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Anisotropic spatial sampling designs for urban pollution

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  • Giuseppe Arbia
  • Giovanni Lafratta

Abstract

Summary. Isotropic processes form an inadequate basis in modelling many spatially distributed data. In particular environmental phenomena often have strong anisotropic spatial variation, especially when the regions monitored are very large. We extend a recently proposed optimal sampling strategy by assuming a spatial anisotropic random field as the basis for the data generator mechanism. The procedure is based on a geographical space transformation indicated by Sampson and Guttorp. We discuss the optimal design and we develop a sequential procedure for selecting a network of monitoring stations in environmental surveys. Some data on sulphur dioxide pollution in Padua (Italy) are analysed to illustrate the method.

Suggested Citation

  • Giuseppe Arbia & Giovanni Lafratta, 2002. "Anisotropic spatial sampling designs for urban pollution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 51(2), pages 223-234, May.
    • Handle: RePEc:bla:jorssc:v:51:y:2002:i:2:p:223-234
    DOI: 10.1111/1467-9876.00265
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    References listed on IDEAS

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    1. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
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    1. Arbia, Giuseppe & Lafratta, Giovanni & Simeoni, Carla, 2007. "Spatial sampling plans to monitor the 3-D spatial distribution of extremes in soil pollution surveys," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 4069-4082, May.
    2. Roberto Benedetti & Federica Piersimoni & Paolo Postiglione, 2017. "Spatially Balanced Sampling: A Review and A Reappraisal," International Statistical Review, International Statistical Institute, vol. 85(3), pages 439-454, December.
    3. Lafratta, Giovanni, 2006. "Efficiency evaluation of MEV spatial sampling strategies: a scenario analysis," Computational Statistics & Data Analysis, Elsevier, vol. 50(3), pages 878-890, February.
    4. Naresh Kumar, 2007. "Spatial Sampling Design for a Demographic and Health Survey," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 26(5), pages 581-599, December.
    5. A. Abu-Awwad & V. Maume-Deschamps & P. Ribereau, 2020. "Fitting spatial max-mixture processes with unknown extremal dependence class: an exploratory analysis tool," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 479-522, June.
    6. Bruno Scarpa, 2005. "Non parametric space-time modeling of SO2 in presence of many missing data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 14(1), pages 67-82, February.

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