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Analysis of the spatiotemporal velocity of annual precipitation based on random field

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  • Chenlong Li
  • Yang Hu

Abstract

Changes in precipitation directly impact river runoff volume, subsequently influencing food production, and the security of downstream urban areas. In this study, we introduce a random velocity field (RVF) capable of performing multi-step predictions while providing interpretable insights into precipitation variations. The RVF leverages the gradient of a Gaussian random field to learn spatiotemporal velocity patterns and employs a predictive process to reduce dimensionality and enable multi-step forecasting. Bayesian parameter estimation is obtained using the Markov Chain Monte Carlo (MCMC) method. Our analysis reveals a noticeable shifting trend in annual precipitation based on diverse real datasets. This trend serves as a valuable foundation for further exploration of urban flood control and agricultural development strategies.

Suggested Citation

  • Chenlong Li & Yang Hu, 2025. "Analysis of the spatiotemporal velocity of annual precipitation based on random field," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(4), pages 1232-1249, February.
  • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:4:p:1232-1249
    DOI: 10.1080/03610926.2024.2330678
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