Theoretical geodesy

Journal title

Geodesy and Cartography




vol. 64


No 2

Publication authors


M-estimation ; robust estimation ; reliability ; time series ; polar motion

Divisions of PAS

Nauki Techniczne


The paper presents a summary of research activities concerning theoretical geodesy performed in Poland in the period of 2011–2014. It contains the results of research on new methods of the parameter estimation, a study on robustness properties of the M-estimation, control network and deformation analysis, and geodetic time series analysis. The main achievements in the geodetic parameter estimation involve a new model of the M-estimation with probabilistic models of geodetic observations, a new Shift-M split estimation, which allows to estimate a vector of parameter differences and the Shift- M split (+) that is a generalisation of Shift- M split estimation if the design matrix A of a functional model has not a full column rank. The new algorithms of the coordinates conversion between the Cartesian and geodetic coordinates, both on the rotational and triaxial ellipsoid can be mentioned as a highlights of the research of the last four years. New parameter estimation models developed have been adopted and successfully applied to the control network and deformation analysis. New algorithms based on the wavelet, Fourier and Hilbert transforms were applied to find time-frequency characteristics of geodetic and geophysical time series as well as time-frequency relations between them. Statistical properties of these time series are also presented using different statistical tests as well as 2 nd , 3 rd and 4 th moments about the mean. The new forecasts methods are presented which enable prediction of the considered time series in different frequency bands.


Commitee on Geodesy PAS


2015[2015.01.01 AD - 2015.12.31 AD]


Artykuły / Articles


ISSN 2080-7636


Bogusz (2012), GPS - derived height changes in diurnal and sub - diurnal timescales No, Acta Geophysica, 60, ; Klos (2014), Irregular variations in the GPS time series by the probability and noise analysis, Survey Review, ; Klos (2014), Uncertainties of geodetic velocities from permanent GPS observations : Sudeten case study No, Acta Geodynamica et Geomaterialia, 11, ; Kosek (2014), Wavelet analysis of the Earth centre of mass time series determined by satellite techniques, Journal of Geodynamics, 80, 58, ; Kosek (2013), Variable seasonal and subseasonal oscillations in sea level anomaly data and their impact on prediction accuracy Proceedings of the VIII HotineMarussi Symposium, IAG Symposium Series, 142. ; Świerczynska (2014), Semiannual and annual oscillations of sea level and their impact on asymmetry between El Niño and La Niña episodes, Studia Geophysica et Geodaetica, 58. ; Kamiński (2013), Local variance factors in deformation analysis of non - homogenous monitoring networks, Survey Review, 45, 328, ; Klos (2014), On the handling of outliers in the GNSS time series by means of the noise and probability analysis proceedings of the IAG Scientific Assembly accepted for publication by Springer, IAG Symposium Series, 143. ; Klos (2014), Noise analysis of continuous GPS time series of selected EPN stations to investigate variations in stability of monument types proceedings of the IAG Scientific Assembly accepted for publication by Springer, IAG Symposium Series, 143. ; Bogusz (2011), Determination of the not - modelled short periodic variations in the GPS permanent sites positions No, Acta Geodynamica et Geomaterialia, 8. ; Bogusz (2011), Estimation of sub - diurnal noise level in GPS time series No, Acta Geodynamica et Geomaterialia, 8. ; Niedzielski (2011), Is there any teleconnection between surface hydrology in Poland and El Niño / Southern Oscillation Pure, and Applied Geophysics, 168. ; Bogusz (2011), Investigation of environmental influences to the precise GNNS solutions No, Acta Geodynamica et Geomaterialia, 8. ; Bogusz (2013), Wavelet decomposition in the Earth s gravity field investigation No, Acta Geodynamica et Geomaterialia, 10, ; Niedzielski (2012), The statistical characteristics of altimetric sea level anomaly time series eds Geodesy for Planet Earth, International Association of Geodesy Symposia, 136. ; Niedzielski (2014), El Niño / Southern Oscillation and selected environmental consequences Advances in, Geophysics, 55, 7. ; Duchnowski (2011), Robustness of strategy for testing leveling mark stability based on rank tests, Survey Review, 43, 323, ; Bogusz (2014), Annual signals observed in regional GPS networks No, Acta Geodynamica et Geomaterialia, 11,