With the last generation of trained geodesists either retired or getting ready to retire, we are at a critical stage of not being able to meet the geospatial needs of the future,” wrote David B. Zilkoski in his Nov. 1 Survey Scene column on our website. Few people, he pointed out, realize our $1 trillion geospatial economy — from precision agriculture to smart cities, from UAVs to location-based services — depends on geodesy. A collapse of geodesy would also harm our efforts to monitor rapid changes in the Earth’s surface due to sea-level rise, the deformation of tectonic plates, and temporal changes in the Earth’s water reservoirs.
Federal agencies, Zilkoski recalled, used to send staff to be trained in geodesy because they needed geodesists for such significant projects as the readjustment of the U.S. national horizontal and vertical geodetic networks. Now, while U.S. federal agencies still require this expertise to develop and refine geodetic models and tools, so do major U.S. companies for everything from routing delivery trucks to controlling earth-moving equipment to guiding tractors.
A January 2022 white paper by Mike Bevis and others titled “The Geodesy Crisis” reported that China has more geodesists than the rest of the world combined, and the number of Ph.D. geodesists in the entire Department of Defense, including the National Geospatial-Intelligence Agency (NGA), is approaching zero.
I discussed the geodesy crisis with Everett Hinkley, who works for the federal government, serves as a subject-matter expert on several high-level boards, and dubs himself a “concerned citizen geodesist.”
Matteo Luccio: How did we get here? Was it due in part to the success of GPS?
Everett Hinkley: The factors include:
1. In the early 1990s, the U.S. government largely disinvested in academic research and academic sponsorship in geodesy. Without student sponsorship, the few university programs that produced geodesy experts withered on the vine.
2. Math and science skills in U.S. public schools have declined.
3. More subtly, there was a subliminal and misguided notion that “Now that we have GPS, why do we need to continue to improve our geodetic models?”
ML: If left unaddressed, in what fields or applications will the crisis manifest first?
EH: In areas where precise positioning is critical: cadastral mapping, self-driving vehicles, sea-level rise (a growing danger) and others. The effects will be felt incrementally, at least at first.
ML: Are some geographic regions of the United States particularly vulnerable to some effects of the crisis due to high subsidence, drift or other ground movements/changes?
EH: Yes. The two areas that will show the first signs of divergence between actual and assumed locations are those that are tectonically active (both horizontally and vertically) and low-lying coastal ones.
ML: Besides funding, what could entice college students to enter the field?
EH: Basic marketing is needed by the geospatial community at large. We need to reach out to math “stars” in high school and let them know that pursuing a career in geodesy will guarantee them employment after graduating from college.
Geodesy without math equations: Is that possible? The answer is no, but basic geodetic concepts can be described without using complex math equations.
My previous column addressed the geodesy crisis in the United States. (See also this.) The newsletter was highlighted on LinkedIn (thanks, Jay); more than 235 individuals reacted to the post and there were 25 reposts.
I’m pleased so many people are interested in highlighting the discussion of the inverted pyramid. One reader of my column asked for material for non-geodesists to obtain a better understanding of geodetic concepts.
Geodesy does involve advanced mathematics that may not be familiar to some people. That said, there are various online lessons and tutorials that describe the basic concepts without using complex math equations.
As mentioned in my previous column, geodesy is involved with anything related to positioning. For example, have you ever wondered how your phone appears to know where you are on a digital map while you’re walking or driving down the street? Geodesy provides the foundation for all geospatial products and services.
Image: Dave Zilkoski
Location on a Map
A goal of mine has always been to get individuals (young and old) interested in obtaining a better understanding of geodesy. In my opinion, high schools and colleges should include courses that explain to students how their phones know where they are, why the Earth is not a sphere, how the movement of tectonic plates are measured and why, basic concepts of how satellites orbit the earth, and how geographic coordinates are important to making maps and their use in establishing an accurate geographic information system (GIS).
A good first step is to get high school teachers interested in the topic. When I was employed by the National Geodetic Survey (NGS), a group of us worked with local high school students to map their football field using GPS. They acquired observations in the field, and then downloaded the coordinates into their GIS. The teacher was instrumental in integrating the application into the students’ curriculum.
A reader of my last column suggested I provide concrete, meaningful things to lower the barrier of entry. I’m not exactly sure how to lower the barrier of entry — geodesy does require an individual to have a certain level of mathematical knowledge.
Since I retired from NGS, I have helped homeschool my eight grandkids. The one thing that I’ve found is that young students apparently either “like” math or they “hate” math. At least with my grandkids, there doesn’t seem to be an in between.
At this moment, I don’t believe any of my grandkids will become geodesists; well, actually, there’s still a possibility that one may have a “love for mathematics.” It appears that most students don’t really see a reason to learn math. They can use their phones or calculators to do what they need.
The reader suggested that the geodesy community could publish free, high-quality, web-based resources for the public. The reader made the following suggestions:
A set of 3D-printable designs for rudimentary survey tools; alternatively, how to acquire/build the tools in the most economical way possible. Even something that would be considered a “toy” that can be given to a child would be good.
A list of software tools (preferably open source) relevant to the subject and how to use them in this context.
Introductory material intended for young audiences.
This column will provide some free online lessons and tutorials that describe the concepts associated with geodesy and surveying. Some of the online videos are at a level for young audiences, and some are aimed at individuals with more advanced education. Let’s start with the young audience.
