{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T11:35:42Z","timestamp":1777462542683,"version":"3.51.4"},"reference-count":41,"publisher":"Public Library of Science (PLoS)","issue":"3","license":[{"start":{"date-parts":[[2011,3,10]],"date-time":"2011-03-10T00:00:00Z","timestamp":1299715200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1002005","type":"journal-article","created":{"date-parts":[[2011,3,10]],"date-time":"2011-03-10T21:42:50Z","timestamp":1299793370000},"page":"e1002005","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":17,"title":["Noise Driven Evolutionary Waves"],"prefix":"10.1371","volume":"7","author":[{"given":"Oskar","family":"Hallatschek","sequence":"first","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2011,3,10]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"2318","DOI":"10.1093\/molbev\/msi242","article-title":"Selectionism and neutralism in molecular evolution.","volume":"22","author":"M Nei","year":"2005","journal-title":"Mol Biol Evol"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"8597","DOI":"10.1073\/pnas.0702207104","article-title":"The frailty of adaptive hypotheses for the origins of organismal complexity.","volume":"104","author":"M Lynch","year":"2007","journal-title":"Proc Natl Acad Sci Usa"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"965","DOI":"10.1038\/nrg2473","article-title":"Neutralism and selectionism: a network-based reconciliation.","volume":"9","author":"A Wagner","year":"2008","journal-title":"Nat Rev Genet"},{"key":"ref4","article-title":"Principles of population genetics.","author":"DL Hartl","year":"1997"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1093\/genetics\/49.4.561","article-title":"Stepping stone model of population structure and decrease of genetic correlation with distance.","volume":"49","author":"M Kimura","year":"1964","journal-title":"Genetics"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"e339","DOI":"10.1371\/journal.pbio.0030339","article-title":"The geographic spread of the ccr5 delta32 hiv-resistance allele.","volume":"3","author":"J Novembre","year":"2005","journal-title":"PLoS Biol"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1111\/j.1469-1809.1937.tb02153.x","article-title":"The wave of advance of advantageous genes.","volume":"7","author":"R Fisher","year":"1937","journal-title":"Ann Eugenics"},{"key":"ref8","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":"A Kolmogorov","year":"1937","journal-title":"Bull Univ Moscow, Ser Int, Sec A"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1137\/S0036144599364296","article-title":"Front propagation in heterogeneous media.","volume":"42","author":"J Xin","year":"2000","journal-title":"SIAM Review"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/S0378-4371(99)00328-3","article-title":"Formation of colony patterns by a bacterial cell population.","volume":"274","author":"M Matsushita","year":"1999","journal-title":"Physica A"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1038\/414716a","article-title":"Travelling waves and spatial hierarchies in measles epidemics.","volume":"414","author":"B Grenfell","year":"2001","journal-title":"Nature"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1038\/nature04292","article-title":"The scaling laws of human travel.","volume":"439","author":"D Brockmann","year":"2006","journal-title":"Nature"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"10324","DOI":"10.1073\/pnas.0703620104","article-title":"Propagating waves of self-assembly in organosilane monolayers.","volume":"104","author":"JF Douglas","year":"2007","journal-title":"Proc Natl Acad Sci USA"},{"key":"ref14","doi-asserted-by":"crossref","DOI":"10.1007\/b98868","article-title":"Mathematical Biology I.","author":"JD Murray","year":"2004"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"114005","DOI":"10.1103\/PhysRevD.73.114005","article-title":"Consequences of strong fluctuations on high-energy QCD evolution.","volume":"73","author":"C Marquet","year":"2006","journal-title":"Phys Rev D"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1111\/j.2517-6161.1977.tb01627.x","article-title":"Spatial contact models for ecological and epidemic spread.","volume":"39","author":"D Mollison","year":"1977","journal-title":"J Roy Stat Soc"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.physrep.2003.08.001","article-title":"Front propagation into unstable states.","volume":"386","author":"W van Saarloos","year":"2003","journal-title":"Phys Rep"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"4440","DOI":"10.1103\/PhysRevLett.76.4440","article-title":"Rna virus evolution via a fitness-space model.","volume":"76","author":"L Tsimring","year":"1996","journal-title":"Phys Rev Lett"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"2597","DOI":"10.1103\/PhysRevE.56.2597","article-title":"Shift in the velocity of a front due to a cutoff.","volume":"56","author":"E Brunet","year":"1997","journal-title":"Phys Rev E"},{"key":"ref20","article-title":"The noisy edge of traveling waves.","author":"O Hallatschek","year":"2011","journal-title":"Proc Natl Acad Sci USA"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1126\/science.1058079","article-title":"Cooperation and competition in the evolution of atp-producing pathways.","volume":"292","author":"T