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We show that even rare long-range jumps can transform the spread of simple epidemics from wave-like to a very fast type of \u201cmetastatic\u201d growth. More generally, our approach can be used to describe how new evolutionary variants spread and thus improves our predictive understanding of the speed of Darwinian adaptation.<\/jats:p>","DOI":"10.1073\/pnas.1404663111","type":"journal-article","created":{"date-parts":[[2014,11,4]],"date-time":"2014-11-04T03:14:46Z","timestamp":1415070886000},"update-policy":"https:\/\/doi.org\/10.1073\/pnas.cm10313","source":"Crossref","is-referenced-by-count":120,"title":["Acceleration of evolutionary spread by long-range dispersal"],"prefix":"10.1073","volume":"111","author":[{"given":"Oskar","family":"Hallatschek","sequence":"first","affiliation":[{"name":"Biophysics and Evolutionary Dynamics Group, Departments of Physics and Integrative Biology, University of California, Berkeley, CA 94720; and"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniel S.","family":"Fisher","sequence":"additional","affiliation":[{"name":"Departments of Applied Physics, Bioengineering, and Biology, Stanford University, Stanford, CA 94305"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"341","published-online":{"date-parts":[[2014,11,3]]},"reference":[{"key":"e_1_3_3_1_2","doi-asserted-by":"publisher","DOI":"10.1038\/35040695"},{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.98.3.1095"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature04292"},{"key":"e_1_3_3_4_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature06958"},{"key":"e_1_3_3_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2011.2120618"},{"key":"e_1_3_3_6_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1245200"},{"key":"e_1_3_3_7_2","doi-asserted-by":"publisher","DOI":"10.1086\/286162"},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9658(1999)080[1475:SDNAFP]2.0.CO;2"},{"key":"e_1_3_3_9_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1072678"},{"key":"e_1_3_3_10_2","doi-asserted-by":"publisher","DOI":"10.1046\/j.1461-0248.2003.00545.x"},{"key":"e_1_3_3_11_2","doi-asserted-by":"publisher","DOI":"10.1029\/2004GL020328"},{"key":"e_1_3_3_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0079-6611(03)00085-5"},{"key":"e_1_3_3_13_2","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.ecolsys.34.011802.132428"},{"key":"e_1_3_3_14_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1124975"},{"key":"e_1_3_3_15_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.144501"},{"key":"e_1_3_3_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tree.2011.08.009"},{"key":"e_1_3_3_17_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-1809.1937.tb02153.x"},{"key":"e_1_3_3_18_2","first-page":"1","article-title":"Study of the diffusion equation with growth of the quantity of matter and its application to a biological problem","volume":"1","author":"Kolmogorov A","year":"1937","unstructured":"A Kolmogorov, I Petrovsky, N Piskunov, Study of the diffusion equation with growth of the quantity of matter and its application to a biological problem. 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