Lessons for Kids
The website “Get Kids into Survey” provides materials focused on kids. The website states: “Bringing young people into the exciting world of survey through pioneering content and engaging experiences.” See the boxes titled “Get Kids into Survey Website,” “Get Kids into Survey Website – Poster Page,” and “Get Kids into Survey Website – World Without Surveyors Poster.”
Get Kids into Survey Website
Screenshot: Get Kids lnto Survey
Get Kids into Survey Website – Poster Page
Screenshot: Get Kids into Survey
Get Kids into Survey Website – World Without Surveyors Poster
Screenshot: Get Kids into Survey
The GPS.gov website has lessons describing GPS that are designed for kids. One lesson introduces the concept of GPS trilateration. The lesson explains how GPS positioning works on two basic mathematical concepts:
trilateration, which literally means positioning from three distances, and
the relationship between distance traveled, rate (speed) of travel, and amount of time spent traveling.
This was developed by NGS for a National Science Teachers Association Conference. You can download both the instructions and map.’
GPS Trilateration Lesson
Screenshot: GPS.gov website
The following are several videos that describe the concept of trilateration.
This video explains trilateration and how the GPS ranges (distances from the satellite to the receiver) are computed.
This video uses distances on a map to describe trilateration.
Here is a detailed description of trilateration and why you need the fourth satellite.
Now, let’s look at some free online lessons and tutorials that describe the concepts associated with geodesy. As previously stated, some of the online videos are at a level for young audiences, and some are aimed at individuals with more advanced education. Most of them describe the concepts using diagrams with narratives, and without complex math equations. NGS provides a number of videos that can be downloaded here.
NGS, in partnership with the COMET program, has developed a series of self-paced lessons on geodetic and remote sensing topics. Users have to create a free user account to gain access to the courses. Users will have the option of printing out a certificate upon successful completion of a quiz at the end of each lesson.
The lessons are rated by skill level ranging from “Suitable for Non-Scientists” to “Requires some Prior Knowledge of the Topic.”
The COMET program provides teaching and training resources for the geoscience community. All of the content is completely free, but an account does need to be created. The COMET program is part of the University Corporation for Atmospheric Research (UCAR) Community Programs.
NGS Online Lessons
Screenshot: NGS Website
NGS and COMET Educational Videos
NGS also has a website that contains educational videos. Again, NGS, in partnership with the COMET Program, has developed short videos on topics related to geodesy and mapping.
NGS Educational Videos
Screenshot: NGS Website
This link provides a tutorial on “Why is geodesy the framework behind all mapping and navigation?” The article states. “If you think about it, the whole field of geomatics lies on the shoulders of geodesists. Because it’s really geodesy that is the framework behind all surveying, mapping and navigation.”
What Is Geodesy?
Screenshot: Gisgeography Website
NASA’s Eratosthenes Estimating the Circumference of the Earth by Looking Down a Well
NASA offers a video titled “Looking Down a Well: A Brief History of Geodesy.” This video explains how it all started when Eratosthenes estimated the circumference of the Earth by looking down a well. It highlights how, over time, the field of geodesy has expanded and evolved dramatically, and how NASA uses technology such as radio telescopes, ground surveys, and satellites to contribute.
NASA’s Video on Looking Down a Well
UNAVCO Measures Plate Tectonics with Geodesy
UNAVCO, a non-profit university-governed consortium, facilitates geoscience research and education using geodesy. UNAVCO has a video that describes the tectonic plates and how geodesists measure their movements. Another UNAVCO video describes what geodesy actually is, as well as geodesy’s application in our everyday lives (UNAVCO’s 2017 USIP geoscience video production). Visit UNAVCO’s website to learn more about its mission.
Geodetic Software Tools
NGS provides tools that focused on meeting the needs of the surveying and mapping community. A few may be of interest to non-geodetic individuals. A map tool can be used to locate marks near someone’s location.
Production NGS Map
Screenshot: NGS Website
UNAVCO also has interactive tools that may be of interest to geospatial users. See the boxes below titled “UNAVCO Interactive Tools” and “UNAVCO Spotlight.”
Now, let’s address the 3D printing of surveying equipment and tools. I’m not familiar with using a 3D printer, but I found several websites that provide information on surveying equipment. Some of the sites provide free information and others charge for their services. See the websites 3D Printer of Total Station and 3D Printer of GNSS Equipment.
3D Printer of Total Station
Screenshot: CULTS Website
3D Printer of GNSS Equipment
Screenshot: 3dmdb Website
I’m pleased a lot of people are interested in highlighting the discussion of the inverted pyramid. As commented by several individuals in the LinkedIn responses, the surveying and remote sensing (which includes photogrammetry) communities are experiencing the same crisis as geodesy. In my opinion, they are all related, because the surveying and mapping community provides tools other disciplines use.
As stated in my last column, the surveying and mapping community can do the following to help:
actively market geodesy in high schools as a rewarding career for the math stars before college entry
build back, support and sponsor geodesy programs at select universities; this support needs to be strategic with backing from the highest levels of the U.S. government
encourage U.S. government support in the form of grants, professional development of staff, and research collaborations/affiliations.
As previously mentioned, one of my goals has always been to get individuals (young and old) interested in obtaining a better understanding of geodesy. I hope this column helps to whet the appetite of some individuals to obtain a better knowledge of geodesy. Maybe even some high school and college teachers will introduce geodetic concepts in their lectures.
Writing about the geodesy crisis is a good first step, but we need to find champions that can influence high school and university teachers and administrators, federal and state government program managers, and congressional representatives.
Please feel free to email me at [email protected] if you have suggestions on how to lower the barrier of entry into the world of geodesy.
