Spatiotemporal Transformer for Imputing Sparse Data: A Deep Learning Approach

Abstract: Effective management of environmental resources and agricultural sustainability heavily depends on accurate soil moisture data. However, datasets like the SMAP/Sentinel-1 soil moisture product often contain missing values across their spatiotemporal grid, which poses a significant challenge. This paper introduces a novel Spatiotemporal Transformer model (ST-Transformer) specifically designed to address the issue of missing values in sparse spatiotemporal datasets, particularly focusing on soil moisture data. The ST-Transformer employs multiple spatiotemporal attention layers to capture the complex spatiotemporal correlations in the data and can integrate additional spatiotemporal covariates during the imputation process, thereby enhancing its accuracy. The model is trained using a self-supervised approach, enabling it to autonomously predict missing values from observed data points. Our model's efficacy is demonstrated through its application to the SMAP 1km soil moisture data over a 36 x 36 km grid in Texas. It showcases superior accuracy compared to well-known imputation methods. Additionally, our simulation studies on other datasets highlight the model's broader applicability in various spatiotemporal imputation tasks.