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From Natural Resources Evaluation to Spatial Epidemiology: 25 Years in the Making

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Abstract

When, in the winter of 1994, under the supervision of my postdoc adviser André Journel, I started writing Geostatistics for Natural Resources Evaluation in the bedroom of a tiny Palo Alto apartment, little did I know that 25 years later I would be conducting National Institutes of Health (NIH)-funded research on medical geostatistics from a lakefront office nestled in the Irish Hills of Michigan. The professional and personal path that led me to trade the mapping of heavy-metal concentrations in the topsoil of the Swiss Jura for the geostatistical analysis of cancer data was anything but planned, yet André’s help and guidance were instrumental early on. Looking back, shifting scientific interest from the characterization of contaminated sites to human health made sense, as the field of epidemiology is increasingly concerned with the concept of exposome, which comprises all environmental exposures (e.g., air, soil, and drinking water) that a person experiences from conception throughout the life course. Although both environmental and epidemiological data exhibit space–time variability, the latter have specific characteristics that required the adaptation of traditional geostatistical tools, such as semivariogram and kriging. Challenges include: (i) the heteroscedasticity of disease rate data (i.e., larger uncertainty of disease rates computed from small populations), (ii) their uneven spatial support (e.g., rates recorded for administrative units of different size and shape), and (iii) the limitations of Euclidean metrics to embody proximity when dealing with data that pertain to human mobility. Most of these challenges were addressed by borrowing concepts developed in adjacent fields, stressing the value of interdisciplinary research and intellectual curiosity, something I learned as a fresh PhD in agronomical sciences joining André’s research group at the Stanford Center for Reservoir Forecasting in the early 1990s.

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References

  • Anselin L (1995) Local indicators of spatial association—LISA. Geogr Anal 27:93–115

    Google Scholar 

  • Bellier E, Monestiez P, Guinet C (2009) Geostatistical modeling of wildlife populations: a non-stationary hierarchical model for count data. In: Atkinson PM, Lloyd CD (eds) geoENV VII—Geostatistics for environmental applications. Springer, Berlin, pp 1–12

    Google Scholar 

  • Bithell JF (2000) A classification of disease mapping methods. Stat Med 19:2203–2215

    Google Scholar 

  • Boisvert J, Manchuk J, Deutsch CV (2009) Kriging and simulation in the presence of locally varying anisotropy. Math Geosci 41(5):585–601

    Google Scholar 

  • Brus DJ, Boogaard H, Ceccarelli T, Orton TG, Traore S, Zhang M (2018) Geostatistical disaggregation of polygon maps of average crop yields by area-to-point kriging. Eur J Agron 97:48–59

    Google Scholar 

  • Chiles JP, Delfiner P (1999) Geostatistics: modeling spatial uncertainty. Wiley, New York

    Google Scholar 

  • Christakos G, Lai J (1997) A study of the breast cancer dynamics in North Carolina. Soc Sci Med 45(10):1503–1517

    Google Scholar 

  • Cressie N (1993) Statistics for spatial data. Wiley, New York

    Google Scholar 

  • Curriero F (2006) On the use of non-Euclidean distance measures in geostatistics. Math Geol 38(8):907–926

    Google Scholar 

  • Deutsch CV, Journel AG (1998) GSLIB: Geostatistical software library and user’s guide, 2nd edn. Oxford University Press, New York

    Google Scholar 

  • Diggle PJ, Giorgi E (2019) Model-based geostatistics for global public health: methods and applications. CRC Press, Boca Raton

    Google Scholar 

  • Fouedjio F, Desassis N, Romary T (2015) Estimation of space deformation model for non-stationary random functions. Spat Stat 13:45–61

    Google Scholar 

  • Goovaerts P (1997) Geostatistics for natural resources evaluation. Oxford University Press, New York

    Google Scholar 

  • Goovaerts P (1998) Geostatistical tools for characterizing the spatial variability of microbiological and physico-chemical soil properties. Biol Fertil Soils 27(4):315–334

    Google Scholar 

  • Goovaerts P (2005a) Simulation-based assessment of a geostatistical approach for estimation and mapping of the risk of cancer. In: Leuangthong O, Deutsch CV (eds) Geostatistics Banff 2004, vol 2. Kluwer Academic Publishers, Dordrecht, pp 787–796

    Google Scholar 

  • Goovaerts P (2005b) Detection of spatial clusters and outliers in cancer rates using geostatistical filters and spatial neutral models. In: Renard Ph, Demougeot-Renard H, Froidevaux R (eds) geoENV V—Geostatistics for environmental applications. Springer, Berlin, pp 149–160

    Google Scholar 

  • Goovaerts P (2006a) Geostatistical analysis of disease data: accounting for spatial support and population density in the isopleth mapping of cancer mortality risk using area-to-point Poisson kriging. Int J Health Geogr. https://doi.org/10.1186/1476-072X-5-52

    Article  Google Scholar 

  • Goovaerts P (2006b) Geostatistical analysis of disease data: visualization and propagation of spatial uncertainty in cancer mortality risk using Poisson kriging and p-field simulation. Int J Health Geogr. https://doi.org/10.1186/1476-072X-5-7

    Article  Google Scholar 

  • Goovaerts P (2008) Kriging and semivariogram deconvolution in presence of irregular geographical units. Math Geosci 40(1):101–128

    Google Scholar 

  • Goovaerts P (2009a) Combining area-based and individual-level data in the geostatistical mapping of late-stage cancer incidence. Spat Spatiotemporal Epidemiol 1:61–71

    Google Scholar 

  • Goovaerts P (2009b) Medical geography: a promising field of application for geostatistics. Math Geosci 41(3):243–264

    Google Scholar 

  • Goovaerts P (2010) Combining areal and point data in geostatistical interpolation: applications to soil science and medical geography. Math Geosci 42(5):535–554

    Google Scholar 

  • Goovaerts P, Jacquez GM (2004) Accounting for regional background and population size in the detection of spatial clusters and outliers using geostatistical filtering and spatial neutral models: the case of lung cancer in Long Island, New York. Int J Health Geogr. https://doi.org/10.1186/1476-072x-3-14

    Article  Google Scholar 

  • Goovaerts P, Journel AG (1995) Integrating soil map information in modelling the spatial variation of continuous soil properties. Eur J Soil Sci 46(3):397–414

    Google Scholar 

  • Gotway CA, Young LJ (2002) Combining incompatible spatial data. J Am Stat Assoc 97(459):632–648

    Google Scholar 

  • Gotway CA, Young LJ (2007) A geostatistical approach to linking geographically aggregated data from different sources. J Comput Graph Stat 16(1):115–135

    Google Scholar 

  • Jacquez GM, Greiling DA (2004) Geographic boundaries in breast, lung and colorectal cancer in relation to exposure to air toxics in Long Island, New York. Int J Health Geogr 2:4

    Google Scholar 

  • James L, Matthews I, Nix B (2004) Spatial contouring of risk: a tool for environmental epidemiology. Epidemiology 15(3):287–292

    Google Scholar 

  • Journel AG (1989) Fundamentals of geostatistics in five lessons, volume 8 short course in geology. American Geophysical Union, Washington

    Google Scholar 

  • Journel AG (1997) The abuse of principles in model building and the quest for objectivity. In: Baafi EY, Schofield NA (eds) Geostatistics Wollongong ‘96. Kluwer Academic Publishers, Dordrecht, pp 3–14

    Google Scholar 

  • Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic Press, London

    Google Scholar 

  • Krivoruchko K, Gribov A (2004) Geostatistical interpolation and simulation in the presence of barriers. In: Sanchez-Vila X, Carrera J, Gomez-Hernandez JJ (eds) geoENV IV Geostatistics for environmental applications. Kluwer Academic Publishers, Dordrecht, pp 331–342

    Google Scholar 

  • Kulldorff M (2018) SaTScanTM v9.6: Software for the spatial and space-time scan statistics. http://www.satscan.org/. Accessed 20 Jul 2020

  • Kyriakidis P (2004) A geostatistical framework for area-to-point spatial interpolation. Geogr Anal 36(2):259–289

