" decoding="async" width="120" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Marieh%C3%B8nse%C3%A5r.jpg/180px-Marieh%C3%B8nse%C3%A5r.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Marieh%C3%B8nse%C3%A5r.jpg/240px-Marieh%C3%B8nse%C3%A5r.jpg 2x" data-file-width="1600" data-file-height="1200" /></a></span></div> <div class="gallerytext">A swarm of <a href="/wiki/Ladybird" class="mw-redirect" title="Ladybird">ladybirds</a></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Robot-army.png" class="mw-file-description" title="A swarm of robots"><img alt="A swarm of robots" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Robot-army.png/120px-Robot-army.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Robot-army.png/180px-Robot-army.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Robot-army.png/240px-Robot-army.png 2x" data-file-width="473" data-file-height="473" /></a></span></div> <div class="gallerytext">A swarm of robots</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:MexicaliEarthquakeSwarm.gif" class="mw-file-description" title="A swarm of earthquakes"><img alt="A swarm of earthquakes" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/MexicaliEarthquakeSwarm.gif/120px-MexicaliEarthquakeSwarm.gif" decoding="async" width="120" height="118" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/MexicaliEarthquakeSwarm.gif/180px-MexicaliEarthquakeSwarm.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/MexicaliEarthquakeSwarm.gif/240px-MexicaliEarthquakeSwarm.gif 2x" data-file-width="543" data-file-height="532" /></a></span></div> <div class="gallerytext">A <a href="/wiki/Earthquake_swarm" title="Earthquake swarm">swarm of earthquakes</a></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg" class="mw-file-description" title="A swarm of ancient stars"><img alt="A swarm of ancient stars" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg/114px-A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg" decoding="async" width="114" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg/172px-A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6a/A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg/229px-A_Swarm_of_Ancient_Stars_-_GPN-2000-000930.jpg 2x" data-file-width="1777" data-file-height="1864" /></a></span></div> <div class="gallerytext">A swarm of ancient stars</div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Myths">Myths</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=39" title="Edit section: Myths"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>There is a popular myth that <a href="/wiki/Lemming" title="Lemming">lemmings</a> commit <a href="/wiki/Mass_suicide" title="Mass suicide">mass suicide</a> by swarming off cliffs when they migrate. Driven by strong biological urges, some species of lemmings may migrate in large groups when population density becomes too great. Lemmings can swim and may choose to cross a body of water in search of a new habitat. In such cases, many may drown if the body of water is so wide as to stretch their physical capability to the limit. This fact combined with some unexplained fluctuations in the population of Norwegian lemmings gave rise to the myth.<sup id="cite_ref-165" class="reference"><a href="#cite_note-165"><span class="cite-bracket">&#91;</span>165<span class="cite-bracket">&#93;</span></a></sup></li> <li><a href="/wiki/Piranha" title="Piranha">Piranha</a> have a reputation as fearless fish that swarm in ferocious and predatory packs. However, recent research, which started "with the premise that they school as a means of cooperative hunting", discovered that they were in fact rather fearful fish, like other fish, who schooled for protection from their predators, such as cormorants, caimans and dolphins. A researcher described them as "basically like regular fish with large teeth".