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Quantifying the difference between phylogenetic diversity and diversity indices.

Magnus Bordewich1, Charles Semple2

  • 1Department of Computer Science, Durham University, Durham, UK.

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|March 6, 2024
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Summary
This summary is machine-generated.

Phylogenetic diversity indices like Fair Proportion and Equal Splits often differ from the total phylogenetic diversity of a species collection. This study quantifies the maximum difference across various phylogenetic trees and edge length constraints.

Keywords:
Diversity indicesEqual Splits indexFair Proportion indexPhylogenetic diversityPhylogenetic tree

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Area of Science:

  • Ecology
  • Evolutionary Biology
  • Biodiversity Science

Background:

  • Phylogenetic diversity quantifies species collection biodiversity using evolutionary relationships.
  • Phylogenetic diversity indices apportion this diversity to individual species.
  • A key property is whether the sum of individual indices equals the total diversity.

Purpose of the Study:

  • Investigate the discrepancy between total phylogenetic diversity and the sum of individual diversity indices.
  • Analyze this difference for the Fair Proportion and Equal Splits indices.
  • Determine the maximum possible difference under varying tree structures and edge length constraints.

Main Methods:

  • Mathematical analysis of phylogenetic diversity indices.
  • Exploration of rooted phylogenetic trees with identical leaf sets.
  • Consideration of constraints on edge lengths (total sum and maximum value).

Main Results:

  • The sum of Fair Proportion and Equal Splits indices does not generally equal the total phylogenetic diversity of a species set.
  • The maximum difference between these values was determined.
  • This maximum difference is dependent on the topology and edge lengths of the phylogenetic tree.

Conclusions:

  • The Fair Proportion and Equal Splits indices exhibit a quantifiable deviation from additivity.
  • Understanding this deviation is crucial for accurate biodiversity assessment.
  • The study provides bounds on this deviation across different phylogenetic scenarios.