RTK Under the Canopy: A 0.18-Ft Disagreement
You are retracing two 1850s section corners, A and B, about 3,000 ft apart, to control a 12-lot subdivision boundary. Your RTK base occupies an NSRS monument 900 ft away in open pasture, with a verified 2.000 m antenna height and a published coordinate; you also verified the base against a second monument. Under a 60-ft oak canopy, station A fixes after 40 s with a reported 0.028 ft horizontal RMS, and you accept it. Station B, in the open, fixes in 15 s. The RTK distance A–B is 2,999.84 ft. A total-station closed traverse, 4,100 ft long, six angles, closes 14" in angle and 0.06 ft in position, and yields A–B = 3,000.02 ft. A second RTK occupation twenty minutes later puts A 0.11 ft east of the first. Two NSRS benchmarks show your RTK elevations reading uniformly 0.28 ft low.
1. Which distance do you hold for the boundary, and why is the receiver's reported RMS not enough to justify the RTK value?
Read the worked answer
Hold the total-station distance, 3,000.02 ft, and re-observe A before you finalize anything.
Reasoning:
- Boundary work is about relative accuracy, not absolute position. The controlling question is the vector between A and B, not where either sits in NAD83(2011). A closed traverse that closes 14" and 0.06 ft over 4,100 ft (about 1:68,000) is doing a good job on that vector.
- The RTK discrepancy is too large to be normal. For a 3,000-ft baseline with a short, verified base line, RTK relative error should be on the order of 1 cm + 1 ppm, i.e. ~0.02–0.04 ft. A 0.18 ft difference is four to nine times that.
- The repeated occupation is the tell. Two occupations of A 0.11 ft apart in easting means the position is not repeatable at the level you are claiming. That is a solution problem, not a noise problem.
- RMS is not accuracy. A receiver's reported horizontal RMS describes the internal consistency of its own solution. A mis-fixed integer ambiguity or a multipath-biased solution can report a beautifully small RMS and still be 0.1–0.3 ft wrong. The canopy occupation - 40 s, under heavy foliage - is exactly the environment that produces confident, wrong fixes.
2. Diagnose the likely cause and lay out the field procedure you would use to resolve it before setting any corner.
Read the worked answer
Ranked causes:
- Multipath and a marginal fixed solution at A (most likely). The canopy generates reflected signals; a 40-second occupation is short enough that a bad ambiguity set can survive.
- Incorrect antenna height or antenna model at the rover - a 0.11 ft error is 0.034 m, within the range of a slip or a phase-center model mismatch.
- Poor satellite geometry at the time of the observation.
- A base coordinate problem - note that a base position error translates the network nearly uniformly and so affects absolute position much more than a 3,000-ft relative vector; it is a weak explanation for the A–B discrepancy but a strong one for any datum tie.
Procedure:
- Re-observe A with a 5–10 minute occupation, off the same point, at a different time of day so the satellite geometry changes.
- Reinitialize the rover between occupations and require a fresh fix; do not accept a re-fix without reinitialization.
- Verify rover and base antenna types and heights against the field notes and the receiver log.
- Move the rover a few meters and return, to test repeatability under the same canopy.
- Tie A and B with the total station from the verified control, and check the RTK against that independent vector.
- Only after the RTK position of A is repeatable within your project tolerance do you publish coordinates or set monuments.
3. The same data set is being used to design a storm drain with grades of about 0.4 percent. How do you treat the uniform 0.28 ft vertical bias - may you simply add 0.28 ft to every RTK elevation?
Read the worked answer
Only with caution, and not for the design grades.
Diagnose the bias first. A uniform vertical offset has a small set of usual suspects:
- Antenna height or antenna phase-center model error (verify against the log, not memory).
- Geoid model version, units, or a mismatch between ellipsoid and orthometric heights in the export.
- Base station height or base coordinate error.
- A wrong vertical datum tag in the project.
Can a constant shift be applied? Yes, but only if you have demonstrated that the offset is constant across the site. Two benchmarks are a start; you need checks at the site's vertical extremes, because the geoid slope and any scale issue vary spatially. A correction derived at one end of a site and applied at the other can easily be a third of the error again.
For the drainage design, do not rely on RTK elevations at all. A 0.4 percent grade produces 1.2 ft of fall in 300 ft, so a 0.28 ft error is nearly a quarter of the total fall and would invert the design intent. Carry vertical control for pipe inverts by differential leveling or a total-station traverse from a verified benchmark, and use RTK for topographic mass data only, with the bias documented in the project report.