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Crop Yield Forecasting

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take place, and the maximum daily temperature, beyond which phenological activity no<br />

longer increases.<br />

The output variables are the following:<br />

• <strong>Crop</strong> development stage;<br />

• <strong>Crop</strong> total biomass and yield under potential & water-limited conditions;<br />

• <strong>Crop</strong> LAI under potential & water-limited conditions; and<br />

• Soil moisture and transpiration.<br />

In recent years, the FROST variable was added to take into account the risk of frost for<br />

winter crops (wheat and barley). The FROST variable is calculated by weather variables and<br />

represents the number of frost days between 1 December and 31 March of a given year. A<br />

day is considered to have frost when the minimum temperature is below 0°C.<br />

2.2.9. <strong>Crop</strong> yield forecast<br />

The WOFOST model provides the following indicators, at 10-day (dekad) intervals:<br />

• Biomass and yield of storage organs in potential conditions and under real<br />

precipitations;<br />

• Estimated soil water reserve (the difference between current and past dekad or<br />

past month);<br />

• Development state of crop cycle during the current dekad.<br />

The final crop yield forecast (Y) is obtained by combining the outputs of the function on<br />

technological trends with those of the agrometeorological model and of the biomass<br />

indicator, as given by remotely sensed data. The model’s equation is:<br />

Y = a + f 1 (Trend) + f 2 (CGMS) + f 3 (RS) + ξ<br />

where<br />

Y<br />

f 1 (t)<br />

f 2 (CGMS)<br />

f 3 (RS)<br />

ξ<br />

= the forecasted yield<br />

= the function linked to the technological trend<br />

= the function linked to the meteorological conditions (agrometeorological<br />

model)<br />

= the function linked to the biomass indicator as given by remotely sensed<br />

data<br />

= the random component (error).<br />

For each circumscription or agricultural region, a linear 42 or quadratic 43 function of the<br />

technological trend is calculated or adjusted by the least square method, over periods of 15<br />

and 30 years.<br />

42<br />

Linear function: y = a + b 1 t.<br />

43<br />

Quadratic function: y = a + b 1 t + b 2 t².<br />

40<br />

<strong>Crop</strong> <strong>Yield</strong> <strong>Forecasting</strong>: Methodological and Institutional Aspects

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