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Uncertainty Estimat...
Uncertainty Estimation in Models of Multivariate Trait Evolution on Given Phylogenies
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- Kiang, Woodrow Hao Chi, 1993- (författare)
- Linköpings universitet,Statistik och maskininlärning,Filosofiska fakulteten
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- Bartoszek, Krzysztof, Associate Professor, 1984- (preses)
- Linköpings universitet,Statistik och maskininlärning,Filosofiska fakulteten
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- Ronquist, Fredrik, Professor (opponent)
- Naturhistoriska riksmuseet, Stockholm, Sverige
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(creator_code:org_t)
- ISBN 9789180755894
- Linköping : Linköping University Electronic Press, 2024
- Engelska 43 s.
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Serie: FiF-avhandling - Filosofiska fakulteten – Linköpings universitet, 1401-4637 ; 134
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- Phylogenetic comparative methods are a set of statistical methods that model the evolutionary history of species, especially in the context where one has data on certain traits of related extant species that have evolved over a phylogenetic tree in accordance to an underlying stochastic process. This thesis presents a Hessian-based closed-form asymptotic confidence region that covers a wide family of Gaussian continuous-trait evolution models; the result has been implemented in an R package. Also, some analyses have been done on the simpler Brownian Motion and Ornstein-Uhlenbeck process cases; and this leads to novel exact confidence regions for the Brownian Motion’s parameters and a closed-form ’partial’ unbiased estimator for the Ornstein-Uhlenbeck process’ varaince-covariance matrix when other parameters are given. The thesis contains two papers. Paper I is an applied work that uses discrete-trait speciation and extinction model to investigate early spread of COVID-19; it shows that it is possible to detect statistical signals of inter-continental spread of the virus from a very noisy world-wide phylogeny. Paper II is a more mathematical work that derived the closed-form formulae for the Hessian matrix of a wide family of Gaussian-process-based multivariate continuous-trait PCM models; accompanying with the Paper I have developed an R package called glinvci, publicly available on The Comprehensive R Archive Network (CRAN), that can compute Hessian-based confidence regions for these models while at the same time allowing users to have missing data and multiple evolutionary regimes.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Phylogenetic comparative methods
- Branching stochastic processes
- Fylogenetiska jämförande metoder
- Förgrenade stokastiska processer
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