Skip to main content
Log in

Estimating the Risk of a Crop Epidemic From Coincident Spatio-temporal Processes

  • Published:
Journal of Agricultural, Biological, and Environmental Statistics Aims and scope Submit manuscript

Abstract

Fusarium Head Blight (FHB), or “scab,” is a very destructive disease that affects wheat crops. Recent research has resulted in accurate weather-driven models that estimate the probability of an FHB epidemic based on experiments. However, these predictions ignore two crucial aspects of FHB epidemics: (1) An epidemic is very unlikely to occur unless the plants are flowering, and (2) FHB spreads by its spores, resulting in spatial and temporal dependence in risk. We develop a new approach that combines existing weather-based probabilities with information on flowering dates from survey data, while simultaneously accounting for spatial and temporal dependence. Our model combines two space-time processes, one associated with pure weather-based FHB risks and the other associated with flowering date probabilities. To allow for scalability, we model spatiotemporal dependence via a process convolutions approach. Our sample-based approach produces a realistic assessment of areas that are persistently at high risk (where the probability of an epidemic is elevated for extended time periods), along with associated estimates of uncertainty. We conclude with the application of our approach to a case study from North Dakota.

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.

Similar content being viewed by others

References

  • Banerjee, S. (2005), “On Geodetic Distance Computations in Spatial Modeling,” Biometrics, 61 (2), 617–625.

    Article  MathSciNet  Google Scholar 

  • Calder, C. A., Holloman, C. H., and Higdon, D. M. (2002), “Exploring Space Time Structure in Ozone Concentration Using a Dynamic Process Convolution Model,” in Case Studies in Bayesian Statistics. Vol. VI, New York, NY: Springer-Verlag, pp. 165–177.

    Google Scholar 

  • Champeil, A., Doré, T., and Fourbet, J. (2004), “Fusarium Head Blight: Epidemiological Origin of the Effects of Cultural Practices on Head Blight Attacks and the Production of Mycotoxins by Fusarium in Wheat Grains,” Plant Science, 166 (6), 1389–1415.

    Article  Google Scholar 

  • De Wolf, E., Molineros, J., Wei, C., Lipps, P., Madden, L., and Francl, L. (2003), “Development and Deployment of the Next Generation Prediction Models for Fusarium Head Blight,” National Fusarium Head Blight Forum, Bloomington, Minnesota.

  • Dill-Macky, R., and Jones, R. (2000), “The Effect of Previous Crop Residues and Tillage on Fusarium Head Blight of Wheat,” Plant Disease, 84 (1), 71–76.

    Article  Google Scholar 

  • Dufault, N., De Wolf, E., Lipps, P., and Madden, L. (2006), “Role of Temperature and Moisture in the Production and Maturation of Gibberella zeae Perithecia,” Plant Disease, 90 (5), 637–644.

    Article  Google Scholar 

  • Fernando, W., Miller, J., Seaman, W., Seifert, K., and Paulitz, T. (2000), “Daily and Seasonal Dynamics of Airborne Spores of Fusarium graminearum and Other Fusarium Species Sampled Over Wheat Plots,” Canadian Journal of Botany, 78 (4), 497–505.

    Article  Google Scholar 

  • Finley, A., Banerjee, S., and Carlin, B. (2007), “spBayes: An R Package for Univariate and Multivariate Hierarchical Point-Referenced Spatial Models,” Journal of Statistical Software, 19, 1–20.

    Google Scholar 

  • Flegal, J., Haran, M., and Jones, G. (2008), “Markov Chain Monte Carlo: Can We Trust the Third Significant Figure?” Statistical Science, 23, 250–260.

    Article  MathSciNet  Google Scholar 

  • Gelman, A., Carlin, J., Stern, H., and Rubin, D. (2003), Bayesian Data Analysis, Boca Raton, Florida: Chapman & Hall.

    Google Scholar 

  • Higdon, D. (1998), “A Process-Convolution Approach to Modelling Temperatures in the North Atlantic Ocean (with discussion),” Environmental and Ecological Statistics, 5, 173–190.

    Article  Google Scholar 

  • Higdon, D., Swall, J., and Kern, J. (1999), “Non-Stationary Spatial Modeling,” in Bayesian Statistics 6—Proceedings of the Sixth Valencia International Meeting, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. Smith, Oxford, U.K.: Clarendon Press, pp. 761–768.

