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Influence of likelihood function choice for estimating crop model parameters using the generalized likelihood uncertainty estimation method

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  • He, Jianqiang
  • Jones, James W.
  • Graham, Wendy D.
  • Dukes, Michael D.

Abstract

Proper estimation of model parameters is required for ensuring accurate model predictions and good model-based decisions. The generalized likelihood uncertainty estimation (GLUE) method is a Bayesian Monte Carlo parameter estimation technique that makes use of a likelihood function to measure the closeness-of-fit of modeled and observed data. Various likelihood functions and methods of combining likelihood values have been used in previous studies. This research was conducted to determine the effects of using previously reported likelihood functions in a GLUE procedure for estimating parameters in a widely-used crop simulation model. A factorial computer experiment was conducted with synthetic measurement data to compare four likelihood functions and three methods of combining likelihood values using the CERES-Maize model of the Decision Support System for Agrotechnology Transfer (DSSAT). The procedure used an arbitrarily-selected parameter set as the known "true parameter set" and the CERES-Maize model to generate true output values. Then synthetic observations of crop variables were randomly generated (four replicates) by using the simulated true output values (dry yield, anthesis date, maturity date, leaf nitrogen concentration, soil nitrate concentration, and soil moisture) and adding a random observation error based on the variances of corresponding field measurements. The environmental conditions were obtained from a sweet corn (Zea mays L.) experiment conducted in 2005 in northern Florida. Results showed that the method of combining likelihood values had a strong influence on parameter estimates. The combination method based on the product of the likelihoods associated with each set of observations reduced the uncertainties in posterior distributions of parameter estimates most significantly. It was also found that the likelihood function based on Gaussian probability density function was the best among those tested. This combination accurately estimated the true parameter values, suggesting that it can be used when estimating CERES-Maize model parameters for real experiments.

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  • He, Jianqiang & Jones, James W. & Graham, Wendy D. & Dukes, Michael D., 2010. "Influence of likelihood function choice for estimating crop model parameters using the generalized likelihood uncertainty estimation method," Agricultural Systems, Elsevier, vol. 103(5), pages 256-264, June.
    • Handle: RePEc:eee:agisys:v:103:y:2010:i:5:p:256-264
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    12. Yan, Ling & Jin, Jiming & Wu, Pute, 2020. "Impact of parameter uncertainty and water stress parameterization on wheat growth simulations using CERES-Wheat with GLUE," Agricultural Systems, Elsevier, vol. 181(C).
    13. Si, Zhuanyun & Zain, Muhammad & Li, Shuang & Liu, Junming & Liang, Yueping & Gao, Yang & Duan, Aiwang, 2021. "Optimizing nitrogen application for drip-irrigated winter wheat using the DSSAT-CERES-Wheat model," Agricultural Water Management, Elsevier, vol. 244(C).
    14. Zhang, Ziya & Li, Yi & Chen, Xinguo & Wang, Yanzi & Niu, Ben & Liu, De Li & He, Jianqiang & Pulatov, Bakhtiyor & Hassan, Ishtiaq & Meng, Qingtao, 2023. "Impact of climate change and planting date shifts on growth and yields of double cropping rice in southeastern China in future," Agricultural Systems, Elsevier, vol. 205(C).
    15. Yingnan Wei & Han Ru & Xiaolan Leng & Zhijian He & Olusola O. Ayantobo & Tehseen Javed & Ning Yao, 2022. "Better Performance of the Modified CERES-Wheat Model in Simulating Evapotranspiration and Wheat Growth under Water Stress Conditions," Agriculture, MDPI, vol. 12(11), pages 1-15, November.
    16. Dzotsi, K.A. & Basso, B. & Jones, J.W., 2015. "Parameter and uncertainty estimation for maize, peanut and cotton using the SALUS crop model," Agricultural Systems, Elsevier, vol. 135(C), pages 31-47.
    17. Yao, Ning & Li, Yi & Xu, Fang & Liu, Jian & Chen, Shang & Ma, Haijiao & Wai Chau, Henry & Liu, De Li & Li, Meng & Feng, Hao & Yu, Qiang & He, Jianqiang, 2020. "Permanent wilting point plays an important role in simulating winter wheat growth under water deficit conditions," Agricultural Water Management, Elsevier, vol. 229(C).
    18. He, Jianqiang & Dukes, Michael D. & Hochmuth, George J. & Jones, James W. & Graham, Wendy D., 2012. "Identifying irrigation and nitrogen best management practices for sweet corn production on sandy soils using CERES-Maize model," Agricultural Water Management, Elsevier, vol. 109(C), pages 61-70.
    19. Chen, Shang & He, Liang & Cao, Yinxuan & Wang, Runhong & Wu, Lianhai & Wang, Zhao & Zou, Yufeng & Siddique, Kadambot H.M. & Xiong, Wei & Liu, Manshuang & Feng, Hao & Yu, Qiang & Wang, Xiaoming & He, J, 2021. "Comparisons among four different upscaling strategies for cultivar genetic parameters in rainfed spring wheat phenology simulations with the DSSAT-CERES-Wheat model," Agricultural Water Management, Elsevier, vol. 258(C).
    20. Yahui Guo & Wenxiang Wu & Mingzhu Du & Christopher Robin Bryant & Yong Li & Yuyi Wang & Han Huang, 2019. "Assessing Potential Climate Change Impacts and Adaptive Measures on Rice Yields: The Case of Zhejiang Province in China," Sustainability, MDPI, vol. 11(8), pages 1-22, April.
    21. Che-Chen Xu & Wen-Xiang Wu & Quan-Sheng Ge & Yang Zhou & Yu-Mei Lin & Ya-Mei Li, 2017. "Simulating climate change impacts and potential adaptations on rice yields in the Sichuan Basin, China," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 22(4), pages 565-594, April.
    22. Attia, Ahmed & El-Hendawy, Salah & Al-Suhaibani, Nasser & Alotaibi, Majed & Tahir, Muhammad Usman & Kamal, Khaled Y., 2021. "Evaluating deficit irrigation scheduling strategies to improve yield and water productivity of maize in arid environment using simulation," Agricultural Water Management, Elsevier, vol. 249(C).

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