GPS & markers

Average and remeasure a GPS position

Multiple fresh GPS readings are filtered, robustly weighted and combined into a marker position with a transparent quality assessment.

Overview

Why use multiple readings?

A single GPS fix is a snapshot. Satellite geometry, obstruction and reflected signals can shift it. A series reveals the spread and reduces the influence of isolated outliers.

Normal position display

For a quickly available map position, MapTools processes current GPS, network and passive Android locations. A last location no older than 30 seconds can speed up startup. This is not a statistical survey.

Average position

The measurement starts with an empty series and accepts only new fixes from Android's GPS provider. Old, duplicate, invalid or insufficiently accurate fixes are rejected.

Remeasure position

An existing marker can be measured again in further sessions. The new session, the robust combined result and the change in estimated accuracy remain clearly separated.

In practice

How a measurement works

The measurement completes only when minimum duration, minimum usable fix count and stability criteria have all been met.

  1. Choose the locationRemain at the point, preferably with open sky and away from strongly reflecting surfaces.
  2. Choose a profileShort, Standard or Long sets the minimum duration, required fix count and maximum waiting time.
  3. Remain stillMapTools collects fresh GPS fixes, checks accuracy and movement, and displays progress.
  4. Review the resultUsed fixes, reported accuracy, P68, P95, center stability and quality expose the underlying data.
  5. Save the markerAn initial measurement creates a marker. After remeasurement, the user decides whether to apply the combined result.
ProfileMinimum durationMinimum used fixesMaximum duration
Short15 s1030 s
Standard60 s3090 s
Long180 s90300 s

Technical details

How MapTools calculates the position

The method is not a simple mean of latitude and longitude. It works in a local metric frame and combines accuracy weights with robust statistics.

1. Input validation

Invalid coordinates or accuracy values, fixes from before measurement start, duplicate timestamps and fixes with reported horizontal accuracy above 25 m are rejected.

2. Stationary check

Movement is detected when at least two of the latest three speeds exceed 1.2 m/s. With at least ten fixes, the centers of the first and last five are also compared. Limit: max(6 m; 1.5 × a_med).

3. Convert to metres

WGS84 coordinates are converted to Earth-fixed ECEF coordinates and then to a local east-north plane (ENU). Distances and weights can therefore be calculated correctly in metres.

4. Robust initial center

The separate medians of east and north form the initial estimate. The radial distance rᵢ from every fix to that center is then calculated.

5. Detect outliers

MapTools calculates MAD = median(|rᵢ − median(r)|). Outlier limit: max(3 m; median(r) + 3 × 1.4826 × MAD).

6. Weight by accuracy

For reported radius aᵢ, wᵢ = 1 / max(aᵢ; 1 m)². The ratio between the strongest and weakest base weight is capped at 4:1.

7. Huber estimate

The center is updated five times. Inside the limit the robust factor is 1; outside it becomes c / r. The limit is c = max(1.5 m; 1.5 × 1.4826 × MAD).

8. Return to WGS84

The weighted ENU center is converted back through ECEF to latitude and longitude. Available altitudes use their median; quality values assess only the horizontal position.

Result

Understanding P68, P95 and estimated accuracy

These values answer different questions and must not be treated as interchangeable.

DisplayCalculationMeaning
Median reported accuracyMedian of the horizontal accuracy radii reported by AndroidThe provider's own estimate. Android generally defines this as a radius with about 68% probability for the individual fix.
P68 spread68th percentile of distances from the robust centerAbout 68% of the observed fix distances are at or below this value.
P95 spread95th percentile of distances from the robust centerAbout 95% of the observed distances are at or below this value. P95 = 4.2 m means roughly 95% of evaluated fixes were no more than about 4.2 m from the center.
Center stabilityDistance between robust centers of the first and final thirdA series is stable at no more than max(3 m; 0.75 × a_med) and P95 ≤ 25 m.
Estimated accuracy radiusmax(P95_combined; median(a_session))MapTools uses the less favorable value so an unusually tight cloud cannot override device-reported uncertainty.

