Implementation of the FAO WaPOR yield estimation formula based on Net Primary Production (NPP): $$AGBM = \left(AOT \times f_c \times \frac{NPP \times 22.222}{1 - MC}\right) / 1000$$ $$CropYield = HI \times AGBM$$
Details
where:
NPP * 22.222converts gC/m2 to dry matter production (kgDM/ha).1 / (1 - MC)adjusts dry matter to fresh storage moisture content.AOTis the above-ground over total biomass ratio (e.g. 0.8).fcis the light use efficiency / crop-specific correction factor (typically 1.0).1000converts kg/ha to t/ha.HIis the Harvest Index (ratio of economic yield to above-ground biomass).
References
Steduto, P., Hsiao, T. C., Fereres, E., & Raes, D. (2012). Crop yield response to water. FAO Irrigation and Drainage Paper 66. Food and Agriculture Organization of the United Nations, Rome.
Bastiaanssen, W. G. M., & Steduto, P. (2012). The water productivity score (WPS) for irrigated crops: Concept and application. Agricultural Water Management, 108, 119-132.