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Development of a precise local quasigeoid model for the city of Krakow – QuasigeoidKR2019 Cover

Development of a precise local quasigeoid model for the city of Krakow – QuasigeoidKR2019

Open Access
|May 2020

Figures & Tables

Figure 1

Characteristics of quasigeoid models in Poland
Characteristics of quasigeoid models in Poland

Figure 2

Location of the measurement points over the Krakow area. Points measured in the first campaign – grey, points measured in second campaign – blue, additionally measured points – green
Location of the measurement points over the Krakow area. Points measured in the first campaign – grey, points measured in second campaign – blue, additionally measured points – green

Figure 3

Location of benchmarks over the Krakow area (1 – the primary base; 2 – detailed)
Location of benchmarks over the Krakow area (1 – the primary base; 2 – detailed)

Figure 4

Spatial distribution of GNSS/levelling points for the construction of a quasigeoid model for the Krakow area
Spatial distribution of GNSS/levelling points for the construction of a quasigeoid model for the Krakow area

Figure 5

Difference of height anomalies derived from the national model PL-geoid2011 and GPS/levelling-derived ones
Difference of height anomalies derived from the national model PL-geoid2011 and GPS/levelling-derived ones

Figure 6

Difference of height anomalies derived from the local model QuasigeoidKR2019 and GPS/levelling-derived ones
Difference of height anomalies derived from the local model QuasigeoidKR2019 and GPS/levelling-derived ones

Accuracy characteristics of the local quasigeoid model for the city of Krakow

Number of all points used to construct the model66
Number of unknowns4
Number of points removed4
Final number of points62

Residual standard deviation0.0062 m
Mean absolute residual0.0049 m
Median absolute residual0.0046 m
Maximum absolute residual0.0140 m
Coefficient of determination0.8117
10 largest absolute residuals [m]0.0086, 0.0092, 0.0097, 0.0097, 0.0098, 0.0103, 0.0105, 0.0121, 0.0131, 0.0140

Results of cross-validation (Leave-one-out)
Root mean square error0.0064 m
Mean absolute error0.0052 m
Median absolute error0.0048 m
Maximum absolute difference0.0144 m

Results of Monte Carlo cross-validation (1000-fold removal of 20% of points)
Root mean square error0.0064 m
Mean absolute error0.0053 m
Median absolute error0.0050 m
Maximum absolute difference0.0159 m

Summary statistics of absolute differences between models and GNSS/Levelling derived height anomalies

CharacteristicsNational model PL-geoid2011 [m]Local model QuasigeoidKR2019 [m]
Minimum0.0000.000
First Quartile0.0070.002
Median0.0150.004
Third Quartile0.0240.007
Maximum0.0440.014
Mean absolute difference0.0160.005

First survey campaign – sessions 1–17_ Point selected for second measurement are in bold_ Second measurement – sessions 18–24 (shaded grey)

SessionPoints
1410252015301
263016401750176016201
33803490250015103
41402250126032701
554026503660177017801
6280639014001BA00
70501150116031702
81801190229023002
93104420443034401
10450346035701
114700580259017002
12690482018300
13680180018103
14550156016704
15910293019402
16960456519501
179201970199019902
186252635264517552
19385349525051BA50BA51
205351655367547852
212653275128564051
22905A905B05511851
23315445535951
245753685180518251

Post-processing variants

SoftwareSolution
Leica Geo OfficeNetwork solution, ASG-EUPOS reference stations (KRA1, PROS)
GNSS SolutionsNetwork solution, one ASG-EUPOS reference station (KRA1 or PROS)
AUSPOS (internet service) https://www.ga.gov.auNetwork solution, EPN/IGS reference stations
MagicGNSS (internet service) https://magicgnss.gmv.comPrecise Point Positioning
DOI: https://doi.org/10.2478/rgg-2020-0004 | Journal eISSN: 2391-8152 | Journal ISSN: 0867-3179
Language: English
Page range: 25 - 31
Submitted on: Mar 27, 2020
Accepted on: May 3, 2020
Published on: May 22, 2020
Published by: Warsaw University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Piotr Banasik, Kazimierz Bujakowski, Jacek Kudrys, Marcin Ligas, published by Warsaw University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.