Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Developing a geostatistical simulation method to inform the quantity and placement of new monitors for a follow-up air sampling campaign

Abstract

Sampling campaign design is a crucial aspect of air pollution exposure studies. Selection of both monitor numbers and locations is important for maximizing measured information, while minimizing bias and costs. We developed a two-stage geostatistical-based method using pilot NO2 samples from Lanzhou, China with the goal of improving sample design decision-making, including monitor numbers and spatial pattern. In the first step, we evaluate how additional monitors change prediction precision through minimized kriging variance. This was assessed in a Monte Carlo fashion by adding up to 50 new monitors to our existing sites with assigned concentrations based on conditionally simulated NO2 surfaces. After identifying a number of additional sample sites, a second step evaluates their potential placement using a similar Monte Carlo scheme. Evaluations are based on prediction precision and accuracy. Costs are also considered in the analysis. It was determined that adding 28-locations to the existing Lanzhou NO2 sampling campaign captured 73.5% of the total kriged variance improvement and resulted in predictions that were on average within 10.9 μg/m3 of measured values, while using 56% of the potential budget. Additional monitor sites improved kriging variance in a nonlinear fashion. This method development allows for informed sampling design by quantifying prediction improvement (accuracy and precision) against the costs of monitor deployment.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Spira-Cohen A, Chen LC, Kendall M, Lall R, Thurston GD. Personal exposures to traffic-related air pollution and acute respiratory health among bronx school children with asthma. Environ Health Perspect. 2011;119:559–65.

    Article  Google Scholar 

  2. Steinle S, Reis S, Sabel CE, Semple S, Twigg MM, Braban CF. et al. Personal exposure monitoring of PM2.5 in indoor and outdoor microenvironments. Sci Total Environ. 2015;508:383–94.

    Article  CAS  Google Scholar 

  3. Brus DJ, Heuvelink GBM. Optimization of sample patterns for universal kriging of environmental variables. Geoderma. 2007;138:86–95.

    Article  Google Scholar 

  4. Berman JD, Breysse PN, White RH, Waugh DW, Curriero FC. Evaluating methods for spatial mapping: applications for estimating ozone concentrations across the contiguous United States. Environ Technol Innov. 2015;3:1–10.

    Article  Google Scholar 

  5. Mercer LD, Szpiro AA, Sheppard L, Lindström J, Adar SD, Allen RW. et al. Comparing universal kriging and land-use regression for predicting concentrations of gaseous oxides of nitrogen (NOx) for the multi-ethnic study of atherosclerosis and air pollution (MESA Air). Atmos Environ. 2011;45:4412–20.

    Article  CAS  Google Scholar 

  6. Novotny EV, Bechle MJ, Millet DB, Marshall JD. National satellite-based land-use regression: NO2 in the United States. Env Sci Technol. 2011;45:4407–14.

    Article  CAS  Google Scholar 

  7. Beelen R, Hoek G, Pebesma E, Vienneau D, de Hoogh K, Briggs DJ. Mapping of background air pollution at a fine spatial scale across the European Union. Sci Total Environ. 2009;407:1852–67.

    Article  CAS  Google Scholar 

  8. Lee A, Szpiro A, Kim Sy, Sheppard L. Impact of preferential sampling on exposure prediction and health effect inference in the context of air pollution epidemiology. Environmetrics. 2015;26:255–67.

    Article  CAS  Google Scholar 

  9. Gryparis A, Paciorek CJ, Zeka A, Schwartz J, Coull BA. Measurement error caused by spatial misalignment in environmental epidemiology. Biostatistics. 2009;10:258–74.

    Article  Google Scholar 

  10. Matte TD, Ross Z, Kheirbek I, Eisl H, Johnson S, Gorczynski JE. et al. Monitoring intraurban spatial patterns of multiple combustion air pollutants in New York City: design and implementation. J Expo Sci Environ Epidemiol. 2013;23:223–31.

