REPORT ON THE SIRGAS-CON COMBINED SOLUTION WEEK 1395 - 1465 Sonia Costa, Alberto Luis da Silva
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REPORT ON THE SIRGAS-CON COMBINED REPORT ON THE SIRGAS-CON COMBINED SOLUTIONSOLUTION
WEEK 1395 - 1465WEEK 1395 - 1465
Sonia Costa, Alberto Luis da SilvaCoordenação de Geodésia - CGED
Instituto Brasileiro de Geografia e Estatística - IBGE
Segundo Taller del Grupo de Trabajo IMontevideo, maio 26-67, 2008
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OverviewIntroductionSIRGAS-CON sub-networksSub-network Maps
IGS05 Station Selection Combination StrategyNetwork RedundancyProblems found in each sub-network solutionOutlier Rejection in the sub-network solutionsSIRGAS-CON Sub-network Results
SIRGAS-CON Combined Solution ResultsFinal Considerations
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IntroductionThis combination analyses the weekly sub-network solutions provided by 3 SIRGAS Experimental Processing Centers and IGS-RNAAC-SIR:
CPL : Universidad Nacional de La Plata (UNLP), Argentina;SIR: Deutsches Geodätisches Forschungsinstitut-DGFI,
IGS-RNAAC-SIR, Germany;IBG: Instituto Brasileiro de Geografia e Estatística(IBGE) , Brasil;IGA: Instituto Geográfico Agustín Codazzi (IGAC), Colombia;INE: Instituto Nacional de Estadística, Geografía y Información (IEGI), México;
Analyses the results of final combination.
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Stations from each sub-networkCenter Country IGS Reference stations IGS stations
CPL Brasil, Uruguay, Argentina, Chile Guianas
GLPS, BRAZ, UNSA, SANT, CONZ, LPGS, CHPI, OHI2, MANA, SCUB, CRO1
GUAT, SSIA, JAMA, BOGT, RIOP, AREQ, COPO, CFAG, ANTC, PARC, RIO2, KOUR, BRFT
SIR Argentina, Brasil, Uruguay, Chile, Equador, Colombia, Venezuela, Guianas, Mexico, Central America and Caribbean region
GLPS, BRAZ, UNSA, SANT, CONZ, LPGS, CHPI, OHI2, GOLD, PIE1, MDO1, MANA, SCU1, CRO1, ASC1,VESL
ELEN, GUAT, SSIA, INEG, CIC1, BRMU, BDOS, RIOP, KOUR, BRFT, AREQ, GOUG
IBG Brazil, Uruguay, Argentina, Chile, Equador, Venezuela and Guianas
GLPS, BRAZ, UNSA, SANT, CONZ, LPGS, CHPI, OHI2
AREQ, RIOP, KOUR, BRFT, BOGT, COPO, CFAG, ANTC, RIO2, PARC
IGA Colombia, Mexico, Central America and Caribbean region
GLPS, BRAZ, UNSA, CHPI, CRO1, SCUB, MANA, MDO1, PIE1, GOLD
ELEN, GUAT, SSIA, INEG, CIC1, BRMU, BDOS, RIOP, KOUR, BRFT, AREQ
INE Mexico, U.S. and Caribbean region
MANA, SCUB, PIE1, MDO1
GUAT, INEG, PUR3, BRMU, CIC1
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Sub-network CPL
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Sub-network SIR
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Sub-network IBGE
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Sub-network IGA
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Sub-network INE
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All stations
Total : 158
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IGS05 Station Selection The best datum definition for the SIRGAS-CON frame is achieved by
the selection of IGS05 sites with good quality.
This selection followed the criteria: ITRF stations of high quality, good distribution over regional network, long observation history, located on rigid parts of tectonic plates.
Problems: Stations KOUR, BOGT and AREQ present only in ITRF2005
solution
Stations JAMA and RIOG are out of operation
Stations VESL and ASC1 show up only in one sub-network
Station GLPS is located in a region of high tectonic activity
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IGS05 Station Selection Eleven stations: BRAZ, CHPI, CONZ, CRO1, LPGS, MANA, MDO1,
OHI2, SANT, SCUB and UNSA
Coordinates IGS05 propagated to 2007.4 :
)0.20004.2007(0.20000.20004.2007 XXX
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IGS Fiducial Sites
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Combination Strategy
The unconstrained solution, implementing a minimum constraints approach through three translations conditions, preserves the original characteristics of the network and at the same time provides the alignment to ITRF;
The combination strategy is divided into two main parts. The first part produces the unconstrained weekly combination from each sub-network (center) and the second produces the unconstrained final combination from the results of the first part (sub-network results).
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3-Parameter Helmert Transformation
Outlier Rejection Criteria15/15/30 mm NEU
Final Combination - all Processing Centers' Solutions
Sub-Network Combination Scheme
CPLwwww7.SNXIGAwwww7.SNX
SIRwwww7.SNXIBGwwww7.SNX
Iteration
IGS05_R.CRDIGS05_R.VEL
A priori Coordinate
File (propagatedto 2007.4)
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The following steps describe the combination strategy:1. Each sub-network solution is aligned to a subset of fiducial stations from the IGS05
solution of epoch 2007.4 by No Net Translation (NNT) conditions. It means that each resulting combined solution is expressed in IGS05 at the central epoch of the sub-network solution.
2. Each sub-network solution's covariance matrix is scaled by the weighted root mean square (WRMS) of the residuals from the transformation in step 1.
3. Residuals are tested for outliers which are removed from each sub-network solution and steps 1-2 are repeated again in each sub-network. This iterative process is to refine the estimation of variance factor. The threshold limits for coordinate repeatability residuals are 15 mm for east and north components and 30 mm for up component.
4. Compare each sub-network combined solutions with IGS05 in order to see network effects through transformation parameters;
5. All sub-network solutions are combined together to give a final combination solution. The final combined solution is re-aligned to a subset of fiducial stations from the IGS05 solution of epoch 2007.4 by No Net Translation (NNT) conditions.
6. The covariance matrix of the combined solution is scaled by the WRMS of residuals from the transformation in step 3.
7. Residuals are tested for outliers which are removed from the regional solutions and steps 6-7 are repeated until no outliers remain in the combined solution.
SIRGAS-CON Combination Strategy
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C enter IN E IB G IG A SIR C PLIN E 24 0 22 22 4IB G 87 17 86 60IG A 80 80 16SIR 155 68C PL 68
Numb er of C enters Common Stat ion s1 82 573 804 13Total 158
Network Redundancy
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Numb er of C enters 5Total Nu mb er of Station s 158Total Nu mb er of Solution s 20421
Sub-networ
k
n° of stations
Scale Factor
CPL 68 4.13DGF 155 3.10IBG 83 2.95IGA 80 2.58INE 24 0.656
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Problems found in each sub-network solution
CPL: Week solutions 1395 and 1457- a priori constraints matrix block incomplete in SINEX – matrix had to be regularized.
Problems related with station receiver/antenna and antenna height
Wrong domes number Stations EXU0, GRE0, GTK0, MIA3, NAS0 and SMRT
with inadequate domes number
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Outlier Rejection in the sub-network solutions
Exclusion in some solutions : CRAT, BELE, NAUS, MANA, OHI2, JAMA, MZAS and PUR3.
In all solutions: GLPS (+2 to -5 cm in E), CONZ(1 to 2 cm in E), BDOS (-1.7 to 1.7 cm in E), BOGA (-5 to 3 cm in U), LPAZ (3 to -3 cm in E)
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SIRGAS-CON Sub-network Results
SOL RMS(m) TX(m) TY(m) TZ(m)ROT_X
(")ROT_Y
(")ROT_Z
(")SCL
(ppm)
CPL MEAN 0,00458 0,0003 -0,0009 -0,0002 0 0 0 -0,00002
STDDEV 0,00074 0,0056 0,0047 0,0084 0,0003 0,0003 0,0002 0,00052
SIR MEAN 0,00525 0,0003 -0,0009 -0,0002 0 0 0 -0,00002
STDDEV 0,00147 0,0056 0,0047 0,0084 0,0003 0,0003 0,0002 0,00052
IBG MEAN 0,00425 0,0003 -0,0009 -0,0002 0 0 0 -0,00002
STDDEV 0,00074 0,0056 0,0047 0,0084 0,0003 0,0003 0,0002 0,00052
IGA MEAN 0,00471 0,0003 -0,0009 -0,0002 0 0 0 -0,00002
STDDEV 0,00138 0,0056 0,0047 0,0084 0,0003 0,0003 0,0002 0,00052
Mean and Standard deviation of transformation parameters between weekly solutions of each sub-network to combined sub-network solution.
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SIRGAS-CON Sub-network Results
RMS of transformation between weekly solution of each sub-network to the combined solution of each processing center.
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SIRGAS-CON Sub-network Results
Scale estimated in the weekly solution of each processing center
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SIRGAS-CON Sub-network Results
Transformation parameters between IGS05(epoch 2007,4) and each sub-network combination.
