تقرير
Invariants for level-1 phylogenetic networks under the random walk 4-state Markov model
| العنوان: | Invariants for level-1 phylogenetic networks under the random walk 4-state Markov model |
|---|---|
| المؤلفون: | Frohn, M., Holtgrefe, N., van Iersel, L., Jones, M., Kelk, S. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Quantitative Biology |
| مصطلحات موضوعية: | Quantitative Biology - Populations and Evolution, Mathematics - Algebraic Geometry |
| الوصف: | Phylogenetic networks can represent evolutionary events that cannot be described by phylogenetic trees, such as hybridization, introgression, and lateral gene transfer. Studying phylogenetic networks under a statistical model of DNA sequence evolution can aid the inference of phylogenetic networks. Most notably Markov models like the Jukes-Cantor or Kimura-3 model can been employed to infer a phylogenetic network using phylogenetic invariants. In this article we determine all quadratic invariants for sunlet networks under the random walk 4-state Markov model, which includes the aforementioned models. Taking toric fiber products of trees and sunlet networks, we obtain a new class of invariants for level-1 phylogenetic networks under the same model. Furthermore, we apply our results to the identifiability problem of a network parameter. In particular, we prove that our new class of invariants of the studied model is not sufficient to derive identifiability of quarnets (4-leaf networks). Moreover, we provide an efficient method that is faster and more reliable than the state-of-the-art in finding a significant number of invariants for many level-1 phylogenetic networks. Comment: Submitted to journal. 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.11720 |
| رقم الأكسشن: | edsarx.2407.11720 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |