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Some axiomatic limitations for consensus and supertree functions on hierarchies
F R McMorris1, Robert C Powers2
1Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, United States; Department of Mathematics, University of Louisville, Louisville, KY 40292, United States.
Journal of Theoretical Biology
|June 21, 2016
Summary
This study examines limitations in consensus and supertree functions used in phylogenetics. It analyzes how seemingly simple conditions can impact evolutionary relationship summaries when adding or removing trees with no new branching information.
Area of Science:
- Systematic biology
- Phylogenetics
- Computational biology
Background:
- Consensus and supertree functions are crucial for summarizing evolutionary relationships from multiple phylogenetic trees.
- These methods are applied when trees share the same set of taxa (consensus) or different sets (supertree).
Purpose of the Study:
- To identify and analyze limitations arising from seemingly innocuous conditions imposed on consensus and supertree functions.
- To investigate the impact of specific axioms on tree summary outcomes.
Main Methods:
- Review of previous work on phylogenetic tree summarization.
- Analysis of new material concerning the behavior of consensus and supertree functions.
- Examination of axioms related to the addition or removal of trees lacking novel branching information.
Main Results:
- Certain reasonable conditions can lead to unexpected limitations in consensus and supertree functions.
- The addition or removal of trees with no new branching information can significantly affect the resulting evolutionary relationship summary.
Conclusions:
- Careful consideration of axiomatic conditions is necessary to ensure the robustness of phylogenetic tree summarization methods.
- The study highlights potential pitfalls in applying consensus and supertree functions, particularly concerning data redundancy.
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