Abstract
This paper presents the results of sensitivity analysis of FAO 33 method and its modified forms that were developed by Rao et al. (Agric Water Manage 13:25–32, 1988). Results show that positive error of PET and Ky and negative error of AET result in over predicting of relative yield (Yr). Sensitivity of Doorenbos and Kassam (FAO irrigation and drainage paper No. 33. FAO, Rome, Italy, 193 pp, 1979) equation (FAO 33 method) and additive form of Rao et al. (Agric Water Manage 13:25–32, 1988) equation is equal for positive or negative error of Ky and AET, but their sensitivities are greater for negative error of PET than positive error. However, sensitivity of multiplicative form of Rao et al. (Agric Water Manage 13:25–32, 1988) equation is greater for negative error of Ky and PET and positive error of AET. Error percentage on estimation of Yr by multiplicative form of Rao et al. (Agric Water Manage 13:25–32, 1988) equation arising from error of PET, AET, or Ky is less than additive form. In addition, calculated Yr by multiplicative equation is higher than additive form and the difference between two forms of this equation increases severely when water shortage increases. According to the results, it is recommended that multiplicative form of Rao et al. (Agric Water Manage 13:25–32, 1988) equation instead of additive form be used in optimization models and deficit irrigation planning.
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Communicated by A. Kassam.
An erratum to this article can be found at http://dx.doi.org/10.1007/s00271-011-0302-4.
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Kaboosi, K., Kaveh, F. Sensitivity analysis of FAO 33 crop water production function. Irrig Sci 30, 89–100 (2012). https://doi.org/10.1007/s00271-011-0263-7
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DOI: https://doi.org/10.1007/s00271-011-0263-7