Developing a hierarchical model for the spatial analysis of PM10 pollution extremes in the Mexico city metropolitan area
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We implemented a spatial model for analysing PM10 maxima across the Mexico City metropolitan area during the period 1995-2016. We assumed that these maxima follow a non-identical generalized extreme value (GEV) distribution and modeled the trend by introducing multivariate smoothing spline functions into the probability GEV distribution. A flexible, three-stage hierarchical Bayesian approach was developed to analyse the distribution of the PM10 maxima in space and time. We evaluated the statistical model’s performance by using a simulation study. The results showed strong evidence of a positive correlation between the PM10 maxima and the longitude and latitude. The relationship between time and the PM10 maxima was negative, indicating a decreasing trend over time. Finally, a high risk of PM10 maxima presenting levels above 1000 μg/m3 (return period: 25 yr) was observed in the northwestern region of the study area. © 2017 by the authors. Licensee MDPI, Basel, Switzerland.
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Air pollution; Extreme value theory; Markov chain monte carlo (MCMC); Nonstationary; Particulate matter atmospheric pollution; extreme event; Markov chain; metropolitan area; Monte Carlo analysis; particulate matter; spatial analysis; urban pollution; air pollution; latitude; longitude; Markov chain; Mexico City; particulate matter; simulation; spatial analysis; air pollutant; air pollution; analysis; Bayes theorem; city; environmental monitoring; Mexico; particulate matter; spatial analysis; statistical model; statistics and numerical data; Federal District [Mexico]; Mexico City; Mexico [North America]; Air Pollutants; Air Pollution; Bayes Theorem; Cities; Environmental Monitoring; Mexico; Models, Statistical; Particulate Matter; Spatial Analysis
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