Articles | Volume 12, issue 1
https://doi.org/10.5194/jsss-12-147-2023
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the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/jsss-12-147-2023
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the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Regular research article
| 
25 Apr 2023
Regular research article |
| 25 Apr 2023
| 25 Apr 2023
Approximate sequential Bayesian filtering to estimate 222Rn emanation from 226Ra sources using spectral time series
Division 6 – Ionizing Radiation, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany
Stefan Röttger
Division 6 – Ionizing Radiation, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany
Annette Röttger
Division 6 – Ionizing Radiation, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany
Related authors
Scott D. Chambers, Alan D. Griffiths, Alastair G. Williams, Ot Sisoutham, Viacheslav Morosh, Stefan Röttger, Florian Mertes, and Annette Röttger
Adv. Geosci., 57, 63–80, https://doi.org/10.5194/adgeo-57-63-2022, https://doi.org/10.5194/adgeo-57-63-2022, 2022
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There is a growing need in health and climate research for high-quality radon observations. A variety of radon monitors, with different uncertainties, operate across global networks. Better compatibility between the measurements is required. Here we describe a novel, portable two-filter radon monitor with a calibration traceable to the International System of Units, and demonstrate the transfer of a traceable calibration from this instrument to a separate monitor under field conditions.
Stefan Röttger, Annette Röttger, Claudia Grossi, Arturo Vargas, Ute Karstens, Giorgia Cinelli, Edward Chung, Dafina Kikaj, Chris Rennick, Florian Mertes, and Ileana Radulescu
Adv. Geosci., 57, 37–47, https://doi.org/10.5194/adgeo-57-37-2022, https://doi.org/10.5194/adgeo-57-37-2022, 2022
Short summary
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Radon gas is the largest source of public exposure to naturally occurring radioactivity. Radon can also be used, as a tracer to improve indirectly the estimates of greenhouse gases important for supporting successful GHG mitigation strategies.
Both climate and radiation protection research communities need improved traceable low-level atmospheric radon measurements. The EMPIR project 19ENV01 traceRadon started to provide the necessary measurement infrastructure and transfer standards.
Tanita J. Ballé, Stefan Röttger, Florian Mertes, Anja Honig, Petr Kovar, Petr P. S. Otáhal, and Annette Röttger
Atmos. Meas. Tech., 17, 2055–2065, https://doi.org/10.5194/amt-17-2055-2024, https://doi.org/10.5194/amt-17-2055-2024, 2024
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Over 50 % of naturally occurring radiation exposure is due to 222Rn (progenies), but traceability of measurements to the International System of Units (SI) is lacking. To address this, two new 222Rn sources were developed to be used as calibration standards for reference instruments. These sources were investigated by comparing their estimated calibration factors for one instrument. Despite the small differences derived, all uncertainties are well within the intended target uncertainty of 10 %.
Roger Curcoll, Claudia Grossi, Stefan Röttger, and Arturo Vargas
EGUsphere, https://doi.org/10.5194/egusphere-2023-2680, https://doi.org/10.5194/egusphere-2023-2680, 2023
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The new version of the Atmospheric Radon MONitor (ARMON) is presented. The monitor efficiency and its linearity over a wide spam of radon concentration activities is evaluated and tested, with a complete budget analysis of the total uncertainty. Results obtained supports the applicability of the ARMON to measure low-level radon activity concentration with an uncertainty lower than 10 % and to be used as transfer standard to calibrate secondary atmospheric radon monitors.
Scott D. Chambers, Alan D. Griffiths, Alastair G. Williams, Ot Sisoutham, Viacheslav Morosh, Stefan Röttger, Florian Mertes, and Annette Röttger
Adv. Geosci., 57, 63–80, https://doi.org/10.5194/adgeo-57-63-2022, https://doi.org/10.5194/adgeo-57-63-2022, 2022
Short summary
Short summary
There is a growing need in health and climate research for high-quality radon observations. A variety of radon monitors, with different uncertainties, operate across global networks. Better compatibility between the measurements is required. Here we describe a novel, portable two-filter radon monitor with a calibration traceable to the International System of Units, and demonstrate the transfer of a traceable calibration from this instrument to a separate monitor under field conditions.
