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D. The North American Datum

1. History

The evolution of the North American datum is interesting, a bit convoluted, and a continuing process. Expansion of the spatial data user community and more accurate measurement technology increases pressure on the control network to meet ever greater accuracy needs. What used to take decades between datum refinements is reduced to years.

This chapter highlights major events in the North American datum history. For greater detail, the reader is directed to reference list included in Chapter A.

Note: Click any map to see a larger version 

New England Datum - 1879

US Standard Datum - 1901

 
Figure D-1
Control Network in 1901
“A Potpourri of Geodetic and Other Surveying Items”, Joseph F. Dracup
Presented at the WSLS Annual Institute Jan 1977

 

Figure D-2
Control Station Meades Ranch
NGS Photograph Archives

North American Datum - 1913

North America Datum of 1927 (NAD 27) - 1932

 
Figure D-3
NAD 1927 Network
“North American Datum of 1983”, Charles R. Schwartz, Editor,
NOAA Professional Paper NOS 2, Dec 1989

North America Datum of 1983 (NAD 83) - 1986

 
Figure D-4
North American Control Network in 1969
“North American Datum” National Academy of Sciences, 1971
 
Figure D-5
NAD 1983 Network
NGS Website

2. Paradigm Shift

a. What happened in 1983? 

Up though NAD 27, the Clarke 1866 ellipsoid was used and regionally fit. At time of the adjustment, the network contained approximately 25,000 control stations. Because there were two unknowns for each station (latitude and longitude), an adjustment would require solving around 50,000 simultaneous equations. Consider the state of computing technology in the late 1920s and the challenge this posed. Dr. William Bowie, Division of Geodesy chief at the time, devised a method to partitioned the data into smaller sections for adjustment. For an explanation of the Bowie Method, see Chapter 2 of NOAA NOS Professional Paper 02 "North American Datum of 1983". The document is available in the Publications section of the NGS website.

By the 1980s, the number of control stations had increased by an order of magnitude. There was pressure on two fronts to update NAD:

It was decided that the best approach was a redefinition (different ellipsoid and fit) and readjustment to create a new datum.

The process started in the mid 1970s with a target completion date of 1983. Paper based measurements records had to be verified and hand coded (this was before scanners) and database management systems designed from scratch. Additional fieldwork was required to strengthen network geometry or replace lower quality measurements. With 270,000 stations (540,000 simultaneous equations) it was estimated that rounding errors would be an issue even with the available state-of-the-art mainframe computers ("Prediction of Roundoff Errors", Peter Meissi, ASCM Bulletin, No. 60, Feb 1978). That the completion date was missed by only three years is understandable.

b. Ellipsoids

Table D-1 shows the ellipsoids and their defined parameters used for NAD 27 and NAD 83.

Table D-1
NAD Ellipsoids
 
Datum Ellipsoid Fit  Fixed parameters
NAD 27 Clarke 1866 North America  a = 6,378,206.4 m     b = 6,356,583.8 m 
NAD 83 GRS 80 Global  a = 6,378,137 m       1/f = 298.25722 21008 8 

c. How much did positions change? 

Figure D-6 shows the final position shifts from NAD 27 to NAD 83 for CONUS.

 
(a) Latitude, meters 
 
(b) Longitude 
Figure D-6
Position Shifts, NAD 27 to NAD 83 
“North American Datum of 1983”, Charles R. Schwartz, Editor,
NOAA Professional Paper NOS 2, Dec 1989

 

In the Aleutian Islands latitude and longitude shifts were as much as -160 m.

 One of the greatest challenges in NAD 83 adoption was converting NAD 27 positions without introducing unacceptable errors. The shift maps show there was no uniform latitude or longitude change between the datums. NGS developed conversion software but it was understood that, at best, they provided only mapping quality positions.


3. So We're Done, Right?

The Global Positioning System not a production system at the time NAD 83 was being developed. The satellite constellation was sparse, receivers rare and expensive, and usable observation windows short. GPS observations (except for a literal handful) were not included in the NAD 83 adjustment.

Wisconsin's Department of Transportation (WIDOT) was an early adopter of GPS. After NAD 83 completion, WIDOT measured GPS baselines between adjusted control stations. First order points from different triangulation chains were used to compare computed with measured baselines. WIDOT found that the GPS baselines were more accurate than the control network. As with NAD 27, accurate GPS measurement would have to be degraded to fit the less accurate NAD 83 control network. WIDOT decided to densify the state's control network, measure it with GPS, and readjust it to NAD 83. Competed in 1991, the network was named the Wisconsin HPGN (High Precision Geodetic Network), Figure D-7.

 
Figure D-7
Wisconsin HPGN 

 

Because it was a readjustment of the NAD 83, it was referred to as NAD 83 (91) and the original as NAD 83 (86). Over time, aditional stations were added or replaced and parts of the network remeasured. The entire network was readjusted in 1997 creating NAD 83 (97). In the meantime, Minnesota did something similar and readjusted their network in 1996 creating NAD 83 (96).

See where this is headed?

More states began densifying, measuring, and readjusting their own networks creating state HARNs (High Accuracy Reference Networks). A problem caused by individual HARNs was where they abutted to other state networks. Because they were individually readjusted, there were inconsistencies across the networks.

When enough states had created individual HARNs, NGS decided to incorporate them all into a single readjustment. This became NAD 83 (NSRS2007). Part of this adjustment involved removing older lower quality measurements. The network was readjusted again creating NAD 83 (NSRS2011) with emphasis on GPS measurements. Many stations measured with only older conventional technology were not included in this readjustment. Each readjustment is a refinement of NAD 83, not a new datum.

Positions between readjustments did change, but not as significantly as the NAD 27 to NAD 83 (86) changes. Table D-2 shows the average position shifts in meters between readjustments in Wisconsin. The biggest change is from NAD 27 to NAD 83 (96). Subsequent changes were considerably smaller.

Table D-2
Position Shifts in Wis
 
Shift North (m) East (m)
NAD 27 to NAD 83 (86)  -2.231 -9.987
NAD 83 (86) to NAD 83 (91)  +0.155 +0.057
NAD 83 (91) to NAD 83 (97)  +0.014 -0.029
NAD 83 (97) to NAD 83 (2007)  0.000 +0.008
NAD 83 (2007) to NAD 83 (2011)  -0.002 +0.018 

 

Each datum readjustment is referred to as a datum realization. Not all control stations were included in all realizations. Stations only with older less accurate measurements were removed and more GPS-based stations added to maintain reference network integrity.

NGS plans to replace NAD 83 and NAVD 88 with a single 3D datum by 2022. More information is on their New Datums page.

Stay tuned...

 

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