Stochastic models for phylogenetic trees on higher-order taxa |
| |
Authors: | David Aldous Maxim Krikun Lea Popovic |
| |
Affiliation: | (1) Department of Statistics, University of California, 367 Evans Hall # 3860, Berkeley, CA 94720-3860, USA;(2) Institut Elie Cartan, Universite Henri Poincare, Nancy, France;(3) Department of Mathematics, Cornell University, Ithaca, NY 14853, USA;(4) Present address: Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blud West, Montreal, Quebec, Canada, H3G 1M8 |
| |
Abstract: | Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of higher-order taxa. A coherent model for trees on (say) genera should involve both a species-level model and a model for the classification scheme by which species are assigned to genera. We present a general framework for such models, and describe three alternate classification schemes. Combining with the species-level model of Aldous and Popovic (Adv Appl Probab 37:1094–1115, 2005), one gets models for higher-order trees, and we initiate analytic study of such models. In particular we derive formulas for the lifetime of genera, for the distribution of number of species per genus, and for the offspring structure of the tree on genera. David Aldous’s research was supported by NSF Grant DMS-0704159. |
| |
Keywords: | 92D15 60J85 |
本文献已被 PubMed SpringerLink 等数据库收录! |
|