Skip to main content
Log in

Modeling Crop Phenology in the US Corn Belt Using Spatially Referenced SMOS Satellite Data

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

Abstract

Satellite measurements follow the growth and senescence of vegetation aid in monitoring crop development within and across growing seasons. For example, identifying when crops reach their peak growth stage or modeling the seasonal growing cycle is useful for agronomists and climatologists. In this paper, we analyze remote sensing data from an intensively cultivated agricultural region in the Midwest to provide new information about crop phenology. There is both a temporal and spatial dimension to the data as they are collected every 12 – 36 hours over regions approximately the size of a 45 km diameter circle. We represent the measurements using a functional data approach and account for spatial dependence between locations through the functional curve coefficients. Modeling across multiple growing years, and including growing degree days as a covariate, we estimate the timing for when crops reach their peak each season and make predictions at unobserved locations.

Supplementary materials accompanying this paper appear online.

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
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Baladandayuthapani, V., Mallick, B. K., Hong, M. Y., Lupton, J. R., Turner, N. D., and Carroll, R. J. (2008), “Bayesian Hierarchical Spatially Correlated Functional Data Analysis with Application to Colon Carcinogenesis,” Biometrics, 64, 64–73.

    Article  MathSciNet  Google Scholar 

  • Banerjee, S., Carlin, B. P., and Gelfand, A. E. (2014), Hierarchical Modeling and Analysis for Spatial Data, CRC Press, Boca Raton, FL.

    Book  Google Scholar 

  • Betancourt, M. and Girolami, M. (2015), “Hamiltonian Monte Carlo for hierarchical models,” Current trends in Bayesian methodology with applications, 79, 2–4.

    Google Scholar 

  • Brabanter, K. D., Brabanter, J. D., Suykens, J. A., and Moor, B. D. (2011), “Kernel regression in the presence of correlated errors,” Journal of Machine Learning Research, 12, 1955–1976.

    MathSciNet  MATH  Google Scholar 

  • Cressie, N. (2015), Statistics for Spatial Data, Wiley, Hoboken, NJ.

    MATH  Google Scholar 

  • Department of Agronomy. Iowa State University (Accessed September 30, 2018), “Iowa Environmental Mesonet.” https://mesonet.agron.iastate.edu/.

  • Flaxman, S., Gelman, A., Neill, D., Smola, A., Vehtari, A., and Wilson, A. G. (2015), “Fast hierarchical Gaussian processes,” Manuscript in Progress.

  • Gelman, A., Meng, X.-L., and Stern, H. (1996), “Posterior predictive assessment of model fitness via realized discrepancies,” Statistica Sinica, 733–760.

  • Gelman, A., Rubin, D. B., et al. (1992), “Inference from iterative simulation using multiple sequences,” Statistical Science, 7, 457–472.

    Article  Google Scholar 

  • Gelman, A. et al. (2006), “Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper),” Bayesian Analysis, 1, 515–534.

    Article  MathSciNet  Google Scholar 

  • Gromenko, O., Kokoszka, P., Zhu, L., and Sojka, J. (2012), “Estimation and testing for spatially indexed curves with application to ionospheric and magnetic field trends,” The Annals of Applied Statistics, 669–696.

  • Guo, J., Betancourt, M., Brubaker, M., Carpenter, B., Goodrich, B., Hoffman, M., Lee, D., Malecki, M., and Gelman, A. (2014), “RStan: The R interface to Stan,”.

  • Hollinger, S. E. and Angel, J. R. (2009), “Weather and crops,” Emerson Nafziger (compiling). Illinois Agronomy Handbook. 24th Edition. Illinois: University of Illinois at Urbana-Champaign.

    Google Scholar 

  • Hornbuckle, B. K., Patton, J. C., VanLoocke, A., Suyker, A. E., Roby, M. C., Walker, V. A., Iyer, E. R., Herzmann, D. E., and Endacott, E. A. (2016), “SMOS optical thickness changes in response to the growth and development of crops, crop management, and weather,” Remote Sensing of Environment, 180, 320–333.

    Article  Google Scholar 

  • Jackson, T. and Schmugge, T. (1991), “Vegetation effects on the microwave emission of soils,” Remote Sensing of Environment, 36, 203–212.