    Google Scholar 

  • Lajaunie C (1991) Local risk estimation for a rare noncontagious disease based on observed frequencies. Note N-36/91/G. Centre de Géostatistique, Fontainebleau, Ecole des Mines de Paris

  • Liu XH, Kyriakidis PC, Goodchild MF (2008) Population density estimation using regression and area-to-point residual kriging. Int J Geogr Inf Sci 22(4):431–447

    Google Scholar 

  • Løland A, Høst G (2003) Spatial covariance modelling in a complex coastal domain by multidimensional scaling. Environmetrics 14(3):307–321

    Google Scholar 

  • López-Quílez A, Muñoz F (2009) Geostatistical computing of acoustic maps in the presence of barriers. Math Comput Model 50(5–6):929–938

    Google Scholar 

  • Luo W (2004) Using a GIS-based floating catchment method to assess areas with shortage of physicians. Health Place 10:1–11

    Google Scholar 

  • Monestiez P, Dubroca L, Bonnin E, Durbec JP, Guinet C (2005) Comparison of model based geostatistical methods in ecology: application to fin whale spatial distribution in northwestern Mediterranean Sea. In: Leuangthong O, Deutsch CV (eds) Geostatistics Banff 2004. Kluwer Academic Publishers, Dordrecht, pp 777–786

    Google Scholar 

  • Monestiez P, Dubroca L, Bonnin E, Durbec JP, Guinet C (2006) Geostatistical modelling of spatial distribution of Balenoptera physalus in the Northwestern Mediterranean Sea from sparse count data and heterogeneous observation efforts. Ecol Model 193(3–4):615–628

    Google Scholar 

  • Oliver MA, Lajaunie C, Webster R, Muir KR, Mann JR (1993) Estimating the risk of childhood cancer. In: Soares A (ed) Geostatistics troia 1992. Kluwer Academic Publishers, Dordrecht, pp 899–910

    Google Scholar 

  • Oliver MA, Webster R, Lajaunie C, Muir KR, Parkes SE, Cameron AH, Stevens MCG, Mann JR (1998) Binomial cokriging for estimating and mapping the risk of childhood cancer. IMA J Math Appl Med 15(3):279–297

    Google Scholar 

  • Oyana TJ, Margai FM (2016) Spatial analysis: statistics, visualization, and computational methods. CRC Press, Boca Raton

    Google Scholar 

  • Rushton G (2003) Public health, GIS, and spatial analytic tools. Annu Rev Public Health 24:43–56

    Google Scholar 

  • Rushton G, Peleg I, Banerjee A, Smith G, West M (2004) Analyzing geographic patterns of disease incidence: rates of late-stage colorectal cancer in Iowa. J Med Syst 28(3):223–236

    Google Scholar 

  • Sampson PD, Guttorp P (1992) Nonparametric estimation of nonstationary spatial covariance structure. J Am Stat Assoc 87(417):108–119

    Google Scholar 

  • Talbot TO, Kulldorff M, Forand SP, Haley VB (2000) Evaluation of spatial filters to create smoothed maps of health data. Stat Med 19:2399–2408

    Google Scholar 

  • Truong P, Heuvelink G, Pebesma E (2014) Bayesian area-to-point kriging using expert knowledge as informative priors? Int J Appl Earth Observ Geoinform 30(1):128–138

    Google Scholar 

  • Ver Hoef JM (2018) Kriging models for linear networks and non-Euclidean distances: cautions and solutions. Methods Ecol Evol 9(6):1600–1613

    Google Scholar 

  • Waller LA, Gotway CA (2004) Applied spatial statistics for public health data. Wiley, New Jersey

    Google Scholar 

Download references

Acknowledgements

This research was funded by grant no. R44-CA192520-02 from the National Cancer Institute. The views stated in this publication are those of the author and do not necessarily represent the official views of the NCI.

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Correspondence to Pierre Goovaerts.

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Goovaerts, P. From Natural Resources Evaluation to Spatial Epidemiology: 25 Years in the Making. Math Geosci 53, 239–266 (2021). https://doi.org/10.1007/s11004-020-09886-x

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