Stefan Röttger, Annette Röttger, Claudia Grossi, Arturo Vargas, Ute Karstens, Giorgia Cinelli, Edward Chung, Dafina Kikaj, Chris Rennick, Florian Mertes, and Ileana Radulescu
Adv. Geosci., 57, 37–47, https://doi.org/10.5194/adgeo-57-37-2022, https://doi.org/10.5194/adgeo-57-37-2022, 2022
Short summary
Short summary
Radon gas is the largest source of public exposure to naturally occurring radioactivity. Radon can also be used, as a tracer to improve indirectly the estimates of greenhouse gases important for supporting successful GHG mitigation strategies.
Both climate and radiation protection research communities need improved traceable low-level atmospheric radon measurements. The EMPIR project 19ENV01 traceRadon started to provide the necessary measurement infrastructure and transfer standards.
Annette Röttger, Attila Veres, Vladimir Sochor, Massimo Pinto, Michal Derlacinski, Mihail-Razvan Ioan, Amra Sabeta, Robert Bernat, Christelle Adam-Guillermin, João Henrique Gracia Alves, Denis Glavič-Cindro, Steven Bell, Britt Wens, Linda Persson, Miloš Živanović, and Reetta Nylund
Adv. Geosci., 57, 1–7, https://doi.org/10.5194/adgeo-57-1-2021, https://doi.org/10.5194/adgeo-57-1-2021, 2021
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The goal of the EMN is a harmonized, sustainable, coordinated and intelligently specialized infrastructure to support the needs expressed in the European Radiation Protection Ordinance. Such an EMN under the umbrella of EURAMET is in the founding phase and is being prepared in parallel by the EMPIR project 19NET03 supportBSS with five technical work packages. EURAMET is the Regional Metrology Organisation (RMO) of Europe. The EMN was established by signature on 16 September 2021.
Related subject area
Measurement theory, uncertainty and modeling of measurements: Measurement uncertainty
Metrological assessment of a robotic total station for use in post-earthquake emergency conditions
Evaluation of precision, accuracy and threshold for the design of vibrotactile feedback in eye tracking applications
Influence of measurement uncertainty on machine learning results demonstrated for a smart gas sensor
Towards efficient application-dependent dimensional measurements with computed tomography: optimized reduction of measurement duration using continuous scan mode: experimental investigations
Structure of digital metrological twins as software for uncertainty estimation
Assessment of uncertainties for measurements of total near-normal emissivity of low-emissivity foils with an industrial emissometer
Measurement uncertainty assessment for virtual assembly
Measurements at laser materials processing machines: spectrum deconvolution including uncertainties and model selection
Determination of the single point precision associated with tactile gear measurements in scanning mode
Determination of the single point uncertainty of customized polymer gear wheels using structured-light scanning with various polygonization settings
Uncertainty evaluation in industrial pressure measurement
Amplitude–phase calibration of tri-axial accelerometers in the low-frequency range by a LDV
Calibration of torque measurement under constant rotation in a wind turbine test bench
Modeling the unified measurement uncertainty of deflectometric and plenoptic 3-D sensors
Sensors 4.0 – smart sensors and measurement technology enable Industry 4.0
Test equipment and its effect on the calibration of instrument transformers
Bilateral comparison for determining the dynamic characteristic values of contact thermometers in fluids
A pathway to eliminate the gas flow dependency of a hydrocarbon sensor for automotive exhaust applications
Statistical characterization of evaluation strategies for fringe projection systems by means of a model-based noise prediction
Evaluation of dynamic measurement uncertainty – an open-source software package to bridge theory and practice
Towards assessing online uncertainty for three-phase flow metering in the oil and gas industry
Giulio D'Emilia and Emanuela Natale
J. Sens. Sens. Syst., 12, 187–195, https://doi.org/10.5194/jsss-12-187-2023, https://doi.org/10.5194/jsss-12-187-2023, 2023
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After an earthquake, many resources are spent to evaluate the level of damage suffered by buildings and infrastructure. To improve the efficiency and reduce the subjectivity of such assessments, a robotic total station (RTS) can be a useful support. This work aims evaluates the performance of a RTS for use in emergency conditions. Furthermore, the analysis of reduced configurations of the monitoring points highlights interesting aspects for defining a standardized, simplified procedure.
