scholarly journals Testing the relationship between vertical crustal movement and geoid uplift for the Sudetes area

2018 ◽  
Author(s):  
Kamil Kowalczyk ◽  
Joanna Kuczynska-Siehien
Keyword(s):  
Crustal Movement ◽  
Vertical Crustal Movement ◽  
The Relationship

Further Analysis of Vertical Crustal Movement Observations in the Lac St. Jean Area, Quebec

1972 ◽  
Vol 9 (9) ◽  
pp. 1139-1147 ◽  
Author(s):  
Petr Vaníček ◽  
Angus C. Hamilton
Keyword(s):  
Systematic Error ◽  
Confidence Limit ◽  
Statistical Tests ◽  
Crustal Movement ◽  
Quebec City ◽  
Confidence Limits ◽  
Downward Movement ◽  
Vertical Crustal Movement ◽  
Movement Rates ◽  
The North

Further statistical tests have been made on levelling data in the Lac St. Jean area of Québec. These tests confirm that relative to Québec City there is downward movement focussed about Stoneham at the rate of 45.7 cm per century with a 95% confidence limit of ± 14.5 cm per century, and that there is uplift to the north and west with rates and 95% confidence limits of 58.8 ± 12.5 cm per century at St. Félicien and 83.5 ± 22.8 cm per century at Senneterre.A test for correlation between elevation differences and movement rates showed no significant effect; this is interpreted as evidence there was no appreciable systematic error in the levelling. From these analyses the possibility that the results might be explained in terms of errors, either random or systematic, can be rejected without any reservations.

scholarly journals Optimal mathematical and statistical models to estimate vertical crustal movements using satellite altimetry and tide gauge data

2019 ◽  
Vol 9 (1) ◽  
pp. 144-153
Author(s):  
H. Bâki Iz ◽  
T. Y. Yang ◽  
C. K. Shum ◽  
C. Y. Kuo
Keyword(s):  
Sea Level ◽  
Statistical Models ◽  
Satellite Altimetry ◽  
Tide Gauge ◽  
Crustal Movement ◽  
Sea Level Changes ◽  
Unknown Parameters ◽  
Vertical Crustal Movement ◽  
Proposed Model ◽  
Systematic Effects

Abstract Knowledge of vertical crustal movement is fundamental to quantify absolute sea level changes at tide gauge locations as well as for satellite altimetry calibration validations. While GPS measurements at collocated tide gauge stations fulfill this need, currently only few hundred tide gauge stations are equipped with GPS, and their measurements do not span a long period of time. In the past, several studies addressed this problem by calculating relative and geocentric trends from the tide gauge and satellite altimetry measurements respectively, and then difference the two trends to calculate the rate of changes at the tide gauge stations. However, this approach is suboptimal. This study offers an optimal statistical protocol based on the method of condition equations with unknown parameters. An example solution demonstrates the proposed mathematical and statistical models’ optimality in estimating vertical crustal movement and its standard error by comparing them with the results of current methods. The proposed model accounts for the effect of autocorrelations in observed tide gauge and satellite altimetry sea level time series, adjusts observed corrections such as inverted barometer effects, and constraints tide gauge and satellite altimeter measurement to close. The new model can accommodate estimating other systematic effects such as pole tides that are not eliminated by differencing.

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