    Article  CAS  Google Scholar 

  11. Szpiro AA, Sampson PD, Sheppard L, Lumley T, Adar SD, Kaufman JD. Predicting intraurban variation in air pollution concentrations with complex spatio-temporal dependencies. Environmetrics. 2010;21:606–31.

    CAS  Google Scholar 

  12. Jerrett M, Arain MA, Kanaroglou P, Beckerman B, Crouse D, Gilbert NL. et al. Modeling the intraurban variability of ambient traffic pollution in Toronto, Canada. J Toxicol Environ Health Part Curr Issues. 2007;70:200.

    Article  CAS  Google Scholar 

  13. Diggle PJ, Menezes R, Su T. Geostatistical inference under preferential sampling. J R Stat Soc Ser C Appl Stat. 2010;59:191–232.

    Article  Google Scholar 

  14. Gelfand AE, Sahu SK, Holland DM. On the effect of preferential sampling in spatial prediction. Environmetrics. 2012;23:565–78.

    Article  CAS  Google Scholar 

  15. Kumar N, Nixon V, Sinha K, Jiang X, Ziegenhorn S, Peters T. An optimal spatial configuration of sample sites for air pollution monitoring. J Air Waste Manag Assoc. 2009;59:1308–16.

    Article  Google Scholar 

  16. Su JG, Larson T, Baribeau A-M, Brauer M, Rensing M, Buzzelli M. Spatial modeling for air pollution monitoring network design: example of residential woodsmoke. J Air Waste Manag Assoc. 2007;57:893–900.

    Article  CAS  Google Scholar 

  17. Kanaroglou PS, Jerrett M, Morrison J, Beckerman B, Arain MA, Gilbert NL. et al. Establishing an air pollution monitoring network for intraurban population exposure assessment: a location–allocation approach. Atmos Environ. 2005;39:2399–409.

    Article  CAS  Google Scholar 

  18. Romary T, de Fouquet C, Malherbe L. Sampling design for air quality measurement surveys: an optimization approach. Atmos Environ. 2011;45:3613–20.

    Article  CAS  Google Scholar 

  19. Nitrogen Oxides Diffusion Tubes. Environmental Monitoring Products. Ormantine USA, Ltd. http://www.ormantineusa.com/nitrogen-oxides-diffusion-tubes Accessed Jan 13, 2017.

  20. Ebisu K, Holford TR, Belanger KD, Leaderer BP, Bell ML. Urban land-use and respiratory symptoms in infants. Environ Res. 2011;111:677–84.

    Article  CAS  Google Scholar 

  21. Adamkiewicz G, Hsu H-H, Vallarino J, Melly SJ, Spengler JD, Levy JI. Nitrogen dioxide concentrations in neighborhoods adjacent to a commercial airport: a land-use regression modeling study. Environ Health. 2010;9:73.

    Article  Google Scholar 

  22. Ross Z, English PB, Scalf R, Gunier R, Smorodinsky S, Wall S. et al. Nitrogen dioxide prediction in Southern California using land-use regression modeling: potential for environmental health analyses. J Expo Sci Environ Epidemiol. 2005;16:106–14.

    Article  Google Scholar 

  23. Young MT, Bechle MJ, Sampson PD, Szpiro AA, Marshall JD, Sheppard L. et al. Satellite-based NO2 and model validation in a national prediction model based on universal kriging and land-use regression. Environ Sci Technol. 2016;50:3686–94.

    Article  CAS  Google Scholar 

  24. Bostan PA, Heuvelink GBM, Akyurek SZ. Comparison of regression and kriging techniques for mapping the average annual precipitation of Turkey. Int J Appl Earth Obs Geoinf. 2012;19:115–26.

    Article  Google Scholar 

  25. Cressie, NAC Statistics for Spatial Data. J. Wiley; 1993.

  26. Diggle PJ. Model‐based geostatistics. J R Stat Soc Ser C Appl Stat. 1998;47:299.

    Article  Google Scholar 

  27. Bivand, RS; Pebesma, EJ; Gómez-Rubio, V. Applied Spatial Data Analysis with R. Springer; 2008.

  28. Curran PJ, Atkinson PM. Geostatistics and remote sensing. Prog Phys Geogr. 1998;22:61–78.

    Article  Google Scholar 

  29. Gotway CA. The use of conditional simulation in nuclear-waste-site performance assessment. Technometrics. 1994;36:129–41.

