A new univariate deformation analysis approach considering displacements as model errors

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Science and Business Media B.V.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In Conventional Deformation Analysis (CDA), at least two different epochs are adjusted by using the Least Squares Estimation (LSE) method and compared statistically. The effect of the geometry of the network is an essential part of the adjustment model and the LSE method smears the effects of the displaced point over the other nondisplaced points. In this study, to remove these spoiling effects and to increase the reliability of the deformation analysis, a new approach is introduced. This approach depends on the analysis of the differences between observations of the two epochs, and also considers the principles of the model error approach. All possible combinations of the differences of the observations are considered as model errors in Gauss-Markov model and the estimated model error for the combination, that has the smallest variance, is compared with a critical value to answer the question whether it is significant or not. To compare the results of the new approach with the CDA, the Monte Carlo simulation technique and mean success rate are used in a leveling network. As a consequence, according to the simulation results, the new approach is better than the CDA by 7.6% and 9.7% for one and two displaced points, respectively, when the deformation network is designed as a subnetwork.

Açıklama

Anahtar Kelimeler

Conventional deformation analysis, Reliability, Univariate approach, Model error, Subnetwork

Kaynak

Studia Geophysica et Geodaetica

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

Sayı

Künye

Erdoğan, B., Hekimoğlu, S., & Durdağ, U. M. (2021). A new univariate deformation analysis approach considering displacements as model errors. Studia Geophysica et Geodaetica, 1-14.