Modeling Space–Time Dynamics of Aerosols Using Satellite Data and Atmospheric Transport Model Output

Kernel-based models for space–time data offer a flexible and descriptive framework for studying atmospheric processes. Nonstationary and anisotropic covariance structures can be readily accommodated by allowing kernel parameters to vary over space and time. In addition, dimension reduction strategies make model fitting computationally feasible for large datasets. Fitting these models to data derived from instruments onboard satellites, which often contain significant amounts of missingness due to cloud cover and retrieval errors, can be difficult. In this paper, we propose to overcome the challenges of missing satellite-derived data by supplementing an analysis with output from a computer model, which contains valuable information about the space–time dependence structure of the process of interest. We illustrate our approach through a case study of aerosol optical depth across mainland Southeast Asia. We include a cross-validation study to assess the strengths and weaknesses of our approach.

[1]  A. O'Hagan,et al.  Bayesian calibration of computer models , 2001 .

[2]  L. Mark Berliner,et al.  Bayesian hierarchical modeling of air-sea interaction , 2003 .

[3]  Christopher K. Wikle,et al.  Hierarchical Bayesian Models for Predicting The Spread of Ecological Processes , 2003 .

[4]  B. Sansó,et al.  Inferring climate system properties using a computer model , 2008 .

[5]  J. Lamarque,et al.  Description and evaluation of the Model for Ozone and Related chemical Tracers, version 4 (MOZART-4) , 2009 .

[6]  Montserrat Fuentes,et al.  Model Evaluation and Spatial Interpolation by Bayesian Combination of Observations with Outputs from Numerical Models , 2005, Biometrics.

[7]  P. Crutzen,et al.  Biomass Burning in the Tropics: Impact on Atmospheric Chemistry and Biogeochemical Cycles , 1990, Science.

[8]  Andrew K. Skidmore,et al.  Land use and land cover , 2002 .

[9]  W. Gilks Markov Chain Monte Carlo , 2005 .

[10]  Murali Haran,et al.  Markov chain Monte Carlo: Can we trust the third significant figure? , 2007, math/0703746.

[11]  Dao Minh Truong,et al.  Shifting Cultivation: A New Old Paradigm for Managing Tropical Forests , 2000 .

[12]  Corinne Le Quéré,et al.  Climate Change 2013: The Physical Science Basis , 2013 .

[13]  Dave Higdon,et al.  Combining Field Data and Computer Simulations for Calibration and Prediction , 2005, SIAM J. Sci. Comput..

[14]  Ke Xu,et al.  A Kernel-Based Spatio-Temporal Dynamical Model for Nowcasting Weather Radar Reflectivities , 2005 .

[15]  David Higdon,et al.  A process-convolution approach to modelling temperatures in the North Atlantic Ocean , 1998, Environmental and Ecological Statistics.

[16]  C. Wikle A kernel-based spectral model for non-Gaussian spatio-temporal processes , 2002 .

[17]  D. Roy,et al.  The MODIS fire products , 2002 .

[18]  Richard L. Smith,et al.  Bayesian Modeling of Uncertainty in Ensembles of Climate Models , 2009 .

[19]  John B. Vogler,et al.  Land-Use and Land-Cover Change in Montane Mainland Southeast Asia , 2005, Environmental management.