Anke Fischer, Thomas M. Wendt, Lukas Stiglmeier, Philipp Gawron, and Kristof Van Laerhoven
J. Sens. Sens. Syst., 12, 103–109, https://doi.org/10.5194/jsss-12-103-2023, https://doi.org/10.5194/jsss-12-103-2023, 2023
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In this work, we investigated whether artificial feedback in the form of vibration has an effect on the accuracy and precision of eye tracking glasses. The results enabled the development of design proposals for vibrotactile feedback in gaze-based control systems for robotic arms.
Tanja Dorst, Tizian Schneider, Sascha Eichstädt, and Andreas Schütze
J. Sens. Sens. Syst., 12, 45–60, https://doi.org/10.5194/jsss-12-45-2023, https://doi.org/10.5194/jsss-12-45-2023, 2023
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A fundamental problem of machine learning (ML) is measurement uncertainty and the influence on ML results. Measurement uncertainty, which is critical in hazardous gas detection, is directly addressed in this paper. A previously published toolbox is extended for regression. One of the benefits of this approach is obtaining a better understanding of where the overall system should be improved. This can be achieved by either improving the trained ML model or using a sensor with higher precision.
Christian Orgeldinger, Florian Wohlgemuth, Andreas Michael Müller, and Tino Hausotte
J. Sens. Sens. Syst., 11, 219–223, https://doi.org/10.5194/jsss-11-219-2022, https://doi.org/10.5194/jsss-11-219-2022, 2022
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Industrial X-ray computed tomography is a holistic measurement technique for dimensional metrology. However, the relatively long measurement time is a hindrance to its application. A possibility to reduce measurement times, the continuous scan mode, is characterized in this work. The question is how much the time reduction impacts the accuracy of the dimensional measurements. The core result of the paper is an estimate of the effect along with experimental proof that this estimate is reasonable.
Ivan Poroskun, Christian Rothleitner, and Daniel Heißelmann
J. Sens. Sens. Syst., 11, 75–82, https://doi.org/10.5194/jsss-11-75-2022, https://doi.org/10.5194/jsss-11-75-2022, 2022
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The paper proposes a structure for the creation of new simulation software for uncertainty estimation. The structure was derived from the well-established VCMM. To make it easy to apply the software structure to specific projects, a supporting software library (written in C++) was created. The library provides all the components necessary to create software for uncertainty estimation. The software structure and library proposed can be used in different domains of metrology.
Jacques Hameury, Guillaume Failleau, Mariacarla Arduini, Jochen Manara, Elena Kononogova, Albert Adibekyan, Christian Monte, Alexander Kirmes, Eric Palacio, and Holger Simon
J. Sens. Sens. Syst., 10, 135–152, https://doi.org/10.5194/jsss-10-135-2021, https://doi.org/10.5194/jsss-10-135-2021, 2021
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A TIR100-2 emissometer is used to measure the emissivity of thermal insulation products using the
low-emissivity effectto increase the thermal resistance, but the uncertainties of measurements on low-emissivity foils were not known. The study allowed the determination of the uncertainty through the detailed analysis of the measurement principle and the determination of the influences of the parameters. The measurement results were validated by comparison to a reference measurement setup.
Manuel Kaufmann, Ira Effenberger, and Marco F. Huber
J. Sens. Sens. Syst., 10, 101–108, https://doi.org/10.5194/jsss-10-101-2021, https://doi.org/10.5194/jsss-10-101-2021, 2021
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Virtual assembly (VA) is a method for the quality prediction of assemblies considering local form deviations of relevant geometries. Point clouds of measured objects are registered in order to recreate the objects’ hypothetical physical assembly state, which is strongly influenced by the measurement uncertainty of individual points. Thus, we studied the propagation of uncertainties by VA. The results reveal larger propagated uncertainties by VA compared to the unconstrained Gaussian best fit.
Rolf Behrens, Björn Pullner, and Marcel Reginatto
J. Sens. Sens. Syst., 10, 13–18, https://doi.org/10.5194/jsss-10-13-2021, https://doi.org/10.5194/jsss-10-13-2021, 2021
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The dose rate and spectral distribution of X-ray emissions from laser materials processing have been determined using a thermoluminescence detector (TLD)-based spectrometer. The penetration depth of the radiation into the spectrometer depends on its energy, so that the energy-resolved spectrum of the radiation can be calculated from the TLD dose values by means of mathematical methods (Bayesian deconvolution). The measurements are traceable to the SI.
Andreas Michael Müller and Tino Hausotte
J. Sens. Sens. Syst., 9, 61–70, https://doi.org/10.5194/jsss-9-61-2020, https://doi.org/10.5194/jsss-9-61-2020, 2020
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The framework of the single point uncertainty presents a methodology to determine the local measurement uncertainty for a measurement setup. The targets of the investigation were spur (involute) steel gear wheels using a CMM in scanning mode in combination with a rotatory table, as well as a single scan of the complete gear profile without the use of a rotatory table, using the
free-form scanCMM functionality. Both methods were examined with respect to their obtained single point uncertainty.
Andreas Michael Müller, Dominik Schubert, Dietmar Drummer, and Tino Hausotte
J. Sens. Sens. Syst., 9, 51–60, https://doi.org/10.5194/jsss-9-51-2020, https://doi.org/10.5194/jsss-9-51-2020, 2020
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This paper aims to demonstrate the complete workflow of the determination of the local measurement uncertainty and its components (systematic and random measurement error) for a given measurement task. It was shown for an optical measurement setup in combination with an industrial X-ray computed tomography reference measurement system that different necessary colouring methods of polymer gear wheels have a measurable influence on the local distribution of the measurement uncertainty.
Nadine Schiering and Olaf Schnelle-Werner
J. Sens. Sens. Syst., 8, 251–259, https://doi.org/10.5194/jsss-8-251-2019, https://doi.org/10.5194/jsss-8-251-2019, 2019
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When using pressure gauges in industry the uncertainty contribution due to the calibration should be expanded by the uncertainty contributions due to specific application. There the end user must investigate these sources or other additional influences. In addition, the new challenges in terms of calibration and traceability when applying Smart Sensor Technologies and Digitally Networked Measurement Systems were addressed.
Giulio D'Emilia, Antonella Gaspari, and Emanuela Natale
J. Sens. Sens. Syst., 8, 223–231, https://doi.org/10.5194/jsss-8-223-2019, https://doi.org/10.5194/jsss-8-223-2019, 2019
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A method for amplitude–phase calibration of tri-axial accelerometers in the low-frequency range is proposed, based on a linear slide, used to excite all the axes of the accelerometer at the same time, and a laser Doppler vibrometer (LDV) as a reference. Results show that the phase is a critical aspect to consider in calibration, more than the amplitude, and the comparison with the theoretical model is useful to verify the hypotheses. Different behaviours result, depending on the measuring chain.
Paula Weidinger, Gisa Foyer, Stefan Kock, Jonas Gnauert, and Rolf Kumme
J. Sens. Sens. Syst., 8, 149–159, https://doi.org/10.5194/jsss-8-149-2019, https://doi.org/10.5194/jsss-8-149-2019, 2019
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To determine the efficiency of multi-MW wind turbines, the torque measurement in wind turbine test benches has to be performed with a high accuracy. To this end, the torque measurement has to be traced to national standards. This can be done by using a novel torque transfer standard in combination with a newly developed torque calibration procedure under constant rotation. The calibration procedure was performed on a wind turbine test bench.
Mathias Ziebarth, Niclas Zeller, Michael Heizmann, and Franz Quint
J. Sens. Sens. Syst., 7, 517–533, https://doi.org/10.5194/jsss-7-517-2018, https://doi.org/10.5194/jsss-7-517-2018, 2018
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We propose a measurement uncertainty model of two complementary optical sensors: a deflectometric and a plenoptic sensor. The deflectometric sensor uses active triangulation and works best on specular surfaces, while the plenoptic sensor uses passive triangulation and works best on textured, diffusely reflecting surfaces. The predicted uncertainties can be used to obtain optimized measurements for varying surface properties. The models are validated exemplarily based on real measurements.
Andreas Schütze, Nikolai Helwig, and Tizian Schneider
J. Sens. Sens. Syst., 7, 359–371, https://doi.org/10.5194/jsss-7-359-2018, https://doi.org/10.5194/jsss-7-359-2018, 2018
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“Industrie 4.0” or the Industrial Internet of Things (IIoT) describe the current (r)evolution in industrial automation and control. This is fundamentally based on smart sensors, which generate data and allow further functionality from self-monitoring and self-configuration to condition monitoring of complex processes. The paper reviews the development of sensor technology over the last 2 centuries and highlights some of the potential that can be achieved with smart sensors and data analysis.
Enrico Mohns and Peter Räther
J. Sens. Sens. Syst., 7, 339–347, https://doi.org/10.5194/jsss-7-339-2018, https://doi.org/10.5194/jsss-7-339-2018, 2018
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Test centres supplying accuracy tests for instrument transformers must provide measurement uncertainties for their quality management. In this work, ratio error and phase displacement of instrument transformers are discussed. The traceability to the national standards of PTB, the attainable uncertainty and the permitted error limits of test equipment for testing instrument transformers are presented.
An example of an uncertainty budget for a current transformer of the class 0,2 S is given.
Silke Augustin, Thomas Fröhlich, Marc Schalles, and Stefan Krummeck
J. Sens. Sens. Syst., 7, 331–337, https://doi.org/10.5194/jsss-7-331-2018, https://doi.org/10.5194/jsss-7-331-2018, 2018
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In the data sheets of the thermometer manufacturers, different specifications can be found to describe the dynamic properties of contact thermometers. The present paper describes the results of a bilateral comparison made for the first time for determining dynamic parameters for two thermocouples in the laboratories of the JUMO GmbH & Co. KG Fulda company and at the Institute of Process Measurement and Sensor Technology of the TU Ilmenau with similar facilities, but different results.
Gunter Hagen, Antonia Harsch, and Ralf Moos
J. Sens. Sens. Syst., 7, 79–84, https://doi.org/10.5194/jsss-7-79-2018, https://doi.org/10.5194/jsss-7-79-2018, 2018
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Monitoring hydrocarbon concentrations in automotive exhausts is affected by flow rate changes. The signal of thermoelectric gas sensors is a thermovoltage. Its origin is a temperature difference that depends on the flow rate. To avoid this noise effect, the sensor can be installed in a defined bypass position. As shown by simulation and experiments, the gas flow around the sensor is almost turbulence-free and the signal only depends on the hydrocarbon concentration and not on the flow rate.
Marc Fischer, Marcus Petz, and Rainer Tutsch
J. Sens. Sens. Syst., 6, 145–153, https://doi.org/10.5194/jsss-6-145-2017, https://doi.org/10.5194/jsss-6-145-2017, 2017
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For optical measurement systems, camera noise is the dominant uncertainty factor when optically cooperative surfaces are measured in a stable environment. In this work it will be shown that the resulting spatial noise can be estimated by means of a noise model. The capability of this approach will be demonstrated for a fringe projection system. This provides a valuable tool for a statistical comparison of different evaluation strategies, which is shown for two different triangulation procedures.
Sascha Eichstädt, Clemens Elster, Ian M. Smith, and Trevor J. Esward
J. Sens. Sens. Syst., 6, 97–105, https://doi.org/10.5194/jsss-6-97-2017, https://doi.org/10.5194/jsss-6-97-2017, 2017
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The challenges in the analysis of dynamic measurements significantly limit the use of existing calibration facilities and mathematical methodologies. Several international research projects have developed methodologies for the treatment of dynamic measurements at the NMI level. The transfer to industry, though, remains challenging. Therefore, this work provides a link from these activities to industrial end-users by means of the new versatile and comprehensive software package
PyDynamic.
M. P. Henry, M. S. Tombs, and F. B. Zhou
J. Sens. Sens. Syst., 3, 97–103, https://doi.org/10.5194/jsss-3-97-2014, https://doi.org/10.5194/jsss-3-97-2014, 2014
Cited articles
Alvarez, M., Luengo, D., and Lawrence, N. D.: Latent force models, J.
Mach. Learn. Res., 5, 9–16, 2009.
Amaku, M., Pascholati, P. R., and Vanin, V. R.: Decay chain differential
equations: Solution through matrix algebra, Comput. Phys. Commun.,
181, 21–23, https://doi.org/10.1016/j.cpc.2009.08.011, 2010.
Barber, D.: Expectation Correction for Smoothed Inference in Switching
Linear Dynamical Systems, J. Mach. Lear. Res., 2,
2515–2540, 2006.
Bateman, H.: Solution of a system of differential equations occuring in the
theory of radioactive transformations, P. Cam. Philos. Soc., 15,
423–427, 1910.
