{"title":"The performance of the neighbor-joining method of phylogeny reconstruction","authors":"K. Atteson","doi":"10.1090/dimacs/037/08","DOIUrl":"https://doi.org/10.1090/dimacs/037/08","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121113788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimation of missing distances in path-length matrices: Problems and solutions","authors":"P. Landry, F. Lapointe","doi":"10.1090/dimacs/037/12","DOIUrl":"https://doi.org/10.1090/dimacs/037/12","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126773593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiple trees: Fitting two or more tree structures to proximity data","authors":"J. Carroll, G. Soete","doi":"10.1090/dimacs/037/22","DOIUrl":"https://doi.org/10.1090/dimacs/037/22","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121442284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phylogeny graphs of arbitrary digraphs","authors":"F. Roberts, Li Sheng","doi":"10.1090/dimacs/037/15","DOIUrl":"https://doi.org/10.1090/dimacs/037/15","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124229053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Krohn-Rhodes theory, hierarchies & evolution","authors":"Chrystopher L. Nehaniv, J. Rhodes","doi":"10.1090/dimacs/037/02","DOIUrl":"https://doi.org/10.1090/dimacs/037/02","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121832721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Maria Luisa Bonet, C. Phillips, T. Warnow, Shibu Yooseph
{"title":"Inferring evolutionary trees from polymorphic characters, and an analysis of the Indo-European family of languages","authors":"Maria Luisa Bonet, C. Phillips, T. Warnow, Shibu Yooseph","doi":"10.1090/dimacs/037/03","DOIUrl":"https://doi.org/10.1090/dimacs/037/03","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"224 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132563257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Concerning the NJ algorithm and its unweighted version, UNJ","authors":"O. Gascuel","doi":"10.1090/dimacs/037/09","DOIUrl":"https://doi.org/10.1090/dimacs/037/09","url":null,"abstract":"In this paper we will present UNJ, an unweighted version of the NJ algorithm (Saitou and Nei 1987; Studier and Keppler 1988). We will demonstrate that UNJ is well suited when the data are of the ( ) ( ) δ ε ij ij ij d = + type, where ( ) d ij is a tree distance, and when the εij are independent and identically distributed noise variables. Simulations confirm this theory. On a more general level, we will study the three main components of the agglomerative approach, applied to the reconstruction of tree distances. (i) We will demonstrate that the selection criterion for the pair to be agglomerated, used by NJ and UNJ, retains its meaning whatever the variances and covariances of the δij estimates. We will also provide a new proof of the correction of this criterion, based on an interpretation in acentrality terms proposed by Mirkin (1996). (ii) Using the results of Vach (1989), of which we will provide a simple new demonstration, we propose an analytical formula which enables the correct least-squares estimation of edge lengths in ( ) O n time, where n is the number of objects. (iii) We will provide a class of admissible reduction formulae which guarantee the finding of the true tree with additive data. We propose to choose, among these formulae, the minimum variance reduction, so that at each step we use estimates which are as reliable as possible in choosing the pair to be agglomerated. We will present the general solution, and apply it to the particular data model retained here.","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"50 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116707563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparison of annotating duplication, tree mapping, and copying as methods to compare gene trees with species trees","authors":"O. Eulenstein, B. Mirkin, M. Vingron","doi":"10.1090/dimacs/037/05","DOIUrl":"https://doi.org/10.1090/dimacs/037/05","url":null,"abstract":"This paper reviews the authors work on the idea of employing the mechanism of gene duplication in explaining the di erences between a gene and species trees Three existing approaches are presented as based on a tree mapping b annotating duplication and c copying duplication modeling Correspondences between a and b and b and c are mathematically explored It is proven in particular that approaches b and c lead to equivalent duplication histories Moreover all the three approaches equivalently count the numbers of duplications and losses needed to explain all the di erences between trees","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130248727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nesticity","authors":"Pierre Hansen, D. D. Werra","doi":"10.1090/dimacs/037/14","DOIUrl":"https://doi.org/10.1090/dimacs/037/14","url":null,"abstract":"","PeriodicalId":336874,"journal":{"name":"Mathematical Hierarchies and Biology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124309829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}