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This study quantifies the association between air pollution and mortality in Ontario, Canada. Exposure-response relationships in air pollution epidemiology are complex due to three features: time-lagged associations, non-linear…

Methodology · Statistics 2026-04-27 Tianyi Pan , Hwashin Hyun Shin , Alex Stringer , Glen McGee

Maternal exposure to air pollution during pregnancy has a substantial public health impact. Epidemiological evidence supports an association between maternal exposure to air pollution and low birth weight. A popular method to estimate this…

In studies of maternal exposure to air pollution a children's health outcome is regressed on exposures observed during pregnancy. The distributed lag nonlinear model (DLNM) is a statistical method commonly implemented to estimate an…

Methodology · Statistics 2021-06-16 Daniel Mork , Ander Wilson

Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non-linear exposure-lag-response relationships and delayed impacts over time. Accurately…

Methodology · Statistics 2025-12-02 Álvaro Briz-Redón , Ana Corberán-Vallet , Adina Iftimi , Carmen Íñiguez

The relationship between short-term exposure to air pollution and mortality or morbidity has been the subject of much recent research, in which the standard method of analysis uses Poisson linear or additive models. In this paper we use a…

Applications · Statistics 2012-01-27 Duncan Lee , Gavin Shaddick

In environmental health research there is often interest in the effect of an exposure on a health outcome assessed on the same day and several subsequent days or lags. Distributed lag nonlinear models (DLNM) are a well-established…

Methodology · Statistics 2023-10-05 Daniel Mork , Ander Wilson

Distributed lag non-linear models (DLNM) have gained popularity for modeling nonlinear lagged relationships between exposures and outcomes. When applied to spatially referenced data, these models must account for spatial dependence, a…

Distributed lag non-linear models (DLNMs) are a popular approach to flexibly model the effect of time-delayed exposures. Classical DLNMs specify a common exposure-lag-response relationship across geographical areas. However, this…

Methodology · Statistics 2026-03-20 Sara Rutten , Thomas Neyens , Elisa Duarte , Antonio Gasparrini , Christel Faes

Epidemiological evidence supports an association between exposure to air pollution during pregnancy and birth and child health outcomes. Typically, such associations are estimated by regressing an outcome on daily or weekly measures of…

Exposure to environmental pollutants during the gestational period can significantly impact infant health outcomes, such as birth weight and neurological development. Identifying critical windows of susceptibility, which are specific…

Applications · Statistics 2024-08-19 Yisen Jin , Aaron J. Molstad , Ander Wilson , Joseph Antonelli

Distributed lag models are useful in environmental epidemiology as they allow the user to investigate critical windows of exposure, defined as the time period during which exposure to a pollutant adversely affects health outcomes. Recent…

Methodology · Statistics 2021-08-02 Joseph Antonelli , Ander Wilson , Brent Coull

According to the Lancet report on the global burden of disease published in October 2020, air pollution is among the five highest risk factors for global health, reducing life expectancy on average by 20 months. This paper describes a…

Applications · Statistics 2023-01-18 D K Arvind , S Maiya

When examining the relationship between an exposure and an outcome, there is often a time lag between exposure and the observed effect on the outcome. A common statistical approach for estimating the relationship between the outcome and…

Methodology · Statistics 2025-04-28 Seongwon Im , Ander Wilson , Daniel Mork

When exposure measurement error (EME), confounder measurement error (CME), or both are present, health effect estimates regarding exposure mixtures and critical exposure time-window may not represent the true effects. For example, in air…

Statistics Theory · Mathematics 2025-05-28 Honghyok Kim

Epidemiological research supports an association between maternal exposure to air pollution during pregnancy and adverse children's health outcomes. Advances in exposure assessment and statistics allow for estimation of both critical…

Distributed Lag Models (DLMs) and similar regression approaches such as MIDAS have been used for many decades in econometrics and more recently to investigate how poor air quality adversely affects human health. In this paper we describe…

Methodology · Statistics 2025-01-30 Daniel Dempsey , Jason Wyse

This paper presents an approach to estimating the health effects of an environmental hazard. The approach is general in nature, but is applied here to the case of air pollution. It uses a computer model involving ambient pollution and…

Applications · Statistics 2007-11-01 Gavin Shaddick , Duncan Lee , James V. Zidek , Ruth Salway

Estimation of the long-term health effects of air pollution is a challenging task, especially when modelling small-area disease incidence data in an ecological study design. The challenge comes from the unobserved underlying spatial…

Methodology · Statistics 2013-05-24 Duncan Lee , Alastair Rushworth , Sujit K. Sahu

Exposure to diverse non-genetic factors, known as the exposome, is a critical determinant of health outcomes. However, analyzing the exposome presents significant methodological challenges, including: high collinearity among exposures, the…

Methodology · Statistics 2025-10-10 Matteo Amestoy , Mark van de Wiel , Jeroen Lakerveld , Wessel van Wieringen

This work is motivated by analyses of longitudinal data collected from participants in the Quebec Longitudinal Study of Child Development (QLSCD) and the Quebec Newborn Twin Study (QNTS) to identify important genetic predictors for…

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