A Multivariate Approach for the Analysis of Spatially Correlated Environmental Data
Journal of Environmental Informatics 5 (1) 9-16 (2005)
05JEI00041 1726-2135/1684-8799 © 2005 ISEIS www.iseis.org/jei doi:10.3808/jei.200500041
A Multivariate Approach for the Analysis of Spatially Correlated Environmental Data
A. Lamberti1* and E. Nissi2
2 1 ISTAT - Via C. Balbo, 16 - 00184 Roma, Italy Dipartimento di Metodi Quantitativi e Teoria Economica, Viale Pindaro, 42 - 65127 Pescara, Italy
ABSTRACT. The formulation and the evaluation of environmental policy depend upon a general class of latent variable models known as multivariate receptor models. Estimation of the number of major pollution sources, the source composition profiles and the source contributions are the main interests in multivariate receptor modelling. Many different approaches have been proposed both when the number of sources is unknown (explorative factorial analysis) and when the number and the type of sources are known (regression models). The objective of this work is to propose a flexible approach to the multivariate receptor models that incorporates the extra variability due to the spatial dependence. The method is applied to Lombardia air pollution data. Keywords: Covariance modelling, environmental data, latent variable models, multivariate receptor models, spatio-temporal modelling
1. Introduction
In the past few years interest in air quality monitoring has increased, specifically pertaining to the identification of pollution sources and their information needed to implement air pollution control programs. Since observing the quantity of various pollutants emitted from all potential pollution sources is virtually impossible, receptor models are used to analyze concentrations of pollutants or particles measured over time in order to gain insight concerning the unobserved pollution sources. Multivariate receptor modeling aims to identify the pollution sources and assess the amounts of pollution by resolving the measured mixture of chemical species into the
05JEI00041 1726-2135/1684-8799 © 2005 ISEIS www.iseis.org/jei doi:10.3808/jei.200500041
A Multivariate Approach for the Analysis of Spatially Correlated Environmental Data
A. Lamberti1* and E. Nissi2
2 1 ISTAT - Via C. Balbo, 16 - 00184 Roma, Italy Dipartimento di Metodi Quantitativi e Teoria Economica, Viale Pindaro, 42 - 65127 Pescara, Italy
ABSTRACT. The formulation and the evaluation of environmental policy depend upon a general class of latent variable models known as multivariate receptor models. Estimation of the number of major pollution sources, the source composition profiles and the source contributions are the main interests in multivariate receptor modelling. Many different approaches have been proposed both when the number of sources is unknown (explorative factorial analysis) and when the number and the type of sources are known (regression models). The objective of this work is to propose a flexible approach to the multivariate receptor models that incorporates the extra variability due to the spatial dependence. The method is applied to Lombardia air pollution data. Keywords: Covariance modelling, environmental data, latent variable models, multivariate receptor models, spatio-temporal modelling
1. Introduction
In the past few years interest in air quality monitoring has increased, specifically pertaining to the identification of pollution sources and their information needed to implement air pollution control programs. Since observing the quantity of various pollutants emitted from all potential pollution sources is virtually impossible, receptor models are used to analyze concentrations of pollutants or particles measured over time in order to gain insight concerning the unobserved pollution sources. Multivariate receptor modeling aims to identify the pollution sources and assess the amounts of pollution by resolving the measured mixture of chemical species into the
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