ΔE 7.3, close: similar, with a visible difference side by side. Mahogany Ink is a little lighter, cooler than Tree Ancient. They are different kinds of paint: Army Painter Tree Ancient is an opaque base/layer paint and Vallejo Mahogany Ink is an ink, glaze or transparent paint, so they won’t behave the same on the model even where the colour is close.
Usually, if you are not matching paint already on the model. Close match (ΔE 7). Mahogany Ink is a little lighter, cooler than Tree Ancient. They are different kinds of paint.
The same difference applies the other way round: Tree Ancient is a little darker, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Tree Ancient on the colour wheel See Mahogany Ink on the colour wheel
All matches: Tree Ancient equivalents · Mahogany Ink equivalents