The Probabilities of Trees and Cladograms under Ford’s α-Model
Ford’s α-model is one of the most popular random parametric models of bifurcating phylogenetic tree growth, having as specific instances both the uniform and the Yule models. Its general properties have been used to study the behavior of phylogenetic tree shape indices under the probability distribu...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2018/1916094 |
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| _version_ | 1849405981615718400 |
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| author | Tomás M. Coronado Arnau Mir Francesc Rosselló |
| author_facet | Tomás M. Coronado Arnau Mir Francesc Rosselló |
| author_sort | Tomás M. Coronado |
| collection | DOAJ |
| description | Ford’s α-model is one of the most popular random parametric models of bifurcating phylogenetic tree growth, having as specific instances both the uniform and the Yule models. Its general properties have been used to study the behavior of phylogenetic tree shape indices under the probability distribution it defines. But the explicit formulas provided by Ford for the probabilities of unlabeled trees and phylogenetic trees fail in some cases. In this paper we give correct explicit formulas for these probabilities. |
| format | Article |
| id | doaj-art-4ee2e9b2efb44d4bbcda27a62121e036 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-4ee2e9b2efb44d4bbcda27a62121e0362025-08-20T03:36:32ZengWileyThe Scientific World Journal2356-61401537-744X2018-01-01201810.1155/2018/19160941916094The Probabilities of Trees and Cladograms under Ford’s α-ModelTomás M. Coronado0Arnau Mir1Francesc Rosselló2Balearic Islands Health Research Institute (IdISBa) and Department of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, SpainBalearic Islands Health Research Institute (IdISBa) and Department of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, SpainBalearic Islands Health Research Institute (IdISBa) and Department of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, SpainFord’s α-model is one of the most popular random parametric models of bifurcating phylogenetic tree growth, having as specific instances both the uniform and the Yule models. Its general properties have been used to study the behavior of phylogenetic tree shape indices under the probability distribution it defines. But the explicit formulas provided by Ford for the probabilities of unlabeled trees and phylogenetic trees fail in some cases. In this paper we give correct explicit formulas for these probabilities.http://dx.doi.org/10.1155/2018/1916094 |
| spellingShingle | Tomás M. Coronado Arnau Mir Francesc Rosselló The Probabilities of Trees and Cladograms under Ford’s α-Model The Scientific World Journal |
| title | The Probabilities of Trees and Cladograms under Ford’s α-Model |
| title_full | The Probabilities of Trees and Cladograms under Ford’s α-Model |
| title_fullStr | The Probabilities of Trees and Cladograms under Ford’s α-Model |
| title_full_unstemmed | The Probabilities of Trees and Cladograms under Ford’s α-Model |
| title_short | The Probabilities of Trees and Cladograms under Ford’s α-Model |
| title_sort | probabilities of trees and cladograms under ford s α model |
| url | http://dx.doi.org/10.1155/2018/1916094 |
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