The variance inflation factor to account for correlations in likelihood ratio tests: deformation analysis with terrestrial laser scanners

Kermarrec, Gaël; Lösler, Michael; Guerrier, Stéphane; Schön, Steffen

doi:10.1007/s00190-022-01654-5

Cited by 8 publications

(3 citation statements)

References 71 publications

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“…37 This study showed that turbulence effects on the time series of Tiepoint extraction from long-range observations have daily variations, which depend on the location of the target. A simple batch-wise estimation of the cut-off frequency ω L 0 gives indication if strong variations occur and necessitate to (i) correct the sample mean of the measurements following the methodology developed in, 37 or (ii) disregard them from the analysis. We have provided first insights on how to estimate it statistically, including the uncertainty of the parameter.…”

Section: Impact On Geodetic Measurementsmentioning

confidence: 82%

Does atmospheric turbulence affect long-range terrestrial laser scanner observations? A case study in alpine region

Kermarrec,

Czerwonka-Schröder,

Holst

2023

Environmental Effects on Light Propagation and Adaptive Systems VI

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Optical or microwave measurements from numerous geodetic devices are affected by their path through the atmosphere. Deterministic changes in the atmospheric refractivity index can be modelled and, to some extent, corrected. On the other hand, random fluctuations coming from atmospheric turbulence correlates the observations thus reducing the effective number of available observations. They have to be accounted for to get a realistic description of the measurement error but also to increase the reliability of early warning system within the context of risk management with light detection and ranging (lidar) sensors. We have developed a novel method to investigate the impact of turbulence on long-range laser scanner observations by searching prisms within repetitive scans at different times of the day, during consecutive days in a mountainous region in Austria. The empirical analysis of the power spectral density of the measurements combined with information from meteorological sensors (pressure, temperature, wind velocity) help gaining a better understanding of how and when turbulence affects the range measurements. Our method gives an averaged description of turbulence across the atmospheric layers travelled by the laser light, and paves the way for the development of an improved stochastic model for such observations without using additional equipment such as scintillometers.

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Section: Impact On Geodetic Measurementsmentioning

confidence: 82%

Does atmospheric turbulence affect long-range terrestrial laser scanner observations? A case study in alpine region

Kermarrec,

Czerwonka-Schröder,

Holst

2023

Environmental Effects on Light Propagation and Adaptive Systems VI

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“…Physically traceable, non-conventional statistical methods were applied to identify potential AC and address dataset randomness. This approach aimed to enhance result confidence and prevent discrepancies in statistical hypothesis tests for seasonal conditions, thus avoiding erroneous stochastic model outcomes due to overlooked AC [26,27]. To analyze AC in the dataset and characterize the behavior of each signal, an individual examination of each dataset was conducted.…”

Section: Correlation Modelling and Randomness In The Datasetmentioning

confidence: 99%

Rainfall Potential and Consequences on Structural Soil Degradation of the Most Important Agricultural Region of Mexico

Norzagaray Campos,

Muñoz Sevilla,

Montiel Montoya

et al. 2024

Atmosphere

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This study investigates the historical variability in annual average precipitation in the northwest region of Mexico, aiming to evaluate the cumulative impact of precipitation on soil degradation and associated risks posed by rainfall. Despite being known as “The Agricultural Heart of Mexico”, the region’s soil has experienced significant damage to its granulometric structure due to unpredictable rainfall patterns attributed to climate change. Sixteen historical series of average annual rainfall were analyzed as stationary stochastic processes for spectral analysis. The results revealed exponential decay curves in each radial spectrum, indicating a linear relationship between frequency and amplitude. These curves identified initial impulses correlated with moments of severity for structural damages caused by rainfall-induced degradation. The degradation process, exacerbated by water stress, accelerates, as evidenced by maps illustrating approximately 75% soil damage. In the context of climate change and the uncertainty surrounding soil responses to extreme meteorological events, understanding this phenomenon becomes crucial. Recognizing the dynamic nature of soil responses to environmental stressors is essential for effective soil management. Emphasizing the need to employ numerical processes tailored to new environmental considerations related to observed soil damages is crucial for sustainable soil management practices in any region.

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“…However, incoherence arises due to large deformation gradients, causing notable discrepancies between the obtained line-of-sight (LOS) deformations and the actual values in the nonedge areas of the mining influence ranges. With the advancements in light detection and ranging, TLS has proven effective in achieving high-precision deformation monitoring that is largely unaffected by deformation gradients [15]. TLS possesses peculiarities when utilized for deformation monitoring in mining areas, namely, the need to scan from one station to another and the limited scanning range within a single station.…”

Section: Introductionmentioning

confidence: 99%

LOS Deformation Correction Method for DInSAR in Mining Areas by Fusing Ground Data without Control Points

Li,

Yan,

Cai

2023

Remote Sensing

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The traditional leveling, total station, and global navigation satellite system (GNSS) and the new differential interferometric synthetic aperture radar (DInSAR) and terrestrial laser scanning (TLS) systems have their own advantages and limitations in the deformation monitoring of mining areas. It is difficult to obtain accurate deformation information only using single-source measurement data. In this study, we propose an LOS deformation correction method for DInSAR in mining areas by fusing ground data without control points. Based on free space data, small deformations at the edges of mining influence areas accurately obtained using DInSAR. By combining leveling/GNSS and TLS methods, it was possible to obtain large deformations in central areas without the need for control points located outside the mining influence range. For overcoming the non-uniform coordinates of the “space–ground” data and the limited overlap of the effective measurement ranges, the subsidence prediction model was employed to assist in its fusion. In addition, in LOS deformation correction, we retained the non-full cycle phase of DInSAR and replaced the full cycle phase with the one from the data fusion. Engineering experiments have shown that the correction results preserve the differences in the LOS deformations at the edge areas of the mine influence range, and they recover the lost LOS deformations at the center areas. Using the difference in the LOS deformation before and after correction as the verification indicator, the maximum absolute value of the errors after correction was 143 mm, which was approximately 6.4% of the maximum LOS deformation. In addition, there were still two errors that were large (−112 mm and −89 mm, respectively), and the absolute values of errors were not more than 75 mm. For all errors, the mean absolute value was 36 mm. Compared with 399 mm before correction, the error was reduced by 91%. This study provides technical support and theoretical reference for deformation monitoring and control in mining areas.

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The variance inflation factor to account for correlations in likelihood ratio tests: deformation analysis with terrestrial laser scanners

Cited by 8 publications

References 71 publications

Does atmospheric turbulence affect long-range terrestrial laser scanner observations? A case study in alpine region

Does atmospheric turbulence affect long-range terrestrial laser scanner observations? A case study in alpine region

Rainfall Potential and Consequences on Structural Soil Degradation of the Most Important Agricultural Region of Mexico

LOS Deformation Correction Method for DInSAR in Mining Areas by Fusing Ground Data without Control Points

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