Analyzing incomplete spatial data in air pollution prediction

Man V.M. Nguyen

Abstract


In air pollution studies at metropolis, as in Bangkok or Saigon, installation of new stations for monitoring dangerous pollution sources is
costly. Using statistical models and analyzing data sets collected at good
stations to predict air pollution levels at malfunctioning stations, therefore,
are highly demanding. We study air pollution prediction by geo-statistical
methods with a realistic dataset costly observed in Ho Chi Minh City. Geostatistics includes statistical methods for modeling of spatially continuous
phenomena, using data measured at a finite number of locations to build
up right models, to estimate and predict values of interest (such as air or
water pollutant levels in a geographical region, oil volumes of reservoirs
under the ocean bed...) at unmeasured locations. To analyze our multivariate data (of SO2, PM-10 and benzen, where the last two are popular
air pollution causes at metropolis) recorded in HCMC since 2003, we start
from determining suitable co-kriging models for pollutants to predicting
these pollutant concentrations at some un-measured stations in the city.
The paper’s key contributions include, firstly, formulating co-kriging
models and computing theirs optimal unbiased estimators for air pollution prediction using the valuable observed data with two pollutants; secondly, proposing a computational mechanism (progressively co-kriging imputation) to deal with missing data at unmeasured monitoring sites

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