Branch order is important because many analyses in Neurolucida Explorer report on branch order or depend on branch order in the grouping of branched structure segments.
The default branch order is Centrifugal but you have the option to use Shaft ordering instead. Note that additional branch ordering schemes can be used in Neurolucida Explorer.
The centrifugal method is the basic scheme to assign branch order to a tree.
This process continues until all branches are assigned a value.
Centrifugal ordering counts the distance from the root in terms of the number of segments traversed. The advantage to centrifugal ordering is that missing portions of the tree do not result in incorrect numbering of the known segments.
With shaft ordering, a central shaft (or trunk) is designated as first order throughout its length, although it may consist of many segments and traverse many nodes. All branches emanating from this central shaft are designated as second order, with higher branch orders assigned to sub-branches.
Note that all segments along the primary branch are designated with a 1. The illustration below shows the same structure with 2 alternate branch orders, the first with the primary branch in the top right, the second with the primary branch ending at the bottom right: