Scalable Semiparametric Spatio-temporal Regression for Large Data Analysis

Ting Fung Ma (), Fangfang Wang (), Jun Zhu (), Anthony R. Ives () and Katarzyna E. Lewińska ()
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Ting Fung Ma: University of South Carolina
Fangfang Wang: Worcester Polytechnic Institute
Jun Zhu: University of Wisconsin-Madison
Anthony R. Ives: University of Wisconsin-Madison
Katarzyna E. Lewińska: University of Wisconsin-Madison

Journal of Agricultural, Biological and Environmental Statistics, 2023, vol. 28, issue 2, No 5, 279-298

Abstract: Abstract With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here, we develop spatio-temporal regression methodology for analyzing large amounts of spatially referenced data collected over time, motivated by environmental studies utilizing remotely sensed satellite data. In particular, we specify a semiparametric autoregressive model without the usual Gaussian assumption and devise a computationally scalable procedure that enables the regression analysis of large datasets. We estimate the model parameters by maximum pseudolikelihood and show that the computational complexity can be reduced from cubic to linear of the sample size. Asymptotic properties under suitable regularity conditions are further established that inform the computational procedure to be efficient and scalable. A simulation study is conducted to evaluate the finite-sample properties of the parameter estimation and statistical inference. We illustrate our methodology by a dataset with over 2.96 million observations of annual land surface temperature, and comparison with an existing state-of-the-art approach to spatio-temporal regression highlights the advantages of our method. Supplementary materials accompanying this paper appear online.

Keywords: Environmental statistics; Remote sensing; Sparse matrix operations; Spatio-temporal autoregression (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13253-022-00525-y

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