Biraud, S., Ciais, P., Ramonet, M., Simmonds, P., Kazan, V., Monfray, P.,
O'doherty, S., Spain, G., and Jennings, S. G.: Quantification of carbon
dioxide, methane, nitrous oxide and chloroform emissions over Ireland from
atmospheric observations at Mace Head, Tellus B, 54, 41–60, https://doi.org/10.3402/tellusb.v54i1.16647, 2002.
Bradburry, J., Frostig, R., Hawkins, P., Johnson, M. J., Maclaurin, D.,
Necula, G., Paszke, A., van der Plas, J., Wanderman-Milne, S., and Zhang,
Q.: JAX: composable transformations of Python+Numpy programs, GitHub [code],
https://github.com/google/jax (last access: 1 April 2023), 2018.
Chambers, S., Podstawczyńska, A., Pawlak, W., Fortuniak, K., Williams,
A. G., and Griffiths, A. D.: Characterizing the State of the Urban Surface
Layer Using Radon-222, J. Geophys. Res.-Atmos., 124,
770–788, https://doi.org/10.1029/2018JD029507, 2019a.
Chambers, S., Guérette, E.-A., Monk, K., Griffiths, A., Zhang, Y., Duc,
H., Cope, M., Emmerson, K., Chang, L., Silver, J., Utembe, S., Crawford, J.,
Williams, A., and Keywood, M.: Skill-Testing Chemical Transport Models
across Contrasting Atmospheric Mixing States Using Radon-222, Atmosphere,
10, 25, https://doi.org/10.3390/atmos10010025, 2019b.
Chambers, S. D., Williams, A. G., Conen, F., Griffiths, A. D., Reimann, S.,
Steinbacher, M., Krummel, P. B., Steele, L. P., van der Schoot, M. V.,
Galbally, I. E., Molloy, S. B., and Barnes, J. E.: Towards a Universal
“Baseline” Characterisation of Air Masses for High- and Low-Altitude
Observing Stations Using Radon-222, Aerosol. Air Qual. Res., 16,
885–899, https://doi.org/10.4209/aaqr.2015.06.0391, 2016.
Chambers, S. D., Preunkert, S., Weller, R., Hong, S.-B., Humphries, R. S.,
Tositti, L., Angot, H., Legrand, M., Williams, A. G., Griffiths, A. D.,
Crawford, J., Simmons, J., Choi, T. J., Krummel, P. B., Molloy, S., Loh, Z.,
Galbally, I., Wilson, S., Magand, O., Sprovieri, F., Pirrone, N., and
Dommergue, A.: Characterizing Atmospheric Transport Pathways to Antarctica
and the Remote Southern Ocean Using Radon-222, Front. Earth Sci.,
6, 190, https://doi.org/10.3389/feart.2018.00190, 2018.
Darby, S., Hill, D., Auvinen, A., Barros-Dios, J. M., Baysson, H.,
Bochicchio, F., Deo, H., Falk, R., Forastiere, F., Hakama, M., Heid, I.,
Kreienbrock, L., Kreuzer, M., Lagarde, F., Mäkeläinen, I., Muirhead,
C., Oberaigner, W., Pershagen, G., Ruano-Ravina, A., Ruosteenoja, E.,
Rosario, A. S., Tirmarche, M., Tomáscaron;ek, L., Whitley, E., Wichmann,
H.-E., and Doll, R.: Radon in homes and risk of lung cancer: collaborative
analysis of individual data from 13 European case-control studies, BMJ, 330,
223, https://doi.org/10.1136/bmj.38308.477650.63, 2005.
Ebeigbe, D., Berry, T., Schiff, S. J., and Sauer, T.: Poisson Kalman filter
for disease surveillance, Phys. Rev. Res., 2, 043028,
https://doi.org/10.1103/PhysRevResearch.2.043028, 2020.
Eichstädt, S. and Elster, C.: Advanced Mathematical and Computational Tools in Metrology and Testing IX, 84, 126–135, https://doi.org/10.1142/9789814397957_0016, 2012.
Elster, C. and Link, A.: Uncertainty evaluation for dynamic measurements
modelled by a linear time-invariant system, Metrologia, 45, 464–473,
https://doi.org/10.1088/0026-1394/45/4/013, 2008.
Fialova, E., Otahal, P. P. S., Vosahlik, J., and Mazanova, M.: Equipment for
Testing Measuring Devices at a Low-Level Radon Activity Concentration,
Int. J. Environ. Res. Pub. He., 17, 1904,
https://doi.org/10.3390/ijerph17061904, 2020.
