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This study presents an agent-based model that simulates urban gentrification through the relocation of three income groups\u00a0\u2014 low, middle, and high\u00a0\u2014 driven by living costs. The model incorporates economic and sociological theories to generate realistic neighborhood transition patterns. We introduce a temporal network-based measure to track the outflow of low-income residents and the inflow of middle- and high-income residents over time. Our experiments reveal that high-income residents trigger gentrification and that our network-based measure consistently detects gentrification patterns earlier than traditional count-based methods, potentially serving as an early detection tool in real-world scenarios. Moreover, the analysis highlights how city density promotes gentrification. This framework offers valuable insights for understanding gentrification dynamics and informing urban planning and policy decisions. <\/jats:p>","DOI":"10.1142\/s0219525925400065","type":"journal-article","created":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T03:23:19Z","timestamp":1750389799000},"source":"Crossref","is-referenced-by-count":2,"title":["DYNAMIC MODELS OF GENTRIFICATION"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8067-984X","authenticated-orcid":false,"given":"GIOVANNI","family":"MAURO","sequence":"first","affiliation":[{"name":"ISTI-CNR, Pisa, Italy"},{"name":"Scuola Normale Superiore, Pisa, Italy"},{"name":"Department of Computer Science, University of Pisa, Pisa, Italy"},{"name":"IMT School for Advanced Studies, Lucca, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1582-6246","authenticated-orcid":false,"given":"NICOLA","family":"PEDRESCHI","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0583-4595","authenticated-orcid":false,"given":"RENAUD","family":"LAMBIOTTE","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1547-6007","authenticated-orcid":false,"given":"LUCA","family":"PAPPALARDO","sequence":"additional","affiliation":[{"name":"ISTI-CNR, Pisa, Italy"},{"name":"Scuola Normale Superiore, Pisa, Italy"}]}],"member":"219","published-online":{"date-parts":[[2025,7,28]]},"reference":[{"key":"S0219525925400065BIB001","doi-asserted-by":"publisher","DOI":"10.1038\/s41597-019-0089-3"},{"key":"S0219525925400065BIB002","doi-asserted-by":"publisher","DOI":"10.1080\/02723638.2014.940693"},{"key":"S0219525925400065BIB003","doi-asserted-by":"publisher","DOI":"10.1080\/02723638.2024.2325197"},{"key":"S0219525925400065BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2018.01.001"},{"key":"S0219525925400065BIB005","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0400087101"},{"key":"S0219525925400065BIB006","doi-asserted-by":"publisher","DOI":"10.1017\/9781316271377"},{"key":"S0219525925400065BIB007","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/9399.001.0001"},{"key":"S0219525925400065BIB009","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-020-69464-3"},{"key":"S0219525925400065BIB010","doi-asserted-by":"publisher","DOI":"10.1145\/3557915.3560977"},{"key":"S0219525925400065BIB011","doi-asserted-by":"publisher","DOI":"10.1080\/10511482.2018.1512512"},{"key":"S0219525925400065BIB012","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-023-38519-6"},{"key":"S0219525925400065BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-65351-4_15"},{"key":"S0219525925400065BIB014","first-page":"19","volume-title":"The Gentrification Debates","author":"Glass R.","year":"2013"},{"key":"S0219525925400065BIB015","doi-asserted-by":"publisher","DOI":"10.1093\/comnet\/cnz027"},{"key":"S0219525925400065BIB016","first-page":"331","volume-title":"A Companion to the City","author":"Hamnett C.","year":"2000"},{"key":"S0219525925400065BIB017","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2015-60657-4"},{"key":"S0219525925400065BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2012.03.001"},{"key":"S0219525925400065BIB019","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.2021.01819"},{"key":"S0219525925400065BIB020","volume-title":"The Death and Life of Great American Cities","author":"Jacobs J.","year":"1961"},{"key":"S0219525925400065BIB021","doi-asserted-by":"publisher","DOI":"10.1002\/psp.2851"},{"key":"S0219525925400065BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-61255-9_30"},{"key":"S0219525925400065BIB023","doi-asserted-by":"publisher","DOI":"10.1093\/comnet\/cnu016"},{"key":"S0219525925400065BIB024","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-08160-3"},{"key":"S0219525925400065BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/0094-1190(83)90046-3"},{"key":"S0219525925400065BIB026","doi-asserted-by":"publisher","DOI":"10.1080\/0042098032000136192"},{"key":"S0219525925400065BIB027","first-page":"136","volume":"43","author":"Lipton S. 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