Hi - name is Andy, and whilst not (and never will be) a professional land surveyor, I have a significant interest in it, and strong background in maths / navigation / computing (e.g. programming and Excel).

We have bought land in WA, near Oroville, on a HOA consisting of 20 acre lots.  The HOA was set up in the 1990s, and the definitive boundaries etc are from PLSS Surveys in the 1990's.  Ultimately my aim is to transfer the surveys, or at least the ability to for areas of interest, to KML / Google Earth.  I have made fair progress so far, but areas of my poor understanding leading to obvious errors - consistent in an area, so confident that solving the errors has a prospect of success.

Rather than ask a lot of questions at once, I'll ask one area at a time with my (poor) understanding and issues I've found.

PLSS Bearings

13395235259?profile=RESIZE_710x

The PLSS is WA R40N 28E Section 5 here, and the image above is the North edge (right on the Canadian border).

The N Edge survey gives a bearing of N 88 55 57 E which is 88.93250deg and 5323.60' - which is 5324.00' after Survey -> Ground distance correction on the survey [1.00007431].  Online tools give the Section as:

13395245466?profile=RESIZE_400x

and in 'True Bearing' terms my maths gives the bearing (NW->NE) as 89.87566deg and 5274.92'.

The question(s) I guess come down to whether the Section corners are mathematically accurate, or where a surveyor a long time back placed the 'monuments'?

The survey states 'Basis of Bearings WA State Plane Coordinate System NAD 83 (91) 4601 WA North Zone'.  Online searches give some hits, but not enough for me to understand the basis for the survey bearings.  Is there a bearing correction I should apply, and if so where can I find it/work it out?

The distances are also in error.  It might be the survey distance / bearings are basically not accurate enough, but the precision to which they are given seems unlikely?

I have learned of 'Closure' when applied to a closed ploygon, and for 4 sided Lots is typically giving errors of 0.01' which is of course (very) accurate.

Any basic help much appreciated - I do understand that for the prfessionals this will be noddy stuff cool

Thanks
Andy

You need to be a member of Land Surveyors United - Surveying Education Community to add thoughts!

Join Land Surveyors United - Surveying Education Community

Email me when people reply –

Replies

  • Survey Legend

    Great question, Andy! Welcome. It sounds like you have a strong technical grasp of the concepts, and you're asking exactly the right questions about how PLSS surveys work in practice. Let’s break it down step by step.

    1. PLSS Bearings and Monument Placement

    You're absolutely right to question whether the section corners are "mathematically accurate" or if they are defined by where the original surveyor placed the monuments. The answer is: the monuments control. In the PLSS (Public Land Survey System), monuments placed by the original government surveyors (or their officially recognized replacements) are the definitive legal boundaries—not the mathematically derived locations.

    Even if later surveys use GPS or state plane coordinates, the official survey bearings and distances are based on where those original monuments were placed, even if they don’t perfectly match modern coordinate calculations. In fact, the original PLSS surveys, especially in rough terrain, often had significant errors, but their placements became legally binding.

    2. Understanding Your Bearing Differences

    • The bearing from the survey is given as N 88°55'57" E.
    • Your mathematically calculated bearing (NW to NE) is 89.87566° (which is closer to 89°52'32").
    • That’s about 0.94° difference—which is not insignificant.

    This difference could be caused by a number of factors:

    • The survey may not be using True North, but a grid north from the Washington State Plane Coordinate System (NAD83(91)).
    • The convergence angle (difference between True North and Grid North at your location) could be affecting the reported bearing.
    • Small local variations in how surveyors adjusted for magnetic declination (if referenced) or local distortions.

    How to Correct for It?

    • Check the convergence angle for WA North Zone (NAD83) at your location. You can compute this using GIS tools or a NAD83 grid-to-ground calculator.
    • The bearing might also have been referenced to Geodetic North vs. Grid North, which causes differences.
    • If using State Plane Coordinates, apply the grid-to-ground correction if necessary.

    3. Distance Discrepancies

    • Your survey distance (after ground correction) is 5324.00'.
    • Your mathematically computed distance is 5274.92'—about a 49.08' difference.

    Why the Distance Error?

    1. PLSS Sections are Not Perfectly 5280' per Side PLSS sections were originally meant to be 1 mile per side (5280’), but in reality, sections often deviate due to:

      • Earth curvature adjustments.
      • Surveyor measurement errors (especially in older surveys).
      • Fractional sections along the northern tier due to convergence of meridians.
    2. Ground vs. Grid Distance The survey applies a scale factor of 1.00007431, meaning it converts grid distances to ground distances. This correction factor accounts for how state plane coordinates are mapped on a 2D grid while the actual ground is curved.

    3. What Should You Do?

      • Verify if you’re using grid or ground distances in your calculations.
      • If using State Plane Coordinates, make sure to apply the same scale factor when converting distances.
      • If your source data is from an online tool, check if it assumes an ideal 5280' section or uses actual surveyed data.

    4. What About Closure?

    You mentioned “closure” in four-sided lots. If you’re getting 0.01' closure errors, that’s excellent accuracy. However, PLSS sections aren’t perfect rectangles, and section lines often have jogs due to:

    • Fractional lots (especially in northern/western tiers).
    • Adjustments for convergence.
    • Original surveyor errors that became legal definitions.

    Final Thoughts

    • Monuments control—not computed coordinates.
    • Bearings can be affected by grid vs. geodetic north, convergence angles, and datum reference.
    • Distances can be affected by PLSS inaccuracies, ground vs. grid scale factors, and historical surveying errors.

    Next Steps for You

    • Try computing the convergence angle for your section in WA North Zone.
    • Double-check if your tools are using Grid North, True North, or Geodetic North.
    • Use State Plane coordinate transformations (e.g., from NOAA’s NGS tools) to convert your survey bearings and distances to KML properly.

    Let me know if you need a deeper dive into any of these areas!

This reply was deleted.

Answer As your Facebook Page

Global Surveyor Forum

Latest Discussions by Category

Add Your Expertise

How to Utilize Surveyor Forums

How to use Forums
Our forums on Land Surveyors United are here to be used as much for finding help with problems in the field as the are for you to express your opinions on anything that has to do with land surveying in general. Feel free to share anything that is on your mind, as long as it isn't meant to damage another member's reputation. Please keep it clean and help insure that everyone has the opportunity to enjoy the benefits of being part of a community that grows together.

We are committed to allowing freedom of expression for all of our members, and that includes maintaining a safe space for people with opposing views to express themselves. We get posts from all over the country and even the globe, so needless to say, people come with different viewpoints on lad surveying practices and processes. We see this diversity and variety as a real strength-- dialogue and debate are an integral part of the educational process, as well as an important tool in exploring different sides of complex issues.

All Community Hubs inside the community have their own forum for asking specific questions to other surveyors, by location, equipment type, etc.

Global Forums

Blog Topics by Tags

Monthly Archives