On Aug. 5, the National Geodetic Survey (NGS) stated it will be updating the NOAA CORS to be aligned with the latest International Terrestrial Reference frame, ITRF2020 (see below). As stated in the announcement, NGS will soon compute a third multi-year continuously operating reference station (CORS) solution, MYCS3.
The last multi-year CORS solution, MYCS2, was performed by NGS in 2019. I discussed the MYCS2 in my February 2019 and April 2019 columns. This new multi-year CORS solution will be important to the 2022 modernized National Spatial Reference System (NSRS), because NGS will establish a strict mathematical relationship between the 2022 NSRS frames and the ITRF2020 frame. This will allow direct access to the NSRS (NOAA Technical Report NOS NGS 67).
NGS Aligns National System to Global Reference Frame
August 5, 2022
The International Global Navigation Satellite System (GNSS) Service, which provides GNSS data products globally, recently released a new GNSS-only version of the International Terrestrial Reference Frame. This provides GNSS users access to the reference frame through coordinate functions for a global set of reference stations. In response, NGS will soon compute the multi-year Continuously Operating Reference Station (CORS) Solution 3, which will modernize the National Spatial Reference System. Aligning the National Spatial Reference System with the updated global reference frame will allow greater access for the global community of scientists, educators, and commercial users of location science.
For more information, contact: Phillip McFarland
As in the past, the multi-year CORS solution will mean that the NOAA CORS coordinates will be updated to be consistent with the latest International Terrestrial Reference Frame of 2020 (ITRF2020). The International GNSS Service provides information about its GNSS products and services. Readers can find information on the latest International Terrestrial Reference Frame 2020 here. This column will provide basic information on the ITRF2020. Please note: NGS stated that it will soon start computing the third multi-year CORS solution, but — as of October — all NOAA CORS coordinates are still based on MYCS2 and provide coordinates in ITRF2014 epoch 2010.00 and NAD 83 (2011, MA11, PA11) epoch 2010.00. As in the past, NGS will provide advance notice before publishing the results of its third multi-year CORS solution.
A document on the ITRF website stated the ITRF2020 is expected to be an improved solution compared to the previous solution, ITRF2014. It listed several innovations introduced in the ITRF2020 processing.
ITRF2020 is the new realization of the International Terrestrial Reference System. Following the procedure already used for previous ITRF solutions, the ITRF2020 uses as input data time series of station positions and Earth Orientation Parameters (EOPs) provided by the Technique Centers of the four space geodetic techniques (VLBI, SLR, GNSS and DORIS), as well as local ties at colocation sites. Based on completely reprocessed solutions of the four techniques, the ITRF2020 is expected to be an improved solution compared to ITF2014. A number of innovations were introduced in the ITRF2020 processing, including:
The time series of the four techniques were stacked all together, adding local ties and equating station velocities and seasonal signals at colocation sites;
Annual and semi-annual terms were estimated for stations of the 4 techniques with sufficient time spans;
Post-Seismic Deformation (PSD) models for stations subject to major earthquakes were determined by fitting GNSS/IGS data. The PSD models were then applied to the 3 other technique time series at earthquake colocation sites.
The box below provides a good summary of the International Reference Frame and why it’s important to the scientific community as well as the surveying and mapping community. Readers can download the article from the June 2022 International GNSS Service Issue 4 newsletter. Users also can sign up to receive notices and newsletters from the International GNSS Service.
What is the current rate of sea level rise in different regions of the globe? How does our Earth deform under the effect of plate tectonics, seismic phenomena, or the melting of ice caps? How the Earth’s center of mass is varying? How to determine the position of a point on the surface of a constantly deforming Earth and compare it to positions estimated decades apart? The answers to these fundamental questions for understanding the dynamics of our planet require the availability of a global, long-term stable terrestrial reference frame, but preferably a standard reference so to ensure interoperability and consistency of various measurements collected by sensors on the ground, or via artificial satellites. The International Terrestrial Reference Frame (ITRF) is the standard reference recommended by a number of international scientific organizations, including the International Union of Geodesy and Geophysics (IUGG) and the International Association of Geodesy (IAG) for earth science, satellite navigation and operational geodesy applications. The ITRF is an international effort that is built on the investments of space and mapping agencies, universities and research groups in operating geodetic observatories, archiving and analyzing the collected geodetic observations to derive not only the ITRF, but also critical geodetic products for science and society.
The ITRF integrates and unifies technique-specific reference frames provided by the four IAG’s international services of space geodetic technique (DORIS/IDS, GNSS/IGS, SLR/ILRS, VLBI/ IVS). It is supplied to the users in the form of temporal coordinates of more than 1500 stations, Earth Orientation Parameters, as well as parametric functions describing nonlinear station motions: seasonal signals due to mainly loading effects and post-seismic deformations for sites subject to major earthquakes. It is necessary to regularly update the ITRF (approximately every 5 years) in order to benefit from continuous observations so to improve its accuracy, considering station position temporal variations due to geophysical phenomena.
The ITRF is maintained by a research group at IGN-France and IPGP (Institut de Physique de Globe de Paris), and whose new release called ITRF2020 was published on April 15 and accessible here: https://itrf.ign.fr/en/solutions/ITRF2020. The ITRF2020 brings significant improvements compared to previous achievements: it confirms the estimate of the position of the center of mass of the Earth as it was determined in 2016, but also provides its seasonal variations; it improves the accuracy of the scale of the frame at the millimeter level, which represents a gain in precision of a factor of 8 on the measurement of the size of the Earth (compared to that determined in 2016); it provides a precise quantification of co- and post-seismic displacements caused by devastating earthquakes, such as that of Sumatra in 2004, Chile in 2010 and Japan in 2011. The IAG Services rely on the ITRF to align their geodetic products to it, and therefore disseminate it widely among the various users. In particular, using the IGS products, such as the orbits, allows a universal access in space and time to the ITRF.