Percentile calculation

Radial distances are sorted. With n values, the position is p × (n − 1), using p = 0.68 for P68 and p = 0.95 for P95. MapTools linearly interpolates between neighboring values.

Important interpretation

P95 describes observed spread, not a guaranteed 95% confidence radius around the true position. A tight point cloud can be shifted as a whole. Absolute accuracy is not proven without an independent reference.

Assessment

Quality levels and accuracy comparison

The quality level is based on the estimated radius. Multiple independent time windows improve the strength of the assessment.

QualityEstimated radius
High≤ 5 m
Good> 5 m / ≤ 10 m
Fair> 10 m / ≤ 20 m
Poor> 20 m

One session

For the combined overall assessment, MapTools awards the highest level only after two independent time windows. A single session is rated Good at best.

Improved or degraded?

A change within max(0.1 m; 0.01 × R_previous) is unchanged. Larger differences are reported by amount and percentage.

Avoid false precision

Many decimal places in coordinates do not imply matching measurement accuracy. Radius, spread, stability, environment and independent windows matter.

Multiple series

Time-separated remeasurement

Separate series can capture different satellite constellations and reception conditions, revealing effects hidden in one session.

90-minute windows

A session starting less than 90 minutes after the current window began belongs to that window. A later session opens a new one. A marker can retain up to 32 sessions.

Two-stage combination

Sessions are first robustly combined within each window, then window centers are combined. Outlier rejection also applies at three or more windows. A session center uses at least the larger of P68 and median device accuracy.

Professional reference

Garmin recommends four to eight samples at least 90 minutes apart for careful waypoint averaging. MapTools adopts the idea of varying satellite constellations but uses its own method and is not Garmin-certified.

ActionWhat is storedMarker position
Save and apply positionThe new session is added to history.The marker receives the robust combined result of all sessions.
Save without applying positionThe session and combined result remain stored.The visible marker position remains unchanged.
Discard measurementThe new session is not stored.Position and previous history remain unchanged.

No latest-session-only shortcut

Applying the combined result uses every stored session. Alternatively, the new session can be kept for documentation only or discarded completely.

Context

Limits, privacy and practical guidance

Position averaging improves statistical assessment but does not replace suitable reception conditions or independent checks for critical work.

Suitable conditions

  • Prefer open sky.
  • Keep away from facades, rock walls, dense canopy and vehicle structures.
  • Remain at the point during a session.
  • Remeasure important markers later.

Technical limits

  • Multipath reception can shift an entire series.
  • Android accuracy is a device estimate.
  • Altitude is usually less accurate and is not part of the horizontal quality level.
  • Legally relevant surveying may require geodetic equipment and prescribed procedures.

Data processing

Raw fixes are processed in memory during calculation. Only summarized session data and marker history are stored permanently. Background measurement uses a visible foreground-service status notification.

Sources

Technical sources and references

Sources are listed as plain text. They provide context for terms and methods; the specific combination and parameters are the ArxSilex MapTools implementation. Status: July 2026.

  • Garmin Customer Support: “Waypoint Averaging Information for Outdoor Handhelds”.
  • Garmin Support: “Waypoint Averaging on the Montana 700 Series”.
  • Android Developers: “Location API reference”, Location.getAccuracy().
  • Esri: “ArcGIS Field Maps, Configure the map”, “GPS averaging”.
  • Esri: “ArcGIS Field Maps, Capture”, “GPS averaging”.
  • NIST/SEMATECH: “e-Handbook of Statistical Methods”, Measures of Scale, Detection of Outliers and Percentiles.
  • Peter J. Huber: “Robust Estimation of a Location Parameter”, The Annals of Mathematical Statistics, volume 35, issue 1, 1964, pages 73–101.
  • National Geospatial-Intelligence Agency: “Department of Defense World Geodetic System 1984, Its Definition and Relationships with Local Geodetic Systems”, NGA.STND.0036.

Manual

Related manual pages

Position averaging can be combined with marker work, coordinate checks and target navigation.

Back to manual Coordinates Tools menu Target navigation