Identifiability of Large Phylogenetic Mixtures for Many Phylogenetic Model Structures.
- 1Texas State University, San Marcos, United States. [email protected].
- 2North Carolina State University, Raleigh, United States.
Abstract
Identifiability of phylogenetic models is a necessary condition to ensure that the model parameters can be uniquely determined from data. Mixture models are phylogenetic models where the probability distributions in the model are convex combinations of distributions in simpler phylogenetic models. Mixture models are used to model heterogeneity in the substitution process in DNA sequences. While many basic phylogenetic models are known to be identifiable, mixture models in generality have only been shown to be identifiable in certain cases. We expand the main theorem of [Rhodes, Sullivant 2012] to prove identifiability of mixture models in equivariant phylogenetic models, specifically the Jukes-Cantor, Kimura 2-parameter model, Kimura 3-parameter model and the Strand Symmetric model.
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BibTeX
@article{kagy2026identifiability,
title = {{Identifiability of Large Phylogenetic Mixtures for Many Phylogenetic Model Structures.}},
author = {Bryson Kagy and Seth Sullivant},
journal = {Bulletin of mathematical biology},
year = {2026},
month = oct,
doi = {10.1007/s11538-026-01782-5},
url = {https://europepmc.org/article/MED/42909742},
note = {CC BY},
}
RIS
TY - JOUR
TI - Identifiability of Large Phylogenetic Mixtures for Many Phylogenetic Model Structures.
AU - Bryson Kagy
AU - Seth Sullivant
PY - 2026
DA - 2026/10/23
JO - Bulletin of mathematical biology
DO - 10.1007/s11538-026-01782-5
UR - https://europepmc.org/article/MED/42909742
AB - Identifiability of phylogenetic models is a necessary condition to ensure that the model parameters can be uniquely determined from data. Mixture models are phylogenetic models where the probability distributions in the model are convex combinations of distributions in simpler phylogenetic models. Mixture models are used to model heterogeneity in the substitution process in DNA sequences. While many basic phylogenetic models are known to be identifiable, mixture models in generality have only been shown to be identifiable in certain cases. We expand the main theorem of [Rhodes, Sullivant 2012] to prove identifiability of mixture models in equivariant phylogenetic models, specifically the Jukes-Cantor, Kimura 2-parameter model, Kimura 3-parameter model and the Strand Symmetric model.
SN - 0092-8240
SN - 1522-9602
ER -