Creeping line vs expanding square: picking a search pattern
Every sector briefing comes down to the same whiteboard moment: LKP or PLS marked, a datum circled, and someone asking which pattern gets the most coverage before fuel or light runs out. The answer isn't fixed. It depends on how good your last known position is, what the terrain looks like, and how many aircraft or drones you've actually got on the ramp.
Expanding square: when the datum is solid
Expanding square earns its keep when you trust the center point. A hiker's last cell ping, a capsized boat's reported position, a PLB hit with decent GPS lock. You start at datum and fly outward in tightening squares, track spacing set by your sweep width for the platform and conditions. It's efficient close to the point and gets expensive fast the farther out you go, since each leg is longer than the last.
The tradeoff coordinators feel is turn density. A small aircraft or a drone with a tight battery budget burns a lot of time turning rather than searching once you're a few legs out. If your confidence in the datum is high, that cost is worth it. If it's shaky, you're burning sorties polishing a circle around the wrong point.
Creeping line and parallel track: when you've got a corridor instead of a point
Creeping line search and parallel track search both assume you don't have one good point, you have a probable area: a drift corridor along a river, a likely route between two ridgelines, a stretch of coastline based on current and wind. Parallel track lays straight legs end to end across the whole box, turning at the edges. Creeping line does the same thing but advances the search slower along the long axis, useful when you want denser coverage near one end of the corridor, maybe near the PLS, and are willing to thin it out as you move away.
Sector search pattern selection between these two usually comes down to where your confidence sits inside the box. If it's roughly even across the whole corridor, parallel track is simpler to brief and fly. If it drops off toward one end, creeping line lets you weight the effort without redrawing the box.
What decides it on the day
On paper this is a clean comparison. On the ramp it's messier. Wind drift changes your corridor mid-search. A second aircraft shows up and you're splitting a sector you planned for one platform.
Someone calls in a visual sighting that moves your datum entirely. The pattern you briefed at 0600 is rarely the pattern that gets flown by 0900, and that's fine. Commander's search action plans get revised in the field constantly; the point of picking a pattern isn't to lock it in, it's to give the aircrew a starting discipline so coverage doesn't have gaps or overlap nobody planned.
Where the pattern choice bites you is after the sortie lands. A tight expanding square over rough terrain can hand you back thousands of frames from a single flight. A long parallel track corridor is worse. Whatever pattern you flew, somebody now has to look at all of it, and the frame-by-frame scroll through a card full of imagery is where coordinators lose the hours they don't have. Search & Rescue Imagery exists for that part specifically: it runs detection and similarity search over the sortie's imagery and hands you back a short ranked list with thumbnails and coordinates instead of the raw folder, so the pattern you chose at the briefing doesn't turn into the bottleneck at the debrief.
If your sector's imagery just landed, that's where it helps.