Hartikainen, J. and Särkkä, S.: Sequential Inference for Latent
Force Models, arXiv [preprint], https://doi.org/10.48550/arXiv.1202.3730, 2012.
Janik, M., Omori, Y., and Yonehara, H.: Influence of humidity on radon and
thoron exhalation rates from building materials, Appl. Radiat. Isotopes, 95, 102–107, https://doi.org/10.1016/j.apradiso.2014.10.007,
2015.
Joint Committee for Guides in Metrology: Evaluation of measurement data –
Supplement 1 to the, JCGM 101, 90, https://www.bipm.org/documents/20126/2071204/JCGM_101_2008_E.pdf/325dcaad-c15a-407c-1105-8b7f322d651c (last access: 1 April 2023), 2008.
Julier, S., Uhlmann, J., and Durrant-Whyte, H. F.: A new method for the
nonlinear transformation of means and covariances in filters and estimators,
IEEE T. Automat. Contr., 45, 477–482,
https://doi.org/10.1109/9.847726, 2000.
Kalman, R. E.: A New Approach to Linear Filtering and Prediction Problems,
J. Basic Eng.-T. ASME, 82, 35–45, https://doi.org/10.1115/1.3662552,
1960.
Kingma, D. P. and Ba, J.: Adam: A Method for Stochastic Optimization, arXiv [preprint], https://doi.org/10.48550/arXiv.1412.6980, 2014.
Laan, V. Der, Karstens, U., Neubert, R. E. M., Laan-Luijkx, V. Der, and
Meijer, H. A. J.: Observation-based estimates of fossil fuel-derived CO2
emissions in the Netherlands using Δ14C, CO and 222Radon, Tellus B, 62, 389–402,
https://doi.org/10.1111/j.1600-0889.2010.00493.x, 2010.
Levin, I.: Atmospheric CO2 in continental Europe-an alternative approach to
clean air CO2 data, Tellus B, 39, 21–28,
https://doi.org/10.1111/j.1600-0889.1987.tb00267.x, 1987.
Levin, I., Karstens, U., Hammer, S., DellaColetta, J., Maier, F., and Gachkivskyi, M.: Limitations of the radon tracer method (RTM) to estimate regional greenhouse gas (GHG) emissions – a case study for methane in Heidelberg, Atmos. Chem. Phys., 21, 17907–17926, https://doi.org/10.5194/acp-21-17907-2021, 2021.
Levy, E.: Decay chain differential equations: Solutions through matrix
analysis, Comput. Phys. Commun., 234, 188–194,
https://doi.org/10.1016/j.cpc.2018.07.011, 2019.
Link, A. and Elster, C.: Uncertainty evaluation for IIR (infinite impulse
response) filtering using a state-space approach, Meas. Sci.
Technol., 20, 055104, https://doi.org/10.1088/0957-0233/20/5/055104, 2009.
Linzmaier, D. and Röttger, A.: Development of a low-level radon
reference atmosphere, Appl. Radiat. Isotopes, 81, 208–211,
https://doi.org/10.1016/j.apradiso.2013.03.032, 2013.
Mazor, E., Averbuch, A., Bar-Shalom, Y., and Dayan, J.: Interacting multiple
model methods in target tracking: a survey, IEEE T. Aerospace
Elec. Sys., 34, 103–123, https://doi.org/10.1109/7.640267,
1998.
Mertes, F.: FlorianMertes/RadonDeconvolution: Version 1.0 (Release), Zenodo [code] and [data set], https://doi.org/10.5281/zenodo.7798458, 2023.
Mertes, F., Röttger, S., and Röttger, A.: A new primary emanation
standard for Radon-222, Appl. Radiat. Isotopes, 156, 108928,
https://doi.org/10.1016/j.apradiso.2019.108928, 2020.
Meurer, A., Smith, C. P., Paprocki, M., Čertík, O., Kirpichev, S.
B., Rocklin, M., Kumar, Am., Ivanov, S., Moore, J. K., Singh, S.,
Rathnayake, T., Vig, S., Granger, B. E., Muller, R. P., Bonazzi, F., Gupta,
H., Vats, S., Johansson, F., Pedregosa, F., Curry, M. J., Terrel, A. R.,
Roučka, Š., Saboo, A., Fernando, I., Kulal, S., Cimrman, R., and
Scopatz, A.: SymPy: symbolic computing in Python, PeerJ Computer Science, 3,
e103, https://doi.org/10.7717/peerj-cs.103, 2017.