    Google Scholar 

  • Hooker, D., Schaafsma, A., and Tamburic-Ilincic, L. (2002), “Using Weather Variables Pre- and Post-Heading to Predict Deoxynivalenol Content in Winter Wheat,” Plant Disease, 86 (6), 611–619.

    Article  Google Scholar 

  • Ihaka, R., and Gentleman, R. (1996), “R: A Language for Data Analysis and Graphics,” Journal of Computational and Graphical Statistics, 5, 299–314.

    Article  Google Scholar 

  • Jones, G. L., Haran, M., Caffo, B. S., and Neath, R. (2006), “Fixed-Width Output Analysis for Markov Chain Monte Carlo,” Journal of the American Statistical Association, 101, 1537–1547.

    Article  MATH  MathSciNet  Google Scholar 

  • Liu, J. S., Wong, W. H., and Kong, A. (1994), “Covariance Structure of the Gibbs Sampler With Applications to the Comparisons of Estimators and Augmentation Schemes,” Biometrika, 81, 27–40.

    Article  MATH  MathSciNet  Google Scholar 

  • Matèrn, B. (1986), “Spatial Variation,” in Lecture Notes in Statistics (2nd ed.), Vol. 36, New York: Springer Verlag. (1st ed. published in 1960.)

    Google Scholar 

  • McMullen, M., Jones, R., and Gallenberg, D. (1997), “Scab of Wheat and Barley: A Re-Emerging Disease of Devastating Impact,” Plant Disease, 81 (12), 1340–1348.

    Article  Google Scholar 

  • Molineros, J. E. (2007), “Understanding the Challenges of Fusarium Head Blight Forecasting,” Ph.D. dissertation, Pennsylvania State University, Dept. of Plant Pathology.

  • Molineros, J., De Wolf, E., and Madden, L. (2008), “Incorporation of Variety Resistance to Spring Wheat Fusarium Head Blight Modeling,” technical report, American Phytopathological Society, Minneapolis, MN.

  • Nganje, W., Bangsund, D., Leistritz, F., Wilson, W., and Tiapo, N. (2004), “Regional Economic Impacts of Fusarium Head Blight in Wheat and Barley,” Review of Agricultural Economics, 26 (3), 332–347.

    Article  Google Scholar 

  • Parry, D., Jenkinson, P., and McLeod, L. (1995), “Fusarium Ear Blight (Scab) in Small Grain Cereals: A Review,” Plant Pathology, 44 (2), 207–238.

    Article  Google Scholar 

  • Rossi, V., Giousue, S., Pattori, E., Spanna, F., and Del Vechio, A. (2003), “A Model Estimating the Risk of Fusarium Head Blight on Wheat,” EPPO/OEPP Bulletin, 33 (3), 421–425.

    Google Scholar 

  • Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P. (1989), “Design and Analysis of Computer Experiments (with discussion),” Statistical Science, 4, 409–423.

    Article  MATH  MathSciNet  Google Scholar 

  • Schabenberger, O., and Gotway, C. (2005), Statistical Methods for Spatial Data Analysis, Boca Raton, Florida: CRC Press.

    MATH  Google Scholar 

  • Schmale, D., Shah, D., and Bergstrom, G. (2005), “Spatial Patterns of Viable Spore Deposition of Gibberella zeae in Wheat Fields,” Phytopathology, 95 (5), 472–479.

    Article  Google Scholar 

  • Short, M. B., Higdon, D. M., and Kronberg, P. P. (2007), “Estimation of Faraday Rotation Measures of the Near Galactic Sky Using Gaussian Process Models,” Bayesian Analysis, 2 (4), 665–680.

    MathSciNet  Google Scholar 

  • Stein, M. L. (1999), Interpolation of Spatial Data: Some Theory for Kriging, New York, NY: Springer-Verlag.

    MATH  Google Scholar 

  • Sutton, J. (1982), “Epidemiology of Wheat Head Blight and Maize Ear Rot Caused by Fusarium graminearum,” Canadian Journal of Plant Pathology, 4, 195–209.

    Article  Google Scholar 

  • Zadocks, J. T. C., and Konzak, C. (1974), “A Decimal Code for the Growth Stages of Cereals,” Weed Research, 14, 415–442.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Murali Haran.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Haran, M., Bhat, K.S., Molineros, J. et al. Estimating the Risk of a Crop Epidemic From Coincident Spatio-temporal Processes. JABES 15, 158–175 (2010). https://doi.org/10.1007/s13253-009-0015-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13253-009-0015-9

Key Words

Navigation