<sup id="cite_ref-166" class="reference"><a href="#cite_note-166"><span class="cite-bracket">&#91;</span>166<span class="cite-bracket">&#93;</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=40" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Active_matter" title="Active matter">Active matter</a>&#160;– Matter behavior at system scale</li> <li><a href="/wiki/Dyson_swarm" class="mw-redirect" title="Dyson swarm">Dyson swarm</a>&#160;– Hypothetical megastructure around a star<span style="display:none" class="category-annotation-with-redirected-description">Pages displaying short descriptions of redirect targets</span></li> <li><a href="/wiki/List_of_collective_nouns_in_English" class="mw-redirect" title="List of collective nouns in English">List of collective nouns in English</a></li> <li><a href="/wiki/Mobile_Bay_jubilee" title="Mobile Bay jubilee">Mobile Bay jubilee</a>&#160;– Natural phenomenon that occurs in Mobile Bay, Alabama, United States</li> <li><a href="/wiki/Population_cycle" title="Population cycle">Population cycle</a>&#160;– the repeated increase and decrease of a species' population over time<span style="display:none" class="category-wikidata-fallback-annotation">Pages displaying wikidata descriptions as a fallback</span></li> <li><a href="/wiki/Swarm_(simulation)" title="Swarm (simulation)">Swarm (simulation)</a>&#160;– open-source agent-based simulation toolkit<span style="display:none" class="category-wikidata-fallback-annotation">Pages displaying wikidata descriptions as a fallback</span></li> <li><a href="/wiki/Swirlonic_state" class="mw-redirect" title="Swirlonic state">Swirlonic state</a> – recently (2020) recognised new state of self propelled particles</li> <li><a href="/wiki/Traffic_wave" title="Traffic wave">Traffic wave</a>&#160;– Type of highway congestion</li> <li><a href="/wiki/Swarmalators" title="Swarmalators">Swarmalators</a> - Agents that do swarming and <a href="/wiki/Synchronization" title="Synchronization">synchronization</a> simultaneously.</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=41" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-Bouffanais-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-Bouffanais_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Bouffanais_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBouffanais2016" class="citation book cs1">Bouffanais, Roland (2016). <i>Design and Control of Swarm Dynamics</i>. 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(September 2014). <a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4173114">"Information transfer and behavioural inertia in starling flocks"</a>. <i>Nature Physics</i>. <b>10</b> (9): 691–696. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1303.7097">1303.7097</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2014NatPh..10..691A">2014NatPh..10..691A</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2Fnphys3035">10.1038/nphys3035</a>. <a href="/wiki/PMC_(identifier)" class="mw-redirect" title="PMC (identifier)">PMC</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4173114">4173114</a></span>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/25264452">25264452</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Nature+Physics&amp;rft.atitle=Information+transfer+and+behavioural+inertia+in+starling+flocks.&amp;rft.volume=10&amp;rft.issue=9&amp;rft.pages=691-696&amp;rft.date=2014-09&amp;rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC4173114%23id-name%3DPMC&amp;rft_id=info%3Abibcode%2F2014NatPh..10..691A&amp;rft_id=info%3Aarxiv%2F1303.7097&amp;rft_id=info%3Apmid%2F25264452&amp;rft_id=info%3Adoi%2F10.1038%2Fnphys3035&amp;rft.aulast=Attanasi&amp;rft.aufirst=A.&amp;rft.au=Cavagna%2C+A.&amp;rft.au=Del+Castello%2C+L.&amp;rft.au=Giardina%2C+I.&amp;rft.au=Grigera%2C+T.+S.&amp;rft.au=Jeli%C4%87%2C+A.&amp;rft.au=Melillo%2C+S.&amp;rft.au=Parisi%2C+L.&amp;rft.au=Pohl%2C+O.&amp;rft.au=Shen%2C+E.&amp;rft.au=Viale%2C+M.&amp;rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC4173114&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></span> </li> <li id="cite_note-Reynolds-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-Reynolds_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Reynolds_4-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Reynolds_4-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFReynolds_CW1987" class="citation book cs1">Reynolds CW (1987). 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Rand Corporation. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-8330-2779-5" title="Special:BookSources/978-0-8330-2779-5"><bdi>978-0-8330-2779-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Swarming+on+the+Battlefield%3A+Past%2C+Present%2C+and+Future&amp;rft.series=Rand+Monograph+MR-1100&amp;rft.pub=Rand+Corporation&amp;rft.date=2000&amp;rft.isbn=978-0-8330-2779-5&amp;rft.au=Edwards%2C+Sean+J.A.&amp;rft_id=https%3A%2F%2Fwww.rand.org%2Fpubs%2Fmonograph_reports%2FMR1100&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></span> </li> <li id="cite_note-161"><span class="mw-cite-backlink"><b><a href="#cite_ref-161">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.cnn.com/2014/10/06/tech/innovation/navy-swarm-boats/">U.S. Navy could 'swarm' foes with robot boats</a>, <i>CNN</i>, 13 October 2014.</span> </li> <li id="cite_note-162"><span class="mw-cite-backlink"><b><a href="#cite_ref-162">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.divediscover.whoi.edu/expedition10/index.html">"Dive and Discover: Scientific Expedition 10: Antarctica"</a><span class="reference-accessdate">. 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Basic Books. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-465-01884-0" title="Special:BookSources/978-0-465-01884-0">978-0-465-01884-0</a></span> </li> <li id="cite_note-165"><span class="mw-cite-backlink"><b><a href="#cite_ref-165">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWoodford" class="citation web cs1">Woodford, Riley. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100103112042/http://www.wildlifenews.alaska.gov/index.cfm?adfg=wildlife_news.view_article&amp;articles_id=56&amp;issue_id=6">"Lemming Suicide Myth Disney Film Faked Bogus Behavior"</a>. Archived from the original on 3 January 2010.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Lemming+Suicide+Myth+Disney+Film+Faked+Bogus+Behavior&amp;rft.aulast=Woodford&amp;rft.aufirst=Riley&amp;rft_id=http%3A%2F%2Fwww.wildlifenews.alaska.gov%2Findex.cfm%3Fadfg%3Dwildlife_news.view_article%26articles_id%3D56%26issue_id%3D6&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_web" title="Template:Cite web">cite web</a>}}</code>: CS1 maint: unfit URL (<a href="/wiki/Category:CS1_maint:_unfit_URL" title="Category:CS1 maint: unfit URL">link</a>)</span></span> </li> <li id="cite_note-166"><span class="mw-cite-backlink"><b><a href="#cite_ref-166">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.nytimes.com/2005/05/24/science/24obse.html?_r=1">Red-Bellied Piranha Is Really Yellow</a> <i>New York Times</i>, 24 May 2005.</span> </li> </ol></div></div> <div class="mw-heading mw-heading3"><h3 id="Sources">Sources</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=42" title="Edit section: Sources"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Blum C and Merkle D (2008) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=zMgyNN6Ufj0C&amp;q=intitle:Self-Organization+intitle:in+intitle:Biological+intitle:Systems"><i>Swarm intelligence: introduction and applications</i></a> Springer. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-3-540-74088-9" title="Special:BookSources/978-3-540-74088-9">978-3-540-74088-9</a>.</li> <li>Camazine S, Deneubourg JL, <a href="/wiki/Nigel_R._Franks" title="Nigel R. Franks">Franks NR</a>, Sneyd J, Theraulaz G and Bonabeau E (2003) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=zMgyNN6Ufj0C&amp;q=intitle:Self-Organization+intitle:in+intitle:Biological+intitle:Systems"><i>Self-Organization in Biological Systems</i></a> Princeton University Press. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-691-11624-2" title="Special:BookSources/978-0-691-11624-2">978-0-691-11624-2</a>.</li> <li>Fisher L (2009) <a rel="nofollow" class="external text" href="https://archive.org/details/perfectswarmscie0000fish"><i>The perfect swarm: the science of complexity in everyday life</i></a> Basic Books. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-465-01884-0" title="Special:BookSources/978-0-465-01884-0">978-0-465-01884-0</a>.</li> <li>Kennedy JF, Kennedy J, Eberhart RC and Shi Y (2001) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=vOx-QV3sRQsC&amp;q=swarm"><i>Swarm intelligence</i></a> Morgan Kaufmann. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-55860-595-4" title="Special:BookSources/978-1-55860-595-4">978-1-55860-595-4</a>.</li> <li>Krause, J (2005) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=yafjBAOkM4QC&amp;q=intitle:Living+intitle:in+intitle:groups"><i>Living in Groups</i></a> Oxford University Press. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-19-850818-2" title="Special:BookSources/978-0-19-850818-2">978-0-19-850818-2</a></li> <li>Lim CP, Jain LC and Dehuri S (2009) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=CrkFO1I72_UC&amp;q=swarm"><i>Innovations in Swarm Intelligence</i></a> Springer. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-3-642-04224-9" title="Special:BookSources/978-3-642-04224-9">978-3-642-04224-9</a>.</li> <li>Miller, Peter (2010) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=sZQkkVPmSyAC&amp;dq=%22The+Smart+Swarm:+How+understanding+flocks,+schools,+and+colonies+can+make+us+better+at+communicating,+decision+making,+and+getting+things+done%22&amp;pg=PT3"><i>The Smart Swarm: How understanding flocks, schools, and colonies can make us better at communicating, decision making, and getting things done</i></a> Penguin, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-58333-390-7" title="Special:BookSources/978-1-58333-390-7">978-1-58333-390-7</a></li> <li>Nedjah N and Mourelle LdM (2006) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=WFo9ojpx42sC&amp;q=swarm"><i>Swarm intelligent systems</i></a> Springer. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-3-540-33868-0" title="Special:BookSources/978-3-540-33868-0">978-3-540-33868-0</a>.</li> <li>Sumpter, David JT (2010) <a rel="nofollow" class="external text" href="https://books.google.com/books?id=7rVDY8pd2MsC&amp;q=%22feeding+frenzy%22+locust"><i>Collective Animal Behavior</i></a> Princeton University Press. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-691-14843-4" title="Special:BookSources/978-0-691-14843-4">978-0-691-14843-4</a>.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFVicsekZafeiris2012" class="citation journal cs1">Vicsek A, Zafeiris A (2012). "Collective motion". <i>Physics Reports</i>. <b>517</b> (3–4): 71–140. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1010.5017">1010.5017</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2012PhR...517...71V">2012PhR...517...71V</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.physrep.2012.03.004">10.1016/j.physrep.2012.03.004</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:119109873">119109873</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Physics+Reports&amp;rft.atitle=Collective+motion&amp;rft.volume=517&amp;rft.issue=3%E2%80%934&amp;rft.pages=71-140&amp;rft.date=2012&amp;rft_id=info%3Aarxiv%2F1010.5017&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A119109873%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1016%2Fj.physrep.2012.03.004&amp;rft_id=info%3Abibcode%2F2012PhR...517...71V&amp;rft.aulast=Vicsek&amp;rft.aufirst=A&amp;rft.au=Zafeiris%2C+A&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASwarm+behaviour" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Swarm_behaviour&amp;action=edit&amp;section=43" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.nytimes.com/2007/11/13/science/13traff.html?ei=5087&amp;em=&amp;en=2770422853e9f63e&amp;ex=1195102800&amp;pagewanted=print">New York Times article on investigations into swarming</a></li> <li>From the <i><a href="/wiki/Wolfram_Demonstrations_Project" title="Wolfram Demonstrations Project">Wolfram Demonstrations Project</a></i> – requires <a rel="nofollow" class="external text" href="https://demonstrations.wolfram.com/download-cdf-player.html">CDF player (free)</a>: <ul><li><a rel="nofollow" class="external text" href="https://demonstrations.wolfram.com/ModelOfAFireflySwarm/">Model of a Firefly Swarm</a>.</li> <li><a rel="nofollow" class="external text" href="https://demonstrations.wolfram.com/GarbageCollectionByAnts/">Garbage Collection by Ants</a></li> <li><a rel="nofollow" class="external text" href="https://demonstrations.wolfram.com/MergingSchoolsOfFish/">Beverton and Merging Schools of Fish</a></li> <li><a rel="nofollow" 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href="#Biological_swarming">Biological swarming</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agent-based_model_in_biology" title="Agent-based model in biology">Agent-based model in biology</a></li> <li><a href="/wiki/Collective_animal_behavior" title="Collective animal behavior">Collective animal behavior</a></li> <li><a href="/wiki/Droving" title="Droving">Droving</a></li> <li><a href="/wiki/Flock_(birds)" title="Flock (birds)">Flock</a> <ul><li><a href="/wiki/Flocking_(behavior)" class="mw-redirect" title="Flocking (behavior)">flocking</a></li> <li><a href="/wiki/Sort_sol" title="Sort sol">sort sol</a></li></ul></li> <li><a href="/wiki/Herd" title="Herd">Herd</a> <ul><li><a href="/wiki/Herd_behavior" title="Herd behavior">herd behavior</a></li></ul></li> <li><a href="/wiki/Locust" title="Locust">Locust</a></li> <li><a href="/wiki/Mixed-species_foraging_flock" title="Mixed-species foraging flock">Mixed-species foraging flock</a></li> <li><a href="/wiki/Mobbing_(animal_behavior)" title="Mobbing (animal behavior)">Mobbing behavior</a> <ul><li><a href="/wiki/Feeding_frenzy" title="Feeding frenzy">feeding frenzy</a></li></ul></li> <li><a href="/wiki/Pack_(canine)" title="Pack (canine)">Pack</a> <ul><li><a href="/wiki/Pack_hunter" title="Pack hunter">pack hunter</a></li></ul></li> <li><a href="/wiki/Patterns_of_self-organization_in_ants" title="Patterns of self-organization in ants">Patterns of self-organization in ants</a> <ul><li><a href="/wiki/Ant_mill" title="Ant mill">ant mill</a></li> <li><a href="/wiki/Symmetry_breaking_of_escaping_ants" title="Symmetry breaking of escaping ants">symmetry breaking of escaping ants</a></li></ul></li> <li><a href="/wiki/Shoaling_and_schooling" title="Shoaling and schooling">Shoaling and schooling</a> <ul><li><a href="/wiki/Bait_ball" title="Bait ball">bait ball</a></li></ul></li> <li><a class="mw-selflink selflink">Swarming behaviour</a></li> <li><a href="/wiki/Swarming_(honey_bee)" title="Swarming (honey bee)">Swarming (honey bee)</a></li> <li><a href="/wiki/Swarming_motility" title="Swarming motility">Swarming motility</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="6" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:Auklet_flock_Shumagins_1986.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/140px-Auklet_flock_Shumagins_1986.jpg" decoding="async" width="140" height="95" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/210px-Auklet_flock_Shumagins_1986.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Auklet_flock_Shumagins_1986.jpg/280px-Auklet_flock_Shumagins_1986.jpg 2x" data-file-width="3756" data-file-height="2561" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Animal_migration" title="Animal migration">Animal migration</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Animal_migration" title="Animal migration">Animal migration</a> <ul><li><a href="/wiki/Altitudinal_migration" title="Altitudinal migration">altitudinal</a></li> <li><a href="/wiki/Animal_migration_tracking" title="Animal migration tracking">tracking</a> <ul><li><a href="/wiki/History_of_wildlife_tracking_technology" title="History of wildlife tracking technology">history</a></li></ul></li> <li><a href="/wiki/Coded_wire_tag" title="Coded wire tag">coded wire tag</a></li></ul></li> <li><a href="/wiki/Bird_migration" title="Bird migration">Bird migration</a> <ul><li><a href="/wiki/Category:Bird_migration_flyways" title="Category:Bird migration flyways">flyways</a></li> <li><a href="/wiki/Reverse_migration_(birds)" title="Reverse migration (birds)">reverse migration</a></li></ul></li> <li><a href="/wiki/Cell_migration" title="Cell migration">Cell migration</a></li> <li><a href="/wiki/Fish_migration" title="Fish migration">Fish migration</a> <ul><li><a href="/wiki/Diel_vertical_migration" title="Diel vertical migration">diel vertical</a></li> <li><a href="/wiki/Lessepsian_migration" title="Lessepsian migration">Lessepsian</a></li> <li><a href="/wiki/Salmon_run" title="Salmon run">salmon run</a></li> <li><a href="/wiki/Sardine_run" title="Sardine run">sardine run</a></li></ul></li> <li><a href="/wiki/Homing_(biology)" title="Homing (biology)">Homing</a> <ul><li><a href="/wiki/Natal_homing" title="Natal homing">natal</a></li> <li><a href="/wiki/Philopatry" title="Philopatry">philopatry</a></li></ul></li> <li><a href="/wiki/Insect_migration" title="Insect migration">Insect migration</a> <ul><li><a href="/wiki/Lepidoptera_migration" title="Lepidoptera migration">butterflies</a> <ul><li><a