Decomposition of deformation primitives of horizontal geodetic networks: application to Taiwan?s GPS network

Hsu, Rongshin; Li, S.

doi:10.1007/s00190-004-0399-9

Cited by 10 publications

(8 citation statements)

References 5 publications

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“…As a matter of fact, any δX k is a legal candidate, and thereby leading to s′′ ≤ n and quite often s′ ≠ s′′. According to Hsu and Li (2004),…”

Section: Spatial Distribution Of Influential Observationsmentioning

confidence: 97%

“…Vaníček's approach was applied to Taiwan's GPS network, indicate that the largest deformation measures at a point tend to be caused by the observations tied to the point of interest, i.e., the inner group observations (Hsu and Li, 2004). In particular, the inner group observations dominate the strong robustness in rotation.…”

Section: Spatial Distribution Of Influential Observationsmentioning

confidence: 99%

“…The largest robustness parameters were due to the observations with minimum redundancy numbers". His experiments prompted Hsu and Li (2004) to derive the functional relationship between robustness and reliability by expressing a deformation measure at a point in terms of redundancy number and marginally undetected blunder as well as the extent the point is tied to its adjacent points. The Taiwan GPS network revealed that large deformations tend to be found at points where the group redundancies are small, that the local components monopolize deformation measures at the perimeter stations of the network where very small redundancy numbers are found, and that the largest deformation at any point may be due to an observation not directly Downloaded by [Northeastern University] at 20:52 05 October 2014 tied to the point of interest (Hsu and Li 2004).…”

Section: Introductionmentioning

confidence: 99%

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Statistical tests for discerning differences of robustness of horizontal geodetic networks due to different approaches

Hsu

Lee²,

Kao

2008

Journal of the Chinese Institute of Engineers

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In addition to Vanicek's original approach to network robustness, Tao's approach is introduced. Two sets of three deformation measures at each point of the network are then created due to the two approaches. To differentiate one approach from the other, three statistical tests are proposed: (1). Displacement tests examine the network as a whole: to what extent are the displacement vectors due to the two approaches different? These are referred to as global tests of the network's robustness between approaches. (2). Deformation tests, on the other hand, investigate to what extent the deformation vectors at individual points are different. These are referred to as local tests of the network's robustness between approaches. (3). Equivalence tests examine the network as a whole for the statistical equalities between the corresponding deformation measures generated by the two approaches. Furthermore, the spatial distribution of the influential observables, the observations which cause the largest deformations at individual points, between approaches is discussed

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“…As a matter of fact, any δX k is a legal candidate, and thereby leading to s′′ ≤ n and quite often s′ ≠ s′′. According to Hsu and Li (2004),…”

Section: Spatial Distribution Of Influential Observationsmentioning

confidence: 97%

Section: Spatial Distribution Of Influential Observationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Statistical tests for discerning differences of robustness of horizontal geodetic networks due to different approaches

Hsu

Lee²,

Kao

2008

Journal of the Chinese Institute of Engineers

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“…dr. P. Šalvėjus -Fizikos institutas) (Lietuvos Respublikos... 2006). Išsamiai seismotektoninis aktyvumas Lietuvoje išnagrinėtas V. Ilginytės darbuose (Ilginytė 1998a(Ilginytė , 1998b. 2003 m. V. Ilginytė, A. Šliaupa ir I. Bagdanavičiūtė sudarė seismotektoninio rajonavimo žemėlapį (1 pav.)…”

Section: Lietuvos Teritorijos Seismotektoninis Potencialasunclassified

Lietuvos teritorijos žemes plutos deformaciju ir seismotektoninio potencialo ryšys

Zakarevičius

Stanionis

Levinskaitė

2010

Geodesy and Cartography

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Santrauka. Lietuvoje yra statinių, keliančių ekologinio pavojaus grėsmę (Ignalinos atominė elektrinė, Mažeikių naftos perdirbimo įmonė, chemijos gamyklos Jonavoje bei Kėdainiuose ir pan.). Seisminiai įvykiai gali sutrikdyti šių įmonių veiklą ir net lemti didelį pavojų aplinkai, t. y. gali būti sukelta didelė aplinkos tarša cheminėmis bei radioaktyviosiomis medžiagomis. Seisminius įvykius lemia teritorijos seismotektoninis potencialas. Seismotektoninis potencialas ir Žemės plutos deformacijos yra tarpusavyje susiję reiškiniai, kuriuos sukelia dažnai tie patys giluminiai procesai Žemės gelmėse. Žemės plutos deformacijų tyrimas yra vienas iš informacijos šaltinių prognozuojant teritorijos seismotektoninį aktyvumą. Straipsnyje nagrinėjamos Žemės plutos horizontaliosios deformacijos, nustatomi Žemės plutos įtempių pokyčiai Lietuvos teritorijoje pagal GPS matavimų duomenis. Atlikus tyrimus pagal pateikiamą Žemės plutos horizontaliųjų deformacijų ir įtempių tyrimo metodiką, gauti nauji horizontaliųjų deformacijų charakteristikų bei įtempių pokyčių rezultatai ir nustatytos jų sąsajos su seismotektoniniu potencialu.

