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Agricultural Drought Indices - US Department of Agriculture

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Water Balance as a Tool for <strong>Agricultural</strong> <strong>Drought</strong> Monitoring<br />

Several agricultural drought indices in current use are based on information provided by the water<br />

balance models. Some <strong>of</strong> these indices are listed below, showing how the water balance outputs<br />

are used as inputs for them.<br />

Accumulated Water Deficiency Index (AWDI): This index is simply the sum <strong>of</strong> the water deficiency<br />

during the drought period. Water deficiency is calculated as the difference between ETP and ETa.<br />

The method to estimate these two variables can vary, and the results will vary proportionally. The<br />

most common procedure to determine water deficiency is through Thornthwaite and Mather’s<br />

water balance model, with ETP calculated by Thornthwaite (1948). However, the ETP method can<br />

be changed to produce more reliable results, since the Thornthwaite model used to underestimate<br />

ETP during the dry periods (Sentelhas et al. 2008).<br />

Relative soil moisture index (RSMI): This index is given by the relationship between actual soil<br />

water storage (SWS) and soil water holding capacity (SWHC), in percentage:<br />

RSMI = SWS / SWHC (17)<br />

Relative Water Deficiency Index (RWDI): This index is the water deficiency expressed in<br />

percentage, in relation to ETP:<br />

WDI = (1 – ETa/ETP) * 100 (18)<br />

Crop Moisture Index (CMI): This index is based on the difference between the observed ETa<br />

(ETa obs ) and the expected ETa (ETa exp ) for the period and was proposed by Palmer (1968) as a<br />

simple way for monitoring crop conditions:<br />

CMI = ETa obs – ETa exp (19)<br />

Observed ETa is provided by the serial climatological water balance <strong>of</strong> Thornthwaite and Mather<br />

(1955), whereas expected ETa is the climatological value for the period.<br />

Crop Water Development Index (CWDI): This index is based on soil moisture calculated by the<br />

water balance, according to the following calculations:<br />

• Crop water deficit factor (CWDF):<br />

CWDF = SWS/SWHC (20)<br />

• Crop water development index (CWDI):<br />

CWDI = (CWDF/0.4) – 1 (21)<br />

• Accumulated CWDI (ACWDI):<br />

ACWDI = ∑ [CWDI / (n * 1.5)] (22)<br />

The classes <strong>of</strong> ACWDI are presented in Table 1, showing the relationship between ACWDI and<br />

crop development conditions.<br />

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