Patterns on a tree can be described in terms of natural variables, or elemental components, examples of which are shown here. Each component is a bifurcated pattern centered on a subtree (ℓ, τ) and expressed in a generation g (where τ is ignored in an unordered tree). For example, the blue/non-blue bifurcated pattern occupies a subtree rooted at ℓ = 3 and observed at generations 5, 6, and 7. Note that ℓ = 1 variation (on the right) is a bifurcation across the whole pedigree. Variation among different pedigrees would be labeled with ℓ = 0.</p
Bifurcating tree where the hybrid clade is sister to the major edge used to estimate ancestral area ...
These are undirected graphs in the original variables (shown as binary numbers). Each generation is ...
A labeled gene tree topology that disagrees with a labeled species tree topology is said to be anoma...
These directed graphs in the natural variables show the dynamics of the bifurcated expression patter...
Each natural variable is identified by a source of variation (ℓ, τ), corresponding to the root of a ...
The example portion of the trees is after Fig 2 in [7], where the lineage tree (redrawn as c herein)...
Branching occurs in natural systems for functional reasons. However, the branching logic for each sp...
(A) Somatic mutations identified in leaves. Each mutation is represented by a number (e.g., 1, 2, et...
<p>In this example, the parameter space consists of two parameters <i>X</i> and <i>Y</i> ranging fro...
Adjacency trees can model the nesting structure of spatial regions. In many applications it is neces...
Bifurcating tree where the hybrid clade is sister to the minor edge used to estimate ancestral area ...
This example was taken from the first 4 generations of the branching process. Natural variables alon...
<p><b>A.</b> Projecting the red bifurcation point () onto the blue bifurcation plane reduces the cos...
Spatial organization is a well-known feature of vegetation in semi-arid regions. This phenomenon app...
AbstractAdjacency trees can model the nesting structure of spatial regions. In many applications it ...
Bifurcating tree where the hybrid clade is sister to the major edge used to estimate ancestral area ...
These are undirected graphs in the original variables (shown as binary numbers). Each generation is ...
A labeled gene tree topology that disagrees with a labeled species tree topology is said to be anoma...
These directed graphs in the natural variables show the dynamics of the bifurcated expression patter...
Each natural variable is identified by a source of variation (ℓ, τ), corresponding to the root of a ...
The example portion of the trees is after Fig 2 in [7], where the lineage tree (redrawn as c herein)...
Branching occurs in natural systems for functional reasons. However, the branching logic for each sp...
(A) Somatic mutations identified in leaves. Each mutation is represented by a number (e.g., 1, 2, et...
<p>In this example, the parameter space consists of two parameters <i>X</i> and <i>Y</i> ranging fro...
Adjacency trees can model the nesting structure of spatial regions. In many applications it is neces...
Bifurcating tree where the hybrid clade is sister to the minor edge used to estimate ancestral area ...
This example was taken from the first 4 generations of the branching process. Natural variables alon...
<p><b>A.</b> Projecting the red bifurcation point () onto the blue bifurcation plane reduces the cos...
Spatial organization is a well-known feature of vegetation in semi-arid regions. This phenomenon app...
AbstractAdjacency trees can model the nesting structure of spatial regions. In many applications it ...
Bifurcating tree where the hybrid clade is sister to the major edge used to estimate ancestral area ...
These are undirected graphs in the original variables (shown as binary numbers). Each generation is ...
A labeled gene tree topology that disagrees with a labeled species tree topology is said to be anoma...