Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics

The societal importance of weather drives a continuous effort to improve short- and long-term numerical weather prediction. A better knowledge of the conditions in the stratosphere, the atmospheric region from 10 to 50 kilometers altitude, could be key in enhancing long-term weather forecasts on the...

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Published in:Mathematical Geosciences
Main Author: Eggen, Mari Dahl
Format: Doctoral or Postdoctoral Thesis
Language:English
Published: 2023
Subjects:
Online Access:http://hdl.handle.net/10852/104676
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spelling ftoslouniv:oai:www.duo.uio.no:10852/104676 2023-10-09T21:49:07+02:00 Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics Eggen, Mari Dahl 2023 http://hdl.handle.net/10852/104676 en eng Paper I Benth, F.E, Eggen, M.D. and Eisenberg, P. “Ornstein-Uhlenbeck processes in Hilbert space and autoregressive moving-average time series”. Manuscript in preparation for submission. To be published. The paper is removed from the thesis in DUO awaiting publishing. Paper II Eggen, M.D., Dahl, K.R., Näsholm, S.P. and Mæland, S. “Stochastic modeling of stratospheric temperature”. In: Math Geosci. Vol. 54, no. 4 (2022), pp. 651—678. An author version is included in the thesis. The published version is available at: https://doi.org/10.1007/s11004-021-09990-6 Paper III Eggen, M.D. “The multivariate ARMA/CARMA transformation relation”. Review received from Scandinavian Journal of Statistics. Manuscript in preparation for resubmission. To be published. The paper is removed from the thesis in DUO awaiting publishing. Paper IV Eggen, M.D. and Midtfjord, A.D. “Delay-SDE-net: A deep learning approach for time series modelling with memory and uncertainty estimates”. Review received from Journal of Machine Learning Research. Manuscript in preparation for resubmission. To be published. The paper is removed from the thesis in DUO awaiting publishing. Paper V Eggen, M.D., Vorobeva, E., Midtfjord, A.D., Benth, F.E., Hupe, P., Brissaud, Q., Orsolini, Y. and Näsholm, S.P. “Near real-time stratospheric circulation diagnostics based on high-latitude infrasound data using a stochastics-founded machine learning model”. Manuscript in preparation for submission. To be published. The paper is removed from the thesis in DUO awaiting publishing. https://doi.org/10.1007/s11004-021-09990-6 http://hdl.handle.net/10852/104676 Doctoral thesis Doktoravhandling 2023 ftoslouniv https://doi.org/10.1007/s11004-021-09990-6 2023-09-13T22:39:26Z The societal importance of weather drives a continuous effort to improve short- and long-term numerical weather prediction. A better knowledge of the conditions in the stratosphere, the atmospheric region from 10 to 50 kilometers altitude, could be key in enhancing long-term weather forecasts on the Earth’s surface. Due to sparseness of stratospheric wind observations, this thesis aims at contributing to the development of remote sensing techniques. Infrasound is inaudible low-frequency sound generated by, for example, ocean waves. These sound waves undergo little damping and can travel for long distances through atmospheric waveguides that include the stratosphere. Infrasound that has passed through the stratosphere to be recorded at ground level carries information about the wind and temperature of this region. This implies that if the signal characteristics are sufficiently interpreted and described, ground-based measurements of infrasound could function as a form of stratospheric remote sensing. In this thesis, mathematical modelling and machine learning techniques are developed to relate infrasound recordings to stratospheric weather dynamics. A derived model is verified by estimating stratospheric winds in the Arctic region solely from ground-based infrasound data. The results indicate a potential for using these low-frequency sound waves for near real-time probing of stratospheric winds. Doctoral or Postdoctoral Thesis Arctic Universitet i Oslo: Digitale utgivelser ved UiO (DUO) Arctic Mathematical Geosciences 54 4 651 678
institution Open Polar
collection Universitet i Oslo: Digitale utgivelser ved UiO (DUO)
op_collection_id ftoslouniv
language English
description The societal importance of weather drives a continuous effort to improve short- and long-term numerical weather prediction. A better knowledge of the conditions in the stratosphere, the atmospheric region from 10 to 50 kilometers altitude, could be key in enhancing long-term weather forecasts on the Earth’s surface. Due to sparseness of stratospheric wind observations, this thesis aims at contributing to the development of remote sensing techniques. Infrasound is inaudible low-frequency sound generated by, for example, ocean waves. These sound waves undergo little damping and can travel for long distances through atmospheric waveguides that include the stratosphere. Infrasound that has passed through the stratosphere to be recorded at ground level carries information about the wind and temperature of this region. This implies that if the signal characteristics are sufficiently interpreted and described, ground-based measurements of infrasound could function as a form of stratospheric remote sensing. In this thesis, mathematical modelling and machine learning techniques are developed to relate infrasound recordings to stratospheric weather dynamics. A derived model is verified by estimating stratospheric winds in the Arctic region solely from ground-based infrasound data. The results indicate a potential for using these low-frequency sound waves for near real-time probing of stratospheric winds.
format Doctoral or Postdoctoral Thesis
author Eggen, Mari Dahl
spellingShingle Eggen, Mari Dahl
Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
author_facet Eggen, Mari Dahl
author_sort Eggen, Mari Dahl
title Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
title_short Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
title_full Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
title_fullStr Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
title_full_unstemmed Stochastic differential equations with memory and relations - Modelling of stratospheric dynamics
title_sort stochastic differential equations with memory and relations - modelling of stratospheric dynamics
publishDate 2023
url http://hdl.handle.net/10852/104676
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_relation Paper I Benth, F.E, Eggen, M.D. and Eisenberg, P. “Ornstein-Uhlenbeck processes in Hilbert space and autoregressive moving-average time series”. Manuscript in preparation for submission. To be published. The paper is removed from the thesis in DUO awaiting publishing.
Paper II Eggen, M.D., Dahl, K.R., Näsholm, S.P. and Mæland, S. “Stochastic modeling of stratospheric temperature”. In: Math Geosci. Vol. 54, no. 4 (2022), pp. 651—678. An author version is included in the thesis. The published version is available at: https://doi.org/10.1007/s11004-021-09990-6
Paper III Eggen, M.D. “The multivariate ARMA/CARMA transformation relation”. Review received from Scandinavian Journal of Statistics. Manuscript in preparation for resubmission. To be published. The paper is removed from the thesis in DUO awaiting publishing.
Paper IV Eggen, M.D. and Midtfjord, A.D. “Delay-SDE-net: A deep learning approach for time series modelling with memory and uncertainty estimates”. Review received from Journal of Machine Learning Research. Manuscript in preparation for resubmission. To be published. The paper is removed from the thesis in DUO awaiting publishing.
Paper V Eggen, M.D., Vorobeva, E., Midtfjord, A.D., Benth, F.E., Hupe, P., Brissaud, Q., Orsolini, Y. and Näsholm, S.P. “Near real-time stratospheric circulation diagnostics based on high-latitude infrasound data using a stochastics-founded machine learning model”. Manuscript in preparation for submission. To be published. The paper is removed from the thesis in DUO awaiting publishing.
https://doi.org/10.1007/s11004-021-09990-6
http://hdl.handle.net/10852/104676
op_doi https://doi.org/10.1007/s11004-021-09990-6
container_title Mathematical Geosciences
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