dorsal/arxiv
View SchemaStochastic Models for Phylogenetic Trees on Higher-order Taxa
| Authors | David Aldous, Maxim Krikun, Lea Popovic |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0702014 |
| URL | https://arxiv.org/abs/q-bio/0702014 |
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-Popovic (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.
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"abstract": "Simple stochastic models for phylogenetic trees on species have been well\nstudied. But much paleontology data concerns time series or trees on\nhigher-order taxa, and any broad picture of relationships between extant groups\nrequires use of higher-order taxa. A coherent model for trees on (say) genera\nshould involve both a species-level model and a model for the classification\nscheme by which species are assigned to genera. We present a general framework\nfor such models, and describe three alternate classification schemes. Combining\nwith the species-level model of Aldous-Popovic (2005), one gets models for\nhigher-order trees, and we initiate analytic study of such models. In\nparticular we derive formulas for the lifetime of genera, for the distribution\nof number of species per genus, and for the offspring structure of the tree on\ngenera.",
"arxiv_id": "q-bio/0702014",
"authors": [
"David Aldous",
"Maxim Krikun",
"Lea Popovic"
],
"categories": [
"q-bio.PE",
"math.PR"
],
"title": "Stochastic Models for Phylogenetic Trees on Higher-order Taxa",
"url": "https://arxiv.org/abs/q-bio/0702014"
},
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"type": "Model",
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