As stated in the article by Zuheir Altamimi, ITRF2020 involves IAG’s international services of four space geodetic techniques: DORIS/IDS, GNSS/IGS, SLR/ILRS, VLBI/ IVS. Computing an International Terrestrial Frame is very complex and requires analyses of difference types of geodetic and geophysical data. It is beyond the scope of this column, but online is more detailed technical information.
For this column, I downloaded the station lists from the four space geodetic techniques and provided a few plots that depict the location and velocities of these sites. The box below depicts the location of the space geodetic techniques around the world. As indicated in the plot, some locations have more than one technique collocated at the same site.
Plot of the Four Different Space Geodetic Techniques
Image: Dave Zilkoski
The following plots depict the locations using each space geodetic techniques: GNSS sites, DORIS sites, SLR sites and VLBI sites.
Plot of GNSS Sites
Image: Dave Zilkoski
Plot of DORIS Sites
Image: Dave Zilkoski
Plot of SLR Sites
Image: Dave Zilkoski
Plot of VLBI Sites
Image: Dave Zilkoski
The box below shows the location of the techniques in the conterminous United States.
Plot of the Four Different Space Geodetic Techniques in the CONUS
Image: Dave Zilkoski
The plot below depicts the sites in the state of Alaska.
Plot of the Four Different Space Geodetic Techniques in the Alaska
Image: Dave Zilkoski
The images below depict each of the four space geodetic techniques in the conterminous United States.
Plots of the Space Geodetic Techniques by Technique in the CONUS
Plot of GNSS Sites in CONUS Image: Dave ZilkoskiPlot of DORIS Sites in CONUS (Image: Dave Zilkoski)Plot of SLR Sites in CONUS (Image: Dave Zilkoski)Plot of VLBI Sites in CONUS (Image: Dave Zilkoski)
Altamimi’s article on the ITRF2020 stated it is “necessary to regularly update the ITRF (approximately every 5 years) to account for station position temporal variations due to geophysical phenomena.” My February 2022 column discussed the tectonic plates and why is it necessary to account for movement in a geodetic reference frame. As I stated then, coordinates basically change because the Earth’s surface is moving due to the movement of major tectonic plates. See the box titled “What is Tectonic Shift?” for information about why it is called plate movement or tectonic shift. The world’s geodesists understand this and are attempting to manage the changing coordinates by providing a time-dependent component of the international terrestrial reference frame.
Image: National Ocean Service websiteImage: National Ocean Service website
The box below depicts the horizontal velocity based on the ITRF2020 velocities (downloaded on 08/12/2022).
Plot of the Horizontal Velocity Vectors based on the ITRF2020 Velocities
Image: Dave Zilkoski
The box below depicts the horizontal velocities in the North America. These vectors look very similar to the velocities reported in my February 2022 column.
Plot of the Horizontal Velocity Vectors in North America based on the ITRF2020 Velocities
Image: Dave Zilkoski
For a comparison to North America vectors, the box below depicts the velocity vectors in Europe.
Plot of the Horizontal Velocity Vectors in Europe based on the ITRF2020 Velocities
Image: Dave Zilkoski
They are similar in magnitude, but not in direction. Once again, looking at the map of tectonic plates, North America is located mostly on the North American plate and Europe is on the Eurasian plate.
Australia is on the Indo-Australian plate and has some fairly large horizontal velocities vectors. See the box below.
Plot of the Horizontal Velocity Vectors in Australia based on the ITRF2020 Velocities
Image: Dave Zilkoski
So, what’s the difference between ITRF2014 and the new ITRF2020? The box below provides the 14 transformation parameters from ITRF2020 to ITRF2014. These transformation parameters have been estimated using 131 stations located at 105 sites. See the box “Plot of the Stations used in the Transformation Parameters from ITRF2020 to ITRF2014” for the location of these stations. Notice that the translation values in X,Y,Z are very small (<1.5 mm) between the two reference frames.
Transformation Parameters from ITRF2020 to ITRF2014
X,Y,Z are the coordinates in ITRF2020, and XS,YS,ZS are the coordinates in ITRF2014.
Plot of the Stations used in the Transformation Parameters from ITRF2020 to ITRF2014
Image: Dave Zilkoski
The transformation parameters from ITRF2020 and past ITRFs are provided in the table below. As indicated in the table, most of the changes in X,Y and Z are very small since ITRF2005.
Transformation Parameters from ITRF2020 to Past ITRFs
As previously stated, the third multi-year CORS solution will be important to the new 2022 modernized National Spatial Reference System (NSRS) because NGS will establish a strict mathematical relationship between the 2022 NSRS frames and the ITRF2020 frame. This will allow direct access to the NSRS, according to NOAA Technical Report NOS NGS 67. Again, there will not be any changes to NGS’s NOAA CORS coordinates due to ITRF2020 until NGS completes its third multi-year CORS solution.
Users can receive emails about the latest NGS News by signing up for NGS’s newsletters. These notices will highlight the release of new products, updates to existing services, progress reports for major projects, information about upcoming NGS-sponsored events, and job opportunities at NGS.
