What in band means in the output of lslv -l <lv name>

In band meaning: This is the placement of the LV on the disk and its relation to the Intra Policy (edge, inner, etc). Also In band percentage indicates how well LVM has done in accommodating the intraphysical volume placement policy.

For example

lslv -l testlv

PV                COPIES        IN BAND       DISTRIBUTION

hdisk0            038:000:000   100%          000:000:038:000:000

       Intra-policy

            Intra-physical allocation policy

The intra-disk allocation policy choices are based on the five regions of a disk where physical partitions can be located.

The closer a given physical partition is to the center of a physical volume, the lower the average seek time is because the center has the shortest average seek distance from any other part of the disk.

The general rule is that the more I/Os, either absolutely or during the running of an important application, the closer to the center of the physical volumes the physical partitions of the logical volume needs to be allocated

The five regions where physical partitions can be located are as follows:

1. outer edge
2. inner edge
3. outer middle
4. inner middle
5. center

The edge partitions have the slowest average seek times, which generally result in longer response times for any application that uses them. The center partitions have the fastest average seek times, which generally result in the best response time for any application that uses them. There are, however, fewer partitions on a physical volume at the center than at the other regions.