{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T13:19:51Z","timestamp":1788268791368,"version":"build-2803163510"},"reference-count":18,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T00:00:00Z","timestamp":1630540800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51108297"],"award-info":[{"award-number":["51108297"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010229","name":"Natural Science Foundation of Tianjin Municipal Science and Technology Commission","doi-asserted-by":"publisher","award":["2018KJ168"],"award-info":[{"award-number":["2018KJ168"]}],"id":[{"id":"10.13039\/501100010229","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010229","name":"Natural Science Foundation of Tianjin Municipal Science and Technology Commission","doi-asserted-by":"publisher","award":["2020KJ043"],"award-info":[{"award-number":["2020KJ043"]}],"id":[{"id":"10.13039\/501100010229","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:p>A high-density crowd state is prone to cause large-scale crowd stampede accidents that seriously threaten the people\u2019s security and property. The key to preventing crowd congestion is to accurately predict the location and time of crowd events, particularly when there is a high density of people. In this paper, the entropy theory is used to characterize the state of a crowded system. The theoretical entropy <jats:italic>S<\/jats:italic><jats:sub><jats:italic>r<\/jats:italic><\/jats:sub> and the actual entropy <jats:italic>S<\/jats:italic> of the crowd system are obtained according to the area occupied by the different crowd state The maximum entropy value and the actual entropy value under different conditions of the system are compared to judge the state of crowded extent. The results show that the model is practical and effective. According to the situation of the crowd, different management and evacuation measures are considered to prevent the occurrence of crowd accidents.<\/jats:p>","DOI":"10.1371\/journal.pone.0255468","type":"journal-article","created":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T17:28:23Z","timestamp":1630603703000},"page":"e0255468","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":7,"title":["A high-density crowd state judgment model based on entropy theory"],"prefix":"10.1371","volume":"16","author":[{"given":"Guomin","family":"Zhao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cong","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guangji","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Falong","family":"He","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jing","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2021,9,2]]},"reference":[{"key":"pone.0255468.ref001","volume-title":"Pedestrian, crowd and evacuation dynamics","author":"Springer","year":"2011"},{"key":"pone.0255468.ref002","doi-asserted-by":"crossref","first-page":"046109","DOI":"10.1103\/PhysRevE.75.046109","article-title":"The Dynamics of Crowd Disasters: An Empirical Study","volume":"75","author":"D Helbing","year":"2007","journal-title":"Physical Review E"},{"key":"pone.0255468.ref003","first-page":"34","article-title":"Research on the density estimation method of scenic spot population based on image and video","volume":"44","author":"Ma qian","year":"2020","journal-title":"Information technology"},{"key":"pone.0255468.ref004","first-page":"171","article-title":"High-precision flow density monitoring method based on image processing","volume":"27","author":"Lu ni","year":"2019","journal-title":"Electronic design engineering"},{"key":"pone.0255468.ref005","first-page":"1557","article-title":"A review of crowd behavior recognition methods based on image processing","volume":"44","author":"Xuan Gao","year":"2016","journal-title":"Computer and digital engineering"},{"key":"pone.0255468.ref006","volume-title":"Engineering Thermodynamics","author":"Y-F Tan","year":"2016","edition":"6"},{"key":"pone.0255468.ref007","volume-title":"Information entropy: theory and application","author":"V.P. 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