Mason and Dixon were pioneers in bringing geodetic astronomy to the American colonies. Through the efforts of the Mason and Dixon Line Preservation Partnership, we can promote this scientific contribution along with the placement of the boundary stones.
Ask surveyors why they became engaged in the profession and why they had continued with it, most will centralize on one aspect: working outside. A career that allowed them to work outside in various environments, solving problems, and being part of a solution is typically the main answer they give.
Depending on the task at hand, a day in the field surveying can take one to several places, including urban/suburban neighborhoods, construction sites, and agricultural/wooded farmland.
View from Mason Dixon Stone #95 looking toward Maryland. (Image: Tim Burch)
My entry into surveying was no different. From residential sites, condominium surveys, boundary and topographic surveys, and construction layout, my early years in surveying covered a lot of territory. While my career eventually took me out of the field and into an office managerial role, and now into leading a professional association, it does not erase the roots of one’s surveying knowledge and experience. Opportunities to be part of the field exercises of a survey, especially a boundary survey, are typically rare and subject to time constraints.
Having spent all my life in the flat topography of Illinois and surrounded by farm fields and urban sprawl, the ability to see for miles over the various horizons was the norm. Coupling these conditions with the Public Land Survey System (PLSS) and use of GNSS technology, it makes for a great environment for the professional surveyor to go about his or her work.
However, the United States covers many areas and contains distinct types of terrain, ecosystems and demographic groups that provide challenges to the surveyor. While I assumed moving from Illinois to the mid-Atlantic region would require adaptation, an opportunity to help retrace and inventory a significant part of American history provided me with an eye-opening experience. It also helped me appreciate the legacy of our surveying forefathers.
A small title dispute
Even in the 17th and 18th centuries, disagreeing title descriptions to common lands was an issue. Reviewing two conflicting legal descriptions describing adjacent land boundaries is the basis of this survey exercise, and thus began a symbolic establishment of a famous boundary line that would lead to political and demographic ramifications in later years.
Here is the situation:
1632: King Charles I grants to Cecilius Calvert (second Lord Baltimore), a royal charter for establishing a new colony north of Virginia to a point “which lieth under the Fortieth degree of north latitude” and westward to the source of the Potomac.
1681: King Charles II (eldest son of Charles I) grants William Penn a royal charter of land between 43° N and a line extending westward from “a Circle drawn at twelve miles distance from New Castle…” to “the beginning of the fortieth degree….”
1682: King Charles II grants to William Penn an additional grant in the Delaware peninsula, which Lord Baltimore claimed.
1685: King Charles II directed his Board of Trade and Plantations to issue an edict ordering that territory to be divide equally, the western half going to Baltimore. This order endorsed Calvert’s claim of a boundary line being 19 miles to the north and providing him claim to Philadelphia. Part of the edict placed a burden on Calvert of providing a survey to authenticate the claim, but the survey was not completed. The boundary would eventually be established 19 miles to the south.
1731-1732: Charles Calvert, the fifth Lord Baltimore, petitioned King George II for help in demarcating the final boundary. He agreed on the final boundaries; however, a commission created to study the legal claims failed to deliver instructions in which a survey would be based upon. Calvert disputed its interpretation and refused to implement the arrangements.
1730s: Ongoing conflict over the disputed land claimed by both people from Pennsylvania and Maryland resulted in Cresap’s War, named after the land agent, Thomas Cresap, hired by Calvert to settle new development. In 1736, Cresap was accused of murder, arrested by Pennsylvania officials and his housed burned was burned down.
1750: After years of bitter controversy, British Lord Chancellor Hardwicke ruled that the southern boundary of Pennsylvania should be a line running westward from the point at which the line dividing the Delaware peninsula was tangential to a circle with a radius of 12 miles from the center of Newcastle.
After 100+ years of boundary disputes and deadly confrontations, in 1760 Frederick Calvert was directed by the English monarch to accept the terms of the 1732 treaty.
Penn-Calvert Land Grant Agreement. (Image: National Archives)
The unfilled challenge, however, was to commission a survey to establish the terms of the agreed-upon boundary. Given that the final location of the Pennsylvania/Maryland border was geographically based (approximate latitude of N 39°43’20”), the surveyors chosen to establish this line would have to be knowledgeable in such calculations.
Finding qualified surveyors in the colonies turned into a bigger challenge than first considered, so the monarchy assigned two surveyors from the Royal Society (full name: Royal Society of London for Improving Natural Knowledge). Enter Jeremiah Dixon (surveyor) and Charles Mason (astronomer) — the field party charged with tackling this monumental deed.
The survey calculations of Charles Mason. (Image: National Archives)
We know them by name for the lines they established in fulfilling the requirements of the boundary agreement, but how they accomplished their task remains a mystery to most. Previous exercises using geographical position determination was used in the sailing and shipping industries with lesser degrees of accuracy. This assignment would require higher levels of accuracy and precision, hence the reason for calling upon Dixon and Mason for the task.
By using geodetic astronomy, they were able to determine accurate (for the period) geographical positions of latitude. Geodetic astronomy is the art and science for determining, by astronomical observations, the positions of points on the earth and the azimuths of the geodetic lines connecting such points. It relies on spherical astronomy, using calculations and techniques developed by the Greeks in the second century A.D.
Besides the knowledge of performing the necessary calculations, the duo would also need to possess instruments to gather the accurate astronomical information. The survey of the agreed-upon line was to be established upon a constant line of latitude. The survey procedures would require turning angles (azimuths) from their meridian westwardly with accuracy not yet utilized in the New World.
