TY - JOUR
T1 - Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes
AU - Gross, Elizabeth
AU - van Iersel, Leo
AU - Janssen, Remie
AU - Jones, Mark
AU - Long, Colby
AU - Murakami, Yukihiro
PY - 2021
Y1 - 2021
N2 - Phylogenetic networks can represent evolutionary events that cannot be described by phylogenetic trees. These networks are able to incorporate reticulate evolutionary events such as hybridization, introgression, and lateral gene transfer. Recently, network-based Markov models of DNA sequence evolution have been introduced along with model-based methods for reconstructing phylogenetic networks. For these methods to be consistent, the network parameter needs to be identifiable from data generated under the model. Here, we show that the semi-directed network parameter of a triangle-free, level-1 network model with any fixed number of reticulation vertices is generically identifiable under the Jukes–Cantor, Kimura 2-parameter, or Kimura 3-parameter constraints.
AB - Phylogenetic networks can represent evolutionary events that cannot be described by phylogenetic trees. These networks are able to incorporate reticulate evolutionary events such as hybridization, introgression, and lateral gene transfer. Recently, network-based Markov models of DNA sequence evolution have been introduced along with model-based methods for reconstructing phylogenetic networks. For these methods to be consistent, the network parameter needs to be identifiable from data generated under the model. Here, we show that the semi-directed network parameter of a triangle-free, level-1 network model with any fixed number of reticulation vertices is generically identifiable under the Jukes–Cantor, Kimura 2-parameter, or Kimura 3-parameter constraints.
KW - Identifiability
KW - Markov processes
KW - Phylogenetic networks
KW - Reticulation
UR - http://www.scopus.com/inward/record.url?scp=85114344073&partnerID=8YFLogxK
U2 - 10.1007/s00285-021-01653-8
DO - 10.1007/s00285-021-01653-8
M3 - Article
AN - SCOPUS:85114344073
VL - 83
SP - 1
EP - 24
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
SN - 0303-6812
IS - 3
M1 - 32
ER -