href="/wiki/Monarch_butterfly_migration" title="Monarch butterfly migration">monarch</a></li></ul></li></ul></li> <li><a href="/wiki/Sea_turtle_migration" title="Sea turtle migration">Sea turtle migration</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a class="mw-selflink-fragment" href="#Models">Swarm algorithms</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agent-based_model" title="Agent-based model">Agent-based models</a></li> <li><a href="/wiki/Ant_colony_optimization_algorithm" class="mw-redirect" title="Ant colony optimization algorithm">Ant colony optimization</a></li> <li><a href="/wiki/Boids" title="Boids">Boids</a></li> <li><a href="/wiki/Crowd_simulation" title="Crowd simulation">Crowd simulation</a></li> <li><a href="/wiki/Particle_swarm_optimization" title="Particle swarm optimization">Particle swarm optimization</a></li> <li><a href="/wiki/Swarm_intelligence" title="Swarm intelligence">Swarm intelligence</a></li> <li><a href="/wiki/Swarm_(simulation)" title="Swarm (simulation)">Swarm (simulation)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Collective_motion" title="Collective motion">Collective motion</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Active_matter" title="Active matter">Active matter</a></li> <li><a href="/wiki/Collective_motion" title="Collective motion">Collective motion</a></li> <li><a href="/wiki/Self-propelled_particles" title="Self-propelled particles">Self-propelled particles</a> <ul><li><a href="/wiki/Clustering_of_self-propelled_particles" title="Clustering of self-propelled particles">clustering</a></li></ul></li> <li><a href="/wiki/Vicsek_model" title="Vicsek model">Vicsek model</a></li> <li><a href="/wiki/BIO-LGCA" title="BIO-LGCA">BIO-LGCA</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Swarm_robotics" title="Swarm robotics">Swarm robotics</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ant_robotics" title="Ant robotics">Ant robotics</a></li> <li><a href="/wiki/Microbotics" title="Microbotics">Microbotics</a></li> <li><a href="/wiki/Nanorobotics" title="Nanorobotics">Nanorobotics</a></li> <li><a href="/wiki/Swarm_robotics" title="Swarm robotics">Swarm robotics</a></li> <li><a href="/wiki/Symbrion" title="Symbrion">Symbrion</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Allee_effect" title="Allee effect">Allee effect</a></li> <li><a href="/wiki/Animal_navigation" title="Animal navigation">Animal navigation</a></li> <li><a href="/wiki/Collective_intelligence" title="Collective intelligence">Collective intelligence</a></li> <li><a href="/wiki/Decentralised_system" title="Decentralised system">Decentralised system</a></li> <li><a href="/wiki/Eusociality" title="Eusociality">Eusociality</a></li> <li><a href="/wiki/Group_size_measures" title="Group size measures">Group size measures</a></li> <li><a href="/wiki/Microbial_intelligence" title="Microbial intelligence">Microbial intelligence</a></li> <li><a href="/wiki/Mutualism_(biology)" title="Mutualism (biology)">Mutualism</a></li> <li><a href="/wiki/Predator_satiation" title="Predator satiation">Predator satiation</a></li> <li><a href="/wiki/Quorum_sensing" title="Quorum sensing">Quorum sensing</a></li> <li><a href="/wiki/Spatial_organization" title="Spatial organization">Spatial organization</a></li> <li><a href="/wiki/Stigmergy" title="Stigmergy">Stigmergy</a></li> <li><a href="/wiki/Swarming_(military)" title="Swarming (military)">Military swarming</a></li> <li><a href="/wiki/Task_allocation_and_partitioning_of_social_insects" class="mw-redirect" title="Task allocation and partitioning of social insects">Task allocation and partitioning of social insects</a></li></ul> </div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐7fc47fc68d‐rvszl Cached time: 20241128195619 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 2.039 seconds Real time usage: 2.303 seconds Preprocessor visited node count: 18047/1000000 Post‐expand include size: 399945/2097152 bytes Template argument size: 11526/2097152 bytes Highest expansion depth: 16/100 Expensive parser function count: 53/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 622178/5000000 bytes Lua time usage: 1.283/10.000 seconds Lua memory usage: 22156678/52428800 bytes 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