Abstract
We construct partial linear models to predict Minnesota corn and soybean yields by county. Climate variables, such as monthly precipitation and temperature measures, are included as covariates. However, fitting a standard linear regression is inadequate, and hence, an arbitrary nonparametric function over time is included for superior prediction performance. In a novel approach, the nonparametric component is approximated using an increasing sequence of orthonormal basis functions of the appropriate function space. We use different bootstrap schemes to produce prediction bounds and error estimates for the model, since the noise terms appear to be heteroscedastic and non-normal in the data. Results are presented and caveats and extensions to the model are also discussed.
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References
Adrian D (2012) A model-based approach to forecasting corn and soybean yields. Technical report, USDA, National Agricultural Statistics Service, R & D Division
Efron B (1979) Bootstrap methods: another look at the Jackknife. Ann Stat 7(1):1–26
Efron B, Tibshirani RJ (1993) An introduction to the bootstrap. Chapman and Hall/CRC, New York
Green P, Silverman BW (1994) Nonparametric regression and generalized linear models: a roughness penalty approach. Monographs on statistics and applied probability, vol 58. Chapman and Hall, London/New York
Hachfeld GA (2012) Federal crop insurance dates, definitions & provisions for Minnesota crops. http://www.extension.umn.edu/agriculture/business/commodity-marketing-risk-management/docs/umn-ext-federal-crop-insurance-dates-definitions-and-provisions.pdf
Härdle W, Liang H, Gao J (2000) Partially linear models. Physica-Verlag, Heidelberg/New York
Liu R, Singh K (1992) Efficiency and robustness in resampling. Ann Stat 20(1):370–384
mygeohub (2013) Ag climate view tool: useful to usable (U2U). https://mygeohub.org/groups/utu/acv
Schlenker W, Roberts M (2006) Estimating the impact of climate change on crop yields: the importance of non-linear temperature effects. doi:10.2139/ssrn.934549
Takle ES et al (2014) Climate forecasts for corn producer decision making. Earth Interact 18:1–8
Wasserman L (2006) All of nonparametric statistics. Springer, New York/London
Westcott P, Jewison M (2013) Weather effects on expected corn and soybean yields. In: USDA 2013 speeches: managing risk in the 21st century, Arlington
Yang S, Koo W, Wilson W (1992) Heteroskedasticity in crop yield models. J Agric Resour Econ 17(1):103–109
Acknowledgements
This research is partially supported by the National Science Foundation under grant # IIS-1029711.
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Heyman, M., Chatterjee, S. (2015). Predicting Crop Yield via Partial Linear Model with Bootstrap. In: Lakshmanan, V., Gilleland, E., McGovern, A., Tingley, M. (eds) Machine Learning and Data Mining Approaches to Climate Science. Springer, Cham. https://doi.org/10.1007/978-3-319-17220-0_8
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DOI: https://doi.org/10.1007/978-3-319-17220-0_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17219-4
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