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lecture 10 - Estimation of Areal Precipitation from point...

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Estimation of Areal Precipitation from point measurements Most often interested in quantifying rainfall over an entire watershed. Has to be inferred from some sort of weighted average of available point measurements P(x i ) Several methods to determine weights. All require = = N i i i x P P 1 ) ( λ = 1 1 0 i i λ λ
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Arithmetic Average Arithmetic average: Note that all weights equivalent Method OK if gages distributed uniformly over watershed and rainfall does not vary much in space. N i 1 = λ = ) ( 1 i x P N P
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Theissen Method Weight ( λ ι ) is a measure of rain-gage contributing area. Assumes rain at any point in watershed equal to rainfall at nearest station. To determine ( λ ι ): draw lines between locations of adjacent gages perpendicular bisectors drawn for each line extend to form irregular polygon areas A 3 P 3 P 2 P 4 A 2 A 1 P 1 A 4 = = = = ) ( 1 ) ( i i i i i i x P A A x P P A A watershed of area total i to ng contributi polygon area λ λ
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