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A Bayesian kriged Kalman model for short-term forecasting of air pollution levels.

A Bayesian kriged Kalman model for short-term forecasting of air pollution levels.
A Bayesian kriged Kalman model for short-term forecasting of air pollution levels.
Short-term forecasts of air pollution levels in big cities are now reported in news-papers and other media outlets. Studies indicate that even short-term exposure to high levels of an air pollutant called atmospheric particulate matter can lead to long-term health effects. Data are typically observed at fixed monitoring stations throughout a study region of interest at different time points. Statistical spatiotemporal models are appropriate for modelling these data. We consider short-term forecasting of these spatiotemporal processes by using a Bayesian kriged Kalman filtering model.
The spatial prediction surface of the model is built by using the well-known method of kriging for optimum spatial prediction and the temporal effects are analysed by using the models underlying the Kalman filtering method. The full Bayesian model is implemented by using Markov chain Monte Carlo techniques which enable us to obtain the optimal Bayesian forecasts in time and space. A new cross-validation method based on the Mahalanobis distance between the forecasts and observed data is also developed to assess the forecasting performance of the model implemented.
bending energy, gibbs sampler, kalman filter, kriging, markov chain monte carlo methods, spatial temporal modelling, state space model
0035-9254
223-244
Sahu, Sujit K.
33f1386d-6d73-4b60-a796-d626721f72bf
Mardia, Kanti V.
2c13c6cf-46cb-406f-a6de-6f2a1163fe98
Sahu, Sujit K.
33f1386d-6d73-4b60-a796-d626721f72bf
Mardia, Kanti V.
2c13c6cf-46cb-406f-a6de-6f2a1163fe98

Sahu, Sujit K. and Mardia, Kanti V. (2005) A Bayesian kriged Kalman model for short-term forecasting of air pollution levels. Journal of the Royal Statistical Society: Series C (Applied Statistics), 54 (1), 223-244. (doi:10.1111/j.1467-9876.2005.00480.x).

Record type: Article

Abstract

Short-term forecasts of air pollution levels in big cities are now reported in news-papers and other media outlets. Studies indicate that even short-term exposure to high levels of an air pollutant called atmospheric particulate matter can lead to long-term health effects. Data are typically observed at fixed monitoring stations throughout a study region of interest at different time points. Statistical spatiotemporal models are appropriate for modelling these data. We consider short-term forecasting of these spatiotemporal processes by using a Bayesian kriged Kalman filtering model.
The spatial prediction surface of the model is built by using the well-known method of kriging for optimum spatial prediction and the temporal effects are analysed by using the models underlying the Kalman filtering method. The full Bayesian model is implemented by using Markov chain Monte Carlo techniques which enable us to obtain the optimal Bayesian forecasts in time and space. A new cross-validation method based on the Mahalanobis distance between the forecasts and observed data is also developed to assess the forecasting performance of the model implemented.

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More information

Published date: 2005
Keywords: bending energy, gibbs sampler, kalman filter, kriging, markov chain monte carlo methods, spatial temporal modelling, state space model
Organisations: Statistics

Identifiers

Local EPrints ID: 30047
URI: http://eprints.soton.ac.uk/id/eprint/30047
ISSN: 0035-9254
PURE UUID: fa0dcf1b-075f-481c-9a8b-f1ba15c81557
ORCID for Sujit K. Sahu: ORCID iD orcid.org/0000-0003-2315-3598

Catalogue record

Date deposited: 12 May 2006
Last modified: 16 Mar 2024 03:15

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Contributors

Author: Sujit K. Sahu ORCID iD
Author: Kanti V. Mardia

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