Both instruments used for the project were built by John Bird, a well-respected instrument maker in London. The equipment consisted of a zenith sector, capable of measuring to two arc seconds. No field azimuth instrument of this accuracy existed in that era. They also brought a converted telescope/level set up for surveying purposes. This transit has no divided horizontal “plate,” only a tangent screw for slow azimuth motion.
In addition to the instruments and astronomical tables from Greenwich and Paris, the duo relied on a highly precise clock for marking time by the second, which was quite advanced for the period.
Dixon and Mason spent the better part of 1766-67 establishing the agreed-upon line using astronomy via the Bird instruments and taking copious notes documenting their calculations and survey conditions.
Field notes from Jeremiah Dixon. (Image: National Archives)
The markers set along the way —stone monuments chiseled back in England with demarcations — were quite accurately established despite the primitive nature of equipment and methodology for the survey. Mason and Dixon laid out the 233-mile long “West Line” in short segments, following the latitude arc of approximately N39°43’20” for 233 miles westward.
Old line versus new technology
In 2020, the Maryland Geological Survey (MGS) and the Pennsylvania Historical & Museum Commission (PHMC), members of the Mason and Dixon Line Preservation Partnership, began a new initiative to inventory these historic markers and submit them for inclusion into the National Registry. If accepted, the monuments will be part of a program established to help protect and preserve these physical boundary markers that define the boundary between the two states.
Part of the inventory has been the recovery and position confirmation by volunteer surveyors from the Maryland Society of Surveyors (MSS) and the Pennsylvania Society of Land Surveyors (PSLS). Using a geographic information system (GIS) app designed and implemented by the Maryland Geological Survey (MGS), volunteer retracers capture significant attributes about each monument.
While reestablishing the latitude/longitude of the recovered monuments with a smartphone or handheld GPS receiver is sufficient, several volunteers have used high-accuracy surveying equipment to determine a monument’s position.
Incredibly, the variation in the location of a given monument is well within reasonable tolerances from the originally intended installation. Also, because of GNSS technology, we now know more about continental drift. Because of this additional knowledge, 250+ years of tectonic plate movement should be considered when making these positional comparisons.
It should be noted that these monuments are a critical component of the boundary between states, and therefore must be considered senior to many other survey corners set after them. We cannot get lost in the sentimental aspect of recovering the monuments and not acknowledge the fact these points are the gospel when it comes to defining these state boundaries.
A Midwesterner in a ‘foreign’ land
My surveying career, as noted above, was solely in a state that is 200 years old, based upon the PLSS, and does not carry the history of the Mason-Dixon era of line establishment. So, when I was presented with the opportunity to join fellow surveying professionals from Maryland and Pennsylvania in recovering Mason-Dixon monuments for the inventory, I found it an easy event to join.
The planned meeting spot was a local fast food place at 8 a.m. on a sunny Saturday. Being it was in a small town, there were several groups meeting for their normal Saturday coffee klatches. Hearing a group mention “surveying,” I found my opening to identify myself as a fellow surveyor. After opening pleasantries, we settled into a game plan for recovering the targeted monuments for the day.
Planning a day of stone monument recovery along the Mason-Dixon line. (Photo: Tim Burch)
We settled on our assignments and enthusiastically went about our way. My partner for the day was Eric Gladhill, a Pennsylvania professional surveyor and veteran of Mason-Dixon monument retracement. In addition to his volunteer work, he has also authored several articles and a book on his surveying experiences, so it was quickly evident that we were in for a good day.
The first monument was not difficult to get to, and seeing it nearly brought a tear to my eye. Here before me was my first sighting of a Mason-Dixon monument stone, and it was simply amazing. Standing there admiring this 250+ year old stone, hand cut and carved in England and brought here by ship to be specifically placed on this line, I could not help but realize the importance of this monument.
This line, and these stones, were the culmination of two land grants that disagreed with each other more than 400 years ago. We were standing in the same location as a large survey party once did, where they observed the stars to determine an accurate position and directed axmen to clear the untamed forest to establish this important line. While it was a warm and sunny day, it gave me a chill to know we were following in the footsteps of our surveying forefathers.
Mason Dixon Stone #98 – My first recovery! (Photo: Tim Burch)
We continued our way and recovered six more monuments, including a crown stone. Crown stones were placed at 5-mile intervals. The detail in the carvings for most of the monuments was noticeably clear, and is a testament to the craftsmanship of the era’s stonecutters.
Mason Dixon Stone #95, a crown stone. (Photo: Tim Burch)
While locating these historic monuments, were felt we were standing on hallowed ground. The location of this line was important enough that people, both indigenous and settlers, fought for the right to build their lives there.
This was also a line that would be the site of many battles during the Civil War. Observing these monuments drove home the fact that surveyors play important roles in establishing land ownership both today as well as almost 300 years ago.
Mason Dixon Stone #93, a Maryland side marking. (Photo: Tim Burch)
Mason and Dixon were pioneers in bringing geodetic astronomy to the American colonies. Their work has provided inspiration for future generations of geospatial professionals, yet most of the public does not know about that portion of their contribution. Hopefully, through the efforts of the “Mason and Dixon Line Preservation Partnership,” we can promote this scientific contribution of Mason and Dixon along with the placement of the boundary stones.
My heartfelt thanks go out to Eric along with Wayne Aubertin and Rob Kundrick (Appalachian Chapter of the Maryland Society of Surveyors) for allowing me to join them for this task. They gave me a chance to be a true surveyor again and connect the past with the future.
