Spatial Interpolation of BDS/GNSS Precipitable Water Vapor Using LimiX in the Beijing–Tianjin–Hebei Region

Ground-based BeiDou Navigation Satellite System/Global Navigation Satellite System (BDS/GNSS) observations can be used to retrieve precipitable water vapor (PWV) at high temporal resolution, but the estimates are confined to discrete station locations. We applied the pretrained tabular regression model LimiX, using its 2M variant, to PWV interpolation over the Beijing–Tianjin–Hebei region in 2024. Station spatial features paired with PWV estimates served as context without regional retraining. Comparisons with inverse distance weighting, ordinary kriging, universal kriging, and geographically weighted regression used PWV derived from the ERA5 reanalysis and a separate fixed-station holdout experiment. Against ERA5, LimiX had an annual mean absolute difference of 1.1 mm and a root mean square difference of 1.5 mm. Its spatial correlation coefficient (SCC) was 0.97. LimiX had the lowest root mean square difference relative to ERA5 in all seasons and months. Interpolation validation against observations at 13 withheld GNSS stations gave an annual root mean square error of 1.3 mm, close to both kriging methods. During a heavy precipitation event on 9–10 August 2024, mean PWV began increasing before quantitative precipitation estimation (QPE) rose markedly and remained elevated after the QPE peak. High-PWV and high-QPE areas overlapped locally at some epochs. LimiX combined close ERA5 agreement with station-level interpolation errors comparable to kriging, providing regional PWV fields without retraining for the study area.

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Publication Details

Journal
Applied Sciences
Published
2026-10-09
DOI
https://doi.org/10.3390/app16209989
Primary Topic
GNSS positioning and interference
Type
article
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article

Spatial Interpolation of BDS/GNSS Precipitable Water Vapor Using LimiX in the Beijing–Tianjin–Hebei Region

Linghao Zhou, Panpan Zhao, Hong Yan Liang, 德斌 苏 et al.
Applied Sciences
GNSS positioning and interference
article

Spatial Interpolation of BDS/GNSS Precipitable Water Vapor Using LimiX in the Beijing–Tianjin–Hebei Region

Linghao Zhou, Panpan Zhao, Hong Yan Liang, 德斌 苏, Yu Hu, Yunchang Cao, Yuyang Zhu, Chen Su
article en

Abstract

Ground-based BeiDou Navigation Satellite System/Global Navigation Satellite System (BDS/GNSS) observations can be used to retrieve precipitable water vapor (PWV) at high temporal resolution, but the estimates are confined to discrete station locations. We applied the pretrained tabular regression model LimiX, using its 2M variant, to PWV interpolation over the Beijing–Tianjin–Hebei region in 2024. Station spatial features paired with PWV estimates served as context without regional retraining. Comparisons with inverse distance weighting, ordinary kriging, universal kriging, and geographically weighted regression used PWV derived from the ERA5 reanalysis and a separate fixed-station holdout experiment. Against ERA5, LimiX had an annual mean absolute difference of 1.1 mm and a root mean square difference of 1.5 mm. Its spatial correlation coefficient (SCC) was 0.97. LimiX had the lowest root mean square difference relative to ERA5 in all seasons and months. Interpolation validation against observations at 13 withheld GNSS stations gave an annual root mean square error of 1.3 mm, close to both kriging methods. During a heavy precipitation event on 9–10 August 2024, mean PWV began increasing before quantitative precipitation estimation (QPE) rose markedly and remained elevated after the QPE peak. High-PWV and high-QPE areas overlapped locally at some epochs. LimiX combined close ERA5 agreement with station-level interpolation errors comparable to kriging, providing regional PWV fields without retraining for the study area.

Applied SciencesVol. 16(20)
China Meteorological Administration (CN), Chengdu University of Information Technology (CN), Guilin University of Electronic Technology (CN)
Openalex Percentile: Top 17%
GNSS positioning and interference
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Spatial Interpolation of BDS/GNSS Precipitable Water Vapor Using LimiX in the Beijing–Tianjin–Hebei Region — Linghao Zhou, Panpan Zhao, et al. · Applied Sciences (2026) | TGRS Research Map | TGRS