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Site-specific nitrogen recommendation: fast, accurate, and feasible Bayesian kriging

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  • Davood Poursina

    (Oklahoma State University)

  • B. Wade Brorsen

    (Oklahoma State University)

Abstract

Bayesian Kriging (BK) provides a way to estimate regression models where the parameters are smoothed across space. Such estimates could help guide site-specific fertilizer recommendations. One advantage of BK is that it can readily fill in the missing values that are common in yield monitor data. The problem is that previous methods are too computationally intensive to be commercially feasible when estimating a nonlinear production function. This paper sought to increase computational speed by imposing restrictions on the spatial covariance matrix. Previous research used an exponential function for the spatial covariance matrix. The two alternatives considered are the conditional autoregressive and simultaneous autoregressive models. In addition, a new analytical solution is provided for finding the optimal value of nitrogen with a stochastic linear plateau model. A comparison among models in the accuracy and computational burden shows that the restrictions significantly reduced the computational burden, although they did sacrifice some accuracy in the dataset considered.

Suggested Citation

  • Davood Poursina & B. Wade Brorsen, 2025. "Site-specific nitrogen recommendation: fast, accurate, and feasible Bayesian kriging," Computational Statistics, Springer, vol. 40(2), pages 1053-1069, February.
  • Handle: RePEc:spr:compst:v:40:y:2025:i:2:d:10.1007_s00180-024-01527-9
    DOI: 10.1007/s00180-024-01527-9
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    1. Kim, Jeankyung & Kim, Hyune-Ju, 2008. "Asymptotic results in segmented multiple regression," Journal of Multivariate Analysis, Elsevier, vol. 99(9), pages 2016-2038, October.
    2. Quirino Paris, 1992. "The von Liebig Hypothesis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(4), pages 1019-1028.
    3. Klaus Moeltner & A. Ford Ramsey & Clinton L. Neill, 2021. "Bayesian Kinked Regression with Unobserved Thresholds: An Application to the von Liebig Hypothesis," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1832-1856, October.
    4. David Wheeler & Catherine Calder, 2007. "An assessment of coefficient accuracy in linear regression models with spatially varying coefficients," Journal of Geographical Systems, Springer, vol. 9(2), pages 145-166, June.
    5. Frederic Ouedraogo & B. Wade Brorsen, 2018. "Hierarchical Bayesian Estimation of a Stochastic Plateau Response Function: Determining Optimal Levels of Nitrogen Fertilization," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 66(1), pages 87-102, March.
    6. Park, Eunchun & Brorsen, B. Wade & Li, Xiaofei, 2024. "Using Data from Uniform Rate Applications for Site-Specific Nitrogen Recommendations," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 56(1), pages 138-154, February.
    7. David Wheeler & Lance Waller, 2009. "Comparing spatially varying coefficient models: a case study examining violent crime rates and their relationships to alcohol outlets and illegal drug arrests," Journal of Geographical Systems, Springer, vol. 11(1), pages 1-22, March.
    8. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, Enero-Abr.
    9. Earl O. Heady & John Pesek, 1954. "A Fertilizer Production Surface with Specification of Economic Optima for Corn Grown on Calcareous Ida Silt Loam," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 36(3), pages 466-482.
    10. Llewelyn, Richard V. & Featherstone, Allen M., 1997. "A comparison of crop production functions using simulated data for irrigated corn in western Kansas," Agricultural Systems, Elsevier, vol. 54(4), pages 521-538, August.
    11. Luc Anselin & Rodolfo Bongiovanni & Jess Lowenberg-DeBoer, 2004. "A Spatial Econometric Approach to the Economics of Site-Specific Nitrogen Management in Corn Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(3), pages 675-687.
    12. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    13. Spillman, W. J., 1933. "Use of the Exponential Yield Curve in Fertilizer Experiments," Technical Bulletins 163535, United States Department of Agriculture, Economic Research Service.
    14. Ritabrata Das & Moulinath Banerjee & Bin Nan & Huiyong Zheng, 2016. "Fast Estimation of Regression Parameters in a Broken-Stick Model for Longitudinal Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(515), pages 1132-1143, July.
    15. Hurley, Terrance M. & Oishi, Kikuo & Malzer, Gary L., 2005. "Estimating the Potential Value of Variable Rate Nitrogen Applications: A Comparison of Spatial Econometric and Geostatistical Models," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 30(2), pages 1-19, August.
    16. Neil R. Miller, 2006. "Is Site-Specific Yield Response Consistent over Time? Does It Pay?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(2), pages 471-483.
    17. Cui, Qiurong & Xu, Yuqing & Zhang, Zhengjun & Chan, Vincent, 2021. "Max-linear regression models with regularization," Journal of Econometrics, Elsevier, vol. 222(1), pages 579-600.
    18. Venkata Jandhyala & Stergios Fotopoulos & Ian MacNeill & Pengyu Liu, 2013. "Inference for single and multiple change-points in time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(4), pages 423-446, July.
    19. Gelson Tembo & B. Wade Brorsen & Francis M. Epplin & Emílio Tostão, 2008. "Crop Input Response Functions with Stochastic Plateaus," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 90(2), pages 424-434.
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