Statistical distributions for air pollution applied to the study of the particulate problem in Santiago

An expression relating the distribution of concentrations of air pollutants to the emission levels is derived and applied to the study of the air pollution problem of Santiago de Chile. Features specific to the area, like the geography and meteorology are included in a stochastic framework. The resulting distribution is simple. It has two parameters which can be easily estimated from the data. It fits well the data from Santiago and is a powerful tool to analyze pollution data and design a mitigation strategy. The methodology developed here can be applied to any city.