Directional/Formative Pruning – Removing branches to shape the tree and make structurally sound.
Vista Pruning – Removing branches to improve a view.
Pollarding – pruning certain deciduous trees back to pollard heads in dormant periods.
Crown Reduction – Removing branches to shape the tree and make structurally sound.
Crown Lifting – Removing the lower branches.
Crown / Canopy Thinning – Reducing wind resistance and increasing light.
Stump Removal / Grinding – Mechanically grinding and cutting out a tree stump.
Sectional Felling – Complete removal of a tree in sections.
Tree Removal / Dismantling – Similar to Sectional Felling.
Tall Hedge Management – Pruning of hedges aided by a mechanical lift.
Hedge Cutting – Pruning of hedges.
*see Wikipedia for further clarification of arboriculture terminology