Title
Phylogenetics beyond biology.
Abstract
Evolutionary processes have been described not only in biology but also for a wide range of human cultural activities including languages and law. In contrast to the evolution of DNA or protein sequences, the detailed mechanisms giving rise to the observed evolution-like processes are not or only partially known. The absence of a mechanistic model of evolution implies that it remains unknown how the distances between different taxa have to be quantified. Considering distortions of metric distances, we first show that poor choices of the distance measure can lead to incorrect phylogenetic trees. Based on the well-known fact that phylogenetic inference requires additive metrics, we then show that the correct phylogeny can be computed from a distance matrix [Formula: see text] if there is a monotonic, subadditive function [Formula: see text] such that [Formula: see text] is additive. The required metric-preserving transformation [Formula: see text] can be computed as the solution of an optimization problem. This result shows that the problem of phylogeny reconstruction is well defined even if a detailed mechanistic model of the evolutionary process remains elusive.
Year
DOI
Venue
2018
10.1007/s12064-018-0264-7
Theory in Biosciences
Keywords
DocType
Volume
Cultural evolution,Phylogenetic tree,Additive metric,Metric-preserving functions
Journal
137
Issue
ISSN
Citations 
2
1431-7613
0
PageRank 
References 
Authors
0.34
11
2
Name
Order
Citations
PageRank
Nancy Retzlaff100.68
Peter F. Stadler21839152.96