The phylogenetic effective sample size and jumps

Krzysztof Bartoszek

Mathematica Applicanda (2018)

  • Volume: 46, Issue: 1
  • ISSN: 1730-2668

Abstract

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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.

How to cite

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Krzysztof Bartoszek. "The phylogenetic effective sample size and jumps." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/293326>.

@article{KrzysztofBartoszek2018,
abstract = {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.},
author = {Krzysztof Bartoszek},
journal = {Mathematica Applicanda},
keywords = {effective sample size, Ornstein–Uhlenbeck with jumps process, phylogenetic comparative methods.},
language = {eng},
number = {1},
pages = {null},
title = {The phylogenetic effective sample size and jumps},
url = {http://eudml.org/doc/293326},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Krzysztof Bartoszek
TI - The phylogenetic effective sample size and jumps
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB - 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.
LA - eng
KW - effective sample size, Ornstein–Uhlenbeck with jumps process, phylogenetic comparative methods.
UR - http://eudml.org/doc/293326
ER -

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