Received: 2 October 2016 Revised: 16 October 2017 Accepted: 17 October 2017
DOI: 10.1002/env.2484
RESEARCH ARTICLE
Accounting for uncertainty in source-specific exposures in
the evaluation of health effects of pollution sources on daily
cause-specific mortality
Eun Sug Park
1
Man-Suk Oh
2
1
Texas A&M Transportation Institute,
College Station, TX 77843-3135, U.S.A.
2
Department of Statistics, Ewha Womans
University, Seoul 120-750 South Korea
Correspondence
Eun Sug Park, Texas A&M Transportation
Institute, 3135 TAMU, College Station, TX
77843-3135, U.S.A.
Email: e-park@tamu.edu
Man-Suk Oh, Department of Statistics,
Ewha Womans University, Seoul 120-750,
Korea.
Email: msoh@ewha.ac.kr
Funding information
Health Effects Institute, Grant/Award
Number: R-82811201; National Research
Foundation of Korea, Grant/Award
Number: 2016R1A2B4008914
Assessment of source-specific health effects has received growing attention in air
pollution epidemiology over the past decade. Regardless of inherent uncertainty
in the assessment of source-specific exposures, only a handful of previous stud-
ies coped with model uncertainty in source apportionment and/or accounted for
exposure measurement error in the estimation of health effects, all under normal
health outcome models. We present a source-specific health effects evaluation
approach within a Bayesian framework that can handle both parameter uncer-
tainty and model uncertainty in source apportionment under Poisson health
outcome models for low daily mortality count data. While the use of a Poisson
health outcome model is apparently more appropriate for low daily mortality
count data for which normal approximation is not justified, it introduces addi-
tional complexity in estimating model uncertainty. We handle this complexity
by introducing appropriate latent variables. The proposed method is illustrated
with simulated data and daily ambient concentrations of the chemical composi-
tion of fine particulate matter (PM
2.5
), weather data, and counts of deaths from
pneumonia in older adults (≥65 years of age) in Houston, Texas, from January
2002 to August 2005.
KEYWORDS
exposure measurement error, model uncertainty, mortality from pneumonia, multipollutant
approach, PM health effects
1 INTRODUCTION
In air pollution epidemiology studies, the time series studies are often employed for estimating the acute effects of air
pollution on health. In time series studies, each observation of the outcome could be a count indicating the number of
deaths or hospital admissions that occurred on day t. With time series of counts, the most commonly used model is the
log-linear Poisson model, taking the health outcome variable to be Poisson with mean including the terms for the exposure
of interest (e.g., air pollution levels) and other potential confounders (Peng & Dominici, 2008).
Estimating health effects of source-specific exposures rather than pollutant-specific exposures has received increas-
ing attention in air pollution epidemiology over the past decade (see, e.g., Bell et al., 2014; Dominici, Peng, Barr, &
Belle, 2010). From a regulation standpoint, assessing the health effects of specific sources or group of sources
(i.e., source-specific health effects) is more advantageous than assessing the health effects of individual pollutants
Environmetrics. 2018;29:e2484. wileyonlinelibrary.com/journal/env Copyright © 2017 John Wiley & Sons, Ltd. 1 of 15
https://doi.org/10.1002/env.2484