    Article  Google Scholar 

  • Kerr, Y. H., Waldteufel, P., Richaume, P., Wigneron, J. P., Ferrazzoli, P., Mahmoodi, A., Al Bitar, A., Cabot, F., Gruhier, C., Juglea, S. E., et al. (2012), “The SMOS soil moisture retrieval algorithm,” IEEE Transactions on Geoscience and Remote Sensing, 50, 1384–1403.

    Article  Google Scholar 

  • Kerr, Y. H., Waldteufel, P., Wigneron, J.-P., Delwart, S., Cabot, F., Boutin, J., Escorihuela, M.-J., Font, J., Reul, N., Gruhier, C., Juglea, S. E., Drinkwater, M. R., Hahne, A., Martin-Neira, M., and Mecklenburg, S. (2010), “The SMOS mission: New tool for monitoring key elements of the global water cycle,” Proceedings of the IEEE, 98, 666–687.

    Article  Google Scholar 

  • Lawrence, H., Wigneron, J.-P., Richaume, P., Novello, N., Grant, J., Mialon, A., Al Bitar, A., Merlin, O., Guyon, D., Leroux, D., et al. (2014), “Comparison between SMOS Vegetation Optical Depth products and MODIS vegetation indices over crop zones of the USA,” Remote Sensing of Environment, 140, 396–406.

    Article  Google Scholar 

  • Li, Y., Wang, N., Hong, M., Turner, N. D., Lupton, J. R., and Carroll, R. J. (2007), “Nonparametric Estimation of Correlation Functions in Longitudinal and Spatial Data, with Application to Colon Carcinogenesis Experiments,” The Annals of Statistics, 35, 1608–1643.

    Article  MathSciNet  Google Scholar 

  • Liu, C., Ray, S., and Hooker, G. (2017), “Functional principal component analysis of spatially correlated data,” Statistics and Computing, 27, 1639–1654.

    Article  MathSciNet  Google Scholar 

  • Liu, C., Ray, S., Hooker, G., and Friedl, M. (2012), “Functional Factor Analysis for Periodic Remote Sensing Data,” The Annals of Applied Statistics, 6, 601–624.

    Article  MathSciNet  Google Scholar 

  • Mammen, E. (1993), “Bootstrap and wild bootstrap for high dimensional linear models,” The Annals of Statistics, 255–285.

  • Matérn, B. (1986), Spatial Variation, vol. 36 of Lecture Notes in Statistics, Springer Verlag, New York, NY, 2nd ed.

  • McMaster, G. S. and Wilhelm, W. (1997), “Growing degree-days: one equation, two interpretations,” Agricultural and Forest Meteorology, 87, 291–300.

    Article  Google Scholar 

  • Patton, J. and Hornbuckle, B. (2013), “Initial validation of SMOS vegetation optical thickness in Iowa,” IEEE Geoscience and Remote Sensing Letters, 10, 647–651.

    Article  Google Scholar 

  • R Core Team (2020), R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria.

  • Ramsay, J., Hooker, G., and Graves, S. (2009), “Exploring variation: functional principal and canonical components analysis,” Functional Data Analysis with R and MATLAB, 99–115.

  • USDA-NASS (Accessed September 30, 2018), “NASS Weekly Crop Reports.” https://www.nass.usda.gov/Publications/Reports_By_Date/.

  • Villarreal-Guerrero, F., Kacira, M., Fitz-Rodríguez, E., Kubota, C., Giacomelli, G. A., Linker, R., and Arbel, A. (2012), “Comparison of three evapotranspiration models for a greenhouse cooling strategy with natural ventilation and variable high pressure fogging,” Scientia Horticulturae, 134, 210–221.

    Article  Google Scholar 

  • Zhang, H. (2004), “Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics,” Journal of the American Statistical Association, 99, 250–261.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhengyuan Zhu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (pdf 534 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lewis-Beck, C., Zhu, Z., Walker, V. et al. Modeling Crop Phenology in the US Corn Belt Using Spatially Referenced SMOS Satellite Data. JABES 25, 657–675 (2020). https://doi.org/10.1007/s13253-020-00419-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13253-020-00419-x

Keywords

Navigation