{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,31]],"date-time":"2026-10-31T15:22:55Z","timestamp":1793460175459,"version":"4.5.0"},"reference-count":37,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Svenska Forskningsr\u00e5det Formas (Swedish Research Council for Sustainable Development","award":["2021-02380-3 and 2021-02388-8"],"award-info":[{"award-number":["2021-02380-3 and 2021-02388-8"]}]},{"DOI":"10.13039\/100019183","name":"Interreg","doi-asserted-by":"publisher","award":["Grand No. 41-2-16-23"],"award-info":[{"award-number":["Grand No. 41-2-16-23"]}],"id":[{"id":"10.13039\/100019183","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Societal Risk Research, Karlstad University"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>Urban road networks are highly sensitive to flooding, yet the systemic consequences of inundation on their structural and functional organization remain insufficiently understood. This study introduces a scale-independent analytical framework that integrates complex network measures such as degree, closeness, and betweenness centrality with community-structure analysis to quantify how flooding transforms network connectivity, accessibility, and mesoscale cohesion. This study assesses the impact of river flooding on the urban road network under two scenarios: a 100-year return period flood and the maximum probable scenario (BHF- Ber\u00e4knat H\u00f6gsta Fl\u00f6de), which corresponds to an estimated extreme event with an approximate return period of 10,000 years. Our analysis shows that inundation under the two flood scenarios can generate non-linear and disproportionate impacts on connectivity, accessibility, and overall network cohesion. Specifically, our method: (a) localizes critically isolated nodes exposed to high risk; (b) identifies structural changes, showing that the flooded network is divided into three main large subnetworks with specific epicenters, along with 263 smaller subnetworks in the 100-year case and 553 in the BHF case; (c) estimates that network inefficiency, interpreted as analogous to mean travel time to a destination, increases by 120% and 170% for the 100-year and BHF scenarios, respectively; and (d) localizes critical roads that may serve as potential corridors during evacuation planning. These results offer actionable insights for disaster risk reduction, including planning for neighborhood-scale isolation, identifying vulnerable corridors, and designing redundant and decentralized emergency access routes. The framework is transferable to other urban areas where flood maps and road network data are available, supporting risk-informed spatial planning and strengthened civil protection.<\/jats:p>","DOI":"10.1371\/journal.pone.0354204","type":"journal-article","created":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T17:36:33Z","timestamp":1788284193000},"page":"e0354204","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":1,"title":["Non-linear failure patterns in urban road networks exposed to flooding"],"prefix":"10.1371","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5329-4733","authenticated-orcid":true,"given":"Konstantinos","family":"Karagiorgos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9743-8636","authenticated-orcid":true,"given":"Nikos 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f\u00f6r samh\u00e4llsskydd och beredskap","year":"2011"},{"key":"pone.0354204.ref015","unstructured":"Lantm\u00e4teriet. GSD-Road Map. https:\/\/www.lantmateriet.se\/en\/maps-and-geographic-information\/geodata\/transport-and-infrastructure\/road-map\/ 2021."},{"key":"pone.0354204.ref016","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.ijdrr.2016.04.003","article-title":"Safety criteria for the trafficability of inundated roads in urban floodings","volume":"17","author":"M Kramer","year":"2016","journal-title":"International Journal of Disaster Risk Reduction"},{"issue":"3","key":"pone.0354204.ref017","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1038\/nrn2575","article-title":"Complex brain networks: graph theoretical analysis of structural and functional systems","volume":"10","author":"E Bullmore","year":"2009","journal-title":"Nat Rev Neurosci"},{"issue":"1","key":"pone.0354204.ref018","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1186\/1753-4631-1-3","article-title":"Graph theoretical analysis of complex networks in the brain","volume":"1","author":"CJ Stam","year":"2007","journal-title":"Nonlinear Biomed Phys"},{"issue":"23","key":"pone.0354204.ref019","doi-asserted-by":"crossref","first-page":"8577","DOI":"10.1073\/pnas.0601602103","article-title":"Modularity and community structure in networks","volume":"103","author":"MEJ Newman","year":"2006","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"6684","key":"pone.0354204.ref020","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1038\/30918","article-title":"Collective dynamics of \u201csmall-world\u201d networks","volume":"393","author":"DJ Watts","year":"1998","journal-title":"Nature"},{"issue":"1","key":"pone.0354204.ref021","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1162\/NETN_a_00002","article-title":"The modular organization of human anatomical brain networks: Accounting for the cost of wiring","volume":"1","author":"RF Betzel","year":"2017","journal-title":"Netw Neurosci"},{"key":"pone.0354204.ref022","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.jtbi.2012.12.012","article-title":"Network modularity promotes cooperation","volume":"324","author":"M Marcoux","year":"2013","journal-title":"J Theor Biol"},{"key":"pone.0354204.ref023","volume-title":"Network science","author":"AL Barab\u00e1si","year":"2016"},{"key":"pone.0354204.ref024","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780199206650.001.0001","volume-title":"Networks: An Introduction","author":"MEJ Newman","year":"2010"},{"issue":"11","key":"pone.0354204.ref025","doi-asserted-by":"crossref","first-page":"118703","DOI":"10.1103\/PhysRevLett.100.118703","article-title":"Community structure in directed networks","volume":"100","author":"EA Leicht","year":"2008","journal-title":"Phys Rev Lett"},{"key":"pone.0354204.ref026","doi-asserted-by":"crossref","first-page":"103332","DOI":"10.1016\/j.trd.2022.103332","article-title":"Will river floods \u2018tip\u2019 European road networks? 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