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There are no caterpillars in a wicked forest

Author

Listed:
  • Degnan, James H.
  • Rhodes, John A.

Abstract

Species trees represent the historical divergences of populations or species, while gene trees trace the ancestry of individual gene copies sampled within those populations. In cases involving rapid speciation, gene trees with topologies that differ from that of the species tree can be most probable under the standard multispecies coalescent model, making species tree inference more difficult. Such anomalous gene trees are not well understood except for some small cases. In this work, we establish one constraint that applies to trees of any size: gene trees with “caterpillar†topologies cannot be anomalous. The proof of this involves a new combinatorial object, called a population history, which keeps track of the number of coalescent events in each ancestral population.

Suggested Citation

  • Degnan, James H. & Rhodes, John A., 2015. "There are no caterpillars in a wicked forest," Theoretical Population Biology, Elsevier, vol. 105(C), pages 17-23.
    • Handle: RePEc:eee:thpobi:v:105:y:2015:i:c:p:17-23
    DOI: 10.1016/j.tpb.2015.08.007
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    References listed on IDEAS

    as
    1. Rosenberg, Noah A. & Degnan, James H., 2010. "Coalescent histories for discordant gene trees and species trees," Theoretical Population Biology, Elsevier, vol. 77(3), pages 145-151.
    2. Roch, Sebastien & Steel, Mike, 2015. "Likelihood-based tree reconstruction on a concatenation of aligned sequence data sets can be statistically inconsistent," Theoretical Population Biology, Elsevier, vol. 100(C), pages 56-62.
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