Alec Kriebel

Raw Strongly Tree-Child Level-2 Species Networks from Metric Genealogy Laws under the NMSC: Signed pair co-occupancy, rooted graph reconstruction, and demographic fibers

We classify the observable rooted graph and parameters of finite strict temporally separated binary strongly tree-child species networks of level at most two under the independent-lineage Network Multispecies Coalescent (NMSC), with a fixed known surjective taxon sampling map. Eq...

Raw Strongly Tree-Child Level-2 Species Networks from Metric Genealogy Laws under the NMSC: Signed pair co-occupancy, rooted graph reconstruction, and demographic fibers

We classify the observable rooted graph and parameters of finite strict temporally separated binary strongly tree-child species networks of level at most two under the independent-lineage Network Multispecies Coalescent (NMSC), with a fixed known surjective taxon sampling map. Eq...

Symmetry-Stratified Identifiability of Strongly Tree-Child Level-2 Phylogenetic Networks: A Unified Theory for JC, K2P, and K3P

The classical four-state group-based DNA models form three symmetry strata on G = Z₂ × Z₂: Jukes–Cantor (JC), Kimura 2-parameter (K2P), and Kimura 3-parameter (K3P) tie the three nonzero Fourier characters in one, two, and three blocks, respectively. Using exact version-bound res...

Symmetry-Stratified Identifiability of Strongly Tree-Child Level-2 Phylogenetic Networks: A Unified Theory for JC, K2P, and K3P

The classical four-state group-based DNA models form three symmetry strata on G = Z₂ × Z₂: Jukes–Cantor (JC), Kimura 2-parameter (K2P), and Kimura 3-parameter (K3P) tie the three nonzero Fourier characters in one, two, and three blocks, respectively. Using exact version-bound res...