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Exploration of the use of Bayesian modeling of gradients for censored spatiotemporal data from the Deepwater Horizon oil spill
Journal article   Open access   Peer reviewed

Exploration of the use of Bayesian modeling of gradients for censored spatiotemporal data from the Deepwater Horizon oil spill

Harrison Quick, Caroline Groth, Sudipto Banerjee, Bradley P. Carlin, Mark R. Stenzel, Patricia A. Stewart, Dale P. Sandler, Lawrence S. Engel and Richard K. Kwok
Spatial statistics, v 9(C), pp 166-179
Aug 2014
PMID: 25599019
url
https://europepmc.org/articles/pmc4294982View
Accepted (AM)Open Access (License Unspecified) Open

Abstract

Censored data Gaussian process Gradients Hierarchical modeling Markov chain Monte Carlo Spatiotemporal data
This paper develops a hierarchical framework for identifying spatiotemporal patterns in data with a high degree of censoring using the gradient process. To do this, we impute censored values using a sampling-based inverse CDF method within our Markov chain Monte Carlo algorithm, thereby avoiding burdensome integration and facilitating efficient estimation of other model parameters. We illustrate use of our methodology using a simulated data example, and uncover the danger of simply substituting a space- and time-constant function of the level of detection for all missing values. We then fit our model to area measurement data of volatile organic compound (VOC) air concentrations collected on vessels supporting the response and clean-up efforts of the Deepwater Horizon oil release that occurred starting April 20, 2010. These data contained a high percentage of observations below the detectable limits of the measuring instrument. Despite this, we were still able to make some interesting discoveries, including elevated levels of VOC near the site of the oil well on June 26th. Using the results from this preliminary analysis, we hope to inform future research on the Deepwater Horizon study, including the use of gradient methods for assigning workers to exposure categories.

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Collaboration types
Domestic collaboration
Web of Science research areas
Geosciences, Multidisciplinary
Mathematics, Interdisciplinary Applications
Remote Sensing
Statistics & Probability
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