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Agricultural Drought Indices - US Department of Agriculture

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Water Balance—Tools for Integration in <strong>Agricultural</strong> <strong>Drought</strong> <strong>Indices</strong><br />

Paulo Cesar Sentelhas<br />

AgMet Group, <strong>Department</strong> <strong>of</strong> Biosystems Eng., ESALQ, University <strong>of</strong> São Paulo<br />

Piracicaba, SP, Brazil<br />

Abstract<br />

An overview <strong>of</strong> water balance models for integration with agricultural drought indices is presented<br />

in this chapter. The basic concepts <strong>of</strong> water balance for agricultural purposes are discussed,<br />

focusing on the complexity <strong>of</strong> the models used to simulate the soil water content. The models are<br />

divided in two groups <strong>of</strong> complexity according to weather, soil, and plant data availability. Simple<br />

models are those based on the computation <strong>of</strong> rainfall and evapotranspiration, whereas complex<br />

models deal with soil water dynamics as a function <strong>of</strong> the interaction among soil-plant-atmosphere<br />

systems. The basic errors associated with these different models are discussed and a clear<br />

distinction is made between systematic and calibration errors. The water balance models currently<br />

most used for agricultural drought index calculation are presented, with an emphasis on the<br />

following models: Thornthwaite and Mather, M<strong>US</strong>AG, Ritchie, and Gevaerd and Freitas. Some<br />

examples are used to demonstrate both the potential and the limitations <strong>of</strong> each one <strong>of</strong> these<br />

models and how their results, as actual evapotranspiration and soil moisture, are used to calculate<br />

agricultural drought indices. Finally, strengths, weaknesses, and limitations <strong>of</strong> the water balance<br />

models for drought monitoring are presented and discussed. Based on this review, it was<br />

concluded that water balance is an indispensable tool for determining agricultural drought indices,<br />

but choosing a given model will depend on input data availability, which is related to the complexity<br />

<strong>of</strong> the models and errors associated with them.<br />

Introduction<br />

<strong>Agriculture</strong> is an economic activity that depends on several factors to be successful. According to<br />

Diepen and Wall (1995), agricultural crop yield can be affected by factors such as abiotic (soil<br />

water, soil fertility, soil type, and weather); crop management (soil tillage, soil depth, fertilization,<br />

planting density, sowing date, weeding, pests, and disease control); land development (field size,<br />

terracing, drainage, and irrigation); socio-economic (infrastructure, market, prices, and costs); and<br />

catastrophic (flooding, frosts, hailstorms, and droughts). Among these factors, weather and<br />

catastrophes associated with it are the most significant, since they affect crop growth, development,<br />

yield, and quality.<br />

Several weather parameters such as temperature, relative humidity, solar radiation, wind speed,<br />

and rainfall can affect crop yield, but in general, temperature and rainfall are considered the most<br />

significant (Boken et al. 2005). For a crop well adapted to a region, the interannual variability <strong>of</strong><br />

temperature can affect crop cycle duration, and when associated with solar radiation, relative<br />

humidity, and wind speed, it can also affect crop water use or crop evapotranspiration. Rainfall is<br />

the source <strong>of</strong> water for the soil, and consequently it affects water availability for crops, which<br />

depends on the physical properties <strong>of</strong> the soil and also on the balance between water inputs and<br />

outputs. This balance is called the water balance, and it is an accounting <strong>of</strong> all water that enters<br />

and leaves a given volume <strong>of</strong> soil over a specified period <strong>of</strong> time, influencing the soil water content.<br />

When the objective is to monitor and evaluate the effect <strong>of</strong> droughts on agriculture, the use <strong>of</strong> the<br />

water balance data is essential, since it allows the determination <strong>of</strong> how much water is effectively<br />

used by crops as a consequence <strong>of</strong> soil moisture and atmospheric demand. However, an<br />

agricultural drought is very complex to quantify, considering several aspects from the soil-plantatmosphere<br />

systems, such as soil water holding capacity, crop type, crop sensitivity to water stress,<br />

crop water requirement for each one <strong>of</strong> its phenological phases, and management practices.<br />

Moreover, taking all these aspects into account, the estimation <strong>of</strong> the water balance by models is<br />

very complex and difficult to use in an operational system. On the other hand, very simple water<br />

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