3.4 Bearing, Distance, Elevation & Improvement Tolerances; GNSS Quality Control
Key Takeaways
Rule 7.5 bearing accuracy relative to source is ±1 minute for Class A, ±2 minutes for Class B, and ±3 minutes for Class C.
Rule 7.5 distance accuracy is 0.03 ft + 50 ppm for Class A, 0.05 ft + 100 ppm for Class B, and 0.07 ft + 150 ppm for Class C.
Elevations for boundaries controlled by tides, contours, or rivers must be accurate to ±0.05, ±0.10, and ±0.20 ft for Classes A, B, and C, based on NGVD or NAVD.
Improvement tie measurements must be accurate to ±0.1 ft for Class A, ±0.2 ft for Class B, and ±1.0 ft for Class C (Rule 7.5).
Whenever State Plane Coordinates are used, the plat must show the zone, datum, method, combined factor, convergence angle, and coordinates of at least two reference points (Rule 7.3).
The rest of the Rule 7.5 table
| Parameter | Class A | Class B | Class C | Remarks in the rule |
|---|---|---|---|---|
| Accuracy of bearing | ±1 min | ±2 min | ±3 min | Relative to source |
| Accuracy of distances | 0.03 ft + 50 ppm | 0.05 ft + 100 ppm | 0.07 ft + 150 ppm | 100 ppm = 1:10,000 |
| Elevations for boundaries controlled by tides, contours, rivers, etc. | ±0.05 ft | ±0.10 ft | ±0.20 ft | Based on NGVD/NAVD |
| Location of improvements (structures, paving, etc.; tie measurement) | ±0.1 ft | ±0.2 ft | ±1.0 ft | — |
Distance accuracy: constant plus proportional
Each distance tolerance has two parts:
- a constant (0.03, 0.05, or 0.07 ft), covering centering, prism-constant, and reading errors that do not grow with length; and
- a proportional part in parts per million, covering errors that scale with distance, such as atmospheric and scale errors.
One ppm is 1/1,000,000 of the distance, or 0.001 ft per 1,000 ft. The rule's own remark gives a quick check: 100 ppm = 1:10,000.
Allowable error = constant + (ppm × 10⁻⁶ × distance)
| Distance | Class A (0.03 + 50 ppm) | Class B (0.05 + 100 ppm) | Class C (0.07 + 150 ppm) |
|---|---|---|---|
| 100 ft | 0.035 ft | 0.060 ft | 0.085 ft |
| 500 ft | 0.055 ft | 0.100 ft | 0.145 ft |
| 1,000 ft | 0.080 ft | 0.150 ft | 0.220 ft |
| 2,000 ft | 0.130 ft | 0.250 ft | 0.370 ft |
| 5,280 ft | 0.294 ft | 0.578 ft | 0.862 ft |
Example. On a 2,000-ft line in a Class B survey, the tolerance is 0.05 + (100 × 10⁻⁶ × 2,000) = 0.05 + 0.20 = 0.25 ft. Common wrong answers drop the constant (0.20 ft) or treat 100 ppm as 0.1 ft per foot.
Bearing accuracy relative to the source
Rule 7.3 requires every survey to be referenced to true north, grid north, or the record bearing of a well-defined, monumented line (Section 4.1). Rule 7.5 then requires bearings to be accurate relative to that source within ±1′ (A), ±2′ (B), or ±3′ (C). If the basis of bearings is a monumented subdivision line, the surveyor's bearing between those monuments must agree with the record within the class tolerance, and the rest of the survey is rotated consistently.
Elevations for water- and contour-controlled boundaries
Some boundaries are elevations, not lines on the ground: a tidal boundary at mean high water, a lake contour, or a reservoir take line. For these, Rule 7.5 requires the controlling elevation to be established to ±0.05 ft (A), ±0.10 ft (B), or ±0.20 ft (C), based on NGVD or NAVD. On flat marsh or a gently sloping lake shore, a small vertical error moves the boundary a long way horizontally. On a 1% slope, a 0.10-ft vertical error moves the contour about 10 ft. Mississippi's Public Trust Tidelands Act separately defines mean high water from a nineteen-year tidal epoch (Section 10.3).
Tie measurements to improvements
Rule 7.3 requires the plat to show visible encroachments with their extent and the location of permanent improvements relevant to the survey's purpose (Section 4.3). Rule 7.5 sets how accurately those ties must be measured: ±0.1 ft (A), ±0.2 ft (B), ±1.0 ft (C). A downtown building corner 0.15 ft from a line needs a Class A tie to report reliably which side of the line it is on.
GNSS and other radial methods (Rule 7.5(2))
"If radial survey methods such as global positioning systems (GPS) or other acceptable technologies or procedures are used to locate or establish points on the boundary survey, the Professional Surveyor shall apply acceptable surveying procedures and perform adequate quality control measures to ensure that the allowable positional accuracy and/or positional tolerance of such points are not exceeded."
The rule does not list specific PDOP limits, session lengths, or re-occupation times. It sets a performance standard, and the surveyor must be able to show how it was met. Accepted practice, drawn from National Geodetic Survey guidance for real-time and static GNSS, includes:
- Checking into published control or a known monument before and after the work.
- Taking redundant, independent observations of boundary points under different satellite geometry, with fixed solutions only.
- Comparing repeat positions against the class tolerances above.
- Tying to at least two control points so rotation and scale can be verified.
- Keeping the field and processing records needed to show that quality control was performed.
(Section 12.2 covers the network and field practice in more depth.)
When State Plane Coordinates appear on a plat (Rule 7.3, item 18)
Whenever State Plane Coordinates are used in the process of conducting a survey, the plat must show:
- the State Plane Coordinate System zone;
- the horizontal or vertical datum used;
- the method used to derive the information (GNSS or conventional), including any published horizontal and vertical control points used;
- a combined or correction factor;
- the convergence angle; and
- the coordinates of at least two reference points relevant to the survey.
If State Plane Coordinates are part of a written description, the description must include the same items (Rule 7.3, item 13). The Mississippi Coordinate System statute (§§ 89-6-1 to -19) adds its own conditions for recording coordinates (Section 12.1).
What is the allowable distance error on a 2,000-foot line in a Class B survey under Rule 7.5?
0.150 ft
0.250 ft
0.200 ft
0.350 ft
A Class A survey along a tidal bayou must establish the mean high water elevation that controls the boundary. What does Rule 7.5 require for that elevation and for bearings?
±0.20 ft for the elevation and ±3 minutes for bearings
±0.10 ft for the elevation and ±2 minutes for bearings
±0.01 ft for the elevation and ±10 seconds for bearings
±0.05 ft for the elevation, based on NGVD or NAVD, and ±1 minute for bearings relative to the source
A surveyor used State Plane Coordinates to control a boundary survey. Which item is NOT among the Rule 7.3 plat requirements for State Plane Coordinates?
The PDOP value recorded at each boundary corner
The combined or correction factor
The convergence angle
The coordinates of at least two reference points relevant to the survey
Sections you finish are checked off in the contents.