Functional data decomposition reveals unexpectedly strong soil moisture-precipitation coupling over the Great Plains

Fuente: arXiv
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Main Authors: Gao, Yifu, Li, Runze, Foufoula-Georgiou, Efi, Vrugt, Jasper A.
Format: Preprint
Published: 2025
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author Gao, Yifu
Li, Runze
Foufoula-Georgiou, Efi
Vrugt, Jasper A.
author_facet Gao, Yifu
Li, Runze
Foufoula-Georgiou, Efi
Vrugt, Jasper A.
contents Soil moisture-precipitation coupling (SMPC) plays a critical role in Earth's water and energy cycles but remains difficult to quantify due to synoptic-scale variability and the complex interplay of land-atmosphere processes. Here, we apply high-dimensional model representation (HDMR) to functionally decompose the structural, correlative, and cooperative contributions of key land-atmosphere variables to precipitation. Benchmark tests confirm that HDMR overcomes limitations of commonly used correlation and regression approaches in isolating direct versus indirect effects. For example, analysis of gross primary productivity using a light-use-efficiency model shows that linear regression underestimates the temperature effect, while HDMR captures it accurately. Applying HDMR to CONUS404 reanalysis data reveals that morning soil moisture explains up to 40 percent of the variance in summertime afternoon precipitation over the Great Plains, more than double prior estimates. On days with afternoon rainfall (12-hour totals of 4.7-8.2 mm), first-order SM effects can boost precipitation by up to 8 mm under wet conditions, with an additional 3 mm from second-order interactions involving temperature and moisture. By capturing real-world co-variability and higher-order effects, HDMR provides a physically grounded, data-driven framework for diagnosing land-atmosphere coupling. These results underscore the need for more nuanced, interaction-aware data analysis methods in climate modeling and prediction.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13939
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Functional data decomposition reveals unexpectedly strong soil moisture-precipitation coupling over the Great Plains
Gao, Yifu
Li, Runze
Foufoula-Georgiou, Efi
Vrugt, Jasper A.
Atmospheric and Oceanic Physics
Applications
Soil moisture-precipitation coupling (SMPC) plays a critical role in Earth's water and energy cycles but remains difficult to quantify due to synoptic-scale variability and the complex interplay of land-atmosphere processes. Here, we apply high-dimensional model representation (HDMR) to functionally decompose the structural, correlative, and cooperative contributions of key land-atmosphere variables to precipitation. Benchmark tests confirm that HDMR overcomes limitations of commonly used correlation and regression approaches in isolating direct versus indirect effects. For example, analysis of gross primary productivity using a light-use-efficiency model shows that linear regression underestimates the temperature effect, while HDMR captures it accurately. Applying HDMR to CONUS404 reanalysis data reveals that morning soil moisture explains up to 40 percent of the variance in summertime afternoon precipitation over the Great Plains, more than double prior estimates. On days with afternoon rainfall (12-hour totals of 4.7-8.2 mm), first-order SM effects can boost precipitation by up to 8 mm under wet conditions, with an additional 3 mm from second-order interactions involving temperature and moisture. By capturing real-world co-variability and higher-order effects, HDMR provides a physically grounded, data-driven framework for diagnosing land-atmosphere coupling. These results underscore the need for more nuanced, interaction-aware data analysis methods in climate modeling and prediction.
title Functional data decomposition reveals unexpectedly strong soil moisture-precipitation coupling over the Great Plains
topic Atmospheric and Oceanic Physics
Applications
url https://arxiv.org/abs/2506.13939