Agricultural Drought Indices - US Department of Agriculture
Agricultural Drought Indices - US Department of Agriculture
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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