Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Inferring Atmospheric Release Characteristics in a Large Computer Experiment using Bayesian Adaptive Splines

Journal Article · · Journal of the American Statistical Association
 [1];  [2];  [3];  [4];  [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of California, Santa Cruz, CA (United States)
  3. Climate Corporation, San Francisco, CA (United States)
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

An atmospheric release of hazardous material, whether accidental or intentional, can be catastrophic for those in the path of the plume. Predicting the path of a plume based on characteristics of the release (location, amount and duration) and meteorological conditions is an active research area highly relevant for emergency and long-term response to these releases. As a result, researchers have developed particle dispersion simulators to provide plume path predictions that incorporate release characteristics and meteorological conditions. However, since release characteristics and meteorological conditions are often unknown, the inverse problem is of great interest, that is, based on all the observations of the plume so far, what can be inferred about the release characteristics? This is the question we seek to answer using plume observations from a controlled release at the Diablo Canyon Nuclear Power Plant in Central California. With access to a large number of evaluations of a computationally expensive particle dispersion simulator that includes continuous and categorical inputs and spatio-temporal output, building a fast statistical surrogate model (or emulator) presents many statistical challenges, but is an essential tool for inverse modeling and sensitivity analysis. We achieve accurate emulation using Bayesian adaptive splines to model weights on empirical orthogonal functions. Here, we use this emulator as well as appropriately identifiable simulator discrepancy and observational error models to calibrate the simulator, thus finding a posterior distribution of characteristics of the release. Since the release was controlled, these characteristics are known, making it possible to compare our findings to the truth.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001; AC52-07NA27344
OSTI ID:
1494474
Alternate ID(s):
OSTI ID: 1822600
Report Number(s):
LA-UR--18-21836; LLNL-JRNL--732282
Journal Information:
Journal of the American Statistical Association, Journal Name: Journal of the American Statistical Association Journal Issue: 528 Vol. 114; ISSN 0162-1459
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English

References (38)

Spline Regression in the Presence of Categorical Predictors: SPLINE REGRESSION IN THE PRESENCE OF CATEGORICAL PREDICTORS journal September 2014
Design and analysis of computer experiments journal December 2010
Efficient sampling schemes for Bayesian MARS models with many predictors journal April 2005
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates journal February 2001
A calibration and data assimilation method using the Bayesian MARS emulator journal February 2013
Bayesian MARS journal December 1998
A process-convolution approach to modelling temperatures in the North Atlantic Ocean journal January 1998
A Latent Variable Approach to Gaussian Process Modeling with Qualitative and Quantitative Factors journal August 2019
Spline-Based Emulators for Radiative Shock Experiments With Measurement Error journal June 2013
Calibration of Computational Models With Categorical Parameters and Correlated Outputs via Bayesian Smoothing Spline ANOVA journal January 2015
Evaluation of a Puff Dispersion Model in Complex Terrain journal March 1992
Local Gaussian Process Approximation for Large Computer Experiments journal April 2015
Reversible jump Markov chain Monte Carlo computation and Bayesian model determination journal January 1995
Bayesian calibration of computer models journal August 2001
Gaussian predictive process models for large spatial data sets journal September 2008
Kalman Filter and Analog Schemes to Postprocess Numerical Weather Predictions journal November 2011
A Framework for Validation of Computer Models journal May 2007
Gaussian Process Models for Computer Experiments With Qualitative and Quantitative Factors journal August 2008
Computer Model Calibration Using High-Dimensional Output journal June 2008
Mixtures of g Priors for Bayesian Variable Selection journal March 2008
Bayesian Treed Gaussian Process Models With an Application to Computer Modeling journal September 2008
Bayesian Data Analysis book November 2013
BART: Bayesian additive regression trees journal March 2010
Modularization in Bayesian analysis, with emphasis on analysis of computer models journal March 2009
Efficient emulators of computer experiments using compactly supported correlation functions, with an application to cosmology journal December 2011
Calibrating a large computer experiment simulating radiative shock hydrodynamics journal September 2015
Multivariate Adaptive Regression Splines journal March 1991
Design and Analysis of Computer Experiments journal November 1989
An Adaptive Metropolis Algorithm journal April 2001
Design and analysis of computer experiments conference September 1998
BART: Bayesian additive regression trees text January 2008
Calibrating a large computer experiment simulating radiative shock hydrodynamics text January 2014
Bayesian inverse modeling of the atmospheric transport and emissions of a controlled tracer release from a nuclear power plant journal January 2017
Technical note: The Lagrangian particle dispersion model FLEXPART version 6.2 journal January 2005
Local Gaussian Process Approximation for Large Computer Experiments text January 2015
Local Gaussian process approximation for large computer experiments text January 2015
Calibration of Computational Models With Categorical Parameters and Correlated Outputs via Bayesian Smoothing Spline ANOVA text January 2015
Calibration of Computational Models with Categorical Parameters and Correlated Outputs via Bayesian Smoothing Spline ANOVA. text January 2015