{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T19:24:32Z","timestamp":1777490672102,"version":"3.51.4"},"reference-count":80,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p>Advances in technology have produced more and more intricate industrial systems, such as nuclear power plants, chemical centers and petroleum platforms. Such complex plants exhibit multiple interactions among smaller units and human operators, rising potentially disastrous failure, which can propagate across subsystem boundaries. This paper analyzes industrial accident data-series in the perspective of statistical physics and dynamical systems. Global data is collected from the Emergency Events Database (EM-DAT) during the time period from year 1903 up to 2012. The statistical distributions of the number of fatalities caused by industrial accidents reveal Power Law (PL) behavior. We analyze the evolution of the PL parameters over time and observe a remarkable increment in the PL exponent during the last years. PL behavior allows prediction by extrapolation over a wide range of scales. In a complementary line of thought, we compare the data using appropriate indices and use different visualization techniques to correlate and to extract relationships among industrial accident events. This study contributes to better understand the complexity of modern industrial accidents and their ruling principles.<\/jats:p>","DOI":"10.1142\/s0218127415500042","type":"journal-article","created":{"date-parts":[[2015,2,2]],"date-time":"2015-02-02T10:03:54Z","timestamp":1422871434000},"page":"1550004","source":"Crossref","is-referenced-by-count":6,"title":["Power Law Behavior and Self-Similarity in Modern Industrial Accidents"],"prefix":"10.1142","volume":"25","author":[{"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"first","affiliation":[{"name":"Institute of Mechanical Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"given":"J. A.","family":"Tenreiro Machado","sequence":"additional","affiliation":[{"name":"Institute of Engineering, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 431, 4200-072 Porto, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2015,2,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48155-9_27"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1126\/science.287.5461.2115a"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.200327197"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.2307\/2281537"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2004-00130-1"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1126\/science.284.5411.107"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.59.381"},{"key":"rf9","first-page":"772","volume":"383","author":"Bak P.","year":"1996","journal-title":"Nature"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/8180"},{"key":"rf11","volume-title":"Dynamics of Complex Systems","volume":"213","author":"Bar-Yam Y.","year":"1997"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(02)00736-7"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1177\/1073858406293182"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/319\/1\/012004"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.4662"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1038\/nature08631"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.2001.0993"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1177\/0022002706296157"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1137\/070710111"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.108501"},{"key":"rf21","volume-title":"Elements of Information Theory","author":"Cover T. M.","year":"2012"},{"key":"rf22","doi-asserted-by":"crossref","DOI":"10.1201\/9781420036121","volume-title":"Multidimensional Scaling","author":"Cox T. F.","year":"2000"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2009-01086-6"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1093\/cje\/bei083"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1093\/cje\/bes057"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-821X(01)00589-1"},{"key":"rf27","volume-title":"Information and Self-Organization: A Macroscopic Approach to Complex Systems","author":"Haken","year":"2006"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-28611-X_15"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04390-5"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.5194\/nhess-4-309-2004"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2009.03.028"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1126\/science.280.5360.95"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-5388-7"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511622717"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198526650.001.0001"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/103\/26001"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.058101"},{"key":"rf40","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/81\/69001"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.046106"},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.045102"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2009.05.018"},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2009.05.003"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-0312-z"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2013.02.003"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1038\/nmat2340"},{"key":"rf48","doi-asserted-by":"crossref","first-page":"635","DOI":"10.2478\/s13540-011-0037-1","volume":"14","author":"Machado J. T.","year":"2011","journal-title":"Fract. Cal. Appl. Anal."},{"key":"rf49","doi-asserted-by":"publisher","DOI":"10.3390\/e15093892"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(00)00386-1"},{"key":"rf51","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2009.05.005"},{"key":"rf52","doi-asserted-by":"publisher","DOI":"10.1080\/14697680500151343"},{"key":"rf53","doi-asserted-by":"publisher","DOI":"10.1126\/science.156.3775.636"},{"key":"rf54","volume-title":"The Fractal Geometry of Nature","author":"Mandelbrot B. B.","year":"1982"},{"key":"rf55","volume-title":"An Introduction to Econophysics","author":"Mategna R.","year":"2000"},{"key":"rf56","doi-asserted-by":"publisher","DOI":"10.5539\/res.v4n1p85"},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms1731"},{"key":"rf58","doi-asserted-by":"publisher","DOI":"10.1080\/00107510500052444"},{"key":"rf59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.181102"},{"key":"rf60","doi-asserted-by":"publisher","DOI":"10.1109\/24.126680"},{"key":"rf61","doi-asserted-by":"publisher","DOI":"10.5194\/npg-20-1071-2013"},{"key":"rf62","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsl.2013.03.035"},{"key":"rf63","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.01.013"},{"key":"rf64","doi-asserted-by":"publisher","DOI":"10.1126\/science.284.5411.105"},{"key":"rf66","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(98)00550-0"},{"key":"rf67","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.4877"},{"key":"rf68","volume-title":"Fractional Integrals and Derivatives","author":"Samko S. G.","year":"1993"},{"key":"rf69","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(00)00255-7"},{"key":"rf70","doi-asserted-by":"publisher","DOI":"10.1007\/s11067-005-6208-z"},{"key":"rf71","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.036106"},{"key":"rf73","doi-asserted-by":"publisher","DOI":"10.1029\/2002GL015043"},{"key":"rf74","doi-asserted-by":"publisher","DOI":"10.1785\/gssrl.80.4.551"},{"key":"rf75","doi-asserted-by":"publisher","DOI":"10.1038\/35065725"},{"key":"rf76","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.09.041"},{"key":"rf77","doi-asserted-by":"crossref","first-page":"120518","DOI":"10.1155\/2012\/120518","author":"Tenreiro Machado J.","year":"2012","journal-title":"Discr. Dyn. Nat. Soc."},{"key":"rf78","doi-asserted-by":"publisher","DOI":"10.1016\/S0074-6142(02)80217-0"},{"key":"rf79","doi-asserted-by":"publisher","DOI":"10.2307\/1912557"},{"key":"rf80","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183112500751"},{"key":"rf81","first-page":"12","volume":"1","author":"West B. J.","year":"2010","journal-title":"Front. Physiol."},{"key":"rf82","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.056104"},{"key":"rf83","doi-asserted-by":"publisher","DOI":"10.1023\/A:1014054010001"},{"key":"rf84","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.238103"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415500042","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,18]],"date-time":"2025-05-18T04:06:55Z","timestamp":1747541215000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415500042"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":80,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2015,2,2]]},"published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1142\/S0218127415500042"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415500042","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}