December 2023 Multimodel ensemble analysis with neural network Gaussian processes
Trevor Harris, Bo Li, Ryan Sriver
Author Affiliations +
Ann. Appl. Stat. 17(4): 3403-3425 (December 2023). DOI: 10.1214/23-AOAS1768

Abstract

Multimodel ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches, based on model averaging, can dilute fine-scale spatial information and incur bias from rescaling low-resolution climate models. We propose a statistical approach, called NN-GPR, using Gaussian process regression (GPR) with an infinitely wide deep neural network based covariance function. NN-GPR requires no assumptions about the relationships between climate models, no interpolation to a common grid, and automatically downscales as part of its prediction algorithm. Model experiments show that NN-GPR can be highly skillful at surface temperature and precipitation forecasting by preserving geospatial signals at multiple scales and capturing interannual variability. Our projections particularly show improved accuracy and uncertainty quantification skill in regions of high variability, which allows us to cheaply assess tail behavior at a 0.44/50 km spatial resolution without a regional climate model (RCM). Evaluations on reanalysis data and SSP2-4.5 forced climate models show that NN-GPR produces similar, overall climatologies to the model ensemble while better capturing fine-scale spatial patterns. Finally, we compare NN-GPR’s regional predictions against two RCMs and show that NN-GPR can rival the performance of RCMs using only global model data as input.

Funding Statement

B. Li’s research is partially supported by NSF Grants DMS-1830312 and DMS-2124576.
R. Sriver was partially supported by the U.S. Department of Energy, Office of Science, Biological and Environmental Research Program, Earth and Environmental Systems Modeling, MultiSector Dynamics, Contracts No. DE-SC0016162 and DE-SC0022141.

Acknowledgments

The authors would like to thank the anonymous referees, an Associate Editor, and the Editor for their constructive comments that improved the quality of this paper.

Citation

Download Citation

Trevor Harris. Bo Li. Ryan Sriver. "Multimodel ensemble analysis with neural network Gaussian processes." Ann. Appl. Stat. 17 (4) 3403 - 3425, December 2023. https://doi.org/10.1214/23-AOAS1768

Information

Received: 1 March 2022; Revised: 1 April 2023; Published: December 2023
First available in Project Euclid: 30 October 2023

MathSciNet: MR4661704
Digital Object Identifier: 10.1214/23-AOAS1768

Keywords: climate model integration , deep learning , Gaussian process regression , Multimodel ensembles

Rights: Copyright © 2023 Institute of Mathematical Statistics

Vol.17 • No. 4 • December 2023
Back to Top