Abstract:Abstract. Although tectonic deformation in western Europe is essentially concentrated in the Appenines and Alpine (Alps, Pyrenees) mountain ranges, several large historical and instrumentally recorded earthquakes (M>6) are known in the supposedly "stable" part of Europe. Because of its accuracy and internal consistency at a global scale, the International Terrestrial Reference Frame 1997 (ITRF97) velocity field allows testing of intraplate rigidity in western Europe at a millimeter per year level. Using the fu… Show more
“…This seems less likely for the Eurasian and North American plates, for which the de¢nition of the stable plate interiors is now relatively well understood thanks to the numerous, long-operating continuous geodetic stations on both plates (e.g., [16,17,26]). We also note that our results and those of the REVEL geodetic model [10] agree well, even though the underlying data, processing strategies, data time spans, and sites used to de¢ne the Eurasian and North American plates all di¡er.…”
Section: Discussion: E¡ects Of Possible Systematic Errorsmentioning
confidence: 99%
“…1, top). In order to ¢nd the sites that best satisfy the condition of plate rigidity for each of the Nubian, Eurasian, and North American plates, we repeatedly inverted horizontal GPS velocities for each of these plates while searching for the combination of site velocities that are best ¢t by a single angular velocity vector, using M 2 tests and minimal variance criteria [16,17]. By doing so, we obtain angular velocity vectors for all three Fig.…”
Section: Gps Velocities For the Nubian And Northmentioning
“…This seems less likely for the Eurasian and North American plates, for which the de¢nition of the stable plate interiors is now relatively well understood thanks to the numerous, long-operating continuous geodetic stations on both plates (e.g., [16,17,26]). We also note that our results and those of the REVEL geodetic model [10] agree well, even though the underlying data, processing strategies, data time spans, and sites used to de¢ne the Eurasian and North American plates all di¡er.…”
Section: Discussion: E¡ects Of Possible Systematic Errorsmentioning
confidence: 99%
“…1, top). In order to ¢nd the sites that best satisfy the condition of plate rigidity for each of the Nubian, Eurasian, and North American plates, we repeatedly inverted horizontal GPS velocities for each of these plates while searching for the combination of site velocities that are best ¢t by a single angular velocity vector, using M 2 tests and minimal variance criteria [16,17]. By doing so, we obtain angular velocity vectors for all three Fig.…”
Section: Gps Velocities For the Nubian And Northmentioning
“…[92] Pyrenees (France, PYR): No resolvable movement of continuously recording GPS sites in Western Europe [Nocquet and Calais, 2003;Nocquet et al, 2001] puts a maximum rate of movement across the Pyrenees of 0.6 mm/yr. We assume that no shortening across the range: 0 AE 0.6 mm/yr.…”
[1] By regressing simple, independent variables that describe climate and tectonic processes against measures of topography and relief of 69 mountain ranges worldwide, we quantify the relative importance of these processes in shaping observed landscapes. Climate variables include latitude (as a surrogate for mean annual temperature and insolation, but most importantly for the likelihood of glaciation) and mean annual precipitation. To quantify tectonics we use shortening rates across each range. As a measure of topography, we use mean and maximum elevations and relief calculated over different length scales. We show that the combination of climate (negative correlation) and tectonics (positive correlation) explain substantial fractions (>25%, but <50%) of mean and maximum elevations of mountain ranges, but that shortening rates account for smaller portions, <25%, of the variance in most measures of topography and relief (i.e., with low correlations and large scatter). Relief is insensitive to mean annual precipitation, but does depend on latitude, especially for relief calculated over small ($1 km) length scales, which we infer to reflect the importance of glacial erosion. Larger-scale (averaged over length scales of $10 km) relief, however, correlates positively with tectonic shortening rate. Moreover, the ratio between small-scale and large-scale relief, as well as the relative relief (the relief normalized by the mean elevation of the region) varies most strongly with latitude (strong positive correlation). Therefore, the location of a mountain range on Earth with its corresponding climatic conditions, not just tectonic forcing, appears to be a key factor in determining its shape and size. In any case, the combination of tectonics and climate, as quantified here, can account for approximately half of the variance in these measures of topography. The failure of present-day shortening rates to account for more than 25% of most measures of relief raises the question: Is active tectonics overrated in attempts to account for present-day relief and exhumation rates of high terrain?
“…The multicollinearity in the estimation of Euler vectors is often coupled with errors which come from the non-rigid behavior of the sites. Up to 3-4 mm/yr residuals are common after removing the Euler rotation from the site velocities (Qiang et al, 1999;Nocquet et al, 2001;Aktug et al, 2009b). The multicollinearity in the estimation problems is often handled with TykhonovPhillips regularization (Tykhonov, 1963;Phillips, 1962).…”
Section: Introductionmentioning
confidence: 99%
“…The Euler parameterization of tectonic plate motions provides an indispensible tool for modeling the rigid plates where the deformation along the plate boundaries are neglected or assumed comparatively small (McClusky et al, 2000;Nocquet et al, 2001;Aktug et al, 2009a, b). Even in those models which take the deformation along plate boundaries into consideration, the Euler parameterization is still employed with the compensation of the deformation Copyright c The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS); The Seismological Society of Japan; The Volcanological Society of Japan; The Geodetic Society of Japan; The Japanese Society for Planetary Sciences; TERRAPUB.…”
Euler vectors provide a unified framework to quantify the relative or absolute motions of tectonic plates through various geodetic and geophysical observations. With the advent of space geodesy, Euler parameters of several relatively small plates have been determined through the velocities derived from the space geodesy observations. However, the available data are usually insufficient in number and quality to estimate both the Euler vector components and the Euler pole parameters reliably. Since Euler vectors are defined globally in an Earth-centered Cartesian frame, estimation with the limited geographic coverage of the local/regional geodetic networks usually results in highly correlated vector components. In the case of estimating the Euler pole parameters directly, the situation is even worse, and the position of the Euler pole is nearly collinear with the magnitude of the rotation rate. In this study, a new method, which consists of an analytical derivation of the covariance matrix of the Euler vector in an ideal network configuration, is introduced and a regularized estimation method specifically tailored for estimating the Euler vector is presented. The results show that the proposed method outperforms the least squares estimation in terms of the mean squared error.
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