Javad GNSS has launched the TRIUMPH-3 receiver for surveyors and geodesists. It is capable of efficient tracking even in difficult conditions. It can track all current signals and is ready for any future satellites.
TRIUMPH-3 is designed to operate as a base together with TRIUMPH-LS and TRIUMPH-LS Plus to efficiently accomplish any geodetic job. Its real-time kinematic (RTK) system communicates via integrated UHF, 4G/LTE, Wi-Fi and Bluetooth channels, and eliminates the need to subscribe to a real-time network for corrections.
The new powerful and reliable receiver for high-precision navigation systems is based on the Javad GNSS 874-channel chip. It is equipped with an internal 4G/LTE/3G card and secure and accessible microSD and microSIM cards. It also supports “lift & tilt” technology.
The TRIUMPH-3 receiver can operate as a receiver for post-processing, as a continuously operating reference station (CORS) or portable base station for real-time kinematic (RTK) applications, and as a scientific station collecting information for individual studies, such as ionospheric monitoring.
Features include:
UHF 1 W Transceiver
4G/LTE module
Wi-Fi 5 GHz and 2.4 GHz (802.11 a, b, g, n, d, e, i)
Dual-mode Bluetooth and Bluetooth LE
Full-duplex 10BASE-T/100BASE-TX Ethernet port
High Speed USB 2.0 Host (480 Mbps)
High Speed USB 2.0 Device (480 Mbps)
High Capacity microSD Card (microSDHC) up to 128GB Class 1 O;
Tallysman, a manufacturer of high-performance GNSS antennas, has introduced two additions to its VeraPhase line of precision antennas.
The VP6300 is a triple-band antenna for reception of GPS L1/L2/L5, GLONASS G1/G2/G3, BeiDou B1/B2 and Galileo E1/E5a+b (1165MHz to 1254MHz + 1560MHz to 1610MHz).
The VP6200 is a dual-band antenna for reception of GPS L1/L2, GLONASS G1/G2, BeiDou B1/B2, Galileo E1 and the L-Band correction services (1195MHz to 1254MHz + 1525MHz to 1610MHz).
Both antennas have been calibrated by the U.S. National Geodetic Survey (NGS) and are designed for high-precision applications such as real-time kinematic (RTK), precise point positioning (PPP) and other applications where precision matters.
For OEM manufacturers, the antennas feature an available, uncommitted printed circuit board (PCB) for integration of custom electronics such as precision GNSS receivers.
According to Tallysman, these antennas fill out the VP6x00 product family with precision at a cost-effective price point. Both of these new products feature the same patented VeraPhase technology as in the VP6000 all-band reference antenna.
VeraPhase technology is proven to have the lowest axial ratios from horizon to horizon across all frequencies, very tight Phase Centre Variations (PCV), superior gain and extremely high efficiency.
The new antennas feature a highly linear LNA with robust pre-filtering to minimize desensing from high-level out-of-band signals such 700MHz LTE and other cellular band signals.
The American Association for Geodetic Surveying (AAGS) has undertaken an effort to explore creating a geodetic certification program. The geodetic certification would provide official recognition that a person has the working knowledge and skills to understand and solve practical problems in applied geodesy.
The vision is that the geodetic certification program would be similar to other existing certifications, such as the American Society for Photogrammetry and Remote Sensing (ASPRS) Certified Photogrammetrist, the GIS Certification Institute (GISCI) GIS Professional, and the National Society of Professional Surveyors (NSPS) and The Hydrographic Society of America (THSOA) Certified Hydrographer.
“As geospatial technology continues to advance and gain wider adoption, geodesy is becoming an increasingly important part of the geospatial framework,” said AAGS past president Michael Dennis, RLS, PE. “To that end, we are exploring the concept of creating a program that officially recognizes professionals with a minimum level of geodetic competence.”
To gain input from industry professionals, AAGS created an online questionnaire about the program and invites all those involved with geospatial technologies to contribute. The questionnaire is available here.
The questionnaire is intended to serve multiple purposes:
Establish an appropriate body of knowledge for applied geodesy
Determine the level of support in the geospatial community
Identify areas of interest and existing status of geodetic knowledge
Provide guidance on creating and prioritizing educational content
Show the breadth and depth of the field of geodesy
Raise awareness of the proposed program
The questionnaire also helps lay the foundation for creating a certification program and consists of 50 questions. The first ten are general questions, and the remaining 40 are divided among the eight topic areas listed below.
Geometrical Geodesy and Reference Systems
Map Projections
Physical Geodesy
Astronomic and Celestial Coordinate Systems
Global Navigation Satellite Systems
Statistics and Least Squares
Geodetic Observation Procedures and Practices
Standards, Specifications, and Guidelines
AAGS is seeking input from a broad cross section of geospatial practitioners, including surveyors, engineers, GIS professionals, photogrammetrists, programmers and any others who use geodetic methods and calculations to combine, manipulate, and analyze spatial data.
The proposed geodetic certification program is being developed in cooperation with the National Society of Professional Surveyors (NSPS). Participation of other professional geospatial organizations is currently being solicited as part of program development.
Editor’s Note: This month, we introduce a column by David Doyle, one of our two new survey editors. Doyle brings to GPS World more than 40 years of experience as a geodesist and surveyor with the National Geodetic Survey — see his full bio at the end of this article. He will be joined by coeditor Dave Zilkoski, who will contribute the June column.