Minka, T. P.: Expectation Propagation for approximate Bayesian inference,
arXiv [preprint], https://doi.org/10.48550/arXiv.1301.2294, 2013.
Nadarajah, N., Tharmarasa, R., McDonald, M., and Kirubarajan, T.: IMM
Forward Filtering and Backward Smoothing for Maneuvering Target Tracking,
IEEE T. Aero. Elec. Sys., 48, 2673–2678,
https://doi.org/10.1109/TAES.2012.6237617, 2012.
Perrino, C., Pietrodangelo, A., and Febo, A.: An atmospheric stability index
based on radon progeny measurements for the evaluation of primary urban
pollution, Atmos. Environ., 35, 5235–5244,
https://doi.org/10.1016/S1352-2310(01)00349-1, 2001.
Pressyanov, D. S.: Short solution of the radioactive decay chain equations,
Am. J. Phys., 70, 444–445,
https://doi.org/10.1119/1.1427084, 2002.
Rauch, H. E., Tung, F., and Striebel, C. T.: Maximum likelihood estimates of
linear dynamic systems, AIAA J., 3, 1445–1450,
https://doi.org/10.2514/3.3166, 1965.
Röttger, A., Honig, A., and Linzmaier, D.: Calibration of commercial
radon and thoron monitors at stable activtiy concentrations, Appl.
Radiat. Isotopes, 87, 44–47,
https://doi.org/10.1016/j.apradiso.2013.11.111, 2014.
Runnalls, A. R.: Kullback-Leibler Approach to Gaussian Mixture Reduction,
IEEE T. Aero. Elec. Sys., 43, 989–999,
https://doi.org/10.1109/TAES.2007.4383588, 2007.
Särkkä, S.: Bayesian filtering and smoothing, Cambridge University
Press, https://doi.org/10.1017/CBO9781139344203, 2013.
Särkkä, S. and Solin, A.: Applied Stochastic Differential Equations,
Cambridge University Press, https://doi.org/10.1017/9781108186735, 2019.
Särkkä, S., Alvarez, M. A., and Lawrence, N. D.: Gaussian Process Latent
Force Models for Learning and Stochastic Control of Physical Systems, IEEE
T. Automat. Contr., 64, 2953–2960,
https://doi.org/10.1109/TAC.2018.2874749, 2019.
Stranden, E., Kolstad, A. K., and Lind, B.: The Influence of Moisture and
Temperature on Radon Exhalation, Radiat. Prot. Dosim., 7, 55–58,
https://doi.org/10.1093/oxfordjournals.rpd.a082962, 1984.
Williams, A. G., Chambers, S., and Griffiths, A.: Bulk Mixing and Decoupling
of the Nocturnal Stable Boundary Layer Characterized Using a Ubiquitous
Natural Tracer, Bound.-Lay. Meteorol., 149, 381–402,
https://doi.org/10.1007/s10546-013-9849-3, 2013.
Williams, A. G., Chambers, S. D., Conen, F., Reimann, S., Hill, M.,
Griffiths, A. D., and Crawford, J.: Radon as a tracer of atmospheric
influences on traffic-related air pollution in a small inland city, Tellus
B, 68, 30967,
https://doi.org/10.3402/tellusb.v68.30967, 2016.
Zhou, Q., Shubayr, N., Carmona, M., Standen, T. M., and Kearfott, K. J.:
Experimental study of dependence on humidity and flow rate for a modified
flowthrough radon source, J. Radioanal. Nucl. Ch.,
324, 673–680, https://doi.org/10.1007/s10967-020-07081-0, 2020.
Short summary
In this work, a novel approach to deduce the release of the natural radioactive noble gas 222Rn from solid sources containing the isotope 226Ra is presented. Therein, supporting radioactivity measurements of the source are used in conjunction with a theoretical description of the dynamics. For radiation protection and environmental research, reliable and comparable 222Rn measurements, and therefore reference atmospheres of 222Rn, are needed. This work improves their realization.
In this work, a novel approach to deduce the release of the natural radioactive noble gas 222Rn...
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