{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T17:41:03Z","timestamp":1711388463926},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:p>Many processes and models \u2014 in biological, physical, social, and other contexts \u2014 produce trees whose depth scales logarithmically with the number of leaves. Phylogenetic trees, describing the evolutionary relationships between biological species, are examples of trees for which such scaling is not observed. With this goal, we analyze numerically two branching models leading to nonlogarithmic scaling of the depth with the number of leaves. For Ford's alpha model, although a power-law scaling of the depth with tree size was established analytically, our numerical results illustrate that the asymptotic regime is approached only at very large tree sizes. We introduce here a new model, the activity model, showing analytically and numerically that it also displays a power-law scaling of the depth with tree size at a critical parameter value.<\/jats:p>","DOI":"10.1142\/s0218127410026095","type":"journal-article","created":{"date-parts":[[2010,4,9]],"date-time":"2010-04-09T07:26:31Z","timestamp":1270797991000},"page":"805-811","source":"Crossref","is-referenced-by-count":7,"title":["SIMPLE MODELS FOR SCALING IN PHYLOGENETIC TREES"],"prefix":"10.1142","volume":"20","author":[{"given":"EMILIO","family":"HERN\u00c1NDEZ-GARC\u00cdA","sequence":"first","affiliation":[{"name":"IFISC (UIB-CSIC) Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MURAT","family":"TU\u011eRUL","sequence":"additional","affiliation":[{"name":"IFISC (UIB-CSIC) Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E.","family":"ALEJANDRO HERRADA","sequence":"additional","affiliation":[{"name":"IFISC (UIB-CSIC) Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V\u00cdCTOR M.","family":"EGU\u00cdLUZ","sequence":"additional","affiliation":[{"name":"IFISC (UIB-CSIC) Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KONSTANTIN","family":"KLEMM","sequence":"additional","affiliation":[{"name":"IFISC (UIB-CSIC) Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"},{"name":"Bioinformatics, Department of Computer Science, University Leipzig, H\u00e4rtelstr. 16-18, 04107 Leipzig, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/998929474"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1038\/20144"},{"key":"rf4","first-page":"685","volume":"55","author":"Blum M. 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