Pfeiffer","year":"2001","journal-title":"Science"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"2751","DOI":"10.1099\/mic.0.26829-0","article-title":"Biofilms promote altruism.","volume":"150","author":"JU Kreft","year":"2004","journal-title":"Microbiol"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1038\/sj.hdy.6801073","article-title":"The tragedy of the commons in microbial populations: insights from theoretical, comparative and experimental studies.","volume":"100","author":"R MacLean","year":"2008","journal-title":"Heredity"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1038\/nature04624","article-title":"Resource competition and social conflict in experimental populations of yeast.","volume":"441","author":"RC MacLean","year":"2006","journal-title":"Nature"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"976","DOI":"10.1111\/j.1742-4658.2007.05645.x","article-title":"Fermentative lifestyle in yeasts belonging to the Saccharomyces complex.","volume":"274","author":"A Merico","year":"2007","journal-title":"Febs Jl"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1002\/cpa.3160030302","article-title":"The partial differential equation <italic>u<sub>t<\/sub><\/italic>+<italic>uu<sub>x<\/sub><\/italic> = <italic>\u03bcu<sub>xx<\/sub><\/italic>.","volume":"3","author":"E Hopf","year":"1950","journal-title":"Commun Pur Appl Math"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1090\/qam\/42889","article-title":"On a quasi-linear parabolic equation occuring in aerodynamics.","volume":"9","author":"JD Cole","year":"1951","journal-title":"Q Appl Math"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/S0378-4371(03)00203-6","article-title":"Interacting particles, the stochastic Fisher\u2013Kolmogorov\u2013Petrovsky\u2013Piscounov equation, and duality.","volume":"325","author":"CR Doering","year":"2003","journal-title":"Physica A"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"108103","DOI":"10.1103\/PhysRevLett.103.108103","article-title":"Fisher waves in the strong noise limit.","volume":"103","author":"O Hallatschek","year":"2009","journal-title":"Phys Rev Lett"},{"key":"ref30","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139173179","article-title":"Evolutionary Games and Population Dynamics.","author":"J Hofbauer","year":"1998"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1126\/science.162.3859.1243","article-title":"The tragedy of the commons.","volume":"162","author":"G Hardin","year":"1968","journal-title":"Science"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1016\/j.jtbi.2007.04.008","article-title":"Evolution of cooperation in spatial public goods games with common resource dynamics.","volume":"247","author":"JY Wakano","year":"2007","journal-title":"J Theor Biol"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.mbs.2005.12.015","article-title":"A mathematical analysis on public goods games in the continuous space.","volume":"201","author":"JY Wakano","year":"2006","journal-title":"Math Biosci"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"2207","DOI":"10.1016\/j.nonrwa.2008.04.005","article-title":"A mathematical analysis for a model arising from public goods games.","volume":"10","author":"X Hou","year":"2009","journal-title":"Nonlin Anal"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-5193(64)90038-4","article-title":"The genetic evolution of social behavior.","volume":"7","author":"WD Hamilton","year":"1964","journal-title":"J Theo Biol"},{"key":"ref36","first-page":"115","article-title":"Population structure and processes in evolution. Population biology: ecological and evolutionary viewpoints.","author":"N Barton","year":"1990"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1093\/genetics\/16.2.97","article-title":"Evolution in mendelian populations.","volume":"16","author":"S Wright","year":"1931","journal-title":"Genetics"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"7910","DOI":"10.1073\/pnas.0812644106","article-title":"Spatial dynamics of ecological public goods.","volume":"106","author":"JY Wakano","year":"2009","journal-title":"Proc Natl Acad Sci USA"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1006\/tpbi.2001.1557","article-title":"Neutral evolution in spatially continuous populations.","volume":"61","author":"NH Barton","year":"2002","journal-title":"J Theo Popul Biol"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"1691","DOI":"10.1103\/RevModPhys.82.1691","article-title":"Genetic demixing and evolution in linear stepping stone models.","volume":"82","author":"K Korolev","year":"2010","journal-title":"Rev Mod Phys"},{"key":"ref41","article-title":"Stochastic processes in physics and chemistry.","author":"NG van Kampen","year":"2001"}],"container-title":["PLoS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1002005","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,4]],"date-time":"2025-03-04T01:55:34Z","timestamp":1741053334000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1002005"}},"subtitle":[],"editor":[{"given":"Claus O.","family":"Wilke","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2011,3,10]]},"references-count":41,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2011,3,10]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1002005","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,3,10]]}}}