    Article  Google Scholar 

  30. Gaffney SH, Curriero FC, Strickland PT, Glass GE, Helzlsouer KJ, Breysse PN. Influence of geographic location in modeling blood pesticide levels in a community surrounding a U.S. Environmental protection agency superfund site. Environ Health Perspect. 2005;113:1712–6.

    Article  CAS  Google Scholar 

  31. Pebesma EJ. Multivariable geostatistics in S: The Gstat Package. Comput Geosci. 2004;30:683

    Article  Google Scholar 

  32. Cambardella CA, Moorman TB, Parkin TB, Karlen DL, Novak JM, Turco RF. et al. Field-scale variability of soil properties in Central Iowa Soils. Soil Sci Soc Am J. 1994;58:1501–11.

    Article  Google Scholar 

  33. Sampson PD, Richards M, Szpiro AA, Bergen S, Sheppard L, Larson TV. et al. A regionalized national universal kriging model using partial least squares regression for estimating annual PM2.5 concentrations in epidemiology. Atmos Environ. 2013;75:383–92.

    Article  CAS  Google Scholar 

  34. Grisotto L, Consonni D, Cecconi L, Catelan D, Lagazio C, Bertazzi PA. et al. Geostatistical integration and uncertainty in pollutant concentration surface under preferential sampling. Geospatial Health. 2016;11:56–61.

    Article  Google Scholar 

  35. Delfino RJ, Wu J, Tjoa T, Gullesserian SK, Nickerson B, Gillen DL. Asthma Morbidity and Ambient Air Pollution: Effect Modification by Residential Traffic-Related Air Pollution. Epidemiology 2014; 25:48–57.

    Article  Google Scholar 

  36. Gurung A, Levy JI, Bell ML. Modeling the intraurban variation in nitrogen dioxide in urban areas in Kathmandu Valley, Nepal. Environ Res. 2017;155:42–48.

    Article  CAS  Google Scholar 

  37. Van Groenigen JW. The influence of variogram parameters on optimal sampling schemes for mapping by kriging. Geoderma. 2000;97:223–36.

    Article  Google Scholar 

Download references

Acknowledgments

We acknowledge Qiusheng Jin, Bei Zhang, and Yaqun Zhang for assistance in the field work. L. Jin was supported by a Yale Hixon Center for Urban Ecology Research Fellowship, a Yale Tropical Resources Institute Endowment Fellowship, Yale Global Health Initiative Field Experience Award, and a Yale Graduate School John F Enders Fellowship. This article was developed under Assistance Agreement No. RD835871 awarded by the U.S. Environmental Protection Agency to Yale University. It has not been formally reviewed by EPA. The views expressed in this document are solely those of the authors and do not necessarily reflect those of the Agency. EPA does not endorse any products or commercial services mentioned in this publication.

Funding

L. Jin was supported by a Yale Hixon Center for Urban Ecology Research Fellowship, a Yale Tropical Resources Institute Endowment Fellowship, Yale Global Health Initiative Field Experience Award, and a Yale Graduate School John F. Enders Fellowship. This article was developed under Assistance Agreement No. RD835871 awarded by the U.S. Environmental Protection Agency to Yale University. It has not been formally reviewed by EPA. The views expressed in this document are solely those of the authors and do not necessarily reflect those of the Agency. EPA does not endorse any products or commercial services mentioned in this publication.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. D. Berman.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Berman, J.D., Jin, L., Bell, M.L. et al. Developing a geostatistical simulation method to inform the quantity and placement of new monitors for a follow-up air sampling campaign. J Expo Sci Environ Epidemiol 29, 248–257 (2019). https://doi.org/10.1038/s41370-018-0073-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41370-018-0073-6

Keywords

Search

Quick links