Hekkelman, G. (2014) Modelling macro- evolution: how long does speciation take? Bachelor's Thesis, Mathematics.
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Abstract
In this paper, we study the constant birth-death process and the protracted birth-death process which describes macro-evolution in biology. We derive some properties of these models, and an- alytically derive the likelihood of the constant birth-death model. For the protracted birth-death model, we derive an appromation of the likelihood using the concept of Gaussian processes. Using the exact likelihood of the constant birth-death process and the approximated likelihood of the protracted birth-death model, we infer a given phylogenetic tree and discuss the results.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 07:58 |
| Last Modified: | 15 Feb 2018 07:58 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/12107 |
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