A functional regression model for heterogeneous BioGeoChemical Argo data in the Southern Ocean

Fuente: arXiv
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Autores principales: Korte-Stapff, Moritz, Yarger, Drew, Stoev, Stilian, Hsing, Tailen
Formato: Preprint
Publicado: 2022
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author Korte-Stapff, Moritz
Yarger, Drew
Stoev, Stilian
Hsing, Tailen
author_facet Korte-Stapff, Moritz
Yarger, Drew
Stoev, Stilian
Hsing, Tailen
contents Leveraging available measurements of our environment can help us understand complex processes. One example is Argo Biogeochemical data, which aims to collect measurements of oxygen, nitrate, pH, and other variables at varying depths in the ocean. We focus on the oxygen data in the Southern Ocean, which has implications for ocean biology and the Earth's carbon cycle. Systematic monitoring of such data has only recently begun to be established, and the data is sparse. In contrast, Argo measurements of temperature and salinity are much more abundant. In this work, we introduce and estimate a functional regression model describing dependence in oxygen, temperature, and salinity data at all depths covered by the Argo data simultaneously. Our model elucidates important aspects of the joint distribution of temperature, salinity, and oxygen. Due to fronts that establish distinct spatial zones in the Southern Ocean, we augment this functional regression model with a mixture component. By modelling spatial dependence in the mixture component and in the data itself, we provide predictions onto a grid and improve location estimates of fronts. Our approach is scalable to the size of the Argo data, and we demonstrate its success in cross-validation and a comprehensive interpretation of the model.
format Preprint
id arxiv_https___arxiv_org_abs_2211_04012
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A functional regression model for heterogeneous BioGeoChemical Argo data in the Southern Ocean
Korte-Stapff, Moritz
Yarger, Drew
Stoev, Stilian
Hsing, Tailen
Methodology
Applications
Computation
Leveraging available measurements of our environment can help us understand complex processes. One example is Argo Biogeochemical data, which aims to collect measurements of oxygen, nitrate, pH, and other variables at varying depths in the ocean. We focus on the oxygen data in the Southern Ocean, which has implications for ocean biology and the Earth's carbon cycle. Systematic monitoring of such data has only recently begun to be established, and the data is sparse. In contrast, Argo measurements of temperature and salinity are much more abundant. In this work, we introduce and estimate a functional regression model describing dependence in oxygen, temperature, and salinity data at all depths covered by the Argo data simultaneously. Our model elucidates important aspects of the joint distribution of temperature, salinity, and oxygen. Due to fronts that establish distinct spatial zones in the Southern Ocean, we augment this functional regression model with a mixture component. By modelling spatial dependence in the mixture component and in the data itself, we provide predictions onto a grid and improve location estimates of fronts. Our approach is scalable to the size of the Argo data, and we demonstrate its success in cross-validation and a comprehensive interpretation of the model.
title A functional regression model for heterogeneous BioGeoChemical Argo data in the Southern Ocean
topic Methodology
Applications
Computation
url https://arxiv.org/abs/2211.04012