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Correction: "Distinguishing Phylogenetic Level-2 Networks with Quartets and Inter-Taxon Quartet Distances".

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Orchard Networks are Trees with Additional Horizontal Arcs.

Leo van Iersel1, Remie Janssen1, Mark Jones1

  • 1Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, South Holland, The Netherlands.

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|June 21, 2022
PubMed
Summary

Orchard phylogenetic networks, used to model evolutionary history, are now understood as trees with horizontal arcs. This finding connects them to tree-based networks and reveals properties of their evolutionary space.

Keywords:
ConnectednessOrchard networksPhylogenetic networksRearrangement moves

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Area of Science:

  • Evolutionary biology
  • Computational phylogenetics
  • Network theory

Background:

  • Phylogenetic networks model complex evolutionary histories beyond simple tree structures.
  • Orchard phylogenetic networks were recently proposed for computational advantages, lacking clear biological interpretation.
  • Understanding the relationship between different phylogenetic network classes is crucial for evolutionary inference.

Purpose of the Study:

  • To provide a biological interpretation for orchard phylogenetic networks.
  • To establish the relationship between orchard networks and tree-based networks.
  • To analyze the connectivity of the space of orchard networks under specific evolutionary operations.

Main Methods:

  • Interpreting orchard networks as trees augmented with horizontal arcs.
  • Comparing the structure of orchard networks to tree-based networks.
  • Utilizing the rNNI (rearrangements of Neighbor-Net) rearrangement move to analyze network space connectivity.

Main Results:

  • Orchard networks are characterized as trees with additional horizontal arcs.
  • This characterization positions orchard networks as a specific type of tree-based network.
  • The space of orchard networks with n leaves and k reticulations is shown to be connected under the rNNI move.

Conclusions:

  • Orchard phylogenetic networks have a clear structural interpretation related to trees.
  • This interpretation bridges computational and evolutionary perspectives on phylogenetic networks.
  • The connectivity results provide insights into the evolutionary dynamics and space of orchard networks.