國立虎尾科技大學 |

Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution./
Author:	Wang, Kun-Chieh.
Description:	1 online resource (124 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369747935

Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution.
Wang, Kun-Chieh.

Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution. - 1 online resource (124 pages)

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Unearthing the evolutionary relationships between different but related taxa, both living and extinct, in order to understand the tree of life is one of the main goals for both biologists and mathematicians. From the time of On the Origin of Species by Charles Darwin around 1859, numerous models, theories and algorithms have been raised and improved. The purpose of this thesis is to further extend some existing theories and introduce a new network algorithm in phylogenetic reconstruction.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369747935Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution.
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245 1 0 $a Phylogenetic reconstruction accuracy in the face of heterogeneity, recombination, and reticulate evolution.
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300 $a 1 online resource (124 pages)
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500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Sebastien Roch.
502 $a Thesis (Ph.D.) $c The University of Wisconsin - Madison $d 2017.
504 $a Includes bibliographical references
520 $a Unearthing the evolutionary relationships between different but related taxa, both living and extinct, in order to understand the tree of life is one of the main goals for both biologists and mathematicians. From the time of On the Origin of Species by Charles Darwin around 1859, numerous models, theories and algorithms have been raised and improved. The purpose of this thesis is to further extend some existing theories and introduce a new network algorithm in phylogenetic reconstruction.
520 $a The purpose of my first project is to estimate the accuracy of the Fitch algorithm. The Fitch algorithm is used to solve ancestral state reconstruction problem, whose goal is to find the state of the common ancestors from the state of multiple species. As a parsimony method, the Fitch algorithm reconstruct the states which minimize number of state changes along all possible mutations. My results indicate that in the Cavender-Farris-Neyman model, both on a deterministic tree with branching number larger than 3/2 and on the Yule model with parameter larger than 6, the accuracy is strictly better than a random guessing.
520 $a The second project focuses on comparing a few multi-locus reconstruction methods which deal with incomplete lineage sorting (ILS), under the assumption that the loci involve both ILS and recombination in the three-taxon case. The results show the decay rate of the accuracy of these multi-locus reconstruction methods, and I compare the accuracies via simulation.
520 $a In the third project, I introduce a fast-converging split network reconstruction algorithm and prove the consistency of the algorithm. Like the idea of the short quartet method (SQM), the algorithm relies on short distances only. By shortening the radius of the trusted region, the algorithm eliminates the disadvantage of Neighbor-Net and the split decomposition method, the most popular network reconstruction methods in the last couple of decades.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Wisconsin - Madison. $b Mathematics. $3 1180732
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10279338 $z click for full text (PQDT)