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Trait evolution with jumps: illusionary normality
Linköping University, Department of Computer and Information Science, The Division of Statistics and Machine Learning. Linköping University, Faculty of Arts and Sciences.ORCID iD: 0000-0002-5816-4345
2017 (English)In: Proceedings of the XXIII National Conference on Applications of Mathematics in Biology and Medicine, 2017, p. 23-28Conference paper, Published paper (Refereed)
Abstract [en]

Phylogenetic comparative methods for real-valued traits usually make use of stochastic process whose trajectories are continuous.This is despite biological intuition that evolution is rather punctuated thangradual. On the other hand, there has been a number of recent proposals of evolutionarymodels with jump components. However, as we are only beginning to understandthe behaviour of branching Ornstein-Uhlenbeck (OU) processes the asymptoticsof branching  OU processes with jumps is an even greater unknown. In thiswork we build up on a previous study concerning OU with jumps evolution on a pure birth tree.We introduce an extinction component and explore via simulations, its effects on the weak convergence of such a process.We furthermore, also use this work to illustrate the simulation and graphic generation possibilitiesof the mvSLOUCH package.

Place, publisher, year, edition, pages
2017. p. 23-28
National Category
Probability Theory and Statistics Evolutionary Biology Bioinformatics (Computational Biology)
Identifiers
URN: urn:nbn:se:liu:diva-140835OAI: oai:DiVA.org:liu-140835DiVA: diva2:1140807
Conference
XXIII National Conference on Applications of Mathematics in Biology and Medicine
Funder
Wenner-Gren Foundations, RSh2016-0078
Available from: 2017-09-13 Created: 2017-09-13 Last updated: 2018-01-13

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