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“…Here, the length means the distances or connections between reference sites. One example of use of strain analysis with geodetic networks is robustness analysis (VANÍČEK et al, 1991;KRAKIWSKY et al, 1993;VANÍČEK et al, 2001;HSU and LI, 2004;BERBER et al, 2008;HSU et al, 2008;VANÍČEK et al, 2008;YETKIN, 2012;YETKIN and BERBER, 2013). In robustness analysis, strain analysis is used to portray the effect of undetected errors because strain technique is independent of adjustment constraints and reflects only the network geometry and accuracy of the observations .…”

Section: Introductionmentioning

confidence: 99%

Robustness analysis of geodetic networks in the case of correlated observations

Yetkin¹,

Berber²,

İnal³

2013

Bol. Ciênc. Geod.

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GPS (or GNSS) networks are invaluable tools for monitoring natural hazards such as earthquakes. However, blunders in GPS observations may be mistakenly interpreted as deformation. Therefore, robust networks are needed in deformation monitoring using GPS networks. Robustness analysis is a natural merger of reliability and strain and defined as the ability to resist deformations caused by the maximum undetectable errors as determined from internal reliability analysis. However, to obtain rigorously correct results; the correlations among the observations must be considered while computing maximum undetectable errors. Therefore, we propose to use the normalized reliability numbers instead of redundancy numbers (Baarda's approach) in robustness analysis of a GPS network. A simple mathematical relation showing the ratio between uncorrelated and correlated cases for maximum undetectable error is derived. The same ratio is also valid for the displacements. Numerical results show that if correlations among observations are ignored, dramatically different displacements can be obtained depending on the size of multiple correlation coefficients. Furthermore, when Yetkin, M. et al. Bol. Ciênc. Geod., sec. Artigos, Curitiba, v. 19, n o 3, p.434-451, jul-set, 2013. 4 3 5 normalized reliability numbers are small, displacements get large, i.e., observations with low reliability numbers cause bigger displacements compared to observations with high reliability numbers. Keywords: Robustness; Strain; Displacement; Reliability; GPS Network. RESUMO Redes GPS (ou GNSS) são ferramentas valorosas para monitorar desastres naturais, tais como terremotos. No entanto, erros nas observações GPS podem ser erroneamente interpretados como deformação. Portanto, redes robustas são necessárias no monitoramento de deformação. Análise de robustez é uma fusão de confiabilidade e de tensão e definida como a capacidade de resistir as deformações causadas pelos erros máximos não detectáveis, tal como é determinado a partir de análise de confiabilidade interna. Para obter resultados rigorosamente corretos, no entanto, as correlações entre as observações devem ser consideradas ao calcular erros máximos não detectáveis. Assim, propõe-se utilizar os números de confiabilidade normalizados em vez de números de redundância (abordagem de Baarda) na análise de robustez de uma rede GPS. Uma relação matemática simples que mostra a razão entre os casos não correlacionados e correlacionados para o erro máximo não detectável é derivada. A mesma razão também é válida para os deslocamentos. Os resultados numéricos mostram que se as correlações entre as observações são ignoradas, diferentes deslocamentos podem ser obtidos, dependendo da dimensão dos múltiplos coeficientes de correlação. Além disso, quando os números de confiabilidade normalizados são pequenos, são obtidos grandes deslocamentos, ou seja, observações com números baixos de confiabilidade causam deslocamentos maiores em comparação com observações com números elevados de confiabilidade.

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Decomposition of deformation primitives of horizontal geodetic networks: application to Taiwan?s GPS network

Cited by 10 publications

References 5 publications

Statistical tests for discerning differences of robustness of horizontal geodetic networks due to different approaches

Statistical tests for discerning differences of robustness of horizontal geodetic networks due to different approaches

Lietuvos teritorijos žemes plutos deformaciju ir seismotektoninio potencialo ryšys

Robustness analysis of geodetic networks in the case of correlated observations

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