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The phylogenetic effective sample size and jumps
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
2018 (English)In: MATHEMATICA APPLICANDA (MATEMATYKA STOSOWANA), ISSN 1730-2668, Vol. 46, no 1, p. 25-33Article in journal (Refereed) Published
Abstract [en]

The phylogenetic effective sample size is a parameter that has as its goal the quantification of the amount of independent signal in a phylogenetically correlatedsample. It was studied for Brownian motion and Ornstein-Uhlenbeck models of trait evolution. Here, we study this composite parameter when the trait is allowedto jump at speciation points of the phylogeny. Our numerical study indicates thatthere is a non-trivial limit as the effect of jumps grows. The limit depends on thevalue of the drift parameter of the Ornstein-Uhlenbeck process.

Place, publisher, year, edition, pages
Polskie Towarzystwo Matematyczne , 2018. Vol. 46, no 1, p. 25-33
Keywords [en]
effective sample size, Ornstein–Uhlenbeck with jumps process, phylogenetic comparative methods
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-151597DOI: 10.14708/ma.v46i1.6368OAI: oai:DiVA.org:liu-151597DiVA, id: diva2:1251293
Available from: 2018-09-26 Created: 2018-09-26 Last updated: 2019-09-04

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Bartoszek, Krzysztof
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  • apa
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