Skip to main content

Advertisement

Log in

Exploring Spatial Structure behind the Road Mortality of Regions in Europe

  • Published:
Applied Spatial Analysis and Policy Aims and scope Submit manuscript

Abstract

The Bayesian intrinsic conditional autoregressive convolution model was used to study the spatial variations in road mortality in the regions of Belgium, France and Germany. In all three countries, the spatial structure behind relative risk is significant and spatial heterogeneity predominates over unstructured heterogeneity. The maps of spatially-structured component of random effect enable the spatial structures of risk to be identified and highlight the zones and areas where the mortality risk exhibits spatial dependency. Hence, a west–east gradient in risk level is found in Germany and a north–south gradient in Belgium. In areas with high road network density (and relatively high population density), there is generally less heterogeneity in road mortality across neighbouring regions, while in areas with high regional disparities, there are significant spatial variations in mortality risk. Furthermore, a model was produced for 272 regions in 13 European continental countries, making it possible to investigate whether national borders have any specific effect on the distribution of road mortality risk compared to what happens within countries’ administrative borders. Cross-border regions were found not to be particularly likely to have similar road mortality risk levels where they shared a common national border. National borders have no specific effect on the distribution of road mortality across Europe.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Aberg, L. (1998). Traffic rules and traffic safety. Safety Science, 29(3), 205–215.

    Article  Google Scholar 

  • Aguero-Valverde, J., & Jovanis, P. P. (2006). Spatial analysis of fatal and injury crashes in Pennsylvania. Accident Analysis and Prevention, 38(3), 618–625.

    Article  Google Scholar 

  • Bernardinelli, L., Clayton, D., Pascutto, C., Montomoli, C., Ghislandi, M., & Songini, M. (1995). Bayesian analysis of space–time variation in disease risk. Statistics in Medicine, 14, 2433–2443.

    Article  Google Scholar 

  • Besag, J. (1974). Spatial interaction and the statistical analysis of lattice systems. Journal of the Royal Statistical Society, Series B, 36(2), 192–236.

    Google Scholar 

  • Besag, J., & Kooperberg, C. (1995). On conditional and intrinsic autoregressions. Biometrika, 82, 733–746.

    Google Scholar 

  • Besag, J., York, J., & Mollié, A. (1991). Bayesian image restoration with applications in spatial statistics. Annals of the Institute of Statistical Mathematics , 43, 1–20.

    Article  Google Scholar 

  • Brooks, S. P., & Gelman, A. (1997). General methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics, 7, 434–455.

    Article  Google Scholar 

  • Campbell, J. (2001). Map use and analysis. Boston: McGraw-Hill.

    Google Scholar 

  • Cauzard, (ed) (2004). European drivers and road risk, SARTRE 3 report, Part 2, Report on in-depth analysis, INRETS, 2004.

  • Clayton, D. (1996). Generalised linear mixed models. In W. R. Gilks, S. Richardson, & D. J. Spiegelhalter (Eds.), Markov chain Monte Carlo in practice (pp. 279–301). London: Chapman and Hall.

    Google Scholar 

  • Eksler, V., Lassarre, S., & Thomas, I. (2008). The regional analysis of road mortality in Europe: a Bayesian ecological regression model. Public Health, in press.

  • Elliott, P., Wakefield, J. C., Best, N. G., & Briggs, D. J. (2000). Spatial epidemiology: Methods and applications. Oxford: Oxford University Press.

    Google Scholar 

  • EUROSTAT (2007). Quick indicator 2006, EUROSTAT and DG Energy and Transport, EC.

  • Geweke, J. (2000). Evaluating the accuracy of sampling-based approaches to calculating posterior moments. In J. M. Bernado, J. O. Berger, A. P. Dawid, & A. F. M. Smith (Eds.), (Bayesian Statistics 4), Bayesian Statistics 4. Oxford, UK: Clarendon.

    Google Scholar 

  • Graham, D., Glaister, S., & Anderson, R. (2005). The effects of area deprivation on the incidence of child and adult pedestrian casualties in England. Accident Analysis and Prevention, 37(1), 125–135.

    Article  Google Scholar 

  • Haddon, W. (1980). Options for the prevention of motor vehicle crash injury. Israel Journal of Medical Sciences, 16, 45–65.

