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A GIS Based Water Balance Study of Africa - Physical Land Resources

A GIS Based Water Balance Study of Africa - Physical Land Resources

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14independent water balances. Thus the total water balance <strong>of</strong> a given area is calculated as asummation <strong>of</strong> the water balances <strong>of</strong> each raster cell as shown by the following equations.ET raster = a v ET v + a s E s + a o E o + a i E i (2.1)S raster = a v S v + a s S s + a o S o + a i S i (2.2)R raster = a v R v + a s R s + a o R o + a i R i (2.3)Where ET raster , S raster , R raster are the total evapotranspiration, surface run<strong>of</strong>f, and groundwaterrecharge <strong>of</strong> a raster cell respectively, each having a vegetated, bare-soil, open-water andimpervious area component denoted by a v , a s , a o , and a i , respectively.

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