Non-branching evolution.
Macroevolution in which one species gives rise to (speciation) a single new species. Anagenesis contrasts with cladogenesis. Anagenesis and cladogenesis, however, are not fundamentally different processes or, rather, are only quantitatively different rather than qualitatively different from each other.
Note that a "branch" as used in this context is equivalent to a lineage. In anagenesis a single lineage remains a single lineage whereas in cladogenesis a single lineage is split into two or more individual lineages.
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