    Google Scholar 

  • Knorr-Held, L. (2000). Bayesian modelling of inseparable space–time variation in disease risk. Statistics in Medicine, 19, 2555–2567.

    Article  Google Scholar 

  • Knorr-Held, L., & Besag, J. (1998). Modelling risk from a disease in time and space. Statistics in Medicine, 17, 2045–2060.

    Article  Google Scholar 

  • Knorr-Held, L., & Rasser, G. (2000). Bayesian detection of clusters and discontinuities in disease maps. Biometrics, 56, 13–21.

    Article  Google Scholar 

  • La Torre, G., Van Beeck, E., Quaranta, G., Mannocci, A., & Ricciardi, W. (2007). Determinants of within-country variations in traffic accident mortality in Italy: a geographical analysis. International Journal of Health Geographics, 6, 49.

    Article  Google Scholar 

  • Leviakangas, P. (1998). Accident risk of foreign drivers—the case of Russian drivers in South-Eastern Finland. Accident Analysis and Prevention, 30(2), 245–254.

    Article  Google Scholar 

  • MacNab, Y. (2004). Bayesian spatial and ecological models for small-area accident and injury analysis. Accident Analysis and Prevention, 36(6), 1019–1028.

    Article  Google Scholar 

  • Miaou, S., & Song, J. (2005). Bayesian ranking of sites for engineering safety improvements: decision parameter, treatability concept, statistical criterion, and spatial dependence. Accident Analysis and Prevention, 37(4), 699–720.

    Article  Google Scholar 

  • Miaou, S., Song, J. J., & Mallick, B. K. (2003). Roadway traffic crash mapping: a space–time modelling approach. Journal of Transportation and Statistics, 6(1), 33–57.

    Google Scholar 

  • Mollié, A. (1996). Bayesian mapping of disease. In W. R. Gilks, S. Richardson, & D. J. Spiegelhalter (Eds.), Markov chain Monte Carlo in practice (pp. 279–301). London: Chapman and Hall.

    Google Scholar 

  • Murray, C., & Lopez, A. (1996). The global burden of disease, vol. 1. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Noland, R. B., & Oh, L. (2004). The effect of infrastructure and demographic change on traffic-related fatalities and crashes: a case study of Illinois country-level data. Accident Analysis and Prevention, 36, 525–532.

    Article  Google Scholar 

  • Noland, R. B., & Quddus, M. A. (2004). A spatially disaggregate analysis of road casualties in England. Accident Analysis and Prevention, 36(6), 973–984.

    Article  Google Scholar 

  • OECD (1990). Behavioural adaptation to changes in road transport systems, Road Transport Research. Paris: OECD.

    Google Scholar 

  • Reinfurt, D. W., Stewart, R., & Weaver, N. L. (1991). The economy as a factor in motor vehicle fatalities, suicides, and homicides. Accident Analysis and Prevention, 23(5), 453–462.

    Article  Google Scholar 

  • Richardson, S. (1992). Statistical methods for geographical correlation studies. In P. Elliott, J. Cuzick, D. English, & R. Stern (Eds.), Geographical and environmental epidemiology: methods for small-area studies (pp. 181–204). London: Oxford University Press.

    Google Scholar 

  • Shankar, V., Mannering, F., & Barfield, W. (1995). Effect of roadway geometrics and environmental factors on rural freeway accident frequencies. Accident Analysis and Prevention, 27(3), 371–389.

    Article  Google Scholar 

  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., & Van der Linde, A. (2002). Bayesian measures of model complexity and fit (with discussion). Journal of the Royal Statistical Society, Series B, 64, 583–640.

    Article  Google Scholar 

  • Spiegelhalter, D., Thomas, A., Best, N., & Lunn, D. (2004). WinBUGS User Manual Version 2.0. MRC Biostatistics Unit, Cambridge, UK.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vojtech Eksler.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eksler, V. Exploring Spatial Structure behind the Road Mortality of Regions in Europe. Appl. Spatial Analysis 1, 133–150 (2008). https://doi.org/10.1007/s12061-008-9008-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12061-008-9008-2

Keywords

Navigation