David Doyle
Since the mid-1980s, thousands of articles have appeared in peer reviewed journals, trade magazines and professional organization publications that describe the phenomenal capabilities of contemporary space-based positioning systems. The majority have been about various uses of the United States Global Positioning System (GPS) and increasingly include the potential for the inclusion of the Russian GLONASS, European Union Galileo and China’s BeiDou collectively referenced as Global Navigation Satellite Systems (GNSS).
Without meaning to understate the process, the ability for almost anyone, anywhere, at any time to determine a three-dimension position accurate to within a few centimeters is well established. I often comment that the systems are generally so easy to use that if you have the IQ of a squirrel you can obtain pretty good quality data. A feat that until recently was achievable only by the small community of geodesists and geodetic surveyors is now a near-trivial process for anybody who can make a modest investment in some form of positioning system device — and it’s getting better, faster, cheaper and more accurate all the time.
Our ability to collect, manage and display monumental amounts of positional data is also enhanced by the advances in Geographic Information Systems (GIS).
I have been privileged to be a part of this revolution since my initiation into the world of geodetic positioning in 1967, courtesy of the Selective Service System and the U.S. Army, and their use of geodetic triangulation combined with emerging artificial satellite systems such as SECOR (Sequential Collation of Range). These introductions to geodesy eventually led me to a position with the National Geodetic Survey and a career that spanned 40+ years.
During that time, we watched as the centuries-old method of triangulation was replaced by GPS, and as the prices of equipment plummeted with the integration of this technology into a multitude of public, private and academic disciplines — everything from geophysical sciences to weather prediction, precision agriculture, improved marine and aeronautical navigation. The list goes on and on and is well known to those who read this magazine.
So where is this going? What does the title of this article mean?
Doyle working on the Washington Monument.
If we accept, which we do, that all these things are true, then why is it that the world of sharing positional information is filled with scenarios that go something like this? “I got a cm and you got a cm, but our centimeters differ by a meter.” What this means is if these systems are so capable, then virtually all positional data integration should be a snap — everything should fit like a bespoke shirt. Unfortunately, that is often just not so.
Take the case of a decree issued by the U.S. Supreme Court in December 2014 delineating the offshore boundary between the United States and the state of California. The boundary is defined as a set of Universal Transverse Mercator (UTM) grid coordinates published to the nearest mm and referenced simultaneously to the North American Datum of 1983 (NAD 83) and the World Geodetic System 1984 (WGS 84), which the decree states are interchangeable. At the mm level, this is not true. In this area, they differ by approximately 1 m.
The decree provided no information on how these positions were derived, how accurate they really are, and who performed the computations — it certainly was not the Supreme Court. Without pointing fingers at the responsible agency, these all-too-common occurrences seems to be rampant among the many users of high-accuracy positional data, both horizontal and vertical. The crime is often the sin of omission.
The failure in many cases is a lack of knowledge on the part of many GNSS users of some of the basic principles of geodesy and geodetic surveying guidelines and providing complete metadata such as:
what geodetic datums and potentially which realization of those datums were referenced?
what are the units of measure?
how accurate are the positions/heights really?
It’s important to note that the number of digits to the right of a decimal point have nothing to do with accuracy. Land surveyors are taught from their first day on the job that they are following in the footsteps of the surveyor that went before them. It is not unusual for surveyors to struggle with incomplete information from previous surveys to be able to make accurate interpretations of what the original or other previous surveyors intended — a lack of complete metadata.
Today, the massive amount of coordinate and height information being generated by thousands of surveyors, engineers and other disciplines are those footsteps — albeit digital. The multitudes of high-quality data being collected around the world is only as good as the associated information about those values.
As we rapidly approach a time when there will be vastly improved GNSS constellations and very likely cm-level positioning available to millions if not billions of people in cheap handheld devices, the issues of professional education and attention to detail are more important than they have ever been. While it would be really nice if everyone who picked up a GNSS receiver had an advanced degree in geodesy, obviously that is not only unrealistic, it’s senseless. What does need to happen is a comment that I’ve made in hundreds of seminars on these topics — those in professions and disciplines where high-accuracy coordinates are important should know enough to qualify for the Junior Geodesist Secret Decoder Ring!
There are efforts in the works at this time that may bring us a step closer to making this a reality. The American Association for Geodetic Surveying (AAGS) is working on a geodetic surveying certification initiative in collaboration with the National Society of Professional Surveyors (NSPS). This effort will be aimed at anyone who is inclined to collect, manage, distribute and/or utilize the increasing amounts of high-quality positional information.
Watch this space for more details next time.
David Doyle joined the National Geodetic Survey in 1972, and held the position of chief geodetic surveyor for 12 years before his retirement in January 2013. He was responsible for the development, technical design and management of plans and programs that enhanced the United States National Spatial Reference System. During his career with NGS, his experiences included all phases of geodetic triangulation, astronomic positioning, leveling, GPS data collection, data analysis, datum transformations, network adjustments, data publication and outreach in the form of seminars, workshops and webinars. His efforts also included extensive activities to direct and coordinate the modernization of national geodetic reference frames in countries in Africa, Central, Caribbean and South America, Eastern Europe and the Pacific.
Doyle is a past president of the American Association for Geodetic Surveying and a Fellow member of the American Congress on Surveying and Mapping. He has served on the U.S. delegation to the International Federation of Surveyors and is an active member of the District of Columbia, Maryland and Virginia professional surveyors associations. Doyle now operates Base 9 Geodetic Consulting Services.