{"id":8355,"date":"2019-05-22T16:06:49","date_gmt":"2019-05-22T16:06:49","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/logistic_growth_function\/"},"modified":"2019-05-22T16:06:49","modified_gmt":"2019-05-22T16:06:49","slug":"logistic_growth_function","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/logistic_growth_function\/","title":{"rendered":"Logistic growth function"},"content":{"rendered":"<p>A growth curve in which the rate of growth is proportional to the product of the size at the time and the amount of growth remaining. &nbsp;It has an S-shaped or sigmoid curve, indicating little growth, followed by a sudden spurt to an asymptote, and has been used to identify continuous accelerations in the development of particular behaviors. &nbsp;Known also as the Verhulst model after the mathematician <a href=\"http:\/\/www-history.mcs.st-and.ac.uk\/Mathematicians\/Verhulst.html\" class=\"cc-route-enabled\" target=\"_self\" data-editable-link=\"http:\/\/www-history.mcs.st-and.ac.uk\/Mathematicians\/Verhulst.html&amp;target=_self\" rel=\"noopener noreferrer\">Pierre F. Verhulst<\/a> (1804-1849) who introduced the model for the function in 1845. &nbsp;He used the model to predict the US population in 1940 using census data from 1790 to 1840 and was only off by less than 1%. &nbsp;However, the model did not predict the census results after 1940 for growth in the US population, probably due to the effects of the Second World War.&nbsp;<\/p>\n<p>See <a href=\"asymptote\">Asymptote<\/a>, <a href=\"exponential\">Exponential<\/a>, Growth-mixture model   <\/p>\n<p><\/p>\n<p><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A growth curve in which the rate of growth is proportional to the product of the size at the time and the amount of growth remaining. &nbsp;It has an S-shaped or sigmoid curve, indicating little growth, followed by a sudden spurt to an asymptote, and has been used to identify continuous accelerations in the development &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/logistic_growth_function\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Logistic growth function&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8355","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8355","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8355"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8355\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8355"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8355"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}