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Estimating crop yield via Gaussian quadrature

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  • A. Bhattacharya

Abstract

The present study proposes a method to estimate the yield of a crop. The proposed Gaussian quadrature (GQ) method makes it possible to estimate the crop yield from a smaller subsample. Identification of plots and corresponding weights to be assigned to the yield of plots comprising a subsample is done with the help of information about the full sample on certain auxiliary variables relating to biometrical characteristics of the plant. Computational experience reveals that the proposed method leads to about 78% reduction in sample size with absolute percentage error of 2.7%. Performance of the proposed method has been compared with that of random sampling on the basis of the values of average absolute percentage error and standard deviation of yield estimates obtained from 40 samples of comparable size. Interestingly, average absolute percentage error as well as standard deviation is considerably smaller for the GQ estimates than for the random sample estimates. The proposed method is quite general and can be applied for other crops as well-provided information on auxiliary variables relating to yield contributing biometrical characteristics is available.

Suggested Citation

  • A. Bhattacharya, 2010. "Estimating crop yield via Gaussian quadrature," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(8), pages 1275-1281.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:8:p:1275-1281
    DOI: 10.1080/02664760903012674
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    References listed on IDEAS

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    1. Richard Hooley & Roger Hoffer & Stanley Morain, 1977. "Estimating Agricultural Production by the Use of Satellite Information: An Experiment with Laotian Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 59(4), pages 722-727.
    2. Channing Arndt & Julia Kozlitina & Paul V. Preckel, 2006. "Efficient survey sampling of households via Gaussian quadrature," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 55(3), pages 355-364, May.
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