SOL. RMS(mm)
TX (mm) / ±
TY (mm) / ±
TZ (mm) /
±
ROT_X/ ± (")
ROT_Y/ ± (")
ROT_Z/ ± (")
SCL/ ±
(ppm)CPL 3.4 -5.5 / 4.0 -4.0 / 2.4 3.7 / 2.3 -
0.00011 /0.00007
-0.00003/0.00008
-0.00024/0.00014
0.0005/ 0.0003
SIR 4.7 1.7 / -2.6 2.5 / 1.8 -3.4 / 2.1 0.00012/ 0.00007
0.00003/ 0.00007
0.00008/ 0.00010
0.0005/ 0.0003
IBG 2.3 -9.9 / -3.3 -12.6 / 2.4 15.5 / 2.4
- 0.00054/ 0.00008
0.00005/ 0.00008
- 0.00037/ 0.00010
0.0005/ 0.0003
IGA 4.2 2.4 / 4.8 2.0 / 2.9 0.2 / 4.7 - 0.00000 /0.00017
- 0.00005/0.00009
0.00014/0.00018
0.0004/ 0.0004
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SIRGAS-CON Combined Solution Results
Alignment method: Minimal constraint conditions on fiducial stations by No Net Translation (NNT) conditions
Reference Frame: IGS05 Reference epoch (the middle of the time interval):2007-06-06,
00:00:00(2007.4) Fiducial stations: BRAZ, CHPI, CONZ, CRO1, LPGS, MANA,
MDO1, OHI2, SANT, SCUB and UNSA
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SIRGAS-CON Combined Solution ResultsCLP
Residuals of station repeatability obtained in the final solution
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SIRGAS-CON Combined Solution ResultsSIR
Residuals of station repeatability obtained in the final solution
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SIRGAS-CON Combined Solution ResultsIBG
Residuals of station repeatability obtained in the final solution
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SIRGAS-CON Combined Solution ResultsIGA
Residuals of station repeatability obtained in the final solution
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SIRGAS-CON Combined Solution Results
0
5
10
15
20
25
BDOS CFAG CIC1 CRAT FQNE GLPS JAMA LPAZ MZAS PEPE SAMA UBAT
RM
S (m
m)
N E U
Higher RMS of residuals of station repeatability in the final combination
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SIRGAS-CON Combined Solution Results
SOL.RMS(m) TX(m) TY(m) TZ(m)
ROT_X(")
ROT_Y(")
ROT_Z (") SCL(ppm)
CPL 0,0005 0,0005 -0,0009 0,0004 0,0000 0,0000 0,0000 -0,00001
SIR 0,0023 0,0011 -0,0023 -0,0005 0,0000 0,0000 0,0000 0,00005
IBG 0,0015 -0,0015 -0,0014 -0,0061 0,0001 0,0001 0,0000 -0,00043
IGA 0,0013 0,0006 -0,0024 -0,0006 0,0001 0,0000 0,0000 -0,00017
MEAN 0,0014 0,0002 -0,0018 -0,0017 0,0001 0,0000 0,0000 -0,0001
0,0007 0,0011 0,0007 0,0030 0,0001 0,0001 0,0000 0,0002
Transformation parameters between sub-network solutions to the final combination
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SIRGAS-CON Combined Solution Results
Transformation parameters between IGS05 (epoch 2007,4) and the final combination
RMS(mm)
TX (mm) / ±
TY (mm) / ±
TZ (mm) / ±
ROT_X/ ± (")
ROT_Y/ ± (")
ROT_Z/ ± (")
SCL/ ± (ppm)
4.4 2.0 / 2.5 2.0 / 1.7 -3.4 /2.0 0.00014/0.00007
-0.00004/0.00006
0.00009/0.00010
0.0006 /0.0003
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Final Considerations A total of 156 stations were available for the final solution of four
processing centers. The results were satisfactory even considering the problems related to antenna/receiver identifications as well as related to antenna height.
Some organization needs to be done for all processing centers to use the same identification for receiver/antenna as well as antenna height. It’s suggested to make available a station information file and Ocean loading file. File updates are in the responsibility of the network coordinator. Radome codes need to be supplied.
More IGS stations should be included in the solutions of processing centers, this is the case of IBGE, in order to have the redundancy of five or more IGS stations in different sub-networks.
Add more redundant solutions for as many stations as possible, especially those in the SIRGAS-CON network. Some stations are only in one regional solution and therefore have no independent quality control checks.